{"id":1,"expression_no_base_symbol":"(($2277$⪉⨛$1515$⫡⨏$5635$⪝$1058$)∠↢($1381$%$4965$)∇⊂⋱(∤↝$1529$))⫯⪬∳(↨⩢⫨($1978$⇄$2610$⪁$3240$⫃⨇$1610$))","expression":"((≮⫘↔100011100101⪉⨛≮⫘↔10111101011⫡⨏≮⫘↔1011000000011⪝≮⫘↔10000100010)∠↢(≮⫘↔10101100101%≮⫘↔1001101100101)∇⊂⋱(∤↝≮⫘↔10111111001))⫯⪬∳(↨⩢⫨(≮⫘↔11110111010⇄≮⫘↔101000110010⪁≮⫘↔110010101000⫃⨇≮⫘↔11001001010))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7084,"operation_count":12,"complexity_ratio":590.3333333333334,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2277,"base":2},"right_expr":{"type":"numeric_atoms","value":1515,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5635,"base":2},"right_expr":{"type":"numeric_atoms","value":1058,"base":2}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1381,"base":2},"right_expr":{"type":"numeric_atoms","value":4965,"base":2}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1529,"base":2}}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1978,"base":2},"right_expr":{"type":"numeric_atoms","value":2610,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3240,"base":2},"right_expr":{"type":"numeric_atoms","value":1610,"base":2}}}}},"used_operators":["d7ASUq0ydm","KbjG8mgYpV","QMFrweE19q","EWw2JM7wp4","wicAB68Tmb","nhYeJWJD5X","k8jYdgA6NY","3UMq87Qwqg","Z5CJsN7DuW","I7sXao9hZE","3EYGwJThht","09Ly4LVMIf"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≮⫘↔111010010010011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2277","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=1515, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5531","layer":3},{"info":"number node, value=5635","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=5635, right_input=1058, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-18707","layer":3},{"info":"compute binary expreesion, left_input=5531, right_input=-18707, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-8976","layer":2},{"info":"number node, value=1381","layer":4},{"info":"number node, value=4965","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=4965, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1381","layer":3},{"info":"number node, value=1529","layer":4},{"info":"compute unary expreesion, input=1529, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1529","layer":3},{"info":"compute binary expreesion, left_input=1381, right_input=1529, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2216","layer":2},{"info":"compute binary expreesion, left_input=-8976, right_input=2216, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=5962","layer":1},{"info":"number node, value=1978","layer":4},{"info":"number node, value=2610","layer":4},{"info":"compute binary expreesion, left_input=1978, right_input=2610, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3240","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=1610, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6472","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6472, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=5962, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=29843","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100011100101⪉⨛≮⫘↔10111101011⫡⨏≮⫘↔1011000000011⪝≮⫘↔10000100010)∠↢(≮⫘↔10101100101%≮⫘↔1001101100101)∇⊂⋱(∤↝≮⫘↔10111111001))⫯⪬∳(↨⩢⫨(≮⫘↔11110111010⇄≮⫘↔101000110010⪁≮⫘↔110010101000⫃⨇≮⫘↔11001001010))=≮⫘↔111010010010011","reverse_text":"≮⫘↔111010010010011=((≮⫘↔100011100101⪉⨛≮⫘↔10111101011⫡⨏≮⫘↔1011000000011⪝≮⫘↔10000100010)∠↢(≮⫘↔10101100101%≮⫘↔1001101100101)∇⊂⋱(∤↝≮⫘↔10111111001))⫯⪬∳(↨⩢⫨(≮⫘↔11110111010⇄≮⫘↔101000110010⪁≮⫘↔110010101000⫃⨇≮⫘↔11001001010))","cot":[{"info":"≮⫘↔100011100101⪉⨛≮⫘↔10111101011=≮⫘↔1010110011011","layer":3},{"info":"≮⫘↔1011000000011⪝≮⫘↔10000100010=≮⫘↔-100100100010011","layer":3},{"info":"≮⫘↔1010110011011⫡⨏≮⫘↔-100100100010011=≮⫘↔-10001100010000","layer":2},{"info":"≮⫘↔10101100101%≮⫘↔1001101100101=≮⫘↔10101100101","layer":3},{"info":"∤↝≮⫘↔10111111001=≮⫘↔10111111001","layer":3},{"info":"≮⫘↔10101100101∇⊂⋱≮⫘↔10111111001=≮⫘↔100010101000","layer":2},{"info":"≮⫘↔-10001100010000∠↢≮⫘↔100010101000=≮⫘↔1011101001010","layer":1},{"info":"≮⫘↔11110111010⇄≮⫘↔101000110010=≮⫘↔0","layer":3},{"info":"≮⫘↔110010101000⫃⨇≮⫘↔11001001010=≮⫘↔-1100101001000","layer":3},{"info":"≮⫘↔0⪁≮⫘↔-1100101001000=≮⫘↔0","layer":2},{"info":"↨⩢⫨≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔1011101001010⫯⪬∳≮⫘↔0=≮⫘↔111010010010011","layer":0}]}
{"id":2,"expression_no_base_symbol":"($4344$⪃↞⩐)⫉⨲⊜($1428$⋾⨃∁$4072$)⩵∡($4070$⪒⊣⊆$7264$)⪔⊥(↡$1474$)⋻⩜⩜(↞≼($2752$↹⊜$1216$))⇮⋭($1810$⩢≌)⊉↱≁(∤↝$4843$)","expression":"(≮⫘↔1000011111000⪃↞⩐)⫉⨲⊜(≮⫘↔10110010100⋾⨃∁≮⫘↔111111101000)⩵∡(≮⫘↔111111100110⪒⊣⊆≮⫘↔1110001100000)⪔⊥(↡≮⫘↔10111000010)⋻⩜⩜(↞≼(≮⫘↔101011000000↹⊜≮⫘↔10011000000))⇮⋭(≮⫘↔11100010010⩢≌)⊉↱≁(∤↝≮⫘↔1001011101011)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6182,"operation_count":14,"complexity_ratio":441.57142857142856,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":4344,"base":2}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1428,"base":2},"right_expr":{"type":"numeric_atoms","value":4072,"base":2}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4070,"base":2},"right_expr":{"type":"numeric_atoms","value":7264,"base":2}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1474,"base":2}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2752,"base":2},"right_expr":{"type":"numeric_atoms","value":1216,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1810,"base":2}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":4843,"base":2}}}}},"used_operators":["oDCm7WA9JY","Y7wcNGrDQJ","WhqkvtTD3t","grXIztHqDa","212REbPD9h","HJ9erzHUuu","eRqsBgTDFp","MXaNJeIAZ3","vkpjKywKVM","DE7zCoGJt9","9bazX3JMtO","w2P8NbNXyL","D617RFjZIq","3UMq87Qwqg"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eewbuw0ToL","zVYPLywUTj","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","hTbEZDJLEm","o20kRiQErp","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"≮⫘↔10110010011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4344","layer":4},{"info":"compute unary expreesion, input=4344, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=26370","layer":3},{"info":"number node, value=1428","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=4072, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=165762882","layer":3},{"info":"compute binary expreesion, left_input=26370, right_input=165762882, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=4070","layer":4},{"info":"number node, value=7264","layer":4},{"info":"compute binary expreesion, left_input=4070, right_input=7264, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8140","layer":3},{"info":"number node, value=1474","layer":4},{"info":"compute unary expreesion, input=1474, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=13266","layer":3},{"info":"compute binary expreesion, left_input=8140, right_input=13266, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=5829","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5829, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=5708","layer":1},{"info":"number node, value=2752","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=1216, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=544","layer":3},{"info":"compute unary expreesion, input=544, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=3938","layer":2},{"info":"number node, value=1810","layer":4},{"info":"compute unary expreesion, input=1810, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=4843","layer":4},{"info":"compute unary expreesion, input=4843, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=4843","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=4843, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-29042","layer":2},{"info":"compute binary expreesion, left_input=3938, right_input=-29042, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=5708, right_input=67, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=11416","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000011111000⪃↞⩐)⫉⨲⊜(≮⫘↔10110010100⋾⨃∁≮⫘↔111111101000)⩵∡(≮⫘↔111111100110⪒⊣⊆≮⫘↔1110001100000)⪔⊥(↡≮⫘↔10111000010)⋻⩜⩜(↞≼(≮⫘↔101011000000↹⊜≮⫘↔10011000000))⇮⋭(≮⫘↔11100010010⩢≌)⊉↱≁(∤↝≮⫘↔1001011101011)=≮⫘↔10110010011000","reverse_text":"≮⫘↔10110010011000=(≮⫘↔1000011111000⪃↞⩐)⫉⨲⊜(≮⫘↔10110010100⋾⨃∁≮⫘↔111111101000)⩵∡(≮⫘↔111111100110⪒⊣⊆≮⫘↔1110001100000)⪔⊥(↡≮⫘↔10111000010)⋻⩜⩜(↞≼(≮⫘↔101011000000↹⊜≮⫘↔10011000000))⇮⋭(≮⫘↔11100010010⩢≌)⊉↱≁(∤↝≮⫘↔1001011101011)","cot":[{"info":"≮⫘↔1000011111000⪃↞⩐=≮⫘↔110011100000010","layer":3},{"info":"≮⫘↔10110010100⋾⨃∁≮⫘↔111111101000=≮⫘↔1001111000010101011101000010","layer":3},{"info":"≮⫘↔110011100000010⫉⨲⊜≮⫘↔1001111000010101011101000010=≮⫘↔0","layer":2},{"info":"≮⫘↔111111100110⪒⊣⊆≮⫘↔1110001100000=≮⫘↔1111111001100","layer":3},{"info":"↡≮⫘↔10111000010=≮⫘↔11001111010010","layer":3},{"info":"≮⫘↔1111111001100⪔⊥≮⫘↔11001111010010=≮⫘↔1011011000101","layer":2},{"info":"≮⫘↔0⩵∡≮⫘↔1011011000101=≮⫘↔1011001001100","layer":1},{"info":"≮⫘↔101011000000↹⊜≮⫘↔10011000000=≮⫘↔1000100000","layer":3},{"info":"↞≼≮⫘↔1000100000=≮⫘↔111101100010","layer":2},{"info":"≮⫘↔11100010010⩢≌=≮⫘↔1110001","layer":3},{"info":"∤↝≮⫘↔1001011101011=≮⫘↔1001011101011","layer":3},{"info":"≮⫘↔1110001⊉↱≁≮⫘↔1001011101011=≮⫘↔-111000101110010","layer":2},{"info":"≮⫘↔111101100010⇮⋭≮⫘↔-111000101110010=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1011001001100⋻⩜⩜≮⫘↔1000011=≮⫘↔10110010011000","layer":0}]}
{"id":3,"expression_no_base_symbol":"⊀(⨩∲⋌($1629$⊬⨰$1780$))⪬($2114$≎⊠⪸$3242$∪⫐$2971$≨$1036$)","expression":"⊀(⨩∲⋌(≮⫘↔11001011101⊬⨰≮⫘↔11011110100))⪬(≮⫘↔100001000010≎⊠⪸≮⫘↔110010101010∪⫐≮⫘↔101110011011≨≮⫘↔10000001100)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":942,"operation_count":7,"complexity_ratio":134.57142857142858,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1629,"base":2},"right_expr":{"type":"numeric_atoms","value":1780,"base":2}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2114,"base":2},"right_expr":{"type":"numeric_atoms","value":3242,"base":2}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2971,"base":2},"right_expr":{"type":"numeric_atoms","value":1036,"base":2}}}}},"used_operators":["oPMjh9089D","Ez1Nq5fNfI","aSik1wnThz","s3Fd5m9Dh2","7YooWSwCyH","bJkvcejdHO","0KMCeP1Jsh"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rJVOvQCfKK","2DDjHMKMc0","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"≮⫘↔1001001000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1629","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=1780, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=7693","layer":3},{"info":"compute unary expreesion, input=7693, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-8216","layer":2},{"info":"number node, value=2114","layer":4},{"info":"number node, value=3242","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=3242, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=547053","layer":3},{"info":"number node, value=2971","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=1036, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-27234","layer":3},{"info":"compute binary expreesion, left_input=547053, right_input=-27234, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=547053","layer":2},{"info":"compute binary expreesion, left_input=-8216, right_input=547053, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4674","layer":0}],"base":2,"result_base":2,"text":"⊀(⨩∲⋌(≮⫘↔11001011101⊬⨰≮⫘↔11011110100))⪬(≮⫘↔100001000010≎⊠⪸≮⫘↔110010101010∪⫐≮⫘↔101110011011≨≮⫘↔10000001100)=≮⫘↔1001001000010","reverse_text":"≮⫘↔1001001000010=⊀(⨩∲⋌(≮⫘↔11001011101⊬⨰≮⫘↔11011110100))⪬(≮⫘↔100001000010≎⊠⪸≮⫘↔110010101010∪⫐≮⫘↔101110011011≨≮⫘↔10000001100)","cot":[{"info":"≮⫘↔11001011101⊬⨰≮⫘↔11011110100=≮⫘↔1111000001101","layer":3},{"info":"⨩∲⋌≮⫘↔1111000001101=≮⫘↔-10000000011000","layer":2},{"info":"≮⫘↔100001000010≎⊠⪸≮⫘↔110010101010=≮⫘↔10000101100011101101","layer":3},{"info":"≮⫘↔101110011011≨≮⫘↔10000001100=≮⫘↔-110101001100010","layer":3},{"info":"≮⫘↔10000101100011101101∪⫐≮⫘↔-110101001100010=≮⫘↔10000101100011101101","layer":2},{"info":"≮⫘↔-10000000011000⪬≮⫘↔10000101100011101101=≮⫘↔10011010010","layer":1},{"info":"⊀≮⫘↔10011010010=≮⫘↔1001001000010","layer":0}]}
{"id":4,"expression_no_base_symbol":"(($1858$∙∹∝$1336$)≬⇓$4366$⪭≯$1531$∙∹∝$1123$⇤$1124$⩌⋺($5466$⨸⪁$1149$))⩍⋽⫝̸(∓((⇘$4553$)≧⫂∧$7884$⋛$2858$))","expression":"((≮⫘↔11101000010∙∹∝≮⫘↔10100111000)≬⇓≮⫘↔1000100001110⪭≯≮⫘↔10111111011∙∹∝≮⫘↔10001100011⇤≮⫘↔10001100100⩌⋺(≮⫘↔1010101011010⨸⪁≮⫘↔10001111101))⩍⋽⫝̸(∓((⇘≮⫘↔1000111001001)≧⫂∧≮⫘↔1111011001100⋛≮⫘↔101100101010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9685,"operation_count":12,"complexity_ratio":807.0833333333334,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1858,"base":2},"right_expr":{"type":"numeric_atoms","value":1336,"base":2}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4366,"base":2},"right_expr":{"type":"numeric_atoms","value":1531,"base":2}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1123,"base":2},"right_expr":{"type":"numeric_atoms","value":1124,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5466,"base":2},"right_expr":{"type":"numeric_atoms","value":1149,"base":2}}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":4553,"base":2}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":7884,"base":2},"right_expr":{"type":"numeric_atoms","value":2858,"base":2}}}}},"used_operators":["BiWNJpBvwn","HmxsFra2vL","jWTQ2TZYIH","XAx5wpdLa6","g7Hmc5v1ko","YSKBFp38Pu","g55IO6H4Gj","OwUj7dcsQK","Ph9nP6C5qx","MGuIdZPyUC","YbUVn0Rbpy"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"≮⫘↔10010110101001010110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1858","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=1336, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4366","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=1531, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1124, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-8387","layer":3},{"info":"number node, value=5466","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=1149, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13230","layer":3},{"info":"compute binary expreesion, left_input=-8387, right_input=13230, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4964","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4964, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=4553","layer":4},{"info":"compute unary expreesion, input=4553, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=267562","layer":3},{"info":"number node, value=7884","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=7884, right_input=2858, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-61236","layer":3},{"info":"compute binary expreesion, left_input=267562, right_input=-61236, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=328798","layer":2},{"info":"compute unary expreesion, input=328798, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-4936842","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-4936842, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4936369","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11101000010∙∹∝≮⫘↔10100111000)≬⇓≮⫘↔1000100001110⪭≯≮⫘↔10111111011∙∹∝≮⫘↔10001100011⇤≮⫘↔10001100100⩌⋺(≮⫘↔1010101011010⨸⪁≮⫘↔10001111101))⩍⋽⫝̸(∓((⇘≮⫘↔1000111001001)≧⫂∧≮⫘↔1111011001100⋛≮⫘↔101100101010))=≮⫘↔10010110101001010110001","reverse_text":"≮⫘↔10010110101001010110001=((≮⫘↔11101000010∙∹∝≮⫘↔10100111000)≬⇓≮⫘↔1000100001110⪭≯≮⫘↔10111111011∙∹∝≮⫘↔10001100011⇤≮⫘↔10001100100⩌⋺(≮⫘↔1010101011010⨸⪁≮⫘↔10001111101))⩍⋽⫝̸(∓((⇘≮⫘↔1000111001001)≧⫂∧≮⫘↔1111011001100⋛≮⫘↔101100101010))","cot":[{"info":"≮⫘↔11101000010∙∹∝≮⫘↔10100111000=≮⫘↔0","layer":3},{"info":"≮⫘↔1000100001110⪭≯≮⫘↔10111111011=NaN","layer":3},{"info":"≮⫘↔0≬⇓NaN=≮⫘↔0","layer":2},{"info":"≮⫘↔10001100011⇤≮⫘↔10001100100=≮⫘↔-10000011000011","layer":3},{"info":"≮⫘↔1010101011010⨸⪁≮⫘↔10001111101=≮⫘↔11001110101110","layer":3},{"info":"≮⫘↔-10000011000011⩌⋺≮⫘↔11001110101110=≮⫘↔-1001101100100","layer":2},{"info":"≮⫘↔0∙∹∝≮⫘↔-1001101100100=≮⫘↔0","layer":1},{"info":"⇘≮⫘↔1000111001001=≮⫘↔1000001010100101010","layer":3},{"info":"≮⫘↔1111011001100⋛≮⫘↔101100101010=≮⫘↔-1110111100110100","layer":3},{"info":"≮⫘↔1000001010100101010≧⫂∧≮⫘↔-1110111100110100=≮⫘↔1010000010001011110","layer":2},{"info":"∓≮⫘↔1010000010001011110=≮⫘↔-10010110101010010001010","layer":1},{"info":"≮⫘↔0⩍⋽⫝̸≮⫘↔-10010110101010010001010=≮⫘↔10010110101001010110001","layer":0}]}
{"id":5,"expression_no_base_symbol":"(⊬↢(+⊝⨔($5495$⪒$2105$)))⩣⫁∢(⊀(⫟$1293$⫢⨠$6165$))","expression":"(⊬↢(+⊝⨔(≮⫘↔1010101110111⪒≮⫘↔100000111001)))⩣⫁∢(⊀(⫟≮⫘↔10100001101⫢⨠≮⫘↔1100000010101))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1730,"operation_count":7,"complexity_ratio":247.14285714285714,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5495,"base":2},"right_expr":{"type":"numeric_atoms","value":2105,"base":2}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1293,"base":2},"right_expr":{"type":"numeric_atoms","value":6165,"base":2}}}}},"used_operators":["JDUIKTTSIa","WPoGxAaPR1","DhbWaqg5eL","f6k1SAg4EE","oPMjh9089D","z4E1FaHLuy","xlXykHWxX1"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"≮⫘↔-100010011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5495","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=5495, right_input=2105, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7600","layer":3},{"info":"compute unary expreesion, input=-7600, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"number node, value=1293","layer":4},{"info":"number node, value=6165","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=6165, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=427","layer":2},{"info":"compute unary expreesion, input=427, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=1446","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=1446, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-275","layer":0}],"base":2,"result_base":2,"text":"(⊬↢(+⊝⨔(≮⫘↔1010101110111⪒≮⫘↔100000111001)))⩣⫁∢(⊀(⫟≮⫘↔10100001101⫢⨠≮⫘↔1100000010101))=≮⫘↔-100010011","reverse_text":"≮⫘↔-100010011=(⊬↢(+⊝⨔(≮⫘↔1010101110111⪒≮⫘↔100000111001)))⩣⫁∢(⊀(⫟≮⫘↔10100001101⫢⨠≮⫘↔1100000010101))","cot":[{"info":"≮⫘↔1010101110111⪒≮⫘↔100000111001=≮⫘↔-1110110110000","layer":3},{"info":"+⊝⨔≮⫘↔-1110110110000=≮⫘↔10111110010","layer":2},{"info":"⊬↢≮⫘↔10111110010=≮⫘↔11011010","layer":1},{"info":"≮⫘↔10100001101⫢⨠≮⫘↔1100000010101=≮⫘↔10100000","layer":3},{"info":"⫟≮⫘↔10100000=≮⫘↔110101011","layer":2},{"info":"⊀≮⫘↔110101011=≮⫘↔10110100110","layer":1},{"info":"≮⫘↔11011010⩣⫁∢≮⫘↔10110100110=≮⫘↔-100010011","layer":0}]}
{"id":6,"expression_no_base_symbol":"((↥$1814$⪨⊡$7167$)⫏⊷)⫃⨇($4234$⫰⋱$7149$)↢$1510$⊕∕$1033$⨳⩥⨓((⩦⩻⨪$1300$)⇚⪠)","expression":"((↥≮⫘↔11100010110⪨⊡≮⫘↔1101111111111)⫏⊷)⫃⨇(≮⫘↔1000010001010⫰⋱≮⫘↔1101111101101)↢≮⫘↔10111100110⊕∕≮⫘↔10000001001⨳⩥⨓((⩦⩻⨪≮⫘↔10100010100)⇚⪠)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1493,"operation_count":10,"complexity_ratio":149.3,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1814,"base":2},"right_expr":{"type":"numeric_atoms","value":7167,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4234,"base":2},"right_expr":{"type":"numeric_atoms","value":7149,"base":2}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1510,"base":2},"right_expr":{"type":"numeric_atoms","value":1033,"base":2}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1300,"base":2}}}}},"used_operators":["09Ly4LVMIf","dcShxvzhyw","A8NUZmVepG","kuIXHzHcAH","nCS4ZIUYfx","WR6HLWljOP","6o9Blt3TJ6","9cloC0Ngie","Loh9y4A90B","2td37pGCOC"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","k8jYdgA6NY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-110011101010000010111000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1814","layer":4},{"info":"number node, value=7167","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=7167, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":1},{"info":"number node, value=4234","layer":4},{"info":"number node, value=7149","layer":4},{"info":"compute binary expreesion, left_input=4234, right_input=7149, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4201","layer":3},{"info":"number node, value=1510","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=1033, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1510","layer":3},{"info":"compute binary expreesion, left_input=-4201, right_input=1510, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-5382","layer":2},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1300","layer":3},{"info":"compute unary expreesion, input=1300, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=3380000","layer":2},{"info":"compute binary expreesion, left_input=-5382, right_input=3380000, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3385382","layer":1},{"info":"compute binary expreesion, left_input=-818, right_input=3385382, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-13541560","layer":0}],"base":2,"result_base":2,"text":"((↥≮⫘↔11100010110⪨⊡≮⫘↔1101111111111)⫏⊷)⫃⨇(≮⫘↔1000010001010⫰⋱≮⫘↔1101111101101)↢≮⫘↔10111100110⊕∕≮⫘↔10000001001⨳⩥⨓((⩦⩻⨪≮⫘↔10100010100)⇚⪠)=≮⫘↔-110011101010000010111000","reverse_text":"≮⫘↔-110011101010000010111000=((↥≮⫘↔11100010110⪨⊡≮⫘↔1101111111111)⫏⊷)⫃⨇(≮⫘↔1000010001010⫰⋱≮⫘↔1101111101101)↢≮⫘↔10111100110⊕∕≮⫘↔10000001001⨳⩥⨓((⩦⩻⨪≮⫘↔10100010100)⇚⪠)","cot":[{"info":"≮⫘↔11100010110⪨⊡≮⫘↔1101111111111=≮⫘↔0","layer":3},{"info":"↥≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔0⫏⊷=≮⫘↔-1100110010","layer":1},{"info":"≮⫘↔1000010001010⫰⋱≮⫘↔1101111101101=≮⫘↔-1000001101001","layer":3},{"info":"≮⫘↔10111100110⊕∕≮⫘↔10000001001=≮⫘↔10111100110","layer":3},{"info":"≮⫘↔-1000001101001↢≮⫘↔10111100110=≮⫘↔-1010100000110","layer":2},{"info":"⩦⩻⨪≮⫘↔10100010100=≮⫘↔10100010100","layer":3},{"info":"≮⫘↔10100010100⇚⪠=≮⫘↔1100111001001100100000","layer":2},{"info":"≮⫘↔-1010100000110⨳⩥⨓≮⫘↔1100111001001100100000=≮⫘↔1100111010100000100110","layer":1},{"info":"≮⫘↔-1100110010⫃⨇≮⫘↔1100111010100000100110=≮⫘↔-110011101010000010111000","layer":0}]}
{"id":7,"expression_no_base_symbol":"(($3974$∣$1089$)⩖⊿(≅≯⇸$3939$)⋅⇍(⇖(≤/$1485$)))+⇶⊼(($3256$⪶≀⋏$3752$)∼($1312$∲⫓$2642$))⊕∕((∜⨇$5260$)⇄($2026$⋭≵$1471$))","expression":"((≮⫘↔111110000110∣≮⫘↔10001000001)⩖⊿(≅≯⇸≮⫘↔111101100011)⋅⇍(⇖(≤/≮⫘↔10111001101)))+⇶⊼((≮⫘↔110010111000⪶≀⋏≮⫘↔111010101000)∼(≮⫘↔10100100000∲⫓≮⫘↔101001010010))⊕∕((∜⨇≮⫘↔1010010001100)⇄(≮⫘↔11111101010⋭≵≮⫘↔10110111111))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":979,"operation_count":14,"complexity_ratio":69.92857142857143,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3974,"base":2},"right_expr":{"type":"numeric_atoms","value":1089,"base":2}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3939,"base":2}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1485,"base":2}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3256,"base":2},"right_expr":{"type":"numeric_atoms","value":3752,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1312,"base":2},"right_expr":{"type":"numeric_atoms","value":2642,"base":2}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":5260,"base":2}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2026,"base":2},"right_expr":{"type":"numeric_atoms","value":1471,"base":2}}}}},"used_operators":["TpPTUOHfaN","AdZkA7nFnk","RZ5CV9rWsJ","PPChnnnBFF","apS25hmuAe","tfWHHpNKUN","eLAdDNolq6","9cloC0Ngie","DyGG3AbaNP","zR4jO40bMj","i8ToyICDmI","3EYGwJThht","uFPyJr306J","jBncVCNhdl"],"dependent_operators":["AHs5Up7iyr","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","EBcxylXtPf","QMFrweE19q","2DQ55sFlQl","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3974","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=3974, right_input=1089, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3974","layer":3},{"info":"number node, value=3939","layer":4},{"info":"compute unary expreesion, input=3939, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=23433","layer":3},{"info":"compute binary expreesion, left_input=3974, right_input=23433, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=171486","layer":2},{"info":"number node, value=1485","layer":4},{"info":"compute unary expreesion, input=1485, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1001","layer":3},{"info":"compute unary expreesion, input=-1001, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=171486, right_input=160, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=3256","layer":4},{"info":"number node, value=3752","layer":4},{"info":"compute binary expreesion, left_input=3256, right_input=3752, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17504","layer":3},{"info":"number node, value=1312","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=2642, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-17504, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"number node, value=5260","layer":4},{"info":"compute unary expreesion, input=5260, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=1471, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=20","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=20, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111110000110∣≮⫘↔10001000001)⩖⊿(≅≯⇸≮⫘↔111101100011)⋅⇍(⇖(≤/≮⫘↔10111001101)))+⇶⊼((≮⫘↔110010111000⪶≀⋏≮⫘↔111010101000)∼(≮⫘↔10100100000∲⫓≮⫘↔101001010010))⊕∕((∜⨇≮⫘↔1010010001100)⇄(≮⫘↔11111101010⋭≵≮⫘↔10110111111))=NaN","reverse_text":"NaN=((≮⫘↔111110000110∣≮⫘↔10001000001)⩖⊿(≅≯⇸≮⫘↔111101100011)⋅⇍(⇖(≤/≮⫘↔10111001101)))+⇶⊼((≮⫘↔110010111000⪶≀⋏≮⫘↔111010101000)∼(≮⫘↔10100100000∲⫓≮⫘↔101001010010))⊕∕((∜⨇≮⫘↔1010010001100)⇄(≮⫘↔11111101010⋭≵≮⫘↔10110111111))","cot":[{"info":"≮⫘↔111110000110∣≮⫘↔10001000001=≮⫘↔111110000110","layer":3},{"info":"≅≯⇸≮⫘↔111101100011=≮⫘↔101101110001001","layer":3},{"info":"≮⫘↔111110000110⩖⊿≮⫘↔101101110001001=≮⫘↔101001110111011110","layer":2},{"info":"≤/≮⫘↔10111001101=≮⫘↔-1111101001","layer":3},{"info":"⇖≮⫘↔-1111101001=≮⫘↔10100000","layer":2},{"info":"≮⫘↔101001110111011110⋅⇍≮⫘↔10100000=≮⫘↔-10110","layer":1},{"info":"≮⫘↔110010111000⪶≀⋏≮⫘↔111010101000=≮⫘↔-100010001100000","layer":3},{"info":"≮⫘↔10100100000∲⫓≮⫘↔101001010010=≮⫘↔0","layer":3},{"info":"≮⫘↔-100010001100000∼≮⫘↔0=≮⫘↔10100","layer":2},{"info":"∜⨇≮⫘↔1010010001100=NaN","layer":3},{"info":"≮⫘↔11111101010⋭≵≮⫘↔10110111111=≮⫘↔1000011","layer":3},{"info":"NaN⇄≮⫘↔1000011=NaN","layer":2},{"info":"≮⫘↔10100⊕∕NaN=≮⫘↔10100","layer":1},{"info":"≮⫘↔-10110+⇶⊼≮⫘↔10100=NaN","layer":0}]}
{"id":8,"expression_no_base_symbol":"((⪝⪂⫅(∡$2897$))⋷$2404$↞⋁$1715$+⇶⊼($1106$≑≱⪘))⪃↞⩐","expression":"((⪝⪂⫅(∡≮⫘↔101101010001))⋷≮⫘↔100101100100↞⋁≮⫘↔11010110011+⇶⊼(≮⫘↔10001010010≑≱⪘))⪃↞⩐","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":465,"operation_count":7,"complexity_ratio":66.42857142857143,"tree":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2897,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2404,"base":2},"right_expr":{"type":"numeric_atoms","value":1715,"base":2}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1106,"base":2}}}}},"used_operators":["grXIztHqDa","23Mk6UjR3U","XTarYq4gQB","pRsWfj4Fpp","TpPTUOHfaN","RqrPlJkxDo","tGSeddj7UK"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","AHs5Up7iyr","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2897","layer":4},{"info":"compute unary expreesion, input=2897, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2897","layer":3},{"info":"compute unary expreesion, input=-2897, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=425859","layer":2},{"info":"number node, value=2404","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=1715, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=25121","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=25121, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=425859, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪝⪂⫅(∡≮⫘↔101101010001))⋷≮⫘↔100101100100↞⋁≮⫘↔11010110011+⇶⊼(≮⫘↔10001010010≑≱⪘))⪃↞⩐=NaN","reverse_text":"NaN=((⪝⪂⫅(∡≮⫘↔101101010001))⋷≮⫘↔100101100100↞⋁≮⫘↔11010110011+⇶⊼(≮⫘↔10001010010≑≱⪘))⪃↞⩐","cot":[{"info":"∡≮⫘↔101101010001=≮⫘↔-101101010001","layer":3},{"info":"⪝⪂⫅≮⫘↔-101101010001=≮⫘↔1100111111110000011","layer":2},{"info":"≮⫘↔100101100100↞⋁≮⫘↔11010110011=NaN","layer":3},{"info":"≮⫘↔10001010010≑≱⪘=≮⫘↔110001000100001","layer":3},{"info":"NaN+⇶⊼≮⫘↔110001000100001=NaN","layer":2},{"info":"≮⫘↔1100111111110000011⋷NaN=NaN","layer":1},{"info":"NaN⪃↞⩐=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"⨦⪝(⨣⨃⇪(⋠∜(∥⊫$3196$)))","expression":"⨦⪝(⨣⨃⇪(⋠∜(∥⊫≮⫘↔110001111100)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":70,"operation_count":4,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3196,"base":2}}}}},"used_operators":["SUjycxNXIR","AcOhelriW5","ZJpFhNJr3x","P8v4zCKN1o"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-11101011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3196","layer":4},{"info":"compute unary expreesion, input=3196, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4064","layer":3},{"info":"compute unary expreesion, input=4064, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=18540","layer":2},{"info":"compute unary expreesion, input=18540, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":2,"result_base":2,"text":"⨦⪝(⨣⨃⇪(⋠∜(∥⊫≮⫘↔110001111100)))=≮⫘↔-11101011100","reverse_text":"≮⫘↔-11101011100=⨦⪝(⨣⨃⇪(⋠∜(∥⊫≮⫘↔110001111100)))","cot":[{"info":"∥⊫≮⫘↔110001111100=≮⫘↔111111100000","layer":3},{"info":"⋠∜≮⫘↔111111100000=≮⫘↔100100001101100","layer":2},{"info":"⨣⨃⇪≮⫘↔100100001101100=≮⫘↔10101111101","layer":1},{"info":"⨦⪝≮⫘↔10101111101=≮⫘↔-11101011100","layer":0}]}
{"id":10,"expression_no_base_symbol":"((⪭⩑⪱(⪨⨬$6300$))⪣⫩)↳≱((($1001$≀⫉$2785$)⋣⋖($1270$↸$7309$))∋($5557$⋕⪉⪜$8123$)⇻⋧≁(⋠∜$6611$))","expression":"((⪭⩑⪱(⪨⨬≮⫘↔1100010011100))⪣⫩)↳≱(((≮⫘↔1111101001≀⫉≮⫘↔101011100001)⋣⋖(≮⫘↔10011110110↸≮⫘↔1110010001101))∋(≮⫘↔1010110110101⋕⪉⪜≮⫘↔1111110111011)⇻⋧≁(⋠∜≮⫘↔1100111010011))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8573,"operation_count":11,"complexity_ratio":779.3636363636364,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":6300,"base":2}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1001,"base":2},"right_expr":{"type":"numeric_atoms","value":2785,"base":2}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1270,"base":2},"right_expr":{"type":"numeric_atoms","value":7309,"base":2}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5557,"base":2},"right_expr":{"type":"numeric_atoms","value":8123,"base":2}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":6611,"base":2}}}}},"used_operators":["JwTKLfZU96","iuk5sVOGFA","SIgE0bArFf","5obUd6DV38","ukq6epAj5P","J0M6qkBnIM","oZj3VtZNQx","1eCjFl0mb9","jCPkEVoL5K","z6LnFrNh4i","ZJpFhNJr3x"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","T2fj7uvVaJ","nlCqmYiOvY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6300","layer":4},{"info":"compute unary expreesion, input=6300, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute unary expreesion, input=8320752, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=24962223","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2785, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1270","layer":4},{"info":"number node, value=7309","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=7309, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1270","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=1270, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2822","layer":2},{"info":"number node, value=5557","layer":4},{"info":"number node, value=8123","layer":4},{"info":"compute binary expreesion, left_input=5557, right_input=8123, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=6611","layer":4},{"info":"compute unary expreesion, input=6611, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=28728","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=28728, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-917","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-917, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-65912","layer":1},{"info":"compute binary expreesion, left_input=24962223, right_input=-65912, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((⪭⩑⪱(⪨⨬≮⫘↔1100010011100))⪣⫩)↳≱(((≮⫘↔1111101001≀⫉≮⫘↔101011100001)⋣⋖(≮⫘↔10011110110↸≮⫘↔1110010001101))∋(≮⫘↔1010110110101⋕⪉⪜≮⫘↔1111110111011)⇻⋧≁(⋠∜≮⫘↔1100111010011))=≮⫘↔0","reverse_text":"≮⫘↔0=((⪭⩑⪱(⪨⨬≮⫘↔1100010011100))⪣⫩)↳≱(((≮⫘↔1111101001≀⫉≮⫘↔101011100001)⋣⋖(≮⫘↔10011110110↸≮⫘↔1110010001101))∋(≮⫘↔1010110110101⋕⪉⪜≮⫘↔1111110111011)⇻⋧≁(⋠∜≮⫘↔1100111010011))","cot":[{"info":"⪨⨬≮⫘↔1100010011100=≮⫘↔-1000001110","layer":3},{"info":"⪭⩑⪱≮⫘↔-1000001110=≮⫘↔11111101111011011110000","layer":2},{"info":"≮⫘↔11111101111011011110000⪣⫩=≮⫘↔1011111001110010010101111","layer":1},{"info":"≮⫘↔1111101001≀⫉≮⫘↔101011100001=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔10011110110↸≮⫘↔1110010001101=≮⫘↔10011110110","layer":3},{"info":"≮⫘↔101100000110⋣⋖≮⫘↔10011110110=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔1010110110101⋕⪉⪜≮⫘↔1111110111011=≮⫘↔11001100","layer":3},{"info":"⋠∜≮⫘↔1100111010011=≮⫘↔111000000111000","layer":3},{"info":"≮⫘↔11001100⇻⋧≁≮⫘↔111000000111000=≮⫘↔-1110010101","layer":2},{"info":"≮⫘↔101100000110∋≮⫘↔-1110010101=≮⫘↔-10000000101111000","layer":1},{"info":"≮⫘↔1011111001110010010101111↳≱≮⫘↔-10000000101111000=≮⫘↔0","layer":0}]}
{"id":11,"expression_no_base_symbol":"(⨮↦↱($1540$∋$2111$⇴$3447$⊢$2135$))⨪↰⇹(($3964$∊∟⩊$8639$⪒$1560$⫥∨⫟$6632$)∖(($4942$⊘)⪐))","expression":"(⨮↦↱(≮⫘↔11000000100∋≮⫘↔100000111111⇴≮⫘↔110101110111⊢≮⫘↔100001010111))⨪↰⇹((≮⫘↔111101111100∊∟⩊≮⫘↔10000110111111⪒≮⫘↔11000011000⫥∨⫟≮⫘↔1100111101000)∖((≮⫘↔1001101001110⊘)⪐))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26387789,"operation_count":11,"complexity_ratio":2398889.909090909,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1540,"base":2},"right_expr":{"type":"numeric_atoms","value":2111,"base":2}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3447,"base":2},"right_expr":{"type":"numeric_atoms","value":2135,"base":2}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3964,"base":2},"right_expr":{"type":"numeric_atoms","value":8639,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1560,"base":2},"right_expr":{"type":"numeric_atoms","value":6632,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4942,"base":2}}}}},"used_operators":["tmPS8pqC7x","sYcpBQ0cFf","4JB6nKBMSY","ukq6epAj5P","5twsqlHp2o","tXD093vOjl","f6k1SAg4EE","ddLRYrp01A","KYD54nUTWz","eH2TOUuTDT","gu96TGCTMs"],"dependent_operators":["rJVOvQCfKK","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","sdazOOVcIp","NTOWxs364D","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1540","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=2111, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4400400","layer":3},{"info":"number node, value=3447","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=3447, right_input=2135, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7138","layer":3},{"info":"compute binary expreesion, left_input=4400400, right_input=-7138, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=26387738","layer":2},{"info":"compute unary expreesion, input=26387738, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-inf","layer":1},{"info":"number node, value=3964","layer":4},{"info":"number node, value=8639","layer":4},{"info":"compute binary expreesion, left_input=3964, right_input=8639, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=8639","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=6632","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=6632, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8639, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4942","layer":4},{"info":"compute unary expreesion, input=4942, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨮↦↱(≮⫘↔11000000100∋≮⫘↔100000111111⇴≮⫘↔110101110111⊢≮⫘↔100001010111))⨪↰⇹((≮⫘↔111101111100∊∟⩊≮⫘↔10000110111111⪒≮⫘↔11000011000⫥∨⫟≮⫘↔1100111101000)∖((≮⫘↔1001101001110⊘)⪐))=NaN","reverse_text":"NaN=(⨮↦↱(≮⫘↔11000000100∋≮⫘↔100000111111⇴≮⫘↔110101110111⊢≮⫘↔100001010111))⨪↰⇹((≮⫘↔111101111100∊∟⩊≮⫘↔10000110111111⪒≮⫘↔11000011000⫥∨⫟≮⫘↔1100111101000)∖((≮⫘↔1001101001110⊘)⪐))","cot":[{"info":"≮⫘↔11000000100∋≮⫘↔100000111111=≮⫘↔10000110010010100010000","layer":3},{"info":"≮⫘↔110101110111⊢≮⫘↔100001010111=≮⫘↔-1101111100010","layer":3},{"info":"≮⫘↔10000110010010100010000⇴≮⫘↔-1101111100010=≮⫘↔1100100101010010100011010","layer":2},{"info":"⨮↦↱≮⫘↔1100100101010010100011010=-Inf","layer":1},{"info":"≮⫘↔111101111100∊∟⩊≮⫘↔10000110111111=≮⫘↔10000110111111","layer":3},{"info":"≮⫘↔11000011000⫥∨⫟≮⫘↔1100111101000=NaN","layer":3},{"info":"≮⫘↔10000110111111⪒NaN=NaN","layer":2},{"info":"≮⫘↔1001101001110⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪐=≮⫘↔0","layer":2},{"info":"NaN∖≮⫘↔0=≮⫘↔0","layer":1},{"info":"-Inf⨪↰⇹≮⫘↔0=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"((⫯$1811$)⨥⫆($2554$⨽⪊≇)→⨶⪴$2767$⨜⨶$1686$↹⊜$2113$⫣⪄⊒$5071$)↓(⊬↢(⇵⪽($1176$≄⊠$3563$)))","expression":"((⫯≮⫘↔11100010011)⨥⫆(≮⫘↔100111111010⨽⪊≇)→⨶⪴≮⫘↔101011001111⨜⨶≮⫘↔11010010110↹⊜≮⫘↔100001000001⫣⪄⊒≮⫘↔1001111001111)↓(⊬↢(⇵⪽(≮⫘↔10010011000≄⊠≮⫘↔110111101011)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":528,"operation_count":11,"complexity_ratio":48.0,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1811,"base":2}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":2554,"base":2}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2767,"base":2},"right_expr":{"type":"numeric_atoms","value":1686,"base":2}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2113,"base":2},"right_expr":{"type":"numeric_atoms","value":5071,"base":2}}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1176,"base":2},"right_expr":{"type":"numeric_atoms","value":3563,"base":2}}}}},"used_operators":["Af076pWI7l","bF6eod5Gvf","yXekIHxTD4","H6BK1Evt7c","nlCqmYiOvY","9bazX3JMtO","HiPekx5b7W","RabNbG55vr","WPoGxAaPR1","ZGCBLdVRRX","vXNesLlMH1"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","8w2t5hMYqp","9FxExcQeMw","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","U7g4x0WXJJ","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1811","layer":4},{"info":"compute unary expreesion, input=1811, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-61274","layer":3},{"info":"number node, value=2554","layer":4},{"info":"compute unary expreesion, input=2554, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=4582","layer":3},{"info":"compute binary expreesion, left_input=-61274, right_input=4582, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=2767","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=2767, right_input=1686, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3116","layer":3},{"info":"number node, value=2113","layer":4},{"info":"number node, value=5071","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=5071, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-26712","layer":3},{"info":"compute binary expreesion, left_input=-3116, right_input=-26712, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=213600","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=213600, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-640800","layer":1},{"info":"number node, value=1176","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=3563, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=61676","layer":3},{"info":"compute unary expreesion, input=61676, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-640800, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":2,"result_base":2,"text":"((⫯≮⫘↔11100010011)⨥⫆(≮⫘↔100111111010⨽⪊≇)→⨶⪴≮⫘↔101011001111⨜⨶≮⫘↔11010010110↹⊜≮⫘↔100001000001⫣⪄⊒≮⫘↔1001111001111)↓(⊬↢(⇵⪽(≮⫘↔10010011000≄⊠≮⫘↔110111101011)))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=((⫯≮⫘↔11100010011)⨥⫆(≮⫘↔100111111010⨽⪊≇)→⨶⪴≮⫘↔101011001111⨜⨶≮⫘↔11010010110↹⊜≮⫘↔100001000001⫣⪄⊒≮⫘↔1001111001111)↓(⊬↢(⇵⪽(≮⫘↔10010011000≄⊠≮⫘↔110111101011)))","cot":[{"info":"⫯≮⫘↔11100010011=≮⫘↔-1110111101011010","layer":3},{"info":"≮⫘↔100111111010⨽⪊≇=≮⫘↔1000111100110","layer":3},{"info":"≮⫘↔-1110111101011010⨥⫆≮⫘↔1000111100110=≮⫘↔-1","layer":2},{"info":"≮⫘↔101011001111⨜⨶≮⫘↔11010010110=≮⫘↔-110000101100","layer":3},{"info":"≮⫘↔100001000001⫣⪄⊒≮⫘↔1001111001111=≮⫘↔-110100001011000","layer":3},{"info":"≮⫘↔-110000101100↹⊜≮⫘↔-110100001011000=≮⫘↔110100001001100000","layer":2},{"info":"≮⫘↔-1→⨶⪴≮⫘↔110100001001100000=≮⫘↔-10011100011100100000","layer":1},{"info":"≮⫘↔10010011000≄⊠≮⫘↔110111101011=≮⫘↔1111000011101100","layer":3},{"info":"⇵⪽≮⫘↔1111000011101100=NaN","layer":2},{"info":"⊬↢NaN=NaN","layer":1},{"info":"≮⫘↔-10011100011100100000↓NaN=≮⫘↔-10000110","layer":0}]}
{"id":13,"expression_no_base_symbol":"≸($1939$∇⊂⋱$1713$⫦⪉$1351$∼$5184$∙∹∝($3699$⊔$1172$)∘(⫯$3808$))","expression":"≸(≮⫘↔11110010011∇⊂⋱≮⫘↔11010110001⫦⪉≮⫘↔10101000111∼≮⫘↔1010001000000∙∹∝(≮⫘↔111001110011⊔≮⫘↔10010010100)∘(⫯≮⫘↔111011100000))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":197,"operation_count":8,"complexity_ratio":24.625,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1939,"base":2},"right_expr":{"type":"numeric_atoms","value":1713,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1351,"base":2},"right_expr":{"type":"numeric_atoms","value":5184,"base":2}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3699,"base":2},"right_expr":{"type":"numeric_atoms","value":1172,"base":2}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3808,"base":2}}}}},"used_operators":["eOf03JbCpp","HmxsFra2vL","wscyQdcy20","nhYeJWJD5X","DyGG3AbaNP","Z5m6OM72h2","E4l6HwMY31","H6BK1Evt7c"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"≮⫘↔101011111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1939","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=1713, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3332","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=5184","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=5184, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3332, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1764","layer":2},{"info":"number node, value=3699","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=1172, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=10858","layer":3},{"info":"number node, value=3808","layer":4},{"info":"compute unary expreesion, input=3808, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-145148","layer":3},{"info":"compute binary expreesion, left_input=10858, right_input=-145148, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-10478","layer":2},{"info":"compute binary expreesion, left_input=-1764, right_input=-10478, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":0}],"base":2,"result_base":2,"text":"≸(≮⫘↔11110010011∇⊂⋱≮⫘↔11010110001⫦⪉≮⫘↔10101000111∼≮⫘↔1010001000000∙∹∝(≮⫘↔111001110011⊔≮⫘↔10010010100)∘(⫯≮⫘↔111011100000))=≮⫘↔101011111","reverse_text":"≮⫘↔101011111=≸(≮⫘↔11110010011∇⊂⋱≮⫘↔11010110001⫦⪉≮⫘↔10101000111∼≮⫘↔1010001000000∙∹∝(≮⫘↔111001110011⊔≮⫘↔10010010100)∘(⫯≮⫘↔111011100000))","cot":[{"info":"≮⫘↔11110010011∇⊂⋱≮⫘↔11010110001=≮⫘↔110100000100","layer":3},{"info":"≮⫘↔10101000111∼≮⫘↔1010001000000=NaN","layer":3},{"info":"≮⫘↔110100000100⫦⪉NaN=≮⫘↔-11011100100","layer":2},{"info":"≮⫘↔111001110011⊔≮⫘↔10010010100=≮⫘↔10101001101010","layer":3},{"info":"⫯≮⫘↔111011100000=≮⫘↔-100011011011111100","layer":3},{"info":"≮⫘↔10101001101010∘≮⫘↔-100011011011111100=≮⫘↔-10100011101110","layer":2},{"info":"≮⫘↔-11011100100∙∹∝≮⫘↔-10100011101110=≮⫘↔0","layer":1},{"info":"≸≮⫘↔0=≮⫘↔101011111","layer":0}]}
{"id":14,"expression_no_base_symbol":"(⪓⩚($4945$⩧⪆$2008$))≝⊿($7129$⪨⊡$4798$≬⇓$5290$⊔$5962$)%(⊽($3452$≒∊$4490$⪭≯($5975$∀⋜↑)))","expression":"(⪓⩚(≮⫘↔1001101010001⩧⪆≮⫘↔11111011000))≝⊿(≮⫘↔1101111011001⪨⊡≮⫘↔1001010111110≬⇓≮⫘↔1010010101010⊔≮⫘↔1011101001010)%(⊽(≮⫘↔110101111100≒∊≮⫘↔1000110001010⪭≯(≮⫘↔1011101010111∀⋜↑)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9712,"operation_count":11,"complexity_ratio":882.9090909090909,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4945,"base":2},"right_expr":{"type":"numeric_atoms","value":2008,"base":2}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":7129,"base":2},"right_expr":{"type":"numeric_atoms","value":4798,"base":2}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5290,"base":2},"right_expr":{"type":"numeric_atoms","value":5962,"base":2}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3452,"base":2},"right_expr":{"type":"numeric_atoms","value":4490,"base":2}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":5975,"base":2}}}}},"used_operators":["k8jYdgA6NY","OKKcZfAt5B","u0R0Locfp2","Ikt5ks8PT7","jWTQ2TZYIH","kuIXHzHcAH","E4l6HwMY31","QxG7OkqoLX","XAx5wpdLa6","5KTvxBwnZo","KipPnG1M2J"],"dependent_operators":["rysDP5nf3Z","12rbrZMWeM","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eewbuw0ToL","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4945","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=4945, right_input=2008, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2008","layer":3},{"info":"compute unary expreesion, input=-2008, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=7129","layer":4},{"info":"number node, value=4798","layer":4},{"info":"compute binary expreesion, left_input=7129, right_input=4798, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5290","layer":4},{"info":"number node, value=5962","layer":4},{"info":"compute binary expreesion, left_input=5290, right_input=5962, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=37990","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=37990, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-959","layer":1},{"info":"number node, value=3452","layer":4},{"info":"number node, value=4490","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=4490, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2968","layer":3},{"info":"number node, value=5975","layer":4},{"info":"compute unary expreesion, input=5975, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-2968, right_input=-484, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-959, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪓⩚(≮⫘↔1001101010001⩧⪆≮⫘↔11111011000))≝⊿(≮⫘↔1101111011001⪨⊡≮⫘↔1001010111110≬⇓≮⫘↔1010010101010⊔≮⫘↔1011101001010)%(⊽(≮⫘↔110101111100≒∊≮⫘↔1000110001010⪭≯(≮⫘↔1011101010111∀⋜↑)))=NaN","reverse_text":"NaN=(⪓⩚(≮⫘↔1001101010001⩧⪆≮⫘↔11111011000))≝⊿(≮⫘↔1101111011001⪨⊡≮⫘↔1001010111110≬⇓≮⫘↔1010010101010⊔≮⫘↔1011101001010)%(⊽(≮⫘↔110101111100≒∊≮⫘↔1000110001010⪭≯(≮⫘↔1011101010111∀⋜↑)))","cot":[{"info":"≮⫘↔1001101010001⩧⪆≮⫘↔11111011000=≮⫘↔-11111011000","layer":3},{"info":"⪓⩚≮⫘↔-11111011000=≮⫘↔110101010","layer":2},{"info":"≮⫘↔1101111011001⪨⊡≮⫘↔1001010111110=≮⫘↔0","layer":3},{"info":"≮⫘↔1010010101010⊔≮⫘↔1011101001010=≮⫘↔1001010001100110","layer":3},{"info":"≮⫘↔0≬⇓≮⫘↔1001010001100110=≮⫘↔0","layer":2},{"info":"≮⫘↔110101010≝⊿≮⫘↔0=≮⫘↔-1110111111","layer":1},{"info":"≮⫘↔110101111100≒∊≮⫘↔1000110001010=≮⫘↔-101110011000","layer":3},{"info":"≮⫘↔1011101010111∀⋜↑=≮⫘↔-111100100","layer":3},{"info":"≮⫘↔-101110011000⪭≯≮⫘↔-111100100=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"≮⫘↔-1110111111%NaN=NaN","layer":0}]}
{"id":15,"expression_no_base_symbol":"($1446$⪍↜⋙$7104$⨳⩥⨓($1205$⊭↱$1252$)⊭↱(($1237$⩚⊴⇥$4451$)⩠))⩘((($1710$⊍)⫥∨⫟$1566$⊝⪿⪼$2374$)⪔($2699$⩇∃⫛$3241$≥⨤⩑$1014$⋥⋵⩄$1671$))","expression":"(≮⫘↔10110100110⪍↜⋙≮⫘↔1101111000000⨳⩥⨓(≮⫘↔10010110101⊭↱≮⫘↔10011100100)⊭↱((≮⫘↔10011010101⩚⊴⇥≮⫘↔1000101100011)⩠))⩘(((≮⫘↔11010101110⊍)⫥∨⫟≮⫘↔11000011110⊝⪿⪼≮⫘↔100101000110)⪔(≮⫘↔101010001011⩇∃⫛≮⫘↔110010101001≥⨤⩑≮⫘↔1111110110⋥⋵⩄≮⫘↔11010000111))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1685,"operation_count":14,"complexity_ratio":120.35714285714286,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1446,"base":2},"right_expr":{"type":"numeric_atoms","value":7104,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1205,"base":2},"right_expr":{"type":"numeric_atoms","value":1252,"base":2}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1237,"base":2},"right_expr":{"type":"numeric_atoms","value":4451,"base":2}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1710,"base":2}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1566,"base":2},"right_expr":{"type":"numeric_atoms","value":2374,"base":2}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2699,"base":2},"right_expr":{"type":"numeric_atoms","value":3241,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1014,"base":2},"right_expr":{"type":"numeric_atoms","value":1671,"base":2}}}}},"used_operators":["cHh1gJQ2o6","COABgblf1C","nCS4ZIUYfx","L05ObWFQCd","sJAwomhLZr","NTOWxs364D","GjBEYRfMaF","KYD54nUTWz","3nqY3DE9mg","3Oe9XWJUTD","gJLn6v0xnP","1aApVXNlOP","7t3wd0Fuz7"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1446","layer":4},{"info":"number node, value=7104","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=7104, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-22221","layer":3},{"info":"number node, value=1205","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1252, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=99","layer":3},{"info":"compute binary expreesion, left_input=-22221, right_input=99, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=22320","layer":2},{"info":"number node, value=1237","layer":4},{"info":"number node, value=4451","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=4451, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5809","layer":3},{"info":"compute unary expreesion, input=-5809, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=23445","layer":2},{"info":"compute binary expreesion, left_input=22320, right_input=23445, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2255","layer":1},{"info":"number node, value=1710","layer":4},{"info":"compute unary expreesion, input=1710, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=3450","layer":3},{"info":"number node, value=1566","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=2374, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=33422","layer":3},{"info":"compute binary expreesion, left_input=3450, right_input=33422, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2699","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=2699, right_input=3241, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=1015","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=1671, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=1015, right_input=113, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2255, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10110100110⪍↜⋙≮⫘↔1101111000000⨳⩥⨓(≮⫘↔10010110101⊭↱≮⫘↔10011100100)⊭↱((≮⫘↔10011010101⩚⊴⇥≮⫘↔1000101100011)⩠))⩘(((≮⫘↔11010101110⊍)⫥∨⫟≮⫘↔11000011110⊝⪿⪼≮⫘↔100101000110)⪔(≮⫘↔101010001011⩇∃⫛≮⫘↔110010101001≥⨤⩑≮⫘↔1111110110⋥⋵⩄≮⫘↔11010000111))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔10110100110⪍↜⋙≮⫘↔1101111000000⨳⩥⨓(≮⫘↔10010110101⊭↱≮⫘↔10011100100)⊭↱((≮⫘↔10011010101⩚⊴⇥≮⫘↔1000101100011)⩠))⩘(((≮⫘↔11010101110⊍)⫥∨⫟≮⫘↔11000011110⊝⪿⪼≮⫘↔100101000110)⪔(≮⫘↔101010001011⩇∃⫛≮⫘↔110010101001≥⨤⩑≮⫘↔1111110110⋥⋵⩄≮⫘↔11010000111))","cot":[{"info":"≮⫘↔10110100110⪍↜⋙≮⫘↔1101111000000=≮⫘↔-101011011001101","layer":3},{"info":"≮⫘↔10010110101⊭↱≮⫘↔10011100100=≮⫘↔1100011","layer":3},{"info":"≮⫘↔-101011011001101⨳⩥⨓≮⫘↔1100011=≮⫘↔101011100110000","layer":2},{"info":"≮⫘↔10011010101⩚⊴⇥≮⫘↔1000101100011=≮⫘↔-1011010110001","layer":3},{"info":"≮⫘↔-1011010110001⩠=≮⫘↔101101110010101","layer":2},{"info":"≮⫘↔101011100110000⊭↱≮⫘↔101101110010101=≮⫘↔100011001111","layer":1},{"info":"≮⫘↔11010101110⊍=≮⫘↔110101111010","layer":3},{"info":"≮⫘↔11000011110⊝⪿⪼≮⫘↔100101000110=≮⫘↔1000001010001110","layer":3},{"info":"≮⫘↔110101111010⫥∨⫟≮⫘↔1000001010001110=NaN","layer":2},{"info":"≮⫘↔101010001011⩇∃⫛≮⫘↔110010101001=≮⫘↔1111110111","layer":3},{"info":"≮⫘↔1111110110⋥⋵⩄≮⫘↔11010000111=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1111110111≥⨤⩑≮⫘↔1110001=≮⫘↔10011010010","layer":2},{"info":"NaN⪔≮⫘↔10011010010=NaN","layer":1},{"info":"≮⫘↔100011001111⩘NaN=≮⫘↔10100000","layer":0}]}
{"id":16,"expression_no_base_symbol":"(⇤←($2126$⪶≀⋏$2271$⪥⨬⪅))⪭≯(($4402$⫸⇳$2289$∙∹∝$2957$⫯⪬∳$1958$)≬⇓$1675$⪔⊥$3906$⊲⩕⊾($2217$⪓⨏))","expression":"(⇤←(≮⫘↔100001001110⪶≀⋏≮⫘↔100011011111⪥⨬⪅))⪭≯((≮⫘↔1000100110010⫸⇳≮⫘↔100011110001∙∹∝≮⫘↔101110001101⫯⪬∳≮⫘↔11110100110)≬⇓≮⫘↔11010001011⪔⊥≮⫘↔111101000010⊲⩕⊾(≮⫘↔100010101001⪓⨏))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4665,"operation_count":11,"complexity_ratio":424.09090909090907,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2126,"base":2},"right_expr":{"type":"numeric_atoms","value":2271,"base":2}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4402,"base":2},"right_expr":{"type":"numeric_atoms","value":2289,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2957,"base":2},"right_expr":{"type":"numeric_atoms","value":1958,"base":2}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1675,"base":2},"right_expr":{"type":"numeric_atoms","value":3906,"base":2}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":2217,"base":2}}}}},"used_operators":["XAx5wpdLa6","jfAgQ2OQeM","zNRQejTB5A","zR4jO40bMj","jWTQ2TZYIH","HmxsFra2vL","gx7XJ7hdpj","d7ASUq0ydm","DmTXOeWf9t","HJ9erzHUuu","4X9JU4Jbn6"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2126","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=2271, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11152","layer":3},{"info":"compute unary expreesion, input=-11152, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=221","layer":1},{"info":"number node, value=4402","layer":4},{"info":"number node, value=2289","layer":4},{"info":"compute binary expreesion, left_input=4402, right_input=2289, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2957","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=1958, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=12860","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12860, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1675","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=3906, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1311","layer":3},{"info":"number node, value=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1311, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=221, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇤←(≮⫘↔100001001110⪶≀⋏≮⫘↔100011011111⪥⨬⪅))⪭≯((≮⫘↔1000100110010⫸⇳≮⫘↔100011110001∙∹∝≮⫘↔101110001101⫯⪬∳≮⫘↔11110100110)≬⇓≮⫘↔11010001011⪔⊥≮⫘↔111101000010⊲⩕⊾(≮⫘↔100010101001⪓⨏))=NaN","reverse_text":"NaN=(⇤←(≮⫘↔100001001110⪶≀⋏≮⫘↔100011011111⪥⨬⪅))⪭≯((≮⫘↔1000100110010⫸⇳≮⫘↔100011110001∙∹∝≮⫘↔101110001101⫯⪬∳≮⫘↔11110100110)≬⇓≮⫘↔11010001011⪔⊥≮⫘↔111101000010⊲⩕⊾(≮⫘↔100010101001⪓⨏))","cot":[{"info":"≮⫘↔100001001110⪶≀⋏≮⫘↔100011011111=≮⫘↔-10101110010000","layer":3},{"info":"≮⫘↔-10101110010000⪥⨬⪅=≮⫘↔-111011001","layer":2},{"info":"⇤←≮⫘↔-111011001=≮⫘↔11011101","layer":1},{"info":"≮⫘↔1000100110010⫸⇳≮⫘↔100011110001=≮⫘↔0","layer":3},{"info":"≮⫘↔101110001101⫯⪬∳≮⫘↔11110100110=≮⫘↔11001000111100","layer":3},{"info":"≮⫘↔0∙∹∝≮⫘↔11001000111100=≮⫘↔0","layer":2},{"info":"≮⫘↔11010001011⪔⊥≮⫘↔111101000010=≮⫘↔-10100011111","layer":3},{"info":"≮⫘↔100010101001⪓⨏=NaN","layer":3},{"info":"≮⫘↔-10100011111⊲⩕⊾NaN=NaN","layer":2},{"info":"≮⫘↔0≬⇓NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔11011101⪭≯≮⫘↔0=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"($6243$⪕$5995$↙$4231$⨫⇇↔$1414$⫔⩽⩺($1394$≬⋮$1079$)⪨⊡$3845$→⨶⪴$7731$)⪒⊣⊆(∷≠(($2382$⫥∨⫟$2332$)⩍⋽⫝̸($4400$⪷)))","expression":"(≮⫘↔1100001100011⪕≮⫘↔1011101101011↙≮⫘↔1000010000111⨫⇇↔≮⫘↔10110000110⫔⩽⩺(≮⫘↔10101110010≬⋮≮⫘↔10000110111)⪨⊡≮⫘↔111100000101→⨶⪴≮⫘↔1111000110011)⪒⊣⊆(∷≠((≮⫘↔100101001110⫥∨⫟≮⫘↔100100011100)⩍⋽⫝̸(≮⫘↔1000100110000⪷)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5185,"operation_count":12,"complexity_ratio":432.0833333333333,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6243,"base":2},"right_expr":{"type":"numeric_atoms","value":5995,"base":2}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4231,"base":2},"right_expr":{"type":"numeric_atoms","value":1414,"base":2}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1394,"base":2},"right_expr":{"type":"numeric_atoms","value":1079,"base":2}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3845,"base":2},"right_expr":{"type":"numeric_atoms","value":7731,"base":2}}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2382,"base":2},"right_expr":{"type":"numeric_atoms","value":2332,"base":2}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":4400,"base":2}}}}},"used_operators":["eRqsBgTDFp","i9eR4S00cU","yyfyN0ffXY","umQnsF7QlU","LXhwmt4mBO","kuIXHzHcAH","kbkesczE7y","bF6eod5Gvf","QiR2Oyf5Xj","BiWNJpBvwn","KYD54nUTWz","Qctrpi3WzA"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","Tw270M8GLb","fu6greOZ01","tmPS8pqC7x","DpFCA1CohY","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw","7j4O788W3g","Ph9nP6C5qx","xUOZtlo3hN","8HhzD0ZcuI","rGHVDoGpnC","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6243","layer":4},{"info":"number node, value=5995","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=5995, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=7392","layer":3},{"info":"number node, value=4231","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=4231, right_input=1414, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=7392, right_input=-527, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1581","layer":2},{"info":"number node, value=1394","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1079, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=3845","layer":4},{"info":"number node, value=7731","layer":4},{"info":"compute binary expreesion, left_input=3845, right_input=7731, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-23193","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-23193, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=93561","layer":2},{"info":"compute binary expreesion, left_input=-1581, right_input=93561, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=2382","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=2332, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4400","layer":4},{"info":"compute unary expreesion, input=4400, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100001100011⪕≮⫘↔1011101101011↙≮⫘↔1000010000111⨫⇇↔≮⫘↔10110000110⫔⩽⩺(≮⫘↔10101110010≬⋮≮⫘↔10000110111)⪨⊡≮⫘↔111100000101→⨶⪴≮⫘↔1111000110011)⪒⊣⊆(∷≠((≮⫘↔100101001110⫥∨⫟≮⫘↔100100011100)⩍⋽⫝̸(≮⫘↔1000100110000⪷)))=NaN","reverse_text":"NaN=(≮⫘↔1100001100011⪕≮⫘↔1011101101011↙≮⫘↔1000010000111⨫⇇↔≮⫘↔10110000110⫔⩽⩺(≮⫘↔10101110010≬⋮≮⫘↔10000110111)⪨⊡≮⫘↔111100000101→⨶⪴≮⫘↔1111000110011)⪒⊣⊆(∷≠((≮⫘↔100101001110⫥∨⫟≮⫘↔100100011100)⩍⋽⫝̸(≮⫘↔1000100110000⪷)))","cot":[{"info":"≮⫘↔1100001100011⪕≮⫘↔1011101101011=≮⫘↔1110011100000","layer":3},{"info":"≮⫘↔1000010000111⨫⇇↔≮⫘↔10110000110=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔1110011100000↙≮⫘↔-1000001111=≮⫘↔-11000101101","layer":2},{"info":"≮⫘↔10101110010≬⋮≮⫘↔10000110111=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔111100000101→⨶⪴≮⫘↔1111000110011=≮⫘↔-101101010011001","layer":3},{"info":"≮⫘↔1101100100⪨⊡≮⫘↔-101101010011001=≮⫘↔10110110101111001","layer":2},{"info":"≮⫘↔-11000101101⫔⩽⩺≮⫘↔10110110101111001=NaN","layer":1},{"info":"≮⫘↔100101001110⫥∨⫟≮⫘↔100100011100=NaN","layer":3},{"info":"≮⫘↔1000100110000⪷=NaN","layer":3},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":2},{"info":"∷≠NaN=NaN","layer":1},{"info":"NaN⪒⊣⊆NaN=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"((⇁⨣⪵($2815$∲⫓$1520$))∝(⇾⩊⇾$2290$)⨻⩈⩔($8714$⨸⪁$1210$))⊉↱≁(($1053$≦≮≮)⪇≇⋚($3187$⪛⫼$1946$)⪛⫼($4392$⫭)⫸⇳(⩏⊷≩$1631$))","expression":"((⇁⨣⪵(≮⫘↔101011111111∲⫓≮⫘↔10111110000))∝(⇾⩊⇾≮⫘↔100011110010)⨻⩈⩔(≮⫘↔10001000001010⨸⪁≮⫘↔10010111010))⊉↱≁((≮⫘↔10000011101≦≮≮)⪇≇⋚(≮⫘↔110001110011⪛⫼≮⫘↔11110011010)⪛⫼(≮⫘↔1000100101000⫭)⫸⇳(⩏⊷≩≮⫘↔11001011111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":415,"operation_count":14,"complexity_ratio":29.642857142857142,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2815,"base":2},"right_expr":{"type":"numeric_atoms","value":1520,"base":2}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2290,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8714,"base":2},"right_expr":{"type":"numeric_atoms","value":1210,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1053,"base":2}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3187,"base":2},"right_expr":{"type":"numeric_atoms","value":1946,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":4392,"base":2}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1631,"base":2}}}}},"used_operators":["w2P8NbNXyL","cTDWOvIxvz","inkyxCbjAn","i8ToyICDmI","nEsXyWgiOK","bx9Z9DAK5y","g55IO6H4Gj","hyuBjUqXlG","3sJ7IOPOlU","D4vGDi5EA2","gx7XJ7hdpj","t4WUHVGj7f","uOZ1tnYMDE"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","23Mk6UjR3U","12rbrZMWeM"],"result":"≮⫘↔-1101011011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2815","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=1520, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=2290","layer":4},{"info":"compute unary expreesion, input=2290, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-27096","layer":3},{"info":"number node, value=8714","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=8714, right_input=1210, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19848","layer":3},{"info":"compute binary expreesion, left_input=-27096, right_input=19848, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-174, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5","layer":1},{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3159","layer":3},{"info":"number node, value=3187","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=1946, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-3159, right_input=968, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=4392","layer":4},{"info":"compute unary expreesion, input=4392, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=13417","layer":3},{"info":"number node, value=1631","layer":4},{"info":"compute unary expreesion, input=1631, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2961","layer":3},{"info":"compute binary expreesion, left_input=13417, right_input=2961, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=968, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-6872","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵(≮⫘↔101011111111∲⫓≮⫘↔10111110000))∝(⇾⩊⇾≮⫘↔100011110010)⨻⩈⩔(≮⫘↔10001000001010⨸⪁≮⫘↔10010111010))⊉↱≁((≮⫘↔10000011101≦≮≮)⪇≇⋚(≮⫘↔110001110011⪛⫼≮⫘↔11110011010)⪛⫼(≮⫘↔1000100101000⫭)⫸⇳(⩏⊷≩≮⫘↔11001011111))=≮⫘↔-1101011011000","reverse_text":"≮⫘↔-1101011011000=((⇁⨣⪵(≮⫘↔101011111111∲⫓≮⫘↔10111110000))∝(⇾⩊⇾≮⫘↔100011110010)⨻⩈⩔(≮⫘↔10001000001010⨸⪁≮⫘↔10010111010))⊉↱≁((≮⫘↔10000011101≦≮≮)⪇≇⋚(≮⫘↔110001110011⪛⫼≮⫘↔11110011010)⪛⫼(≮⫘↔1000100101000⫭)⫸⇳(⩏⊷≩≮⫘↔11001011111))","cot":[{"info":"≮⫘↔101011111111∲⫓≮⫘↔10111110000=≮⫘↔0","layer":3},{"info":"⇁⨣⪵≮⫘↔0=≮⫘↔0","layer":2},{"info":"⇾⩊⇾≮⫘↔100011110010=≮⫘↔-110100111011000","layer":3},{"info":"≮⫘↔10001000001010⨸⪁≮⫘↔10010111010=≮⫘↔100110110001000","layer":3},{"info":"≮⫘↔-110100111011000⨻⩈⩔≮⫘↔100110110001000=≮⫘↔-10101110","layer":2},{"info":"≮⫘↔0∝≮⫘↔-10101110=≮⫘↔101","layer":1},{"info":"≮⫘↔10000011101≦≮≮=≮⫘↔-110001010111","layer":3},{"info":"≮⫘↔110001110011⪛⫼≮⫘↔11110011010=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔-110001010111⪇≇⋚≮⫘↔1111001000=≮⫘↔0","layer":2},{"info":"≮⫘↔1000100101000⫭=≮⫘↔11010001101001","layer":3},{"info":"⩏⊷≩≮⫘↔11001011111=≮⫘↔101110010001","layer":3},{"info":"≮⫘↔11010001101001⫸⇳≮⫘↔101110010001=≮⫘↔0","layer":2},{"info":"≮⫘↔0⪛⫼≮⫘↔0=≮⫘↔1111001000","layer":1},{"info":"≮⫘↔101⊉↱≁≮⫘↔1111001000=≮⫘↔-1101011011000","layer":0}]}
{"id":19,"expression_no_base_symbol":"((⋗⩴⪓(⨈⫕$1468$))⫳≱↱(↓⇌$3089$)≚⊃≕$1124$⫁$4075$)⊹∫⫚($5177$∵≐)⩁⩘($1113$≧⫂∧$3912$)≳⇉((⨡↴$1431$)∕⩚$3140$∙∹∝$4624$)","expression":"((⋗⩴⪓(⨈⫕≮⫘↔10110111100))⫳≱↱(↓⇌≮⫘↔110000010001)≚⊃≕≮⫘↔10001100100⫁≮⫘↔111111101011)⊹∫⫚(≮⫘↔1010000111001∵≐)⩁⩘(≮⫘↔10001011001≧⫂∧≮⫘↔111101001000)≳⇉((⨡↴≮⫘↔10110010111)∕⩚≮⫘↔110001000100∙∹∝≮⫘↔1001000010000)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2306399,"operation_count":14,"complexity_ratio":164742.7857142857,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1468,"base":2}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":3089,"base":2}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1124,"base":2},"right_expr":{"type":"numeric_atoms","value":4075,"base":2}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":5177,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1113,"base":2},"right_expr":{"type":"numeric_atoms","value":3912,"base":2}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1431,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3140,"base":2},"right_expr":{"type":"numeric_atoms","value":4624,"base":2}}}}},"used_operators":["uWAJUKEvyW","ZvLB05nZmT","nOKPl9n5zu","megm06wKyl","Bmrmz2XGnR","PxpmPgHHJV","0ajvFaJAv0","V0kx6qeWkN","gub5Cegaqo","59igzFyhWz","Ph9nP6C5qx","z9ffQ9n5Zr","liw5iZPkLH","HmxsFra2vL"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","cHh1gJQ2o6","AHs5Up7iyr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","P8v4zCKN1o","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=5096","layer":2},{"info":"number node, value=3089","layer":4},{"info":"compute unary expreesion, input=3089, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=3089","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=4075","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=4075, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=3089, right_input=160, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=5096, right_input=67, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-538","layer":1},{"info":"number node, value=5177","layer":4},{"info":"compute unary expreesion, input=5177, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=4231","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=3912","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=3912, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3439","layer":3},{"info":"compute binary expreesion, left_input=4231, right_input=3439, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14704","layer":2},{"info":"number node, value=1431","layer":4},{"info":"compute unary expreesion, input=1431, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2480","layer":3},{"info":"number node, value=3140","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=3140, right_input=4624, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2480, right_input=0, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=14704, right_input=-487, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-538, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋗⩴⪓(⨈⫕≮⫘↔10110111100))⫳≱↱(↓⇌≮⫘↔110000010001)≚⊃≕≮⫘↔10001100100⫁≮⫘↔111111101011)⊹∫⫚(≮⫘↔1010000111001∵≐)⩁⩘(≮⫘↔10001011001≧⫂∧≮⫘↔111101001000)≳⇉((⨡↴≮⫘↔10110010111)∕⩚≮⫘↔110001000100∙∹∝≮⫘↔1001000010000)=NaN","reverse_text":"NaN=((⋗⩴⪓(⨈⫕≮⫘↔10110111100))⫳≱↱(↓⇌≮⫘↔110000010001)≚⊃≕≮⫘↔10001100100⫁≮⫘↔111111101011)⊹∫⫚(≮⫘↔1010000111001∵≐)⩁⩘(≮⫘↔10001011001≧⫂∧≮⫘↔111101001000)≳⇉((⨡↴≮⫘↔10110010111)∕⩚≮⫘↔110001000100∙∹∝≮⫘↔1001000010000)","cot":[{"info":"⨈⫕≮⫘↔10110111100=≮⫘↔-10101","layer":3},{"info":"⋗⩴⪓≮⫘↔-10101=≮⫘↔1001111101000","layer":2},{"info":"↓⇌≮⫘↔110000010001=≮⫘↔110000010001","layer":3},{"info":"≮⫘↔10001100100⫁≮⫘↔111111101011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔110000010001≚⊃≕≮⫘↔10100000=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1001111101000⫳≱↱≮⫘↔1000011=≮⫘↔-1000011010","layer":1},{"info":"≮⫘↔1010000111001∵≐=≮⫘↔1000010000111","layer":3},{"info":"≮⫘↔10001011001≧⫂∧≮⫘↔111101001000=≮⫘↔110101101111","layer":3},{"info":"≮⫘↔1000010000111⩁⩘≮⫘↔110101101111=≮⫘↔11100101110000","layer":2},{"info":"⨡↴≮⫘↔10110010111=≮⫘↔100110110000","layer":3},{"info":"≮⫘↔110001000100∙∹∝≮⫘↔1001000010000=≮⫘↔0","layer":3},{"info":"≮⫘↔100110110000∕⩚≮⫘↔0=≮⫘↔-111100111","layer":2},{"info":"≮⫘↔11100101110000≳⇉≮⫘↔-111100111=NaN","layer":1},{"info":"≮⫘↔-1000011010⊹∫⫚NaN=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"((($1203$⫃⨇$1046$)∸)⫑%∭)⨔⇊(⩒∊($4155$⩷∴$5929$)⨔⇊($5779$⪇≇⋚$1394$))","expression":"(((≮⫘↔10010110011⫃⨇≮⫘↔10000010110)∸)⫑%∭)⨔⇊(⩒∊(≮⫘↔1000000111011⩷∴≮⫘↔1011100101001)⨔⇊(≮⫘↔1011010010011⪇≇⋚≮⫘↔10101110010))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":847,"operation_count":8,"complexity_ratio":105.875,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1203,"base":2},"right_expr":{"type":"numeric_atoms","value":1046,"base":2}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4155,"base":2},"right_expr":{"type":"numeric_atoms","value":5929,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5779,"base":2},"right_expr":{"type":"numeric_atoms","value":1394,"base":2}}}}},"used_operators":["JclMnS0uGI","xUx7qlDO4z","o20kRiQErp","09Ly4LVMIf","qazvmhNBbN","9FxExcQeMw","3sJ7IOPOlU"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","tmPS8pqC7x","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=1046, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4216","layer":3},{"info":"compute unary expreesion, input=-4216, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"number node, value=4155","layer":4},{"info":"number node, value=5929","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=5929, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3580","layer":3},{"info":"number node, value=5779","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=5779, right_input=1394, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3580, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1273","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1273, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10010110011⫃⨇≮⫘↔10000010110)∸)⫑%∭)⨔⇊(⩒∊(≮⫘↔1000000111011⩷∴≮⫘↔1011100101001)⨔⇊(≮⫘↔1011010010011⪇≇⋚≮⫘↔10101110010))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(((≮⫘↔10010110011⫃⨇≮⫘↔10000010110)∸)⫑%∭)⨔⇊(⩒∊(≮⫘↔1000000111011⩷∴≮⫘↔1011100101001)⨔⇊(≮⫘↔1011010010011⪇≇⋚≮⫘↔10101110010))","cot":[{"info":"≮⫘↔10010110011⫃⨇≮⫘↔10000010110=≮⫘↔-1000001111000","layer":3},{"info":"≮⫘↔-1000001111000∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔10110001⫑%∭=NaN","layer":1},{"info":"≮⫘↔1000000111011⩷∴≮⫘↔1011100101001=≮⫘↔-110111111100","layer":3},{"info":"≮⫘↔1011010010011⪇≇⋚≮⫘↔10101110010=≮⫘↔0","layer":3},{"info":"≮⫘↔-110111111100⨔⇊≮⫘↔0=≮⫘↔0","layer":2},{"info":"⩒∊≮⫘↔0=≮⫘↔-10011111001","layer":1},{"info":"NaN⨔⇊≮⫘↔-10011111001=≮⫘↔1000011","layer":0}]}
{"id":21,"expression_no_base_symbol":"((↨⩢⫨($1379$∖$4689$))⫰⋱(⋣$1556$)∘(→⩰$1256$))≳⇉($1328$∛$2138$∕⩚$8650$⩒⫫$1097$)⫗⊷⫓((⨑⩽⪐$3190$)⪚($3827$≳⇉$1212$))","expression":"((↨⩢⫨(≮⫘↔10101100011∖≮⫘↔1001001010001))⫰⋱(⋣≮⫘↔11000010100)∘(→⩰≮⫘↔10011101000))≳⇉(≮⫘↔10100110000∛≮⫘↔100001011010∕⩚≮⫘↔10000111001010⩒⫫≮⫘↔10001001001)⫗⊷⫓((⨑⩽⪐≮⫘↔110001110110)⪚(≮⫘↔111011110011≳⇉≮⫘↔10010111100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24988338,"operation_count":14,"complexity_ratio":1784881.2857142857,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1379,"base":2},"right_expr":{"type":"numeric_atoms","value":4689,"base":2}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1556,"base":2}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1256,"base":2}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1328,"base":2},"right_expr":{"type":"numeric_atoms","value":2138,"base":2}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":8650,"base":2},"right_expr":{"type":"numeric_atoms","value":1097,"base":2}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3190,"base":2}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3827,"base":2},"right_expr":{"type":"numeric_atoms","value":1212,"base":2}}}}},"used_operators":["V0kx6qeWkN","6o9Blt3TJ6","Z5CJsN7DuW","tXD093vOjl","Z5m6OM72h2","zQWRhDnn8F","o8Pngz0Tml","zashukvMKz","z9ffQ9n5Zr","w2537kitQq","KFSx94NKJn","HrjLwUk87U","AF7qkfDlqP"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eH2TOUuTDT","rysDP5nf3Z","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1379","layer":4},{"info":"number node, value=4689","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=4689, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=1556","layer":4},{"info":"compute unary expreesion, input=1556, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-457369","layer":3},{"info":"number node, value=1256","layer":4},{"info":"compute unary expreesion, input=1256, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-457369, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-914738","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-914738, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=914805","layer":1},{"info":"number node, value=1328","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=2138, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=8650","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=8650, right_input=1097, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=8348","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=8348, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=667","layer":2},{"info":"number node, value=3190","layer":4},{"info":"compute unary expreesion, input=3190, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2917","layer":3},{"info":"number node, value=3827","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3827, right_input=1212, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=4958","layer":2},{"info":"compute binary expreesion, left_input=667, right_input=4958, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=914805, right_input=-134, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↨⩢⫨(≮⫘↔10101100011∖≮⫘↔1001001010001))⫰⋱(⋣≮⫘↔11000010100)∘(→⩰≮⫘↔10011101000))≳⇉(≮⫘↔10100110000∛≮⫘↔100001011010∕⩚≮⫘↔10000111001010⩒⫫≮⫘↔10001001001)⫗⊷⫓((⨑⩽⪐≮⫘↔110001110110)⪚(≮⫘↔111011110011≳⇉≮⫘↔10010111100))=NaN","reverse_text":"NaN=((↨⩢⫨(≮⫘↔10101100011∖≮⫘↔1001001010001))⫰⋱(⋣≮⫘↔11000010100)∘(→⩰≮⫘↔10011101000))≳⇉(≮⫘↔10100110000∛≮⫘↔100001011010∕⩚≮⫘↔10000111001010⩒⫫≮⫘↔10001001001)⫗⊷⫓((⨑⩽⪐≮⫘↔110001110110)⪚(≮⫘↔111011110011≳⇉≮⫘↔10010111100))","cot":[{"info":"≮⫘↔10101100011∖≮⫘↔1001001010001=≮⫘↔0","layer":3},{"info":"↨⩢⫨≮⫘↔0=≮⫘↔0","layer":2},{"info":"⋣≮⫘↔11000010100=≮⫘↔-1101111101010011001","layer":3},{"info":"→⩰≮⫘↔10011101000=NaN","layer":3},{"info":"≮⫘↔-1101111101010011001∘NaN=≮⫘↔-11011111010100110010","layer":2},{"info":"≮⫘↔0⫰⋱≮⫘↔-11011111010100110010=≮⫘↔11011111010101110101","layer":1},{"info":"≮⫘↔10100110000∛≮⫘↔100001011010=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔10000111001010⩒⫫≮⫘↔10001001001=≮⫘↔10000010011100","layer":3},{"info":"≮⫘↔-1010011110∕⩚≮⫘↔10000010011100=≮⫘↔1010011011","layer":2},{"info":"⨑⩽⪐≮⫘↔110001110110=≮⫘↔-101101100101","layer":3},{"info":"≮⫘↔111011110011≳⇉≮⫘↔10010111100=NaN","layer":3},{"info":"≮⫘↔-101101100101⪚NaN=≮⫘↔1001101011110","layer":2},{"info":"≮⫘↔1010011011⫗⊷⫓≮⫘↔1001101011110=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔11011111010101110101≳⇉≮⫘↔-10000110=NaN","layer":0}]}
{"id":22,"expression_no_base_symbol":"⊑($3335$∷$6107$↸$1677$⊉↱≁$1345$)∛(⇾⩊⇾($1287$↬⩅∪))","expression":"⊑(≮⫘↔110100000111∷≮⫘↔1011111011011↸≮⫘↔11010001101⊉↱≁≮⫘↔10101000001)∛(⇾⩊⇾(≮⫘↔10100000111↬⩅∪))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6661,"operation_count":7,"complexity_ratio":951.5714285714286,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3335,"base":2},"right_expr":{"type":"numeric_atoms","value":6107,"base":2}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1677,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1287,"base":2}}}}},"used_operators":["IkUmn0D7oy","w2537kitQq","1eCjFl0mb9","D3AQDKkPcf","w2P8NbNXyL","bx9Z9DAK5y","VJ330n2nnx"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"≮⫘↔11000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3335","layer":4},{"info":"number node, value=6107","layer":4},{"info":"compute binary expreesion, left_input=3335, right_input=6107, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6107","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=1345, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=8648","layer":3},{"info":"compute binary expreesion, left_input=6107, right_input=8648, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6107","layer":2},{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3861","layer":3},{"info":"compute unary expreesion, input=-3861, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=28263","layer":2},{"info":"compute binary expreesion, left_input=6107, right_input=28263, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute unary expreesion, input=-670, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":2,"result_base":2,"text":"⊑(≮⫘↔110100000111∷≮⫘↔1011111011011↸≮⫘↔11010001101⊉↱≁≮⫘↔10101000001)∛(⇾⩊⇾(≮⫘↔10100000111↬⩅∪))=≮⫘↔11000000","reverse_text":"≮⫘↔11000000=⊑(≮⫘↔110100000111∷≮⫘↔1011111011011↸≮⫘↔11010001101⊉↱≁≮⫘↔10101000001)∛(⇾⩊⇾(≮⫘↔10100000111↬⩅∪))","cot":[{"info":"≮⫘↔110100000111∷≮⫘↔1011111011011=≮⫘↔1011111011011","layer":3},{"info":"≮⫘↔11010001101⊉↱≁≮⫘↔10101000001=≮⫘↔10000111001000","layer":3},{"info":"≮⫘↔1011111011011↸≮⫘↔10000111001000=≮⫘↔1011111011011","layer":2},{"info":"≮⫘↔10100000111↬⩅∪=≮⫘↔-111100010101","layer":3},{"info":"⇾⩊⇾≮⫘↔-111100010101=≮⫘↔110111001100111","layer":2},{"info":"≮⫘↔1011111011011∛≮⫘↔110111001100111=≮⫘↔-1010011110","layer":1},{"info":"⊑≮⫘↔-1010011110=≮⫘↔11000000","layer":0}]}
{"id":23,"expression_no_base_symbol":"(⇙⪊(($4190$⊠≄⫣)⋭≵(≸$7686$)))⊱⇼⊻(($1210$≨$3263$⊋≦⊧(⩷$1711$))≚⊃≕($2044$⊢$3905$∕⩚$1386$⫸⇳$1388$))","expression":"(⇙⪊((≮⫘↔1000001011110⊠≄⫣)⋭≵(≸≮⫘↔1111000000110)))⊱⇼⊻((≮⫘↔10010111010≨≮⫘↔110010111111⊋≦⊧(⩷≮⫘↔11010101111))≚⊃≕(≮⫘↔11111111100⊢≮⫘↔111101000001∕⩚≮⫘↔10101101010⫸⇳≮⫘↔10101101100))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":297,"operation_count":12,"complexity_ratio":24.75,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4190,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":7686,"base":2}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1210,"base":2},"right_expr":{"type":"numeric_atoms","value":3263,"base":2}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1711,"base":2}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2044,"base":2},"right_expr":{"type":"numeric_atoms","value":3905,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1386,"base":2},"right_expr":{"type":"numeric_atoms","value":1388,"base":2}}}}},"used_operators":["FyVja0WsTP","pB6Fcnrjim","jBncVCNhdl","DIvbN7qnHd","eOf03JbCpp","Bmrmz2XGnR","oRDoc9rAEX","0KMCeP1Jsh","1h0rLqGiFr","z9ffQ9n5Zr","5twsqlHp2o","gx7XJ7hdpj"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"≮⫘↔101011110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4190","layer":4},{"info":"compute unary expreesion, input=4190, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=7686","layer":4},{"info":"compute unary expreesion, input=7686, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=58, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=34","layer":2},{"info":"compute unary expreesion, input=34, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=1210","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=3263, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-9624","layer":3},{"info":"number node, value=1711","layer":4},{"info":"compute unary expreesion, input=1711, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-20611","layer":3},{"info":"compute binary expreesion, left_input=-9624, right_input=-20611, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=2044","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=3905, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4332","layer":3},{"info":"number node, value=1386","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1388, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4332, right_input=0, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-487, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-372","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-372, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=2802","layer":0}],"base":2,"result_base":2,"text":"(⇙⪊((≮⫘↔1000001011110⊠≄⫣)⋭≵(≸≮⫘↔1111000000110)))⊱⇼⊻((≮⫘↔10010111010≨≮⫘↔110010111111⊋≦⊧(⩷≮⫘↔11010101111))≚⊃≕(≮⫘↔11111111100⊢≮⫘↔111101000001∕⩚≮⫘↔10101101010⫸⇳≮⫘↔10101101100))=≮⫘↔101011110010","reverse_text":"≮⫘↔101011110010=(⇙⪊((≮⫘↔1000001011110⊠≄⫣)⋭≵(≸≮⫘↔1111000000110)))⊱⇼⊻((≮⫘↔10010111010≨≮⫘↔110010111111⊋≦⊧(⩷≮⫘↔11010101111))≚⊃≕(≮⫘↔11111111100⊢≮⫘↔111101000001∕⩚≮⫘↔10101101010⫸⇳≮⫘↔10101101100))","cot":[{"info":"≮⫘↔1000001011110⊠≄⫣=≮⫘↔0","layer":3},{"info":"≸≮⫘↔1111000000110=≮⫘↔111010","layer":3},{"info":"≮⫘↔0⋭≵≮⫘↔111010=≮⫘↔100010","layer":2},{"info":"⇙⪊≮⫘↔100010=≮⫘↔0","layer":1},{"info":"≮⫘↔10010111010≨≮⫘↔110010111111=≮⫘↔-10010110011000","layer":3},{"info":"⩷≮⫘↔11010101111=≮⫘↔-101000010000011","layer":3},{"info":"≮⫘↔-10010110011000⊋≦⊧≮⫘↔-101000010000011=≮⫘↔11000000","layer":2},{"info":"≮⫘↔11111111100⊢≮⫘↔111101000001=≮⫘↔-1000011101100","layer":3},{"info":"≮⫘↔10101101010⫸⇳≮⫘↔10101101100=≮⫘↔0","layer":3},{"info":"≮⫘↔-1000011101100∕⩚≮⫘↔0=≮⫘↔-111100111","layer":2},{"info":"≮⫘↔11000000≚⊃≕≮⫘↔-111100111=≮⫘↔-101110100","layer":1},{"info":"≮⫘↔0⊱⇼⊻≮⫘↔-101110100=≮⫘↔101011110010","layer":0}]}
{"id":24,"expression_no_base_symbol":"(($2894$≝⊿$5044$⪎⩰)∲⫓(($4189$⪢$6878$)⫻⋑⊟))+⪬∐((($3841$⨒$1218$)⪄$3665$⋛$1747$)⇌⫙⪟($1380$⪥$1998$)⪟⇏($1474$↢$2705$))","expression":"((≮⫘↔101101001110≝⊿≮⫘↔1001110110100⪎⩰)∲⫓((≮⫘↔1000001011101⪢≮⫘↔1101011011110)⫻⋑⊟))+⪬∐(((≮⫘↔111100000001⨒≮⫘↔10011000010)⪄≮⫘↔111001010001⋛≮⫘↔11011010011)⇌⫙⪟(≮⫘↔10101100100⪥≮⫘↔11111001110)⪟⇏(≮⫘↔10111000010↢≮⫘↔101010010001))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7392,"operation_count":13,"complexity_ratio":568.6153846153846,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2894,"base":2},"right_expr":{"type":"numeric_atoms","value":5044,"base":2}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4189,"base":2},"right_expr":{"type":"numeric_atoms","value":6878,"base":2}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3841,"base":2},"right_expr":{"type":"numeric_atoms","value":1218,"base":2}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3665,"base":2},"right_expr":{"type":"numeric_atoms","value":1747,"base":2}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1380,"base":2},"right_expr":{"type":"numeric_atoms","value":1998,"base":2}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1474,"base":2},"right_expr":{"type":"numeric_atoms","value":2705,"base":2}}}}},"used_operators":["2GS7woTJqF","i8ToyICDmI","2ufhKmSs5H","OKKcZfAt5B","o575Zjdmzy","dWAJyo7jo9","AFVx7xoS7T","SUmda5xLS4","y75s1iXyHd","YbUVn0Rbpy","GODebY97qR","QbnwKVWMIQ","WR6HLWljOP"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","12rbrZMWeM","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2894","layer":4},{"info":"number node, value=5044","layer":4},{"info":"compute binary expreesion, left_input=2894, right_input=5044, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-13515","layer":3},{"info":"compute unary expreesion, input=-13515, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-282781","layer":2},{"info":"number node, value=4189","layer":4},{"info":"number node, value=6878","layer":4},{"info":"compute binary expreesion, left_input=4189, right_input=6878, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-282781, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=3841","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=3841, right_input=1218, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-22674","layer":3},{"info":"number node, value=3665","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=1747, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-99207","layer":3},{"info":"compute binary expreesion, left_input=-22674, right_input=-99207, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1380","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=1998, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10172","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2705, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=990","layer":3},{"info":"compute binary expreesion, left_input=10172, right_input=990, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-1, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101101001110≝⊿≮⫘↔1001110110100⪎⩰)∲⫓((≮⫘↔1000001011101⪢≮⫘↔1101011011110)⫻⋑⊟))+⪬∐(((≮⫘↔111100000001⨒≮⫘↔10011000010)⪄≮⫘↔111001010001⋛≮⫘↔11011010011)⇌⫙⪟(≮⫘↔10101100100⪥≮⫘↔11111001110)⪟⇏(≮⫘↔10111000010↢≮⫘↔101010010001))=NaN","reverse_text":"NaN=((≮⫘↔101101001110≝⊿≮⫘↔1001110110100⪎⩰)∲⫓((≮⫘↔1000001011101⪢≮⫘↔1101011011110)⫻⋑⊟))+⪬∐(((≮⫘↔111100000001⨒≮⫘↔10011000010)⪄≮⫘↔111001010001⋛≮⫘↔11011010011)⇌⫙⪟(≮⫘↔10101100100⪥≮⫘↔11111001110)⪟⇏(≮⫘↔10111000010↢≮⫘↔101010010001))","cot":[{"info":"≮⫘↔101101001110≝⊿≮⫘↔1001110110100=≮⫘↔-11010011001011","layer":3},{"info":"≮⫘↔-11010011001011⪎⩰=≮⫘↔-1000101000010011101","layer":2},{"info":"≮⫘↔1000001011101⪢≮⫘↔1101011011110=NaN","layer":3},{"info":"NaN⫻⋑⊟=NaN","layer":2},{"info":"≮⫘↔-1000101000010011101∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔111100000001⨒≮⫘↔10011000010=≮⫘↔-101100010010010","layer":3},{"info":"≮⫘↔111001010001⋛≮⫘↔11011010011=≮⫘↔-11000001110000111","layer":3},{"info":"≮⫘↔-101100010010010⪄≮⫘↔-11000001110000111=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔10101100100⪥≮⫘↔11111001110=≮⫘↔10011110111100","layer":3},{"info":"≮⫘↔10111000010↢≮⫘↔101010010001=≮⫘↔1111011110","layer":3},{"info":"≮⫘↔10011110111100⪟⇏≮⫘↔1111011110=≮⫘↔-1","layer":2},{"info":"≮⫘↔111110001011⇌⫙⪟≮⫘↔-1=≮⫘↔1110001","layer":1},{"info":"NaN+⪬∐≮⫘↔1110001=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"((⨛$2388$)≀⫉($6460$⫦⪉$3987$))↼⊘⨖($8280$→⨶⪴$7461$⩚⊴⇥$4974$⊮⊟↴$6143$)⪘⫢((⊆⋠$1936$⊢$2939$)≑≱⪘)","expression":"((⨛≮⫘↔100101010100)≀⫉(≮⫘↔1100100111100⫦⪉≮⫘↔111110010011))↼⊘⨖(≮⫘↔10000001011000→⨶⪴≮⫘↔1110100100101⩚⊴⇥≮⫘↔1001101101110⊮⊟↴≮⫘↔1011111111111)⪘⫢((⊆⋠≮⫘↔11110010000⊢≮⫘↔101101111011)≑≱⪘)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":521,"operation_count":11,"complexity_ratio":47.36363636363637,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2388,"base":2}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6460,"base":2},"right_expr":{"type":"numeric_atoms","value":3987,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":8280,"base":2},"right_expr":{"type":"numeric_atoms","value":7461,"base":2}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4974,"base":2},"right_expr":{"type":"numeric_atoms","value":6143,"base":2}}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1936,"base":2},"right_expr":{"type":"numeric_atoms","value":2939,"base":2}}}}},"used_operators":["oacrs7FA3X","bPywburJMS","oZj3VtZNQx","CoMdbyAt7R","wscyQdcy20","NTOWxs364D","bF6eod5Gvf","QDVgd2eftb","tGSeddj7UK","EBhcHTkKd8","5twsqlHp2o"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","9FxExcQeMw","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"≮⫘↔10101100110100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=6460","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=6460, right_input=3987, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8020","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8020, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"number node, value=8280","layer":4},{"info":"number node, value=7461","layer":4},{"info":"compute binary expreesion, left_input=8280, right_input=7461, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-22383","layer":3},{"info":"number node, value=4974","layer":4},{"info":"number node, value=6143","layer":4},{"info":"compute binary expreesion, left_input=4974, right_input=6143, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22383, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=22262","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22262, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=44302","layer":1},{"info":"number node, value=1936","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=2939, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4116","layer":3},{"info":"compute unary expreesion, input=-4116, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=99819","layer":1},{"info":"compute binary expreesion, left_input=44302, right_input=99819, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=88480","layer":0}],"base":2,"result_base":2,"text":"((⨛≮⫘↔100101010100)≀⫉(≮⫘↔1100100111100⫦⪉≮⫘↔111110010011))↼⊘⨖(≮⫘↔10000001011000→⨶⪴≮⫘↔1110100100101⩚⊴⇥≮⫘↔1001101101110⊮⊟↴≮⫘↔1011111111111)⪘⫢((⊆⋠≮⫘↔11110010000⊢≮⫘↔101101111011)≑≱⪘)=≮⫘↔10101100110100000","reverse_text":"≮⫘↔10101100110100000=((⨛≮⫘↔100101010100)≀⫉(≮⫘↔1100100111100⫦⪉≮⫘↔111110010011))↼⊘⨖(≮⫘↔10000001011000→⨶⪴≮⫘↔1110100100101⩚⊴⇥≮⫘↔1001101101110⊮⊟↴≮⫘↔1011111111111)⪘⫢((⊆⋠≮⫘↔11110010000⊢≮⫘↔101101111011)≑≱⪘)","cot":[{"info":"⨛≮⫘↔100101010100=NaN","layer":3},{"info":"≮⫘↔1100100111100⫦⪉≮⫘↔111110010011=≮⫘↔-1111101010100","layer":3},{"info":"NaN≀⫉≮⫘↔-1111101010100=NaN","layer":2},{"info":"≮⫘↔10000001011000→⨶⪴≮⫘↔1110100100101=≮⫘↔-101011101101111","layer":3},{"info":"≮⫘↔1001101101110⊮⊟↴≮⫘↔1011111111111=≮⫘↔0","layer":3},{"info":"≮⫘↔-101011101101111⩚⊴⇥≮⫘↔0=≮⫘↔101011011110110","layer":2},{"info":"NaN↼⊘⨖≮⫘↔101011011110110=≮⫘↔1010110100001110","layer":1},{"info":"≮⫘↔11110010000⊢≮⫘↔101101111011=≮⫘↔-1000000010100","layer":3},{"info":"⊆⋠≮⫘↔-1000000010100=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔111110001011≑≱⪘=≮⫘↔11000010111101011","layer":1},{"info":"≮⫘↔1010110100001110⪘⫢≮⫘↔11000010111101011=≮⫘↔10101100110100000","layer":0}]}
{"id":26,"expression_no_base_symbol":"⪁⇼((($1745$⩅⪻⪻)⫚↹⊑$6047$⨥⫆$5156$)≀⫉$5432$⫞⩸⩒$1389$⨑⩅≇($1809$∲⫓$4282$))","expression":"⪁⇼(((≮⫘↔11011010001⩅⪻⪻)⫚↹⊑≮⫘↔1011110011111⨥⫆≮⫘↔1010000100100)≀⫉≮⫘↔1010100111000⫞⩸⩒≮⫘↔10101101101⨑⩅≇(≮⫘↔11100010001∲⫓≮⫘↔1000010111010))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":382,"operation_count":8,"complexity_ratio":47.75,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1745,"base":2}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":6047,"base":2},"right_expr":{"type":"numeric_atoms","value":5156,"base":2}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5432,"base":2},"right_expr":{"type":"numeric_atoms","value":1389,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1809,"base":2},"right_expr":{"type":"numeric_atoms","value":4282,"base":2}}}}},"used_operators":["ZNVVrZ94lY","oZj3VtZNQx","dfKe02y8D2","kHoXpA7yos","yXekIHxTD4","h92wMvzauj","XGcMNugi78","i8ToyICDmI"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔110100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-257685","layer":3},{"info":"number node, value=6047","layer":4},{"info":"number node, value=5156","layer":4},{"info":"compute binary expreesion, left_input=6047, right_input=5156, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10188","layer":3},{"info":"compute binary expreesion, left_input=-257685, right_input=10188, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=5432","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=5432, right_input=1389, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1389","layer":3},{"info":"number node, value=1809","layer":4},{"info":"number node, value=4282","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=4282, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1389, right_input=0, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-4167","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-4167, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":2,"result_base":2,"text":"⪁⇼(((≮⫘↔11011010001⩅⪻⪻)⫚↹⊑≮⫘↔1011110011111⨥⫆≮⫘↔1010000100100)≀⫉≮⫘↔1010100111000⫞⩸⩒≮⫘↔10101101101⨑⩅≇(≮⫘↔11100010001∲⫓≮⫘↔1000010111010))=≮⫘↔110100110","reverse_text":"≮⫘↔110100110=⪁⇼(((≮⫘↔11011010001⩅⪻⪻)⫚↹⊑≮⫘↔1011110011111⨥⫆≮⫘↔1010000100100)≀⫉≮⫘↔1010100111000⫞⩸⩒≮⫘↔10101101101⨑⩅≇(≮⫘↔11100010001∲⫓≮⫘↔1000010111010))","cot":[{"info":"≮⫘↔11011010001⩅⪻⪻=≮⫘↔-111110111010010101","layer":3},{"info":"≮⫘↔1011110011111⨥⫆≮⫘↔1010000100100=≮⫘↔10011111001100","layer":3},{"info":"≮⫘↔-111110111010010101⫚↹⊑≮⫘↔10011111001100=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔1010100111000⫞⩸⩒≮⫘↔10101101101=≮⫘↔10101101101","layer":3},{"info":"≮⫘↔11100010001∲⫓≮⫘↔1000010111010=≮⫘↔0","layer":3},{"info":"≮⫘↔10101101101⨑⩅≇≮⫘↔0=≮⫘↔-1000001000111","layer":2},{"info":"≮⫘↔-110111111≀⫉≮⫘↔-1000001000111=≮⫘↔101100000110","layer":1},{"info":"⪁⇼≮⫘↔101100000110=≮⫘↔110100110","layer":0}]}
{"id":27,"expression_no_base_symbol":"⇺⋃((⋃$3134$)⪥($4325$↺$5068$)⩍⋽⫝̸(($2035$↱$3161$)≃⋄))","expression":"⇺⋃((⋃≮⫘↔110000111110)⪥(≮⫘↔1000011100101↺≮⫘↔1001111001100)⩍⋽⫝̸((≮⫘↔11111110011↱≮⫘↔110001011001)≃⋄))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":157,"operation_count":7,"complexity_ratio":22.428571428571427,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3134,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4325,"base":2},"right_expr":{"type":"numeric_atoms","value":5068,"base":2}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2035,"base":2},"right_expr":{"type":"numeric_atoms","value":3161,"base":2}}}}},"used_operators":["E5v5B3UAjG","BiWNJpBvwn","QbnwKVWMIQ","3mBM5G4a3l","7j4O788W3g","aN9a90urxU","SR5kFfdi6N"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Ph9nP6C5qx","xUOZtlo3hN","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","jLgFTUHLKL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3134","layer":4},{"info":"compute unary expreesion, input=3134, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=6370","layer":3},{"info":"number node, value=4325","layer":4},{"info":"number node, value=5068","layer":4},{"info":"compute binary expreesion, left_input=4325, right_input=5068, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5068","layer":3},{"info":"compute binary expreesion, left_input=6370, right_input=5068, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=30132","layer":2},{"info":"number node, value=2035","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=3161, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-8961","layer":3},{"info":"compute unary expreesion, input=-8961, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=37456","layer":2},{"info":"compute binary expreesion, left_input=30132, right_input=37456, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=36510","layer":1},{"info":"compute unary expreesion, input=36510, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇺⋃((⋃≮⫘↔110000111110)⪥(≮⫘↔1000011100101↺≮⫘↔1001111001100)⩍⋽⫝̸((≮⫘↔11111110011↱≮⫘↔110001011001)≃⋄))=NaN","reverse_text":"NaN=⇺⋃((⋃≮⫘↔110000111110)⪥(≮⫘↔1000011100101↺≮⫘↔1001111001100)⩍⋽⫝̸((≮⫘↔11111110011↱≮⫘↔110001011001)≃⋄))","cot":[{"info":"⋃≮⫘↔110000111110=≮⫘↔1100011100010","layer":3},{"info":"≮⫘↔1000011100101↺≮⫘↔1001111001100=≮⫘↔1001111001100","layer":3},{"info":"≮⫘↔1100011100010⪥≮⫘↔1001111001100=≮⫘↔111010110110100","layer":2},{"info":"≮⫘↔11111110011↱≮⫘↔110001011001=≮⫘↔-10001100000001","layer":3},{"info":"≮⫘↔-10001100000001≃⋄=≮⫘↔1001001001010000","layer":2},{"info":"≮⫘↔111010110110100⩍⋽⫝̸≮⫘↔1001001001010000=≮⫘↔1000111010011110","layer":1},{"info":"⇺⋃≮⫘↔1000111010011110=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"($3091$∝$5813$∠⫱($3711$+$6159$))⨚($2239$≦↸$1250$⇔⨋)⊋(($5300$⪝$4087$)⪬($1614$≒∊$2559$)⫔⩽⩺($1265$≬⋮$1187$)≓∲$1716$∀⇚≩$3973$)","expression":"(≮⫘↔110000010011∝≮⫘↔1011010110101∠⫱(≮⫘↔111001111111+≮⫘↔1100000001111))⨚(≮⫘↔100010111111≦↸≮⫘↔10011100010⇔⨋)⊋((≮⫘↔1010010110100⪝≮⫘↔111111110111)⪬(≮⫘↔11001001110≒∊≮⫘↔100111111111)⫔⩽⩺(≮⫘↔10011110001≬⋮≮⫘↔10010100011)≓∲≮⫘↔11010110100∀⇚≩≮⫘↔111110000101)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":13197,"operation_count":14,"complexity_ratio":942.6428571428571,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3091,"base":2},"right_expr":{"type":"numeric_atoms","value":5813,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3711,"base":2},"right_expr":{"type":"numeric_atoms","value":6159,"base":2}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2239,"base":2},"right_expr":{"type":"numeric_atoms","value":1250,"base":2}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5300,"base":2},"right_expr":{"type":"numeric_atoms","value":4087,"base":2}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1614,"base":2},"right_expr":{"type":"numeric_atoms","value":2559,"base":2}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1265,"base":2},"right_expr":{"type":"numeric_atoms","value":1187,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1716,"base":2},"right_expr":{"type":"numeric_atoms","value":3973,"base":2}}}}},"used_operators":["W4tP9CfskL","nREPSIbpBE","QvoQhV0rrE","cTDWOvIxvz","W4YGzv6Whe","uBihLCJcMX","RygbFNSyEJ","i9eR4S00cU","Ez1Nq5fNfI","wicAB68Tmb","5KTvxBwnZo","s1XTVnmDOJ","kbkesczE7y","LRNGc0VcxI"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","BjRHVeLaeN","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","7j4O788W3g","W4YGzv6Whe","COABgblf1C","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Tw270M8GLb","fu6greOZ01","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3091","layer":4},{"info":"number node, value=5813","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=5813, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3096","layer":3},{"info":"number node, value=3711","layer":4},{"info":"number node, value=6159","layer":4},{"info":"compute binary expreesion, left_input=3711, right_input=6159, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9870","layer":3},{"info":"compute binary expreesion, left_input=3096, right_input=9870, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=2239","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=1250, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6297","layer":3},{"info":"compute unary expreesion, input=-6297, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=287, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=2254","layer":1},{"info":"number node, value=5300","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=5300, right_input=4087, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5251","layer":3},{"info":"number node, value=1614","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=2559, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1130","layer":3},{"info":"compute binary expreesion, left_input=-5251, right_input=-1130, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1265","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=1187, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=3973, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2254, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110000010011∝≮⫘↔1011010110101∠⫱(≮⫘↔111001111111+≮⫘↔1100000001111))⨚(≮⫘↔100010111111≦↸≮⫘↔10011100010⇔⨋)⊋((≮⫘↔1010010110100⪝≮⫘↔111111110111)⪬(≮⫘↔11001001110≒∊≮⫘↔100111111111)⫔⩽⩺(≮⫘↔10011110001≬⋮≮⫘↔10010100011)≓∲≮⫘↔11010110100∀⇚≩≮⫘↔111110000101)=NaN","reverse_text":"NaN=(≮⫘↔110000010011∝≮⫘↔1011010110101∠⫱(≮⫘↔111001111111+≮⫘↔1100000001111))⨚(≮⫘↔100010111111≦↸≮⫘↔10011100010⇔⨋)⊋((≮⫘↔1010010110100⪝≮⫘↔111111110111)⪬(≮⫘↔11001001110≒∊≮⫘↔100111111111)⫔⩽⩺(≮⫘↔10011110001≬⋮≮⫘↔10010100011)≓∲≮⫘↔11010110100∀⇚≩≮⫘↔111110000101)","cot":[{"info":"≮⫘↔110000010011∝≮⫘↔1011010110101=≮⫘↔110000011000","layer":3},{"info":"≮⫘↔111001111111+≮⫘↔1100000001111=≮⫘↔10011010001110","layer":3},{"info":"≮⫘↔110000011000∠⫱≮⫘↔10011010001110=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔100010111111≦↸≮⫘↔10011100010=≮⫘↔-1100010011001","layer":3},{"info":"≮⫘↔-1100010011001⇔⨋=≮⫘↔100011111","layer":2},{"info":"≮⫘↔10011010010⨚≮⫘↔100011111=≮⫘↔100011001110","layer":1},{"info":"≮⫘↔1010010110100⪝≮⫘↔111111110111=≮⫘↔-1010010000011","layer":3},{"info":"≮⫘↔11001001110≒∊≮⫘↔100111111111=≮⫘↔-10001101010","layer":3},{"info":"≮⫘↔-1010010000011⪬≮⫘↔-10001101010=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔10011110001≬⋮≮⫘↔10010100011=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔11010110100∀⇚≩≮⫘↔111110000101=NaN","layer":3},{"info":"≮⫘↔1101100100≓∲NaN=NaN","layer":2},{"info":"≮⫘↔10011010010⫔⩽⩺NaN=NaN","layer":1},{"info":"≮⫘↔100011001110⊋NaN=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"($3238$⊢$2569$⪭$1274$⪎↠$3577$⇽⩪)∇⊂⋱((≇⪴$8223$)⫞⩸⩒($2368$⋝⋈⪟$1450$))≁↽≥((⨭⩧⫛$4159$)∠↢$4620$≧⫂∧$1978$)","expression":"(≮⫘↔110010100110⊢≮⫘↔101000001001⪭≮⫘↔10011111010⪎↠≮⫘↔110111111001⇽⩪)∇⊂⋱((≇⪴≮⫘↔10000000011111)⫞⩸⩒(≮⫘↔100101000000⋝⋈⪟≮⫘↔10110101010))≁↽≥((⨭⩧⫛≮⫘↔1000000111111)∠↢≮⫘↔1001000001100≧⫂∧≮⫘↔11110111010)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":207,"operation_count":12,"complexity_ratio":17.25,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3238,"base":2},"right_expr":{"type":"numeric_atoms","value":2569,"base":2}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1274,"base":2},"right_expr":{"type":"numeric_atoms","value":3577,"base":2}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":8223,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2368,"base":2},"right_expr":{"type":"numeric_atoms","value":1450,"base":2}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":4159,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4620,"base":2},"right_expr":{"type":"numeric_atoms","value":1978,"base":2}}}}},"used_operators":["nhYeJWJD5X","FonBHBYJbU","j9kHMeSvPp","5twsqlHp2o","3tVxb0NHM4","ncHt1X6cMc","XGcMNugi78","zoVPnxeHJ3","2DDjHMKMc0","KbjG8mgYpV","g21JL6JxX7","Ph9nP6C5qx"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","oWn0xqSxBt","3Oe9XWJUTD","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔110100000111010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3238","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=2569, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6720","layer":3},{"info":"number node, value=1274","layer":4},{"info":"number node, value=3577","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=3577, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-6720, right_input=160, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=6546","layer":2},{"info":"compute unary expreesion, input=6546, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=13614","layer":1},{"info":"number node, value=8223","layer":4},{"info":"compute unary expreesion, input=8223, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-23329","layer":3},{"info":"number node, value=2368","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=1450, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2368","layer":3},{"info":"compute binary expreesion, left_input=-23329, right_input=2368, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-23329","layer":2},{"info":"number node, value=4159","layer":4},{"info":"compute unary expreesion, input=4159, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=4620","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=4620, right_input=1978, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1505","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1505, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-23329, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13614, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=26682","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110010100110⊢≮⫘↔101000001001⪭≮⫘↔10011111010⪎↠≮⫘↔110111111001⇽⩪)∇⊂⋱((≇⪴≮⫘↔10000000011111)⫞⩸⩒(≮⫘↔100101000000⋝⋈⪟≮⫘↔10110101010))≁↽≥((⨭⩧⫛≮⫘↔1000000111111)∠↢≮⫘↔1001000001100≧⫂∧≮⫘↔11110111010)=≮⫘↔110100000111010","reverse_text":"≮⫘↔110100000111010=(≮⫘↔110010100110⊢≮⫘↔101000001001⪭≮⫘↔10011111010⪎↠≮⫘↔110111111001⇽⩪)∇⊂⋱((≇⪴≮⫘↔10000000011111)⫞⩸⩒(≮⫘↔100101000000⋝⋈⪟≮⫘↔10110101010))≁↽≥((⨭⩧⫛≮⫘↔1000000111111)∠↢≮⫘↔1001000001100≧⫂∧≮⫘↔11110111010)","cot":[{"info":"≮⫘↔110010100110⊢≮⫘↔101000001001=≮⫘↔-1101001000000","layer":3},{"info":"≮⫘↔10011111010⪎↠≮⫘↔110111111001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1101001000000⪭≮⫘↔10100000=≮⫘↔1100110010010","layer":2},{"info":"≮⫘↔1100110010010⇽⩪=≮⫘↔11010100101110","layer":1},{"info":"≇⪴≮⫘↔10000000011111=≮⫘↔-101101100100001","layer":3},{"info":"≮⫘↔100101000000⋝⋈⪟≮⫘↔10110101010=≮⫘↔100101000000","layer":3},{"info":"≮⫘↔-101101100100001⫞⩸⩒≮⫘↔100101000000=≮⫘↔-101101100100001","layer":2},{"info":"⨭⩧⫛≮⫘↔1000000111111=NaN","layer":3},{"info":"≮⫘↔1001000001100≧⫂∧≮⫘↔11110111010=≮⫘↔10111100001","layer":3},{"info":"NaN∠↢≮⫘↔10111100001=NaN","layer":2},{"info":"≮⫘↔-101101100100001≁↽≥NaN=NaN","layer":1},{"info":"≮⫘↔11010100101110∇⊂⋱NaN=≮⫘↔110100000111010","layer":0}]}
{"id":30,"expression_no_base_symbol":"(⊊≼∋($3046$⩨$2187$)⇂≾⫗($1466$⇮⋭$2114$))⪚⩙≫","expression":"(⊊≼∋(≮⫘↔101111100110⩨≮⫘↔100010001011)⇂≾⫗(≮⫘↔10110111010⇮⋭≮⫘↔100001000010))⪚⩙≫","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":138,"operation_count":5,"complexity_ratio":27.6,"tree":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3046,"base":2},"right_expr":{"type":"numeric_atoms","value":2187,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1466,"base":2},"right_expr":{"type":"numeric_atoms","value":2114,"base":2}}}}},"used_operators":["4n53wtyJvv","FWz7pXsQhA","aBQ6xLxuTc","2DlMacCsIx","vkpjKywKVM"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","B5M0gjZbta","jCPkEVoL5K","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3046","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=3046, right_input=2187, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1466","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=2114, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-473, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊊≼∋(≮⫘↔101111100110⩨≮⫘↔100010001011)⇂≾⫗(≮⫘↔10110111010⇮⋭≮⫘↔100001000010))⪚⩙≫=NaN","reverse_text":"NaN=(⊊≼∋(≮⫘↔101111100110⩨≮⫘↔100010001011)⇂≾⫗(≮⫘↔10110111010⇮⋭≮⫘↔100001000010))⪚⩙≫","cot":[{"info":"≮⫘↔101111100110⩨≮⫘↔100010001011=≮⫘↔0","layer":3},{"info":"≮⫘↔10110111010⇮⋭≮⫘↔100001000010=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔0⇂≾⫗≮⫘↔-111011001=≮⫘↔-1010011110","layer":2},{"info":"⊊≼∋≮⫘↔-1010011110=NaN","layer":1},{"info":"NaN⪚⩙≫=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"(($5104$⨂≜$3293$⫍⨯↯)⇴∐($1127$⨫⇇↔$7191$⩧⪆($4910$⫲≸⪮$2673$)))⫚⫇","expression":"((≮⫘↔1001111110000⨂≜≮⫘↔110011011101⫍⨯↯)⇴∐(≮⫘↔10001100111⨫⇇↔≮⫘↔1110000010111⩧⪆(≮⫘↔1001100101110⫲≸⪮≮⫘↔101001110001)))⫚⫇","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10097,"operation_count":7,"complexity_ratio":1442.4285714285713,"tree":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5104,"base":2},"right_expr":{"type":"numeric_atoms","value":3293,"base":2}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1127,"base":2},"right_expr":{"type":"numeric_atoms","value":7191,"base":2}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4910,"base":2},"right_expr":{"type":"numeric_atoms","value":2673,"base":2}}}}},"used_operators":["SdCjLnB6rR","HnzytWxmAO","ZcwmYACASQ","k1SHOSEABc","Ikt5ks8PT7","LXhwmt4mBO","P3lXMJvFrc"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eewbuw0ToL","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≮⫘↔-11010100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5104","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=5104, right_input=3293, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":2},{"info":"number node, value=1127","layer":4},{"info":"number node, value=7191","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=7191, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=4910","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=4910, right_input=2673, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4910","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=4910, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4910","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-4910, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"compute unary expreesion, input=-116, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1700","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001111110000⨂≜≮⫘↔110011011101⫍⨯↯)⇴∐(≮⫘↔10001100111⨫⇇↔≮⫘↔1110000010111⩧⪆(≮⫘↔1001100101110⫲≸⪮≮⫘↔101001110001)))⫚⫇=≮⫘↔-11010100100","reverse_text":"≮⫘↔-11010100100=((≮⫘↔1001111110000⨂≜≮⫘↔110011011101⫍⨯↯)⇴∐(≮⫘↔10001100111⨫⇇↔≮⫘↔1110000010111⩧⪆(≮⫘↔1001100101110⫲≸⪮≮⫘↔101001110001)))⫚⫇","cot":[{"info":"≮⫘↔1001111110000⨂≜≮⫘↔110011011101=NaN","layer":3},{"info":"NaN⫍⨯↯=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔10001100111⨫⇇↔≮⫘↔1110000010111=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔1001100101110⫲≸⪮≮⫘↔101001110001=≮⫘↔1001100101110","layer":3},{"info":"≮⫘↔-1000001111⩧⪆≮⫘↔1001100101110=≮⫘↔-1001100101110","layer":2},{"info":"≮⫘↔-10000110⇴∐≮⫘↔-1001100101110=≮⫘↔-1110100","layer":1},{"info":"≮⫘↔-1110100⫚⫇=≮⫘↔-11010100100","layer":0}]}
{"id":32,"expression_no_base_symbol":"(($1068$⇮⋭$3009$⪬∳)⊘)⩖⊿(($4280$∼$1611$)⩦(⪓⩚$3968$)⪍↜⋙(($1184$∖$9493$)⨁⊸⫻))","expression":"((≮⫘↔10000101100⇮⋭≮⫘↔101111000001⪬∳)⊘)⩖⊿((≮⫘↔1000010111000∼≮⫘↔11001001011)⩦(⪓⩚≮⫘↔111110000000)⪍↜⋙((≮⫘↔10010100000∖≮⫘↔10010100010101)⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6068,"operation_count":10,"complexity_ratio":606.8,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1068,"base":2},"right_expr":{"type":"numeric_atoms","value":3009,"base":2}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4280,"base":2},"right_expr":{"type":"numeric_atoms","value":1611,"base":2}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":3968,"base":2}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1184,"base":2},"right_expr":{"type":"numeric_atoms","value":9493,"base":2}}}}},"used_operators":["RZ5CV9rWsJ","gu96TGCTMs","O9U3z1385E","vkpjKywKVM","L05ObWFQCd","0kmYd0q39Y","DyGG3AbaNP","u0R0Locfp2","glklzrTFfD","tXD093vOjl"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":4},{"info":"number node, value=3009","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=3009, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute unary expreesion, input=-709, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":1},{"info":"number node, value=4280","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=4280, right_input=1611, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=3968","layer":4},{"info":"compute unary expreesion, input=3968, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=426, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=1184","layer":4},{"info":"number node, value=9493","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=9493, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000101100⇮⋭≮⫘↔101111000001⪬∳)⊘)⩖⊿((≮⫘↔1000010111000∼≮⫘↔11001001011)⩦(⪓⩚≮⫘↔111110000000)⪍↜⋙((≮⫘↔10010100000∖≮⫘↔10010100010101)⨁⊸⫻))=NaN","reverse_text":"NaN=((≮⫘↔10000101100⇮⋭≮⫘↔101111000001⪬∳)⊘)⩖⊿((≮⫘↔1000010111000∼≮⫘↔11001001011)⩦(⪓⩚≮⫘↔111110000000)⪍↜⋙((≮⫘↔10010100000∖≮⫘↔10010100010101)⨁⊸⫻))","cot":[{"info":"≮⫘↔10000101100⇮⋭≮⫘↔101111000001=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔-111011001⪬∳=≮⫘↔-1011000101","layer":2},{"info":"≮⫘↔-1011000101⊘=≮⫘↔-1","layer":1},{"info":"≮⫘↔1000010111000∼≮⫘↔11001001011=NaN","layer":3},{"info":"⪓⩚≮⫘↔111110000000=≮⫘↔110101010","layer":3},{"info":"NaN⩦≮⫘↔110101010=NaN","layer":2},{"info":"≮⫘↔10010100000∖≮⫘↔10010100010101=≮⫘↔0","layer":3},{"info":"≮⫘↔0⨁⊸⫻=≮⫘↔0","layer":2},{"info":"NaN⪍↜⋙≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔-1⩖⊿NaN=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"⇜⊴($3359$⋾⨃∁$2124$)⪛$2101$⩁⩘$3248$⋝⋈⪟(⨦⪝($6968$⩦$1855$))","expression":"⇜⊴(≮⫘↔110100011111⋾⨃∁≮⫘↔100001001100)⪛≮⫘↔100000110101⩁⩘≮⫘↔110010110000⋝⋈⪟(⨦⪝(≮⫘↔1101100111000⩦≮⫘↔11100111111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5538,"operation_count":7,"complexity_ratio":791.1428571428571,"tree":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3359,"base":2},"right_expr":{"type":"numeric_atoms","value":2124,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2101,"base":2},"right_expr":{"type":"numeric_atoms","value":3248,"base":2}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6968,"base":2},"right_expr":{"type":"numeric_atoms","value":1855,"base":2}}}}},"used_operators":["XwDhCwWbUn","2DDjHMKMc0","uFcxV4UQCh","212REbPD9h","gub5Cegaqo","SUjycxNXIR","0kmYd0q39Y"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","IWmyXbctLI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"≮⫘↔-101100010111010100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3359","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=2124, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=45088178","layer":3},{"info":"number node, value=2101","layer":4},{"info":"number node, value=3248","layer":4},{"info":"compute binary expreesion, left_input=2101, right_input=3248, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=13940","layer":3},{"info":"compute binary expreesion, left_input=45088178, right_input=13940, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=6218","layer":2},{"info":"number node, value=6968","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=6968, right_input=1855, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=13936","layer":3},{"info":"compute unary expreesion, input=13936, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=6218, right_input=-1884, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6218","layer":1},{"info":"compute unary expreesion, input=6218, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1453734","layer":0}],"base":2,"result_base":2,"text":"⇜⊴(≮⫘↔110100011111⋾⨃∁≮⫘↔100001001100)⪛≮⫘↔100000110101⩁⩘≮⫘↔110010110000⋝⋈⪟(⨦⪝(≮⫘↔1101100111000⩦≮⫘↔11100111111))=≮⫘↔-101100010111010100110","reverse_text":"≮⫘↔-101100010111010100110=⇜⊴(≮⫘↔110100011111⋾⨃∁≮⫘↔100001001100)⪛≮⫘↔100000110101⩁⩘≮⫘↔110010110000⋝⋈⪟(⨦⪝(≮⫘↔1101100111000⩦≮⫘↔11100111111))","cot":[{"info":"≮⫘↔110100011111⋾⨃∁≮⫘↔100001001100=≮⫘↔10101011111111110110110010","layer":3},{"info":"≮⫘↔100000110101⩁⩘≮⫘↔110010110000=≮⫘↔11011001110100","layer":3},{"info":"≮⫘↔10101011111111110110110010⪛≮⫘↔11011001110100=≮⫘↔1100001001010","layer":2},{"info":"≮⫘↔1101100111000⩦≮⫘↔11100111111=≮⫘↔11011001110000","layer":3},{"info":"⨦⪝≮⫘↔11011001110000=≮⫘↔-11101011100","layer":2},{"info":"≮⫘↔1100001001010⋝⋈⪟≮⫘↔-11101011100=≮⫘↔1100001001010","layer":1},{"info":"⇜⊴≮⫘↔1100001001010=≮⫘↔-101100010111010100110","layer":0}]}
{"id":34,"expression_no_base_symbol":"($1506$⪔⊥$4179$)⊕∕($1416$≬⋮$2027$)⩦(-(⨑⩽⪐$1222$))∴≳≥","expression":"(≮⫘↔10111100010⪔⊥≮⫘↔1000001010011)⊕∕(≮⫘↔10110001000≬⋮≮⫘↔11111101011)⩦(-(⨑⩽⪐≮⫘↔10011000110))∴≳≥","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":58,"operation_count":7,"complexity_ratio":8.285714285714286,"tree":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1506,"base":2},"right_expr":{"type":"numeric_atoms","value":4179,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1416,"base":2},"right_expr":{"type":"numeric_atoms","value":2027,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1222,"base":2}}}}},"used_operators":["a3N2hFLK0J","0kmYd0q39Y","9cloC0Ngie","HJ9erzHUuu","kbkesczE7y","t8gj7n24qd","AF7qkfDlqP"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔-11101011000100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1506","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=4179, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-2533","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=2027, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-2533, right_input=868, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-2533","layer":2},{"info":"number node, value=1222","layer":4},{"info":"compute unary expreesion, input=1222, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-949","layer":3},{"info":"compute unary expreesion, input=-949, op_id = t8gj7n24qd, unary_op_definition = 'None', output=949","layer":2},{"info":"compute binary expreesion, left_input=-2533, right_input=949, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-30089","layer":1},{"info":"compute unary expreesion, input=-30089, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-120356","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10111100010⪔⊥≮⫘↔1000001010011)⊕∕(≮⫘↔10110001000≬⋮≮⫘↔11111101011)⩦(-(⨑⩽⪐≮⫘↔10011000110))∴≳≥=≮⫘↔-11101011000100100","reverse_text":"≮⫘↔-11101011000100100=(≮⫘↔10111100010⪔⊥≮⫘↔1000001010011)⊕∕(≮⫘↔10110001000≬⋮≮⫘↔11111101011)⩦(-(⨑⩽⪐≮⫘↔10011000110))∴≳≥","cot":[{"info":"≮⫘↔10111100010⪔⊥≮⫘↔1000001010011=≮⫘↔-100111100101","layer":3},{"info":"≮⫘↔10110001000≬⋮≮⫘↔11111101011=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔-100111100101⊕∕≮⫘↔1101100100=≮⫘↔-100111100101","layer":2},{"info":"⨑⩽⪐≮⫘↔10011000110=≮⫘↔-1110110101","layer":3},{"info":"-≮⫘↔-1110110101=≮⫘↔1110110101","layer":2},{"info":"≮⫘↔-100111100101⩦≮⫘↔1110110101=≮⫘↔-111010110001001","layer":1},{"info":"≮⫘↔-111010110001001∴≳≥=≮⫘↔-11101011000100100","layer":0}]}
{"id":35,"expression_no_base_symbol":"≋((↴⪽⋼$7962$⋣⋖$8099$)∛($2686$⩚⊴⇥$2719$⫦⪉$2851$⨓$5542$))","expression":"≋((↴⪽⋼≮⫘↔1111100011010⋣⋖≮⫘↔1111110100011)∛(≮⫘↔101001111110⩚⊴⇥≮⫘↔101010011111⫦⪉≮⫘↔101100100011⨓≮⫘↔1010110100110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5675,"operation_count":7,"complexity_ratio":810.7142857142857,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":7962,"base":2},"right_expr":{"type":"numeric_atoms","value":8099,"base":2}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2686,"base":2},"right_expr":{"type":"numeric_atoms","value":2719,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2851,"base":2},"right_expr":{"type":"numeric_atoms","value":5542,"base":2}}}}},"used_operators":["61wBmkZwlr","w2537kitQq","5TUYCnJO6w","J0M6qkBnIM","wscyQdcy20","NTOWxs364D","3ViojmjbAp"],"dependent_operators":["7j4O788W3g","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≮⫘↔-1010011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7962","layer":4},{"info":"number node, value=8099","layer":4},{"info":"compute binary expreesion, left_input=7962, right_input=8099, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=7962","layer":3},{"info":"compute unary expreesion, input=7962, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=7962","layer":2},{"info":"number node, value=2686","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=2719, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5526","layer":3},{"info":"number node, value=2851","layer":4},{"info":"number node, value=5542","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=5542, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5545","layer":3},{"info":"compute binary expreesion, left_input=-5526, right_input=-5545, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=14890","layer":2},{"info":"compute binary expreesion, left_input=7962, right_input=14890, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute unary expreesion, input=-670, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-670","layer":0}],"base":2,"result_base":2,"text":"≋((↴⪽⋼≮⫘↔1111100011010⋣⋖≮⫘↔1111110100011)∛(≮⫘↔101001111110⩚⊴⇥≮⫘↔101010011111⫦⪉≮⫘↔101100100011⨓≮⫘↔1010110100110))=≮⫘↔-1010011110","reverse_text":"≮⫘↔-1010011110=≋((↴⪽⋼≮⫘↔1111100011010⋣⋖≮⫘↔1111110100011)∛(≮⫘↔101001111110⩚⊴⇥≮⫘↔101010011111⫦⪉≮⫘↔101100100011⨓≮⫘↔1010110100110))","cot":[{"info":"≮⫘↔1111100011010⋣⋖≮⫘↔1111110100011=≮⫘↔1111100011010","layer":3},{"info":"↴⪽⋼≮⫘↔1111100011010=≮⫘↔1111100011010","layer":2},{"info":"≮⫘↔101001111110⩚⊴⇥≮⫘↔101010011111=≮⫘↔-1010110010110","layer":3},{"info":"≮⫘↔101100100011⨓≮⫘↔1010110100110=≮⫘↔-1010110101001","layer":3},{"info":"≮⫘↔-1010110010110⫦⪉≮⫘↔-1010110101001=≮⫘↔11101000101010","layer":2},{"info":"≮⫘↔1111100011010∛≮⫘↔11101000101010=≮⫘↔-1010011110","layer":1},{"info":"≋≮⫘↔-1010011110=≮⫘↔-1010011110","layer":0}]}
{"id":36,"expression_no_base_symbol":"⨵((⫓⪴$3442$↳≱$2360$)⩢≌)","expression":"⨵((⫓⪴≮⫘↔110101110010↳≱≮⫘↔100100111000)⩢≌)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":376,"operation_count":4,"complexity_ratio":94.0,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3442,"base":2},"right_expr":{"type":"numeric_atoms","value":2360,"base":2}}}}},"used_operators":["Tl3Y52tvF8","D617RFjZIq","eLxqMNBOBk","JwTKLfZU96"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","hTbEZDJLEm","o20kRiQErp","9HNa5Wba9A","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"≮⫘↔10001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3442","layer":4},{"info":"number node, value=2360","layer":4},{"info":"compute binary expreesion, left_input=3442, right_input=2360, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=143","layer":0}],"base":2,"result_base":2,"text":"⨵((⫓⪴≮⫘↔110101110010↳≱≮⫘↔100100111000)⩢≌)=≮⫘↔10001111","reverse_text":"≮⫘↔10001111=⨵((⫓⪴≮⫘↔110101110010↳≱≮⫘↔100100111000)⩢≌)","cot":[{"info":"≮⫘↔110101110010↳≱≮⫘↔100100111000=≮⫘↔0","layer":3},{"info":"⫓⪴≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔0⩢≌=≮⫘↔1110001","layer":1},{"info":"⨵≮⫘↔1110001=≮⫘↔10001111","layer":0}]}
{"id":37,"expression_no_base_symbol":"(⪲⇎(⩷(⊁⨺$1513$)))⩇∃⫛($4020$⨂≜$6369$∖$3893$⪝$7412$)⨑⩅≇(⇨(⇠$3320$))","expression":"(⪲⇎(⩷(⊁⨺≮⫘↔10111101001)))⩇∃⫛(≮⫘↔111110110100⨂≜≮⫘↔1100011100001∖≮⫘↔111100110101⪝≮⫘↔1110011110100)⨑⩅≇(⇨(⇠≮⫘↔110011111000))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4775,"operation_count":10,"complexity_ratio":477.5,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1513,"base":2}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4020,"base":2},"right_expr":{"type":"numeric_atoms","value":6369,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3893,"base":2},"right_expr":{"type":"numeric_atoms","value":7412,"base":2}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":3320,"base":2}}}}},"used_operators":["1aApVXNlOP","XPYlsWDdGa","1h0rLqGiFr","PxiHyQbrIp","h92wMvzauj","tXD093vOjl","k1SHOSEABc","wicAB68Tmb","G9tJMlZ94a","18saOjeKKm"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"≮⫘↔-111110011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-1999","layer":2},{"info":"compute unary expreesion, input=-1999, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-3998","layer":1},{"info":"number node, value=4020","layer":4},{"info":"number node, value=6369","layer":4},{"info":"compute binary expreesion, left_input=4020, right_input=6369, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3893","layer":4},{"info":"number node, value=7412","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=7412, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=237, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=3320","layer":4},{"info":"compute unary expreesion, input=3320, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3078","layer":3},{"info":"compute unary expreesion, input=-3078, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3998, right_input=0, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-3998","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎(⩷(⊁⨺≮⫘↔10111101001)))⩇∃⫛(≮⫘↔111110110100⨂≜≮⫘↔1100011100001∖≮⫘↔111100110101⪝≮⫘↔1110011110100)⨑⩅≇(⇨(⇠≮⫘↔110011111000))=≮⫘↔-111110011110","reverse_text":"≮⫘↔-111110011110=(⪲⇎(⩷(⊁⨺≮⫘↔10111101001)))⩇∃⫛(≮⫘↔111110110100⨂≜≮⫘↔1100011100001∖≮⫘↔111100110101⪝≮⫘↔1110011110100)⨑⩅≇(⇨(⇠≮⫘↔110011111000))","cot":[{"info":"⊁⨺≮⫘↔10111101001=≮⫘↔10100000","layer":3},{"info":"⩷≮⫘↔10100000=≮⫘↔-11111001111","layer":2},{"info":"⪲⇎≮⫘↔-11111001111=≮⫘↔-111110011110","layer":1},{"info":"≮⫘↔111110110100⨂≜≮⫘↔1100011100001=NaN","layer":3},{"info":"≮⫘↔111100110101⪝≮⫘↔1110011110100=≮⫘↔11101101","layer":3},{"info":"NaN∖≮⫘↔11101101=≮⫘↔0","layer":2},{"info":"⇠≮⫘↔110011111000=≮⫘↔-110000000110","layer":3},{"info":"⇨≮⫘↔-110000000110=≮⫘↔0","layer":2},{"info":"≮⫘↔0⨑⩅≇≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔-111110011110⩇∃⫛≮⫘↔0=≮⫘↔-111110011110","layer":0}]}
{"id":38,"expression_no_base_symbol":"($2954$⫯⪬∳$1042$↼⊘⨖($1095$∐⫣)⊨(⇜⊴$1366$⊮⊟↴$1052$))⇌⫙⪟($2386$∊∟⩊$6121$⇣⩺⋵($3752$⪃↞⩐)⪨⊡$2420$∺≝⩲$1457$⋣⋖$6776$∺≝⩲$7738$)","expression":"(≮⫘↔101110001010⫯⪬∳≮⫘↔10000010010↼⊘⨖(≮⫘↔10001000111∐⫣)⊨(⇜⊴≮⫘↔10101010110⊮⊟↴≮⫘↔10000011100))⇌⫙⪟(≮⫘↔100101010010∊∟⩊≮⫘↔1011111101001⇣⩺⋵(≮⫘↔111010101000⪃↞⩐)⪨⊡≮⫘↔100101110100∺≝⩲≮⫘↔10110110001⋣⋖≮⫘↔1101001111000∺≝⩲≮⫘↔1111000111010)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":963,"operation_count":14,"complexity_ratio":68.78571428571429,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2954,"base":2},"right_expr":{"type":"numeric_atoms","value":1042,"base":2}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1095,"base":2}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1366,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2386,"base":2},"right_expr":{"type":"numeric_atoms","value":6121,"base":2}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":3752,"base":2}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2420,"base":2},"right_expr":{"type":"numeric_atoms","value":1457,"base":2}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6776,"base":2},"right_expr":{"type":"numeric_atoms","value":7738,"base":2}}}}},"used_operators":["AFVx7xoS7T","vg4gO5BX6G","bPywburJMS","d7ASUq0ydm","4CyGpkTkEk","XwDhCwWbUn","QDVgd2eftb","kuIXHzHcAH","F4yD0voBRQ","ddLRYrp01A","grXIztHqDa","J0M6qkBnIM","KPf6cnQVty"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"≮⫘↔1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2954","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=1042, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13761","layer":3},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=13761, right_input=551, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=880","layer":2},{"info":"number node, value=1366","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1052, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=9194","layer":2},{"info":"compute binary expreesion, left_input=880, right_input=9194, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=4551","layer":1},{"info":"number node, value=2386","layer":4},{"info":"number node, value=6121","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=6121, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6121","layer":3},{"info":"number node, value=3752","layer":4},{"info":"compute unary expreesion, input=3752, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=22818","layer":3},{"info":"compute binary expreesion, left_input=6121, right_input=22818, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-21090","layer":2},{"info":"number node, value=2420","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=1457, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=6776","layer":4},{"info":"number node, value=7738","layer":4},{"info":"compute binary expreesion, left_input=6776, right_input=7738, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-21090, right_input=160, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=4551, right_input=113, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101110001010⫯⪬∳≮⫘↔10000010010↼⊘⨖(≮⫘↔10001000111∐⫣)⊨(⇜⊴≮⫘↔10101010110⊮⊟↴≮⫘↔10000011100))⇌⫙⪟(≮⫘↔100101010010∊∟⩊≮⫘↔1011111101001⇣⩺⋵(≮⫘↔111010101000⪃↞⩐)⪨⊡≮⫘↔100101110100∺≝⩲≮⫘↔10110110001⋣⋖≮⫘↔1101001111000∺≝⩲≮⫘↔1111000111010)=≮⫘↔1110001","reverse_text":"≮⫘↔1110001=(≮⫘↔101110001010⫯⪬∳≮⫘↔10000010010↼⊘⨖(≮⫘↔10001000111∐⫣)⊨(⇜⊴≮⫘↔10101010110⊮⊟↴≮⫘↔10000011100))⇌⫙⪟(≮⫘↔100101010010∊∟⩊≮⫘↔1011111101001⇣⩺⋵(≮⫘↔111010101000⪃↞⩐)⪨⊡≮⫘↔100101110100∺≝⩲≮⫘↔10110110001⋣⋖≮⫘↔1101001111000∺≝⩲≮⫘↔1111000111010)","cot":[{"info":"≮⫘↔101110001010⫯⪬∳≮⫘↔10000010010=≮⫘↔11010111000001","layer":3},{"info":"≮⫘↔10001000111∐⫣=≮⫘↔1000100111","layer":3},{"info":"≮⫘↔11010111000001↼⊘⨖≮⫘↔1000100111=≮⫘↔1101110000","layer":2},{"info":"≮⫘↔10101010110⊮⊟↴≮⫘↔10000011100=≮⫘↔0","layer":3},{"info":"⇜⊴≮⫘↔0=≮⫘↔10001111101010","layer":2},{"info":"≮⫘↔1101110000⊨≮⫘↔10001111101010=≮⫘↔1000111000111","layer":1},{"info":"≮⫘↔100101010010∊∟⩊≮⫘↔1011111101001=≮⫘↔1011111101001","layer":3},{"info":"≮⫘↔111010101000⪃↞⩐=≮⫘↔101100100100010","layer":3},{"info":"≮⫘↔1011111101001⇣⩺⋵≮⫘↔101100100100010=≮⫘↔-101001001100010","layer":2},{"info":"≮⫘↔100101110100∺≝⩲≮⫘↔10110110001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1101001111000∺≝⩲≮⫘↔1111000111010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⋣⋖≮⫘↔10100000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-101001001100010⪨⊡≮⫘↔10100000=≮⫘↔1110001","layer":1},{"info":"≮⫘↔1000111000111⇌⫙⪟≮⫘↔1110001=≮⫘↔1110001","layer":0}]}
{"id":39,"expression_no_base_symbol":"(⨑⩽⪐$4866$⋕⪉⪜$2051$+⪬∐($2385$⇮⋭$2095$))∑⇟⊟(($1157$⩱)⇂≾⫗($1119$⊉≛↸$1353$)⊟⇱)","expression":"(⨑⩽⪐≮⫘↔1001100000010⋕⪉⪜≮⫘↔100000000011+⪬∐(≮⫘↔100101010001⇮⋭≮⫘↔100000101111))∑⇟⊟((≮⫘↔10010000101⩱)⇂≾⫗(≮⫘↔10001011111⊉≛↸≮⫘↔10101001001)⊟⇱)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":173,"operation_count":9,"complexity_ratio":19.22222222222222,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4866,"base":2},"right_expr":{"type":"numeric_atoms","value":2051,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2385,"base":2},"right_expr":{"type":"numeric_atoms","value":2095,"base":2}}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1157,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1119,"base":2},"right_expr":{"type":"numeric_atoms","value":1353,"base":2}}}}},"used_operators":["U7g4x0WXJJ","AF7qkfDlqP","2GS7woTJqF","z6LnFrNh4i","vkpjKywKVM","03sUfWo75k","aBQ6xLxuTc","uyq1hVkAcj","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","g55IO6H4Gj","D4vGDi5EA2","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","IWmyXbctLI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4866","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=4866, right_input=2051, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=2385","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=2095, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-473, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8406","layer":2},{"info":"compute unary expreesion, input=-8406, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=17601","layer":1},{"info":"number node, value=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-7192","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1353, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2238","layer":3},{"info":"compute binary expreesion, left_input=-7192, right_input=2238, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-1024","layer":1},{"info":"compute binary expreesion, left_input=17601, right_input=-1024, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨑⩽⪐≮⫘↔1001100000010⋕⪉⪜≮⫘↔100000000011+⪬∐(≮⫘↔100101010001⇮⋭≮⫘↔100000101111))∑⇟⊟((≮⫘↔10010000101⩱)⇂≾⫗(≮⫘↔10001011111⊉≛↸≮⫘↔10101001001)⊟⇱)=NaN","reverse_text":"NaN=(⨑⩽⪐≮⫘↔1001100000010⋕⪉⪜≮⫘↔100000000011+⪬∐(≮⫘↔100101010001⇮⋭≮⫘↔100000101111))∑⇟⊟((≮⫘↔10010000101⩱)⇂≾⫗(≮⫘↔10001011111⊉≛↸≮⫘↔10101001001)⊟⇱)","cot":[{"info":"≮⫘↔1001100000010⋕⪉⪜≮⫘↔100000000011=≮⫘↔101011110010","layer":3},{"info":"≮⫘↔100101010001⇮⋭≮⫘↔100000101111=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔101011110010+⪬∐≮⫘↔-111011001=≮⫘↔-10000011010110","layer":2},{"info":"⨑⩽⪐≮⫘↔-10000011010110=≮⫘↔100010011000001","layer":1},{"info":"≮⫘↔10010000101⩱=≮⫘↔-1110000011000","layer":3},{"info":"≮⫘↔10001011111⊉≛↸≮⫘↔10101001001=≮⫘↔100010111110","layer":3},{"info":"≮⫘↔-1110000011000⇂≾⫗≮⫘↔100010111110=≮⫘↔-1010011110","layer":2},{"info":"≮⫘↔-1010011110⊟⇱=≮⫘↔-10000000000","layer":1},{"info":"≮⫘↔100010011000001∑⇟⊟≮⫘↔-10000000000=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"⨡↴((⪸$6512$)⊎←↗)⇍⊗((⨑⩽⪐$7787$)⇮⋭$2350$⋥⋵⩄$7243$)","expression":"⨡↴((⪸≮⫘↔1100101110000)⊎←↗)⇍⊗((⨑⩽⪐≮⫘↔1111001101011)⇮⋭≮⫘↔100100101110⋥⋵⩄≮⫘↔1110001001011)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":417,"operation_count":7,"complexity_ratio":59.57142857142857,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6512,"base":2}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7787,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2350,"base":2},"right_expr":{"type":"numeric_atoms","value":7243,"base":2}}}}},"used_operators":["liw5iZPkLH","5uvYHDjeKN","dwb5p0fa6d","86A5ENbKR9","vkpjKywKVM","AF7qkfDlqP","7t3wd0Fuz7"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","sdazOOVcIp","COABgblf1C","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"≮⫘↔1100100101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6512","layer":4},{"info":"compute unary expreesion, input=6512, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-110495","layer":3},{"info":"compute unary expreesion, input=-110495, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=221675","layer":2},{"info":"number node, value=7787","layer":4},{"info":"compute unary expreesion, input=7787, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7514","layer":3},{"info":"number node, value=2350","layer":4},{"info":"number node, value=7243","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=7243, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-7514, right_input=113, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=87801","layer":2},{"info":"compute binary expreesion, left_input=221675, right_input=87801, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute unary expreesion, input=-244, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=805","layer":0}],"base":2,"result_base":2,"text":"⨡↴((⪸≮⫘↔1100101110000)⊎←↗)⇍⊗((⨑⩽⪐≮⫘↔1111001101011)⇮⋭≮⫘↔100100101110⋥⋵⩄≮⫘↔1110001001011)=≮⫘↔1100100101","reverse_text":"≮⫘↔1100100101=⨡↴((⪸≮⫘↔1100101110000)⊎←↗)⇍⊗((⨑⩽⪐≮⫘↔1111001101011)⇮⋭≮⫘↔100100101110⋥⋵⩄≮⫘↔1110001001011)","cot":[{"info":"⪸≮⫘↔1100101110000=≮⫘↔-11010111110011111","layer":3},{"info":"≮⫘↔-11010111110011111⊎←↗=≮⫘↔110110000111101011","layer":2},{"info":"⨑⩽⪐≮⫘↔1111001101011=≮⫘↔-1110101011010","layer":3},{"info":"≮⫘↔100100101110⋥⋵⩄≮⫘↔1110001001011=≮⫘↔1110001","layer":3},{"info":"≮⫘↔-1110101011010⇮⋭≮⫘↔1110001=≮⫘↔10101011011111001","layer":2},{"info":"≮⫘↔110110000111101011⇍⊗≮⫘↔10101011011111001=≮⫘↔-11110100","layer":1},{"info":"⨡↴≮⫘↔-11110100=≮⫘↔1100100101","layer":0}]}
{"id":41,"expression_no_base_symbol":"($1450$⫁$7992$∑⇟⊟($5525$%$2095$))⩌⋺(($7847$∙∹∝$6175$)∙⊟$3522$⩵∡$2097$)⨸⪁((∑⇻≧(↸⊣$7799$))⫦⪉($3996$⨳⩥⨓$2340$)∌($1149$%$2353$))","expression":"(≮⫘↔10110101010⫁≮⫘↔1111100111000∑⇟⊟(≮⫘↔1010110010101%≮⫘↔100000101111))⩌⋺((≮⫘↔1111010100111∙∹∝≮⫘↔1100000011111)∙⊟≮⫘↔110111000010⩵∡≮⫘↔100000110001)⨸⪁((∑⇻≧(↸⊣≮⫘↔1111001110111))⫦⪉(≮⫘↔111110011100⨳⩥⨓≮⫘↔100100100100)∌(≮⫘↔10001111101%≮⫘↔100100110001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":235,"operation_count":14,"complexity_ratio":16.785714285714285,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1450,"base":2},"right_expr":{"type":"numeric_atoms","value":7992,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5525,"base":2},"right_expr":{"type":"numeric_atoms","value":2095,"base":2}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":7847,"base":2},"right_expr":{"type":"numeric_atoms","value":6175,"base":2}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3522,"base":2},"right_expr":{"type":"numeric_atoms","value":2097,"base":2}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":7799,"base":2}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3996,"base":2},"right_expr":{"type":"numeric_atoms","value":2340,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1149,"base":2},"right_expr":{"type":"numeric_atoms","value":2353,"base":2}}}}},"used_operators":["g55IO6H4Gj","g7Hmc5v1ko","U7g4x0WXJJ","0ajvFaJAv0","k8jYdgA6NY","SxTAKzQCrw","HmxsFra2vL","Y7wcNGrDQJ","wscyQdcy20","l1M9WJ3V7u","wztAlM01eG","8cLx32lpNA","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1450","layer":4},{"info":"number node, value=7992","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=7992, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=5525","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=5525, right_input=2095, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1335","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1335, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7847","layer":4},{"info":"number node, value=6175","layer":4},{"info":"compute binary expreesion, left_input=7847, right_input=6175, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3522","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=3522, right_input=2097, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5068","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5068, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22285, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=7799","layer":4},{"info":"compute unary expreesion, input=7799, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-7512","layer":3},{"info":"compute unary expreesion, input=-7512, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=7338","layer":2},{"info":"number node, value=3996","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=3996, right_input=2340, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1656","layer":3},{"info":"number node, value=1149","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=2353, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1149","layer":3},{"info":"compute binary expreesion, left_input=-1656, right_input=1149, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1656","layer":2},{"info":"compute binary expreesion, left_input=7338, right_input=-1656, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9776","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9776, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10110101010⫁≮⫘↔1111100111000∑⇟⊟(≮⫘↔1010110010101%≮⫘↔100000101111))⩌⋺((≮⫘↔1111010100111∙∹∝≮⫘↔1100000011111)∙⊟≮⫘↔110111000010⩵∡≮⫘↔100000110001)⨸⪁((∑⇻≧(↸⊣≮⫘↔1111001110111))⫦⪉(≮⫘↔111110011100⨳⩥⨓≮⫘↔100100100100)∌(≮⫘↔10001111101%≮⫘↔100100110001))=NaN","reverse_text":"NaN=(≮⫘↔10110101010⫁≮⫘↔1111100111000∑⇟⊟(≮⫘↔1010110010101%≮⫘↔100000101111))⩌⋺((≮⫘↔1111010100111∙∹∝≮⫘↔1100000011111)∙⊟≮⫘↔110111000010⩵∡≮⫘↔100000110001)⨸⪁((∑⇻≧(↸⊣≮⫘↔1111001110111))⫦⪉(≮⫘↔111110011100⨳⩥⨓≮⫘↔100100100100)∌(≮⫘↔10001111101%≮⫘↔100100110001))","cot":[{"info":"≮⫘↔10110101010⫁≮⫘↔1111100111000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1010110010101%≮⫘↔100000101111=≮⫘↔10100110111","layer":3},{"info":"≮⫘↔10100000∑⇟⊟≮⫘↔10100110111=NaN","layer":2},{"info":"≮⫘↔1111010100111∙∹∝≮⫘↔1100000011111=≮⫘↔0","layer":3},{"info":"≮⫘↔110111000010⩵∡≮⫘↔100000110001=≮⫘↔-1001111001100","layer":3},{"info":"≮⫘↔0∙⊟≮⫘↔-1001111001100=≮⫘↔101011100001101","layer":2},{"info":"NaN⩌⋺≮⫘↔101011100001101=NaN","layer":1},{"info":"↸⊣≮⫘↔1111001110111=≮⫘↔-1110101011000","layer":3},{"info":"∑⇻≧≮⫘↔-1110101011000=≮⫘↔1110010101010","layer":2},{"info":"≮⫘↔111110011100⨳⩥⨓≮⫘↔100100100100=≮⫘↔-11001111000","layer":3},{"info":"≮⫘↔10001111101%≮⫘↔100100110001=≮⫘↔10001111101","layer":3},{"info":"≮⫘↔-11001111000∌≮⫘↔10001111101=≮⫘↔-11001111000","layer":2},{"info":"≮⫘↔1110010101010⫦⪉≮⫘↔-11001111000=≮⫘↔-10011000110000","layer":1},{"info":"NaN⨸⪁≮⫘↔-10011000110000=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"⇋↷((⋼∭⪍$4309$)⊋$4401$≹⇙⪍$2917$)⪟⇏(($4119$⋭≵$8945$)⫸⇳(≤/$3554$))","expression":"⇋↷((⋼∭⪍≮⫘↔1000011010101)⊋≮⫘↔1000100110001≹⇙⪍≮⫘↔101101100101)⪟⇏((≮⫘↔1000000010111⋭≵≮⫘↔10001011110001)⫸⇳(≤/≮⫘↔110111100010))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":163,"operation_count":8,"complexity_ratio":20.375,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":4309,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4401,"base":2},"right_expr":{"type":"numeric_atoms","value":2917,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4119,"base":2},"right_expr":{"type":"numeric_atoms","value":8945,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3554,"base":2}}}}},"used_operators":["SWo3A1KBJH","GODebY97qR","W4tP9CfskL","DbCuESL50I","AHs5Up7iyr","gx7XJ7hdpj","jBncVCNhdl","eLAdDNolq6"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","dWAJyo7jo9","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4309","layer":4},{"info":"compute unary expreesion, input=4309, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-15496","layer":3},{"info":"number node, value=4401","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=4401, right_input=2917, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15496, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"number node, value=4119","layer":4},{"info":"number node, value=8945","layer":4},{"info":"compute binary expreesion, left_input=4119, right_input=8945, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=3554","layer":4},{"info":"compute unary expreesion, input=3554, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3070","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-3070, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⇋↷((⋼∭⪍≮⫘↔1000011010101)⊋≮⫘↔1000100110001≹⇙⪍≮⫘↔101101100101)⪟⇏((≮⫘↔1000000010111⋭≵≮⫘↔10001011110001)⫸⇳(≤/≮⫘↔110111100010))=≮⫘↔0","reverse_text":"≮⫘↔0=⇋↷((⋼∭⪍≮⫘↔1000011010101)⊋≮⫘↔1000100110001≹⇙⪍≮⫘↔101101100101)⪟⇏((≮⫘↔1000000010111⋭≵≮⫘↔10001011110001)⫸⇳(≤/≮⫘↔110111100010))","cot":[{"info":"⋼∭⪍≮⫘↔1000011010101=≮⫘↔-11110010001000","layer":3},{"info":"≮⫘↔1000100110001≹⇙⪍≮⫘↔101101100101=NaN","layer":3},{"info":"≮⫘↔-11110010001000⊋NaN=NaN","layer":2},{"info":"≮⫘↔1000000010111⋭≵≮⫘↔10001011110001=≮⫘↔1000011","layer":3},{"info":"≤/≮⫘↔110111100010=≮⫘↔-101111111110","layer":3},{"info":"≮⫘↔1000011⫸⇳≮⫘↔-101111111110=≮⫘↔0","layer":2},{"info":"NaN⪟⇏≮⫘↔0=≮⫘↔0","layer":1},{"info":"⇋↷≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":43,"expression_no_base_symbol":"(($5239$⩵∡$3183$)⫯⪬∳(⨡↴$3362$))⪝((⇖⫷⫕$3149$)⪁($3099$↑))↓(($4288$⩵∡$3957$)⨎($3684$↫))⨜⨶((⊑$1206$)⪭≯$1545$⫁$2230$)","expression":"((≮⫘↔1010001110111⩵∡≮⫘↔110001101111)⫯⪬∳(⨡↴≮⫘↔110100100010))⪝((⇖⫷⫕≮⫘↔110001001101)⪁(≮⫘↔110000011011↑))↓((≮⫘↔1000011000000⩵∡≮⫘↔111101110101)⨎(≮⫘↔111001100100↫))⨜⨶((⊑≮⫘↔10010110110)⪭≯≮⫘↔11000001001⫁≮⫘↔100010110110)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":794133,"operation_count":15,"complexity_ratio":52942.2,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":5239,"base":2},"right_expr":{"type":"numeric_atoms","value":3183,"base":2}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3362,"base":2}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3149,"base":2}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":3099,"base":2}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4288,"base":2},"right_expr":{"type":"numeric_atoms","value":3957,"base":2}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":3684,"base":2}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1206,"base":2}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1545,"base":2},"right_expr":{"type":"numeric_atoms","value":2230,"base":2}}}}},"used_operators":["Af076pWI7l","wicAB68Tmb","d7ASUq0ydm","Y7wcNGrDQJ","liw5iZPkLH","I7sXao9hZE","UHmRx3INFg","BThhyOhh10","HiPekx5b7W","rJVOvQCfKK","uPb5QRN0te","XAx5wpdLa6","IkUmn0D7oy","0ajvFaJAv0"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","P8v4zCKN1o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","cHh1gJQ2o6","AHs5Up7iyr"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5239","layer":4},{"info":"number node, value=3183","layer":4},{"info":"compute binary expreesion, left_input=5239, right_input=3183, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-7416","layer":3},{"info":"number node, value=3362","layer":4},{"info":"compute unary expreesion, input=3362, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4411","layer":3},{"info":"compute binary expreesion, left_input=-7416, right_input=4411, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=21775","layer":2},{"info":"number node, value=3149","layer":4},{"info":"compute unary expreesion, input=3149, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=3099","layer":4},{"info":"compute unary expreesion, input=3099, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=222, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=21775, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"number node, value=4288","layer":4},{"info":"number node, value=3957","layer":4},{"info":"compute binary expreesion, left_input=4288, right_input=3957, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4740","layer":3},{"info":"number node, value=3684","layer":4},{"info":"compute unary expreesion, input=3684, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-4740, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":2},{"info":"number node, value=1206","layer":4},{"info":"compute unary expreesion, input=1206, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=2230, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010001110111⩵∡≮⫘↔110001101111)⫯⪬∳(⨡↴≮⫘↔110100100010))⪝((⇖⫷⫕≮⫘↔110001001101)⪁(≮⫘↔110000011011↑))↓((≮⫘↔1000011000000⩵∡≮⫘↔111101110101)⨎(≮⫘↔111001100100↫))⨜⨶((⊑≮⫘↔10010110110)⪭≯≮⫘↔11000001001⫁≮⫘↔100010110110)=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=((≮⫘↔1010001110111⩵∡≮⫘↔110001101111)⫯⪬∳(⨡↴≮⫘↔110100100010))⪝((⇖⫷⫕≮⫘↔110001001101)⪁(≮⫘↔110000011011↑))↓((≮⫘↔1000011000000⩵∡≮⫘↔111101110101)⨎(≮⫘↔111001100100↫))⨜⨶((⊑≮⫘↔10010110110)⪭≯≮⫘↔11000001001⫁≮⫘↔100010110110)","cot":[{"info":"≮⫘↔1010001110111⩵∡≮⫘↔110001101111=≮⫘↔-1110011111000","layer":3},{"info":"⨡↴≮⫘↔110100100010=≮⫘↔1000100111011","layer":3},{"info":"≮⫘↔-1110011111000⫯⪬∳≮⫘↔1000100111011=≮⫘↔101010100001111","layer":2},{"info":"⇖⫷⫕≮⫘↔110001001101=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔110000011011↑=≮⫘↔11011110","layer":3},{"info":"≮⫘↔101100000110⪁≮⫘↔11011110=NaN","layer":2},{"info":"≮⫘↔101010100001111⪝NaN=NaN","layer":1},{"info":"≮⫘↔1000011000000⩵∡≮⫘↔111101110101=≮⫘↔-1001010000100","layer":3},{"info":"≮⫘↔111001100100↫=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1001010000100⨎≮⫘↔10100000=≮⫘↔10100000","layer":2},{"info":"⊑≮⫘↔10010110110=≮⫘↔11000000","layer":3},{"info":"≮⫘↔11000001001⫁≮⫘↔100010110110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11000000⪭≯≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔10100000⨜⨶NaN=NaN","layer":1},{"info":"NaN↓NaN=≮⫘↔-10000110","layer":0}]}
{"id":44,"expression_no_base_symbol":"⊤⊝($6071$↬$6880$⇡)∣($1063$⩘$1124$⊍⩺⋍(↩⪖$2207$))","expression":"⊤⊝(≮⫘↔1011110110111↬≮⫘↔1101011100000⇡)∣(≮⫘↔10000100111⩘≮⫘↔10001100100⊍⩺⋍(↩⪖≮⫘↔100010011111))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":409,"operation_count":7,"complexity_ratio":58.42857142857143,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6071,"base":2},"right_expr":{"type":"numeric_atoms","value":6880,"base":2}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":1124,"base":2}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2207,"base":2}}}}},"used_operators":["rXAclfmB4M","PPChnnnBFF","UqFzSgLMvQ","B5M0gjZbta","OXDGMFPWZM","cHh1gJQ2o6","fG6uBQFnGz"],"dependent_operators":["sdazOOVcIp","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","rGHVDoGpnC","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6071","layer":4},{"info":"number node, value=6880","layer":4},{"info":"compute binary expreesion, left_input=6071, right_input=6880, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=nan","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1124, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-16224","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-16224, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊤⊝(≮⫘↔1011110110111↬≮⫘↔1101011100000⇡)∣(≮⫘↔10000100111⩘≮⫘↔10001100100⊍⩺⋍(↩⪖≮⫘↔100010011111))=NaN","reverse_text":"NaN=⊤⊝(≮⫘↔1011110110111↬≮⫘↔1101011100000⇡)∣(≮⫘↔10000100111⩘≮⫘↔10001100100⊍⩺⋍(↩⪖≮⫘↔100010011111))","cot":[{"info":"≮⫘↔1011110110111↬≮⫘↔1101011100000=NaN","layer":3},{"info":"NaN⇡=NaN","layer":2},{"info":"≮⫘↔10000100111⩘≮⫘↔10001100100=≮⫘↔10100000","layer":3},{"info":"↩⪖≮⫘↔100010011111=≮⫘↔-11111101100000","layer":3},{"info":"≮⫘↔10100000⊍⩺⋍≮⫘↔-11111101100000=NaN","layer":2},{"info":"NaN∣NaN=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"(((⪸$2987$)⊋≦⊧(⫖→$5318$))≄⊠$4895$⊕∕$1023$⋥⋵⩄(⇖$1816$))≄⊠(($3157$≚⊃≕$1181$≬⋮($3536$∀⊥⇻))⫰⋱$1842$∼$4659$⪍↜⋙(≪$1078$))","expression":"(((⪸≮⫘↔101110101011)⊋≦⊧(⫖→≮⫘↔1010011000110))≄⊠≮⫘↔1001100011111⊕∕≮⫘↔1111111111⋥⋵⩄(⇖≮⫘↔11100011000))≄⊠((≮⫘↔110001010101≚⊃≕≮⫘↔10010011101≬⋮(≮⫘↔110111010000∀⊥⇻))⫰⋱≮⫘↔11100110010∼≮⫘↔1001000110011⪍↜⋙(≪≮⫘↔10000110110))","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":5916,"operation_count":15,"complexity_ratio":394.4,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2987,"base":2}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":5318,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4895,"base":2},"right_expr":{"type":"numeric_atoms","value":1023,"base":2}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1816,"base":2}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3157,"base":2},"right_expr":{"type":"numeric_atoms","value":1181,"base":2}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":3536,"base":2}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1842,"base":2},"right_expr":{"type":"numeric_atoms","value":4659,"base":2}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1078,"base":2}}}}},"used_operators":["vXNesLlMH1","oRDoc9rAEX","86A5ENbKR9","U4ylXWHChL","7t3wd0Fuz7","9cloC0Ngie","tfWHHpNKUN","6o9Blt3TJ6","kbkesczE7y","Bmrmz2XGnR","k4iM1060OG","L05ObWFQCd","DyGG3AbaNP","Qtd6bqUJcN"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2DQ55sFlQl","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"≮⫘↔10111011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2987","layer":4},{"info":"compute unary expreesion, input=2987, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-50570","layer":3},{"info":"number node, value=5318","layer":4},{"info":"compute unary expreesion, input=5318, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-50570, right_input=177, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=4895","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=4895, right_input=1023, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4895","layer":3},{"info":"number node, value=1816","layer":4},{"info":"compute unary expreesion, input=1816, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4895, right_input=160, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=113, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=3157","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=1181, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=3536","layer":4},{"info":"compute unary expreesion, input=3536, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1842","layer":4},{"info":"number node, value=4659","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=4659, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=913, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":2,"result_base":2,"text":"(((⪸≮⫘↔101110101011)⊋≦⊧(⫖→≮⫘↔1010011000110))≄⊠≮⫘↔1001100011111⊕∕≮⫘↔1111111111⋥⋵⩄(⇖≮⫘↔11100011000))≄⊠((≮⫘↔110001010101≚⊃≕≮⫘↔10010011101≬⋮(≮⫘↔110111010000∀⊥⇻))⫰⋱≮⫘↔11100110010∼≮⫘↔1001000110011⪍↜⋙(≪≮⫘↔10000110110))=≮⫘↔10111011100","reverse_text":"≮⫘↔10111011100=(((⪸≮⫘↔101110101011)⊋≦⊧(⫖→≮⫘↔1010011000110))≄⊠≮⫘↔1001100011111⊕∕≮⫘↔1111111111⋥⋵⩄(⇖≮⫘↔11100011000))≄⊠((≮⫘↔110001010101≚⊃≕≮⫘↔10010011101≬⋮(≮⫘↔110111010000∀⊥⇻))⫰⋱≮⫘↔11100110010∼≮⫘↔1001000110011⪍↜⋙(≪≮⫘↔10000110110))","cot":[{"info":"⪸≮⫘↔101110101011=≮⫘↔-1100010110001010","layer":3},{"info":"⫖→≮⫘↔1010011000110=≮⫘↔10110001","layer":3},{"info":"≮⫘↔-1100010110001010⊋≦⊧≮⫘↔10110001=≮⫘↔11000000","layer":2},{"info":"≮⫘↔1001100011111⊕∕≮⫘↔1111111111=≮⫘↔1001100011111","layer":3},{"info":"⇖≮⫘↔11100011000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1001100011111⋥⋵⩄≮⫘↔10100000=≮⫘↔1110001","layer":2},{"info":"≮⫘↔11000000≄⊠≮⫘↔1110001=≮⫘↔10111011100","layer":1},{"info":"≮⫘↔110001010101≚⊃≕≮⫘↔10010011101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔110111010000∀⊥⇻=≮⫘↔0","layer":3},{"info":"≮⫘↔1000011≬⋮≮⫘↔0=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔11100110010∼≮⫘↔1001000110011=NaN","layer":3},{"info":"≪≮⫘↔10000110110=≮⫘↔1110010001","layer":3},{"info":"NaN⪍↜⋙≮⫘↔1110010001=NaN","layer":2},{"info":"≮⫘↔1101100100⫰⋱NaN=NaN","layer":1},{"info":"≮⫘↔10111011100≄⊠NaN=≮⫘↔10111011100","layer":0}]}
{"id":46,"expression_no_base_symbol":"(($7234$⪛⫼$4436$⇼⇔∾$2731$⊨$6838$)⨒($1000$∑⇟⊟$6275$∽(⫛⫱⨽$5416$)))⨹","expression":"((≮⫘↔1110001000010⪛⫼≮⫘↔1000101010100⇼⇔∾≮⫘↔101010101011⊨≮⫘↔1101010110110)⨒(≮⫘↔1111101000∑⇟⊟≮⫘↔1100010000011∽(⫛⫱⨽≮⫘↔1010100101000)))⨹","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4889,"operation_count":8,"complexity_ratio":611.125,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":7234,"base":2},"right_expr":{"type":"numeric_atoms","value":4436,"base":2}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2731,"base":2},"right_expr":{"type":"numeric_atoms","value":6838,"base":2}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1000,"base":2},"right_expr":{"type":"numeric_atoms","value":6275,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5416,"base":2}}}}},"used_operators":["UnCoSGIALn","y75s1iXyHd","tifHPKVTfV","hyuBjUqXlG","vg4gO5BX6G","y4ImoPnbV5","U7g4x0WXJJ","DlLNRPXxWL"],"dependent_operators":["mp7IySMOzn","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","NTOWxs364D","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7234","layer":4},{"info":"number node, value=4436","layer":4},{"info":"compute binary expreesion, left_input=7234, right_input=4436, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=2731","layer":4},{"info":"number node, value=6838","layer":4},{"info":"compute binary expreesion, left_input=2731, right_input=6838, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=11955","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=11955, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=10987","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=6275","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=6275, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5416","layer":4},{"info":"compute unary expreesion, input=5416, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10987, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110001000010⪛⫼≮⫘↔1000101010100⇼⇔∾≮⫘↔101010101011⊨≮⫘↔1101010110110)⨒(≮⫘↔1111101000∑⇟⊟≮⫘↔1100010000011∽(⫛⫱⨽≮⫘↔1010100101000)))⨹=NaN","reverse_text":"NaN=((≮⫘↔1110001000010⪛⫼≮⫘↔1000101010100⇼⇔∾≮⫘↔101010101011⊨≮⫘↔1101010110110)⨒(≮⫘↔1111101000∑⇟⊟≮⫘↔1100010000011∽(⫛⫱⨽≮⫘↔1010100101000)))⨹","cot":[{"info":"≮⫘↔1110001000010⪛⫼≮⫘↔1000101010100=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔101010101011⊨≮⫘↔1101010110110=≮⫘↔10111010110011","layer":3},{"info":"≮⫘↔1111001000⇼⇔∾≮⫘↔10111010110011=≮⫘↔10101011101011","layer":2},{"info":"≮⫘↔1111101000∑⇟⊟≮⫘↔1100010000011=NaN","layer":3},{"info":"⫛⫱⨽≮⫘↔1010100101000=≮⫘↔0","layer":3},{"info":"NaN∽≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10101011101011⨒NaN=NaN","layer":1},{"info":"NaN⨹=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"∓⪦(($2565$⋹)∕⩚$1134$≒∊$4500$)⩖⊿($2040$⨸$1685$⊢(↣≠⋷$1666$))","expression":"∓⪦((≮⫘↔101000000101⋹)∕⩚≮⫘↔10001101110≒∊≮⫘↔1000110010100)⩖⊿(≮⫘↔11111111000⨸≮⫘↔11010010101⊢(↣≠⋷≮⫘↔11010000010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2317,"operation_count":8,"complexity_ratio":289.625,"tree":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":2565,"base":2}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1134,"base":2},"right_expr":{"type":"numeric_atoms","value":4500,"base":2}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2040,"base":2},"right_expr":{"type":"numeric_atoms","value":1685,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1666,"base":2}}}}},"used_operators":["D309nIvmXG","RZ5CV9rWsJ","z9ffQ9n5Zr","opAxDRczMr","5KTvxBwnZo","5twsqlHp2o","KmoU8R5UQR","Asc51vEJeQ"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","XhwjNDsVaA","AHs5Up7iyr"],"result":"≮⫘↔100011110001010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2565","layer":4},{"info":"compute unary expreesion, input=2565, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=4500","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=4500, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-650","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=-650, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=2040","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=1685, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4080","layer":3},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4080, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8404","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=-8404, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=18722","layer":1},{"info":"compute unary expreesion, input=18722, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=18314","layer":0}],"base":2,"result_base":2,"text":"∓⪦((≮⫘↔101000000101⋹)∕⩚≮⫘↔10001101110≒∊≮⫘↔1000110010100)⩖⊿(≮⫘↔11111111000⨸≮⫘↔11010010101⊢(↣≠⋷≮⫘↔11010000010))=≮⫘↔100011110001010","reverse_text":"≮⫘↔100011110001010=∓⪦((≮⫘↔101000000101⋹)∕⩚≮⫘↔10001101110≒∊≮⫘↔1000110010100)⩖⊿(≮⫘↔11111111000⨸≮⫘↔11010010101⊢(↣≠⋷≮⫘↔11010000010))","cot":[{"info":"≮⫘↔101000000101⋹=≮⫘↔-10100","layer":3},{"info":"≮⫘↔10001101110≒∊≮⫘↔1000110010100=≮⫘↔-1010001010","layer":3},{"info":"≮⫘↔-10100∕⩚≮⫘↔-1010001010=≮⫘↔-111100111","layer":2},{"info":"≮⫘↔11111111000⨸≮⫘↔11010010101=≮⫘↔111111110000","layer":3},{"info":"↣≠⋷≮⫘↔11010000010=NaN","layer":3},{"info":"≮⫘↔111111110000⊢NaN=≮⫘↔-10000011010100","layer":2},{"info":"≮⫘↔-111100111⩖⊿≮⫘↔-10000011010100=≮⫘↔100100100100010","layer":1},{"info":"∓⪦≮⫘↔100100100100010=≮⫘↔100011110001010","layer":0}]}
{"id":48,"expression_no_base_symbol":"(($1537$⊱⇼⊻$3628$⪢($1581$⊉≛↸$1517$))⊧↖)↦","expression":"((≮⫘↔11000000001⊱⇼⊻≮⫘↔111000101100⪢(≮⫘↔11000101101⊉≛↸≮⫘↔10111101101))⊧↖)↦","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7778,"operation_count":5,"complexity_ratio":1555.6,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1537,"base":2},"right_expr":{"type":"numeric_atoms","value":3628,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1581,"base":2},"right_expr":{"type":"numeric_atoms","value":1517,"base":2}}}}},"used_operators":["fFznvYxMfW","EKiFHuOFxO","dWAJyo7jo9","FyVja0WsTP","DZ8iAZOCBD"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1537","layer":4},{"info":"number node, value=3628","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=3628, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1581","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=1517, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3162","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=3162, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11000000001⊱⇼⊻≮⫘↔111000101100⪢(≮⫘↔11000101101⊉≛↸≮⫘↔10111101101))⊧↖)↦=NaN","reverse_text":"NaN=((≮⫘↔11000000001⊱⇼⊻≮⫘↔111000101100⪢(≮⫘↔11000101101⊉≛↸≮⫘↔10111101101))⊧↖)↦","cot":[{"info":"≮⫘↔11000000001⊱⇼⊻≮⫘↔111000101100=≮⫘↔110110010","layer":3},{"info":"≮⫘↔11000101101⊉≛↸≮⫘↔10111101101=≮⫘↔110001011010","layer":3},{"info":"≮⫘↔110110010⪢≮⫘↔110001011010=NaN","layer":2},{"info":"NaN⊧↖=NaN","layer":1},{"info":"NaN↦=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"((($1595$⫸⊐$1703$)⨓($2872$≒∊$1360$))⩘((∷≠$1875$)⫸⇳(⇵⪽$1198$)))∳⫺(⊙↵-($1396$≁↽≥$3176$⪇≇⋚$1519$⊝⪿⪼$1685$))","expression":"(((≮⫘↔11000111011⫸⊐≮⫘↔11010100111)⨓(≮⫘↔101100111000≒∊≮⫘↔10101010000))⩘((∷≠≮⫘↔11101010011)⫸⇳(⇵⪽≮⫘↔10010101110)))∳⫺(⊙↵-(≮⫘↔10101110100≁↽≥≮⫘↔110001101000⪇≇⋚≮⫘↔10111101111⊝⪿⪼≮⫘↔11010010101))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2675,"operation_count":12,"complexity_ratio":222.91666666666666,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1595,"base":2},"right_expr":{"type":"numeric_atoms","value":1703,"base":2}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2872,"base":2},"right_expr":{"type":"numeric_atoms","value":1360,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1875,"base":2}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1198,"base":2}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1396,"base":2},"right_expr":{"type":"numeric_atoms","value":3176,"base":2}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1519,"base":2},"right_expr":{"type":"numeric_atoms","value":1685,"base":2}}}}},"used_operators":["AzXXKTstlj","cHh1gJQ2o6","3ViojmjbAp","mqXw5SEYmG","5KTvxBwnZo","gx7XJ7hdpj","QiR2Oyf5Xj","ZGCBLdVRRX","oWn0xqSxBt","3sJ7IOPOlU","ncHt1X6cMc","3Oe9XWJUTD"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","7j4O788W3g","U7g4x0WXJJ","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"≮⫘↔-100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1703, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6687","layer":3},{"info":"number node, value=2872","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=1360, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2388","layer":3},{"info":"compute binary expreesion, left_input=6687, right_input=-2388, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2385","layer":2},{"info":"number node, value=1875","layer":4},{"info":"compute unary expreesion, input=1875, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1875","layer":3},{"info":"number node, value=1198","layer":4},{"info":"compute unary expreesion, input=1198, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1875, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2385, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=1396","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=3176, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=30872","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1685, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=26221","layer":3},{"info":"compute binary expreesion, left_input=30872, right_input=26221, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11000111011⫸⊐≮⫘↔11010100111)⨓(≮⫘↔101100111000≒∊≮⫘↔10101010000))⩘((∷≠≮⫘↔11101010011)⫸⇳(⇵⪽≮⫘↔10010101110)))∳⫺(⊙↵-(≮⫘↔10101110100≁↽≥≮⫘↔110001101000⪇≇⋚≮⫘↔10111101111⊝⪿⪼≮⫘↔11010010101))=≮⫘↔-100000100","reverse_text":"≮⫘↔-100000100=(((≮⫘↔11000111011⫸⊐≮⫘↔11010100111)⨓(≮⫘↔101100111000≒∊≮⫘↔10101010000))⩘((∷≠≮⫘↔11101010011)⫸⇳(⇵⪽≮⫘↔10010101110)))∳⫺(⊙↵-(≮⫘↔10101110100≁↽≥≮⫘↔110001101000⪇≇⋚≮⫘↔10111101111⊝⪿⪼≮⫘↔11010010101))","cot":[{"info":"≮⫘↔11000111011⫸⊐≮⫘↔11010100111=≮⫘↔1101000011111","layer":3},{"info":"≮⫘↔101100111000≒∊≮⫘↔10101010000=≮⫘↔-100101010100","layer":3},{"info":"≮⫘↔1101000011111⨓≮⫘↔-100101010100=≮⫘↔100101010001","layer":2},{"info":"∷≠≮⫘↔11101010011=≮⫘↔11101010011","layer":3},{"info":"⇵⪽≮⫘↔10010101110=NaN","layer":3},{"info":"≮⫘↔11101010011⫸⇳NaN=≮⫘↔0","layer":2},{"info":"≮⫘↔100101010001⩘≮⫘↔0=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10101110100≁↽≥≮⫘↔110001101000=≮⫘↔111100010011000","layer":3},{"info":"≮⫘↔10111101111⊝⪿⪼≮⫘↔11010010101=≮⫘↔110011001101101","layer":3},{"info":"≮⫘↔111100010011000⪇≇⋚≮⫘↔110011001101101=≮⫘↔0","layer":2},{"info":"⊙↵-≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10100000∳⫺≮⫘↔0=≮⫘↔-100000100","layer":0}]}
{"id":50,"expression_no_base_symbol":"⩎⋉(($1091$⊍⩺⋍$1680$)⫉⨲⊜$5668$⊉↱≁$4014$⪢((⊬↢$5110$)∀⇚≩$1806$≁$7897$))","expression":"⩎⋉((≮⫘↔10001000011⊍⩺⋍≮⫘↔11010010000)⫉⨲⊜≮⫘↔1011000100100⊉↱≁≮⫘↔111110101110⪢((⊬↢≮⫘↔1001111110110)∀⇚≩≮⫘↔11100001110≁≮⫘↔1111011011001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7053,"operation_count":8,"complexity_ratio":881.625,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1091,"base":2},"right_expr":{"type":"numeric_atoms","value":1680,"base":2}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":5668,"base":2},"right_expr":{"type":"numeric_atoms","value":4014,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":5110,"base":2}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1806,"base":2},"right_expr":{"type":"numeric_atoms","value":7897,"base":2}}}}},"used_operators":["FlXk3pOYe8","dWAJyo7jo9","WhqkvtTD3t","OXDGMFPWZM","w2P8NbNXyL","LRNGc0VcxI","WPoGxAaPR1","8N2wDY1A35"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","k8jYdgA6NY","eewbuw0ToL","zVYPLywUTj","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","X99M06cbEe","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=1680, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=5668","layer":4},{"info":"number node, value=4014","layer":4},{"info":"compute binary expreesion, left_input=5668, right_input=4014, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=32544","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=32544, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"number node, value=5110","layer":4},{"info":"compute unary expreesion, input=5110, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1806","layer":4},{"info":"number node, value=7897","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=7897, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=176327","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=176327, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩎⋉((≮⫘↔10001000011⊍⩺⋍≮⫘↔11010010000)⫉⨲⊜≮⫘↔1011000100100⊉↱≁≮⫘↔111110101110⪢((⊬↢≮⫘↔1001111110110)∀⇚≩≮⫘↔11100001110≁≮⫘↔1111011011001))=NaN","reverse_text":"NaN=⩎⋉((≮⫘↔10001000011⊍⩺⋍≮⫘↔11010010000)⫉⨲⊜≮⫘↔1011000100100⊉↱≁≮⫘↔111110101110⪢((⊬↢≮⫘↔1001111110110)∀⇚≩≮⫘↔11100001110≁≮⫘↔1111011011001))","cot":[{"info":"≮⫘↔10001000011⊍⩺⋍≮⫘↔11010010000=NaN","layer":3},{"info":"≮⫘↔1011000100100⊉↱≁≮⫘↔111110101110=≮⫘↔111111100100000","layer":3},{"info":"NaN⫉⨲⊜≮⫘↔111111100100000=NaN","layer":2},{"info":"⊬↢≮⫘↔1001111110110=≮⫘↔11011010","layer":3},{"info":"≮⫘↔11100001110≁≮⫘↔1111011011001=≮⫘↔101011000011000111","layer":3},{"info":"≮⫘↔11011010∀⇚≩≮⫘↔101011000011000111=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⩎⋉NaN=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"⫇($3183$∑⇟⊟$3392$⇴∐(≱⇩⩕$2643$)⇟⨁⪰)","expression":"⫇(≮⫘↔110001101111∑⇟⊟≮⫘↔110101000000⇴∐(≱⇩⩕≮⫘↔101001010011)⇟⨁⪰)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12835,"operation_count":5,"complexity_ratio":2567.0,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3183,"base":2},"right_expr":{"type":"numeric_atoms","value":3392,"base":2}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2643,"base":2}}}}},"used_operators":["YjI8oCXuph","BX1lVwlMe0","HnzytWxmAO","U7g4x0WXJJ","3DZMoQKiUl"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","2DDjHMKMc0","xUOZtlo3hN","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3183","layer":4},{"info":"number node, value=3392","layer":4},{"info":"compute binary expreesion, left_input=3183, right_input=3392, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2643","layer":4},{"info":"compute unary expreesion, input=2643, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫇(≮⫘↔110001101111∑⇟⊟≮⫘↔110101000000⇴∐(≱⇩⩕≮⫘↔101001010011)⇟⨁⪰)=NaN","reverse_text":"NaN=⫇(≮⫘↔110001101111∑⇟⊟≮⫘↔110101000000⇴∐(≱⇩⩕≮⫘↔101001010011)⇟⨁⪰)","cot":[{"info":"≮⫘↔110001101111∑⇟⊟≮⫘↔110101000000=NaN","layer":3},{"info":"≱⇩⩕≮⫘↔101001010011=≮⫘↔1110001","layer":3},{"info":"NaN⇴∐≮⫘↔1110001=NaN","layer":2},{"info":"NaN⇟⨁⪰=NaN","layer":1},{"info":"⫇NaN=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"(($5606$⊝⪿⪼$3281$)∌↝($2055$⪒$3105$))↢(($7143$⋣⋖$4380$)⫲⨊)↼⊘⨖(⪸(⋃(⊬↢$2302$)))","expression":"((≮⫘↔1010111100110⊝⪿⪼≮⫘↔110011010001)∌↝(≮⫘↔100000000111⪒≮⫘↔110000100001))↢((≮⫘↔1101111100111⋣⋖≮⫘↔1000100011100)⫲⨊)↼⊘⨖(⪸(⋃(⊬↢≮⫘↔100011111110)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2486,"operation_count":10,"complexity_ratio":248.6,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5606,"base":2},"right_expr":{"type":"numeric_atoms","value":3281,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2055,"base":2},"right_expr":{"type":"numeric_atoms","value":3105,"base":2}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":7143,"base":2},"right_expr":{"type":"numeric_atoms","value":4380,"base":2}}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2302,"base":2}}}}},"used_operators":["bPywburJMS","WR6HLWljOP","9Isq31Ruls","3Oe9XWJUTD","f6k1SAg4EE","CArV6hThFE","J0M6qkBnIM","86A5ENbKR9","3mBM5G4a3l","WPoGxAaPR1"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","g55IO6H4Gj","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"≮⫘↔-100011010110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5606","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=5606, right_input=3281, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=76160","layer":3},{"info":"number node, value=2055","layer":4},{"info":"number node, value=3105","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=3105, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5160","layer":3},{"info":"compute binary expreesion, left_input=76160, right_input=-5160, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=152320","layer":2},{"info":"number node, value=7143","layer":4},{"info":"number node, value=4380","layer":4},{"info":"compute binary expreesion, left_input=7143, right_input=4380, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=7143","layer":3},{"info":"compute unary expreesion, input=7143, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=36498","layer":2},{"info":"compute binary expreesion, left_input=152320, right_input=36498, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=151836","layer":1},{"info":"number node, value=2302","layer":4},{"info":"compute unary expreesion, input=2302, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=538","layer":2},{"info":"compute unary expreesion, input=538, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-8937","layer":1},{"info":"compute binary expreesion, left_input=151836, right_input=-8937, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-18096","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010111100110⊝⪿⪼≮⫘↔110011010001)∌↝(≮⫘↔100000000111⪒≮⫘↔110000100001))↢((≮⫘↔1101111100111⋣⋖≮⫘↔1000100011100)⫲⨊)↼⊘⨖(⪸(⋃(⊬↢≮⫘↔100011111110)))=≮⫘↔-100011010110000","reverse_text":"≮⫘↔-100011010110000=((≮⫘↔1010111100110⊝⪿⪼≮⫘↔110011010001)∌↝(≮⫘↔100000000111⪒≮⫘↔110000100001))↢((≮⫘↔1101111100111⋣⋖≮⫘↔1000100011100)⫲⨊)↼⊘⨖(⪸(⋃(⊬↢≮⫘↔100011111110)))","cot":[{"info":"≮⫘↔1010111100110⊝⪿⪼≮⫘↔110011010001=≮⫘↔10010100110000000","layer":3},{"info":"≮⫘↔100000000111⪒≮⫘↔110000100001=≮⫘↔-1010000101000","layer":3},{"info":"≮⫘↔10010100110000000∌↝≮⫘↔-1010000101000=≮⫘↔100101001100000000","layer":2},{"info":"≮⫘↔1101111100111⋣⋖≮⫘↔1000100011100=≮⫘↔1101111100111","layer":3},{"info":"≮⫘↔1101111100111⫲⨊=≮⫘↔1000111010010010","layer":2},{"info":"≮⫘↔100101001100000000↢≮⫘↔1000111010010010=≮⫘↔100101000100011100","layer":1},{"info":"⊬↢≮⫘↔100011111110=≮⫘↔11011010","layer":3},{"info":"⋃≮⫘↔11011010=≮⫘↔1000011010","layer":2},{"info":"⪸≮⫘↔1000011010=≮⫘↔-10001011101001","layer":1},{"info":"≮⫘↔100101000100011100↼⊘⨖≮⫘↔-10001011101001=≮⫘↔-100011010110000","layer":0}]}
{"id":53,"expression_no_base_symbol":"⨴⫝($1108$↓$1360$⋅⇍$1857$≦↸$7105$∕⩚$1484$↳∿⪆$1437$⨸⪁(≘$2057$))","expression":"⨴⫝(≮⫘↔10001010100↓≮⫘↔10101010000⋅⇍≮⫘↔11101000001≦↸≮⫘↔1101111000001∕⩚≮⫘↔10111001100↳∿⪆≮⫘↔10110011101⨸⪁(≘≮⫘↔100000001001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23798,"operation_count":8,"complexity_ratio":2974.75,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1108,"base":2},"right_expr":{"type":"numeric_atoms","value":1360,"base":2}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1857,"base":2},"right_expr":{"type":"numeric_atoms","value":7105,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1484,"base":2},"right_expr":{"type":"numeric_atoms","value":1437,"base":2}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2057,"base":2}}}}},"used_operators":["SVb2v531z1","z9ffQ9n5Zr","AdZkA7nFnk","Af076pWI7l","RygbFNSyEJ","g55IO6H4Gj","Cw4SuJJGHO","tcjXMdvYtA"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"≮⫘↔1010110010011110100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1360, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1857","layer":4},{"info":"number node, value=7105","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=7105, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-17243","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-17243, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-439","layer":2},{"info":"number node, value=1484","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=1437, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=4536469","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4536469, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-439, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute unary expreesion, input=-487, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":0}],"base":2,"result_base":2,"text":"⨴⫝(≮⫘↔10001010100↓≮⫘↔10101010000⋅⇍≮⫘↔11101000001≦↸≮⫘↔1101111000001∕⩚≮⫘↔10111001100↳∿⪆≮⫘↔10110011101⨸⪁(≘≮⫘↔100000001001))=≮⫘↔1010110010011110100110","reverse_text":"≮⫘↔1010110010011110100110=⨴⫝(≮⫘↔10001010100↓≮⫘↔10101010000⋅⇍≮⫘↔11101000001≦↸≮⫘↔1101111000001∕⩚≮⫘↔10111001100↳∿⪆≮⫘↔10110011101⨸⪁(≘≮⫘↔100000001001))","cot":[{"info":"≮⫘↔10001010100↓≮⫘↔10101010000=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔11101000001≦↸≮⫘↔1101111000001=≮⫘↔-100001101011011","layer":3},{"info":"≮⫘↔-10000110⋅⇍≮⫘↔-100001101011011=≮⫘↔-110110111","layer":2},{"info":"≮⫘↔10111001100↳∿⪆≮⫘↔10110011101=NaN","layer":3},{"info":"≘≮⫘↔100000001001=≮⫘↔10001010011100010010101","layer":3},{"info":"NaN⨸⪁≮⫘↔10001010011100010010101=NaN","layer":2},{"info":"≮⫘↔-110110111∕⩚NaN=≮⫘↔-111100111","layer":1},{"info":"⨴⫝≮⫘↔-111100111=≮⫘↔1010110010011110100110","layer":0}]}
{"id":54,"expression_no_base_symbol":"((⨡↴$4158$)↱$1481$⪡$5590$)⨰(≀↧⇸(⩦⩻⨪$6983$))∪⫐(-$2820$⨿$2685$⨚($6379$⨐⩸⫘$7457$))","expression":"((⨡↴≮⫘↔1000000111110)↱≮⫘↔10111001001⪡≮⫘↔1010111010110)⨰(≀↧⇸(⩦⩻⨪≮⫘↔1101101000111))∪⫐(-≮⫘↔101100000100⨿≮⫘↔101001111101⨚(≮⫘↔1100011101011⨐⩸⫘≮⫘↔1110100100001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":326,"operation_count":11,"complexity_ratio":29.636363636363637,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":4158,"base":2}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1481,"base":2},"right_expr":{"type":"numeric_atoms","value":5590,"base":2}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6983,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2820,"base":2},"right_expr":{"type":"numeric_atoms","value":2685,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6379,"base":2},"right_expr":{"type":"numeric_atoms","value":7457,"base":2}}}}},"used_operators":["7YooWSwCyH","eewbuw0ToL","SR5kFfdi6N","liw5iZPkLH","oraRL2iQuh","ljTHtUsqzn","2td37pGCOC","t8gj7n24qd","nREPSIbpBE","abYXlopdE0","fu6greOZ01"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","P8v4zCKN1o","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","3ViojmjbAp"],"result":"≮⫘↔100100110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4158","layer":4},{"info":"compute unary expreesion, input=4158, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5207","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=5590","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=5590, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=5207, right_input=107, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=16312","layer":2},{"info":"number node, value=6983","layer":4},{"info":"compute unary expreesion, input=6983, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6983","layer":3},{"info":"compute unary expreesion, input=6983, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=13966","layer":2},{"info":"compute binary expreesion, left_input=16312, right_input=13966, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2356","layer":1},{"info":"number node, value=2820","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=2820, right_input=2685, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=6379","layer":4},{"info":"number node, value=7457","layer":4},{"info":"compute binary expreesion, left_input=6379, right_input=7457, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2356, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2356","layer":0}],"base":2,"result_base":2,"text":"((⨡↴≮⫘↔1000000111110)↱≮⫘↔10111001001⪡≮⫘↔1010111010110)⨰(≀↧⇸(⩦⩻⨪≮⫘↔1101101000111))∪⫐(-≮⫘↔101100000100⨿≮⫘↔101001111101⨚(≮⫘↔1100011101011⨐⩸⫘≮⫘↔1110100100001))=≮⫘↔100100110100","reverse_text":"≮⫘↔100100110100=((⨡↴≮⫘↔1000000111110)↱≮⫘↔10111001001⪡≮⫘↔1010111010110)⨰(≀↧⇸(⩦⩻⨪≮⫘↔1101101000111))∪⫐(-≮⫘↔101100000100⨿≮⫘↔101001111101⨚(≮⫘↔1100011101011⨐⩸⫘≮⫘↔1110100100001))","cot":[{"info":"⨡↴≮⫘↔1000000111110=≮⫘↔1010001010111","layer":3},{"info":"≮⫘↔10111001001⪡≮⫘↔1010111010110=≮⫘↔1101011","layer":3},{"info":"≮⫘↔1010001010111↱≮⫘↔1101011=≮⫘↔11111110111000","layer":2},{"info":"⩦⩻⨪≮⫘↔1101101000111=≮⫘↔1101101000111","layer":3},{"info":"≀↧⇸≮⫘↔1101101000111=≮⫘↔11011010001110","layer":2},{"info":"≮⫘↔11111110111000⨰≮⫘↔11011010001110=≮⫘↔100100110100","layer":1},{"info":"≮⫘↔101100000100⨿≮⫘↔101001111101=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔1100011101011⨐⩸⫘≮⫘↔1110100100001=NaN","layer":3},{"info":"≮⫘↔-100111111⨚NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"≮⫘↔100100110100∪⫐NaN=≮⫘↔100100110100","layer":0}]}
{"id":55,"expression_no_base_symbol":"($2618$⩵∡$1243$-$8255$∥⊢⊲$3275$)⫉⨲⊜((⫶⊄≣$1447$)≀⩗∶($1654$⫌⩉⩟$8791$))≚⋢","expression":"(≮⫘↔101000111010⩵∡≮⫘↔10011011011-≮⫘↔10000000111111∥⊢⊲≮⫘↔110011001011)⫉⨲⊜((⫶⊄≣≮⫘↔10110100111)≀⩗∶(≮⫘↔11001110110⫌⩉⩟≮⫘↔10001001010111))≚⋢","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":45998,"operation_count":8,"complexity_ratio":5749.75,"tree":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2618,"base":2},"right_expr":{"type":"numeric_atoms","value":1243,"base":2}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":8255,"base":2},"right_expr":{"type":"numeric_atoms","value":3275,"base":2}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1447,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1654,"base":2},"right_expr":{"type":"numeric_atoms","value":8791,"base":2}}}}},"used_operators":["MahUMFw56D","WhqkvtTD3t","rysDP5nf3Z","Y7wcNGrDQJ","v1UQAVDJRr","8INZBEW696","wxb3vTeyAj","XIIwhv8d0m"],"dependent_operators":["3ViojmjbAp","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","glklzrTFfD","tifHPKVTfV","EBcxylXtPf","rGHVDoGpnC","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≮⫘↔-1011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2618","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=1243, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4114","layer":3},{"info":"number node, value=8255","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=8255, right_input=3275, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4114, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=37711297","layer":3},{"info":"number node, value=1654","layer":4},{"info":"number node, value=8791","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=8791, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=37711297, right_input=-50, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-107","layer":1},{"info":"compute unary expreesion, input=-107, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101000111010⩵∡≮⫘↔10011011011-≮⫘↔10000000111111∥⊢⊲≮⫘↔110011001011)⫉⨲⊜((⫶⊄≣≮⫘↔10110100111)≀⩗∶(≮⫘↔11001110110⫌⩉⩟≮⫘↔10001001010111))≚⋢=≮⫘↔-1011001","reverse_text":"≮⫘↔-1011001=(≮⫘↔101000111010⩵∡≮⫘↔10011011011-≮⫘↔10000000111111∥⊢⊲≮⫘↔110011001011)⫉⨲⊜((⫶⊄≣≮⫘↔10110100111)≀⩗∶(≮⫘↔11001110110⫌⩉⩟≮⫘↔10001001010111))≚⋢","cot":[{"info":"≮⫘↔101000111010⩵∡≮⫘↔10011011011=≮⫘↔-1000000010010","layer":3},{"info":"≮⫘↔10000000111111∥⊢⊲≮⫘↔110011001011=NaN","layer":3},{"info":"≮⫘↔-1000000010010-NaN=NaN","layer":2},{"info":"⫶⊄≣≮⫘↔10110100111=≮⫘↔10001111110110110111000001","layer":3},{"info":"≮⫘↔11001110110⫌⩉⩟≮⫘↔10001001010111=≮⫘↔-110010","layer":3},{"info":"≮⫘↔10001111110110110111000001≀⩗∶≮⫘↔-110010=≮⫘↔11","layer":2},{"info":"NaN⫉⨲⊜≮⫘↔11=≮⫘↔-1101011","layer":1},{"info":"≮⫘↔-1101011≚⋢=≮⫘↔-1011001","layer":0}]}
{"id":56,"expression_no_base_symbol":"(↣≠⋷($3134$≠≀$7209$⩧⪆($1004$*$1073$)))⨸⪁(($2765$↸$2120$)↤⩊($4576$≬⋮$3114$)⩹($5691$⩤)≦↸($6140$⨴∎))","expression":"(↣≠⋷(≮⫘↔110000111110≠≀≮⫘↔1110000101001⩧⪆(≮⫘↔1111101100*≮⫘↔10000110001)))⨸⪁((≮⫘↔101011001101↸≮⫘↔100001001000)↤⩊(≮⫘↔1000111100000≬⋮≮⫘↔110000101010)⩹(≮⫘↔1011000111011⩤)≦↸(≮⫘↔1011111111100⨴∎))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9547,"operation_count":12,"complexity_ratio":795.5833333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3134,"base":2},"right_expr":{"type":"numeric_atoms","value":7209,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1004,"base":2},"right_expr":{"type":"numeric_atoms","value":1073,"base":2}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2765,"base":2},"right_expr":{"type":"numeric_atoms","value":2120,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4576,"base":2},"right_expr":{"type":"numeric_atoms","value":3114,"base":2}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5691,"base":2}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":6140,"base":2}}}}},"used_operators":["g55IO6H4Gj","Asc51vEJeQ","Ikt5ks8PT7","IwW236VD4Y","9HNa5Wba9A","2Wsdkap16l","13rbtpv6ld","1eCjFl0mb9","kbkesczE7y","RygbFNSyEJ","Z2TMIBDE3Q","CpSg5vQTgA"],"dependent_operators":["W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","eewbuw0ToL","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3134","layer":4},{"info":"number node, value=7209","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=7209, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5962","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1073, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1077292","layer":3},{"info":"compute binary expreesion, left_input=-5962, right_input=1077292, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1077292","layer":2},{"info":"compute unary expreesion, input=-1077292, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2765","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=2120, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2765","layer":3},{"info":"number node, value=4576","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=4576, right_input=3114, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=2765, right_input=868, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=5691","layer":4},{"info":"compute unary expreesion, input=5691, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5691","layer":3},{"info":"number node, value=6140","layer":4},{"info":"compute unary expreesion, input=6140, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5691, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↣≠⋷(≮⫘↔110000111110≠≀≮⫘↔1110000101001⩧⪆(≮⫘↔1111101100*≮⫘↔10000110001)))⨸⪁((≮⫘↔101011001101↸≮⫘↔100001001000)↤⩊(≮⫘↔1000111100000≬⋮≮⫘↔110000101010)⩹(≮⫘↔1011000111011⩤)≦↸(≮⫘↔1011111111100⨴∎))=NaN","reverse_text":"NaN=(↣≠⋷(≮⫘↔110000111110≠≀≮⫘↔1110000101001⩧⪆(≮⫘↔1111101100*≮⫘↔10000110001)))⨸⪁((≮⫘↔101011001101↸≮⫘↔100001001000)↤⩊(≮⫘↔1000111100000≬⋮≮⫘↔110000101010)⩹(≮⫘↔1011000111011⩤)≦↸(≮⫘↔1011111111100⨴∎))","cot":[{"info":"≮⫘↔110000111110≠≀≮⫘↔1110000101001=≮⫘↔-1011101001010","layer":3},{"info":"≮⫘↔1111101100*≮⫘↔10000110001=≮⫘↔100000111000000101100","layer":3},{"info":"≮⫘↔-1011101001010⩧⪆≮⫘↔100000111000000101100=≮⫘↔-100000111000000101100","layer":2},{"info":"↣≠⋷≮⫘↔-100000111000000101100=NaN","layer":1},{"info":"≮⫘↔101011001101↸≮⫘↔100001001000=≮⫘↔101011001101","layer":3},{"info":"≮⫘↔1000111100000≬⋮≮⫘↔110000101010=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔101011001101↤⩊≮⫘↔1101100100=NaN","layer":2},{"info":"≮⫘↔1011000111011⩤=≮⫘↔-1011000111011","layer":3},{"info":"≮⫘↔1011111111100⨴∎=NaN","layer":3},{"info":"≮⫘↔-1011000111011≦↸NaN=NaN","layer":2},{"info":"NaN⩹NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":57,"expression_no_base_symbol":"⪸(($1515$↙$3472$)⨔≚≋$1432$⨥⫆$3114$+⇶⊼($1307$⇂≾⫗$7769$⨵⪆$1171$≠≀$1217$))","expression":"⪸((≮⫘↔10111101011↙≮⫘↔110110010000)⨔≚≋≮⫘↔10110011000⨥⫆≮⫘↔110000101010+⇶⊼(≮⫘↔10100011011⇂≾⫗≮⫘↔1111001011001⨵⪆≮⫘↔10010010011≠≀≮⫘↔10011000001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3631,"operation_count":8,"complexity_ratio":453.875,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1515,"base":2},"right_expr":{"type":"numeric_atoms","value":3472,"base":2}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1432,"base":2},"right_expr":{"type":"numeric_atoms","value":3114,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1307,"base":2},"right_expr":{"type":"numeric_atoms","value":7769,"base":2}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1171,"base":2},"right_expr":{"type":"numeric_atoms","value":1217,"base":2}}}}},"used_operators":["86A5ENbKR9","TpPTUOHfaN","Z57zeUYC9z","yyfyN0ffXY","yXekIHxTD4","2DQ55sFlQl","aBQ6xLxuTc","IwW236VD4Y"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","AHs5Up7iyr","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","tmPS8pqC7x","DpFCA1CohY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"number node, value=3472","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=3472, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10416","layer":3},{"info":"number node, value=1432","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=3114, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6104","layer":3},{"info":"compute binary expreesion, left_input=-10416, right_input=6104, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=115064","layer":2},{"info":"number node, value=1307","layer":4},{"info":"number node, value=7769","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=7769, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1171","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=1217, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2036","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-2036, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=115064, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪸((≮⫘↔10111101011↙≮⫘↔110110010000)⨔≚≋≮⫘↔10110011000⨥⫆≮⫘↔110000101010+⇶⊼(≮⫘↔10100011011⇂≾⫗≮⫘↔1111001011001⨵⪆≮⫘↔10010010011≠≀≮⫘↔10011000001))=NaN","reverse_text":"NaN=⪸((≮⫘↔10111101011↙≮⫘↔110110010000)⨔≚≋≮⫘↔10110011000⨥⫆≮⫘↔110000101010+⇶⊼(≮⫘↔10100011011⇂≾⫗≮⫘↔1111001011001⨵⪆≮⫘↔10010010011≠≀≮⫘↔10011000001))","cot":[{"info":"≮⫘↔10111101011↙≮⫘↔110110010000=≮⫘↔-10100010110000","layer":3},{"info":"≮⫘↔10110011000⨥⫆≮⫘↔110000101010=≮⫘↔1011111011000","layer":3},{"info":"≮⫘↔-10100010110000⨔≚≋≮⫘↔1011111011000=≮⫘↔11100000101111000","layer":2},{"info":"≮⫘↔10100011011⇂≾⫗≮⫘↔1111001011001=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔10010010011≠≀≮⫘↔10011000001=≮⫘↔-11111110100","layer":3},{"info":"≮⫘↔-1010100100⨵⪆≮⫘↔-11111110100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔11100000101111000+⇶⊼≮⫘↔10100000=NaN","layer":1},{"info":"⪸NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"(⇜(↨⩢⫨$3077$)⊢($6362$⋓$2294$))⋾⨃∁(($1949$≭$6701$)⨚(≑⋹$2105$)⋆⋳)","expression":"(⇜(↨⩢⫨≮⫘↔110000000101)⊢(≮⫘↔1100011011010⋓≮⫘↔100011110110))⋾⨃∁((≮⫘↔11110011101≭≮⫘↔1101000101101)⨚(≑⋹≮⫘↔100000111001)⋆⋳)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1447,"operation_count":9,"complexity_ratio":160.77777777777777,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":3077,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6362,"base":2},"right_expr":{"type":"numeric_atoms","value":2294,"base":2}}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1949,"base":2},"right_expr":{"type":"numeric_atoms","value":6701,"base":2}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2105,"base":2}}}}},"used_operators":["212REbPD9h","lFBm8KRb8F","5twsqlHp2o","Z5CJsN7DuW","T2fj7uvVaJ","6MpZysEj17","nREPSIbpBE","rxpJgHHUmx","6B9nyZLogK"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","BjRHVeLaeN","12rbrZMWeM","AHs5Up7iyr","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3077","layer":4},{"info":"compute unary expreesion, input=3077, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=6362","layer":4},{"info":"number node, value=2294","layer":4},{"info":"compute binary expreesion, left_input=6362, right_input=2294, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":1},{"info":"number node, value=1949","layer":4},{"info":"number node, value=6701","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=6701, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2105","layer":4},{"info":"compute unary expreesion, input=2105, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=232, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇜(↨⩢⫨≮⫘↔110000000101)⊢(≮⫘↔1100011011010⋓≮⫘↔100011110110))⋾⨃∁((≮⫘↔11110011101≭≮⫘↔1101000101101)⨚(≑⋹≮⫘↔100000111001)⋆⋳)=NaN","reverse_text":"NaN=(⇜(↨⩢⫨≮⫘↔110000000101)⊢(≮⫘↔1100011011010⋓≮⫘↔100011110110))⋾⨃∁((≮⫘↔11110011101≭≮⫘↔1101000101101)⨚(≑⋹≮⫘↔100000111001)⋆⋳)","cot":[{"info":"↨⩢⫨≮⫘↔110000000101=≮⫘↔0","layer":3},{"info":"≮⫘↔1100011011010⋓≮⫘↔100011110110=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊢≮⫘↔0=≮⫘↔-11110100","layer":2},{"info":"⇜≮⫘↔-11110100=≮⫘↔11101000","layer":1},{"info":"≮⫘↔11110011101≭≮⫘↔1101000101101=NaN","layer":3},{"info":"≑⋹≮⫘↔100000111001=≮⫘↔11001110010","layer":3},{"info":"NaN⨚≮⫘↔11001110010=NaN","layer":2},{"info":"NaN⋆⋳=NaN","layer":1},{"info":"≮⫘↔11101000⋾⨃∁NaN=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"(($1075$≎⊠⪸$1418$)⊲⩕⊾$5788$↳∿⪆$1774$∙∹∝($9630$⫡⨏$1912$⋷$1931$⋾⨃∁$2030$))⫯⪬∳((⋗⩬⋾(⨮↦↱$2072$))⨒$1872$⫞⩸⩒$1046$⫁($2423$⪨⊡$1005$))","expression":"((≮⫘↔10000110011≎⊠⪸≮⫘↔10110001010)⊲⩕⊾≮⫘↔1011010011100↳∿⪆≮⫘↔11011101110∙∹∝(≮⫘↔10010110011110⫡⨏≮⫘↔11101111000⋷≮⫘↔11110001011⋾⨃∁≮⫘↔11111101110))⫯⪬∳((⋗⩬⋾(⨮↦↱≮⫘↔100000011000))⨒≮⫘↔11101010000⫞⩸⩒≮⫘↔10000010110⫁(≮⫘↔100101110111⪨⊡≮⫘↔1111101101))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6533,"operation_count":14,"complexity_ratio":466.64285714285717,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":1418,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5788,"base":2},"right_expr":{"type":"numeric_atoms","value":1774,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":9630,"base":2},"right_expr":{"type":"numeric_atoms","value":1912,"base":2}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1931,"base":2},"right_expr":{"type":"numeric_atoms","value":2030,"base":2}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2072,"base":2}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1872,"base":2},"right_expr":{"type":"numeric_atoms","value":1046,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2423,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}}}}},"used_operators":["d7ASUq0ydm","HmxsFra2vL","DmTXOeWf9t","bJkvcejdHO","Cw4SuJJGHO","23Mk6UjR3U","QMFrweE19q","212REbPD9h","y75s1iXyHd","DpFCA1CohY","sYcpBQ0cFf","0ajvFaJAv0","XGcMNugi78","kuIXHzHcAH"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","cHh1gJQ2o6","AHs5Up7iyr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1418, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=277952","layer":3},{"info":"number node, value=5788","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=5788, right_input=1774, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=277952, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"number node, value=9630","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=9630, right_input=1912, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=52757","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=2030, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=41184546","layer":3},{"info":"compute binary expreesion, left_input=52757, right_input=41184546, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=82316335","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=82316335, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=2072","layer":4},{"info":"compute unary expreesion, input=2072, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-7478682","layer":3},{"info":"compute unary expreesion, input=-7478682, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=22436046","layer":2},{"info":"number node, value=1872","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=1872, right_input=1046, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1046","layer":3},{"info":"number node, value=2423","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=1005, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1046, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=22436046, right_input=160, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000110011≎⊠⪸≮⫘↔10110001010)⊲⩕⊾≮⫘↔1011010011100↳∿⪆≮⫘↔11011101110∙∹∝(≮⫘↔10010110011110⫡⨏≮⫘↔11101111000⋷≮⫘↔11110001011⋾⨃∁≮⫘↔11111101110))⫯⪬∳((⋗⩬⋾(⨮↦↱≮⫘↔100000011000))⨒≮⫘↔11101010000⫞⩸⩒≮⫘↔10000010110⫁(≮⫘↔100101110111⪨⊡≮⫘↔1111101101))=NaN","reverse_text":"NaN=((≮⫘↔10000110011≎⊠⪸≮⫘↔10110001010)⊲⩕⊾≮⫘↔1011010011100↳∿⪆≮⫘↔11011101110∙∹∝(≮⫘↔10010110011110⫡⨏≮⫘↔11101111000⋷≮⫘↔11110001011⋾⨃∁≮⫘↔11111101110))⫯⪬∳((⋗⩬⋾(⨮↦↱≮⫘↔100000011000))⨒≮⫘↔11101010000⫞⩸⩒≮⫘↔10000010110⫁(≮⫘↔100101110111⪨⊡≮⫘↔1111101101))","cot":[{"info":"≮⫘↔10000110011≎⊠⪸≮⫘↔10110001010=≮⫘↔1000011110111000000","layer":3},{"info":"≮⫘↔1011010011100↳∿⪆≮⫘↔11011101110=NaN","layer":3},{"info":"≮⫘↔1000011110111000000⊲⩕⊾NaN=NaN","layer":2},{"info":"≮⫘↔10010110011110⫡⨏≮⫘↔11101111000=≮⫘↔1100111000010101","layer":3},{"info":"≮⫘↔11110001011⋾⨃∁≮⫘↔11111101110=≮⫘↔10011101000110110100100010","layer":3},{"info":"≮⫘↔1100111000010101⋷≮⫘↔10011101000110110100100010=≮⫘↔100111010000000110000101111","layer":2},{"info":"NaN∙∹∝≮⫘↔100111010000000110000101111=NaN","layer":1},{"info":"⨮↦↱≮⫘↔100000011000=≮⫘↔-11100100001110110011010","layer":3},{"info":"⋗⩬⋾≮⫘↔-11100100001110110011010=≮⫘↔1010101100101100011001110","layer":2},{"info":"≮⫘↔11101010000⫞⩸⩒≮⫘↔10000010110=≮⫘↔10000010110","layer":3},{"info":"≮⫘↔100101110111⪨⊡≮⫘↔1111101101=≮⫘↔0","layer":3},{"info":"≮⫘↔10000010110⫁≮⫘↔0=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1010101100101100011001110⨒≮⫘↔10100000=≮⫘↔0","layer":1},{"info":"NaN⫯⪬∳≮⫘↔0=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"⩩((⨴⫝$2100$⪒⊣⊆$3128$)⊉≛↸($2475$⋓$1734$)⊝⪿⪼($1115$⫸⊐$2361$))","expression":"⩩((⨴⫝≮⫘↔100000110100⪒⊣⊆≮⫘↔110000111000)⊉≛↸(≮⫘↔100110101011⋓≮⫘↔11011000110)⊝⪿⪼(≮⫘↔10001011011⫸⊐≮⫘↔100100111001))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2818,"operation_count":7,"complexity_ratio":402.57142857142856,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2100,"base":2},"right_expr":{"type":"numeric_atoms","value":3128,"base":2}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2475,"base":2},"right_expr":{"type":"numeric_atoms","value":1734,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1115,"base":2},"right_expr":{"type":"numeric_atoms","value":2361,"base":2}}}}},"used_operators":["kMhfGuqI2H","DZ8iAZOCBD","SVb2v531z1","eRqsBgTDFp","3Oe9XWJUTD","T2fj7uvVaJ","mqXw5SEYmG"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","sdazOOVcIp","W4YGzv6Whe","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2100","layer":4},{"info":"number node, value=3128","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=3128, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4200","layer":3},{"info":"compute unary expreesion, input=4200, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"number node, value=2475","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=1734, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=2361, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9319, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9932","layer":2},{"info":"compute binary expreesion, left_input=2828198, right_input=9932, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5656396","layer":1},{"info":"compute unary expreesion, input=5656396, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩩((⨴⫝≮⫘↔100000110100⪒⊣⊆≮⫘↔110000111000)⊉≛↸(≮⫘↔100110101011⋓≮⫘↔11011000110)⊝⪿⪼(≮⫘↔10001011011⫸⊐≮⫘↔100100111001))=NaN","reverse_text":"NaN=⩩((⨴⫝≮⫘↔100000110100⪒⊣⊆≮⫘↔110000111000)⊉≛↸(≮⫘↔100110101011⋓≮⫘↔11011000110)⊝⪿⪼(≮⫘↔10001011011⫸⊐≮⫘↔100100111001))","cot":[{"info":"≮⫘↔100000110100⪒⊣⊆≮⫘↔110000111000=≮⫘↔1000001101000","layer":3},{"info":"⨴⫝≮⫘↔1000001101000=≮⫘↔1010110010011110100110","layer":2},{"info":"≮⫘↔100110101011⋓≮⫘↔11011000110=≮⫘↔0","layer":3},{"info":"≮⫘↔10001011011⫸⊐≮⫘↔100100111001=≮⫘↔10010001100111","layer":3},{"info":"≮⫘↔0⊝⪿⪼≮⫘↔10010001100111=≮⫘↔10011011001100","layer":2},{"info":"≮⫘↔1010110010011110100110⊉≛↸≮⫘↔10011011001100=≮⫘↔10101100100111101001100","layer":1},{"info":"⩩≮⫘↔10101100100111101001100=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"∓⪦((↞≼($2411$↢$1940$))⫒⫫((⩷$1822$)⇮⋭$7087$⩌⋺$3396$))","expression":"∓⪦((↞≼(≮⫘↔100101101011↢≮⫘↔11110010100))⫒⫫((⩷≮⫘↔11100011110)⇮⋭≮⫘↔1101110101111⩌⋺≮⫘↔110101000100))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":128,"operation_count":7,"complexity_ratio":18.285714285714285,"tree":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2411,"base":2},"right_expr":{"type":"numeric_atoms","value":1940,"base":2}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1822,"base":2}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":7087,"base":2},"right_expr":{"type":"numeric_atoms","value":3396,"base":2}}}}},"used_operators":["D309nIvmXG","6Ko8hGgeMq","DE7zCoGJt9","WR6HLWljOP","vkpjKywKVM","1h0rLqGiFr","g7Hmc5v1ko"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2411","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=1940, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1927","layer":3},{"info":"compute unary expreesion, input=1927, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=15002","layer":2},{"info":"number node, value=1822","layer":4},{"info":"compute unary expreesion, input=1822, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-21943","layer":3},{"info":"number node, value=7087","layer":4},{"info":"number node, value=3396","layer":4},{"info":"compute binary expreesion, left_input=7087, right_input=3396, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-10604","layer":3},{"info":"compute binary expreesion, left_input=-21943, right_input=-10604, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=15002, right_input=67, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∓⪦((↞≼(≮⫘↔100101101011↢≮⫘↔11110010100))⫒⫫((⩷≮⫘↔11100011110)⇮⋭≮⫘↔1101110101111⩌⋺≮⫘↔110101000100))=NaN","reverse_text":"NaN=∓⪦((↞≼(≮⫘↔100101101011↢≮⫘↔11110010100))⫒⫫((⩷≮⫘↔11100011110)⇮⋭≮⫘↔1101110101111⩌⋺≮⫘↔110101000100))","cot":[{"info":"≮⫘↔100101101011↢≮⫘↔11110010100=≮⫘↔11110000111","layer":3},{"info":"↞≼≮⫘↔11110000111=≮⫘↔11101010011010","layer":2},{"info":"⩷≮⫘↔11100011110=≮⫘↔-101010110110111","layer":3},{"info":"≮⫘↔1101110101111⩌⋺≮⫘↔110101000100=≮⫘↔-10100101101100","layer":3},{"info":"≮⫘↔-101010110110111⇮⋭≮⫘↔-10100101101100=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11101010011010⫒⫫≮⫘↔1000011=NaN","layer":1},{"info":"∓⪦NaN=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"(⫎≠⋺((≤/$2450$)↱$3021$↺$1219$))⪨⊡($3226$⪗)⫁$1621$⇂≾⫗$5099$∇⊂⋱($3781$↺$1395$)↹⊜$6289$⨂≜$4796$","expression":"(⫎≠⋺((≤/≮⫘↔100110010010)↱≮⫘↔101111001101↺≮⫘↔10011000011))⪨⊡(≮⫘↔110010011010⪗)⫁≮⫘↔11001010101⇂≾⫗≮⫘↔1001111101011∇⊂⋱(≮⫘↔111011000101↺≮⫘↔10101110011)↹⊜≮⫘↔1100010010001⨂≜≮⫘↔1001010111100","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11834,"operation_count":12,"complexity_ratio":986.1666666666666,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2450,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3021,"base":2},"right_expr":{"type":"numeric_atoms","value":1219,"base":2}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":3226,"base":2}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1621,"base":2},"right_expr":{"type":"numeric_atoms","value":5099,"base":2}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3781,"base":2},"right_expr":{"type":"numeric_atoms","value":1395,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6289,"base":2},"right_expr":{"type":"numeric_atoms","value":4796,"base":2}}}}},"used_operators":["kuIXHzHcAH","LYeZOJ0nQG","SR5kFfdi6N","eLAdDNolq6","7j4O788W3g","nhYeJWJD5X","0ajvFaJAv0","VEQNXA0ZBg","aBQ6xLxuTc","9bazX3JMtO","k1SHOSEABc"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"≮⫘↔11010011101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2450","layer":4},{"info":"compute unary expreesion, input=2450, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1966","layer":3},{"info":"number node, value=3021","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=3021, right_input=1219, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1219","layer":3},{"info":"compute binary expreesion, left_input=-1966, right_input=1219, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3135","layer":2},{"info":"compute unary expreesion, input=-3135, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"number node, value=3226","layer":4},{"info":"compute unary expreesion, input=3226, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1621","layer":4},{"info":"number node, value=5099","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=5099, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=3781","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=1395, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1395","layer":3},{"info":"number node, value=6289","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=6289, right_input=4796, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1395, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-226","layer":1},{"info":"compute binary expreesion, left_input=-709, right_input=-226, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=1693","layer":0}],"base":2,"result_base":2,"text":"(⫎≠⋺((≤/≮⫘↔100110010010)↱≮⫘↔101111001101↺≮⫘↔10011000011))⪨⊡(≮⫘↔110010011010⪗)⫁≮⫘↔11001010101⇂≾⫗≮⫘↔1001111101011∇⊂⋱(≮⫘↔111011000101↺≮⫘↔10101110011)↹⊜≮⫘↔1100010010001⨂≜≮⫘↔1001010111100=≮⫘↔11010011101","reverse_text":"≮⫘↔11010011101=(⫎≠⋺((≤/≮⫘↔100110010010)↱≮⫘↔101111001101↺≮⫘↔10011000011))⪨⊡(≮⫘↔110010011010⪗)⫁≮⫘↔11001010101⇂≾⫗≮⫘↔1001111101011∇⊂⋱(≮⫘↔111011000101↺≮⫘↔10101110011)↹⊜≮⫘↔1100010010001⨂≜≮⫘↔1001010111100","cot":[{"info":"≤/≮⫘↔100110010010=≮⫘↔-11110101110","layer":3},{"info":"≮⫘↔101111001101↺≮⫘↔10011000011=≮⫘↔10011000011","layer":3},{"info":"≮⫘↔-11110101110↱≮⫘↔10011000011=≮⫘↔-110000111111","layer":2},{"info":"⫎≠⋺≮⫘↔-110000111111=≮⫘↔-1011000101","layer":1},{"info":"≮⫘↔110010011010⪗=NaN","layer":3},{"info":"≮⫘↔11001010101⇂≾⫗≮⫘↔1001111101011=≮⫘↔-1010100100","layer":3},{"info":"NaN⫁≮⫘↔-1010100100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔111011000101↺≮⫘↔10101110011=≮⫘↔10101110011","layer":3},{"info":"≮⫘↔1100010010001⨂≜≮⫘↔1001010111100=NaN","layer":3},{"info":"≮⫘↔10101110011↹⊜NaN=NaN","layer":2},{"info":"≮⫘↔10100000∇⊂⋱NaN=≮⫘↔-11100010","layer":1},{"info":"≮⫘↔-1011000101⪨⊡≮⫘↔-11100010=≮⫘↔11010011101","layer":0}]}
{"id":63,"expression_no_base_symbol":"(($2339$⫢⨠$6041$≣⋋)⇟⨁⪰)⋭≵($1204$⇡⇂$3435$⫰⋱$1648$⩣⫁∢$3867$⩹$7505$⪒⊣⊆$1357$⊲⩕⊾$1805$⪪$2995$)","expression":"((≮⫘↔100100100011⫢⨠≮⫘↔1011110011001≣⋋)⇟⨁⪰)⋭≵(≮⫘↔10010110100⇡⇂≮⫘↔110101101011⫰⋱≮⫘↔11001110000⩣⫁∢≮⫘↔111100011011⩹≮⫘↔1110101010001⪒⊣⊆≮⫘↔10101001101⊲⩕⊾≮⫘↔11100001101⪪≮⫘↔101110110011)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23496,"operation_count":11,"complexity_ratio":2136.0,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2339,"base":2},"right_expr":{"type":"numeric_atoms","value":6041,"base":2}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1204,"base":2},"right_expr":{"type":"numeric_atoms","value":3435,"base":2}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1648,"base":2},"right_expr":{"type":"numeric_atoms","value":3867,"base":2}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":7505,"base":2},"right_expr":{"type":"numeric_atoms","value":1357,"base":2}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1805,"base":2},"right_expr":{"type":"numeric_atoms","value":2995,"base":2}}}}},"used_operators":["jBncVCNhdl","BX1lVwlMe0","Tcnh7f0tEr","xlXykHWxX1","2Wsdkap16l","6o9Blt3TJ6","UMwdvZNt44","JDUIKTTSIa","DmTXOeWf9t","eRqsBgTDFp","xD69zh8xqp"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2DDjHMKMc0","xUOZtlo3hN","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","FU0Cs4j7VP","JclMnS0uGI"],"result":"≮⫘↔101111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2339","layer":4},{"info":"number node, value=6041","layer":4},{"info":"compute binary expreesion, left_input=2339, right_input=6041, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-174","layer":1},{"info":"number node, value=1204","layer":4},{"info":"number node, value=3435","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=3435, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1648","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=3867, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3135","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3135, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=7505","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=7505, right_input=1357, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=15010","layer":3},{"info":"number node, value=1805","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=2995, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-268644","layer":3},{"info":"compute binary expreesion, left_input=15010, right_input=-268644, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=5141250","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5141250, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5141248","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=5141248, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=382","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100100100011⫢⨠≮⫘↔1011110011001≣⋋)⇟⨁⪰)⋭≵(≮⫘↔10010110100⇡⇂≮⫘↔110101101011⫰⋱≮⫘↔11001110000⩣⫁∢≮⫘↔111100011011⩹≮⫘↔1110101010001⪒⊣⊆≮⫘↔10101001101⊲⩕⊾≮⫘↔11100001101⪪≮⫘↔101110110011)=≮⫘↔101111110","reverse_text":"≮⫘↔101111110=((≮⫘↔100100100011⫢⨠≮⫘↔1011110011001≣⋋)⇟⨁⪰)⋭≵(≮⫘↔10010110100⇡⇂≮⫘↔110101101011⫰⋱≮⫘↔11001110000⩣⫁∢≮⫘↔111100011011⩹≮⫘↔1110101010001⪒⊣⊆≮⫘↔10101001101⊲⩕⊾≮⫘↔11100001101⪪≮⫘↔101110110011)","cot":[{"info":"≮⫘↔100100100011⫢⨠≮⫘↔1011110011001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000≣⋋=≮⫘↔0","layer":2},{"info":"≮⫘↔0⇟⨁⪰=≮⫘↔-10101110","layer":1},{"info":"≮⫘↔10010110100⇡⇂≮⫘↔110101101011=NaN","layer":3},{"info":"≮⫘↔11001110000⩣⫁∢≮⫘↔111100011011=≮⫘↔-110000111111","layer":3},{"info":"NaN⫰⋱≮⫘↔-110000111111=NaN","layer":2},{"info":"≮⫘↔1110101010001⪒⊣⊆≮⫘↔10101001101=≮⫘↔11101010100010","layer":3},{"info":"≮⫘↔11100001101⪪≮⫘↔101110110011=≮⫘↔-1000001100101100100","layer":3},{"info":"≮⫘↔11101010100010⊲⩕⊾≮⫘↔-1000001100101100100=≮⫘↔10011100111001100000010","layer":2},{"info":"NaN⩹≮⫘↔10011100111001100000010=≮⫘↔10011100111001100000000","layer":1},{"info":"≮⫘↔-10101110⋭≵≮⫘↔10011100111001100000000=≮⫘↔101111110","layer":0}]}
{"id":64,"expression_no_base_symbol":"($6096$⩦$1028$≓∲$4903$↢$7039$)⫣⪄⊒((⊄⩳↩$1599$)∴($1155$⊍⩺⋍$1152$))≑≱⪘","expression":"(≮⫘↔1011111010000⩦≮⫘↔10000000100≓∲≮⫘↔1001100100111↢≮⫘↔1101101111111)⫣⪄⊒((⊄⩳↩≮⫘↔11000111111)∴(≮⫘↔10010000011⊍⩺⋍≮⫘↔10010000000))≑≱⪘","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":729,"operation_count":8,"complexity_ratio":91.125,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6096,"base":2},"right_expr":{"type":"numeric_atoms","value":1028,"base":2}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4903,"base":2},"right_expr":{"type":"numeric_atoms","value":7039,"base":2}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1599,"base":2}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1155,"base":2},"right_expr":{"type":"numeric_atoms","value":1152,"base":2}}}}},"used_operators":["tGSeddj7UK","RabNbG55vr","s1XTVnmDOJ","0kmYd0q39Y","WR6HLWljOP","hrf7POJlIJ","8w2t5hMYqp","OXDGMFPWZM"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"≮⫘↔-1011010000100111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6096","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=6096, right_input=1028, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=12192","layer":3},{"info":"number node, value=4903","layer":4},{"info":"number node, value=7039","layer":4},{"info":"compute binary expreesion, left_input=4903, right_input=7039, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4419","layer":3},{"info":"compute binary expreesion, left_input=12192, right_input=4419, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=122703","layer":2},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4797","layer":3},{"info":"number node, value=1155","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=1152, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4797, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-7946","layer":2},{"info":"compute binary expreesion, left_input=122703, right_input=-7946, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=-368958","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1011111010000⩦≮⫘↔10000000100≓∲≮⫘↔1001100100111↢≮⫘↔1101101111111)⫣⪄⊒((⊄⩳↩≮⫘↔11000111111)∴(≮⫘↔10010000011⊍⩺⋍≮⫘↔10010000000))≑≱⪘=≮⫘↔-1011010000100111110","reverse_text":"≮⫘↔-1011010000100111110=(≮⫘↔1011111010000⩦≮⫘↔10000000100≓∲≮⫘↔1001100100111↢≮⫘↔1101101111111)⫣⪄⊒((⊄⩳↩≮⫘↔11000111111)∴(≮⫘↔10010000011⊍⩺⋍≮⫘↔10010000000))≑≱⪘","cot":[{"info":"≮⫘↔1011111010000⩦≮⫘↔10000000100=≮⫘↔10111110100000","layer":3},{"info":"≮⫘↔1001100100111↢≮⫘↔1101101111111=≮⫘↔1000101000011","layer":3},{"info":"≮⫘↔10111110100000≓∲≮⫘↔1000101000011=≮⫘↔11101111101001111","layer":2},{"info":"⊄⩳↩≮⫘↔11000111111=≮⫘↔-1001010111101","layer":3},{"info":"≮⫘↔10010000011⊍⩺⋍≮⫘↔10010000000=NaN","layer":3},{"info":"≮⫘↔-1001010111101∴NaN=≮⫘↔-1111100001010","layer":2},{"info":"≮⫘↔11101111101001111⫣⪄⊒≮⫘↔-1111100001010=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10100000≑≱⪘=≮⫘↔-1011010000100111110","layer":0}]}
{"id":65,"expression_no_base_symbol":"≅≯⇸(($4666$⇴$2036$)⪭(∷≠$1268$))⩘(⊲⪭($2713$-$6803$))","expression":"≅≯⇸((≮⫘↔1001000111010⇴≮⫘↔11111110100)⪭(∷≠≮⫘↔10011110100))⩘(⊲⪭(≮⫘↔101010011001-≮⫘↔1101010010011))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":124,"operation_count":7,"complexity_ratio":17.714285714285715,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4666,"base":2},"right_expr":{"type":"numeric_atoms","value":2036,"base":2}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1268,"base":2}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2713,"base":2},"right_expr":{"type":"numeric_atoms","value":6803,"base":2}}}}},"used_operators":["apS25hmuAe","cHh1gJQ2o6","j9kHMeSvPp","4JB6nKBMSY","QiR2Oyf5Xj","k7HXdKtiEU","rysDP5nf3Z"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","COABgblf1C","xUOZtlo3hN","sdazOOVcIp","NTOWxs364D","COABgblf1C","7j4O788W3g","i8ToyICDmI","xUOZtlo3hN"],"result":"≮⫘↔10000001111101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4666","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=4666, right_input=2036, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=31682","layer":3},{"info":"number node, value=1268","layer":4},{"info":"compute unary expreesion, input=1268, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1268","layer":3},{"info":"compute binary expreesion, left_input=31682, right_input=1268, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=2713","layer":4},{"info":"number node, value=6803","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=6803, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4090","layer":3},{"info":"compute unary expreesion, input=-4090, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=3916","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=3916, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=8317","layer":0}],"base":2,"result_base":2,"text":"≅≯⇸((≮⫘↔1001000111010⇴≮⫘↔11111110100)⪭(∷≠≮⫘↔10011110100))⩘(⊲⪭(≮⫘↔101010011001-≮⫘↔1101010010011))=≮⫘↔10000001111101","reverse_text":"≮⫘↔10000001111101=≅≯⇸((≮⫘↔1001000111010⇴≮⫘↔11111110100)⪭(∷≠≮⫘↔10011110100))⩘(⊲⪭(≮⫘↔101010011001-≮⫘↔1101010010011))","cot":[{"info":"≮⫘↔1001000111010⇴≮⫘↔11111110100=≮⫘↔111101111000010","layer":3},{"info":"∷≠≮⫘↔10011110100=≮⫘↔10011110100","layer":3},{"info":"≮⫘↔111101111000010⪭≮⫘↔10011110100=≮⫘↔101","layer":2},{"info":"≮⫘↔101010011001-≮⫘↔1101010010011=≮⫘↔-111111111010","layer":3},{"info":"⊲⪭≮⫘↔-111111111010=≮⫘↔111101001100","layer":2},{"info":"≮⫘↔101⩘≮⫘↔111101001100=≮⫘↔10100000","layer":1},{"info":"≅≯⇸≮⫘↔10100000=≮⫘↔10000001111101","layer":0}]}
{"id":66,"expression_no_base_symbol":"((⇾⩊⇾(⩦⩻⨪$3874$))⪘⫢(($3158$-$1022$)∐⫣))⇤(((∤$2777$)⊋≦⊧(≦∁$9796$))⨓(⨦⪝($3677$⫲≸⪮$1425$)))","expression":"((⇾⩊⇾(⩦⩻⨪≮⫘↔111100100010))⪘⫢((≮⫘↔110001010110-≮⫘↔1111111110)∐⫣))⇤(((∤≮⫘↔101011011001)⊋≦⊧(≦∁≮⫘↔10011001000100))⨓(⨦⪝(≮⫘↔111001011101⫲≸⪮≮⫘↔10110010001)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5680,"operation_count":12,"complexity_ratio":473.3333333333333,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3874,"base":2}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3158,"base":2},"right_expr":{"type":"numeric_atoms","value":1022,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2777,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":9796,"base":2}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3677,"base":2},"right_expr":{"type":"numeric_atoms","value":1425,"base":2}}}}},"used_operators":["YSKBFp38Pu","oacrs7FA3X","bx9Z9DAK5y","2td37pGCOC","4CyGpkTkEk","rysDP5nf3Z","3ViojmjbAp","oRDoc9rAEX","k2HlF1dBQh","9ICcGScMcE","SUjycxNXIR","P3lXMJvFrc"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≮⫘↔-1100110011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3874","layer":4},{"info":"compute unary expreesion, input=3874, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3874","layer":3},{"info":"compute unary expreesion, input=3874, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-41352","layer":2},{"info":"number node, value=3158","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=3158, right_input=1022, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2136","layer":3},{"info":"compute unary expreesion, input=2136, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":2},{"info":"compute binary expreesion, left_input=-41352, right_input=551, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"number node, value=2777","layer":4},{"info":"compute unary expreesion, input=2777, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=9796","layer":4},{"info":"compute unary expreesion, input=9796, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=9796","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=9796, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=3677","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=3677, right_input=1425, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3677","layer":3},{"info":"compute unary expreesion, input=3677, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-1884, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1881","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=1881, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-6552","layer":0}],"base":2,"result_base":2,"text":"((⇾⩊⇾(⩦⩻⨪≮⫘↔111100100010))⪘⫢((≮⫘↔110001010110-≮⫘↔1111111110)∐⫣))⇤(((∤≮⫘↔101011011001)⊋≦⊧(≦∁≮⫘↔10011001000100))⨓(⨦⪝(≮⫘↔111001011101⫲≸⪮≮⫘↔10110010001)))=≮⫘↔-1100110011000","reverse_text":"≮⫘↔-1100110011000=((⇾⩊⇾(⩦⩻⨪≮⫘↔111100100010))⪘⫢((≮⫘↔110001010110-≮⫘↔1111111110)∐⫣))⇤(((∤≮⫘↔101011011001)⊋≦⊧(≦∁≮⫘↔10011001000100))⨓(⨦⪝(≮⫘↔111001011101⫲≸⪮≮⫘↔10110010001)))","cot":[{"info":"⩦⩻⨪≮⫘↔111100100010=≮⫘↔111100100010","layer":3},{"info":"⇾⩊⇾≮⫘↔111100100010=≮⫘↔-1010000110001000","layer":2},{"info":"≮⫘↔110001010110-≮⫘↔1111111110=≮⫘↔100001011000","layer":3},{"info":"≮⫘↔100001011000∐⫣=≮⫘↔1000100111","layer":2},{"info":"≮⫘↔-1010000110001000⪘⫢≮⫘↔1000100111=≮⫘↔-1","layer":1},{"info":"∤≮⫘↔101011011001=≮⫘↔1001","layer":3},{"info":"≦∁≮⫘↔10011001000100=≮⫘↔10011001000100","layer":3},{"info":"≮⫘↔1001⊋≦⊧≮⫘↔10011001000100=≮⫘↔11000000","layer":2},{"info":"≮⫘↔111001011101⫲≸⪮≮⫘↔10110010001=≮⫘↔111001011101","layer":3},{"info":"⨦⪝≮⫘↔111001011101=≮⫘↔-11101011100","layer":2},{"info":"≮⫘↔11000000⨓≮⫘↔-11101011100=≮⫘↔11101011001","layer":1},{"info":"≮⫘↔-1⇤≮⫘↔11101011001=≮⫘↔-1100110011000","layer":0}]}
{"id":67,"expression_no_base_symbol":"((($4288$⊚⫡⫭)∽$1406$⩌⋺$2501$)⊅)⋓(⫖→($5046$⪨≂$2650$))≠≀$4043$⪬$6659$⇤(⩦⊞$3852$)","expression":"(((≮⫘↔1000011000000⊚⫡⫭)∽≮⫘↔10101111110⩌⋺≮⫘↔100111000101)⊅)⋓(⫖→(≮⫘↔1001110110110⪨≂≮⫘↔101001011010))≠≀≮⫘↔111111001011⪬≮⫘↔1101000000011⇤(⩦⊞≮⫘↔111100001100)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5872,"operation_count":11,"complexity_ratio":533.8181818181819,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":4288,"base":2}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1406,"base":2},"right_expr":{"type":"numeric_atoms","value":2501,"base":2}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5046,"base":2},"right_expr":{"type":"numeric_atoms","value":2650,"base":2}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4043,"base":2},"right_expr":{"type":"numeric_atoms","value":6659,"base":2}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3852,"base":2}}}}},"used_operators":["T2fj7uvVaJ","7p6YLioM7f","y4ImoPnbV5","SpZWOsLKZJ","g7Hmc5v1ko","IwW236VD4Y","U4ylXWHChL","sdazOOVcIp","YSKBFp38Pu","Ez1Nq5fNfI","u7fv1HBiaC"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","NTOWxs364D","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4288","layer":4},{"info":"compute unary expreesion, input=4288, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-7650","layer":3},{"info":"number node, value=1406","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=2501, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4028","layer":3},{"info":"compute binary expreesion, left_input=-7650, right_input=-4028, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=50512","layer":2},{"info":"compute unary expreesion, input=50512, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":1},{"info":"number node, value=5046","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=5046, right_input=2650, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4894","layer":3},{"info":"compute unary expreesion, input=4894, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=4043","layer":4},{"info":"number node, value=6659","layer":4},{"info":"compute binary expreesion, left_input=4043, right_input=6659, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=3852","layer":4},{"info":"compute unary expreesion, input=3852, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3579","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-3579, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=14573","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=14573, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-48","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-48, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1000011000000⊚⫡⫭)∽≮⫘↔10101111110⩌⋺≮⫘↔100111000101)⊅)⋓(⫖→(≮⫘↔1001110110110⪨≂≮⫘↔101001011010))≠≀≮⫘↔111111001011⪬≮⫘↔1101000000011⇤(⩦⊞≮⫘↔111100001100)=≮⫘↔0","reverse_text":"≮⫘↔0=(((≮⫘↔1000011000000⊚⫡⫭)∽≮⫘↔10101111110⩌⋺≮⫘↔100111000101)⊅)⋓(⫖→(≮⫘↔1001110110110⪨≂≮⫘↔101001011010))≠≀≮⫘↔111111001011⪬≮⫘↔1101000000011⇤(⩦⊞≮⫘↔111100001100)","cot":[{"info":"≮⫘↔1000011000000⊚⫡⫭=≮⫘↔-1110111100010","layer":3},{"info":"≮⫘↔10101111110⩌⋺≮⫘↔100111000101=≮⫘↔-111110111100","layer":3},{"info":"≮⫘↔-1110111100010∽≮⫘↔-111110111100=≮⫘↔1100010101010000","layer":2},{"info":"≮⫘↔1100010101010000⊅=≮⫘↔-10101110","layer":1},{"info":"≮⫘↔1001110110110⪨≂≮⫘↔101001011010=≮⫘↔1001100011110","layer":3},{"info":"⫖→≮⫘↔1001100011110=≮⫘↔10110001","layer":2},{"info":"≮⫘↔111111001011⪬≮⫘↔1101000000011=≮⫘↔10011010010","layer":3},{"info":"⩦⊞≮⫘↔111100001100=≮⫘↔-110111111011","layer":3},{"info":"≮⫘↔10011010010⇤≮⫘↔-110111111011=≮⫘↔11100011101101","layer":2},{"info":"≮⫘↔10110001≠≀≮⫘↔11100011101101=≮⫘↔-110000","layer":1},{"info":"≮⫘↔-10101110⋓≮⫘↔-110000=≮⫘↔0","layer":0}]}
{"id":68,"expression_no_base_symbol":"(($7491$⪷)∪⫐$1150$∋$1626$)∼($2712$⪎↠$8294$⫰⋱($2727$↯⫤))∕⩚($3105$⩦$1177$+$2626$⪛⫼$1186$)⪕($1012$≧⫂∧$1867$)∓⋝$8564$↤⩊$4846$","expression":"((≮⫘↔1110101000011⪷)∪⫐≮⫘↔10001111110∋≮⫘↔11001011010)∼(≮⫘↔101010011000⪎↠≮⫘↔10000001100110⫰⋱(≮⫘↔101010100111↯⫤))∕⩚(≮⫘↔110000100001⩦≮⫘↔10010011001+≮⫘↔101001000010⪛⫼≮⫘↔10010100010)⪕(≮⫘↔1111110100≧⫂∧≮⫘↔11101001011)∓⋝≮⫘↔10000101110100↤⩊≮⫘↔1001011101110","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8559,"operation_count":15,"complexity_ratio":570.6,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":7491,"base":2}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1150,"base":2},"right_expr":{"type":"numeric_atoms","value":1626,"base":2}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2712,"base":2},"right_expr":{"type":"numeric_atoms","value":8294,"base":2}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":2727,"base":2}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3105,"base":2},"right_expr":{"type":"numeric_atoms","value":1177,"base":2}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2626,"base":2},"right_expr":{"type":"numeric_atoms","value":1186,"base":2}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":1867,"base":2}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":8564,"base":2},"right_expr":{"type":"numeric_atoms","value":4846,"base":2}}}}},"used_operators":["z9ffQ9n5Zr","DyGG3AbaNP","7YooWSwCyH","Qctrpi3WzA","ukq6epAj5P","6o9Blt3TJ6","3tVxb0NHM4","VwlE7vj6HS","umQnsF7QlU","W4YGzv6Whe","0kmYd0q39Y","hyuBjUqXlG","PoHhknlbAi","Ph9nP6C5qx","13rbtpv6ld"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","2DDjHMKMc0","Nsiff2A1zJ","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7491","layer":4},{"info":"compute unary expreesion, input=7491, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=1626, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3375200","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3375200, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"number node, value=2712","layer":4},{"info":"number node, value=8294","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=8294, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=2727","layer":4},{"info":"compute unary expreesion, input=2727, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-127","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-127, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=3105","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=3105, right_input=1177, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6210","layer":3},{"info":"number node, value=2626","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=1186, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=6210, right_input=968, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7178","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1867, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1394","layer":3},{"info":"number node, value=8564","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=8564, right_input=4846, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1394, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=7178, right_input=67, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=15190","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=15190, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110101000011⪷)∪⫐≮⫘↔10001111110∋≮⫘↔11001011010)∼(≮⫘↔101010011000⪎↠≮⫘↔10000001100110⫰⋱(≮⫘↔101010100111↯⫤))∕⩚(≮⫘↔110000100001⩦≮⫘↔10010011001+≮⫘↔101001000010⪛⫼≮⫘↔10010100010)⪕(≮⫘↔1111110100≧⫂∧≮⫘↔11101001011)∓⋝≮⫘↔10000101110100↤⩊≮⫘↔1001011101110=NaN","reverse_text":"NaN=((≮⫘↔1110101000011⪷)∪⫐≮⫘↔10001111110∋≮⫘↔11001011010)∼(≮⫘↔101010011000⪎↠≮⫘↔10000001100110⫰⋱(≮⫘↔101010100111↯⫤))∕⩚(≮⫘↔110000100001⩦≮⫘↔10010011001+≮⫘↔101001000010⪛⫼≮⫘↔10010100010)⪕(≮⫘↔1111110100≧⫂∧≮⫘↔11101001011)∓⋝≮⫘↔10000101110100↤⩊≮⫘↔1001011101110","cot":[{"info":"≮⫘↔1110101000011⪷=NaN","layer":3},{"info":"≮⫘↔10001111110∋≮⫘↔11001011010=≮⫘↔1100111000000001100000","layer":3},{"info":"NaN∪⫐≮⫘↔1100111000000001100000=NaN","layer":2},{"info":"≮⫘↔101010011000⪎↠≮⫘↔10000001100110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔101010100111↯⫤=≮⫘↔0","layer":3},{"info":"≮⫘↔10100000⫰⋱≮⫘↔0=≮⫘↔-1111111","layer":2},{"info":"NaN∼≮⫘↔-1111111=≮⫘↔0","layer":1},{"info":"≮⫘↔110000100001⩦≮⫘↔10010011001=≮⫘↔1100001000010","layer":3},{"info":"≮⫘↔101001000010⪛⫼≮⫘↔10010100010=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔1100001000010+≮⫘↔1111001000=≮⫘↔1110000001010","layer":2},{"info":"≮⫘↔1111110100≧⫂∧≮⫘↔11101001011=≮⫘↔10101110010","layer":3},{"info":"≮⫘↔10000101110100↤⩊≮⫘↔1001011101110=NaN","layer":3},{"info":"≮⫘↔10101110010∓⋝NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1110000001010⪕≮⫘↔1000011=≮⫘↔11101101010110","layer":1},{"info":"≮⫘↔0∕⩚≮⫘↔11101101010110=NaN","layer":0}]}
{"id":69,"expression_no_base_symbol":"(($5530$↡⊰⫅$2202$)∺≝⩲(⇜⊴$4626$)⨰(($4752$⨒$2596$)⪕(⩦⊞$1580$)))⩘(($7348$≭$1872$)∌↝($2010$⊭↱$2035$))⫁($3355$≭$1765$⫩⊇)","expression":"((≮⫘↔1010110011010↡⊰⫅≮⫘↔100010011010)∺≝⩲(⇜⊴≮⫘↔1001000010010)⨰((≮⫘↔1001010010000⨒≮⫘↔101000100100)⪕(⩦⊞≮⫘↔11000101100)))⩘((≮⫘↔1110010110100≭≮⫘↔11101010000)∌↝(≮⫘↔11111011010⊭↱≮⫘↔11111110011))⫁(≮⫘↔110100011011≭≮⫘↔11011100101⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33447,"operation_count":14,"complexity_ratio":2389.0714285714284,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5530,"base":2},"right_expr":{"type":"numeric_atoms","value":2202,"base":2}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4626,"base":2}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4752,"base":2},"right_expr":{"type":"numeric_atoms","value":2596,"base":2}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1580,"base":2}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7348,"base":2},"right_expr":{"type":"numeric_atoms","value":1872,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2010,"base":2},"right_expr":{"type":"numeric_atoms","value":2035,"base":2}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3355,"base":2},"right_expr":{"type":"numeric_atoms","value":1765,"base":2}}}}},"used_operators":["cHh1gJQ2o6","eewbuw0ToL","KPf6cnQVty","VCtxkLNOzz","XwDhCwWbUn","umQnsF7QlU","y75s1iXyHd","u7fv1HBiaC","0ajvFaJAv0","9Isq31Ruls","rxpJgHHUmx","COABgblf1C","BjRHVeLaeN"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","cHh1gJQ2o6","AHs5Up7iyr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5530","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=5530, right_input=2202, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4404","layer":3},{"info":"number node, value=4626","layer":4},{"info":"compute unary expreesion, input=4626, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1078022","layer":3},{"info":"compute binary expreesion, left_input=4404, right_input=-1078022, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=4752","layer":4},{"info":"number node, value=2596","layer":4},{"info":"compute binary expreesion, left_input=4752, right_input=2596, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-28140","layer":3},{"info":"number node, value=1580","layer":4},{"info":"compute unary expreesion, input=1580, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1307","layer":3},{"info":"compute binary expreesion, left_input=-28140, right_input=-1307, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=935, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-765","layer":1},{"info":"number node, value=7348","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=7348, right_input=1872, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2010","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=2035, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=55","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=55, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":2},{"info":"number node, value=3355","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=3355, right_input=1765, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-765, right_input=160, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010110011010↡⊰⫅≮⫘↔100010011010)∺≝⩲(⇜⊴≮⫘↔1001000010010)⨰((≮⫘↔1001010010000⨒≮⫘↔101000100100)⪕(⩦⊞≮⫘↔11000101100)))⩘((≮⫘↔1110010110100≭≮⫘↔11101010000)∌↝(≮⫘↔11111011010⊭↱≮⫘↔11111110011))⫁(≮⫘↔110100011011≭≮⫘↔11011100101⫩⊇)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((≮⫘↔1010110011010↡⊰⫅≮⫘↔100010011010)∺≝⩲(⇜⊴≮⫘↔1001000010010)⨰((≮⫘↔1001010010000⨒≮⫘↔101000100100)⪕(⩦⊞≮⫘↔11000101100)))⩘((≮⫘↔1110010110100≭≮⫘↔11101010000)∌↝(≮⫘↔11111011010⊭↱≮⫘↔11111110011))⫁(≮⫘↔110100011011≭≮⫘↔11011100101⫩⊇)","cot":[{"info":"≮⫘↔1010110011010↡⊰⫅≮⫘↔100010011010=≮⫘↔1000100110100","layer":3},{"info":"⇜⊴≮⫘↔1001000010010=≮⫘↔-100000111001100000110","layer":3},{"info":"≮⫘↔1000100110100∺≝⩲≮⫘↔-100000111001100000110=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1001010010000⨒≮⫘↔101000100100=≮⫘↔-110110111101100","layer":3},{"info":"⩦⊞≮⫘↔11000101100=≮⫘↔-10100011011","layer":3},{"info":"≮⫘↔-110110111101100⪕≮⫘↔-10100011011=≮⫘↔1110100111","layer":2},{"info":"≮⫘↔10100000⨰≮⫘↔1110100111=≮⫘↔-1011111101","layer":1},{"info":"≮⫘↔1110010110100≭≮⫘↔11101010000=NaN","layer":3},{"info":"≮⫘↔11111011010⊭↱≮⫘↔11111110011=≮⫘↔110111","layer":3},{"info":"NaN∌↝≮⫘↔110111=NaN","layer":2},{"info":"≮⫘↔110100011011≭≮⫘↔11011100101=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"NaN⫁NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔-1011111101⩘≮⫘↔10100000=≮⫘↔10100000","layer":0}]}
{"id":70,"expression_no_base_symbol":"($2491$⪘⫢$1685$⫲)⫒⫫(≦∁$3612$↳≱$1146$)⨔≚≋(⊙↵-($1527$⫔⩽⩺$8262$))⨂≜((∤$1544$)⊋≦⊧($1095$∠⫱$4100$))","expression":"(≮⫘↔100110111011⪘⫢≮⫘↔11010010101⫲)⫒⫫(≦∁≮⫘↔111000011100↳≱≮⫘↔10001111010)⨔≚≋(⊙↵-(≮⫘↔10111110111⫔⩽⩺≮⫘↔10000001000110))⨂≜((∤≮⫘↔11000001000)⊋≦⊧(≮⫘↔10001000111∠⫱≮⫘↔1000000000100))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37166,"operation_count":12,"complexity_ratio":3097.1666666666665,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2491,"base":2},"right_expr":{"type":"numeric_atoms","value":1685,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3612,"base":2},"right_expr":{"type":"numeric_atoms","value":1146,"base":2}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1527,"base":2},"right_expr":{"type":"numeric_atoms","value":8262,"base":2}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1544,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1095,"base":2},"right_expr":{"type":"numeric_atoms","value":4100,"base":2}}}}},"used_operators":["Z57zeUYC9z","6Ko8hGgeMq","9xnGDUPbC6","oacrs7FA3X","9ICcGScMcE","JwTKLfZU96","k1SHOSEABc","oWn0xqSxBt","i9eR4S00cU","oRDoc9rAEX","k2HlF1dBQh","QvoQhV0rrE"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tw270M8GLb","fu6greOZ01","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2491","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=1685, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4858","layer":3},{"info":"compute unary expreesion, input=4858, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=4585","layer":2},{"info":"number node, value=3612","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=1146, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=4585, right_input=-320, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1527","layer":4},{"info":"number node, value=8262","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=8262, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=4100, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=1234, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100110111011⪘⫢≮⫘↔11010010101⫲)⫒⫫(≦∁≮⫘↔111000011100↳≱≮⫘↔10001111010)⨔≚≋(⊙↵-(≮⫘↔10111110111⫔⩽⩺≮⫘↔10000001000110))⨂≜((∤≮⫘↔11000001000)⊋≦⊧(≮⫘↔10001000111∠⫱≮⫘↔1000000000100))=NaN","reverse_text":"NaN=(≮⫘↔100110111011⪘⫢≮⫘↔11010010101⫲)⫒⫫(≦∁≮⫘↔111000011100↳≱≮⫘↔10001111010)⨔≚≋(⊙↵-(≮⫘↔10111110111⫔⩽⩺≮⫘↔10000001000110))⨂≜((∤≮⫘↔11000001000)⊋≦⊧(≮⫘↔10001000111∠⫱≮⫘↔1000000000100))","cot":[{"info":"≮⫘↔100110111011⪘⫢≮⫘↔11010010101=≮⫘↔1001011111010","layer":3},{"info":"≮⫘↔1001011111010⫲=≮⫘↔1000111101001","layer":2},{"info":"≮⫘↔111000011100↳≱≮⫘↔10001111010=≮⫘↔0","layer":3},{"info":"≦∁≮⫘↔0=≮⫘↔-101000000","layer":2},{"info":"≮⫘↔1000111101001⫒⫫≮⫘↔-101000000=NaN","layer":1},{"info":"≮⫘↔10111110111⫔⩽⩺≮⫘↔10000001000110=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"∤≮⫘↔11000001000=≮⫘↔1001","layer":3},{"info":"≮⫘↔10001000111∠⫱≮⫘↔1000000000100=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1001⊋≦⊧≮⫘↔10011010010=≮⫘↔11000000","layer":2},{"info":"NaN⨂≜≮⫘↔11000000=NaN","layer":1},{"info":"NaN⨔≚≋NaN=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"⨮↦↱((∤↝($5411$%$3148$))⩨(⨡↴$3154$⇂≾⫗$1930$))","expression":"⨮↦↱((∤↝(≮⫘↔1010100100011%≮⫘↔110001001100))⩨(⨡↴≮⫘↔110001010010⇂≾⫗≮⫘↔11110001010))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":589,"operation_count":6,"complexity_ratio":98.16666666666667,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5411,"base":2},"right_expr":{"type":"numeric_atoms","value":3148,"base":2}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3154,"base":2},"right_expr":{"type":"numeric_atoms","value":1930,"base":2}}}}},"used_operators":["sYcpBQ0cFf","2DlMacCsIx","3UMq87Qwqg","k8jYdgA6NY","liw5iZPkLH","aBQ6xLxuTc"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","W4YGzv6Whe","P8v4zCKN1o","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≮⫘↔-10101011101100001010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5411","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=5411, right_input=3148, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2263","layer":3},{"info":"compute unary expreesion, input=2263, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=2263","layer":2},{"info":"number node, value=3154","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=3154, right_input=1930, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=373","layer":2},{"info":"compute binary expreesion, left_input=2263, right_input=373, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-703242","layer":0}],"base":2,"result_base":2,"text":"⨮↦↱((∤↝(≮⫘↔1010100100011%≮⫘↔110001001100))⩨(⨡↴≮⫘↔110001010010⇂≾⫗≮⫘↔11110001010))=≮⫘↔-10101011101100001010","reverse_text":"≮⫘↔-10101011101100001010=⨮↦↱((∤↝(≮⫘↔1010100100011%≮⫘↔110001001100))⩨(⨡↴≮⫘↔110001010010⇂≾⫗≮⫘↔11110001010))","cot":[{"info":"≮⫘↔1010100100011%≮⫘↔110001001100=≮⫘↔100011010111","layer":3},{"info":"∤↝≮⫘↔100011010111=≮⫘↔100011010111","layer":2},{"info":"≮⫘↔110001010010⇂≾⫗≮⫘↔11110001010=≮⫘↔-1010100100","layer":3},{"info":"⨡↴≮⫘↔-1010100100=≮⫘↔101110101","layer":2},{"info":"≮⫘↔100011010111⩨≮⫘↔101110101=≮⫘↔0","layer":1},{"info":"⨮↦↱≮⫘↔0=≮⫘↔-10101011101100001010","layer":0}]}
{"id":72,"expression_no_base_symbol":"$6172$≦↸$1385$⇤($2189$⩚⊴⇥$1710$)⩧⪆($2771$⫸⊐$1794$⋷(≛$3364$))⪄(≛($5246$∽$2057$))∊∟⩊((↩$3650$)⫃⨇$1992$⨜⨶$4154$)","expression":"≮⫘↔1100000011100≦↸≮⫘↔10101101001⇤(≮⫘↔100010001101⩚⊴⇥≮⫘↔11010101110)⩧⪆(≮⫘↔101011010011⫸⊐≮⫘↔11100000010⋷(≛≮⫘↔110100100100))⪄(≛(≮⫘↔1010001111110∽≮⫘↔100000001001))∊∟⩊((↩≮⫘↔111001000010)⫃⨇≮⫘↔11111001000⨜⨶≮⫘↔1000000111010)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":280,"operation_count":14,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":6172,"base":2},"right_expr":{"type":"numeric_atoms","value":1385,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2189,"base":2},"right_expr":{"type":"numeric_atoms","value":1710,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2771,"base":2},"right_expr":{"type":"numeric_atoms","value":1794,"base":2}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3364,"base":2}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5246,"base":2},"right_expr":{"type":"numeric_atoms","value":2057,"base":2}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3650,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1992,"base":2},"right_expr":{"type":"numeric_atoms","value":4154,"base":2}}}}},"used_operators":["SUmda5xLS4","Ikt5ks8PT7","YSKBFp38Pu","RygbFNSyEJ","NTOWxs364D","23Mk6UjR3U","mqXw5SEYmG","W7eaUhjymW","ddLRYrp01A","y4ImoPnbV5","09Ly4LVMIf","jLgFTUHLKL","HiPekx5b7W"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≮⫘↔-100011101111101100101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6172","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=6172, right_input=1385, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14433","layer":3},{"info":"number node, value=2189","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=2189, right_input=1710, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4020","layer":3},{"info":"compute binary expreesion, left_input=-14433, right_input=-4020, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=95113","layer":2},{"info":"number node, value=2771","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=2771, right_input=1794, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7051","layer":3},{"info":"number node, value=3364","layer":4},{"info":"compute unary expreesion, input=3364, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=7051, right_input=-10, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-7071","layer":2},{"info":"compute binary expreesion, left_input=95113, right_input=-7071, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=7071","layer":1},{"info":"number node, value=5246","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=5246, right_input=2057, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-32223","layer":3},{"info":"compute unary expreesion, input=-32223, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-64683","layer":2},{"info":"number node, value=3650","layer":4},{"info":"compute unary expreesion, input=3650, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-26420","layer":3},{"info":"number node, value=1992","layer":4},{"info":"number node, value=4154","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=4154, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-8052","layer":3},{"info":"compute binary expreesion, left_input=-26420, right_input=-8052, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=32176","layer":2},{"info":"compute binary expreesion, left_input=-64683, right_input=32176, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=32176","layer":1},{"info":"compute binary expreesion, left_input=7071, right_input=32176, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1171301","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔1100000011100≦↸≮⫘↔10101101001⇤(≮⫘↔100010001101⩚⊴⇥≮⫘↔11010101110)⩧⪆(≮⫘↔101011010011⫸⊐≮⫘↔11100000010⋷(≛≮⫘↔110100100100))⪄(≛(≮⫘↔1010001111110∽≮⫘↔100000001001))∊∟⩊((↩≮⫘↔111001000010)⫃⨇≮⫘↔11111001000⨜⨶≮⫘↔1000000111010)=≮⫘↔-100011101111101100101","reverse_text":"≮⫘↔-100011101111101100101=≮⫘↔1100000011100≦↸≮⫘↔10101101001⇤(≮⫘↔100010001101⩚⊴⇥≮⫘↔11010101110)⩧⪆(≮⫘↔101011010011⫸⊐≮⫘↔11100000010⋷(≛≮⫘↔110100100100))⪄(≛(≮⫘↔1010001111110∽≮⫘↔100000001001))∊∟⩊((↩≮⫘↔111001000010)⫃⨇≮⫘↔11111001000⨜⨶≮⫘↔1000000111010)","cot":[{"info":"≮⫘↔1100000011100≦↸≮⫘↔10101101001=≮⫘↔-11100001100001","layer":3},{"info":"≮⫘↔100010001101⩚⊴⇥≮⫘↔11010101110=≮⫘↔-111110110100","layer":3},{"info":"≮⫘↔-11100001100001⇤≮⫘↔-111110110100=≮⫘↔10111001110001001","layer":2},{"info":"≮⫘↔101011010011⫸⊐≮⫘↔11100000010=≮⫘↔1101110001011","layer":3},{"info":"≛≮⫘↔110100100100=≮⫘↔-1010","layer":3},{"info":"≮⫘↔1101110001011⋷≮⫘↔-1010=≮⫘↔-1101110011111","layer":2},{"info":"≮⫘↔10111001110001001⩧⪆≮⫘↔-1101110011111=≮⫘↔1101110011111","layer":1},{"info":"≮⫘↔1010001111110∽≮⫘↔100000001001=≮⫘↔-111110111011111","layer":3},{"info":"≛≮⫘↔-111110111011111=≮⫘↔-1111110010101011","layer":2},{"info":"↩≮⫘↔111001000010=≮⫘↔-110011100110100","layer":3},{"info":"≮⫘↔11111001000⨜⨶≮⫘↔1000000111010=≮⫘↔-1111101110100","layer":3},{"info":"≮⫘↔-110011100110100⫃⨇≮⫘↔-1111101110100=≮⫘↔111110110110000","layer":2},{"info":"≮⫘↔-1111110010101011∊∟⩊≮⫘↔111110110110000=≮⫘↔111110110110000","layer":1},{"info":"≮⫘↔1101110011111⪄≮⫘↔111110110110000=≮⫘↔-100011101111101100101","layer":0}]}
{"id":73,"expression_no_base_symbol":"((($2462$⋩≍≻)⨉)⩟)⩏","expression":"(((≮⫘↔100110011110⋩≍≻)⨉)⩟)⩏","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":321,"operation_count":4,"complexity_ratio":80.25,"tree":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2462,"base":2}}}}},"used_operators":["iA2gmKZ3Wj","fOIeswaMU4","aMUSaJuDRU","WYd1w68Nbz"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2462","layer":4},{"info":"compute unary expreesion, input=2462, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2438","layer":2},{"info":"compute unary expreesion, input=2438, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-20715","layer":1},{"info":"compute unary expreesion, input=-20715, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔100110011110⋩≍≻)⨉)⩟)⩏=≮⫘↔0","reverse_text":"≮⫘↔0=(((≮⫘↔100110011110⋩≍≻)⨉)⩟)⩏","cot":[{"info":"≮⫘↔100110011110⋩≍≻=≮⫘↔-110111","layer":3},{"info":"≮⫘↔-110111⨉=≮⫘↔100110000110","layer":2},{"info":"≮⫘↔100110000110⩟=≮⫘↔-101000011101011","layer":1},{"info":"≮⫘↔-101000011101011⩏=≮⫘↔0","layer":0}]}
{"id":74,"expression_no_base_symbol":"(($7827$⫲≸⪮$1449$)⪔⊥$4432$≎⪠$1658$∕⩚(⊈$1586$)%$1910$⨫⇇↔$3327$)≚⊃≕($2473$⇻⋧≁$1821$⪊≅)∥⊢⊲(⇈$1726$)⨿($1812$⫸⇳$2655$)","expression":"((≮⫘↔1111010010011⫲≸⪮≮⫘↔10110101001)⪔⊥≮⫘↔1000101010000≎⪠≮⫘↔11001111010∕⩚(⊈≮⫘↔11000110010)%≮⫘↔11101110110⨫⇇↔≮⫘↔110011111111)≚⊃≕(≮⫘↔100110101001⇻⋧≁≮⫘↔11100011101⪊≅)∥⊢⊲(⇈≮⫘↔11010111110)⨿(≮⫘↔11100010100⫸⇳≮⫘↔101001011111)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":32567,"operation_count":14,"complexity_ratio":2326.214285714286,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":7827,"base":2},"right_expr":{"type":"numeric_atoms","value":1449,"base":2}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4432,"base":2},"right_expr":{"type":"numeric_atoms","value":1658,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1586,"base":2}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1910,"base":2},"right_expr":{"type":"numeric_atoms","value":3327,"base":2}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2473,"base":2},"right_expr":{"type":"numeric_atoms","value":1821,"base":2}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1726,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1812,"base":2},"right_expr":{"type":"numeric_atoms","value":2655,"base":2}}}}},"used_operators":["Bmrmz2XGnR","z9ffQ9n5Zr","HJ9erzHUuu","P3lXMJvFrc","aNhz54LH3e","k8jYdgA6NY","RHru8klgy8","LXhwmt4mBO","v1UQAVDJRr","bjFbhXSADs","jCPkEVoL5K","abYXlopdE0","SLLxy00UIr","gx7XJ7hdpj"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","12rbrZMWeM","xUOZtlo3hN","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","EBcxylXtPf","rGHVDoGpnC","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"≮⫘↔-1000101110110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7827","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=7827, right_input=1449, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7827","layer":3},{"info":"number node, value=4432","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=4432, right_input=1658, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=7827, right_input=19558, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-8007","layer":2},{"info":"number node, value=1586","layer":4},{"info":"compute unary expreesion, input=1586, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1760","layer":3},{"info":"number node, value=1910","layer":4},{"info":"number node, value=3327","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=3327, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-1760, right_input=-527, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-179","layer":2},{"info":"compute binary expreesion, left_input=-8007, right_input=-179, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=2473","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=1821, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"number node, value=1726","layer":4},{"info":"compute unary expreesion, input=1726, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1812","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=2655, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-4470","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111010010011⫲≸⪮≮⫘↔10110101001)⪔⊥≮⫘↔1000101010000≎⪠≮⫘↔11001111010∕⩚(⊈≮⫘↔11000110010)%≮⫘↔11101110110⨫⇇↔≮⫘↔110011111111)≚⊃≕(≮⫘↔100110101001⇻⋧≁≮⫘↔11100011101⪊≅)∥⊢⊲(⇈≮⫘↔11010111110)⨿(≮⫘↔11100010100⫸⇳≮⫘↔101001011111)=≮⫘↔-1000101110110","reverse_text":"≮⫘↔-1000101110110=((≮⫘↔1111010010011⫲≸⪮≮⫘↔10110101001)⪔⊥≮⫘↔1000101010000≎⪠≮⫘↔11001111010∕⩚(⊈≮⫘↔11000110010)%≮⫘↔11101110110⨫⇇↔≮⫘↔110011111111)≚⊃≕(≮⫘↔100110101001⇻⋧≁≮⫘↔11100011101⪊≅)∥⊢⊲(⇈≮⫘↔11010111110)⨿(≮⫘↔11100010100⫸⇳≮⫘↔101001011111)","cot":[{"info":"≮⫘↔1111010010011⫲≸⪮≮⫘↔10110101001=≮⫘↔1111010010011","layer":3},{"info":"≮⫘↔1000101010000≎⪠≮⫘↔11001111010=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔1111010010011⪔⊥≮⫘↔100110001100110=≮⫘↔-1111101000111","layer":2},{"info":"⊈≮⫘↔11000110010=≮⫘↔-11011100000","layer":3},{"info":"≮⫘↔11101110110⨫⇇↔≮⫘↔110011111111=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔-11011100000%≮⫘↔-1000001111=≮⫘↔-10110011","layer":2},{"info":"≮⫘↔-1111101000111∕⩚≮⫘↔-10110011=≮⫘↔-111100111","layer":1},{"info":"≮⫘↔100110101001⇻⋧≁≮⫘↔11100011101=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-110111111⪊≅=≮⫘↔0","layer":2},{"info":"⇈≮⫘↔11010111110=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔11100010100⫸⇳≮⫘↔101001011111=≮⫘↔0","layer":3},{"info":"≮⫘↔-110111111⨿≮⫘↔0=≮⫘↔1000011","layer":2},{"info":"≮⫘↔0∥⊢⊲≮⫘↔1000011=≮⫘↔0","layer":1},{"info":"≮⫘↔-111100111≚⊃≕≮⫘↔0=≮⫘↔-1000101110110","layer":0}]}
{"id":75,"expression_no_base_symbol":"($2526$⋾⨃∁$1032$⩷∴($3391$⫸⊐$8102$))⪃⊛⇣(($2436$⊪)≀⫉(⋎⨆$2665$))⪨≂(($2979$⨕⋳)⊋≦⊧(⩩$4185$))↬$4401$⨂≜$1008$∌$4562$⋕⪉⪜$7226$","expression":"(≮⫘↔100111011110⋾⨃∁≮⫘↔10000001000⩷∴(≮⫘↔110100111111⫸⊐≮⫘↔1111110100110))⪃⊛⇣((≮⫘↔100110000100⊪)≀⫉(⋎⨆≮⫘↔101001101001))⪨≂((≮⫘↔101110100011⨕⋳)⊋≦⊧(⩩≮⫘↔1000001011001))↬≮⫘↔1000100110001⨂≜≮⫘↔1111110000∌≮⫘↔1000111010010⋕⪉⪜≮⫘↔1110000111010","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":11572,"operation_count":15,"complexity_ratio":771.4666666666667,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2526,"base":2},"right_expr":{"type":"numeric_atoms","value":1032,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3391,"base":2},"right_expr":{"type":"numeric_atoms","value":8102,"base":2}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2436,"base":2}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2665,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2979,"base":2}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4185,"base":2}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4401,"base":2},"right_expr":{"type":"numeric_atoms","value":1008,"base":2}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4562,"base":2},"right_expr":{"type":"numeric_atoms","value":7226,"base":2}}}}},"used_operators":["sdazOOVcIp","rrgAzCduG9","9FxExcQeMw","212REbPD9h","mqXw5SEYmG","oZj3VtZNQx","zVYPLywUTj","E64sFOc4tB","B5M0gjZbta","oRDoc9rAEX","4X4GscPmMf","kMhfGuqI2H","8cLx32lpNA","k1SHOSEABc","z6LnFrNh4i"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rGHVDoGpnC","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2526","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=2526, right_input=1032, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10637762","layer":3},{"info":"number node, value=3391","layer":4},{"info":"number node, value=8102","layer":4},{"info":"compute binary expreesion, left_input=3391, right_input=8102, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=32283","layer":3},{"info":"compute binary expreesion, left_input=10637762, right_input=32283, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=21210926","layer":2},{"info":"number node, value=2436","layer":4},{"info":"compute unary expreesion, input=2436, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=2665","layer":4},{"info":"compute unary expreesion, input=2665, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=21210926, right_input=2822, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=2979","layer":4},{"info":"compute unary expreesion, input=2979, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=181780","layer":3},{"info":"number node, value=4185","layer":4},{"info":"compute unary expreesion, input=4185, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=181780, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=4401","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=4401, right_input=1008, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=4562","layer":4},{"info":"number node, value=7226","layer":4},{"info":"compute binary expreesion, left_input=4562, right_input=7226, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100111011110⋾⨃∁≮⫘↔10000001000⩷∴(≮⫘↔110100111111⫸⊐≮⫘↔1111110100110))⪃⊛⇣((≮⫘↔100110000100⊪)≀⫉(⋎⨆≮⫘↔101001101001))⪨≂((≮⫘↔101110100011⨕⋳)⊋≦⊧(⩩≮⫘↔1000001011001))↬≮⫘↔1000100110001⨂≜≮⫘↔1111110000∌≮⫘↔1000111010010⋕⪉⪜≮⫘↔1110000111010=NaN","reverse_text":"NaN=(≮⫘↔100111011110⋾⨃∁≮⫘↔10000001000⩷∴(≮⫘↔110100111111⫸⊐≮⫘↔1111110100110))⪃⊛⇣((≮⫘↔100110000100⊪)≀⫉(⋎⨆≮⫘↔101001101001))⪨≂((≮⫘↔101110100011⨕⋳)⊋≦⊧(⩩≮⫘↔1000001011001))↬≮⫘↔1000100110001⨂≜≮⫘↔1111110000∌≮⫘↔1000111010010⋕⪉⪜≮⫘↔1110000111010","cot":[{"info":"≮⫘↔100111011110⋾⨃∁≮⫘↔10000001000=≮⫘↔101000100101000111000010","layer":3},{"info":"≮⫘↔110100111111⫸⊐≮⫘↔1111110100110=≮⫘↔111111000011011","layer":3},{"info":"≮⫘↔101000100101000111000010⩷∴≮⫘↔111111000011011=≮⫘↔1010000111010011100101110","layer":2},{"info":"≮⫘↔100110000100⊪=≮⫘↔0","layer":3},{"info":"⋎⨆≮⫘↔101001101001=≮⫘↔0","layer":3},{"info":"≮⫘↔0≀⫉≮⫘↔0=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔1010000111010011100101110⪃⊛⇣≮⫘↔101100000110=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔101110100011⨕⋳=≮⫘↔101100011000010100","layer":3},{"info":"⩩≮⫘↔1000001011001=NaN","layer":3},{"info":"≮⫘↔101100011000010100⊋≦⊧NaN=NaN","layer":2},{"info":"≮⫘↔1000100110001⨂≜≮⫘↔1111110000=NaN","layer":3},{"info":"≮⫘↔1000111010010⋕⪉⪜≮⫘↔1110000111010=≮⫘↔11001100","layer":3},{"info":"NaN∌≮⫘↔11001100=≮⫘↔-11001100","layer":2},{"info":"NaN↬≮⫘↔-11001100=NaN","layer":1},{"info":"≮⫘↔10011010010⪨≂NaN=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"⨈⪑((⫡⇟⇯$1485$)≁($4737$⋥⋵⩄$3106$)∙⊟(($1963$⪘⨀)∖($7925$⨶)))","expression":"⨈⪑((⫡⇟⇯≮⫘↔10111001101)≁(≮⫘↔1001010000001⋥⋵⩄≮⫘↔110000100010)∙⊟((≮⫘↔11110101011⪘⨀)∖(≮⫘↔1111011110101⨶)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1944,"operation_count":8,"complexity_ratio":243.0,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1485,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4737,"base":2},"right_expr":{"type":"numeric_atoms","value":3106,"base":2}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1963,"base":2}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":7925,"base":2}}}}},"used_operators":["mp94q5OcYM","SxTAKzQCrw","8N2wDY1A35","qWUSsah53b","7t3wd0Fuz7","tXD093vOjl","aA7tF3KVD3","rFxw8gIMmB"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DZ8iAZOCBD","P8v4zCKN1o","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","f6k1SAg4EE","Qy55tPpLXF"],"result":"≮⫘↔1101100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1485","layer":4},{"info":"compute unary expreesion, input=1485, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3838","layer":3},{"info":"number node, value=4737","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=4737, right_input=3106, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=3838, right_input=113, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-353","layer":2},{"info":"number node, value=1963","layer":4},{"info":"compute unary expreesion, input=1963, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-4507","layer":3},{"info":"number node, value=7925","layer":4},{"info":"compute unary expreesion, input=7925, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=14104","layer":3},{"info":"compute binary expreesion, left_input=-4507, right_input=14104, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-353, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=20333","layer":1},{"info":"compute unary expreesion, input=20333, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":2,"result_base":2,"text":"⨈⪑((⫡⇟⇯≮⫘↔10111001101)≁(≮⫘↔1001010000001⋥⋵⩄≮⫘↔110000100010)∙⊟((≮⫘↔11110101011⪘⨀)∖(≮⫘↔1111011110101⨶)))=≮⫘↔1101100100","reverse_text":"≮⫘↔1101100100=⨈⪑((⫡⇟⇯≮⫘↔10111001101)≁(≮⫘↔1001010000001⋥⋵⩄≮⫘↔110000100010)∙⊟((≮⫘↔11110101011⪘⨀)∖(≮⫘↔1111011110101⨶)))","cot":[{"info":"⫡⇟⇯≮⫘↔10111001101=≮⫘↔111011111110","layer":3},{"info":"≮⫘↔1001010000001⋥⋵⩄≮⫘↔110000100010=≮⫘↔1110001","layer":3},{"info":"≮⫘↔111011111110≁≮⫘↔1110001=≮⫘↔-101100001","layer":2},{"info":"≮⫘↔11110101011⪘⨀=≮⫘↔-1000110011011","layer":3},{"info":"≮⫘↔1111011110101⨶=≮⫘↔11011100011000","layer":3},{"info":"≮⫘↔-1000110011011∖≮⫘↔11011100011000=≮⫘↔0","layer":2},{"info":"≮⫘↔-101100001∙⊟≮⫘↔0=≮⫘↔100111101101101","layer":1},{"info":"⨈⪑≮⫘↔100111101101101=≮⫘↔1101100100","layer":0}]}
{"id":77,"expression_no_base_symbol":"(($1702$⋓$4760$)⫚⫇)∌(⪝⪂⫅(∟⋨$6097$))⊍⩺⋍(↓⇌$1540$⇂≾⫗$3595$)⪥($1053$⊹∫⫚$1069$∲⫓$5248$∠↢$1726$)","expression":"((≮⫘↔11010100110⋓≮⫘↔1001010011000)⫚⫇)∌(⪝⪂⫅(∟⋨≮⫘↔1011111010001))⊍⩺⋍(↓⇌≮⫘↔11000000100⇂≾⫗≮⫘↔111000001011)⪥(≮⫘↔10000011101⊹∫⫚≮⫘↔10000101101∲⫓≮⫘↔1010010000000∠↢≮⫘↔11010111110)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6604,"operation_count":12,"complexity_ratio":550.3333333333334,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1702,"base":2},"right_expr":{"type":"numeric_atoms","value":4760,"base":2}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":6097,"base":2}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1540,"base":2},"right_expr":{"type":"numeric_atoms","value":3595,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1053,"base":2},"right_expr":{"type":"numeric_atoms","value":1069,"base":2}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5248,"base":2},"right_expr":{"type":"numeric_atoms","value":1726,"base":2}}}}},"used_operators":["OXDGMFPWZM","8cLx32lpNA","SdCjLnB6rR","T2fj7uvVaJ","XTarYq4gQB","ctOc4cKSDt","QbnwKVWMIQ","PxpmPgHHJV","aBQ6xLxuTc","i8ToyICDmI","uWAJUKEvyW","KbjG8mgYpV"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","8w2t5hMYqp","eLAdDNolq6","tmPS8pqC7x","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1702","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=4760, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1468","layer":2},{"info":"number node, value=6097","layer":4},{"info":"compute unary expreesion, input=6097, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-5613","layer":3},{"info":"compute unary expreesion, input=-5613, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=825111","layer":2},{"info":"compute binary expreesion, left_input=-1468, right_input=825111, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1468","layer":1},{"info":"number node, value=1540","layer":4},{"info":"number node, value=3595","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=3595, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-1352","layer":2},{"info":"number node, value=1053","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1069, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-80","layer":3},{"info":"number node, value=5248","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=5248, right_input=1726, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-44074","layer":3},{"info":"compute binary expreesion, left_input=-80, right_input=-44074, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-80","layer":2},{"info":"compute binary expreesion, left_input=-1352, right_input=-80, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":1},{"info":"compute binary expreesion, left_input=-1468, right_input=-1798, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11010100110⋓≮⫘↔1001010011000)⫚⫇)∌(⪝⪂⫅(∟⋨≮⫘↔1011111010001))⊍⩺⋍(↓⇌≮⫘↔11000000100⇂≾⫗≮⫘↔111000001011)⪥(≮⫘↔10000011101⊹∫⫚≮⫘↔10000101101∲⫓≮⫘↔1010010000000∠↢≮⫘↔11010111110)=NaN","reverse_text":"NaN=((≮⫘↔11010100110⋓≮⫘↔1001010011000)⫚⫇)∌(⪝⪂⫅(∟⋨≮⫘↔1011111010001))⊍⩺⋍(↓⇌≮⫘↔11000000100⇂≾⫗≮⫘↔111000001011)⪥(≮⫘↔10000011101⊹∫⫚≮⫘↔10000101101∲⫓≮⫘↔1010010000000∠↢≮⫘↔11010111110)","cot":[{"info":"≮⫘↔11010100110⋓≮⫘↔1001010011000=≮⫘↔0","layer":3},{"info":"≮⫘↔0⫚⫇=≮⫘↔-10110111100","layer":2},{"info":"∟⋨≮⫘↔1011111010001=≮⫘↔-1010111101101","layer":3},{"info":"⪝⪂⫅≮⫘↔-1010111101101=≮⫘↔11001001011100010111","layer":2},{"info":"≮⫘↔-10110111100∌≮⫘↔11001001011100010111=≮⫘↔-10110111100","layer":1},{"info":"≮⫘↔11000000100⇂≾⫗≮⫘↔111000001011=≮⫘↔-1010100100","layer":3},{"info":"↓⇌≮⫘↔-1010100100=≮⫘↔-10101001000","layer":2},{"info":"≮⫘↔10000011101⊹∫⫚≮⫘↔10000101101=≮⫘↔-1010000","layer":3},{"info":"≮⫘↔1010010000000∠↢≮⫘↔11010111110=≮⫘↔-1010110000101010","layer":3},{"info":"≮⫘↔-1010000∲⫓≮⫘↔-1010110000101010=≮⫘↔-1010000","layer":2},{"info":"≮⫘↔-10101001000⪥≮⫘↔-1010000=≮⫘↔-11100000110","layer":1},{"info":"≮⫘↔-10110111100⊍⩺⋍≮⫘↔-11100000110=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"((≤/$1177$⫘$3598$)∙⊟(⫟$1312$∼$2943$))⨿(⋼∭⪍($3447$≠≀$4943$)⩣⫁∢(⨮↦↱$1163$))","expression":"((≤/≮⫘↔10010011001⫘≮⫘↔111000001110)∙⊟(⫟≮⫘↔10100100000∼≮⫘↔101101111111))⨿(⋼∭⪍(≮⫘↔110101110111≠≀≮⫘↔1001101001111)⩣⫁∢(⨮↦↱≮⫘↔10010001011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2484,"operation_count":10,"complexity_ratio":248.4,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1177,"base":2},"right_expr":{"type":"numeric_atoms","value":3598,"base":2}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1312,"base":2},"right_expr":{"type":"numeric_atoms","value":2943,"base":2}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3447,"base":2},"right_expr":{"type":"numeric_atoms","value":4943,"base":2}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1163,"base":2}}}}},"used_operators":["abYXlopdE0","SxTAKzQCrw","eLAdDNolq6","48vC8HMD2b","z4E1FaHLuy","DyGG3AbaNP","DbCuESL50I","JDUIKTTSIa","IwW236VD4Y","sYcpBQ0cFf"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"≮⫘↔-100111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=3598, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1388557","layer":3},{"info":"compute unary expreesion, input=1388557, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1388073","layer":2},{"info":"number node, value=1312","layer":4},{"info":"number node, value=2943","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=2943, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1388073, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=18060693","layer":1},{"info":"number node, value=3447","layer":4},{"info":"number node, value=4943","layer":4},{"info":"compute binary expreesion, left_input=3447, right_input=4943, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6588","layer":3},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-1334751","layer":3},{"info":"compute binary expreesion, left_input=-6588, right_input=-1334751, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=26917","layer":2},{"info":"compute unary expreesion, input=26917, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-105928","layer":1},{"info":"compute binary expreesion, left_input=18060693, right_input=-105928, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":2,"result_base":2,"text":"((≤/≮⫘↔10010011001⫘≮⫘↔111000001110)∙⊟(⫟≮⫘↔10100100000∼≮⫘↔101101111111))⨿(⋼∭⪍(≮⫘↔110101110111≠≀≮⫘↔1001101001111)⩣⫁∢(⨮↦↱≮⫘↔10010001011))=≮⫘↔-100111111","reverse_text":"≮⫘↔-100111111=((≤/≮⫘↔10010011001⫘≮⫘↔111000001110)∙⊟(⫟≮⫘↔10100100000∼≮⫘↔101101111111))⨿(⋼∭⪍(≮⫘↔110101110111≠≀≮⫘↔1001101001111)⩣⫁∢(⨮↦↱≮⫘↔10010001011))","cot":[{"info":"≮⫘↔10010011001⫘≮⫘↔111000001110=≮⫘↔101010011000000001101","layer":3},{"info":"≤/≮⫘↔101010011000000001101=≮⫘↔-101010010111000101001","layer":2},{"info":"≮⫘↔10100100000∼≮⫘↔101101111111=NaN","layer":3},{"info":"⫟NaN=NaN","layer":2},{"info":"≮⫘↔-101010010111000101001∙⊟NaN=≮⫘↔1000100111001010110010101","layer":1},{"info":"≮⫘↔110101110111≠≀≮⫘↔1001101001111=≮⫘↔-1100110111100","layer":3},{"info":"⨮↦↱≮⫘↔10010001011=≮⫘↔-101000101110111011111","layer":3},{"info":"≮⫘↔-1100110111100⩣⫁∢≮⫘↔-101000101110111011111=≮⫘↔110100100100101","layer":2},{"info":"⋼∭⪍≮⫘↔110100100100101=≮⫘↔-11001110111001000","layer":1},{"info":"≮⫘↔1000100111001010110010101⨿≮⫘↔-11001110111001000=≮⫘↔-100111111","layer":0}]}
{"id":79,"expression_no_base_symbol":"($6609$⋕⪉⪜$1019$%($1321$⪨≂$3156$))⨥⫆((⪸$1793$)∣($1017$⊚⫡⫭))⨫⇇↔((↴⪽⋼$5480$⋹⋡⊁$1026$)⪭≯($1533$⨔⇊$6853$)⨔⇊($2115$⊭↱$2283$))","expression":"(≮⫘↔1100111010001⋕⪉⪜≮⫘↔1111111011%(≮⫘↔10100101001⪨≂≮⫘↔110001010100))⨥⫆((⪸≮⫘↔11100000001)∣(≮⫘↔1111111001⊚⫡⫭))⨫⇇↔((↴⪽⋼≮⫘↔1010101101000⋹⋡⊁≮⫘↔10000000010)⪭≯(≮⫘↔10111111101⨔⇊≮⫘↔1101011000101)⨔⇊(≮⫘↔100001000011⊭↱≮⫘↔100011101011))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":62846,"operation_count":14,"complexity_ratio":4489.0,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6609,"base":2},"right_expr":{"type":"numeric_atoms","value":1019,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1321,"base":2},"right_expr":{"type":"numeric_atoms","value":3156,"base":2}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1793,"base":2}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1017,"base":2}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5480,"base":2},"right_expr":{"type":"numeric_atoms","value":1026,"base":2}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1533,"base":2},"right_expr":{"type":"numeric_atoms","value":6853,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2115,"base":2},"right_expr":{"type":"numeric_atoms","value":2283,"base":2}}}}},"used_operators":["LXhwmt4mBO","yXekIHxTD4","k8jYdgA6NY","z6LnFrNh4i","sdazOOVcIp","PPChnnnBFF","86A5ENbKR9","SpZWOsLKZJ","XAx5wpdLa6","5TUYCnJO6w","As8RqfVLgs","JclMnS0uGI","COABgblf1C"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-1000001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6609","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=6609, right_input=1019, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=3156, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3568","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-3568, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-766","layer":2},{"info":"number node, value=1793","layer":4},{"info":"compute unary expreesion, input=1793, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-30272","layer":3},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1108","layer":3},{"info":"compute binary expreesion, left_input=-30272, right_input=-1108, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=30756","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=30756, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":1},{"info":"number node, value=5480","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=1026, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1776","layer":3},{"info":"compute unary expreesion, input=1776, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1776","layer":2},{"info":"number node, value=1533","layer":4},{"info":"number node, value=6853","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=6853, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6853","layer":3},{"info":"number node, value=2115","layer":4},{"info":"number node, value=2283","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=2283, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=341","layer":3},{"info":"compute binary expreesion, left_input=6853, right_input=341, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=341","layer":2},{"info":"compute binary expreesion, left_input=1776, right_input=341, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100111010001⋕⪉⪜≮⫘↔1111111011%(≮⫘↔10100101001⪨≂≮⫘↔110001010100))⨥⫆((⪸≮⫘↔11100000001)∣(≮⫘↔1111111001⊚⫡⫭))⨫⇇↔((↴⪽⋼≮⫘↔1010101101000⋹⋡⊁≮⫘↔10000000010)⪭≯(≮⫘↔10111111101⨔⇊≮⫘↔1101011000101)⨔⇊(≮⫘↔100001000011⊭↱≮⫘↔100011101011))=≮⫘↔-1000001111","reverse_text":"≮⫘↔-1000001111=(≮⫘↔1100111010001⋕⪉⪜≮⫘↔1111111011%(≮⫘↔10100101001⪨≂≮⫘↔110001010100))⨥⫆((⪸≮⫘↔11100000001)∣(≮⫘↔1111111001⊚⫡⫭))⨫⇇↔((↴⪽⋼≮⫘↔1010101101000⋹⋡⊁≮⫘↔10000000010)⪭≯(≮⫘↔10111111101⨔⇊≮⫘↔1101011000101)⨔⇊(≮⫘↔100001000011⊭↱≮⫘↔100011101011))","cot":[{"info":"≮⫘↔1100111010001⋕⪉⪜≮⫘↔1111111011=≮⫘↔101011110010","layer":3},{"info":"≮⫘↔10100101001⪨≂≮⫘↔110001010100=≮⫘↔-110111110000","layer":3},{"info":"≮⫘↔101011110010%≮⫘↔-110111110000=≮⫘↔-1011111110","layer":2},{"info":"⪸≮⫘↔11100000001=≮⫘↔-111011001000000","layer":3},{"info":"≮⫘↔1111111001⊚⫡⫭=≮⫘↔-10001010100","layer":3},{"info":"≮⫘↔-111011001000000∣≮⫘↔-10001010100=≮⫘↔111100000100100","layer":2},{"info":"≮⫘↔-1011111110⨥⫆≮⫘↔111100000100100=≮⫘↔0","layer":1},{"info":"≮⫘↔1010101101000⋹⋡⊁≮⫘↔10000000010=≮⫘↔11011110000","layer":3},{"info":"↴⪽⋼≮⫘↔11011110000=≮⫘↔11011110000","layer":2},{"info":"≮⫘↔10111111101⨔⇊≮⫘↔1101011000101=≮⫘↔1101011000101","layer":3},{"info":"≮⫘↔100001000011⊭↱≮⫘↔100011101011=≮⫘↔101010101","layer":3},{"info":"≮⫘↔1101011000101⨔⇊≮⫘↔101010101=≮⫘↔101010101","layer":2},{"info":"≮⫘↔11011110000⪭≯≮⫘↔101010101=NaN","layer":1},{"info":"≮⫘↔0⨫⇇↔NaN=≮⫘↔-1000001111","layer":0}]}
{"id":80,"expression_no_base_symbol":"((⊽($1420$∐⫣))⇷($2407$⊱⇼⊻$2198$)↤⩊($1887$⋥⋵⩄$3384$))⨻⩈⩔($1155$⊉↱≁$3698$⪚$5087$∘$5221$⊨$7621$∴$6797$∋($4223$⪒⊣⊆$5500$))","expression":"((⊽(≮⫘↔10110001100∐⫣))⇷(≮⫘↔100101100111⊱⇼⊻≮⫘↔100010010110)↤⩊(≮⫘↔11101011111⋥⋵⩄≮⫘↔110100111000))⨻⩈⩔(≮⫘↔10010000011⊉↱≁≮⫘↔111001110010⪚≮⫘↔1001111011111∘≮⫘↔1010001100101⊨≮⫘↔1110111000101∴≮⫘↔1101010001101∋(≮⫘↔1000001111111⪒⊣⊆≮⫘↔1010101111100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37231,"operation_count":14,"complexity_ratio":2659.3571428571427,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1420,"base":2}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2407,"base":2},"right_expr":{"type":"numeric_atoms","value":2198,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1887,"base":2},"right_expr":{"type":"numeric_atoms","value":3384,"base":2}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1155,"base":2},"right_expr":{"type":"numeric_atoms","value":3698,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5087,"base":2},"right_expr":{"type":"numeric_atoms","value":5221,"base":2}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":7621,"base":2},"right_expr":{"type":"numeric_atoms","value":6797,"base":2}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4223,"base":2},"right_expr":{"type":"numeric_atoms","value":5500,"base":2}}}}},"used_operators":["nEsXyWgiOK","mp7IySMOzn","QxG7OkqoLX","4CyGpkTkEk","13rbtpv6ld","FyVja0WsTP","7t3wd0Fuz7","vg4gO5BX6G","HrjLwUk87U","w2P8NbNXyL","Z5m6OM72h2","ukq6epAj5P","hrf7POJlIJ","eRqsBgTDFp"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute unary expreesion, input=551, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=2624","layer":2},{"info":"number node, value=2407","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=2198, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1887","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=3384, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=113, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2624, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1155","layer":4},{"info":"number node, value=3698","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=3698, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-11752","layer":3},{"info":"number node, value=5087","layer":4},{"info":"number node, value=5221","layer":4},{"info":"compute binary expreesion, left_input=5087, right_input=5221, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=10174","layer":3},{"info":"compute binary expreesion, left_input=-11752, right_input=10174, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=22628","layer":2},{"info":"number node, value=7621","layer":4},{"info":"number node, value=6797","layer":4},{"info":"compute binary expreesion, left_input=7621, right_input=6797, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=16890","layer":3},{"info":"number node, value=4223","layer":4},{"info":"number node, value=5500","layer":4},{"info":"compute binary expreesion, left_input=4223, right_input=5500, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8446","layer":3},{"info":"compute binary expreesion, left_input=16890, right_input=8446, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=18324720","layer":2},{"info":"compute binary expreesion, left_input=22628, right_input=18324720, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=91543","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=91543, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊽(≮⫘↔10110001100∐⫣))⇷(≮⫘↔100101100111⊱⇼⊻≮⫘↔100010010110)↤⩊(≮⫘↔11101011111⋥⋵⩄≮⫘↔110100111000))⨻⩈⩔(≮⫘↔10010000011⊉↱≁≮⫘↔111001110010⪚≮⫘↔1001111011111∘≮⫘↔1010001100101⊨≮⫘↔1110111000101∴≮⫘↔1101010001101∋(≮⫘↔1000001111111⪒⊣⊆≮⫘↔1010101111100))=NaN","reverse_text":"NaN=((⊽(≮⫘↔10110001100∐⫣))⇷(≮⫘↔100101100111⊱⇼⊻≮⫘↔100010010110)↤⩊(≮⫘↔11101011111⋥⋵⩄≮⫘↔110100111000))⨻⩈⩔(≮⫘↔10010000011⊉↱≁≮⫘↔111001110010⪚≮⫘↔1001111011111∘≮⫘↔1010001100101⊨≮⫘↔1110111000101∴≮⫘↔1101010001101∋(≮⫘↔1000001111111⪒⊣⊆≮⫘↔1010101111100))","cot":[{"info":"≮⫘↔10110001100∐⫣=≮⫘↔1000100111","layer":3},{"info":"⊽≮⫘↔1000100111=≮⫘↔101001000000","layer":2},{"info":"≮⫘↔100101100111⊱⇼⊻≮⫘↔100010010110=≮⫘↔110110010","layer":3},{"info":"≮⫘↔11101011111⋥⋵⩄≮⫘↔110100111000=≮⫘↔1110001","layer":3},{"info":"≮⫘↔110110010↤⩊≮⫘↔1110001=NaN","layer":2},{"info":"≮⫘↔101001000000⇷NaN=NaN","layer":1},{"info":"≮⫘↔10010000011⊉↱≁≮⫘↔111001110010=≮⫘↔-10110111101000","layer":3},{"info":"≮⫘↔1001111011111∘≮⫘↔1010001100101=≮⫘↔10011110111110","layer":3},{"info":"≮⫘↔-10110111101000⪚≮⫘↔10011110111110=≮⫘↔101100001100100","layer":2},{"info":"≮⫘↔1110111000101∴≮⫘↔1101010001101=≮⫘↔100000111111010","layer":3},{"info":"≮⫘↔1000001111111⪒⊣⊆≮⫘↔1010101111100=≮⫘↔10000011111110","layer":3},{"info":"≮⫘↔100000111111010∋≮⫘↔10000011111110=≮⫘↔1000101111001110011110000","layer":2},{"info":"≮⫘↔101100001100100⊨≮⫘↔1000101111001110011110000=≮⫘↔10110010110010111","layer":1},{"info":"NaN⨻⩈⩔≮⫘↔10110010110010111=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"⇐($7392$⨼⩣$4376$∷)≦↸($6248$≚⊃≕$1003$↱(⪡⇡≛$8331$))","expression":"⇐(≮⫘↔1110011100000⨼⩣≮⫘↔1000100011000∷)≦↸(≮⫘↔1100001101000≚⊃≕≮⫘↔1111101011↱(⪡⇡≛≮⫘↔10000010001011))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":561,"operation_count":7,"complexity_ratio":80.14285714285714,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":7392,"base":2},"right_expr":{"type":"numeric_atoms","value":4376,"base":2}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":6248,"base":2},"right_expr":{"type":"numeric_atoms","value":1003,"base":2}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":8331,"base":2}}}}},"used_operators":["nmZMaaE0Q9","RygbFNSyEJ","nFAOW8KTqp","JxwMv5le6e","SR5kFfdi6N","Bmrmz2XGnR","qL4PrbW1Dq"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7392","layer":4},{"info":"number node, value=4376","layer":4},{"info":"compute binary expreesion, left_input=7392, right_input=4376, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":2},{"info":"number node, value=6248","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=6248, right_input=1003, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=8331","layer":4},{"info":"compute unary expreesion, input=8331, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-8331","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-8331, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-51336","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-51336, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇐(≮⫘↔1110011100000⨼⩣≮⫘↔1000100011000∷)≦↸(≮⫘↔1100001101000≚⊃≕≮⫘↔1111101011↱(⪡⇡≛≮⫘↔10000010001011))=NaN","reverse_text":"NaN=⇐(≮⫘↔1110011100000⨼⩣≮⫘↔1000100011000∷)≦↸(≮⫘↔1100001101000≚⊃≕≮⫘↔1111101011↱(⪡⇡≛≮⫘↔10000010001011))","cot":[{"info":"≮⫘↔1110011100000⨼⩣≮⫘↔1000100011000=NaN","layer":3},{"info":"NaN∷=NaN","layer":2},{"info":"≮⫘↔1100001101000≚⊃≕≮⫘↔1111101011=≮⫘↔1000011","layer":3},{"info":"⪡⇡≛≮⫘↔10000010001011=≮⫘↔-10000010001011","layer":3},{"info":"≮⫘↔1000011↱≮⫘↔-10000010001011=≮⫘↔-1100100010001000","layer":2},{"info":"NaN≦↸≮⫘↔-1100100010001000=NaN","layer":1},{"info":"⇐NaN=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"((($4265$⋅⇍$1439$)≃$2457$⪍↜⋙$4355$)↠)⨪↰⇹($1298$⪭$2381$⋅⇍$5478$∳⫺$5221$∙∹∝(∂⩏⊆$7514$⩘$3756$))","expression":"(((≮⫘↔1000010101001⋅⇍≮⫘↔10110011111)≃≮⫘↔100110011001⪍↜⋙≮⫘↔1000100000011)↠)⨪↰⇹(≮⫘↔10100010010⪭≮⫘↔100101001101⋅⇍≮⫘↔1010101100110∳⫺≮⫘↔1010001100101∙∹∝(∂⩏⊆≮⫘↔1110101011010⩘≮⫘↔111010101100))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":680,"operation_count":11,"complexity_ratio":61.81818181818182,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4265,"base":2},"right_expr":{"type":"numeric_atoms","value":1439,"base":2}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2457,"base":2},"right_expr":{"type":"numeric_atoms","value":4355,"base":2}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1298,"base":2},"right_expr":{"type":"numeric_atoms","value":2381,"base":2}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5478,"base":2},"right_expr":{"type":"numeric_atoms","value":5221,"base":2}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7514,"base":2},"right_expr":{"type":"numeric_atoms","value":3756,"base":2}}}}},"used_operators":["tmPS8pqC7x","LBdsKIvxzf","YbVcJGFEVW","AdZkA7nFnk","L05ObWFQCd","HmxsFra2vL","j9kHMeSvPp","AzXXKTstlj","8WDwsbhb0R","cHh1gJQ2o6"],"dependent_operators":["rJVOvQCfKK","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","14qkJME0vr","eLAdDNolq6","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≮⫘↔110111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4265","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=1439, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2457","layer":4},{"info":"number node, value=4355","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=4355, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-21778","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-21778, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=87072","layer":2},{"info":"compute unary expreesion, input=87072, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":1},{"info":"number node, value=1298","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=2381, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=5478","layer":4},{"info":"number node, value=5221","layer":4},{"info":"compute binary expreesion, left_input=5478, right_input=5221, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-260, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=7514","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=7514, right_input=3756, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-559","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-559, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=447","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1000010101001⋅⇍≮⫘↔10110011111)≃≮⫘↔100110011001⪍↜⋙≮⫘↔1000100000011)↠)⨪↰⇹(≮⫘↔10100010010⪭≮⫘↔100101001101⋅⇍≮⫘↔1010101100110∳⫺≮⫘↔1010001100101∙∹∝(∂⩏⊆≮⫘↔1110101011010⩘≮⫘↔111010101100))=≮⫘↔110111111","reverse_text":"≮⫘↔110111111=(((≮⫘↔1000010101001⋅⇍≮⫘↔10110011111)≃≮⫘↔100110011001⪍↜⋙≮⫘↔1000100000011)↠)⨪↰⇹(≮⫘↔10100010010⪭≮⫘↔100101001101⋅⇍≮⫘↔1010101100110∳⫺≮⫘↔1010001100101∙∹∝(∂⩏⊆≮⫘↔1110101011010⩘≮⫘↔111010101100))","cot":[{"info":"≮⫘↔1000010101001⋅⇍≮⫘↔10110011111=≮⫘↔-10110","layer":3},{"info":"≮⫘↔100110011001⪍↜⋙≮⫘↔1000100000011=≮⫘↔-101010100010010","layer":3},{"info":"≮⫘↔-10110≃≮⫘↔-101010100010010=≮⫘↔10101010000100000","layer":2},{"info":"≮⫘↔10101010000100000↠=≮⫘↔-110111111","layer":1},{"info":"≮⫘↔10100010010⪭≮⫘↔100101001101=≮⫘↔101","layer":3},{"info":"≮⫘↔1010101100110∳⫺≮⫘↔1010001100101=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔101⋅⇍≮⫘↔-100000100=≮⫘↔-10110","layer":2},{"info":"≮⫘↔1110101011010⩘≮⫘↔111010101100=≮⫘↔10100000","layer":3},{"info":"∂⩏⊆≮⫘↔10100000=≮⫘↔-1000101111","layer":2},{"info":"≮⫘↔-10110∙∹∝≮⫘↔-1000101111=≮⫘↔0","layer":1},{"info":"≮⫘↔-110111111⨪↰⇹≮⫘↔0=≮⫘↔110111111","layer":0}]}
{"id":83,"expression_no_base_symbol":"≔(($1797$⨵⪆$1556$)⋓(⊄⩳↩$1724$)⇄((⇐$5016$)*($2575$⫚↹⊑$3912$)))","expression":"≔((≮⫘↔11100000101⨵⪆≮⫘↔11000010100)⋓(⊄⩳↩≮⫘↔11010111100)⇄((⇐≮⫘↔1001110011000)*(≮⫘↔101000001111⫚↹⊑≮⫘↔111101001000)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":566,"operation_count":8,"complexity_ratio":70.75,"tree":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1797,"base":2},"right_expr":{"type":"numeric_atoms","value":1556,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1724,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":5016,"base":2}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2575,"base":2},"right_expr":{"type":"numeric_atoms","value":3912,"base":2}}}}},"used_operators":["8FLs4eVsLt","3EYGwJThht","T2fj7uvVaJ","2DQ55sFlQl","8w2t5hMYqp","9HNa5Wba9A","nmZMaaE0Q9","dfKe02y8D2"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≮⫘↔-1100111011000101001101001010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1797","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1556, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1724","layer":4},{"info":"compute unary expreesion, input=1724, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5172","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5172, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=5016","layer":4},{"info":"compute unary expreesion, input=5016, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=17322","layer":3},{"info":"number node, value=2575","layer":4},{"info":"number node, value=3912","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=3912, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=17322, right_input=-447, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-7742934","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-7742934, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=7743418","layer":1},{"info":"compute unary expreesion, input=7743418, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-216814410","layer":0}],"base":2,"result_base":2,"text":"≔((≮⫘↔11100000101⨵⪆≮⫘↔11000010100)⋓(⊄⩳↩≮⫘↔11010111100)⇄((⇐≮⫘↔1001110011000)*(≮⫘↔101000001111⫚↹⊑≮⫘↔111101001000)))=≮⫘↔-1100111011000101001101001010","reverse_text":"≮⫘↔-1100111011000101001101001010=≔((≮⫘↔11100000101⨵⪆≮⫘↔11000010100)⋓(⊄⩳↩≮⫘↔11010111100)⇄((⇐≮⫘↔1001110011000)*(≮⫘↔101000001111⫚↹⊑≮⫘↔111101001000)))","cot":[{"info":"≮⫘↔11100000101⨵⪆≮⫘↔11000010100=≮⫘↔10100000","layer":3},{"info":"⊄⩳↩≮⫘↔11010111100=≮⫘↔-1010000110100","layer":3},{"info":"≮⫘↔10100000⋓≮⫘↔-1010000110100=≮⫘↔0","layer":2},{"info":"⇐≮⫘↔1001110011000=≮⫘↔100001110101010","layer":3},{"info":"≮⫘↔101000001111⫚↹⊑≮⫘↔111101001000=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔100001110101010*≮⫘↔-110111111=≮⫘↔-11101100010010111010110","layer":2},{"info":"≮⫘↔0⇄≮⫘↔-11101100010010111010110=≮⫘↔11101100010011110111010","layer":1},{"info":"≔≮⫘↔11101100010011110111010=≮⫘↔-1100111011000101001101001010","layer":0}]}
{"id":84,"expression_no_base_symbol":"↴⪽⋼(($1347$≀⩗∶$1880$)⨜⨶($2735$∛$1767$))⨂≜(($1254$⪑⩈)⨓$1146$⊉↱≁$2300$)","expression":"↴⪽⋼((≮⫘↔10101000011≀⩗∶≮⫘↔11101011000)⨜⨶(≮⫘↔101010101111∛≮⫘↔11011100111))⨂≜((≮⫘↔10011100110⪑⩈)⨓≮⫘↔10001111010⊉↱≁≮⫘↔100011111100)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7068,"operation_count":8,"complexity_ratio":883.5,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1347,"base":2},"right_expr":{"type":"numeric_atoms","value":1880,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2735,"base":2},"right_expr":{"type":"numeric_atoms","value":1767,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1254,"base":2}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1146,"base":2},"right_expr":{"type":"numeric_atoms","value":2300,"base":2}}}}},"used_operators":["5TUYCnJO6w","k1SHOSEABc","HiPekx5b7W","8INZBEW696","w2537kitQq","3ViojmjbAp","C6VvDP6HwP","w2P8NbNXyL"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1347","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1880, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"number node, value=2735","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=2735, right_input=1767, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-670, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3267","layer":2},{"info":"number node, value=1254","layer":4},{"info":"compute unary expreesion, input=1254, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=10368","layer":3},{"info":"number node, value=1146","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=2300, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-3454","layer":3},{"info":"compute binary expreesion, left_input=10368, right_input=-3454, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=3451","layer":2},{"info":"compute binary expreesion, left_input=-3267, right_input=3451, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↴⪽⋼((≮⫘↔10101000011≀⩗∶≮⫘↔11101011000)⨜⨶(≮⫘↔101010101111∛≮⫘↔11011100111))⨂≜((≮⫘↔10011100110⪑⩈)⨓≮⫘↔10001111010⊉↱≁≮⫘↔100011111100)=NaN","reverse_text":"NaN=↴⪽⋼((≮⫘↔10101000011≀⩗∶≮⫘↔11101011000)⨜⨶(≮⫘↔101010101111∛≮⫘↔11011100111))⨂≜((≮⫘↔10011100110⪑⩈)⨓≮⫘↔10001111010⊉↱≁≮⫘↔100011111100)","cot":[{"info":"≮⫘↔10101000011≀⩗∶≮⫘↔11101011000=≮⫘↔-11","layer":3},{"info":"≮⫘↔101010101111∛≮⫘↔11011100111=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔-11⨜⨶≮⫘↔-1010011110=≮⫘↔-110011000011","layer":2},{"info":"≮⫘↔10011100110⪑⩈=≮⫘↔10100010000000","layer":3},{"info":"≮⫘↔10001111010⊉↱≁≮⫘↔100011111100=≮⫘↔-110101111110","layer":3},{"info":"≮⫘↔10100010000000⨓≮⫘↔-110101111110=≮⫘↔110101111011","layer":2},{"info":"≮⫘↔-110011000011⨂≜≮⫘↔110101111011=NaN","layer":1},{"info":"↴⪽⋼NaN=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"((∐⩳⋚$2590$)→⨶⪴($1234$∲⫓$1276$))⪟⇏($2357$∋$1056$⋾⨃∁$3263$≀⫉$4398$)⇄(↩⪖(($1863$∣$3029$)⋛($4036$⨒$3728$)))","expression":"((∐⩳⋚≮⫘↔101000011110)→⨶⪴(≮⫘↔10011010010∲⫓≮⫘↔10011111100))⪟⇏(≮⫘↔100100110101∋≮⫘↔10000100000⋾⨃∁≮⫘↔110010111111≀⫉≮⫘↔1000100101110)⇄(↩⪖((≮⫘↔11101000111∣≮⫘↔101111010101)⋛(≮⫘↔111111000100⨒≮⫘↔111010010000)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3434,"operation_count":12,"complexity_ratio":286.1666666666667,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2590,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1234,"base":2},"right_expr":{"type":"numeric_atoms","value":1276,"base":2}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2357,"base":2},"right_expr":{"type":"numeric_atoms","value":1056,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3263,"base":2},"right_expr":{"type":"numeric_atoms","value":4398,"base":2}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1863,"base":2},"right_expr":{"type":"numeric_atoms","value":3029,"base":2}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4036,"base":2},"right_expr":{"type":"numeric_atoms","value":3728,"base":2}}}}},"used_operators":["3EYGwJThht","GODebY97qR","bF6eod5Gvf","SL6IHkK8vl","i8ToyICDmI","212REbPD9h","ukq6epAj5P","oZj3VtZNQx","fG6uBQFnGz","YbUVn0Rbpy","PPChnnnBFF","y75s1iXyHd"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","8w2t5hMYqp","9FxExcQeMw","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"≮⫘↔-11110001101000101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2590","layer":4},{"info":"compute unary expreesion, input=2590, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=372707","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1276, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=372707, right_input=0, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=745382","layer":2},{"info":"number node, value=2357","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=2357, right_input=1056, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2256924","layer":3},{"info":"number node, value=3263","layer":4},{"info":"number node, value=4398","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=4398, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=2256924, right_input=2822, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=79602882","layer":2},{"info":"compute binary expreesion, left_input=745382, right_input=79602882, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=1863","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=3029, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1863","layer":3},{"info":"number node, value=4036","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=4036, right_input=3728, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-23844","layer":3},{"info":"compute binary expreesion, left_input=1863, right_input=-23844, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-70887","layer":2},{"info":"compute unary expreesion, input=-70887, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=990224","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=990224, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-989740","layer":0}],"base":2,"result_base":2,"text":"((∐⩳⋚≮⫘↔101000011110)→⨶⪴(≮⫘↔10011010010∲⫓≮⫘↔10011111100))⪟⇏(≮⫘↔100100110101∋≮⫘↔10000100000⋾⨃∁≮⫘↔110010111111≀⫉≮⫘↔1000100101110)⇄(↩⪖((≮⫘↔11101000111∣≮⫘↔101111010101)⋛(≮⫘↔111111000100⨒≮⫘↔111010010000)))=≮⫘↔-11110001101000101100","reverse_text":"≮⫘↔-11110001101000101100=((∐⩳⋚≮⫘↔101000011110)→⨶⪴(≮⫘↔10011010010∲⫓≮⫘↔10011111100))⪟⇏(≮⫘↔100100110101∋≮⫘↔10000100000⋾⨃∁≮⫘↔110010111111≀⫉≮⫘↔1000100101110)⇄(↩⪖((≮⫘↔11101000111∣≮⫘↔101111010101)⋛(≮⫘↔111111000100⨒≮⫘↔111010010000)))","cot":[{"info":"∐⩳⋚≮⫘↔101000011110=≮⫘↔1011010111111100011","layer":3},{"info":"≮⫘↔10011010010∲⫓≮⫘↔10011111100=≮⫘↔0","layer":3},{"info":"≮⫘↔1011010111111100011→⨶⪴≮⫘↔0=≮⫘↔10110101111110100110","layer":2},{"info":"≮⫘↔100100110101∋≮⫘↔10000100000=≮⫘↔1000100111000000011100","layer":3},{"info":"≮⫘↔110010111111≀⫉≮⫘↔1000100101110=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔1000100111000000011100⋾⨃∁≮⫘↔101100000110=≮⫘↔100101111101010010011000010","layer":2},{"info":"≮⫘↔10110101111110100110⪟⇏≮⫘↔100101111101010010011000010=≮⫘↔-1","layer":1},{"info":"≮⫘↔11101000111∣≮⫘↔101111010101=≮⫘↔11101000111","layer":3},{"info":"≮⫘↔111111000100⨒≮⫘↔111010010000=≮⫘↔-101110100100100","layer":3},{"info":"≮⫘↔11101000111⋛≮⫘↔-101110100100100=≮⫘↔-10001010011100111","layer":2},{"info":"↩⪖≮⫘↔-10001010011100111=≮⫘↔11110001110000010000","layer":1},{"info":"≮⫘↔-1⇄≮⫘↔11110001110000010000=≮⫘↔-11110001101000101100","layer":0}]}
{"id":86,"expression_no_base_symbol":"(↪⫪⫘(⨞⊢$4283$))⊴$2158$⇡⇂$6196$∳⫺$3837$⨐$1051$⊭↱(($1652$⇮⋭$1032$)⪄$2433$⨭⪣$8551$)⨟⋌⩍(($2221$∕⩚$1339$)≓∲($2234$⊜))","expression":"(↪⫪⫘(⨞⊢≮⫘↔1000010111011))⊴≮⫘↔100001101110⇡⇂≮⫘↔1100000110100∳⫺≮⫘↔111011111101⨐≮⫘↔10000011011⊭↱((≮⫘↔11001110100⇮⋭≮⫘↔10000001000)⪄≮⫘↔100110000001⨭⪣≮⫘↔10000101100111)⨟⋌⩍((≮⫘↔100010101101∕⩚≮⫘↔10100111011)≓∲(≮⫘↔100010111010⊜))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44522,"operation_count":14,"complexity_ratio":3180.1428571428573,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4283,"base":2}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2158,"base":2},"right_expr":{"type":"numeric_atoms","value":6196,"base":2}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3837,"base":2},"right_expr":{"type":"numeric_atoms","value":1051,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1652,"base":2},"right_expr":{"type":"numeric_atoms","value":1032,"base":2}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2433,"base":2},"right_expr":{"type":"numeric_atoms","value":8551,"base":2}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2221,"base":2},"right_expr":{"type":"numeric_atoms","value":1339,"base":2}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2234,"base":2}}}}},"used_operators":["COABgblf1C","Nsiff2A1zJ","9dWsAM3GFt","xUOZtlo3hN","AzXXKTstlj","UMwdvZNt44","Noe24qw2ks","rGHVDoGpnC","SUmda5xLS4","vkpjKywKVM","kn8WO9XteQ","s1XTVnmDOJ","z9ffQ9n5Zr","Eev2Q7dYIw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4283","layer":4},{"info":"compute unary expreesion, input=4283, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4457","layer":3},{"info":"compute unary expreesion, input=-4457, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=2158","layer":4},{"info":"number node, value=6196","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=6196, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=3837","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=3837, right_input=1051, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7674","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7674, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-260, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1652","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=1032, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=2433","layer":4},{"info":"number node, value=8551","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=8551, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1154","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=1154, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=2221","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=1339, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2224","layer":3},{"info":"number node, value=2234","layer":4},{"info":"compute unary expreesion, input=2234, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-7200","layer":3},{"info":"compute binary expreesion, left_input=-2224, right_input=-7200, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=67, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↪⫪⫘(⨞⊢≮⫘↔1000010111011))⊴≮⫘↔100001101110⇡⇂≮⫘↔1100000110100∳⫺≮⫘↔111011111101⨐≮⫘↔10000011011⊭↱((≮⫘↔11001110100⇮⋭≮⫘↔10000001000)⪄≮⫘↔100110000001⨭⪣≮⫘↔10000101100111)⨟⋌⩍((≮⫘↔100010101101∕⩚≮⫘↔10100111011)≓∲(≮⫘↔100010111010⊜))=NaN","reverse_text":"NaN=(↪⫪⫘(⨞⊢≮⫘↔1000010111011))⊴≮⫘↔100001101110⇡⇂≮⫘↔1100000110100∳⫺≮⫘↔111011111101⨐≮⫘↔10000011011⊭↱((≮⫘↔11001110100⇮⋭≮⫘↔10000001000)⪄≮⫘↔100110000001⨭⪣≮⫘↔10000101100111)⨟⋌⩍((≮⫘↔100010101101∕⩚≮⫘↔10100111011)≓∲(≮⫘↔100010111010⊜))","cot":[{"info":"⨞⊢≮⫘↔1000010111011=≮⫘↔-1000101101001","layer":3},{"info":"↪⫪⫘≮⫘↔-1000101101001=≮⫘↔10100","layer":2},{"info":"≮⫘↔100001101110⇡⇂≮⫘↔1100000110100=NaN","layer":3},{"info":"≮⫘↔111011111101⨐≮⫘↔10000011011=≮⫘↔-1110111111010","layer":3},{"info":"NaN∳⫺≮⫘↔-1110111111010=≮⫘↔-100000100","layer":2},{"info":"≮⫘↔10100⊴≮⫘↔-100000100=NaN","layer":1},{"info":"≮⫘↔11001110100⇮⋭≮⫘↔10000001000=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔100110000001⨭⪣≮⫘↔10000101100111=≮⫘↔10010000010","layer":3},{"info":"≮⫘↔-111011001⪄≮⫘↔10010000010=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔100010101101∕⩚≮⫘↔10100111011=≮⫘↔-100010110000","layer":3},{"info":"≮⫘↔100010111010⊜=≮⫘↔-1110000100000","layer":3},{"info":"≮⫘↔-100010110000≓∲≮⫘↔-1110000100000=≮⫘↔1000011","layer":2},{"info":"≮⫘↔111110001011⨟⋌⩍≮⫘↔1000011=≮⫘↔0","layer":1},{"info":"NaN⊭↱≮⫘↔0=NaN","layer":0}]}
{"id":87,"expression_no_base_symbol":"((⊙↵-($5404$↙$1402$))⇼⇔∾(≔(⫶⊄≣$2814$)))⫯⪬∳(($2594$⨳⩥⨓$4092$)≑≱⪘)⫯⪬∳($1630$⪶≀⋏$4706$)⩖⊿($2047$⨔≚≋$3382$)","expression":"((⊙↵-(≮⫘↔1010100011100↙≮⫘↔10101111010))⇼⇔∾(≔(⫶⊄≣≮⫘↔101011111110)))⫯⪬∳((≮⫘↔101000100010⨳⩥⨓≮⫘↔111111111100)≑≱⪘)⫯⪬∳(≮⫘↔11001011110⪶≀⋏≮⫘↔1001001100010)⩖⊿(≮⫘↔11111111111⨔≚≋≮⫘↔110100110110)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8734,"operation_count":12,"complexity_ratio":727.8333333333334,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5404,"base":2},"right_expr":{"type":"numeric_atoms","value":1402,"base":2}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2814,"base":2}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2594,"base":2},"right_expr":{"type":"numeric_atoms","value":4092,"base":2}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1630,"base":2},"right_expr":{"type":"numeric_atoms","value":4706,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2047,"base":2},"right_expr":{"type":"numeric_atoms","value":3382,"base":2}}}}},"used_operators":["d7ASUq0ydm","tifHPKVTfV","oWn0xqSxBt","yyfyN0ffXY","8FLs4eVsLt","wxb3vTeyAj","tGSeddj7UK","nCS4ZIUYfx","RZ5CV9rWsJ","zR4jO40bMj","Z57zeUYC9z"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5404","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=5404, right_input=1402, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4206","layer":3},{"info":"compute unary expreesion, input=-4206, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=2814","layer":4},{"info":"compute unary expreesion, input=2814, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=142582069","layer":3},{"info":"compute unary expreesion, input=142582069, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=-inf, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-inf","layer":1},{"info":"number node, value=2594","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=4092, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1498","layer":3},{"info":"compute unary expreesion, input=1498, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=35313","layer":2},{"info":"number node, value=1630","layer":4},{"info":"number node, value=4706","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=4706, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14534","layer":3},{"info":"number node, value=2047","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=3382, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-14534, right_input=9872, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-17830","layer":2},{"info":"compute binary expreesion, left_input=35313, right_input=-17830, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=106006","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=106006, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=inf","layer":0}],"base":2,"result_base":2,"text":"((⊙↵-(≮⫘↔1010100011100↙≮⫘↔10101111010))⇼⇔∾(≔(⫶⊄≣≮⫘↔101011111110)))⫯⪬∳((≮⫘↔101000100010⨳⩥⨓≮⫘↔111111111100)≑≱⪘)⫯⪬∳(≮⫘↔11001011110⪶≀⋏≮⫘↔1001001100010)⩖⊿(≮⫘↔11111111111⨔≚≋≮⫘↔110100110110)=Inf","reverse_text":"Inf=((⊙↵-(≮⫘↔1010100011100↙≮⫘↔10101111010))⇼⇔∾(≔(⫶⊄≣≮⫘↔101011111110)))⫯⪬∳((≮⫘↔101000100010⨳⩥⨓≮⫘↔111111111100)≑≱⪘)⫯⪬∳(≮⫘↔11001011110⪶≀⋏≮⫘↔1001001100010)⩖⊿(≮⫘↔11111111111⨔≚≋≮⫘↔110100110110)","cot":[{"info":"≮⫘↔1010100011100↙≮⫘↔10101111010=≮⫘↔-1000001101110","layer":3},{"info":"⊙↵-≮⫘↔-1000001101110=≮⫘↔11000100","layer":2},{"info":"⫶⊄≣≮⫘↔101011111110=≮⫘↔1000011111111010000100110101","layer":3},{"info":"≔≮⫘↔1000011111111010000100110101=-Inf","layer":2},{"info":"≮⫘↔11000100⇼⇔∾-Inf=-Inf","layer":1},{"info":"≮⫘↔101000100010⨳⩥⨓≮⫘↔111111111100=≮⫘↔10111011010","layer":3},{"info":"≮⫘↔10111011010≑≱⪘=≮⫘↔1000100111110001","layer":2},{"info":"≮⫘↔11001011110⪶≀⋏≮⫘↔1001001100010=≮⫘↔-11100011000110","layer":3},{"info":"≮⫘↔11111111111⨔≚≋≮⫘↔110100110110=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔-11100011000110⩖⊿≮⫘↔10011010010000=≮⫘↔-100010110100110","layer":2},{"info":"≮⫘↔1000100111110001⫯⪬∳≮⫘↔-100010110100110=≮⫘↔11001111000010110","layer":1},{"info":"-Inf⫯⪬∳≮⫘↔11001111000010110=Inf","layer":0}]}
{"id":88,"expression_no_base_symbol":"(⇘($9282$⩒⫫$1412$)↤⩊(⪓⩚$1160$))⊲⩕⊾(($4643$⋾⨃∁$5355$)⩇∃⫛(⇨$2530$))⪮%⊝($1749$≨$1316$)∳⫺($3416$⋝⋈⪟$2630$)","expression":"(⇘(≮⫘↔10010001000010⩒⫫≮⫘↔10110000100)↤⩊(⪓⩚≮⫘↔10010001000))⊲⩕⊾((≮⫘↔1001000100011⋾⨃∁≮⫘↔1010011101011)⩇∃⫛(⇨≮⫘↔100111100010))⪮%⊝(≮⫘↔11011010101≨≮⫘↔10100100100)∳⫺(≮⫘↔110101011000⋝⋈⪟≮⫘↔101001000110)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9179,"operation_count":12,"complexity_ratio":764.9166666666666,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":9282,"base":2},"right_expr":{"type":"numeric_atoms","value":1412,"base":2}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1160,"base":2}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4643,"base":2},"right_expr":{"type":"numeric_atoms","value":5355,"base":2}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2530,"base":2}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1749,"base":2},"right_expr":{"type":"numeric_atoms","value":1316,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3416,"base":2},"right_expr":{"type":"numeric_atoms","value":2630,"base":2}}}}},"used_operators":["DmTXOeWf9t","MGuIdZPyUC","13rbtpv6ld","KFSx94NKJn","u0R0Locfp2","IWmyXbctLI","1aApVXNlOP","212REbPD9h","G9tJMlZ94a","AzXXKTstlj","0KMCeP1Jsh","2DDjHMKMc0"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","k8jYdgA6NY","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9282","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=9282, right_input=1412, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=8980","layer":3},{"info":"number node, value=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=8980, right_input=426, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":1},{"info":"number node, value=4643","layer":4},{"info":"number node, value=5355","layer":4},{"info":"compute binary expreesion, left_input=4643, right_input=5355, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=286695896","layer":3},{"info":"number node, value=2530","layer":4},{"info":"compute unary expreesion, input=2530, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=286695896, right_input=0, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-286695423","layer":2},{"info":"number node, value=1749","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=1316, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-15014","layer":3},{"info":"number node, value=3416","layer":4},{"info":"number node, value=2630","layer":4},{"info":"compute binary expreesion, left_input=3416, right_input=2630, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3416","layer":3},{"info":"compute binary expreesion, left_input=-15014, right_input=3416, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-66826","layer":2},{"info":"compute binary expreesion, left_input=-286695423, right_input=-66826, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-573390530","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-573390530, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇘(≮⫘↔10010001000010⩒⫫≮⫘↔10110000100)↤⩊(⪓⩚≮⫘↔10010001000))⊲⩕⊾((≮⫘↔1001000100011⋾⨃∁≮⫘↔1010011101011)⩇∃⫛(⇨≮⫘↔100111100010))⪮%⊝(≮⫘↔11011010101≨≮⫘↔10100100100)∳⫺(≮⫘↔110101011000⋝⋈⪟≮⫘↔101001000110)=NaN","reverse_text":"NaN=(⇘(≮⫘↔10010001000010⩒⫫≮⫘↔10110000100)↤⩊(⪓⩚≮⫘↔10010001000))⊲⩕⊾((≮⫘↔1001000100011⋾⨃∁≮⫘↔1010011101011)⩇∃⫛(⇨≮⫘↔100111100010))⪮%⊝(≮⫘↔11011010101≨≮⫘↔10100100100)∳⫺(≮⫘↔110101011000⋝⋈⪟≮⫘↔101001000110)","cot":[{"info":"≮⫘↔10010001000010⩒⫫≮⫘↔10110000100=≮⫘↔10001100010100","layer":3},{"info":"⪓⩚≮⫘↔10010001000=≮⫘↔110101010","layer":3},{"info":"≮⫘↔10001100010100↤⩊≮⫘↔110101010=NaN","layer":2},{"info":"⇘NaN=NaN","layer":1},{"info":"≮⫘↔1001000100011⋾⨃∁≮⫘↔1010011101011=≮⫘↔10001000101101010000111011000","layer":3},{"info":"⇨≮⫘↔100111100010=≮⫘↔0","layer":3},{"info":"≮⫘↔10001000101101010000111011000⩇∃⫛≮⫘↔0=≮⫘↔-10001000101101001111111111111","layer":2},{"info":"≮⫘↔11011010101≨≮⫘↔10100100100=≮⫘↔-11101010100110","layer":3},{"info":"≮⫘↔110101011000⋝⋈⪟≮⫘↔101001000110=≮⫘↔110101011000","layer":3},{"info":"≮⫘↔-11101010100110∳⫺≮⫘↔110101011000=≮⫘↔-10000010100001010","layer":2},{"info":"≮⫘↔-10001000101101001111111111111⪮%⊝≮⫘↔-10000010100001010=≮⫘↔-100010001011010011111011000010","layer":1},{"info":"NaN⊲⩕⊾≮⫘↔-100010001011010011111011000010=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"((⪸(↽≂$2465$))⨐⩸⫘(⊁⨺$1817$)↳∿⪆($3340$⋅⇍$1331$))∋(≀↧⇸($2597$∴$3889$⋝⋈⪟$4028$∛$2909$))","expression":"((⪸(↽≂≮⫘↔100110100001))⨐⩸⫘(⊁⨺≮⫘↔11100011001)↳∿⪆(≮⫘↔110100001100⋅⇍≮⫘↔10100110011))∋(≀↧⇸(≮⫘↔101000100101∴≮⫘↔111100110001⋝⋈⪟≮⫘↔111110111100∛≮⫘↔101101011101))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2656,"operation_count":11,"complexity_ratio":241.45454545454547,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2465,"base":2}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1817,"base":2}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3340,"base":2},"right_expr":{"type":"numeric_atoms","value":1331,"base":2}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2597,"base":2},"right_expr":{"type":"numeric_atoms","value":3889,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4028,"base":2},"right_expr":{"type":"numeric_atoms","value":2909,"base":2}}}}},"used_operators":["ukq6epAj5P","fu6greOZ01","86A5ENbKR9","u6S6b8DprG","Cw4SuJJGHO","PxiHyQbrIp","AdZkA7nFnk","ljTHtUsqzn","2DDjHMKMc0","hrf7POJlIJ","w2537kitQq"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","3ViojmjbAp","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2465","layer":4},{"info":"compute unary expreesion, input=2465, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4930","layer":3},{"info":"compute unary expreesion, input=-4930, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=47402","layer":2},{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=3340","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=1331, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-22, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=47402, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2597","layer":4},{"info":"number node, value=3889","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=3889, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6842","layer":3},{"info":"number node, value=4028","layer":4},{"info":"number node, value=2909","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=2909, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=6842, right_input=-670, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6842","layer":2},{"info":"compute unary expreesion, input=6842, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=13684","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13684, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪸(↽≂≮⫘↔100110100001))⨐⩸⫘(⊁⨺≮⫘↔11100011001)↳∿⪆(≮⫘↔110100001100⋅⇍≮⫘↔10100110011))∋(≀↧⇸(≮⫘↔101000100101∴≮⫘↔111100110001⋝⋈⪟≮⫘↔111110111100∛≮⫘↔101101011101))=NaN","reverse_text":"NaN=((⪸(↽≂≮⫘↔100110100001))⨐⩸⫘(⊁⨺≮⫘↔11100011001)↳∿⪆(≮⫘↔110100001100⋅⇍≮⫘↔10100110011))∋(≀↧⇸(≮⫘↔101000100101∴≮⫘↔111100110001⋝⋈⪟≮⫘↔111110111100∛≮⫘↔101101011101))","cot":[{"info":"↽≂≮⫘↔100110100001=≮⫘↔-1001101000010","layer":3},{"info":"⪸≮⫘↔-1001101000010=≮⫘↔1011100100101010","layer":2},{"info":"⊁⨺≮⫘↔11100011001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔110100001100⋅⇍≮⫘↔10100110011=≮⫘↔-10110","layer":3},{"info":"≮⫘↔10100000↳∿⪆≮⫘↔-10110=NaN","layer":2},{"info":"≮⫘↔1011100100101010⨐⩸⫘NaN=NaN","layer":1},{"info":"≮⫘↔101000100101∴≮⫘↔111100110001=≮⫘↔1101010111010","layer":3},{"info":"≮⫘↔111110111100∛≮⫘↔101101011101=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔1101010111010⋝⋈⪟≮⫘↔-1010011110=≮⫘↔1101010111010","layer":2},{"info":"≀↧⇸≮⫘↔1101010111010=≮⫘↔11010101110100","layer":1},{"info":"NaN∋≮⫘↔11010101110100=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"∂(($2896$⪶≀⋏$2498$⪊≅)⊹∫⫚($3356$⇣⩺⋵$1700$)⊬⨰$2668$↢$4439$)","expression":"∂((≮⫘↔101101010000⪶≀⋏≮⫘↔100111000010⪊≅)⊹∫⫚(≮⫘↔110100011100⇣⩺⋵≮⫘↔11010100100)⊬⨰≮⫘↔101001101100↢≮⫘↔1000101010111)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":608,"operation_count":7,"complexity_ratio":86.85714285714286,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2896,"base":2},"right_expr":{"type":"numeric_atoms","value":2498,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3356,"base":2},"right_expr":{"type":"numeric_atoms","value":1700,"base":2}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2668,"base":2},"right_expr":{"type":"numeric_atoms","value":4439,"base":2}}}}},"used_operators":["Uaa54Peajs","uWAJUKEvyW","bjFbhXSADs","zR4jO40bMj","s3Fd5m9Dh2","F4yD0voBRQ","WR6HLWljOP"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≮⫘↔-100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2896","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=2498, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13916","layer":3},{"info":"compute unary expreesion, input=-13916, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"number node, value=3356","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=3356, right_input=1700, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2668","layer":4},{"info":"number node, value=4439","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=4439, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2184","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=2184, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8216","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8216, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-4","layer":1},{"info":"compute unary expreesion, input=-4, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-260","layer":0}],"base":2,"result_base":2,"text":"∂((≮⫘↔101101010000⪶≀⋏≮⫘↔100111000010⪊≅)⊹∫⫚(≮⫘↔110100011100⇣⩺⋵≮⫘↔11010100100)⊬⨰≮⫘↔101001101100↢≮⫘↔1000101010111)=≮⫘↔-100000100","reverse_text":"≮⫘↔-100000100=∂((≮⫘↔101101010000⪶≀⋏≮⫘↔100111000010⪊≅)⊹∫⫚(≮⫘↔110100011100⇣⩺⋵≮⫘↔11010100100)⊬⨰≮⫘↔101001101100↢≮⫘↔1000101010111)","cot":[{"info":"≮⫘↔101101010000⪶≀⋏≮⫘↔100111000010=≮⫘↔-11011001011100","layer":3},{"info":"≮⫘↔-11011001011100⪊≅=≮⫘↔0","layer":2},{"info":"≮⫘↔110100011100⇣⩺⋵≮⫘↔11010100100=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔101001101100↢≮⫘↔1000101010111=≮⫘↔100010001000","layer":3},{"info":"≮⫘↔-100000100⊬⨰≮⫘↔100010001000=≮⫘↔10000000011000","layer":2},{"info":"≮⫘↔0⊹∫⫚≮⫘↔10000000011000=≮⫘↔-100","layer":1},{"info":"∂≮⫘↔-100=≮⫘↔-100000100","layer":0}]}
{"id":91,"expression_no_base_symbol":"(≻⋜(($2757$⋥≓≎$1383$)⩧⪆(⩎⋉$3774$)))⋥≓≎($1605$∘$3841$≀⫉($2513$⫲≸⪮$1086$)⇟⨁⪰)","expression":"(≻⋜((≮⫘↔101011000101⋥≓≎≮⫘↔10101100111)⩧⪆(⩎⋉≮⫘↔111010111110)))⋥≓≎(≮⫘↔11001000101∘≮⫘↔111100000001≀⫉(≮⫘↔100111010001⫲≸⪮≮⫘↔10000111110)⇟⨁⪰)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12468,"operation_count":9,"complexity_ratio":1385.3333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2757,"base":2},"right_expr":{"type":"numeric_atoms","value":1383,"base":2}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":3774,"base":2}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1605,"base":2},"right_expr":{"type":"numeric_atoms","value":3841,"base":2}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2513,"base":2},"right_expr":{"type":"numeric_atoms","value":1086,"base":2}}}}},"used_operators":["Qy55tPpLXF","3tj9sqzovi","Ikt5ks8PT7","FlXk3pOYe8","BX1lVwlMe0","oZj3VtZNQx","Z5m6OM72h2","P3lXMJvFrc"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eewbuw0ToL","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eH2TOUuTDT","rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2757","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=2757, right_input=1383, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=42","layer":3},{"info":"number node, value=3774","layer":4},{"info":"compute unary expreesion, input=3774, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=42, right_input=1650, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1650","layer":2},{"info":"compute unary expreesion, input=-1650, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=1605","layer":4},{"info":"number node, value=3841","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=3841, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3210","layer":3},{"info":"number node, value=2513","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=1086, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2513","layer":3},{"info":"compute binary expreesion, left_input=3210, right_input=2513, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-2996","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2996, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(≻⋜((≮⫘↔101011000101⋥≓≎≮⫘↔10101100111)⩧⪆(⩎⋉≮⫘↔111010111110)))⋥≓≎(≮⫘↔11001000101∘≮⫘↔111100000001≀⫉(≮⫘↔100111010001⫲≸⪮≮⫘↔10000111110)⇟⨁⪰)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(≻⋜((≮⫘↔101011000101⋥≓≎≮⫘↔10101100111)⩧⪆(⩎⋉≮⫘↔111010111110)))⋥≓≎(≮⫘↔11001000101∘≮⫘↔111100000001≀⫉(≮⫘↔100111010001⫲≸⪮≮⫘↔10000111110)⇟⨁⪰)","cot":[{"info":"≮⫘↔101011000101⋥≓≎≮⫘↔10101100111=≮⫘↔101010","layer":3},{"info":"⩎⋉≮⫘↔111010111110=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔101010⩧⪆≮⫘↔11001110010=≮⫘↔-11001110010","layer":2},{"info":"≻⋜≮⫘↔-11001110010=NaN","layer":1},{"info":"≮⫘↔11001000101∘≮⫘↔111100000001=≮⫘↔110010001010","layer":3},{"info":"≮⫘↔100111010001⫲≸⪮≮⫘↔10000111110=≮⫘↔100111010001","layer":3},{"info":"≮⫘↔110010001010≀⫉≮⫘↔100111010001=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔101100000110⇟⨁⪰=≮⫘↔-101110110100","layer":1},{"info":"NaN⋥≓≎≮⫘↔-101110110100=≮⫘↔1000011","layer":0}]}
{"id":92,"expression_no_base_symbol":"(($2262$⪎↠$4689$)⨐($1246$+⪬∐$6225$))⋹⋡⊁(($1781$⪄$4058$)↼⊘⨖$1618$⇻⋧≁$5206$)+((⊿$1751$)⋐⇩⊬)⪒⊣⊆((∜⨇$5359$)≹⇙⪍($7848$⊹∫⫚$4327$))","expression":"((≮⫘↔100011010110⪎↠≮⫘↔1001001010001)⨐(≮⫘↔10011011110+⪬∐≮⫘↔1100001010001))⋹⋡⊁((≮⫘↔11011110101⪄≮⫘↔111111011010)↼⊘⨖≮⫘↔11001010010⇻⋧≁≮⫘↔1010001010110)+((⊿≮⫘↔11011010111)⋐⇩⊬)⪒⊣⊆((∜⨇≮⫘↔1010011101111)≹⇙⪍(≮⫘↔1111010101000⊹∫⫚≮⫘↔1000011100111))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":15405,"operation_count":14,"complexity_ratio":1100.357142857143,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2262,"base":2},"right_expr":{"type":"numeric_atoms","value":4689,"base":2}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1246,"base":2},"right_expr":{"type":"numeric_atoms","value":6225,"base":2}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1781,"base":2},"right_expr":{"type":"numeric_atoms","value":4058,"base":2}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1618,"base":2},"right_expr":{"type":"numeric_atoms","value":5206,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1751,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":5359,"base":2}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":7848,"base":2},"right_expr":{"type":"numeric_atoms","value":4327,"base":2}}}}},"used_operators":["W4YGzv6Whe","As8RqfVLgs","Noe24qw2ks","3tVxb0NHM4","2GS7woTJqF","bPywburJMS","SUmda5xLS4","jCPkEVoL5K","eRqsBgTDFp","JuuLT1NoCs","DO4fhlbJSI","AHs5Up7iyr","uFPyJr306J","uWAJUKEvyW"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","sdazOOVcIp","W4YGzv6Whe","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2262","layer":4},{"info":"number node, value=4689","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=4689, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1246","layer":4},{"info":"number node, value=6225","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=6225, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3738","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3738, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-320","layer":2},{"info":"number node, value=1781","layer":4},{"info":"number node, value=4058","layer":4},{"info":"compute binary expreesion, left_input=1781, right_input=4058, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-275909","layer":3},{"info":"number node, value=1618","layer":4},{"info":"number node, value=5206","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=5206, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-275909, right_input=-447, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-1116","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=-1116, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4858","layer":1},{"info":"number node, value=1751","layer":4},{"info":"compute unary expreesion, input=1751, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-7742","layer":3},{"info":"compute unary expreesion, input=-7742, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=-15363","layer":2},{"info":"number node, value=5359","layer":4},{"info":"compute unary expreesion, input=5359, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=7848","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=7848, right_input=4327, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-116","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-15363, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4858, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100011010110⪎↠≮⫘↔1001001010001)⨐(≮⫘↔10011011110+⪬∐≮⫘↔1100001010001))⋹⋡⊁((≮⫘↔11011110101⪄≮⫘↔111111011010)↼⊘⨖≮⫘↔11001010010⇻⋧≁≮⫘↔1010001010110)+((⊿≮⫘↔11011010111)⋐⇩⊬)⪒⊣⊆((∜⨇≮⫘↔1010011101111)≹⇙⪍(≮⫘↔1111010101000⊹∫⫚≮⫘↔1000011100111))=NaN","reverse_text":"NaN=((≮⫘↔100011010110⪎↠≮⫘↔1001001010001)⨐(≮⫘↔10011011110+⪬∐≮⫘↔1100001010001))⋹⋡⊁((≮⫘↔11011110101⪄≮⫘↔111111011010)↼⊘⨖≮⫘↔11001010010⇻⋧≁≮⫘↔1010001010110)+((⊿≮⫘↔11011010111)⋐⇩⊬)⪒⊣⊆((∜⨇≮⫘↔1010011101111)≹⇙⪍(≮⫘↔1111010101000⊹∫⫚≮⫘↔1000011100111))","cot":[{"info":"≮⫘↔100011010110⪎↠≮⫘↔1001001010001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10011011110+⪬∐≮⫘↔1100001010001=≮⫘↔-111010011010","layer":3},{"info":"≮⫘↔10100000⨐≮⫘↔-111010011010=≮⫘↔-101000000","layer":2},{"info":"≮⫘↔11011110101⪄≮⫘↔111111011010=≮⫘↔-1000011010111000101","layer":3},{"info":"≮⫘↔11001010010⇻⋧≁≮⫘↔1010001010110=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-1000011010111000101↼⊘⨖≮⫘↔-110111111=≮⫘↔-10001011100","layer":2},{"info":"≮⫘↔-101000000⋹⋡⊁≮⫘↔-10001011100=≮⫘↔1001011111010","layer":1},{"info":"⊿≮⫘↔11011010111=≮⫘↔-1111000111110","layer":3},{"info":"≮⫘↔-1111000111110⋐⇩⊬=≮⫘↔-11110000000011","layer":2},{"info":"∜⨇≮⫘↔1010011101111=NaN","layer":3},{"info":"≮⫘↔1111010101000⊹∫⫚≮⫘↔1000011100111=≮⫘↔-1110100","layer":3},{"info":"NaN≹⇙⪍≮⫘↔-1110100=NaN","layer":2},{"info":"≮⫘↔-11110000000011⪒⊣⊆NaN=NaN","layer":1},{"info":"≮⫘↔1001011111010+NaN=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"⋠∜(($3304$*$5139$)≨($1921$⫡⨏$3784$)↙($3618$⫁⪎$2261$⩨$3581$⪛$4328$))","expression":"⋠∜((≮⫘↔110011101000*≮⫘↔1010000010011)≨(≮⫘↔11110000001⫡⨏≮⫘↔111011001000)↙(≮⫘↔111000100010⫁⪎≮⫘↔100011010101⩨≮⫘↔110111111101⪛≮⫘↔1000011101000))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3421,"operation_count":8,"complexity_ratio":427.625,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3304,"base":2},"right_expr":{"type":"numeric_atoms","value":5139,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1921,"base":2},"right_expr":{"type":"numeric_atoms","value":3784,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3618,"base":2},"right_expr":{"type":"numeric_atoms","value":2261,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3581,"base":2},"right_expr":{"type":"numeric_atoms","value":4328,"base":2}}}}},"used_operators":["ZJpFhNJr3x","yyfyN0ffXY","0KMCeP1Jsh","9HNa5Wba9A","QMFrweE19q","2DlMacCsIx","xRrnTEsQ6j","uFcxV4UQCh"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","tmPS8pqC7x","DpFCA1CohY","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≮⫘↔-101000011110110010000100100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3304","layer":4},{"info":"number node, value=5139","layer":4},{"info":"compute binary expreesion, left_input=3304, right_input=5139, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16979256","layer":3},{"info":"number node, value=1921","layer":4},{"info":"number node, value=3784","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=3784, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17956","layer":3},{"info":"compute binary expreesion, left_input=16979256, right_input=17956, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-169790084","layer":2},{"info":"number node, value=3618","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=2261, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1357","layer":3},{"info":"number node, value=3581","layer":4},{"info":"number node, value=4328","layer":4},{"info":"compute binary expreesion, left_input=3581, right_input=4328, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3581","layer":3},{"info":"compute binary expreesion, left_input=1357, right_input=3581, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":2},{"info":"compute binary expreesion, left_input=-169790084, right_input=-6, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-169790084","layer":1},{"info":"compute unary expreesion, input=-169790084, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-679158052","layer":0}],"base":2,"result_base":2,"text":"⋠∜((≮⫘↔110011101000*≮⫘↔1010000010011)≨(≮⫘↔11110000001⫡⨏≮⫘↔111011001000)↙(≮⫘↔111000100010⫁⪎≮⫘↔100011010101⩨≮⫘↔110111111101⪛≮⫘↔1000011101000))=≮⫘↔-101000011110110010000100100100","reverse_text":"≮⫘↔-101000011110110010000100100100=⋠∜((≮⫘↔110011101000*≮⫘↔1010000010011)≨(≮⫘↔11110000001⫡⨏≮⫘↔111011001000)↙(≮⫘↔111000100010⫁⪎≮⫘↔100011010101⩨≮⫘↔110111111101⪛≮⫘↔1000011101000))","cot":[{"info":"≮⫘↔110011101000*≮⫘↔1010000010011=≮⫘↔1000000110001010100111000","layer":3},{"info":"≮⫘↔11110000001⫡⨏≮⫘↔111011001000=≮⫘↔100011000100100","layer":3},{"info":"≮⫘↔1000000110001010100111000≨≮⫘↔100011000100100=≮⫘↔-1010000111101100101010000100","layer":2},{"info":"≮⫘↔111000100010⫁⪎≮⫘↔100011010101=≮⫘↔10101001101","layer":3},{"info":"≮⫘↔110111111101⪛≮⫘↔1000011101000=≮⫘↔110111111101","layer":3},{"info":"≮⫘↔10101001101⩨≮⫘↔110111111101=≮⫘↔-110","layer":2},{"info":"≮⫘↔-1010000111101100101010000100↙≮⫘↔-110=≮⫘↔-1010000111101100101010000100","layer":1},{"info":"⋠∜≮⫘↔-1010000111101100101010000100=≮⫘↔-101000011110110010000100100100","layer":0}]}
{"id":94,"expression_no_base_symbol":"(((⨈⪑$1609$)⫡⨏$1264$*$3524$)+⇶⊼((⊀$2166$)∠↢$2731$∛$5979$))≌(($5923$⩷∴$1511$-(⩦⩻⨪$2742$))⫸⇳$4234$≒∊$3372$⇴($2088$⫌⩉⩟$3015$))","expression":"(((⨈⪑≮⫘↔11001001001)⫡⨏≮⫘↔10011110000*≮⫘↔110111000100)+⇶⊼((⊀≮⫘↔100001110110)∠↢≮⫘↔101010101011∛≮⫘↔1011101011011))≌((≮⫘↔1011100100011⩷∴≮⫘↔10111100111-(⩦⩻⨪≮⫘↔101010110110))⫸⇳≮⫘↔1000010001010≒∊≮⫘↔110100101100⇴(≮⫘↔100000101000⫌⩉⩟≮⫘↔101111000111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16383,"operation_count":15,"complexity_ratio":1092.2,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1609,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1264,"base":2},"right_expr":{"type":"numeric_atoms","value":3524,"base":2}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2166,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2731,"base":2},"right_expr":{"type":"numeric_atoms","value":5979,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5923,"base":2},"right_expr":{"type":"numeric_atoms","value":1511,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2742,"base":2}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":4234,"base":2},"right_expr":{"type":"numeric_atoms","value":3372,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2088,"base":2},"right_expr":{"type":"numeric_atoms","value":3015,"base":2}}}}},"used_operators":["lyWz822IDG","TpPTUOHfaN","QMFrweE19q","mp94q5OcYM","9HNa5Wba9A","KbjG8mgYpV","oPMjh9089D","w2537kitQq","gx7XJ7hdpj","rysDP5nf3Z","9FxExcQeMw","2td37pGCOC","4JB6nKBMSY","5KTvxBwnZo","XIIwhv8d0m"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≮⫘↔10001101111000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=3524, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4454336","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=4454336, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8913795","layer":2},{"info":"number node, value=2166","layer":4},{"info":"compute unary expreesion, input=2166, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8402","layer":3},{"info":"number node, value=2731","layer":4},{"info":"number node, value=5979","layer":4},{"info":"compute binary expreesion, left_input=2731, right_input=5979, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=8402, right_input=-670, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-23146","layer":2},{"info":"compute binary expreesion, left_input=8913795, right_input=-23146, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=5923","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=5923, right_input=1511, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8792","layer":3},{"info":"number node, value=2742","layer":4},{"info":"compute unary expreesion, input=2742, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2742","layer":3},{"info":"compute binary expreesion, left_input=8792, right_input=2742, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6050","layer":2},{"info":"number node, value=4234","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=4234, right_input=3372, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3750","layer":3},{"info":"number node, value=2088","layer":4},{"info":"number node, value=3015","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=3015, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-3750, right_input=-50, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-22986","layer":2},{"info":"compute binary expreesion, left_input=6050, right_input=-22986, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":0}],"base":2,"result_base":2,"text":"(((⨈⪑≮⫘↔11001001001)⫡⨏≮⫘↔10011110000*≮⫘↔110111000100)+⇶⊼((⊀≮⫘↔100001110110)∠↢≮⫘↔101010101011∛≮⫘↔1011101011011))≌((≮⫘↔1011100100011⩷∴≮⫘↔10111100111-(⩦⩻⨪≮⫘↔101010110110))⫸⇳≮⫘↔1000010001010≒∊≮⫘↔110100101100⇴(≮⫘↔100000101000⫌⩉⩟≮⫘↔101111000111))=≮⫘↔10001101111000","reverse_text":"≮⫘↔10001101111000=(((⨈⪑≮⫘↔11001001001)⫡⨏≮⫘↔10011110000*≮⫘↔110111000100)+⇶⊼((⊀≮⫘↔100001110110)∠↢≮⫘↔101010101011∛≮⫘↔1011101011011))≌((≮⫘↔1011100100011⩷∴≮⫘↔10111100111-(⩦⩻⨪≮⫘↔101010110110))⫸⇳≮⫘↔1000010001010≒∊≮⫘↔110100101100⇴(≮⫘↔100000101000⫌⩉⩟≮⫘↔101111000111))","cot":[{"info":"⨈⪑≮⫘↔11001001001=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔10011110000*≮⫘↔110111000100=≮⫘↔10000111111011111000000","layer":3},{"info":"≮⫘↔1101100100⫡⨏≮⫘↔10000111111011111000000=≮⫘↔100010000000001110000011","layer":2},{"info":"⊀≮⫘↔100001110110=≮⫘↔10000011010010","layer":3},{"info":"≮⫘↔101010101011∛≮⫘↔1011101011011=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔10000011010010∠↢≮⫘↔-1010011110=≮⫘↔-101101001101010","layer":2},{"info":"≮⫘↔100010000000001110000011+⇶⊼≮⫘↔-101101001101010=NaN","layer":1},{"info":"≮⫘↔1011100100011⩷∴≮⫘↔10111100111=≮⫘↔10001001011000","layer":3},{"info":"⩦⩻⨪≮⫘↔101010110110=≮⫘↔101010110110","layer":3},{"info":"≮⫘↔10001001011000-≮⫘↔101010110110=≮⫘↔1011110100010","layer":2},{"info":"≮⫘↔1000010001010≒∊≮⫘↔110100101100=≮⫘↔-111010100110","layer":3},{"info":"≮⫘↔100000101000⫌⩉⩟≮⫘↔101111000111=≮⫘↔-110010","layer":3},{"info":"≮⫘↔-111010100110⇴≮⫘↔-110010=≮⫘↔-101100111001010","layer":2},{"info":"≮⫘↔1011110100010⫸⇳≮⫘↔-101100111001010=≮⫘↔0","layer":1},{"info":"NaN≌≮⫘↔0=≮⫘↔10001101111000","layer":0}]}
{"id":95,"expression_no_base_symbol":"((⫶⊄≣$2723$)⫥∨⫟($3788$⫸⇳$3821$))⨸(($1374$⪉⨛$3522$)⪡$2051$⨚⇆$1028$)⪭≯(($1345$⩨$3391$)⫏⊷)⪡($4088$∌$1493$*$4422$⪒⊣⊆$8367$)","expression":"((⫶⊄≣≮⫘↔101010100011)⫥∨⫟(≮⫘↔111011001100⫸⇳≮⫘↔111011101101))⨸((≮⫘↔10101011110⪉⨛≮⫘↔110111000010)⪡≮⫘↔100000000011⨚⇆≮⫘↔10000000100)⪭≯((≮⫘↔10101000001⩨≮⫘↔110100111111)⫏⊷)⪡(≮⫘↔111111111000∌≮⫘↔10111010101*≮⫘↔1000101000110⪒⊣⊆≮⫘↔10000010101111)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19283,"operation_count":14,"complexity_ratio":1377.357142857143,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2723,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3788,"base":2},"right_expr":{"type":"numeric_atoms","value":3821,"base":2}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1374,"base":2},"right_expr":{"type":"numeric_atoms","value":3522,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2051,"base":2},"right_expr":{"type":"numeric_atoms","value":1028,"base":2}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1345,"base":2},"right_expr":{"type":"numeric_atoms","value":3391,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4088,"base":2},"right_expr":{"type":"numeric_atoms","value":1493,"base":2}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4422,"base":2},"right_expr":{"type":"numeric_atoms","value":8367,"base":2}}}}},"used_operators":["XAx5wpdLa6","KmoU8R5UQR","KYD54nUTWz","wxb3vTeyAj","gx7XJ7hdpj","oraRL2iQuh","EWw2JM7wp4","lwHaAYXP2r","dcShxvzhyw","2DlMacCsIx","9HNa5Wba9A","8cLx32lpNA","eRqsBgTDFp"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2723","layer":4},{"info":"compute unary expreesion, input=2723, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=133510825","layer":3},{"info":"number node, value=3788","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=3821, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=133510825, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1374","layer":4},{"info":"number node, value=3522","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=3522, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=815","layer":3},{"info":"number node, value=2051","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=1028, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=815, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"number node, value=1345","layer":4},{"info":"number node, value=3391","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=3391, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=7520","layer":2},{"info":"number node, value=4088","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=1493, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1493","layer":3},{"info":"number node, value=4422","layer":4},{"info":"number node, value=8367","layer":4},{"info":"compute binary expreesion, left_input=4422, right_input=8367, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8844","layer":3},{"info":"compute binary expreesion, left_input=-1493, right_input=8844, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-13204092","layer":2},{"info":"compute binary expreesion, left_input=7520, right_input=-13204092, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-13203987","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13203987, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⫶⊄≣≮⫘↔101010100011)⫥∨⫟(≮⫘↔111011001100⫸⇳≮⫘↔111011101101))⨸((≮⫘↔10101011110⪉⨛≮⫘↔110111000010)⪡≮⫘↔100000000011⨚⇆≮⫘↔10000000100)⪭≯((≮⫘↔10101000001⩨≮⫘↔110100111111)⫏⊷)⪡(≮⫘↔111111111000∌≮⫘↔10111010101*≮⫘↔1000101000110⪒⊣⊆≮⫘↔10000010101111)=NaN","reverse_text":"NaN=((⫶⊄≣≮⫘↔101010100011)⫥∨⫟(≮⫘↔111011001100⫸⇳≮⫘↔111011101101))⨸((≮⫘↔10101011110⪉⨛≮⫘↔110111000010)⪡≮⫘↔100000000011⨚⇆≮⫘↔10000000100)⪭≯((≮⫘↔10101000001⩨≮⫘↔110100111111)⫏⊷)⪡(≮⫘↔111111111000∌≮⫘↔10111010101*≮⫘↔1000101000110⪒⊣⊆≮⫘↔10000010101111)","cot":[{"info":"⫶⊄≣≮⫘↔101010100011=≮⫘↔111111101010011011010101001","layer":3},{"info":"≮⫘↔111011001100⫸⇳≮⫘↔111011101101=≮⫘↔0","layer":3},{"info":"≮⫘↔111111101010011011010101001⫥∨⫟≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10101011110⪉⨛≮⫘↔110111000010=≮⫘↔1100101111","layer":3},{"info":"≮⫘↔100000000011⨚⇆≮⫘↔10000000100=NaN","layer":3},{"info":"≮⫘↔1100101111⪡NaN=NaN","layer":2},{"info":"NaN⨸NaN=NaN","layer":1},{"info":"≮⫘↔10101000001⩨≮⫘↔110100111111=≮⫘↔-110","layer":3},{"info":"≮⫘↔-110⫏⊷=≮⫘↔1110101100000","layer":2},{"info":"≮⫘↔111111111000∌≮⫘↔10111010101=≮⫘↔-10111010101","layer":3},{"info":"≮⫘↔1000101000110⪒⊣⊆≮⫘↔10000010101111=≮⫘↔10001010001100","layer":3},{"info":"≮⫘↔-10111010101*≮⫘↔10001010001100=≮⫘↔-110010010111101001111100","layer":2},{"info":"≮⫘↔1110101100000⪡≮⫘↔-110010010111101001111100=≮⫘↔-110010010111101000010011","layer":1},{"info":"NaN⪭≯≮⫘↔-110010010111101000010011=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"($8354$≹⇙⪍$2209$⫰⋱($1122$⇪⋭)%($2921$∓⋝$5367$⪠⩆⊳))⋕⪉⪜(($1028$⊕∕$5224$⋻⩜⩜$6109$↙$1383$)⋣⋖(($2472$⪕$2080$)⫒⫫($1213$⊋≦⊧$2722$)))","expression":"(≮⫘↔10000010100010≹⇙⪍≮⫘↔100010100001⫰⋱(≮⫘↔10001100010⇪⋭)%(≮⫘↔101101101001∓⋝≮⫘↔1010011110111⪠⩆⊳))⋕⪉⪜((≮⫘↔10000000100⊕∕≮⫘↔1010001101000⋻⩜⩜≮⫘↔1011111011101↙≮⫘↔10101100111)⋣⋖((≮⫘↔100110101000⪕≮⫘↔100000100000)⫒⫫(≮⫘↔10010111101⊋≦⊧≮⫘↔101010100010)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":59612,"operation_count":14,"complexity_ratio":4258.0,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":8354,"base":2},"right_expr":{"type":"numeric_atoms","value":2209,"base":2}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1122,"base":2}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2921,"base":2},"right_expr":{"type":"numeric_atoms","value":5367,"base":2}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1028,"base":2},"right_expr":{"type":"numeric_atoms","value":5224,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6109,"base":2},"right_expr":{"type":"numeric_atoms","value":1383,"base":2}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2472,"base":2},"right_expr":{"type":"numeric_atoms","value":2080,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1213,"base":2},"right_expr":{"type":"numeric_atoms","value":2722,"base":2}}}}},"used_operators":["z6LnFrNh4i","k8jYdgA6NY","6o9Blt3TJ6","AHs5Up7iyr","Z8Yg6dlDSp","JLbD19bQDL","PoHhknlbAi","J0M6qkBnIM","oDCm7WA9JY","9cloC0Ngie","yyfyN0ffXY","6Ko8hGgeMq","umQnsF7QlU","oRDoc9rAEX"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","dWAJyo7jo9","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","tmPS8pqC7x","DpFCA1CohY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"≮⫘↔11001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8354","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=8354, right_input=2209, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=2921","layer":4},{"info":"number node, value=5367","layer":4},{"info":"compute binary expreesion, left_input=2921, right_input=5367, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1028","layer":4},{"info":"number node, value=5224","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=5224, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1028","layer":3},{"info":"number node, value=6109","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=6109, right_input=1383, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4149","layer":3},{"info":"compute binary expreesion, left_input=1028, right_input=-4149, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2056","layer":2},{"info":"number node, value=2472","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=2080, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3765","layer":3},{"info":"number node, value=1213","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=2722, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3695","layer":3},{"info":"compute binary expreesion, left_input=3765, right_input=-3695, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2056, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2056","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2056, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000010100010≹⇙⪍≮⫘↔100010100001⫰⋱(≮⫘↔10001100010⇪⋭)%(≮⫘↔101101101001∓⋝≮⫘↔1010011110111⪠⩆⊳))⋕⪉⪜((≮⫘↔10000000100⊕∕≮⫘↔1010001101000⋻⩜⩜≮⫘↔1011111011101↙≮⫘↔10101100111)⋣⋖((≮⫘↔100110101000⪕≮⫘↔100000100000)⫒⫫(≮⫘↔10010111101⊋≦⊧≮⫘↔101010100010)))=≮⫘↔11001100","reverse_text":"≮⫘↔11001100=(≮⫘↔10000010100010≹⇙⪍≮⫘↔100010100001⫰⋱(≮⫘↔10001100010⇪⋭)%(≮⫘↔101101101001∓⋝≮⫘↔1010011110111⪠⩆⊳))⋕⪉⪜((≮⫘↔10000000100⊕∕≮⫘↔1010001101000⋻⩜⩜≮⫘↔1011111011101↙≮⫘↔10101100111)⋣⋖((≮⫘↔100110101000⪕≮⫘↔100000100000)⫒⫫(≮⫘↔10010111101⊋≦⊧≮⫘↔101010100010)))","cot":[{"info":"≮⫘↔10000010100010≹⇙⪍≮⫘↔100010100001=NaN","layer":3},{"info":"≮⫘↔10001100010⇪⋭=NaN","layer":3},{"info":"NaN⫰⋱NaN=NaN","layer":2},{"info":"≮⫘↔101101101001∓⋝≮⫘↔1010011110111=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1000011⪠⩆⊳=≮⫘↔0","layer":2},{"info":"NaN%≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔10000000100⊕∕≮⫘↔1010001101000=≮⫘↔10000000100","layer":3},{"info":"≮⫘↔1011111011101↙≮⫘↔10101100111=≮⫘↔-1000000110101","layer":3},{"info":"≮⫘↔10000000100⋻⩜⩜≮⫘↔-1000000110101=≮⫘↔100000001000","layer":2},{"info":"≮⫘↔100110101000⪕≮⫘↔100000100000=≮⫘↔111010110101","layer":3},{"info":"≮⫘↔10010111101⊋≦⊧≮⫘↔101010100010=≮⫘↔-111001101111","layer":3},{"info":"≮⫘↔111010110101⫒⫫≮⫘↔-111001101111=NaN","layer":2},{"info":"≮⫘↔100000001000⋣⋖NaN=≮⫘↔100000001000","layer":1},{"info":"NaN⋕⪉⪜≮⫘↔100000001000=≮⫘↔11001100","layer":0}]}
{"id":97,"expression_no_base_symbol":"(⫟$1132$→⨶⪴$1915$)⪎↠(∓($1786$-$1803$))⊲⩕⊾((($2502$⪎↠$6206$)⊍)↺($1104$⪃⊛⇣$1043$⊾⪯⋞($2291$*$3737$)))","expression":"(⫟≮⫘↔10001101100→⨶⪴≮⫘↔11101111011)⪎↠(∓(≮⫘↔11011111010-≮⫘↔11100001011))⊲⩕⊾(((≮⫘↔100111000110⪎↠≮⫘↔1100000111110)⊍)↺(≮⫘↔10001010000⪃⊛⇣≮⫘↔10000010011⊾⪯⋞(≮⫘↔100011110011*≮⫘↔111010011001)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3022,"operation_count":12,"complexity_ratio":251.83333333333334,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1132,"base":2},"right_expr":{"type":"numeric_atoms","value":1915,"base":2}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1786,"base":2},"right_expr":{"type":"numeric_atoms","value":1803,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2502,"base":2},"right_expr":{"type":"numeric_atoms","value":6206,"base":2}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1104,"base":2},"right_expr":{"type":"numeric_atoms","value":1043,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2291,"base":2},"right_expr":{"type":"numeric_atoms","value":3737,"base":2}}}}},"used_operators":["DmTXOeWf9t","3tVxb0NHM4","z4E1FaHLuy","bF6eod5Gvf","OwUj7dcsQK","rysDP5nf3Z","7j4O788W3g","3nqY3DE9mg","HK0tfVPux8","rrgAzCduG9","9HNa5Wba9A"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe"],"result":"≮⫘↔-1010001101001010110011001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=1915, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5745","layer":3},{"info":"compute unary expreesion, input=-5745, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=5507","layer":2},{"info":"number node, value=1786","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=1803, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-17","layer":3},{"info":"compute unary expreesion, input=-17, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-4617","layer":2},{"info":"compute binary expreesion, left_input=5507, right_input=-4617, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"number node, value=2502","layer":4},{"info":"number node, value=6206","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=6206, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-3129","layer":2},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1043, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2291","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=3737, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8561467","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=8561467, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=17122508","layer":2},{"info":"compute binary expreesion, left_input=-3129, right_input=17122508, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=17122508","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=17122508, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-171224270","layer":0}],"base":2,"result_base":2,"text":"(⫟≮⫘↔10001101100→⨶⪴≮⫘↔11101111011)⪎↠(∓(≮⫘↔11011111010-≮⫘↔11100001011))⊲⩕⊾(((≮⫘↔100111000110⪎↠≮⫘↔1100000111110)⊍)↺(≮⫘↔10001010000⪃⊛⇣≮⫘↔10000010011⊾⪯⋞(≮⫘↔100011110011*≮⫘↔111010011001)))=≮⫘↔-1010001101001010110011001110","reverse_text":"≮⫘↔-1010001101001010110011001110=(⫟≮⫘↔10001101100→⨶⪴≮⫘↔11101111011)⪎↠(∓(≮⫘↔11011111010-≮⫘↔11100001011))⊲⩕⊾(((≮⫘↔100111000110⪎↠≮⫘↔1100000111110)⊍)↺(≮⫘↔10001010000⪃⊛⇣≮⫘↔10000010011⊾⪯⋞(≮⫘↔100011110011*≮⫘↔111010011001)))","cot":[{"info":"≮⫘↔10001101100→⨶⪴≮⫘↔11101111011=≮⫘↔-1011001110001","layer":3},{"info":"⫟≮⫘↔-1011001110001=≮⫘↔1010110000011","layer":2},{"info":"≮⫘↔11011111010-≮⫘↔11100001011=≮⫘↔-10001","layer":3},{"info":"∓≮⫘↔-10001=≮⫘↔-1001000001001","layer":2},{"info":"≮⫘↔1010110000011⪎↠≮⫘↔-1001000001001=≮⫘↔10100000","layer":1},{"info":"≮⫘↔100111000110⪎↠≮⫘↔1100000111110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⊍=≮⫘↔-110000111001","layer":2},{"info":"≮⫘↔10001010000⪃⊛⇣≮⫘↔10000010011=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔100011110011*≮⫘↔111010011001=≮⫘↔100000101010001100111011","layer":3},{"info":"≮⫘↔10011010010⊾⪯⋞≮⫘↔100000101010001100111011=≮⫘↔1000001010100010011001100","layer":2},{"info":"≮⫘↔-110000111001↺≮⫘↔1000001010100010011001100=≮⫘↔1000001010100010011001100","layer":1},{"info":"≮⫘↔10100000⊲⩕⊾≮⫘↔1000001010100010011001100=≮⫘↔-1010001101001010110011001110","layer":0}]}
{"id":98,"expression_no_base_symbol":"(⨵($2879$∓⋝$1462$⪒$1554$⋳⪒$1809$))⊅","expression":"(⨵(≮⫘↔101100111111∓⋝≮⫘↔10110110110⪒≮⫘↔11000010010⋳⪒≮⫘↔11100010001))⊅","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":229,"operation_count":5,"complexity_ratio":45.8,"tree":{"type":"unary","operator":"⊅","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2879,"base":2},"right_expr":{"type":"numeric_atoms","value":1462,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1554,"base":2},"right_expr":{"type":"numeric_atoms","value":1809,"base":2}}}}},"used_operators":["7p6YLioM7f","Tl3Y52tvF8","f6k1SAg4EE","PoHhknlbAi","12rbrZMWeM"],"dependent_operators":["SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2879","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=1462, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1554","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=1809, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1012","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1012, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1079","layer":2},{"info":"compute unary expreesion, input=-1079, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=28751","layer":1},{"info":"compute unary expreesion, input=28751, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":0}],"base":2,"result_base":2,"text":"(⨵(≮⫘↔101100111111∓⋝≮⫘↔10110110110⪒≮⫘↔11000010010⋳⪒≮⫘↔11100010001))⊅=≮⫘↔-10101110","reverse_text":"≮⫘↔-10101110=(⨵(≮⫘↔101100111111∓⋝≮⫘↔10110110110⪒≮⫘↔11000010010⋳⪒≮⫘↔11100010001))⊅","cot":[{"info":"≮⫘↔101100111111∓⋝≮⫘↔10110110110=≮⫘↔1000011","layer":3},{"info":"≮⫘↔11000010010⋳⪒≮⫘↔11100010001=≮⫘↔1111110100","layer":3},{"info":"≮⫘↔1000011⪒≮⫘↔1111110100=≮⫘↔-10000110111","layer":2},{"info":"⨵≮⫘↔-10000110111=≮⫘↔111000001001111","layer":1},{"info":"≮⫘↔111000001001111⊅=≮⫘↔-10101110","layer":0}]}
{"id":99,"expression_no_base_symbol":"⊑(($6137$⩹$1463$)≎⊠⪸(⫎≠⋺$2865$)≃(⫓⪴($6658$∪⫐$1670$)))","expression":"⊑((≮⫘↔1011111111001⩹≮⫘↔10110110111)≎⊠⪸(⫎≠⋺≮⫘↔101100110001)≃(⫓⪴(≮⫘↔1101000000010∪⫐≮⫘↔11010000110)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7388,"operation_count":7,"complexity_ratio":1055.4285714285713,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":6137,"base":2},"right_expr":{"type":"numeric_atoms","value":1463,"base":2}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2865,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6658,"base":2},"right_expr":{"type":"numeric_atoms","value":1670,"base":2}}}}},"used_operators":["IkUmn0D7oy","YbVcJGFEVW","bJkvcejdHO","2Wsdkap16l","LYeZOJ0nQG","eLxqMNBOBk","7YooWSwCyH"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","rJVOvQCfKK","2DDjHMKMc0"],"result":"≮⫘↔11000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6137","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=1463, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1461","layer":3},{"info":"number node, value=2865","layer":4},{"info":"compute unary expreesion, input=2865, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1461, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=377926","layer":2},{"info":"number node, value=6658","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=6658, right_input=1670, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6658","layer":3},{"info":"compute unary expreesion, input=6658, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=44328964","layer":2},{"info":"compute binary expreesion, left_input=377926, right_input=44328964, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-1511744","layer":1},{"info":"compute unary expreesion, input=-1511744, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":2,"result_base":2,"text":"⊑((≮⫘↔1011111111001⩹≮⫘↔10110110111)≎⊠⪸(⫎≠⋺≮⫘↔101100110001)≃(⫓⪴(≮⫘↔1101000000010∪⫐≮⫘↔11010000110)))=≮⫘↔11000000","reverse_text":"≮⫘↔11000000=⊑((≮⫘↔1011111111001⩹≮⫘↔10110110111)≎⊠⪸(⫎≠⋺≮⫘↔101100110001)≃(⫓⪴(≮⫘↔1101000000010∪⫐≮⫘↔11010000110)))","cot":[{"info":"≮⫘↔1011111111001⩹≮⫘↔10110110111=≮⫘↔10110110101","layer":3},{"info":"⫎≠⋺≮⫘↔101100110001=≮⫘↔0","layer":3},{"info":"≮⫘↔10110110101≎⊠⪸≮⫘↔0=≮⫘↔1011100010001000110","layer":2},{"info":"≮⫘↔1101000000010∪⫐≮⫘↔11010000110=≮⫘↔1101000000010","layer":3},{"info":"⫓⪴≮⫘↔1101000000010=≮⫘↔10101001000110100000000100","layer":2},{"info":"≮⫘↔1011100010001000110≃≮⫘↔10101001000110100000000100=≮⫘↔-101110001000101000000","layer":1},{"info":"⊑≮⫘↔-101110001000101000000=≮⫘↔11000000","layer":0}]}
{"id":100,"expression_no_base_symbol":"(≔($1073$⇋≉)≁↽≥(⇘$1065$))⩦(($3902$≦↸$1273$∛≔)⫑%∭)","expression":"(≔(≮⫘↔10000110001⇋≉)≁↽≥(⇘≮⫘↔10000101001))⩦((≮⫘↔111100111110≦↸≮⫘↔10011111001∛≔)⫑%∭)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13239,"operation_count":8,"complexity_ratio":1654.875,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1073,"base":2}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1065,"base":2}}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3902,"base":2},"right_expr":{"type":"numeric_atoms","value":1273,"base":2}}}}},"used_operators":["0kmYd0q39Y","8FLs4eVsLt","ncHt1X6cMc","XIabStNQrY","MGuIdZPyUC","xUx7qlDO4z","mGnSCrte3L","RygbFNSyEJ"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2048","layer":3},{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=58282","layer":3},{"info":"compute binary expreesion, left_input=2048, right_input=58282, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=40652","layer":2},{"info":"compute unary expreesion, input=40652, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-1136962","layer":1},{"info":"number node, value=3902","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=1273, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9669","layer":3},{"info":"compute unary expreesion, input=-9669, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"compute unary expreesion, input=-305287, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1136962, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≔(≮⫘↔10000110001⇋≉)≁↽≥(⇘≮⫘↔10000101001))⩦((≮⫘↔111100111110≦↸≮⫘↔10011111001∛≔)⫑%∭)=NaN","reverse_text":"NaN=(≔(≮⫘↔10000110001⇋≉)≁↽≥(⇘≮⫘↔10000101001))⩦((≮⫘↔111100111110≦↸≮⫘↔10011111001∛≔)⫑%∭)","cot":[{"info":"≮⫘↔10000110001⇋≉=≮⫘↔100000000000","layer":3},{"info":"⇘≮⫘↔10000101001=≮⫘↔1110001110101010","layer":3},{"info":"≮⫘↔100000000000≁↽≥≮⫘↔1110001110101010=≮⫘↔1001111011001100","layer":2},{"info":"≔≮⫘↔1001111011001100=≮⫘↔-100010101100101000010","layer":1},{"info":"≮⫘↔111100111110≦↸≮⫘↔10011111001=≮⫘↔-10010111000101","layer":3},{"info":"≮⫘↔-10010111000101∛≔=≮⫘↔-1001010100010000111","layer":2},{"info":"≮⫘↔-1001010100010000111⫑%∭=NaN","layer":1},{"info":"≮⫘↔-100010101100101000010⩦NaN=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"(⊤⊝($5094$⇡)⨸($1923$⪉⨛$1422$))⊭↱((⋗⩬⋾$4493$)∛≔)⊲⩕⊾(⩒∊$4378$)⊴($5769$↬⩅∪)","expression":"(⊤⊝(≮⫘↔1001111100110⇡)⨸(≮⫘↔11110000011⪉⨛≮⫘↔10110001110))⊭↱((⋗⩬⋾≮⫘↔1000110001101)∛≔)⊲⩕⊾(⩒∊≮⫘↔1000100011010)⊴(≮⫘↔1011010001001↬⩅∪)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":34313,"operation_count":11,"complexity_ratio":3119.3636363636365,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":5094,"base":2}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1923,"base":2},"right_expr":{"type":"numeric_atoms","value":1422,"base":2}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4493,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4378,"base":2}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":5769,"base":2}}}}},"used_operators":["COABgblf1C","rXAclfmB4M","KmoU8R5UQR","UqFzSgLMvQ","EWw2JM7wp4","DmTXOeWf9t","mGnSCrte3L","DpFCA1CohY","Nsiff2A1zJ","qazvmhNBbN","VJ330n2nnx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5094","layer":4},{"info":"compute unary expreesion, input=5094, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=1923","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=1422, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4562","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=4562, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5834","layer":2},{"info":"compute unary expreesion, input=5834, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=10370","layer":1},{"info":"number node, value=4493","layer":4},{"info":"compute unary expreesion, input=4493, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13479","layer":3},{"info":"compute unary expreesion, input=-13479, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"number node, value=4378","layer":4},{"info":"compute unary expreesion, input=4378, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=7999","layer":3},{"info":"number node, value=5769","layer":4},{"info":"compute unary expreesion, input=5769, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-17307","layer":3},{"info":"compute binary expreesion, left_input=7999, right_input=-17307, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-305287, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10370, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊤⊝(≮⫘↔1001111100110⇡)⨸(≮⫘↔11110000011⪉⨛≮⫘↔10110001110))⊭↱((⋗⩬⋾≮⫘↔1000110001101)∛≔)⊲⩕⊾(⩒∊≮⫘↔1000100011010)⊴(≮⫘↔1011010001001↬⩅∪)=NaN","reverse_text":"NaN=(⊤⊝(≮⫘↔1001111100110⇡)⨸(≮⫘↔11110000011⪉⨛≮⫘↔10110001110))⊭↱((⋗⩬⋾≮⫘↔1000110001101)∛≔)⊲⩕⊾(⩒∊≮⫘↔1000100011010)⊴(≮⫘↔1011010001001↬⩅∪)","cot":[{"info":"≮⫘↔1001111100110⇡=≮⫘↔-101101100101","layer":3},{"info":"≮⫘↔11110000011⪉⨛≮⫘↔10110001110=≮⫘↔1000111010010","layer":3},{"info":"≮⫘↔-101101100101⨸≮⫘↔1000111010010=≮⫘↔1011011001010","layer":2},{"info":"⊤⊝≮⫘↔1011011001010=≮⫘↔10100010000010","layer":1},{"info":"⋗⩬⋾≮⫘↔1000110001101=≮⫘↔-11010010100111","layer":3},{"info":"≮⫘↔-11010010100111∛≔=≮⫘↔-1001010100010000111","layer":2},{"info":"⩒∊≮⫘↔1000100011010=≮⫘↔1111100111111","layer":3},{"info":"≮⫘↔1011010001001↬⩅∪=≮⫘↔-100001110011011","layer":3},{"info":"≮⫘↔1111100111111⊴≮⫘↔-100001110011011=NaN","layer":2},{"info":"≮⫘↔-1001010100010000111⊲⩕⊾NaN=NaN","layer":1},{"info":"≮⫘↔10100010000010⊭↱NaN=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"(($2019$⪔⊥$5680$⩵∡$3038$⩦$1433$)⊋≦⊧($2798$⊨$4801$+⇶⊼$4297$∘$2515$))≎⪠(($5621$⨒$1663$)⪘⫢($2051$⇣⩺⋵$8495$)≃($2908$⊉≛↸$4831$)⫯⪬∳($4182$⇗⋫))","expression":"((≮⫘↔11111100011⪔⊥≮⫘↔1011000110000⩵∡≮⫘↔101111011110⩦≮⫘↔10110011001)⊋≦⊧(≮⫘↔101011101110⊨≮⫘↔1001011000001+⇶⊼≮⫘↔1000011001001∘≮⫘↔100111010011))≎⪠((≮⫘↔1010111110101⨒≮⫘↔11001111111)⪘⫢(≮⫘↔100000000011⇣⩺⋵≮⫘↔10000100101111)≃(≮⫘↔101101011100⊉≛↸≮⫘↔1001011011111)⫯⪬∳(≮⫘↔1000001010110⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19279,"operation_count":15,"complexity_ratio":1285.2666666666667,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2019,"base":2},"right_expr":{"type":"numeric_atoms","value":5680,"base":2}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3038,"base":2},"right_expr":{"type":"numeric_atoms","value":1433,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2798,"base":2},"right_expr":{"type":"numeric_atoms","value":4801,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4297,"base":2},"right_expr":{"type":"numeric_atoms","value":2515,"base":2}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5621,"base":2},"right_expr":{"type":"numeric_atoms","value":1663,"base":2}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2051,"base":2},"right_expr":{"type":"numeric_atoms","value":8495,"base":2}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2908,"base":2},"right_expr":{"type":"numeric_atoms","value":4831,"base":2}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":4182,"base":2}}}}},"used_operators":["aNhz54LH3e","oRDoc9rAEX","Y7wcNGrDQJ","HJ9erzHUuu","0kmYd0q39Y","TpPTUOHfaN","vg4gO5BX6G","Z5m6OM72h2","YbVcJGFEVW","oacrs7FA3X","y75s1iXyHd","F4yD0voBRQ","d7ASUq0ydm","DZ8iAZOCBD","hpqmaQFPrd"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx"],"result":"≮⫘↔100110001100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2019","layer":4},{"info":"number node, value=5680","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=5680, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3483","layer":3},{"info":"number node, value=3038","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=1433, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6076","layer":3},{"info":"compute binary expreesion, left_input=-3483, right_input=6076, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=16404","layer":2},{"info":"number node, value=2798","layer":4},{"info":"number node, value=4801","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=4801, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=12223","layer":3},{"info":"number node, value=4297","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=4297, right_input=2515, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8594","layer":3},{"info":"compute binary expreesion, left_input=12223, right_input=8594, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16404, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=5621","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=5621, right_input=1663, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-33354","layer":3},{"info":"number node, value=2051","layer":4},{"info":"number node, value=8495","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=8495, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-8724","layer":3},{"info":"compute binary expreesion, left_input=-33354, right_input=-8724, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=2908","layer":4},{"info":"number node, value=4831","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=4831, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5816","layer":3},{"info":"number node, value=4182","layer":4},{"info":"compute unary expreesion, input=4182, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5816, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=17515","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=17515, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-36","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-36, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11111100011⪔⊥≮⫘↔1011000110000⩵∡≮⫘↔101111011110⩦≮⫘↔10110011001)⊋≦⊧(≮⫘↔101011101110⊨≮⫘↔1001011000001+⇶⊼≮⫘↔1000011001001∘≮⫘↔100111010011))≎⪠((≮⫘↔1010111110101⨒≮⫘↔11001111111)⪘⫢(≮⫘↔100000000011⇣⩺⋵≮⫘↔10000100101111)≃(≮⫘↔101101011100⊉≛↸≮⫘↔1001011011111)⫯⪬∳(≮⫘↔1000001010110⇗⋫))=≮⫘↔100110001100110","reverse_text":"≮⫘↔100110001100110=((≮⫘↔11111100011⪔⊥≮⫘↔1011000110000⩵∡≮⫘↔101111011110⩦≮⫘↔10110011001)⊋≦⊧(≮⫘↔101011101110⊨≮⫘↔1001011000001+⇶⊼≮⫘↔1000011001001∘≮⫘↔100111010011))≎⪠((≮⫘↔1010111110101⨒≮⫘↔11001111111)⪘⫢(≮⫘↔100000000011⇣⩺⋵≮⫘↔10000100101111)≃(≮⫘↔101101011100⊉≛↸≮⫘↔1001011011111)⫯⪬∳(≮⫘↔1000001010110⇗⋫))","cot":[{"info":"≮⫘↔11111100011⪔⊥≮⫘↔1011000110000=≮⫘↔-110110011011","layer":3},{"info":"≮⫘↔101111011110⩦≮⫘↔10110011001=≮⫘↔1011110111100","layer":3},{"info":"≮⫘↔-110110011011⩵∡≮⫘↔1011110111100=≮⫘↔100000000010100","layer":2},{"info":"≮⫘↔101011101110⊨≮⫘↔1001011000001=≮⫘↔10111110111111","layer":3},{"info":"≮⫘↔1000011001001∘≮⫘↔100111010011=≮⫘↔10000110010010","layer":3},{"info":"≮⫘↔10111110111111+⇶⊼≮⫘↔10000110010010=NaN","layer":2},{"info":"≮⫘↔100000000010100⊋≦⊧NaN=NaN","layer":1},{"info":"≮⫘↔1010111110101⨒≮⫘↔11001111111=≮⫘↔-1000001001001010","layer":3},{"info":"≮⫘↔100000000011⇣⩺⋵≮⫘↔10000100101111=≮⫘↔-10001000010100","layer":3},{"info":"≮⫘↔-1000001001001010⪘⫢≮⫘↔-10001000010100=≮⫘↔-1","layer":2},{"info":"≮⫘↔101101011100⊉≛↸≮⫘↔1001011011111=≮⫘↔1011010111000","layer":3},{"info":"≮⫘↔1000001010110⇗⋫=NaN","layer":3},{"info":"≮⫘↔1011010111000⫯⪬∳NaN=≮⫘↔100010001101011","layer":2},{"info":"≮⫘↔-1≃≮⫘↔100010001101011=≮⫘↔-100100","layer":1},{"info":"NaN≎⪠≮⫘↔-100100=≮⫘↔100110001100110","layer":0}]}
{"id":103,"expression_no_base_symbol":"(⊿($3784$⨫⇇↔$3541$⊘))⊦⊿","expression":"(⊿(≮⫘↔111011001000⨫⇇↔≮⫘↔110111010101⊘))⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":64,"operation_count":4,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3784,"base":2},"right_expr":{"type":"numeric_atoms","value":3541,"base":2}}}}},"used_operators":["14qkJME0vr","DO4fhlbJSI","gu96TGCTMs","LXhwmt4mBO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"≮⫘↔100001001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3784","layer":4},{"info":"number node, value=3541","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=3541, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-734","layer":1},{"info":"compute unary expreesion, input=-734, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=2123","layer":0}],"base":2,"result_base":2,"text":"(⊿(≮⫘↔111011001000⨫⇇↔≮⫘↔110111010101⊘))⊦⊿=≮⫘↔100001001011","reverse_text":"≮⫘↔100001001011=(⊿(≮⫘↔111011001000⨫⇇↔≮⫘↔110111010101⊘))⊦⊿","cot":[{"info":"≮⫘↔111011001000⨫⇇↔≮⫘↔110111010101=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔-1000001111⊘=≮⫘↔-1","layer":2},{"info":"⊿≮⫘↔-1=≮⫘↔-1011011110","layer":1},{"info":"≮⫘↔-1011011110⊦⊿=≮⫘↔100001001011","layer":0}]}
{"id":104,"expression_no_base_symbol":"($2342$→⨶⪴$1472$⫚↹⊑$2103$↬$4917$)⨫⇇↔(⊤⊝$1079$)↳∿⪆$4699$↢$2094$⫢⨠(($2560$∛≔)↼⊘⨖$1793$↓$1159$⩺⋐⫨)","expression":"(≮⫘↔100100100110→⨶⪴≮⫘↔10111000000⫚↹⊑≮⫘↔100000110111↬≮⫘↔1001100110101)⨫⇇↔(⊤⊝≮⫘↔10000110111)↳∿⪆≮⫘↔1001001011011↢≮⫘↔100000101110⫢⨠((≮⫘↔101000000000∛≔)↼⊘⨖≮⫘↔11100000001↓≮⫘↔10010000111⩺⋐⫨)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34499,"operation_count":12,"complexity_ratio":2874.9166666666665,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2342,"base":2},"right_expr":{"type":"numeric_atoms","value":1472,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2103,"base":2},"right_expr":{"type":"numeric_atoms","value":4917,"base":2}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1079,"base":2}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4699,"base":2},"right_expr":{"type":"numeric_atoms","value":2094,"base":2}}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":2560,"base":2}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1793,"base":2},"right_expr":{"type":"numeric_atoms","value":1159,"base":2}}}}},"used_operators":["xlXykHWxX1","LXhwmt4mBO","dfKe02y8D2","bF6eod5Gvf","B5M0gjZbta","Cw4SuJJGHO","rXAclfmB4M","WR6HLWljOP","yS9ePUuUdn","bPywburJMS","mGnSCrte3L","Af076pWI7l"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","8w2t5hMYqp","9FxExcQeMw","rGHVDoGpnC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2342","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=1472, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4416","layer":3},{"info":"number node, value=2103","layer":4},{"info":"number node, value=4917","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=4917, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4416, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=860","layer":3},{"info":"number node, value=4699","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=2094, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4215","layer":3},{"info":"compute binary expreesion, left_input=860, right_input=4215, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=2560","layer":4},{"info":"compute unary expreesion, input=2560, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-1458877901","layer":3},{"info":"number node, value=1793","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=1159, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-1458877901, right_input=-134, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-490","layer":2},{"info":"compute unary expreesion, input=-490, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100100100110→⨶⪴≮⫘↔10111000000⫚↹⊑≮⫘↔100000110111↬≮⫘↔1001100110101)⨫⇇↔(⊤⊝≮⫘↔10000110111)↳∿⪆≮⫘↔1001001011011↢≮⫘↔100000101110⫢⨠((≮⫘↔101000000000∛≔)↼⊘⨖≮⫘↔11100000001↓≮⫘↔10010000111⩺⋐⫨)=NaN","reverse_text":"NaN=(≮⫘↔100100100110→⨶⪴≮⫘↔10111000000⫚↹⊑≮⫘↔100000110111↬≮⫘↔1001100110101)⨫⇇↔(⊤⊝≮⫘↔10000110111)↳∿⪆≮⫘↔1001001011011↢≮⫘↔100000101110⫢⨠((≮⫘↔101000000000∛≔)↼⊘⨖≮⫘↔11100000001↓≮⫘↔10010000111⩺⋐⫨)","cot":[{"info":"≮⫘↔100100100110→⨶⪴≮⫘↔10111000000=≮⫘↔-1000101000000","layer":3},{"info":"≮⫘↔100000110111↬≮⫘↔1001100110101=NaN","layer":3},{"info":"≮⫘↔-1000101000000⫚↹⊑NaN=≮⫘↔-110111111","layer":2},{"info":"⊤⊝≮⫘↔10000110111=≮⫘↔1101011100","layer":3},{"info":"≮⫘↔1001001011011↢≮⫘↔100000101110=≮⫘↔1000001110111","layer":3},{"info":"≮⫘↔1101011100↳∿⪆≮⫘↔1000001110111=NaN","layer":2},{"info":"≮⫘↔-110111111⨫⇇↔NaN=≮⫘↔-1000001111","layer":1},{"info":"≮⫘↔101000000000∛≔=≮⫘↔-1010110111101001011010111001101","layer":3},{"info":"≮⫘↔11100000001↓≮⫘↔10010000111=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔-1010110111101001011010111001101↼⊘⨖≮⫘↔-10000110=≮⫘↔-111101010","layer":2},{"info":"≮⫘↔-111101010⩺⋐⫨=≮⫘↔0","layer":1},{"info":"≮⫘↔-1000001111⫢⨠≮⫘↔0=NaN","layer":0}]}
{"id":105,"expression_no_base_symbol":"(⇤←$1787$⇌⫙⪟$1793$)∓⋝(≔($2302$⪊≅))⪮%⊝((⩎⋉($1668$⊱⇼⊻$1208$))≀⫉(⩷⨜⫀$2059$)⩇∃⫛$7097$∥⊢⊲$1606$)","expression":"(⇤←≮⫘↔11011111011⇌⫙⪟≮⫘↔11100000001)∓⋝(≔(≮⫘↔100011111110⪊≅))⪮%⊝((⩎⋉(≮⫘↔11010000100⊱⇼⊻≮⫘↔10010111000))≀⫉(⩷⨜⫀≮⫘↔100000001011)⩇∃⫛≮⫘↔1101110111001∥⊢⊲≮⫘↔11001000110)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":384,"operation_count":12,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1787,"base":2},"right_expr":{"type":"numeric_atoms","value":1793,"base":2}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":2302,"base":2}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1668,"base":2},"right_expr":{"type":"numeric_atoms","value":1208,"base":2}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2059,"base":2}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":7097,"base":2},"right_expr":{"type":"numeric_atoms","value":1606,"base":2}}}}},"used_operators":["IWmyXbctLI","PoHhknlbAi","jfAgQ2OQeM","AFVx7xoS7T","8FLs4eVsLt","bjFbhXSADs","oZj3VtZNQx","FlXk3pOYe8","FyVja0WsTP","1aApVXNlOP","CDi0ktkjQ4","v1UQAVDJRr"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","ruOEQAzv1W","nhYeJWJD5X","EBcxylXtPf","rGHVDoGpnC"],"result":"≮⫘↔111000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1793, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=801","layer":2},{"info":"number node, value=2302","layer":4},{"info":"compute unary expreesion, input=2302, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=1294","layer":2},{"info":"compute binary expreesion, left_input=801, right_input=1294, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1668","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=1208, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=3714","layer":2},{"info":"number node, value=2059","layer":4},{"info":"compute unary expreesion, input=2059, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1786","layer":3},{"info":"number node, value=7097","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=7097, right_input=1606, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1786, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3714, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=2822, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=450","layer":0}],"base":2,"result_base":2,"text":"(⇤←≮⫘↔11011111011⇌⫙⪟≮⫘↔11100000001)∓⋝(≔(≮⫘↔100011111110⪊≅))⪮%⊝((⩎⋉(≮⫘↔11010000100⊱⇼⊻≮⫘↔10010111000))≀⫉(⩷⨜⫀≮⫘↔100000001011)⩇∃⫛≮⫘↔1101110111001∥⊢⊲≮⫘↔11001000110)=≮⫘↔111000010","reverse_text":"≮⫘↔111000010=(⇤←≮⫘↔11011111011⇌⫙⪟≮⫘↔11100000001)∓⋝(≔(≮⫘↔100011111110⪊≅))⪮%⊝((⩎⋉(≮⫘↔11010000100⊱⇼⊻≮⫘↔10010111000))≀⫉(⩷⨜⫀≮⫘↔100000001011)⩇∃⫛≮⫘↔1101110111001∥⊢⊲≮⫘↔11001000110)","cot":[{"info":"≮⫘↔11011111011⇌⫙⪟≮⫘↔11100000001=≮⫘↔1110001","layer":3},{"info":"⇤←≮⫘↔1110001=≮⫘↔1100100001","layer":2},{"info":"≮⫘↔100011111110⪊≅=≮⫘↔0","layer":3},{"info":"≔≮⫘↔0=≮⫘↔10100001110","layer":2},{"info":"≮⫘↔1100100001∓⋝≮⫘↔10100001110=≮⫘↔1000011","layer":1},{"info":"≮⫘↔11010000100⊱⇼⊻≮⫘↔10010111000=≮⫘↔110110010","layer":3},{"info":"⩎⋉≮⫘↔110110010=≮⫘↔111010000010","layer":2},{"info":"⩷⨜⫀≮⫘↔100000001011=≮⫘↔-11011111010","layer":3},{"info":"≮⫘↔1101110111001∥⊢⊲≮⫘↔11001000110=NaN","layer":3},{"info":"≮⫘↔-11011111010⩇∃⫛NaN=NaN","layer":2},{"info":"≮⫘↔111010000010≀⫉NaN=≮⫘↔101100000110","layer":1},{"info":"≮⫘↔1000011⪮%⊝≮⫘↔101100000110=≮⫘↔111000010","layer":0}]}
{"id":106,"expression_no_base_symbol":"((∡$5841$)⊧↖)⪟⇏((⊆⋠$2113$)⫦⪉($8654$⩨$5981$))⋥≓≎(⫯($3984$⩍⋽⫝̸$1681$))⪃⊛⇣((⪭⩑⪱$3496$)⨑≵⋬$2264$⪚$2728$)","expression":"((∡≮⫘↔1011011010001)⊧↖)⪟⇏((⊆⋠≮⫘↔100001000001)⫦⪉(≮⫘↔10000111001110⩨≮⫘↔1011101011101))⋥≓≎(⫯(≮⫘↔111110010000⩍⋽⫝̸≮⫘↔11010010001))⪃⊛⇣((⪭⩑⪱≮⫘↔110110101000)⨑≵⋬≮⫘↔100011011000⪚≮⫘↔101010101000)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":101487,"operation_count":13,"complexity_ratio":7806.692307692308,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":5841,"base":2}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2113,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8654,"base":2},"right_expr":{"type":"numeric_atoms","value":5981,"base":2}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3984,"base":2},"right_expr":{"type":"numeric_atoms","value":1681,"base":2}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3496,"base":2}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2264,"base":2},"right_expr":{"type":"numeric_atoms","value":2728,"base":2}}}}},"used_operators":["Qy55tPpLXF","GODebY97qR","EKiFHuOFxO","pRsWfj4Fpp","wscyQdcy20","EBhcHTkKd8","2DlMacCsIx","rrgAzCduG9","H6BK1Evt7c","BiWNJpBvwn","XnXgA4xnOs","SIgE0bArFf","HrjLwUk87U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","Ph9nP6C5qx","xUOZtlo3hN","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"≮⫘↔100111000101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5841","layer":4},{"info":"compute unary expreesion, input=5841, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5841","layer":3},{"info":"compute unary expreesion, input=-5841, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=204665768","layer":2},{"info":"number node, value=2113","layer":4},{"info":"compute unary expreesion, input=2113, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=8654","layer":4},{"info":"number node, value=5981","layer":4},{"info":"compute binary expreesion, left_input=8654, right_input=5981, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":2},{"info":"compute binary expreesion, left_input=204665768, right_input=4900, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=3984","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=3984, right_input=1681, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=735","layer":3},{"info":"compute unary expreesion, input=735, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-16082","layer":2},{"info":"number node, value=3496","layer":4},{"info":"compute unary expreesion, input=3496, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=2264","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=2728, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1284","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=-1284, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=41617727","layer":2},{"info":"compute binary expreesion, left_input=-16082, right_input=41617727, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2501","layer":0}],"base":2,"result_base":2,"text":"((∡≮⫘↔1011011010001)⊧↖)⪟⇏((⊆⋠≮⫘↔100001000001)⫦⪉(≮⫘↔10000111001110⩨≮⫘↔1011101011101))⋥≓≎(⫯(≮⫘↔111110010000⩍⋽⫝̸≮⫘↔11010010001))⪃⊛⇣((⪭⩑⪱≮⫘↔110110101000)⨑≵⋬≮⫘↔100011011000⪚≮⫘↔101010101000)=≮⫘↔100111000101","reverse_text":"≮⫘↔100111000101=((∡≮⫘↔1011011010001)⊧↖)⪟⇏((⊆⋠≮⫘↔100001000001)⫦⪉(≮⫘↔10000111001110⩨≮⫘↔1011101011101))⋥≓≎(⫯(≮⫘↔111110010000⩍⋽⫝̸≮⫘↔11010010001))⪃⊛⇣((⪭⩑⪱≮⫘↔110110101000)⨑≵⋬≮⫘↔100011011000⪚≮⫘↔101010101000)","cot":[{"info":"∡≮⫘↔1011011010001=≮⫘↔-1011011010001","layer":3},{"info":"≮⫘↔-1011011010001⊧↖=≮⫘↔1100001100101111001110101000","layer":2},{"info":"⊆⋠≮⫘↔100001000001=≮⫘↔0","layer":3},{"info":"≮⫘↔10000111001110⩨≮⫘↔1011101011101=≮⫘↔0","layer":3},{"info":"≮⫘↔0⫦⪉≮⫘↔0=≮⫘↔1001100100100","layer":2},{"info":"≮⫘↔1100001100101111001110101000⪟⇏≮⫘↔1001100100100=≮⫘↔0","layer":1},{"info":"≮⫘↔111110010000⩍⋽⫝̸≮⫘↔11010010001=≮⫘↔1011011111","layer":3},{"info":"⫯≮⫘↔1011011111=≮⫘↔-11111011010010","layer":2},{"info":"⪭⩑⪱≮⫘↔110110101000=≮⫘↔11111101111011011110000","layer":3},{"info":"≮⫘↔100011011000⪚≮⫘↔101010101000=≮⫘↔-10100000100","layer":3},{"info":"≮⫘↔11111101111011011110000⨑≵⋬≮⫘↔-10100000100=≮⫘↔10011110110000100100111111","layer":2},{"info":"≮⫘↔-11111011010010⪃⊛⇣≮⫘↔10011110110000100100111111=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔0⋥≓≎≮⫘↔10011010010=≮⫘↔100111000101","layer":0}]}
{"id":107,"expression_no_base_symbol":"(⩪∧⨌$6368$⩧⪆$1473$)⩷∴(⨞⊢$1038$)⨑⩅≇(⊵⊁$1144$)∙∹∝($4545$⩍⋽⫝̸$1463$)↳∿⪆($3074$⋝⋈⪟$5590$)↙($5012$⨳⩥⨓$1155$)⊲⩕⊾$9225$⨐$1000$","expression":"(⩪∧⨌≮⫘↔1100011100000⩧⪆≮⫘↔10111000001)⩷∴(⨞⊢≮⫘↔10000001110)⨑⩅≇(⊵⊁≮⫘↔10001111000)∙∹∝(≮⫘↔1000111000001⩍⋽⫝̸≮⫘↔10110110111)↳∿⪆(≮⫘↔110000000010⋝⋈⪟≮⫘↔1010111010110)↙(≮⫘↔1001110010100⨳⩥⨓≮⫘↔10010000011)⊲⩕⊾≮⫘↔10010000001001⨐≮⫘↔1111101000","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2648,"operation_count":14,"complexity_ratio":189.14285714285714,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6368,"base":2},"right_expr":{"type":"numeric_atoms","value":1473,"base":2}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1038,"base":2}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1144,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4545,"base":2},"right_expr":{"type":"numeric_atoms","value":1463,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3074,"base":2},"right_expr":{"type":"numeric_atoms","value":5590,"base":2}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5012,"base":2},"right_expr":{"type":"numeric_atoms","value":1155,"base":2}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":9225,"base":2},"right_expr":{"type":"numeric_atoms","value":1000,"base":2}}}}},"used_operators":["HmxsFra2vL","9FxExcQeMw","6iOiAJX1F8","Ikt5ks8PT7","h92wMvzauj","xUOZtlo3hN","AvED76WdY7","yyfyN0ffXY","Cw4SuJJGHO","BiWNJpBvwn","2DDjHMKMc0","DmTXOeWf9t","nCS4ZIUYfx","Noe24qw2ks"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eewbuw0ToL","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6368","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=6368, right_input=1473, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1473","layer":3},{"info":"compute unary expreesion, input=-1473, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-14730","layer":2},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1212","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=5794","layer":3},{"info":"compute binary expreesion, left_input=-1212, right_input=5794, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-14730, right_input=-55, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-29382","layer":1},{"info":"number node, value=4545","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=4545, right_input=1463, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=517","layer":3},{"info":"number node, value=3074","layer":4},{"info":"number node, value=5590","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=5590, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3074","layer":3},{"info":"compute binary expreesion, left_input=517, right_input=3074, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=5012","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=5012, right_input=1155, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3857","layer":3},{"info":"number node, value=9225","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=9225, right_input=1000, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-18450","layer":3},{"info":"compute binary expreesion, left_input=-3857, right_input=-18450, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=259200","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=259200, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-29382, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⩪∧⨌≮⫘↔1100011100000⩧⪆≮⫘↔10111000001)⩷∴(⨞⊢≮⫘↔10000001110)⨑⩅≇(⊵⊁≮⫘↔10001111000)∙∹∝(≮⫘↔1000111000001⩍⋽⫝̸≮⫘↔10110110111)↳∿⪆(≮⫘↔110000000010⋝⋈⪟≮⫘↔1010111010110)↙(≮⫘↔1001110010100⨳⩥⨓≮⫘↔10010000011)⊲⩕⊾≮⫘↔10010000001001⨐≮⫘↔1111101000=≮⫘↔0","reverse_text":"≮⫘↔0=(⩪∧⨌≮⫘↔1100011100000⩧⪆≮⫘↔10111000001)⩷∴(⨞⊢≮⫘↔10000001110)⨑⩅≇(⊵⊁≮⫘↔10001111000)∙∹∝(≮⫘↔1000111000001⩍⋽⫝̸≮⫘↔10110110111)↳∿⪆(≮⫘↔110000000010⋝⋈⪟≮⫘↔1010111010110)↙(≮⫘↔1001110010100⨳⩥⨓≮⫘↔10010000011)⊲⩕⊾≮⫘↔10010000001001⨐≮⫘↔1111101000","cot":[{"info":"≮⫘↔1100011100000⩧⪆≮⫘↔10111000001=≮⫘↔-10111000001","layer":3},{"info":"⩪∧⨌≮⫘↔-10111000001=≮⫘↔-11100110001010","layer":2},{"info":"⨞⊢≮⫘↔10000001110=≮⫘↔-10010111100","layer":3},{"info":"⊵⊁≮⫘↔10001111000=≮⫘↔1011010100010","layer":3},{"info":"≮⫘↔-10010111100⨑⩅≇≮⫘↔1011010100010=≮⫘↔-110111","layer":2},{"info":"≮⫘↔-11100110001010⩷∴≮⫘↔-110111=≮⫘↔-111001011000110","layer":1},{"info":"≮⫘↔1000111000001⩍⋽⫝̸≮⫘↔10110110111=≮⫘↔1000000101","layer":3},{"info":"≮⫘↔110000000010⋝⋈⪟≮⫘↔1010111010110=≮⫘↔110000000010","layer":3},{"info":"≮⫘↔1000000101↳∿⪆≮⫘↔110000000010=NaN","layer":2},{"info":"≮⫘↔1001110010100⨳⩥⨓≮⫘↔10010000011=≮⫘↔-111100010001","layer":3},{"info":"≮⫘↔10010000001001⨐≮⫘↔1111101000=≮⫘↔-100100000010010","layer":3},{"info":"≮⫘↔-111100010001⊲⩕⊾≮⫘↔-100100000010010=≮⫘↔111111010010000000","layer":2},{"info":"NaN↙≮⫘↔111111010010000000=NaN","layer":1},{"info":"≮⫘↔-111001011000110∙∹∝NaN=≮⫘↔0","layer":0}]}
{"id":108,"expression_no_base_symbol":"(($6616$⩒⫫$2328$)⇉⇱⇎)⪶≀⋏(⇺⋃(≀↧⇸$1614$))≎⊠⪸((⇜(∨∊⋏$2227$))⇚⪠)","expression":"((≮⫘↔1100111011000⩒⫫≮⫘↔100100011000)⇉⇱⇎)⪶≀⋏(⇺⋃(≀↧⇸≮⫘↔11001001110))≎⊠⪸((⇜(∨∊⋏≮⫘↔100010110011))⇚⪠)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":322936,"operation_count":9,"complexity_ratio":35881.77777777778,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":6616,"base":2},"right_expr":{"type":"numeric_atoms","value":2328,"base":2}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1614,"base":2}}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2227,"base":2}}}}},"used_operators":["bJkvcejdHO","zR4jO40bMj","MRPaB8lBjK","KFSx94NKJn","E5v5B3UAjG","ljTHtUsqzn","Loh9y4A90B","lFBm8KRb8F","R5aXW34M0v"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","XPYlsWDdGa","23Mk6UjR3U","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6616","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=6616, right_input=2328, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=6314","layer":3},{"info":"compute unary expreesion, input=6314, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-6096","layer":2},{"info":"number node, value=1614","layer":4},{"info":"compute unary expreesion, input=1614, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3228","layer":3},{"info":"compute unary expreesion, input=3228, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6096, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=2227","layer":4},{"info":"compute unary expreesion, input=2227, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=40247","layer":3},{"info":"compute unary expreesion, input=40247, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-322384","layer":2},{"info":"compute unary expreesion, input=-322384, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100111011000⩒⫫≮⫘↔100100011000)⇉⇱⇎)⪶≀⋏(⇺⋃(≀↧⇸≮⫘↔11001001110))≎⊠⪸((⇜(∨∊⋏≮⫘↔100010110011))⇚⪠)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔1100111011000⩒⫫≮⫘↔100100011000)⇉⇱⇎)⪶≀⋏(⇺⋃(≀↧⇸≮⫘↔11001001110))≎⊠⪸((⇜(∨∊⋏≮⫘↔100010110011))⇚⪠)","cot":[{"info":"≮⫘↔1100111011000⩒⫫≮⫘↔100100011000=≮⫘↔1100010101010","layer":3},{"info":"≮⫘↔1100010101010⇉⇱⇎=≮⫘↔-1011111010000","layer":2},{"info":"≀↧⇸≮⫘↔11001001110=≮⫘↔110010011100","layer":3},{"info":"⇺⋃≮⫘↔110010011100=NaN","layer":2},{"info":"≮⫘↔-1011111010000⪶≀⋏NaN=NaN","layer":1},{"info":"∨∊⋏≮⫘↔100010110011=≮⫘↔1001110100110111","layer":3},{"info":"⇜≮⫘↔1001110100110111=≮⫘↔-1001110101101010000","layer":2},{"info":"≮⫘↔-1001110101101010000⇚⪠=-Inf","layer":1},{"info":"NaN≎⊠⪸-Inf=≮⫘↔1000011","layer":0}]}
{"id":109,"expression_no_base_symbol":"(($8035$⨓$2616$)+⪬∐($1216$⨑≵⋬$2693$))⇂≾⫗(($1003$⨉)↯⫤)∕⩚(⊆⋠(($1629$⨱∎)⊝⪿⪼($1437$≝⊰⇂)))","expression":"((≮⫘↔1111101100011⨓≮⫘↔101000111000)+⪬∐(≮⫘↔10011000000⨑≵⋬≮⫘↔101010000101))⇂≾⫗((≮⫘↔1111101011⨉)↯⫤)∕⩚(⊆⋠((≮⫘↔11001011101⨱∎)⊝⪿⪼(≮⫘↔10110011101≝⊰⇂)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5226,"operation_count":11,"complexity_ratio":475.09090909090907,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8035,"base":2},"right_expr":{"type":"numeric_atoms","value":2616,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1216,"base":2},"right_expr":{"type":"numeric_atoms","value":2693,"base":2}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1003,"base":2}}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":1629,"base":2}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1437,"base":2}}}}},"used_operators":["z9ffQ9n5Zr","aBQ6xLxuTc","2GS7woTJqF","3ViojmjbAp","XnXgA4xnOs","VwlE7vj6HS","aMUSaJuDRU","EBhcHTkKd8","3Oe9XWJUTD","MmTdOpaElr","htSmYCowi5"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","g55IO6H4Gj","D4vGDi5EA2","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tifHPKVTfV","9FxExcQeMw","DlLNRPXxWL"],"result":"≮⫘↔-111100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8035","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=8035, right_input=2616, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2619","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=2693, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-11392","layer":3},{"info":"compute binary expreesion, left_input=-2619, right_input=-11392, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=7857","layer":2},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4334","layer":3},{"info":"compute unary expreesion, input=4334, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=7857, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=1629","layer":4},{"info":"compute unary expreesion, input=1629, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=1437","layer":4},{"info":"compute unary expreesion, input=1437, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9844","layer":2},{"info":"compute unary expreesion, input=9844, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=0, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111101100011⨓≮⫘↔101000111000)+⪬∐(≮⫘↔10011000000⨑≵⋬≮⫘↔101010000101))⇂≾⫗((≮⫘↔1111101011⨉)↯⫤)∕⩚(⊆⋠((≮⫘↔11001011101⨱∎)⊝⪿⪼(≮⫘↔10110011101≝⊰⇂)))=≮⫘↔-111100111","reverse_text":"≮⫘↔-111100111=((≮⫘↔1111101100011⨓≮⫘↔101000111000)+⪬∐(≮⫘↔10011000000⨑≵⋬≮⫘↔101010000101))⇂≾⫗((≮⫘↔1111101011⨉)↯⫤)∕⩚(⊆⋠((≮⫘↔11001011101⨱∎)⊝⪿⪼(≮⫘↔10110011101≝⊰⇂)))","cot":[{"info":"≮⫘↔1111101100011⨓≮⫘↔101000111000=≮⫘↔-101000111011","layer":3},{"info":"≮⫘↔10011000000⨑≵⋬≮⫘↔101010000101=≮⫘↔-10110010000000","layer":3},{"info":"≮⫘↔-101000111011+⪬∐≮⫘↔-10110010000000=≮⫘↔1111010110001","layer":2},{"info":"≮⫘↔1111101011⨉=≮⫘↔1000011101110","layer":3},{"info":"≮⫘↔1000011101110↯⫤=≮⫘↔0","layer":2},{"info":"≮⫘↔1111010110001⇂≾⫗≮⫘↔0=≮⫘↔-1010011110","layer":1},{"info":"≮⫘↔11001011101⨱∎=≮⫘↔0","layer":3},{"info":"≮⫘↔10110011101≝⊰⇂=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊝⪿⪼≮⫘↔0=≮⫘↔10011001110100","layer":2},{"info":"⊆⋠≮⫘↔10011001110100=≮⫘↔0","layer":1},{"info":"≮⫘↔-1010011110∕⩚≮⫘↔0=≮⫘↔-111100111","layer":0}]}
{"id":110,"expression_no_base_symbol":"(≋($1336$↬$8269$)⩦(⨞⊢$1089$))↱($2042$⪝$1896$⪔⊥($4155$⫲≸⪮$2168$)⫌⩉⩟(⊙↵-(≱⇩⩕$1311$)))","expression":"(≋(≮⫘↔10100111000↬≮⫘↔10000001001101)⩦(⨞⊢≮⫘↔10001000001))↱(≮⫘↔11111111010⪝≮⫘↔11101101000⪔⊥(≮⫘↔1000000111011⫲≸⪮≮⫘↔100001111000)⫌⩉⩟(⊙↵-(≱⇩⩕≮⫘↔10100011111)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6186,"operation_count":11,"complexity_ratio":562.3636363636364,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1336,"base":2},"right_expr":{"type":"numeric_atoms","value":8269,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1089,"base":2}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2042,"base":2},"right_expr":{"type":"numeric_atoms","value":1896,"base":2}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4155,"base":2},"right_expr":{"type":"numeric_atoms","value":2168,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1311,"base":2}}}}},"used_operators":["SR5kFfdi6N","61wBmkZwlr","0kmYd0q39Y","B5M0gjZbta","xUOZtlo3hN","XIIwhv8d0m","HJ9erzHUuu","wicAB68Tmb","P3lXMJvFrc","oWn0xqSxBt","3DZMoQKiUl"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","7j4O788W3g","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"≮⫘↔11110111111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":4},{"info":"number node, value=8269","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=8269, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1263","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1263, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":1},{"info":"number node, value=2042","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1896, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-983","layer":3},{"info":"number node, value=4155","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=2168, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4155","layer":3},{"info":"compute binary expreesion, left_input=-983, right_input=4155, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-12441","layer":2},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-12441, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15870","layer":0}],"base":2,"result_base":2,"text":"(≋(≮⫘↔10100111000↬≮⫘↔10000001001101)⩦(⨞⊢≮⫘↔10001000001))↱(≮⫘↔11111111010⪝≮⫘↔11101101000⪔⊥(≮⫘↔1000000111011⫲≸⪮≮⫘↔100001111000)⫌⩉⩟(⊙↵-(≱⇩⩕≮⫘↔10100011111)))=≮⫘↔11110111111110","reverse_text":"≮⫘↔11110111111110=(≋(≮⫘↔10100111000↬≮⫘↔10000001001101)⩦(⨞⊢≮⫘↔10001000001))↱(≮⫘↔11111111010⪝≮⫘↔11101101000⪔⊥(≮⫘↔1000000111011⫲≸⪮≮⫘↔100001111000)⫌⩉⩟(⊙↵-(≱⇩⩕≮⫘↔10100011111)))","cot":[{"info":"≮⫘↔10100111000↬≮⫘↔10000001001101=NaN","layer":3},{"info":"⨞⊢≮⫘↔10001000001=≮⫘↔-10011101111","layer":3},{"info":"NaN⩦≮⫘↔-10011101111=NaN","layer":2},{"info":"≋NaN=NaN","layer":1},{"info":"≮⫘↔11111111010⪝≮⫘↔11101101000=≮⫘↔-1111010111","layer":3},{"info":"≮⫘↔1000000111011⫲≸⪮≮⫘↔100001111000=≮⫘↔1000000111011","layer":3},{"info":"≮⫘↔-1111010111⪔⊥≮⫘↔1000000111011=≮⫘↔-11000010011001","layer":2},{"info":"≱⇩⩕≮⫘↔10100011111=≮⫘↔1110001","layer":3},{"info":"⊙↵-≮⫘↔1110001=≮⫘↔0","layer":2},{"info":"≮⫘↔-11000010011001⫌⩉⩟≮⫘↔0=≮⫘↔-110010","layer":1},{"info":"NaN↱≮⫘↔-110010=≮⫘↔11110111111110","layer":0}]}
{"id":111,"expression_no_base_symbol":"($5293$∛$1037$⫔⩽⩺$2174$⇄$1307$⊉≛↸$1437$≌$2116$≃($1425$⫳≱↱$3699$))⨚⇆(($6285$⨟⋌⩍$1509$↙$5311$⪇≇⋚$2911$)⫽⇹≛)","expression":"(≮⫘↔1010010101101∛≮⫘↔10000001101⫔⩽⩺≮⫘↔100001111110⇄≮⫘↔10100011011⊉≛↸≮⫘↔10110011101≌≮⫘↔100001000100≃(≮⫘↔10110010001⫳≱↱≮⫘↔111001110011))⨚⇆((≮⫘↔1100010001101⨟⋌⩍≮⫘↔10111100101↙≮⫘↔1010010111111⪇≇⋚≮⫘↔101101011111)⫽⇹≛)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3772,"operation_count":12,"complexity_ratio":314.3333333333333,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5293,"base":2},"right_expr":{"type":"numeric_atoms","value":1037,"base":2}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2174,"base":2},"right_expr":{"type":"numeric_atoms","value":1307,"base":2}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1437,"base":2},"right_expr":{"type":"numeric_atoms","value":2116,"base":2}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1425,"base":2},"right_expr":{"type":"numeric_atoms","value":3699,"base":2}}}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6285,"base":2},"right_expr":{"type":"numeric_atoms","value":1509,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5311,"base":2},"right_expr":{"type":"numeric_atoms","value":2911,"base":2}}}}},"used_operators":["lwHaAYXP2r","DZ8iAZOCBD","i9eR4S00cU","w2537kitQq","3EYGwJThht","YbVcJGFEVW","lyWz822IDG","ZvLB05nZmT","NNaDxxp6OQ","yyfyN0ffXY","rGHVDoGpnC","3sJ7IOPOlU"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5293","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=5293, right_input=1037, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2174","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=2174, right_input=1307, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1437","layer":4},{"info":"number node, value=2116","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=2116, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=3699, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=776","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=776, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=6285","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=6285, right_input=1509, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5311","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=5311, right_input=2911, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010010101101∛≮⫘↔10000001101⫔⩽⩺≮⫘↔100001111110⇄≮⫘↔10100011011⊉≛↸≮⫘↔10110011101≌≮⫘↔100001000100≃(≮⫘↔10110010001⫳≱↱≮⫘↔111001110011))⨚⇆((≮⫘↔1100010001101⨟⋌⩍≮⫘↔10111100101↙≮⫘↔1010010111111⪇≇⋚≮⫘↔101101011111)⫽⇹≛)=NaN","reverse_text":"NaN=(≮⫘↔1010010101101∛≮⫘↔10000001101⫔⩽⩺≮⫘↔100001111110⇄≮⫘↔10100011011⊉≛↸≮⫘↔10110011101≌≮⫘↔100001000100≃(≮⫘↔10110010001⫳≱↱≮⫘↔111001110011))⨚⇆((≮⫘↔1100010001101⨟⋌⩍≮⫘↔10111100101↙≮⫘↔1010010111111⪇≇⋚≮⫘↔101101011111)⫽⇹≛)","cot":[{"info":"≮⫘↔1010010101101∛≮⫘↔10000001101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔100001111110⇄≮⫘↔10100011011=≮⫘↔0","layer":3},{"info":"≮⫘↔1000011⫔⩽⩺≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10110011101≌≮⫘↔100001000100=NaN","layer":3},{"info":"≮⫘↔10110010001⫳≱↱≮⫘↔111001110011=≮⫘↔-11001100","layer":3},{"info":"NaN≃≮⫘↔-11001100=≮⫘↔1100001000","layer":2},{"info":"NaN⊉≛↸≮⫘↔1100001000=NaN","layer":1},{"info":"≮⫘↔1100010001101⨟⋌⩍≮⫘↔10111100101=NaN","layer":3},{"info":"≮⫘↔1010010111111⪇≇⋚≮⫘↔101101011111=≮⫘↔0","layer":3},{"info":"NaN↙≮⫘↔0=NaN","layer":2},{"info":"NaN⫽⇹≛=NaN","layer":1},{"info":"NaN⨚⇆NaN=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"(⊢≑≆(($2589$⊔$2767$)⊴(⇖$4397$)))∀⊥⇻","expression":"(⊢≑≆((≮⫘↔101000011101⊔≮⫘↔101011001111)⊴(⇖≮⫘↔1000100101101)))∀⊥⇻","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":22780,"operation_count":5,"complexity_ratio":4556.0,"tree":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2589,"base":2},"right_expr":{"type":"numeric_atoms","value":2767,"base":2}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":4397,"base":2}}}}},"used_operators":["k4iM1060OG","27wFxooxGf","Nsiff2A1zJ","E4l6HwMY31","tfWHHpNKUN"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":4},{"info":"number node, value=2767","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=2767, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=16613","layer":3},{"info":"number node, value=4397","layer":4},{"info":"compute unary expreesion, input=4397, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=16613, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊢≑≆((≮⫘↔101000011101⊔≮⫘↔101011001111)⊴(⇖≮⫘↔1000100101101)))∀⊥⇻=NaN","reverse_text":"NaN=(⊢≑≆((≮⫘↔101000011101⊔≮⫘↔101011001111)⊴(⇖≮⫘↔1000100101101)))∀⊥⇻","cot":[{"info":"≮⫘↔101000011101⊔≮⫘↔101011001111=≮⫘↔100000011100101","layer":3},{"info":"⇖≮⫘↔1000100101101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔100000011100101⊴≮⫘↔10100000=NaN","layer":2},{"info":"⊢≑≆NaN=NaN","layer":1},{"info":"NaN∀⊥⇻=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"(≪($1168$*$5554$))⨔⇊($6439$⫢⨠$3154$⇄$2685$≧⫂∧$8004$)⋓(≋((≛$1067$)⫸⊐$1706$∑⇟⊟$5587$))","expression":"(≪(≮⫘↔10010010000*≮⫘↔1010110110010))⨔⇊(≮⫘↔1100100100111⫢⨠≮⫘↔110001010010⇄≮⫘↔101001111101≧⫂∧≮⫘↔1111101000100)⋓(≋((≛≮⫘↔10000101011)⫸⊐≮⫘↔11010101010∑⇟⊟≮⫘↔1010111010011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1344,"operation_count":11,"complexity_ratio":122.18181818181819,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1168,"base":2},"right_expr":{"type":"numeric_atoms","value":5554,"base":2}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":6439,"base":2},"right_expr":{"type":"numeric_atoms","value":3154,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2685,"base":2},"right_expr":{"type":"numeric_atoms","value":8004,"base":2}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1067,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1706,"base":2},"right_expr":{"type":"numeric_atoms","value":5587,"base":2}}}}},"used_operators":["T2fj7uvVaJ","JclMnS0uGI","Qtd6bqUJcN","9HNa5Wba9A","3EYGwJThht","xlXykHWxX1","Ph9nP6C5qx","61wBmkZwlr","mqXw5SEYmG","W7eaUhjymW","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=5554","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=5554, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6487072","layer":3},{"info":"compute unary expreesion, input=6487072, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"number node, value=6439","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=6439, right_input=3154, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2685","layer":4},{"info":"number node, value=8004","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=8004, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7531","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=7531, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-7047","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=-7047, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=1706","layer":4},{"info":"number node, value=5587","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=5587, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=474","layer":2},{"info":"compute unary expreesion, input=474, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=474","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=474, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≪(≮⫘↔10010010000*≮⫘↔1010110110010))⨔⇊(≮⫘↔1100100100111⫢⨠≮⫘↔110001010010⇄≮⫘↔101001111101≧⫂∧≮⫘↔1111101000100)⋓(≋((≛≮⫘↔10000101011)⫸⊐≮⫘↔11010101010∑⇟⊟≮⫘↔1010111010011))=≮⫘↔0","reverse_text":"≮⫘↔0=(≪(≮⫘↔10010010000*≮⫘↔1010110110010))⨔⇊(≮⫘↔1100100100111⫢⨠≮⫘↔110001010010⇄≮⫘↔101001111101≧⫂∧≮⫘↔1111101000100)⋓(≋((≛≮⫘↔10000101011)⫸⊐≮⫘↔11010101010∑⇟⊟≮⫘↔1010111010011))","cot":[{"info":"≮⫘↔10010010000*≮⫘↔1010110110010=≮⫘↔11000101111110000100000","layer":3},{"info":"≪≮⫘↔11000101111110000100000=≮⫘↔1110010001","layer":2},{"info":"≮⫘↔1100100100111⫢⨠≮⫘↔110001010010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔101001111101≧⫂∧≮⫘↔1111101000100=≮⫘↔1110101101011","layer":3},{"info":"≮⫘↔10100000⇄≮⫘↔1110101101011=≮⫘↔-1101110000111","layer":2},{"info":"≮⫘↔1110010001⨔⇊≮⫘↔-1101110000111=≮⫘↔1000011","layer":1},{"info":"≛≮⫘↔10000101011=≮⫘↔-1010","layer":3},{"info":"≮⫘↔11010101010∑⇟⊟≮⫘↔1010111010011=NaN","layer":3},{"info":"≮⫘↔-1010⫸⊐NaN=≮⫘↔111011010","layer":2},{"info":"≋≮⫘↔111011010=≮⫘↔111011010","layer":1},{"info":"≮⫘↔1000011⋓≮⫘↔111011010=≮⫘↔0","layer":0}]}
{"id":114,"expression_no_base_symbol":"(((⇠$1560$)≬⇓(⋠∜$4785$))⊵↤)/($1160$⇴∐$1055$)≨($1292$⩌⋺$3407$)≓∲($1810$↓$1893$⨉)","expression":"(((⇠≮⫘↔11000011000)≬⇓(⋠∜≮⫘↔1001010110001))⊵↤)/(≮⫘↔10010001000⇴∐≮⫘↔10000011111)≨(≮⫘↔10100001100⩌⋺≮⫘↔110101001111)≓∲(≮⫘↔11100010010↓≮⫘↔11101100101⨉)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31255,"operation_count":11,"complexity_ratio":2841.3636363636365,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1560,"base":2}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4785,"base":2}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1160,"base":2},"right_expr":{"type":"numeric_atoms","value":1055,"base":2}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1292,"base":2},"right_expr":{"type":"numeric_atoms","value":3407,"base":2}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1810,"base":2},"right_expr":{"type":"numeric_atoms","value":1893,"base":2}}}}},"used_operators":["XhwjNDsVaA","7IPrd9c3lf","jWTQ2TZYIH","18saOjeKKm","ZJpFhNJr3x","s1XTVnmDOJ","0KMCeP1Jsh","HnzytWxmAO","g7Hmc5v1ko","aMUSaJuDRU","Af076pWI7l"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1318","layer":3},{"info":"number node, value=4785","layer":4},{"info":"compute unary expreesion, input=4785, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=21424","layer":3},{"info":"compute binary expreesion, left_input=-1318, right_input=21424, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=17524550","layer":2},{"info":"compute unary expreesion, input=17524550, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":1},{"info":"number node, value=1160","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=1055, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1292","layer":4},{"info":"number node, value=3407","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=3407, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4820","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4820, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=1810","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=1893, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2060","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2060, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⇠≮⫘↔11000011000)≬⇓(⋠∜≮⫘↔1001010110001))⊵↤)/(≮⫘↔10010001000⇴∐≮⫘↔10000011111)≨(≮⫘↔10100001100⩌⋺≮⫘↔110101001111)≓∲(≮⫘↔11100010010↓≮⫘↔11101100101⨉)=NaN","reverse_text":"NaN=(((⇠≮⫘↔11000011000)≬⇓(⋠∜≮⫘↔1001010110001))⊵↤)/(≮⫘↔10010001000⇴∐≮⫘↔10000011111)≨(≮⫘↔10100001100⩌⋺≮⫘↔110101001111)≓∲(≮⫘↔11100010010↓≮⫘↔11101100101⨉)","cot":[{"info":"⇠≮⫘↔11000011000=≮⫘↔-10100100110","layer":3},{"info":"⋠∜≮⫘↔1001010110001=≮⫘↔101001110110000","layer":3},{"info":"≮⫘↔-10100100110≬⇓≮⫘↔101001110110000=≮⫘↔1000010110110011101000110","layer":2},{"info":"≮⫘↔1000010110110011101000110⊵↤=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10010001000⇴∐≮⫘↔10000011111=NaN","layer":3},{"info":"≮⫘↔10100001100⩌⋺≮⫘↔110101001111=≮⫘↔-1001011010100","layer":3},{"info":"NaN≨≮⫘↔-1001011010100=NaN","layer":2},{"info":"≮⫘↔11100010010↓≮⫘↔11101100101=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔-10000110⨉=≮⫘↔100000001100","layer":2},{"info":"NaN≓∲≮⫘↔100000001100=NaN","layer":1},{"info":"≮⫘↔1000011/NaN=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"(⨝⨆(⊲⪭$7339$)⪛⫼(⇙⪊$2064$))⊾⪯⋞($2443$⩷∴$2008$⇴∐($1894$⪕$3230$))⩼⇪↪((∜⨇$4436$)⊨$2717$≁↽≥$4261$)","expression":"(⨝⨆(⊲⪭≮⫘↔1110010101011)⪛⫼(⇙⪊≮⫘↔100000010000))⊾⪯⋞(≮⫘↔100110001011⩷∴≮⫘↔11111011000⇴∐(≮⫘↔11101100110⪕≮⫘↔110010011110))⩼⇪↪((∜⨇≮⫘↔1000101010100)⊨≮⫘↔101010011101≁↽≥≮⫘↔1000010100101)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":429,"operation_count":12,"complexity_ratio":35.75,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":7339,"base":2}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":2064,"base":2}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2443,"base":2},"right_expr":{"type":"numeric_atoms","value":2008,"base":2}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1894,"base":2},"right_expr":{"type":"numeric_atoms","value":3230,"base":2}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":4436,"base":2}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2717,"base":2},"right_expr":{"type":"numeric_atoms","value":4261,"base":2}}}}},"used_operators":["HK0tfVPux8","bQ67fsrMVf","hyuBjUqXlG","k7HXdKtiEU","pB6Fcnrjim","ocnLzx9CaJ","HnzytWxmAO","9FxExcQeMw","umQnsF7QlU","vg4gO5BX6G","uFPyJr306J","ncHt1X6cMc"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tifHPKVTfV","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","i8ToyICDmI","xUOZtlo3hN","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7339","layer":4},{"info":"compute unary expreesion, input=7339, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-7513","layer":3},{"info":"number node, value=2064","layer":4},{"info":"compute unary expreesion, input=2064, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7513, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=759","layer":1},{"info":"number node, value=2443","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=2008, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=838","layer":3},{"info":"number node, value=1894","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=3230, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1459","layer":3},{"info":"compute binary expreesion, left_input=838, right_input=1459, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=4436","layer":4},{"info":"compute unary expreesion, input=4436, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=2717","layer":4},{"info":"number node, value=4261","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=4261, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=50687","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=50687, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=759, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨝⨆(⊲⪭≮⫘↔1110010101011)⪛⫼(⇙⪊≮⫘↔100000010000))⊾⪯⋞(≮⫘↔100110001011⩷∴≮⫘↔11111011000⇴∐(≮⫘↔11101100110⪕≮⫘↔110010011110))⩼⇪↪((∜⨇≮⫘↔1000101010100)⊨≮⫘↔101010011101≁↽≥≮⫘↔1000010100101)=NaN","reverse_text":"NaN=(⨝⨆(⊲⪭≮⫘↔1110010101011)⪛⫼(⇙⪊≮⫘↔100000010000))⊾⪯⋞(≮⫘↔100110001011⩷∴≮⫘↔11111011000⇴∐(≮⫘↔11101100110⪕≮⫘↔110010011110))⩼⇪↪((∜⨇≮⫘↔1000101010100)⊨≮⫘↔101010011101≁↽≥≮⫘↔1000010100101)","cot":[{"info":"⊲⪭≮⫘↔1110010101011=≮⫘↔-1110101011001","layer":3},{"info":"⇙⪊≮⫘↔100000010000=≮⫘↔0","layer":3},{"info":"≮⫘↔-1110101011001⪛⫼≮⫘↔0=≮⫘↔1111001000","layer":2},{"info":"⨝⨆≮⫘↔1111001000=≮⫘↔1011110111","layer":1},{"info":"≮⫘↔100110001011⩷∴≮⫘↔11111011000=≮⫘↔1101000110","layer":3},{"info":"≮⫘↔11101100110⪕≮⫘↔110010011110=≮⫘↔10110110011","layer":3},{"info":"≮⫘↔1101000110⇴∐≮⫘↔10110110011=NaN","layer":2},{"info":"∜⨇≮⫘↔1000101010100=NaN","layer":3},{"info":"≮⫘↔101010011101≁↽≥≮⫘↔1000010100101=≮⫘↔1100010111111111","layer":3},{"info":"NaN⊨≮⫘↔1100010111111111=NaN","layer":2},{"info":"NaN⩼⇪↪NaN=NaN","layer":1},{"info":"≮⫘↔1011110111⊾⪯⋞NaN=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"(($1394$⇼⇔∾$1110$)∼($5159$*$5431$))⫞⩸⩒($4496$∺≝⩲$5619$⋥⋵⩄($1011$⫢⨠$4798$))⋥≓≎(($2605$⪔$4503$)⩦(⩩$2507$)⫳≱↱$3957$∥⊢⊲$4378$⫸⇳(∟⋨$1974$))","expression":"((≮⫘↔10101110010⇼⇔∾≮⫘↔10001010110)∼(≮⫘↔1010000100111*≮⫘↔1010100110111))⫞⩸⩒(≮⫘↔1000110010000∺≝⩲≮⫘↔1010111110011⋥⋵⩄(≮⫘↔1111110011⫢⨠≮⫘↔1001010111110))⋥≓≎((≮⫘↔101000101101⪔≮⫘↔1000110010111)⩦(⩩≮⫘↔100111001011)⫳≱↱≮⫘↔111101110101∥⊢⊲≮⫘↔1000100011010⫸⇳(∟⋨≮⫘↔11110110110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15366,"operation_count":15,"complexity_ratio":1024.4,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1394,"base":2},"right_expr":{"type":"numeric_atoms","value":1110,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5159,"base":2},"right_expr":{"type":"numeric_atoms","value":5431,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4496,"base":2},"right_expr":{"type":"numeric_atoms","value":5619,"base":2}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1011,"base":2},"right_expr":{"type":"numeric_atoms","value":4798,"base":2}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2605,"base":2},"right_expr":{"type":"numeric_atoms","value":4503,"base":2}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2507,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3957,"base":2},"right_expr":{"type":"numeric_atoms","value":4378,"base":2}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1974,"base":2}}}}},"used_operators":["Qy55tPpLXF","XGcMNugi78","DyGG3AbaNP","tifHPKVTfV","9HNa5Wba9A","7t3wd0Fuz7","KPf6cnQVty","xlXykHWxX1","ZvLB05nZmT","0kmYd0q39Y","GjBEYRfMaF","kMhfGuqI2H","gx7XJ7hdpj","v1UQAVDJRr","ctOc4cKSDt"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","EBcxylXtPf","rGHVDoGpnC","eLAdDNolq6","tmPS8pqC7x"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1394","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1110, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-284","layer":3},{"info":"number node, value=5159","layer":4},{"info":"number node, value=5431","layer":4},{"info":"compute binary expreesion, left_input=5159, right_input=5431, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=28018529","layer":3},{"info":"compute binary expreesion, left_input=-284, right_input=28018529, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=4496","layer":4},{"info":"number node, value=5619","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=5619, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=4798","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=4798, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"number node, value=2605","layer":4},{"info":"number node, value=4503","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=4503, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2507","layer":4},{"info":"compute unary expreesion, input=2507, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=900","layer":2},{"info":"number node, value=3957","layer":4},{"info":"number node, value=4378","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=4378, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1490","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1490, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=900, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101110010⇼⇔∾≮⫘↔10001010110)∼(≮⫘↔1010000100111*≮⫘↔1010100110111))⫞⩸⩒(≮⫘↔1000110010000∺≝⩲≮⫘↔1010111110011⋥⋵⩄(≮⫘↔1111110011⫢⨠≮⫘↔1001010111110))⋥≓≎((≮⫘↔101000101101⪔≮⫘↔1000110010111)⩦(⩩≮⫘↔100111001011)⫳≱↱≮⫘↔111101110101∥⊢⊲≮⫘↔1000100011010⫸⇳(∟⋨≮⫘↔11110110110))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔10101110010⇼⇔∾≮⫘↔10001010110)∼(≮⫘↔1010000100111*≮⫘↔1010100110111))⫞⩸⩒(≮⫘↔1000110010000∺≝⩲≮⫘↔1010111110011⋥⋵⩄(≮⫘↔1111110011⫢⨠≮⫘↔1001010111110))⋥≓≎((≮⫘↔101000101101⪔≮⫘↔1000110010111)⩦(⩩≮⫘↔100111001011)⫳≱↱≮⫘↔111101110101∥⊢⊲≮⫘↔1000100011010⫸⇳(∟⋨≮⫘↔11110110110))","cot":[{"info":"≮⫘↔10101110010⇼⇔∾≮⫘↔10001010110=≮⫘↔-100011100","layer":3},{"info":"≮⫘↔1010000100111*≮⫘↔1010100110111=≮⫘↔1101010111000011101100001","layer":3},{"info":"≮⫘↔-100011100∼≮⫘↔1101010111000011101100001=NaN","layer":2},{"info":"≮⫘↔1000110010000∺≝⩲≮⫘↔1010111110011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1111110011⫢⨠≮⫘↔1001010111110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⋥⋵⩄≮⫘↔10100000=≮⫘↔1110001","layer":2},{"info":"NaN⫞⩸⩒≮⫘↔1110001=NaN","layer":1},{"info":"≮⫘↔101000101101⪔≮⫘↔1000110010111=≮⫘↔111000010","layer":3},{"info":"⩩≮⫘↔100111001011=NaN","layer":3},{"info":"≮⫘↔111000010⩦NaN=≮⫘↔1110000100","layer":2},{"info":"≮⫘↔111101110101∥⊢⊲≮⫘↔1000100011010=NaN","layer":3},{"info":"∟⋨≮⫘↔11110110110=≮⫘↔-10111010010","layer":3},{"info":"NaN⫸⇳≮⫘↔-10111010010=NaN","layer":2},{"info":"≮⫘↔1110000100⫳≱↱NaN=≮⫘↔-11001100","layer":1},{"info":"NaN⋥≓≎≮⫘↔-11001100=≮⫘↔1000011","layer":0}]}
{"id":117,"expression_no_base_symbol":"⊬↢((($4349$⨲∙)⩘(⫓⪴$1411$))≨(⇖⫷⫕(≀↧⇸$3398$)))","expression":"⊬↢(((≮⫘↔1000011111101⨲∙)⩘(⫓⪴≮⫘↔10110000011))≨(⇖⫷⫕(≀↧⇸≮⫘↔110101000110)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3801,"operation_count":7,"complexity_ratio":543.0,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":4349,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1411,"base":2}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3398,"base":2}}}}},"used_operators":["WPoGxAaPR1","0KMCeP1Jsh","cHh1gJQ2o6","cRahaglYVE","eLxqMNBOBk","UHmRx3INFg","ljTHtUsqzn"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","9HNa5Wba9A","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","XPYlsWDdGa","23Mk6UjR3U"],"result":"≮⫘↔11011010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4349","layer":4},{"info":"compute unary expreesion, input=4349, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=56826914","layer":3},{"info":"number node, value=1411","layer":4},{"info":"compute unary expreesion, input=1411, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1990921","layer":3},{"info":"compute binary expreesion, left_input=56826914, right_input=1990921, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=3398","layer":4},{"info":"compute unary expreesion, input=3398, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=6796","layer":3},{"info":"compute unary expreesion, input=6796, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2822, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=876","layer":1},{"info":"compute unary expreesion, input=876, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":0}],"base":2,"result_base":2,"text":"⊬↢(((≮⫘↔1000011111101⨲∙)⩘(⫓⪴≮⫘↔10110000011))≨(⇖⫷⫕(≀↧⇸≮⫘↔110101000110)))=≮⫘↔11011010","reverse_text":"≮⫘↔11011010=⊬↢(((≮⫘↔1000011111101⨲∙)⩘(⫓⪴≮⫘↔10110000011))≨(⇖⫷⫕(≀↧⇸≮⫘↔110101000110)))","cot":[{"info":"≮⫘↔1000011111101⨲∙=≮⫘↔11011000110001110000100010","layer":3},{"info":"⫓⪴≮⫘↔10110000011=≮⫘↔111100110000100001001","layer":3},{"info":"≮⫘↔11011000110001110000100010⩘≮⫘↔111100110000100001001=≮⫘↔10100000","layer":2},{"info":"≀↧⇸≮⫘↔110101000110=≮⫘↔1101010001100","layer":3},{"info":"⇖⫷⫕≮⫘↔1101010001100=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔10100000≨≮⫘↔101100000110=≮⫘↔1101101100","layer":1},{"info":"⊬↢≮⫘↔1101101100=≮⫘↔11011010","layer":0}]}
{"id":118,"expression_no_base_symbol":"($2487$⋕⪉⪜$3189$⩷∴($1800$⊉≛↸$1531$)⫸⊐(∐⩳⋚$1315$)⪔⊥($3139$+⪬∐$3109$))∈","expression":"(≮⫘↔100110110111⋕⪉⪜≮⫘↔110001110101⩷∴(≮⫘↔11100001000⊉≛↸≮⫘↔10111111011)⫸⊐(∐⩳⋚≮⫘↔10100100011)⪔⊥(≮⫘↔110001000011+⪬∐≮⫘↔110000100101))∈","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":233,"operation_count":8,"complexity_ratio":29.125,"tree":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2487,"base":2},"right_expr":{"type":"numeric_atoms","value":3189,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1800,"base":2},"right_expr":{"type":"numeric_atoms","value":1531,"base":2}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1315,"base":2}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3139,"base":2},"right_expr":{"type":"numeric_atoms","value":3109,"base":2}}}}},"used_operators":["ztP7wcbY7m","mqXw5SEYmG","9FxExcQeMw","z6LnFrNh4i","DZ8iAZOCBD","HJ9erzHUuu","SL6IHkK8vl","2GS7woTJqF"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","g55IO6H4Gj","D4vGDi5EA2"],"result":"≮⫘↔100010111001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2487","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=3189, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=1800","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=1531, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3600","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=3600, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6824","layer":2},{"info":"number node, value=1315","layer":4},{"info":"compute unary expreesion, input=1315, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=180182","layer":3},{"info":"number node, value=3139","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=3109, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-9417","layer":3},{"info":"compute binary expreesion, left_input=180182, right_input=-9417, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-179383","layer":2},{"info":"compute binary expreesion, left_input=-6824, right_input=-179383, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=2233","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100110110111⋕⪉⪜≮⫘↔110001110101⩷∴(≮⫘↔11100001000⊉≛↸≮⫘↔10111111011)⫸⊐(∐⩳⋚≮⫘↔10100100011)⪔⊥(≮⫘↔110001000011+⪬∐≮⫘↔110000100101))∈=≮⫘↔100010111001","reverse_text":"≮⫘↔100010111001=(≮⫘↔100110110111⋕⪉⪜≮⫘↔110001110101⩷∴(≮⫘↔11100001000⊉≛↸≮⫘↔10111111011)⫸⊐(∐⩳⋚≮⫘↔10100100011)⪔⊥(≮⫘↔110001000011+⪬∐≮⫘↔110000100101))∈","cot":[{"info":"≮⫘↔100110110111⋕⪉⪜≮⫘↔110001110101=≮⫘↔11001100","layer":3},{"info":"≮⫘↔11100001000⊉≛↸≮⫘↔10111111011=≮⫘↔111000010000","layer":3},{"info":"≮⫘↔11001100⩷∴≮⫘↔111000010000=≮⫘↔-1101010101000","layer":2},{"info":"∐⩳⋚≮⫘↔10100100011=≮⫘↔101011111111010110","layer":3},{"info":"≮⫘↔110001000011+⪬∐≮⫘↔110000100101=≮⫘↔-10010011001001","layer":3},{"info":"≮⫘↔101011111111010110⪔⊥≮⫘↔-10010011001001=≮⫘↔-101011110010110111","layer":2},{"info":"≮⫘↔-1101010101000⫸⊐≮⫘↔-101011110010110111=≮⫘↔1111001000","layer":1},{"info":"≮⫘↔1111001000∈=≮⫘↔100010111001","layer":0}]}
{"id":119,"expression_no_base_symbol":"($1020$⪮%⊝$3081$≀⫉($6779$⨸⪁$6185$))⇤($1468$∳⫺$4051$≓∲$3403$⫸⇳$4316$)⪡(($1285$↬$1493$↙$1069$⊬⨰$5872$)⫍⨯↯)","expression":"(≮⫘↔1111111100⪮%⊝≮⫘↔110000001001≀⫉(≮⫘↔1101001111011⨸⪁≮⫘↔1100000101001))⇤(≮⫘↔10110111100∳⫺≮⫘↔111111010011≓∲≮⫘↔110101001011⫸⇳≮⫘↔1000011011100)⪡((≮⫘↔10100000101↬≮⫘↔10111010101↙≮⫘↔10000101101⊬⨰≮⫘↔1011011110000)⫍⨯↯)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":410,"operation_count":12,"complexity_ratio":34.166666666666664,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":3081,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6779,"base":2},"right_expr":{"type":"numeric_atoms","value":6185,"base":2}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1468,"base":2},"right_expr":{"type":"numeric_atoms","value":4051,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3403,"base":2},"right_expr":{"type":"numeric_atoms","value":4316,"base":2}}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1285,"base":2},"right_expr":{"type":"numeric_atoms","value":1493,"base":2}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1069,"base":2},"right_expr":{"type":"numeric_atoms","value":5872,"base":2}}}}},"used_operators":["oraRL2iQuh","YSKBFp38Pu","oZj3VtZNQx","IWmyXbctLI","g55IO6H4Gj","s1XTVnmDOJ","AzXXKTstlj","gx7XJ7hdpj","ZcwmYACASQ","yyfyN0ffXY","B5M0gjZbta","s3Fd5m9Dh2"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≮⫘↔101111001100010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3081, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2356","layer":3},{"info":"number node, value=6779","layer":4},{"info":"number node, value=6185","layer":4},{"info":"compute binary expreesion, left_input=6779, right_input=6185, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=25928","layer":3},{"info":"compute binary expreesion, left_input=2356, right_input=25928, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1468","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=4051, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2168","layer":3},{"info":"number node, value=3403","layer":4},{"info":"number node, value=4316","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=4316, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2168, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=67, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-11597","layer":1},{"info":"number node, value=1285","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=1493, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=5872","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=5872, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=23501","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23501, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-11597, right_input=-134, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=24162","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111111100⪮%⊝≮⫘↔110000001001≀⫉(≮⫘↔1101001111011⨸⪁≮⫘↔1100000101001))⇤(≮⫘↔10110111100∳⫺≮⫘↔111111010011≓∲≮⫘↔110101001011⫸⇳≮⫘↔1000011011100)⪡((≮⫘↔10100000101↬≮⫘↔10111010101↙≮⫘↔10000101101⊬⨰≮⫘↔1011011110000)⫍⨯↯)=≮⫘↔101111001100010","reverse_text":"≮⫘↔101111001100010=(≮⫘↔1111111100⪮%⊝≮⫘↔110000001001≀⫉(≮⫘↔1101001111011⨸⪁≮⫘↔1100000101001))⇤(≮⫘↔10110111100∳⫺≮⫘↔111111010011≓∲≮⫘↔110101001011⫸⇳≮⫘↔1000011011100)⪡((≮⫘↔10100000101↬≮⫘↔10111010101↙≮⫘↔10000101101⊬⨰≮⫘↔1011011110000)⫍⨯↯)","cot":[{"info":"≮⫘↔1111111100⪮%⊝≮⫘↔110000001001=≮⫘↔100100110100","layer":3},{"info":"≮⫘↔1101001111011⨸⪁≮⫘↔1100000101001=≮⫘↔110010101001000","layer":3},{"info":"≮⫘↔100100110100≀⫉≮⫘↔110010101001000=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔10110111100∳⫺≮⫘↔111111010011=≮⫘↔-100001111000","layer":3},{"info":"≮⫘↔110101001011⫸⇳≮⫘↔1000011011100=≮⫘↔0","layer":3},{"info":"≮⫘↔-100001111000≓∲≮⫘↔0=≮⫘↔1000011","layer":2},{"info":"≮⫘↔101100000110⇤≮⫘↔1000011=≮⫘↔-10110101001101","layer":1},{"info":"≮⫘↔10100000101↬≮⫘↔10111010101=NaN","layer":3},{"info":"≮⫘↔10000101101⊬⨰≮⫘↔1011011110000=≮⫘↔101101111001101","layer":3},{"info":"NaN↙≮⫘↔101101111001101=NaN","layer":2},{"info":"NaN⫍⨯↯=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔-10110101001101⪡≮⫘↔-10000110=≮⫘↔101111001100010","layer":0}]}
{"id":120,"expression_no_base_symbol":"($2073$⫗⊷⫓$5056$⪨≂(⩪∧⨌$1335$))⪟⇏($1341$⩣⫁∢$2394$⫲≸⪮$6290$⪟⇏$3042$)⪢(($1388$⋹⋡⊁$1058$⪓⨏)%(-($1923$⩅⪻⪻)))","expression":"(≮⫘↔100000011001⫗⊷⫓≮⫘↔1001111000000⪨≂(⩪∧⨌≮⫘↔10100110111))⪟⇏(≮⫘↔10100111101⩣⫁∢≮⫘↔100101011010⫲≸⪮≮⫘↔1100010010010⪟⇏≮⫘↔101111100010)⪢((≮⫘↔10101101100⋹⋡⊁≮⫘↔10000100010⪓⨏)%(-(≮⫘↔11110000011⩅⪻⪻)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":67895,"operation_count":13,"complexity_ratio":5222.692307692308,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2073,"base":2},"right_expr":{"type":"numeric_atoms","value":5056,"base":2}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1335,"base":2}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1341,"base":2},"right_expr":{"type":"numeric_atoms","value":2394,"base":2}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6290,"base":2},"right_expr":{"type":"numeric_atoms","value":3042,"base":2}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1388,"base":2},"right_expr":{"type":"numeric_atoms","value":1058,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1923,"base":2}}}}},"used_operators":["dWAJyo7jo9","GODebY97qR","sdazOOVcIp","zashukvMKz","6iOiAJX1F8","P3lXMJvFrc","JDUIKTTSIa","k8jYdgA6NY","4X9JU4Jbn6","As8RqfVLgs","t8gj7n24qd","kHoXpA7yos"],"dependent_operators":["k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2073","layer":4},{"info":"number node, value=5056","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=5056, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1335","layer":4},{"info":"compute unary expreesion, input=1335, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=13350","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=13350, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-26866","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=2394, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2521","layer":3},{"info":"number node, value=6290","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=6290, right_input=3042, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-2521, right_input=-1, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2521","layer":2},{"info":"compute binary expreesion, left_input=-26866, right_input=2521, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=1388","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=1058, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1808","layer":3},{"info":"compute unary expreesion, input=1808, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=1923","layer":4},{"info":"compute unary expreesion, input=1923, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-284029","layer":3},{"info":"compute unary expreesion, input=-284029, op_id = t8gj7n24qd, unary_op_definition = 'None', output=284029","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=284029, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100000011001⫗⊷⫓≮⫘↔1001111000000⪨≂(⩪∧⨌≮⫘↔10100110111))⪟⇏(≮⫘↔10100111101⩣⫁∢≮⫘↔100101011010⫲≸⪮≮⫘↔1100010010010⪟⇏≮⫘↔101111100010)⪢((≮⫘↔10101101100⋹⋡⊁≮⫘↔10000100010⪓⨏)%(-(≮⫘↔11110000011⩅⪻⪻)))=NaN","reverse_text":"NaN=(≮⫘↔100000011001⫗⊷⫓≮⫘↔1001111000000⪨≂(⩪∧⨌≮⫘↔10100110111))⪟⇏(≮⫘↔10100111101⩣⫁∢≮⫘↔100101011010⫲≸⪮≮⫘↔1100010010010⪟⇏≮⫘↔101111100010)⪢((≮⫘↔10101101100⋹⋡⊁≮⫘↔10000100010⪓⨏)%(-(≮⫘↔11110000011⩅⪻⪻)))","cot":[{"info":"≮⫘↔100000011001⫗⊷⫓≮⫘↔1001111000000=≮⫘↔-10000110","layer":3},{"info":"⩪∧⨌≮⫘↔10100110111=≮⫘↔11010000100110","layer":3},{"info":"≮⫘↔-10000110⪨≂≮⫘↔11010000100110=≮⫘↔-110100011110010","layer":2},{"info":"≮⫘↔10100111101⩣⫁∢≮⫘↔100101011010=≮⫘↔-100111011001","layer":3},{"info":"≮⫘↔1100010010010⪟⇏≮⫘↔101111100010=≮⫘↔-1","layer":3},{"info":"≮⫘↔-100111011001⫲≸⪮≮⫘↔-1=≮⫘↔100111011001","layer":2},{"info":"≮⫘↔-110100011110010⪟⇏≮⫘↔100111011001=≮⫘↔0","layer":1},{"info":"≮⫘↔10101101100⋹⋡⊁≮⫘↔10000100010=≮⫘↔11100010000","layer":3},{"info":"≮⫘↔11100010000⪓⨏=NaN","layer":2},{"info":"≮⫘↔11110000011⩅⪻⪻=≮⫘↔-1000101010101111101","layer":3},{"info":"-≮⫘↔-1000101010101111101=≮⫘↔1000101010101111101","layer":2},{"info":"NaN%≮⫘↔1000101010101111101=NaN","layer":1},{"info":"≮⫘↔0⪢NaN=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"(≛(($3681$⇗⋫)⊴⇁⪶))↸(($1078$⫡⨏$4617$)⊭↱$1366$≀⩗∶$2991$)⩺⪪($1376$⪉⨛$6102$)⇴($1999$⋻⩜⩜$2458$)","expression":"(≛((≮⫘↔111001100001⇗⋫)⊴⇁⪶))↸((≮⫘↔10000110110⫡⨏≮⫘↔1001000001001)⊭↱≮⫘↔10101010110≀⩗∶≮⫘↔101110101111)⩺⪪(≮⫘↔10101100000⪉⨛≮⫘↔1011111010110)⇴(≮⫘↔11111001111⋻⩜⩜≮⫘↔100110011010)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34763,"operation_count":11,"complexity_ratio":3160.2727272727275,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":3681,"base":2}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1078,"base":2},"right_expr":{"type":"numeric_atoms","value":4617,"base":2}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1366,"base":2},"right_expr":{"type":"numeric_atoms","value":2991,"base":2}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1376,"base":2},"right_expr":{"type":"numeric_atoms","value":6102,"base":2}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1999,"base":2},"right_expr":{"type":"numeric_atoms","value":2458,"base":2}}}}},"used_operators":["1eCjFl0mb9","W7eaUhjymW","oo9mF6JIpo","hpqmaQFPrd","uvdQJvN4PV","COABgblf1C","QMFrweE19q","8INZBEW696","4JB6nKBMSY","EWw2JM7wp4","oDCm7WA9JY"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rxpJgHHUmx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3681","layer":4},{"info":"compute unary expreesion, input=3681, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":1},{"info":"number node, value=1078","layer":4},{"info":"number node, value=4617","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=4617, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15407","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=2991, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=15407, right_input=-6, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-30821","layer":2},{"info":"number node, value=1376","layer":4},{"info":"number node, value=6102","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=6102, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1759","layer":3},{"info":"number node, value=1999","layer":4},{"info":"number node, value=2458","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=2458, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3998","layer":3},{"info":"compute binary expreesion, left_input=-1759, right_input=3998, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-2944","layer":2},{"info":"compute binary expreesion, left_input=-30821, right_input=-2944, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≛((≮⫘↔111001100001⇗⋫)⊴⇁⪶))↸((≮⫘↔10000110110⫡⨏≮⫘↔1001000001001)⊭↱≮⫘↔10101010110≀⩗∶≮⫘↔101110101111)⩺⪪(≮⫘↔10101100000⪉⨛≮⫘↔1011111010110)⇴(≮⫘↔11111001111⋻⩜⩜≮⫘↔100110011010)=NaN","reverse_text":"NaN=(≛((≮⫘↔111001100001⇗⋫)⊴⇁⪶))↸((≮⫘↔10000110110⫡⨏≮⫘↔1001000001001)⊭↱≮⫘↔10101010110≀⩗∶≮⫘↔101110101111)⩺⪪(≮⫘↔10101100000⪉⨛≮⫘↔1011111010110)⇴(≮⫘↔11111001111⋻⩜⩜≮⫘↔100110011010)","cot":[{"info":"≮⫘↔111001100001⇗⋫=NaN","layer":3},{"info":"NaN⊴⇁⪶=NaN","layer":2},{"info":"≛NaN=NaN","layer":1},{"info":"≮⫘↔10000110110⫡⨏≮⫘↔1001000001001=≮⫘↔11110000101111","layer":3},{"info":"≮⫘↔10101010110≀⩗∶≮⫘↔101110101111=≮⫘↔-110","layer":3},{"info":"≮⫘↔11110000101111⊭↱≮⫘↔-110=≮⫘↔-111100001100101","layer":2},{"info":"≮⫘↔10101100000⪉⨛≮⫘↔1011111010110=≮⫘↔-11011011111","layer":3},{"info":"≮⫘↔11111001111⋻⩜⩜≮⫘↔100110011010=≮⫘↔111110011110","layer":3},{"info":"≮⫘↔-11011011111⇴≮⫘↔111110011110=≮⫘↔-101110000000","layer":2},{"info":"≮⫘↔-111100001100101⩺⪪≮⫘↔-101110000000=≮⫘↔-11100011010","layer":1},{"info":"NaN↸≮⫘↔-11100011010=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"(((⊬↢$1707$)∙∹∝$4029$⋓$1119$)⩷∴$1306$∊∟⩊$3002$↬$1301$⨚$1667$)⊬⨰(($2333$⩉⊫⨁)⪎↠($5335$⨽$4619$)⇍⊗($2215$≎⊠⪸$7971$)⊮⊟↴($2416$↳∿⪆$1586$))","expression":"(((⊬↢≮⫘↔11010101011)∙∹∝≮⫘↔111110111101⋓≮⫘↔10001011111)⩷∴≮⫘↔10100011010∊∟⩊≮⫘↔101110111010↬≮⫘↔10100010101⨚≮⫘↔11010000011)⊬⨰((≮⫘↔100100011101⩉⊫⨁)⪎↠(≮⫘↔1010011010111⨽≮⫘↔1001000001011)⇍⊗(≮⫘↔100010100111≎⊠⪸≮⫘↔1111100100011)⊮⊟↴(≮⫘↔100101110000↳∿⪆≮⫘↔11000110010))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9915,"operation_count":15,"complexity_ratio":661.0,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1707,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4029,"base":2},"right_expr":{"type":"numeric_atoms","value":1119,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1306,"base":2},"right_expr":{"type":"numeric_atoms","value":3002,"base":2}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1301,"base":2},"right_expr":{"type":"numeric_atoms","value":1667,"base":2}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2333,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5335,"base":2},"right_expr":{"type":"numeric_atoms","value":4619,"base":2}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2215,"base":2},"right_expr":{"type":"numeric_atoms","value":7971,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2416,"base":2},"right_expr":{"type":"numeric_atoms","value":1586,"base":2}}}}},"used_operators":["s3Fd5m9Dh2","9FxExcQeMw","HmxsFra2vL","WPoGxAaPR1","T2fj7uvVaJ","B5M0gjZbta","ddLRYrp01A","nREPSIbpBE","5uvYHDjeKN","3tVxb0NHM4","7qqUquhhSb","8HhzD0ZcuI","QDVgd2eftb","bJkvcejdHO","Cw4SuJJGHO"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","BjRHVeLaeN","12rbrZMWeM","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","7j4O788W3g","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1707","layer":4},{"info":"compute unary expreesion, input=1707, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=4029","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=4029, right_input=1119, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1306","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=3002, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3002","layer":3},{"info":"number node, value=1301","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=1667, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3132","layer":3},{"info":"compute binary expreesion, left_input=3002, right_input=-3132, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2333","layer":4},{"info":"compute unary expreesion, input=2333, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2333","layer":3},{"info":"number node, value=5335","layer":4},{"info":"number node, value=4619","layer":4},{"info":"compute binary expreesion, left_input=5335, right_input=4619, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-85399218","layer":3},{"info":"compute binary expreesion, left_input=2333, right_input=-85399218, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=2215","layer":4},{"info":"number node, value=7971","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=7971, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=573212","layer":3},{"info":"number node, value=2416","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1586, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=573212, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⊬↢≮⫘↔11010101011)∙∹∝≮⫘↔111110111101⋓≮⫘↔10001011111)⩷∴≮⫘↔10100011010∊∟⩊≮⫘↔101110111010↬≮⫘↔10100010101⨚≮⫘↔11010000011)⊬⨰((≮⫘↔100100011101⩉⊫⨁)⪎↠(≮⫘↔1010011010111⨽≮⫘↔1001000001011)⇍⊗(≮⫘↔100010100111≎⊠⪸≮⫘↔1111100100011)⊮⊟↴(≮⫘↔100101110000↳∿⪆≮⫘↔11000110010))=NaN","reverse_text":"NaN=(((⊬↢≮⫘↔11010101011)∙∹∝≮⫘↔111110111101⋓≮⫘↔10001011111)⩷∴≮⫘↔10100011010∊∟⩊≮⫘↔101110111010↬≮⫘↔10100010101⨚≮⫘↔11010000011)⊬⨰((≮⫘↔100100011101⩉⊫⨁)⪎↠(≮⫘↔1010011010111⨽≮⫘↔1001000001011)⇍⊗(≮⫘↔100010100111≎⊠⪸≮⫘↔1111100100011)⊮⊟↴(≮⫘↔100101110000↳∿⪆≮⫘↔11000110010))","cot":[{"info":"⊬↢≮⫘↔11010101011=≮⫘↔11011010","layer":3},{"info":"≮⫘↔111110111101⋓≮⫘↔10001011111=≮⫘↔0","layer":3},{"info":"≮⫘↔11011010∙∹∝≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔10100011010∊∟⩊≮⫘↔101110111010=≮⫘↔101110111010","layer":3},{"info":"≮⫘↔10100010101⨚≮⫘↔11010000011=≮⫘↔-110000111100","layer":3},{"info":"≮⫘↔101110111010↬≮⫘↔-110000111100=NaN","layer":2},{"info":"≮⫘↔0⩷∴NaN=NaN","layer":1},{"info":"≮⫘↔100100011101⩉⊫⨁=≮⫘↔100100011101","layer":3},{"info":"≮⫘↔1010011010111⨽≮⫘↔1001000001011=≮⫘↔-101000101110001011010110010","layer":3},{"info":"≮⫘↔100100011101⪎↠≮⫘↔-101000101110001011010110010=≮⫘↔10100000","layer":2},{"info":"≮⫘↔100010100111≎⊠⪸≮⫘↔1111100100011=≮⫘↔10001011111100011100","layer":3},{"info":"≮⫘↔100101110000↳∿⪆≮⫘↔11000110010=NaN","layer":3},{"info":"≮⫘↔10001011111100011100⊮⊟↴NaN=NaN","layer":2},{"info":"≮⫘↔10100000⇍⊗NaN=NaN","layer":1},{"info":"NaN⊬⨰NaN=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"((-$1149$⨳⩥⨓$1051$)⊠≄⫣)⊨(((≦∁$4802$)⩷∴(⇙⪊$1225$))⊴⇁⪶)","expression":"((-≮⫘↔10001111101⨳⩥⨓≮⫘↔10000011011)⊠≄⫣)⊨(((≦∁≮⫘↔1001011000010)⩷∴(⇙⪊≮⫘↔10011001001))⊴⇁⪶)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9755,"operation_count":8,"complexity_ratio":1219.375,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1149,"base":2},"right_expr":{"type":"numeric_atoms","value":1051,"base":2}}}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4802,"base":2}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1225,"base":2}}}}},"used_operators":["vg4gO5BX6G","DIvbN7qnHd","t8gj7n24qd","nCS4ZIUYfx","oo9mF6JIpo","9FxExcQeMw","9ICcGScMcE","pB6Fcnrjim"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"≮⫘↔-10101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1051, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-98","layer":3},{"info":"compute unary expreesion, input=-98, op_id = t8gj7n24qd, unary_op_definition = 'None', output=98","layer":2},{"info":"compute unary expreesion, input=98, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=4802","layer":4},{"info":"compute unary expreesion, input=4802, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4802","layer":3},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4802, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9572","layer":2},{"info":"compute unary expreesion, input=9572, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=202906","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=202906, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":2,"result_base":2,"text":"((-≮⫘↔10001111101⨳⩥⨓≮⫘↔10000011011)⊠≄⫣)⊨(((≦∁≮⫘↔1001011000010)⩷∴(⇙⪊≮⫘↔10011001001))⊴⇁⪶)=≮⫘↔-10101110","reverse_text":"≮⫘↔-10101110=((-≮⫘↔10001111101⨳⩥⨓≮⫘↔10000011011)⊠≄⫣)⊨(((≦∁≮⫘↔1001011000010)⩷∴(⇙⪊≮⫘↔10011001001))⊴⇁⪶)","cot":[{"info":"≮⫘↔10001111101⨳⩥⨓≮⫘↔10000011011=≮⫘↔-1100010","layer":3},{"info":"-≮⫘↔-1100010=≮⫘↔1100010","layer":2},{"info":"≮⫘↔1100010⊠≄⫣=≮⫘↔0","layer":1},{"info":"≦∁≮⫘↔1001011000010=≮⫘↔1001011000010","layer":3},{"info":"⇙⪊≮⫘↔10011001001=≮⫘↔0","layer":3},{"info":"≮⫘↔1001011000010⩷∴≮⫘↔0=≮⫘↔10010101100100","layer":2},{"info":"≮⫘↔10010101100100⊴⇁⪶=≮⫘↔110001100010011010","layer":1},{"info":"≮⫘↔0⊨≮⫘↔110001100010011010=≮⫘↔-10101110","layer":0}]}
{"id":124,"expression_no_base_symbol":"≯(($7160$⇽⩪)⨐⩸⫘($4769$∠⫱$4903$)/(⇁⨣⪵$1304$⨂≜$5508$))","expression":"≯((≮⫘↔1101111111000⇽⩪)⨐⩸⫘(≮⫘↔1001010100001∠⫱≮⫘↔1001100100111)/(⇁⨣⪵≮⫘↔10100011000⨂≜≮⫘↔1010110000100))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1379,"operation_count":7,"complexity_ratio":197.0,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":7160,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4769,"base":2},"right_expr":{"type":"numeric_atoms","value":4903,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1304,"base":2},"right_expr":{"type":"numeric_atoms","value":5508,"base":2}}}}},"used_operators":["keWfFq85dY","XhwjNDsVaA","fu6greOZ01","FonBHBYJbU","QvoQhV0rrE","inkyxCbjAn","k1SHOSEABc"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","B5M0gjZbta","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7160","layer":4},{"info":"compute unary expreesion, input=7160, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=14842","layer":3},{"info":"number node, value=4769","layer":4},{"info":"number node, value=4903","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=4903, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=14842, right_input=1234, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1304","layer":4},{"info":"number node, value=5508","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=5508, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≯((≮⫘↔1101111111000⇽⩪)⨐⩸⫘(≮⫘↔1001010100001∠⫱≮⫘↔1001100100111)/(⇁⨣⪵≮⫘↔10100011000⨂≜≮⫘↔1010110000100))=NaN","reverse_text":"NaN=≯((≮⫘↔1101111111000⇽⩪)⨐⩸⫘(≮⫘↔1001010100001∠⫱≮⫘↔1001100100111)/(⇁⨣⪵≮⫘↔10100011000⨂≜≮⫘↔1010110000100))","cot":[{"info":"≮⫘↔1101111111000⇽⩪=≮⫘↔11100111111010","layer":3},{"info":"≮⫘↔1001010100001∠⫱≮⫘↔1001100100111=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔11100111111010⨐⩸⫘≮⫘↔10011010010=NaN","layer":2},{"info":"≮⫘↔10100011000⨂≜≮⫘↔1010110000100=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"≯NaN=NaN","layer":0}]}
{"id":125,"expression_no_base_symbol":"($2282$⋝⋈⪟$1840$≀⩗∶$1393$↬$1312$)⇷($1716$⇴$2463$)≨($3717$⇮⋭$6544$)⨐⩸⫘($6668$⩤)⊢($3658$⫸⇳$6728$)⫰⋱(↑$3124$)≭(⨦⪝$1254$)","expression":"(≮⫘↔100011101010⋝⋈⪟≮⫘↔11100110000≀⩗∶≮⫘↔10101110001↬≮⫘↔10100100000)⇷(≮⫘↔11010110100⇴≮⫘↔100110011111)≨(≮⫘↔111010000101⇮⋭≮⫘↔1100110010000)⨐⩸⫘(≮⫘↔1101000001100⩤)⊢(≮⫘↔111001001010⫸⇳≮⫘↔1101001001000)⫰⋱(↑≮⫘↔110000110100)≭(⨦⪝≮⫘↔10011100110)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":275,"operation_count":15,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2282,"base":2},"right_expr":{"type":"numeric_atoms","value":1840,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1393,"base":2},"right_expr":{"type":"numeric_atoms","value":1312,"base":2}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1716,"base":2},"right_expr":{"type":"numeric_atoms","value":2463,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3717,"base":2},"right_expr":{"type":"numeric_atoms","value":6544,"base":2}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6668,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3658,"base":2},"right_expr":{"type":"numeric_atoms","value":6728,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":3124,"base":2}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1254,"base":2}}}}},"used_operators":["fu6greOZ01","mp7IySMOzn","8INZBEW696","2DDjHMKMc0","B5M0gjZbta","0KMCeP1Jsh","4JB6nKBMSY","vkpjKywKVM","6o9Blt3TJ6","5twsqlHp2o","Z2TMIBDE3Q","gx7XJ7hdpj","rxpJgHHUmx","tR7O2zTn5j","SUjycxNXIR"],"dependent_operators":["3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","NTOWxs364D","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2282","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=1840, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2282","layer":3},{"info":"number node, value=1393","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1312, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2282, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=1716","layer":4},{"info":"number node, value=2463","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=2463, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=14836","layer":3},{"info":"number node, value=3717","layer":4},{"info":"number node, value=6544","layer":4},{"info":"compute binary expreesion, left_input=3717, right_input=6544, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=14836, right_input=-473, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-145884","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-145884, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=6668","layer":4},{"info":"compute unary expreesion, input=6668, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6668","layer":3},{"info":"number node, value=3658","layer":4},{"info":"number node, value=6728","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=6728, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6668, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=13092","layer":2},{"info":"number node, value=3124","layer":4},{"info":"compute unary expreesion, input=3124, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=1254","layer":4},{"info":"compute unary expreesion, input=1254, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-1884, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13092, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100011101010⋝⋈⪟≮⫘↔11100110000≀⩗∶≮⫘↔10101110001↬≮⫘↔10100100000)⇷(≮⫘↔11010110100⇴≮⫘↔100110011111)≨(≮⫘↔111010000101⇮⋭≮⫘↔1100110010000)⨐⩸⫘(≮⫘↔1101000001100⩤)⊢(≮⫘↔111001001010⫸⇳≮⫘↔1101001001000)⫰⋱(↑≮⫘↔110000110100)≭(⨦⪝≮⫘↔10011100110)=NaN","reverse_text":"NaN=(≮⫘↔100011101010⋝⋈⪟≮⫘↔11100110000≀⩗∶≮⫘↔10101110001↬≮⫘↔10100100000)⇷(≮⫘↔11010110100⇴≮⫘↔100110011111)≨(≮⫘↔111010000101⇮⋭≮⫘↔1100110010000)⨐⩸⫘(≮⫘↔1101000001100⩤)⊢(≮⫘↔111001001010⫸⇳≮⫘↔1101001001000)⫰⋱(↑≮⫘↔110000110100)≭(⨦⪝≮⫘↔10011100110)","cot":[{"info":"≮⫘↔100011101010⋝⋈⪟≮⫘↔11100110000=≮⫘↔100011101010","layer":3},{"info":"≮⫘↔10101110001↬≮⫘↔10100100000=NaN","layer":3},{"info":"≮⫘↔100011101010≀⩗∶NaN=NaN","layer":2},{"info":"≮⫘↔11010110100⇴≮⫘↔100110011111=≮⫘↔11100111110100","layer":3},{"info":"≮⫘↔111010000101⇮⋭≮⫘↔1100110010000=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔11100111110100≨≮⫘↔-111011001=≮⫘↔-100011100111011100","layer":2},{"info":"NaN⇷≮⫘↔-100011100111011100=NaN","layer":1},{"info":"≮⫘↔1101000001100⩤=≮⫘↔-1101000001100","layer":3},{"info":"≮⫘↔111001001010⫸⇳≮⫘↔1101001001000=≮⫘↔0","layer":3},{"info":"≮⫘↔-1101000001100⊢≮⫘↔0=≮⫘↔11001100100100","layer":2},{"info":"↑≮⫘↔110000110100=≮⫘↔11000000","layer":3},{"info":"⨦⪝≮⫘↔10011100110=≮⫘↔-11101011100","layer":3},{"info":"≮⫘↔11000000≭≮⫘↔-11101011100=NaN","layer":2},{"info":"≮⫘↔11001100100100⫰⋱NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":126,"expression_no_base_symbol":"⨮↦↱(((-$2732$)⨹)⫘($8065$∇⊂⋱$7530$∲⫓(⋗⩬⋾$7463$)))","expression":"⨮↦↱(((-≮⫘↔101010101100)⨹)⫘(≮⫘↔1111110000001∇⊂⋱≮⫘↔1110101101010∲⫓(⋗⩬⋾≮⫘↔1110100100111)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3340,"operation_count":7,"complexity_ratio":477.14285714285717,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2732,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":8065,"base":2},"right_expr":{"type":"numeric_atoms","value":7530,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7463,"base":2}}}}},"used_operators":["sYcpBQ0cFf","48vC8HMD2b","UnCoSGIALn","t8gj7n24qd","i8ToyICDmI","nhYeJWJD5X","DpFCA1CohY"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2732","layer":3},{"info":"compute unary expreesion, input=-2732, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":2},{"info":"number node, value=8065","layer":4},{"info":"number node, value=7530","layer":4},{"info":"compute binary expreesion, left_input=8065, right_input=7530, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=15584","layer":3},{"info":"number node, value=7463","layer":4},{"info":"compute unary expreesion, input=7463, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-22389","layer":3},{"info":"compute binary expreesion, left_input=15584, right_input=-22389, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=15584","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15584, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨮↦↱(((-≮⫘↔101010101100)⨹)⫘(≮⫘↔1111110000001∇⊂⋱≮⫘↔1110101101010∲⫓(⋗⩬⋾≮⫘↔1110100100111)))=NaN","reverse_text":"NaN=⨮↦↱(((-≮⫘↔101010101100)⨹)⫘(≮⫘↔1111110000001∇⊂⋱≮⫘↔1110101101010∲⫓(⋗⩬⋾≮⫘↔1110100100111)))","cot":[{"info":"-≮⫘↔101010101100=≮⫘↔-101010101100","layer":3},{"info":"≮⫘↔-101010101100⨹=NaN","layer":2},{"info":"≮⫘↔1111110000001∇⊂⋱≮⫘↔1110101101010=≮⫘↔11110011100000","layer":3},{"info":"⋗⩬⋾≮⫘↔1110100100111=≮⫘↔-101011101110101","layer":3},{"info":"≮⫘↔11110011100000∲⫓≮⫘↔-101011101110101=≮⫘↔11110011100000","layer":2},{"info":"NaN⫘≮⫘↔11110011100000=NaN","layer":1},{"info":"⨮↦↱NaN=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"≦∁((⩏⊷≩$1263$)∓⋝($2473$∽$1815$)⨱∎)","expression":"≦∁((⩏⊷≩≮⫘↔10011101111)∓⋝(≮⫘↔100110101001∽≮⫘↔11100010111)⨱∎)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":95,"operation_count":5,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1263,"base":2}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2473,"base":2},"right_expr":{"type":"numeric_atoms","value":1815,"base":2}}}}},"used_operators":["9ICcGScMcE","MmTdOpaElr","PoHhknlbAi","uOZ1tnYMDE","y4ImoPnbV5"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tifHPKVTfV","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","23Mk6UjR3U","12rbrZMWeM","NTOWxs364D","QMFrweE19q"],"result":"≮⫘↔-101000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2225","layer":3},{"info":"number node, value=2473","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=1815, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17632","layer":3},{"info":"compute binary expreesion, left_input=2225, right_input=-17632, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":0}],"base":2,"result_base":2,"text":"≦∁((⩏⊷≩≮⫘↔10011101111)∓⋝(≮⫘↔100110101001∽≮⫘↔11100010111)⨱∎)=≮⫘↔-101000000","reverse_text":"≮⫘↔-101000000=≦∁((⩏⊷≩≮⫘↔10011101111)∓⋝(≮⫘↔100110101001∽≮⫘↔11100010111)⨱∎)","cot":[{"info":"⩏⊷≩≮⫘↔10011101111=≮⫘↔100010110001","layer":3},{"info":"≮⫘↔100110101001∽≮⫘↔11100010111=≮⫘↔-100010011100000","layer":3},{"info":"≮⫘↔100010110001∓⋝≮⫘↔-100010011100000=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1000011⨱∎=≮⫘↔0","layer":1},{"info":"≦∁≮⫘↔0=≮⫘↔-101000000","layer":0}]}
{"id":128,"expression_no_base_symbol":"⨮↦↱($7018$⊋$2324$⩇∃⫛($1262$⨎$1267$)⋭≵($2595$⇻⋧≁$1057$⫳≱↱($3952$⫌⩉⩟$5597$)))","expression":"⨮↦↱(≮⫘↔1101101101010⊋≮⫘↔100100010100⩇∃⫛(≮⫘↔10011101110⨎≮⫘↔10011110011)⋭≵(≮⫘↔101000100011⇻⋧≁≮⫘↔10000100001⫳≱↱(≮⫘↔111101110000⫌⩉⩟≮⫘↔1010111011101)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41325,"operation_count":8,"complexity_ratio":5165.625,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7018,"base":2},"right_expr":{"type":"numeric_atoms","value":2324,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1262,"base":2},"right_expr":{"type":"numeric_atoms","value":1267,"base":2}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2595,"base":2},"right_expr":{"type":"numeric_atoms","value":1057,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3952,"base":2},"right_expr":{"type":"numeric_atoms","value":5597,"base":2}}}}},"used_operators":["sYcpBQ0cFf","jBncVCNhdl","1aApVXNlOP","W4tP9CfskL","rJVOvQCfKK","ZvLB05nZmT","jCPkEVoL5K","XIIwhv8d0m"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≮⫘↔-10101011000000001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7018","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=7018, right_input=2324, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=84947884","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1267, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1267","layer":3},{"info":"compute binary expreesion, left_input=84947884, right_input=1267, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-84946144","layer":2},{"info":"number node, value=2595","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=1057, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=3952","layer":4},{"info":"number node, value=5597","layer":4},{"info":"compute binary expreesion, left_input=3952, right_input=5597, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-50, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-421","layer":2},{"info":"compute binary expreesion, left_input=-84946144, right_input=-421, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-700428","layer":0}],"base":2,"result_base":2,"text":"⨮↦↱(≮⫘↔1101101101010⊋≮⫘↔100100010100⩇∃⫛(≮⫘↔10011101110⨎≮⫘↔10011110011)⋭≵(≮⫘↔101000100011⇻⋧≁≮⫘↔10000100001⫳≱↱(≮⫘↔111101110000⫌⩉⩟≮⫘↔1010111011101)))=≮⫘↔-10101011000000001100","reverse_text":"≮⫘↔-10101011000000001100=⨮↦↱(≮⫘↔1101101101010⊋≮⫘↔100100010100⩇∃⫛(≮⫘↔10011101110⨎≮⫘↔10011110011)⋭≵(≮⫘↔101000100011⇻⋧≁≮⫘↔10000100001⫳≱↱(≮⫘↔111101110000⫌⩉⩟≮⫘↔1010111011101)))","cot":[{"info":"≮⫘↔1101101101010⊋≮⫘↔100100010100=≮⫘↔101000100000011001110101100","layer":3},{"info":"≮⫘↔10011101110⨎≮⫘↔10011110011=≮⫘↔10011110011","layer":3},{"info":"≮⫘↔101000100000011001110101100⩇∃⫛≮⫘↔10011110011=≮⫘↔-101000100000010110011100000","layer":2},{"info":"≮⫘↔101000100011⇻⋧≁≮⫘↔10000100001=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔111101110000⫌⩉⩟≮⫘↔1010111011101=≮⫘↔-110010","layer":3},{"info":"≮⫘↔-110111111⫳≱↱≮⫘↔-110010=≮⫘↔-110100101","layer":2},{"info":"≮⫘↔-101000100000010110011100000⋭≵≮⫘↔-110100101=≮⫘↔1000011","layer":1},{"info":"⨮↦↱≮⫘↔1000011=≮⫘↔-10101011000000001100","layer":0}]}
{"id":129,"expression_no_base_symbol":"(⊆⋠((⫎≠⋺$1419$)⨶))⫯⪬∳(($6677$⫁$4647$)⨂≜($2365$≎⪠$1144$)⊲⩕⊾($2599$⪭≯$7288$)⪢($3755$⋣⋖$3116$))","expression":"(⊆⋠((⫎≠⋺≮⫘↔10110001011)⨶))⫯⪬∳((≮⫘↔1101000010101⫁≮⫘↔1001000100111)⨂≜(≮⫘↔100100111101≎⪠≮⫘↔10001111000)⊲⩕⊾(≮⫘↔101000100111⪭≯≮⫘↔1110001111000)⪢(≮⫘↔111010101011⋣⋖≮⫘↔110000101100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23501,"operation_count":11,"complexity_ratio":2136.4545454545455,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1419,"base":2}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6677,"base":2},"right_expr":{"type":"numeric_atoms","value":4647,"base":2}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2365,"base":2},"right_expr":{"type":"numeric_atoms","value":1144,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2599,"base":2},"right_expr":{"type":"numeric_atoms","value":7288,"base":2}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3755,"base":2},"right_expr":{"type":"numeric_atoms","value":3116,"base":2}}}}},"used_operators":["d7ASUq0ydm","EBhcHTkKd8","rFxw8gIMmB","LYeZOJ0nQG","DmTXOeWf9t","k1SHOSEABc","0ajvFaJAv0","aNhz54LH3e","dWAJyo7jo9","XAx5wpdLa6","J0M6qkBnIM"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","f6k1SAg4EE","Qy55tPpLXF","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","cHh1gJQ2o6","AHs5Up7iyr","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","k8jYdgA6NY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"≮⫘↔10111011100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-1746","layer":2},{"info":"compute unary expreesion, input=-1746, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":1},{"info":"number node, value=6677","layer":4},{"info":"number node, value=4647","layer":4},{"info":"compute binary expreesion, left_input=6677, right_input=4647, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2365","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=1144, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=19558, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2599","layer":4},{"info":"number node, value=7288","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=7288, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3755","layer":4},{"info":"number node, value=3116","layer":4},{"info":"compute binary expreesion, left_input=3755, right_input=3116, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3755","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3755, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=12004","layer":0}],"base":2,"result_base":2,"text":"(⊆⋠((⫎≠⋺≮⫘↔10110001011)⨶))⫯⪬∳((≮⫘↔1101000010101⫁≮⫘↔1001000100111)⨂≜(≮⫘↔100100111101≎⪠≮⫘↔10001111000)⊲⩕⊾(≮⫘↔101000100111⪭≯≮⫘↔1110001111000)⪢(≮⫘↔111010101011⋣⋖≮⫘↔110000101100))=≮⫘↔10111011100100","reverse_text":"≮⫘↔10111011100100=(⊆⋠((⫎≠⋺≮⫘↔10110001011)⨶))⫯⪬∳((≮⫘↔1101000010101⫁≮⫘↔1001000100111)⨂≜(≮⫘↔100100111101≎⪠≮⫘↔10001111000)⊲⩕⊾(≮⫘↔101000100111⪭≯≮⫘↔1110001111000)⪢(≮⫘↔111010101011⋣⋖≮⫘↔110000101100))","cot":[{"info":"⫎≠⋺≮⫘↔10110001011=≮⫘↔0","layer":3},{"info":"≮⫘↔0⨶=≮⫘↔-11011010010","layer":2},{"info":"⊆⋠≮⫘↔-11011010010=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔1101000010101⫁≮⫘↔1001000100111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔100100111101≎⪠≮⫘↔10001111000=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔10100000⨂≜≮⫘↔100110001100110=NaN","layer":2},{"info":"≮⫘↔101000100111⪭≯≮⫘↔1110001111000=NaN","layer":3},{"info":"≮⫘↔111010101011⋣⋖≮⫘↔110000101100=≮⫘↔111010101011","layer":3},{"info":"NaN⪢≮⫘↔111010101011=NaN","layer":2},{"info":"NaN⊲⩕⊾NaN=NaN","layer":1},{"info":"≮⫘↔111110001011⫯⪬∳NaN=≮⫘↔10111011100100","layer":0}]}
{"id":130,"expression_no_base_symbol":"((($2115$⫲≸⪮$3727$)∣(⇖$2383$))⊊)↱(($3322$⋷$1233$)+⪬∐$5261$≦↸$4568$∕⩚($1154$∷$5020$)≁($6467$⩺⪪$1178$))","expression":"(((≮⫘↔100001000011⫲≸⪮≮⫘↔111010001111)∣(⇖≮⫘↔100101001111))⊊)↱((≮⫘↔110011111010⋷≮⫘↔10011010001)+⪬∐≮⫘↔1010010001101≦↸≮⫘↔1000111011000∕⩚(≮⫘↔10010000010∷≮⫘↔1001110011100)≁(≮⫘↔1100101000011⩺⪪≮⫘↔10010011010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2972,"operation_count":12,"complexity_ratio":247.66666666666666,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2115,"base":2},"right_expr":{"type":"numeric_atoms","value":3727,"base":2}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2383,"base":2}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3322,"base":2},"right_expr":{"type":"numeric_atoms","value":1233,"base":2}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5261,"base":2},"right_expr":{"type":"numeric_atoms","value":4568,"base":2}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1154,"base":2},"right_expr":{"type":"numeric_atoms","value":5020,"base":2}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":6467,"base":2},"right_expr":{"type":"numeric_atoms","value":1178,"base":2}}}}},"used_operators":["SR5kFfdi6N","W9R8I5fN5A","PPChnnnBFF","P3lXMJvFrc","tfWHHpNKUN","z9ffQ9n5Zr","2GS7woTJqF","23Mk6UjR3U","RygbFNSyEJ","8N2wDY1A35","D3AQDKkPcf","uvdQJvN4PV"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","2DQ55sFlQl","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"≮⫘↔10110010011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2115","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=3727, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2115","layer":3},{"info":"number node, value=2383","layer":4},{"info":"compute unary expreesion, input=2383, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2115, right_input=160, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-1158","layer":2},{"info":"compute unary expreesion, input=-1158, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":1},{"info":"number node, value=3322","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=1233, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-856","layer":3},{"info":"number node, value=5261","layer":4},{"info":"number node, value=4568","layer":4},{"info":"compute binary expreesion, left_input=5261, right_input=4568, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-18977","layer":3},{"info":"compute binary expreesion, left_input=-856, right_input=-18977, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=2568","layer":2},{"info":"number node, value=1154","layer":4},{"info":"number node, value=5020","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=5020, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5020","layer":3},{"info":"number node, value=6467","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=6467, right_input=1178, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-85522","layer":3},{"info":"compute binary expreesion, left_input=5020, right_input=-85522, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-2405105","layer":2},{"info":"compute binary expreesion, left_input=2568, right_input=-2405105, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=90927, right_input=-487, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=11416","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔100001000011⫲≸⪮≮⫘↔111010001111)∣(⇖≮⫘↔100101001111))⊊)↱((≮⫘↔110011111010⋷≮⫘↔10011010001)+⪬∐≮⫘↔1010010001101≦↸≮⫘↔1000111011000∕⩚(≮⫘↔10010000010∷≮⫘↔1001110011100)≁(≮⫘↔1100101000011⩺⪪≮⫘↔10010011010))=≮⫘↔10110010011000","reverse_text":"≮⫘↔10110010011000=(((≮⫘↔100001000011⫲≸⪮≮⫘↔111010001111)∣(⇖≮⫘↔100101001111))⊊)↱((≮⫘↔110011111010⋷≮⫘↔10011010001)+⪬∐≮⫘↔1010010001101≦↸≮⫘↔1000111011000∕⩚(≮⫘↔10010000010∷≮⫘↔1001110011100)≁(≮⫘↔1100101000011⩺⪪≮⫘↔10010011010))","cot":[{"info":"≮⫘↔100001000011⫲≸⪮≮⫘↔111010001111=≮⫘↔100001000011","layer":3},{"info":"⇖≮⫘↔100101001111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔100001000011∣≮⫘↔10100000=≮⫘↔-10010000110","layer":2},{"info":"≮⫘↔-10010000110⊊=≮⫘↔10110001100101111","layer":1},{"info":"≮⫘↔110011111010⋷≮⫘↔10011010001=≮⫘↔-1101011000","layer":3},{"info":"≮⫘↔1010010001101≦↸≮⫘↔1000111011000=≮⫘↔-100101000100001","layer":3},{"info":"≮⫘↔-1101011000+⪬∐≮⫘↔-100101000100001=≮⫘↔101000001000","layer":2},{"info":"≮⫘↔10010000010∷≮⫘↔1001110011100=≮⫘↔1001110011100","layer":3},{"info":"≮⫘↔1100101000011⩺⪪≮⫘↔10010011010=≮⫘↔-10100111000010010","layer":3},{"info":"≮⫘↔1001110011100≁≮⫘↔-10100111000010010=≮⫘↔-1001001011001011110001","layer":2},{"info":"≮⫘↔101000001000∕⩚≮⫘↔-1001001011001011110001=≮⫘↔-111100111","layer":1},{"info":"≮⫘↔10110001100101111↱≮⫘↔-111100111=≮⫘↔10110010011000","layer":0}]}
{"id":131,"expression_no_base_symbol":"(↓⇌((⨩∲⋌$1054$)⨲∙))⪛⫼($1528$⩦$7417$∙∹∝(⊥$1840$)⨵⪆(⊵⊁$7554$)⨔≚≋(⊽$2171$))","expression":"(↓⇌((⨩∲⋌≮⫘↔10000011110)⨲∙))⪛⫼(≮⫘↔10111111000⩦≮⫘↔1110011111001∙∹∝(⊥≮⫘↔11100110000)⨵⪆(⊵⊁≮⫘↔1110110000010)⨔≚≋(⊽≮⫘↔100001111011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22293,"operation_count":11,"complexity_ratio":2026.6363636363637,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1054,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1528,"base":2},"right_expr":{"type":"numeric_atoms","value":7417,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1840,"base":2}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":7554,"base":2}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2171,"base":2}}}}},"used_operators":["hyuBjUqXlG","PxpmPgHHJV","cRahaglYVE","aSik1wnThz","2DQ55sFlQl","HmxsFra2vL","0kmYd0q39Y","Q3PJZHRvZv","Z57zeUYC9z","AvED76WdY7","QxG7OkqoLX"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","fu6greOZ01","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","uBihLCJcMX","k8jYdgA6NY","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"≮⫘↔1111001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1577","layer":3},{"info":"compute unary expreesion, input=-1577, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":1},{"info":"number node, value=1528","layer":4},{"info":"number node, value=7417","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=7417, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3056","layer":3},{"info":"number node, value=1840","layer":4},{"info":"compute unary expreesion, input=1840, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3056, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=7554","layer":4},{"info":"compute unary expreesion, input=7554, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=44254","layer":3},{"info":"number node, value=2171","layer":4},{"info":"compute unary expreesion, input=2171, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=5864","layer":3},{"info":"compute binary expreesion, left_input=44254, right_input=5864, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9872, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":2,"result_base":2,"text":"(↓⇌((⨩∲⋌≮⫘↔10000011110)⨲∙))⪛⫼(≮⫘↔10111111000⩦≮⫘↔1110011111001∙∹∝(⊥≮⫘↔11100110000)⨵⪆(⊵⊁≮⫘↔1110110000010)⨔≚≋(⊽≮⫘↔100001111011))=≮⫘↔1111001000","reverse_text":"≮⫘↔1111001000=(↓⇌((⨩∲⋌≮⫘↔10000011110)⨲∙))⪛⫼(≮⫘↔10111111000⩦≮⫘↔1110011111001∙∹∝(⊥≮⫘↔11100110000)⨵⪆(⊵⊁≮⫘↔1110110000010)⨔≚≋(⊽≮⫘↔100001111011))","cot":[{"info":"⨩∲⋌≮⫘↔10000011110=≮⫘↔-11000101001","layer":3},{"info":"≮⫘↔-11000101001⨲∙=NaN","layer":2},{"info":"↓⇌NaN=NaN","layer":1},{"info":"≮⫘↔10111111000⩦≮⫘↔1110011111001=≮⫘↔101111110000","layer":3},{"info":"⊥≮⫘↔11100110000=NaN","layer":3},{"info":"≮⫘↔101111110000∙∹∝NaN=≮⫘↔0","layer":2},{"info":"⊵⊁≮⫘↔1110110000010=≮⫘↔1010110011011110","layer":3},{"info":"⊽≮⫘↔100001111011=≮⫘↔1011011101000","layer":3},{"info":"≮⫘↔1010110011011110⨔≚≋≮⫘↔1011011101000=≮⫘↔10011010010000","layer":2},{"info":"≮⫘↔0⨵⪆≮⫘↔10011010010000=≮⫘↔10100000","layer":1},{"info":"NaN⪛⫼≮⫘↔10100000=≮⫘↔1111001000","layer":0}]}
{"id":132,"expression_no_base_symbol":"((∮($1088$⋆⋳))≥⨤⩑($1090$↳∿⪆$5129$)⨂≜($6674$⨹))⊋≦⊧(($4961$≳⇉$6773$⨵⪆$2612$↹⊜$3808$)⫦⪉(($5220$⫲)⋷$1120$⨸$3275$))","expression":"((∮(≮⫘↔10001000000⋆⋳))≥⨤⩑(≮⫘↔10001000010↳∿⪆≮⫘↔1010000001001)⨂≜(≮⫘↔1101000010010⨹))⊋≦⊧((≮⫘↔1001101100001≳⇉≮⫘↔1101001110101⨵⪆≮⫘↔101000110100↹⊜≮⫘↔111011100000)⫦⪉((≮⫘↔1010001100100⫲)⋷≮⫘↔10001100000⨸≮⫘↔110011001011))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21162,"operation_count":14,"complexity_ratio":1511.5714285714287,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1088,"base":2}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1090,"base":2},"right_expr":{"type":"numeric_atoms","value":5129,"base":2}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":6674,"base":2}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4961,"base":2},"right_expr":{"type":"numeric_atoms","value":6773,"base":2}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2612,"base":2},"right_expr":{"type":"numeric_atoms","value":3808,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":5220,"base":2}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1120,"base":2},"right_expr":{"type":"numeric_atoms","value":3275,"base":2}}}}},"used_operators":["oRDoc9rAEX","gJLn6v0xnP","CqXKPLVYql","6MpZysEj17","k1SHOSEABc","Cw4SuJJGHO","UnCoSGIALn","wscyQdcy20","2DQ55sFlQl","V0kx6qeWkN","9bazX3JMtO","23Mk6UjR3U","9xnGDUPbC6","KmoU8R5UQR"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","mp7IySMOzn","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"≮⫘↔-1010111000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2208","layer":3},{"info":"compute unary expreesion, input=-2208, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-240344","layer":2},{"info":"number node, value=1090","layer":4},{"info":"number node, value=5129","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=5129, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=6674","layer":4},{"info":"compute unary expreesion, input=6674, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=13348","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13348, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-240344, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=4961","layer":4},{"info":"number node, value=6773","layer":4},{"info":"compute binary expreesion, left_input=4961, right_input=6773, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=2612","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=3808, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-10104","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10104, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5220","layer":4},{"info":"compute unary expreesion, input=5220, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=4947","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=3275, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2240","layer":3},{"info":"compute binary expreesion, left_input=4947, right_input=2240, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-467","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-467, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4580","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=4580, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-5574","layer":0}],"base":2,"result_base":2,"text":"((∮(≮⫘↔10001000000⋆⋳))≥⨤⩑(≮⫘↔10001000010↳∿⪆≮⫘↔1010000001001)⨂≜(≮⫘↔1101000010010⨹))⊋≦⊧((≮⫘↔1001101100001≳⇉≮⫘↔1101001110101⨵⪆≮⫘↔101000110100↹⊜≮⫘↔111011100000)⫦⪉((≮⫘↔1010001100100⫲)⋷≮⫘↔10001100000⨸≮⫘↔110011001011))=≮⫘↔-1010111000110","reverse_text":"≮⫘↔-1010111000110=((∮(≮⫘↔10001000000⋆⋳))≥⨤⩑(≮⫘↔10001000010↳∿⪆≮⫘↔1010000001001)⨂≜(≮⫘↔1101000010010⨹))⊋≦⊧((≮⫘↔1001101100001≳⇉≮⫘↔1101001110101⨵⪆≮⫘↔101000110100↹⊜≮⫘↔111011100000)⫦⪉((≮⫘↔1010001100100⫲)⋷≮⫘↔10001100000⨸≮⫘↔110011001011))","cot":[{"info":"≮⫘↔10001000000⋆⋳=≮⫘↔-100010100000","layer":3},{"info":"∮≮⫘↔-100010100000=≮⫘↔-111010101011011000","layer":2},{"info":"≮⫘↔10001000010↳∿⪆≮⫘↔1010000001001=NaN","layer":3},{"info":"≮⫘↔1101000010010⨹=≮⫘↔11010000100100","layer":3},{"info":"NaN⨂≜≮⫘↔11010000100100=NaN","layer":2},{"info":"≮⫘↔-111010101011011000≥⨤⩑NaN=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔1001101100001≳⇉≮⫘↔1101001110101=NaN","layer":3},{"info":"≮⫘↔101000110100↹⊜≮⫘↔111011100000=≮⫘↔-10011101111000","layer":3},{"info":"NaN⨵⪆≮⫘↔-10011101111000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1010001100100⫲=≮⫘↔1001101010011","layer":3},{"info":"≮⫘↔10001100000⨸≮⫘↔110011001011=≮⫘↔100011000000","layer":3},{"info":"≮⫘↔1001101010011⋷≮⫘↔100011000000=≮⫘↔-111010011","layer":2},{"info":"≮⫘↔10100000⫦⪉≮⫘↔-111010011=≮⫘↔1000111100100","layer":1},{"info":"≮⫘↔10011010010⊋≦⊧≮⫘↔1000111100100=≮⫘↔-1010111000110","layer":0}]}
{"id":133,"expression_no_base_symbol":"($3290$⩘$7948$↼⊘⨖($3960$≬⋮$3232$)⇮⋭$1170$⩌⋺$4464$⨻⩈⩔$1660$⇂≾⫗$6509$)⊊","expression":"(≮⫘↔110011011010⩘≮⫘↔1111100001100↼⊘⨖(≮⫘↔111101111000≬⋮≮⫘↔110010100000)⇮⋭≮⫘↔10010010010⩌⋺≮⫘↔1000101110000⨻⩈⩔≮⫘↔11001111100⇂≾⫗≮⫘↔1100101101101)⊊","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":526,"operation_count":8,"complexity_ratio":65.75,"tree":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3290,"base":2},"right_expr":{"type":"numeric_atoms","value":7948,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3960,"base":2},"right_expr":{"type":"numeric_atoms","value":3232,"base":2}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1170,"base":2},"right_expr":{"type":"numeric_atoms","value":4464,"base":2}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1660,"base":2},"right_expr":{"type":"numeric_atoms","value":6509,"base":2}}}}},"used_operators":["W9R8I5fN5A","vkpjKywKVM","bPywburJMS","cHh1gJQ2o6","kbkesczE7y","nEsXyWgiOK","g7Hmc5v1ko","aBQ6xLxuTc"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≮⫘↔10110001100101111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3290","layer":4},{"info":"number node, value=7948","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=7948, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3960","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=3232, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=868, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1514","layer":2},{"info":"number node, value=1170","layer":4},{"info":"number node, value=4464","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=4464, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5755","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=6509","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=6509, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-5755, right_input=-676, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=1514, right_input=-174, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110011011010⩘≮⫘↔1111100001100↼⊘⨖(≮⫘↔111101111000≬⋮≮⫘↔110010100000)⇮⋭≮⫘↔10010010010⩌⋺≮⫘↔1000101110000⨻⩈⩔≮⫘↔11001111100⇂≾⫗≮⫘↔1100101101101)⊊=≮⫘↔10110001100101111","reverse_text":"≮⫘↔10110001100101111=(≮⫘↔110011011010⩘≮⫘↔1111100001100↼⊘⨖(≮⫘↔111101111000≬⋮≮⫘↔110010100000)⇮⋭≮⫘↔10010010010⩌⋺≮⫘↔1000101110000⨻⩈⩔≮⫘↔11001111100⇂≾⫗≮⫘↔1100101101101)⊊","cot":[{"info":"≮⫘↔110011011010⩘≮⫘↔1111100001100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔111101111000≬⋮≮⫘↔110010100000=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔10100000↼⊘⨖≮⫘↔1101100100=≮⫘↔10111101010","layer":2},{"info":"≮⫘↔10010010010⩌⋺≮⫘↔1000101110000=≮⫘↔-1011001111011","layer":3},{"info":"≮⫘↔11001111100⇂≾⫗≮⫘↔1100101101101=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔-1011001111011⨻⩈⩔≮⫘↔-1010100100=≮⫘↔-10101110","layer":2},{"info":"≮⫘↔10111101010⇮⋭≮⫘↔-10101110=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000011⊊=≮⫘↔10110001100101111","layer":0}]}
{"id":134,"expression_no_base_symbol":"($1598$⫳≱↱$1152$)⇡⇂(⨈⫕$2973$)⇂≾⫗($3746$≄⊠$1041$⨸⪁$1739$↤⩊$3554$)≎⊠⪸($3011$∇⊂⋱$2475$)⫘($6268$≀⫉$2000$)⪛((⇘$1209$)⨻⩈⩔(≸$2334$))","expression":"(≮⫘↔11000111110⫳≱↱≮⫘↔10010000000)⇡⇂(⨈⫕≮⫘↔101110011101)⇂≾⫗(≮⫘↔111010100010≄⊠≮⫘↔10000010001⨸⪁≮⫘↔11011001011↤⩊≮⫘↔110111100010)≎⊠⪸(≮⫘↔101111000011∇⊂⋱≮⫘↔100110101011)⫘(≮⫘↔1100001111100≀⫉≮⫘↔11111010000)⪛((⇘≮⫘↔10010111001)⨻⩈⩔(≸≮⫘↔100100011110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":53819,"operation_count":15,"complexity_ratio":3587.9333333333334,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1598,"base":2},"right_expr":{"type":"numeric_atoms","value":1152,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2973,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3746,"base":2},"right_expr":{"type":"numeric_atoms","value":1041,"base":2}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1739,"base":2},"right_expr":{"type":"numeric_atoms","value":3554,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3011,"base":2},"right_expr":{"type":"numeric_atoms","value":2475,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6268,"base":2},"right_expr":{"type":"numeric_atoms","value":2000,"base":2}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1209,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2334,"base":2}}}}},"used_operators":["bJkvcejdHO","aBQ6xLxuTc","UMwdvZNt44","ZvLB05nZmT","megm06wKyl","g55IO6H4Gj","vXNesLlMH1","13rbtpv6ld","uFcxV4UQCh","48vC8HMD2b","nhYeJWJD5X","oZj3VtZNQx","nEsXyWgiOK","MGuIdZPyUC","eOf03JbCpp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1598","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1152, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2973","layer":4},{"info":"compute unary expreesion, input=2973, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-21, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-201","layer":2},{"info":"number node, value=3746","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=3746, right_input=1041, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=21324","layer":3},{"info":"number node, value=1739","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=3554, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=21324, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-201, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"number node, value=3011","layer":4},{"info":"number node, value=2475","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=2475, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5476","layer":3},{"info":"number node, value=6268","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=6268, right_input=2000, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=5476, right_input=2822, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6444181","layer":2},{"info":"number node, value=1209","layer":4},{"info":"compute unary expreesion, input=1209, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=66922","layer":3},{"info":"number node, value=2334","layer":4},{"info":"compute unary expreesion, input=2334, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=66922, right_input=58, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=526975","layer":2},{"info":"compute binary expreesion, left_input=6444181, right_input=526975, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=120481","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=120481, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11000111110⫳≱↱≮⫘↔10010000000)⇡⇂(⨈⫕≮⫘↔101110011101)⇂≾⫗(≮⫘↔111010100010≄⊠≮⫘↔10000010001⨸⪁≮⫘↔11011001011↤⩊≮⫘↔110111100010)≎⊠⪸(≮⫘↔101111000011∇⊂⋱≮⫘↔100110101011)⫘(≮⫘↔1100001111100≀⫉≮⫘↔11111010000)⪛((⇘≮⫘↔10010111001)⨻⩈⩔(≸≮⫘↔100100011110))=NaN","reverse_text":"NaN=(≮⫘↔11000111110⫳≱↱≮⫘↔10010000000)⇡⇂(⨈⫕≮⫘↔101110011101)⇂≾⫗(≮⫘↔111010100010≄⊠≮⫘↔10000010001⨸⪁≮⫘↔11011001011↤⩊≮⫘↔110111100010)≎⊠⪸(≮⫘↔101111000011∇⊂⋱≮⫘↔100110101011)⫘(≮⫘↔1100001111100≀⫉≮⫘↔11111010000)⪛((⇘≮⫘↔10010111001)⨻⩈⩔(≸≮⫘↔100100011110))","cot":[{"info":"≮⫘↔11000111110⫳≱↱≮⫘↔10010000000=≮⫘↔-11001100","layer":3},{"info":"⨈⫕≮⫘↔101110011101=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-11001100⇡⇂≮⫘↔-10101=≮⫘↔-11001001","layer":2},{"info":"≮⫘↔111010100010≄⊠≮⫘↔10000010001=≮⫘↔101001101001100","layer":3},{"info":"≮⫘↔11011001011↤⩊≮⫘↔110111100010=NaN","layer":3},{"info":"≮⫘↔101001101001100⨸⪁NaN=NaN","layer":2},{"info":"≮⫘↔-11001001⇂≾⫗NaN=NaN","layer":1},{"info":"≮⫘↔101111000011∇⊂⋱≮⫘↔100110101011=≮⫘↔1010101100100","layer":3},{"info":"≮⫘↔1100001111100≀⫉≮⫘↔11111010000=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔1010101100100⫘≮⫘↔101100000110=≮⫘↔11000100101010010010101","layer":2},{"info":"⇘≮⫘↔10010111001=≮⫘↔10000010101101010","layer":3},{"info":"≸≮⫘↔100100011110=≮⫘↔111010","layer":3},{"info":"≮⫘↔10000010101101010⨻⩈⩔≮⫘↔111010=≮⫘↔10000000101001111111","layer":2},{"info":"≮⫘↔11000100101010010010101⪛≮⫘↔10000000101001111111=≮⫘↔11101011010100001","layer":1},{"info":"NaN≎⊠⪸≮⫘↔11101011010100001=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"($5561$⫚↹⊑$1741$⫚↹⊑($1802$∛≔))⫘((⪝⪂⫅$8007$)∪⫐$1399$⫦⪉$2636$)⫌⩉⩟$1425$⪒⊣⊆$1717$⋥⋵⩄($2074$↙$2237$)∼(($2197$⨉)⇀∌)","expression":"(≮⫘↔1010110111001⫚↹⊑≮⫘↔11011001101⫚↹⊑(≮⫘↔11100001010∛≔))⫘((⪝⪂⫅≮⫘↔1111101000111)∪⫐≮⫘↔10101110111⫦⪉≮⫘↔101001001100)⫌⩉⩟≮⫘↔10110010001⪒⊣⊆≮⫘↔11010110101⋥⋵⩄(≮⫘↔100000011010↙≮⫘↔100010111101)∼((≮⫘↔100010010101⨉)⇀∌)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16575,"operation_count":14,"complexity_ratio":1183.9285714285713,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5561,"base":2},"right_expr":{"type":"numeric_atoms","value":1741,"base":2}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1802,"base":2}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":8007,"base":2}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1399,"base":2},"right_expr":{"type":"numeric_atoms","value":2636,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1425,"base":2},"right_expr":{"type":"numeric_atoms","value":1717,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2074,"base":2},"right_expr":{"type":"numeric_atoms","value":2237,"base":2}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":2197,"base":2}}}}},"used_operators":["XIIwhv8d0m","48vC8HMD2b","dfKe02y8D2","mGnSCrte3L","7YooWSwCyH","XTarYq4gQB","wscyQdcy20","DyGG3AbaNP","7t3wd0Fuz7","eRqsBgTDFp","yyfyN0ffXY","2k53nXOpI5","aMUSaJuDRU"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rJVOvQCfKK","2DDjHMKMc0","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","sdazOOVcIp","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"≮⫘↔-110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5561","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=5561, right_input=1741, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-361730509","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-361730509, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=8007","layer":4},{"info":"compute unary expreesion, input=8007, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1177029","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=2636, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2102","layer":3},{"info":"compute binary expreesion, left_input=-1177029, right_input=2102, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-1177029","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-1177029, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=530077","layer":1},{"info":"number node, value=1425","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=1717, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2850","layer":3},{"info":"number node, value=2074","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=2237, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6711","layer":3},{"info":"compute binary expreesion, left_input=2850, right_input=-6711, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=59866","layer":2},{"info":"number node, value=2197","layer":4},{"info":"compute unary expreesion, input=2197, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=6722","layer":3},{"info":"compute unary expreesion, input=6722, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=59866, right_input=113, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=530077, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010110111001⫚↹⊑≮⫘↔11011001101⫚↹⊑(≮⫘↔11100001010∛≔))⫘((⪝⪂⫅≮⫘↔1111101000111)∪⫐≮⫘↔10101110111⫦⪉≮⫘↔101001001100)⫌⩉⩟≮⫘↔10110010001⪒⊣⊆≮⫘↔11010110101⋥⋵⩄(≮⫘↔100000011010↙≮⫘↔100010111101)∼((≮⫘↔100010010101⨉)⇀∌)=≮⫘↔-110010","reverse_text":"≮⫘↔-110010=(≮⫘↔1010110111001⫚↹⊑≮⫘↔11011001101⫚↹⊑(≮⫘↔11100001010∛≔))⫘((⪝⪂⫅≮⫘↔1111101000111)∪⫐≮⫘↔10101110111⫦⪉≮⫘↔101001001100)⫌⩉⩟≮⫘↔10110010001⪒⊣⊆≮⫘↔11010110101⋥⋵⩄(≮⫘↔100000011010↙≮⫘↔100010111101)∼((≮⫘↔100010010101⨉)⇀∌)","cot":[{"info":"≮⫘↔1010110111001⫚↹⊑≮⫘↔11011001101=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔11100001010∛≔=≮⫘↔-10101100011111001000111001101","layer":3},{"info":"≮⫘↔-110111111⫚↹⊑≮⫘↔-10101100011111001000111001101=≮⫘↔-110111111","layer":2},{"info":"⪝⪂⫅≮⫘↔1111101000111=≮⫘↔-100011111010111000101","layer":3},{"info":"≮⫘↔10101110111⫦⪉≮⫘↔101001001100=≮⫘↔100000110110","layer":3},{"info":"≮⫘↔-100011111010111000101∪⫐≮⫘↔100000110110=≮⫘↔-100011111010111000101","layer":2},{"info":"≮⫘↔-110111111⫘≮⫘↔-100011111010111000101=≮⫘↔10000001011010011101","layer":1},{"info":"≮⫘↔10110010001⪒⊣⊆≮⫘↔11010110101=≮⫘↔101100100010","layer":3},{"info":"≮⫘↔100000011010↙≮⫘↔100010111101=≮⫘↔-1101000110111","layer":3},{"info":"≮⫘↔101100100010⋥⋵⩄≮⫘↔-1101000110111=≮⫘↔1110100111011010","layer":2},{"info":"≮⫘↔100010010101⨉=≮⫘↔1101001000010","layer":3},{"info":"≮⫘↔1101001000010⇀∌=≮⫘↔1110001","layer":2},{"info":"≮⫘↔1110100111011010∼≮⫘↔1110001=≮⫘↔0","layer":1},{"info":"≮⫘↔10000001011010011101⫌⩉⩟≮⫘↔0=≮⫘↔-110010","layer":0}]}
{"id":136,"expression_no_base_symbol":"(($1159$⨟⋌⩍$4259$)⊴$5203$≁↽≥$2134$≚⊃≕($9056$⊴$2488$)⩌⋺($3703$⇮⋭$1018$))⨸((⇾⩊⇾$3641$)∥⊢⊲($2647$⩺⋐⫨)⨚⇆($4084$⪃⊛⇣$1831$)⇡⇂($3045$⪘⨀))","expression":"((≮⫘↔10010000111⨟⋌⩍≮⫘↔1000010100011)⊴≮⫘↔1010001010011≁↽≥≮⫘↔100001010110≚⊃≕(≮⫘↔10001101100000⊴≮⫘↔100110111000)⩌⋺(≮⫘↔111001110111⇮⋭≮⫘↔1111111010))⨸((⇾⩊⇾≮⫘↔111000111001)∥⊢⊲(≮⫘↔101001010111⩺⋐⫨)⨚⇆(≮⫘↔111111110100⪃⊛⇣≮⫘↔11100100111)⇡⇂(≮⫘↔101111100101⪘⨀))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":115609,"operation_count":15,"complexity_ratio":7707.266666666666,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1159,"base":2},"right_expr":{"type":"numeric_atoms","value":4259,"base":2}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5203,"base":2},"right_expr":{"type":"numeric_atoms","value":2134,"base":2}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":9056,"base":2},"right_expr":{"type":"numeric_atoms","value":2488,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3703,"base":2},"right_expr":{"type":"numeric_atoms","value":1018,"base":2}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3641,"base":2}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":2647,"base":2}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4084,"base":2},"right_expr":{"type":"numeric_atoms","value":1831,"base":2}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":3045,"base":2}}}}},"used_operators":["KmoU8R5UQR","Bmrmz2XGnR","Nsiff2A1zJ","rGHVDoGpnC","ncHt1X6cMc","g7Hmc5v1ko","vkpjKywKVM","lwHaAYXP2r","v1UQAVDJRr","bx9Z9DAK5y","yS9ePUuUdn","UMwdvZNt44","rrgAzCduG9","aA7tF3KVD3"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1159","layer":4},{"info":"number node, value=4259","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=4259, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5203","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=2134, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=73215","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=73215, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=9056","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=9056, right_input=2488, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3703","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=3703, right_input=1018, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":1},{"info":"number node, value=3641","layer":4},{"info":"compute unary expreesion, input=3641, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-39255","layer":3},{"info":"number node, value=2647","layer":4},{"info":"compute unary expreesion, input=2647, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-39255, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"number node, value=4084","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=4084, right_input=1831, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=3045","layer":4},{"info":"compute unary expreesion, input=3045, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-6671","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-6671, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010000111⨟⋌⩍≮⫘↔1000010100011)⊴≮⫘↔1010001010011≁↽≥≮⫘↔100001010110≚⊃≕(≮⫘↔10001101100000⊴≮⫘↔100110111000)⩌⋺(≮⫘↔111001110111⇮⋭≮⫘↔1111111010))⨸((⇾⩊⇾≮⫘↔111000111001)∥⊢⊲(≮⫘↔101001010111⩺⋐⫨)⨚⇆(≮⫘↔111111110100⪃⊛⇣≮⫘↔11100100111)⇡⇂(≮⫘↔101111100101⪘⨀))=NaN","reverse_text":"NaN=((≮⫘↔10010000111⨟⋌⩍≮⫘↔1000010100011)⊴≮⫘↔1010001010011≁↽≥≮⫘↔100001010110≚⊃≕(≮⫘↔10001101100000⊴≮⫘↔100110111000)⩌⋺(≮⫘↔111001110111⇮⋭≮⫘↔1111111010))⨸((⇾⩊⇾≮⫘↔111000111001)∥⊢⊲(≮⫘↔101001010111⩺⋐⫨)⨚⇆(≮⫘↔111111110100⪃⊛⇣≮⫘↔11100100111)⇡⇂(≮⫘↔101111100101⪘⨀))","cot":[{"info":"≮⫘↔10010000111⨟⋌⩍≮⫘↔1000010100011=NaN","layer":3},{"info":"≮⫘↔1010001010011≁↽≥≮⫘↔100001010110=≮⫘↔10001110111111111","layer":3},{"info":"NaN⊴≮⫘↔10001110111111111=NaN","layer":2},{"info":"≮⫘↔10001101100000⊴≮⫘↔100110111000=NaN","layer":3},{"info":"≮⫘↔111001110111⇮⋭≮⫘↔1111111010=≮⫘↔-111011001","layer":3},{"info":"NaN⩌⋺≮⫘↔-111011001=NaN","layer":2},{"info":"NaN≚⊃≕NaN=NaN","layer":1},{"info":"⇾⩊⇾≮⫘↔111000111001=≮⫘↔-1001100101010111","layer":3},{"info":"≮⫘↔101001010111⩺⋐⫨=≮⫘↔0","layer":3},{"info":"≮⫘↔-1001100101010111∥⊢⊲≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔111111110100⪃⊛⇣≮⫘↔11100100111=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔101111100101⪘⨀=≮⫘↔-1101000001111","layer":3},{"info":"≮⫘↔10011010010⇡⇂≮⫘↔-1101000001111=NaN","layer":2},{"info":"≮⫘↔0⨚⇆NaN=-Inf","layer":1},{"info":"NaN⨸-Inf=NaN","layer":0}]}
{"id":137,"expression_no_base_symbol":"(+⊝⨔(≪$3646$)⪟⇏(≉$2348$))⇡","expression":"(+⊝⨔(≪≮⫘↔111000111110)⪟⇏(≉≮⫘↔100100101100))⇡","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":162,"operation_count":5,"complexity_ratio":32.4,"tree":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3646,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2348,"base":2}}}}},"used_operators":["UqFzSgLMvQ","DhbWaqg5eL","GODebY97qR","Qtd6bqUJcN","e1ybzncUwg"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-101101100101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3646","layer":4},{"info":"compute unary expreesion, input=3646, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=2348","layer":4},{"info":"compute unary expreesion, input=2348, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2879","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=2879, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔(≪≮⫘↔111000111110)⪟⇏(≉≮⫘↔100100101100))⇡=≮⫘↔-101101100101","reverse_text":"≮⫘↔-101101100101=(+⊝⨔(≪≮⫘↔111000111110)⪟⇏(≉≮⫘↔100100101100))⇡","cot":[{"info":"≪≮⫘↔111000111110=≮⫘↔1110010001","layer":3},{"info":"≉≮⫘↔100100101100=≮⫘↔101100111111","layer":3},{"info":"≮⫘↔1110010001⪟⇏≮⫘↔101100111111=≮⫘↔-1","layer":2},{"info":"+⊝⨔≮⫘↔-1=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔10111110010⇡=≮⫘↔-101101100101","layer":0}]}
{"id":138,"expression_no_base_symbol":"((∓⪦($5177$⪕$1675$))⩒⫫(↸⊣$4942$⫘$5026$))∋($4428$⪕$3853$∕⩚$4502$⪕$1503$)⩦(⇤←(⩪∧⨌$5089$))","expression":"((∓⪦(≮⫘↔1010000111001⪕≮⫘↔11010001011))⩒⫫(↸⊣≮⫘↔1001101001110⫘≮⫘↔1001110100010))∋(≮⫘↔1000101001100⪕≮⫘↔111100001101∕⩚≮⫘↔1000110010110⪕≮⫘↔10111011111)⩦(⇤←(⩪∧⨌≮⫘↔1001111100001))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11359,"operation_count":12,"complexity_ratio":946.5833333333334,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":5177,"base":2},"right_expr":{"type":"numeric_atoms","value":1675,"base":2}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4942,"base":2},"right_expr":{"type":"numeric_atoms","value":5026,"base":2}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4428,"base":2},"right_expr":{"type":"numeric_atoms","value":3853,"base":2}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4502,"base":2},"right_expr":{"type":"numeric_atoms","value":1503,"base":2}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":5089,"base":2}}}}},"used_operators":["ukq6epAj5P","KFSx94NKJn","D309nIvmXG","umQnsF7QlU","wztAlM01eG","48vC8HMD2b","0kmYd0q39Y","z9ffQ9n5Zr","jfAgQ2OQeM","6iOiAJX1F8"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"≮⫘↔1110101101000100110111001111000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5177","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=5177, right_input=1675, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9580","layer":3},{"info":"compute unary expreesion, input=9580, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=9172","layer":2},{"info":"number node, value=4942","layer":4},{"info":"number node, value=5026","layer":4},{"info":"compute binary expreesion, left_input=4942, right_input=5026, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5816197","layer":3},{"info":"compute unary expreesion, input=5816197, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-5815910","layer":2},{"info":"compute binary expreesion, left_input=9172, right_input=-5815910, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=8870","layer":1},{"info":"number node, value=4428","layer":4},{"info":"number node, value=3853","layer":4},{"info":"compute binary expreesion, left_input=4428, right_input=3853, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=5904","layer":3},{"info":"number node, value=4502","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=4502, right_input=1503, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8402","layer":3},{"info":"compute binary expreesion, left_input=5904, right_input=8402, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5907","layer":2},{"info":"number node, value=5089","layer":4},{"info":"compute unary expreesion, input=5089, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=50890","layer":3},{"info":"compute unary expreesion, input=50890, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-253084","layer":2},{"info":"compute binary expreesion, left_input=-5907, right_input=-253084, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=952303","layer":1},{"info":"compute binary expreesion, left_input=8870, right_input=952303, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=1973579384","layer":0}],"base":2,"result_base":2,"text":"((∓⪦(≮⫘↔1010000111001⪕≮⫘↔11010001011))⩒⫫(↸⊣≮⫘↔1001101001110⫘≮⫘↔1001110100010))∋(≮⫘↔1000101001100⪕≮⫘↔111100001101∕⩚≮⫘↔1000110010110⪕≮⫘↔10111011111)⩦(⇤←(⩪∧⨌≮⫘↔1001111100001))=≮⫘↔1110101101000100110111001111000","reverse_text":"≮⫘↔1110101101000100110111001111000=((∓⪦(≮⫘↔1010000111001⪕≮⫘↔11010001011))⩒⫫(↸⊣≮⫘↔1001101001110⫘≮⫘↔1001110100010))∋(≮⫘↔1000101001100⪕≮⫘↔111100001101∕⩚≮⫘↔1000110010110⪕≮⫘↔10111011111)⩦(⇤←(⩪∧⨌≮⫘↔1001111100001))","cot":[{"info":"≮⫘↔1010000111001⪕≮⫘↔11010001011=≮⫘↔10010101101100","layer":3},{"info":"∓⪦≮⫘↔10010101101100=≮⫘↔10001111010100","layer":2},{"info":"≮⫘↔1001101001110⫘≮⫘↔1001110100010=≮⫘↔10110001011111110000101","layer":3},{"info":"↸⊣≮⫘↔10110001011111110000101=≮⫘↔-10110001011111001100110","layer":2},{"info":"≮⫘↔10001111010100⩒⫫≮⫘↔-10110001011111001100110=≮⫘↔10001010100110","layer":1},{"info":"≮⫘↔1000101001100⪕≮⫘↔111100001101=≮⫘↔1011100010000","layer":3},{"info":"≮⫘↔1000110010110⪕≮⫘↔10111011111=≮⫘↔10000011010010","layer":3},{"info":"≮⫘↔1011100010000∕⩚≮⫘↔10000011010010=≮⫘↔-1011100010011","layer":2},{"info":"⩪∧⨌≮⫘↔1001111100001=≮⫘↔1100011011001010","layer":3},{"info":"⇤←≮⫘↔1100011011001010=≮⫘↔-111101110010011100","layer":2},{"info":"≮⫘↔-1011100010011⩦≮⫘↔-111101110010011100=≮⫘↔11101000011111101111","layer":1},{"info":"≮⫘↔10001010100110∋≮⫘↔11101000011111101111=≮⫘↔1110101101000100110111001111000","layer":0}]}
{"id":139,"expression_no_base_symbol":"(≇⪴(≤/($1461$⨕⋳)))∙∹∝(($2689$⋻⩜⩜$3167$)≚⊃≕$1509$⩼⇪↪$6138$)⊋($1177$⨎$2896$)↞⋁(∤$1762$)","expression":"(≇⪴(≤/(≮⫘↔10110110101⨕⋳)))∙∹∝((≮⫘↔101010000001⋻⩜⩜≮⫘↔110001011111)≚⊃≕≮⫘↔10111100101⩼⇪↪≮⫘↔1011111111010)⊋(≮⫘↔10010011001⨎≮⫘↔101101010000)↞⋁(∤≮⫘↔11011100010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":44711,"operation_count":11,"complexity_ratio":4064.6363636363635,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1461,"base":2}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2689,"base":2},"right_expr":{"type":"numeric_atoms","value":3167,"base":2}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1509,"base":2},"right_expr":{"type":"numeric_atoms","value":6138,"base":2}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1177,"base":2},"right_expr":{"type":"numeric_atoms","value":2896,"base":2}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1762,"base":2}}}}},"used_operators":["HmxsFra2vL","zoVPnxeHJ3","eLAdDNolq6","4X4GscPmMf","W4tP9CfskL","Bmrmz2XGnR","oDCm7WA9JY","ocnLzx9CaJ","RqrPlJkxDo","rJVOvQCfKK","k2HlF1dBQh"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"compute unary expreesion, input=1461, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=48196","layer":3},{"info":"compute unary expreesion, input=48196, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-47712","layer":2},{"info":"compute unary expreesion, input=-47712, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-190848","layer":1},{"info":"number node, value=2689","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=3167, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5378","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=6138","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=6138, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-40731","layer":3},{"info":"compute binary expreesion, left_input=5378, right_input=-40731, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-60116","layer":2},{"info":"number node, value=1177","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=2896, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2896","layer":3},{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=2896, right_input=9, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-60116, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-190848, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≇⪴(≤/(≮⫘↔10110110101⨕⋳)))∙∹∝((≮⫘↔101010000001⋻⩜⩜≮⫘↔110001011111)≚⊃≕≮⫘↔10111100101⩼⇪↪≮⫘↔1011111111010)⊋(≮⫘↔10010011001⨎≮⫘↔101101010000)↞⋁(∤≮⫘↔11011100010)=≮⫘↔0","reverse_text":"≮⫘↔0=(≇⪴(≤/(≮⫘↔10110110101⨕⋳)))∙∹∝((≮⫘↔101010000001⋻⩜⩜≮⫘↔110001011111)≚⊃≕≮⫘↔10111100101⩼⇪↪≮⫘↔1011111111010)⊋(≮⫘↔10010011001⨎≮⫘↔101101010000)↞⋁(∤≮⫘↔11011100010)","cot":[{"info":"≮⫘↔10110110101⨕⋳=≮⫘↔1011110001000100","layer":3},{"info":"≤/≮⫘↔1011110001000100=≮⫘↔-1011101001100000","layer":2},{"info":"≇⪴≮⫘↔-1011101001100000=≮⫘↔-101110100110000000","layer":1},{"info":"≮⫘↔101010000001⋻⩜⩜≮⫘↔110001011111=≮⫘↔1010100000010","layer":3},{"info":"≮⫘↔10111100101⩼⇪↪≮⫘↔1011111111010=≮⫘↔-1001111100011011","layer":3},{"info":"≮⫘↔1010100000010≚⊃≕≮⫘↔-1001111100011011=≮⫘↔-1110101011010100","layer":2},{"info":"≮⫘↔10010011001⨎≮⫘↔101101010000=≮⫘↔101101010000","layer":3},{"info":"∤≮⫘↔11011100010=≮⫘↔1001","layer":3},{"info":"≮⫘↔101101010000↞⋁≮⫘↔1001=NaN","layer":2},{"info":"≮⫘↔-1110101011010100⊋NaN=NaN","layer":1},{"info":"≮⫘↔-101110100110000000∙∹∝NaN=≮⫘↔0","layer":0}]}
{"id":140,"expression_no_base_symbol":"((⩰$6118$≨$4235$)⩷∴$6877$⨼⩣$1397$∛(⇤←$2423$))∴(↥(⨂⪏⇭$5063$)⊉↱≁($1656$∕⩚$2499$))","expression":"((⩰≮⫘↔1011111100110≨≮⫘↔1000010001011)⩷∴≮⫘↔1101011011101⨼⩣≮⫘↔10101110101∛(⇤←≮⫘↔100101110111))∴(↥(⨂⪏⇭≮⫘↔1001111000111)⊉↱≁(≮⫘↔11001111000∕⩚≮⫘↔100111000011))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5269,"operation_count":11,"complexity_ratio":479.0,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6118,"base":2},"right_expr":{"type":"numeric_atoms","value":4235,"base":2}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":6877,"base":2},"right_expr":{"type":"numeric_atoms","value":1397,"base":2}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2423,"base":2}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":5063,"base":2}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1656,"base":2},"right_expr":{"type":"numeric_atoms","value":2499,"base":2}}}}},"used_operators":["hrf7POJlIJ","9FxExcQeMw","WkeUrDK8WX","0KMCeP1Jsh","w2537kitQq","JxwMv5le6e","jfAgQ2OQeM","A8NUZmVepG","w2P8NbNXyL","AYdpE9sXAk","z9ffQ9n5Zr"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"≮⫘↔1110010000000000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6118","layer":4},{"info":"number node, value=4235","layer":4},{"info":"compute binary expreesion, left_input=6118, right_input=4235, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-58704","layer":3},{"info":"compute unary expreesion, input=-58704, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=116408","layer":2},{"info":"number node, value=6877","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=6877, right_input=1397, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2423","layer":4},{"info":"compute unary expreesion, input=2423, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-10749","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10749, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=116408, right_input=67, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=232650","layer":1},{"info":"number node, value=5063","layer":4},{"info":"compute unary expreesion, input=5063, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=14210","layer":3},{"info":"number node, value=1656","layer":4},{"info":"number node, value=2499","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=2499, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1659","layer":3},{"info":"compute binary expreesion, left_input=14210, right_input=-1659, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=152002","layer":2},{"info":"compute unary expreesion, input=152002, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":1},{"info":"compute binary expreesion, left_input=232650, right_input=22, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=466948","layer":0}],"base":2,"result_base":2,"text":"((⩰≮⫘↔1011111100110≨≮⫘↔1000010001011)⩷∴≮⫘↔1101011011101⨼⩣≮⫘↔10101110101∛(⇤←≮⫘↔100101110111))∴(↥(⨂⪏⇭≮⫘↔1001111000111)⊉↱≁(≮⫘↔11001111000∕⩚≮⫘↔100111000011))=≮⫘↔1110010000000000100","reverse_text":"≮⫘↔1110010000000000100=((⩰≮⫘↔1011111100110≨≮⫘↔1000010001011)⩷∴≮⫘↔1101011011101⨼⩣≮⫘↔10101110101∛(⇤←≮⫘↔100101110111))∴(↥(⨂⪏⇭≮⫘↔1001111000111)⊉↱≁(≮⫘↔11001111000∕⩚≮⫘↔100111000011))","cot":[{"info":"≮⫘↔1011111100110≨≮⫘↔1000010001011=≮⫘↔-1110010101010000","layer":3},{"info":"⩰≮⫘↔-1110010101010000=≮⫘↔11100011010111000","layer":2},{"info":"≮⫘↔1101011011101⨼⩣≮⫘↔10101110101=NaN","layer":3},{"info":"⇤←≮⫘↔100101110111=≮⫘↔-10100111111101","layer":3},{"info":"NaN∛≮⫘↔-10100111111101=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11100011010111000⩷∴≮⫘↔1000011=≮⫘↔111000110011001010","layer":1},{"info":"⨂⪏⇭≮⫘↔1001111000111=≮⫘↔11011110000010","layer":3},{"info":"≮⫘↔11001111000∕⩚≮⫘↔100111000011=≮⫘↔-11001111011","layer":3},{"info":"≮⫘↔11011110000010⊉↱≁≮⫘↔-11001111011=≮⫘↔100101000111000010","layer":2},{"info":"↥≮⫘↔100101000111000010=≮⫘↔10110","layer":1},{"info":"≮⫘↔111000110011001010∴≮⫘↔10110=≮⫘↔1110010000000000100","layer":0}]}
{"id":141,"expression_no_base_symbol":"($1144$⫣⪄⊒$5570$↼⊘⨖(⨭⩧⫛$4427$)⩚⊴⇥($2643$⪭$4098$∲⫓($1054$⩅⪻⪻)))≹⇙⪍(($3623$⪗)→⨶⪴$2916$⪪$3742$)⫁⪎($5258$⨹)⩁⩘$4318$∳⫺$6560$","expression":"(≮⫘↔10001111000⫣⪄⊒≮⫘↔1010111000010↼⊘⨖(⨭⩧⫛≮⫘↔1000101001011)⩚⊴⇥(≮⫘↔101001010011⪭≮⫘↔1000000000010∲⫓(≮⫘↔10000011110⩅⪻⪻)))≹⇙⪍((≮⫘↔111000100111⪗)→⨶⪴≮⫘↔101101100100⪪≮⫘↔111010011110)⫁⪎(≮⫘↔1010010001010⨹)⩁⩘≮⫘↔1000011011110∳⫺≮⫘↔1100110100000","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16077,"operation_count":15,"complexity_ratio":1071.8,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1144,"base":2},"right_expr":{"type":"numeric_atoms","value":5570,"base":2}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":4427,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2643,"base":2},"right_expr":{"type":"numeric_atoms","value":4098,"base":2}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1054,"base":2}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":3623,"base":2}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2916,"base":2},"right_expr":{"type":"numeric_atoms","value":3742,"base":2}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":5258,"base":2}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4318,"base":2},"right_expr":{"type":"numeric_atoms","value":6560,"base":2}}}}},"used_operators":["AHs5Up7iyr","NTOWxs364D","bPywburJMS","RabNbG55vr","g21JL6JxX7","i8ToyICDmI","j9kHMeSvPp","kHoXpA7yos","xRrnTEsQ6j","bF6eod5Gvf","VEQNXA0ZBg","xD69zh8xqp","gub5Cegaqo","UnCoSGIALn","AzXXKTstlj"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw","dWAJyo7jo9","FU0Cs4j7VP","JclMnS0uGI","DpFCA1CohY","IWmyXbctLI","mp7IySMOzn","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1144","layer":4},{"info":"number node, value=5570","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=5570, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-31644","layer":3},{"info":"number node, value=4427","layer":4},{"info":"compute unary expreesion, input=4427, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-31644, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"number node, value=2643","layer":4},{"info":"number node, value=4098","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=4098, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-155417","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-155417, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3623","layer":4},{"info":"compute unary expreesion, input=3623, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2916","layer":4},{"info":"number node, value=3742","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=3742, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-436405","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-436405, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"number node, value=5258","layer":4},{"info":"compute unary expreesion, input=5258, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=10516","layer":3},{"info":"number node, value=4318","layer":4},{"info":"number node, value=6560","layer":4},{"info":"compute binary expreesion, left_input=4318, right_input=6560, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=10516, right_input=-260, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-92","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-92, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001111000⫣⪄⊒≮⫘↔1010111000010↼⊘⨖(⨭⩧⫛≮⫘↔1000101001011)⩚⊴⇥(≮⫘↔101001010011⪭≮⫘↔1000000000010∲⫓(≮⫘↔10000011110⩅⪻⪻)))≹⇙⪍((≮⫘↔111000100111⪗)→⨶⪴≮⫘↔101101100100⪪≮⫘↔111010011110)⫁⪎(≮⫘↔1010010001010⨹)⩁⩘≮⫘↔1000011011110∳⫺≮⫘↔1100110100000=NaN","reverse_text":"NaN=(≮⫘↔10001111000⫣⪄⊒≮⫘↔1010111000010↼⊘⨖(⨭⩧⫛≮⫘↔1000101001011)⩚⊴⇥(≮⫘↔101001010011⪭≮⫘↔1000000000010∲⫓(≮⫘↔10000011110⩅⪻⪻)))≹⇙⪍((≮⫘↔111000100111⪗)→⨶⪴≮⫘↔101101100100⪪≮⫘↔111010011110)⫁⪎(≮⫘↔1010010001010⨹)⩁⩘≮⫘↔1000011011110∳⫺≮⫘↔1100110100000","cot":[{"info":"≮⫘↔10001111000⫣⪄⊒≮⫘↔1010111000010=≮⫘↔-111101110011100","layer":3},{"info":"⨭⩧⫛≮⫘↔1000101001011=NaN","layer":3},{"info":"≮⫘↔-111101110011100↼⊘⨖NaN=NaN","layer":2},{"info":"≮⫘↔101001010011⪭≮⫘↔1000000000010=≮⫘↔101","layer":3},{"info":"≮⫘↔10000011110⩅⪻⪻=≮⫘↔-100101111100011001","layer":3},{"info":"≮⫘↔101∲⫓≮⫘↔-100101111100011001=≮⫘↔101","layer":2},{"info":"NaN⩚⊴⇥≮⫘↔101=NaN","layer":1},{"info":"≮⫘↔111000100111⪗=NaN","layer":3},{"info":"≮⫘↔101101100100⪪≮⫘↔111010011110=≮⫘↔-1101010100010110101","layer":3},{"info":"NaN→⨶⪴≮⫘↔-1101010100010110101=NaN","layer":2},{"info":"≮⫘↔1010010001010⨹=≮⫘↔10100100010100","layer":3},{"info":"≮⫘↔1000011011110∳⫺≮⫘↔1100110100000=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔10100100010100⩁⩘≮⫘↔-100000100=≮⫘↔-1011100","layer":2},{"info":"NaN⫁⪎≮⫘↔-1011100=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"((≔$2502$⊕∕$2210$)∙⊟(↯⪼$3958$)⨂≜($1927$∠⫱$1264$))⇮⋭((($5361$⩁)⨵⪆(≛$1161$))⊦⊿)","expression":"((≔≮⫘↔100111000110⊕∕≮⫘↔100010100010)∙⊟(↯⪼≮⫘↔111101110110)⨂≜(≮⫘↔11110000111∠⫱≮⫘↔10011110000))⇮⋭(((≮⫘↔1010011110001⩁)⨵⪆(≛≮⫘↔10010001001))⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":69056,"operation_count":11,"complexity_ratio":6277.818181818182,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2502,"base":2},"right_expr":{"type":"numeric_atoms","value":2210,"base":2}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3958,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1927,"base":2},"right_expr":{"type":"numeric_atoms","value":1264,"base":2}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":5361,"base":2}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1161,"base":2}}}}},"used_operators":["vkpjKywKVM","SxTAKzQCrw","8FLs4eVsLt","9cloC0Ngie","k1SHOSEABc","8jW3W4yZS5","QvoQhV0rrE","14qkJME0vr","2DQ55sFlQl","5GqDbVmqXU","W7eaUhjymW"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2502","layer":4},{"info":"number node, value=2210","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=2210, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2502","layer":3},{"info":"compute unary expreesion, input=2502, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-68762","layer":2},{"info":"number node, value=3958","layer":4},{"info":"compute unary expreesion, input=3958, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=1264, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1234, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-68762, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=909650","layer":1},{"info":"number node, value=5361","layer":4},{"info":"compute unary expreesion, input=5361, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-40108","layer":3},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-40108, right_input=-10, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-559","layer":1},{"info":"compute binary expreesion, left_input=909650, right_input=-559, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≔≮⫘↔100111000110⊕∕≮⫘↔100010100010)∙⊟(↯⪼≮⫘↔111101110110)⨂≜(≮⫘↔11110000111∠⫱≮⫘↔10011110000))⇮⋭(((≮⫘↔1010011110001⩁)⨵⪆(≛≮⫘↔10010001001))⊦⊿)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≔≮⫘↔100111000110⊕∕≮⫘↔100010100010)∙⊟(↯⪼≮⫘↔111101110110)⨂≜(≮⫘↔11110000111∠⫱≮⫘↔10011110000))⇮⋭(((≮⫘↔1010011110001⩁)⨵⪆(≛≮⫘↔10010001001))⊦⊿)","cot":[{"info":"≮⫘↔100111000110⊕∕≮⫘↔100010100010=≮⫘↔100111000110","layer":3},{"info":"≔≮⫘↔100111000110=≮⫘↔-10000110010011010","layer":2},{"info":"↯⪼≮⫘↔111101110110=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11110000111∠⫱≮⫘↔10011110000=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-10101⨂≜≮⫘↔10011010010=NaN","layer":2},{"info":"≮⫘↔-10000110010011010∙⊟NaN=≮⫘↔11011110000101010010","layer":1},{"info":"≮⫘↔1010011110001⩁=≮⫘↔-1001110010101100","layer":3},{"info":"≛≮⫘↔10010001001=≮⫘↔-1010","layer":3},{"info":"≮⫘↔-1001110010101100⨵⪆≮⫘↔-1010=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10100000⊦⊿=≮⫘↔-1000101111","layer":1},{"info":"≮⫘↔11011110000101010010⇮⋭≮⫘↔-1000101111=≮⫘↔1000011","layer":0}]}
{"id":143,"expression_no_base_symbol":"(($1704$∷)⫔⩽⩺$1975$⊬⨰$3675$)⫥∨⫟($1924$∀⋜↑)⨚($3709$≄⊠$1807$)⪨≂($1428$∘$2676$∇⊂⋱(⨮↦↱$3679$))⋥⋵⩄((↨$1207$)∈)","expression":"((≮⫘↔11010101000∷)⫔⩽⩺≮⫘↔11110110111⊬⨰≮⫘↔111001011011)⫥∨⫟(≮⫘↔11110000100∀⋜↑)⨚(≮⫘↔111001111101≄⊠≮⫘↔11100001111)⪨≂(≮⫘↔10110010100∘≮⫘↔101001110100∇⊂⋱(⨮↦↱≮⫘↔111001011111))⋥⋵⩄((↨≮⫘↔10010110111)∈)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3715,"operation_count":14,"complexity_ratio":265.35714285714283,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1704,"base":2}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1975,"base":2},"right_expr":{"type":"numeric_atoms","value":3675,"base":2}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1924,"base":2}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3709,"base":2},"right_expr":{"type":"numeric_atoms","value":1807,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1428,"base":2},"right_expr":{"type":"numeric_atoms","value":2676,"base":2}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3679,"base":2}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1207,"base":2}}}}},"used_operators":["sdazOOVcIp","KYD54nUTWz","i9eR4S00cU","nFAOW8KTqp","s3Fd5m9Dh2","nREPSIbpBE","KipPnG1M2J","vXNesLlMH1","7t3wd0Fuz7","nhYeJWJD5X","Z5m6OM72h2","sYcpBQ0cFf","ztP7wcbY7m","jiX4gk2v2Q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Tw270M8GLb","fu6greOZ01","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","BjRHVeLaeN","12rbrZMWeM","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eH2TOUuTDT","rysDP5nf3Z","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=5112","layer":3},{"info":"number node, value=1975","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=3675, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15619","layer":3},{"info":"compute binary expreesion, left_input=5112, right_input=15619, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1924","layer":4},{"info":"compute unary expreesion, input=1924, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=3709","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=3709, right_input=1807, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=33580","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=33580, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-134354","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134354, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1428","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=2676, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2856","layer":3},{"info":"number node, value=3679","layer":4},{"info":"compute unary expreesion, input=3679, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-30470031","layer":3},{"info":"compute binary expreesion, left_input=2856, right_input=-30470031, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5166","layer":2},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5166, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11010101000∷)⫔⩽⩺≮⫘↔11110110111⊬⨰≮⫘↔111001011011)⫥∨⫟(≮⫘↔11110000100∀⋜↑)⨚(≮⫘↔111001111101≄⊠≮⫘↔11100001111)⪨≂(≮⫘↔10110010100∘≮⫘↔101001110100∇⊂⋱(⨮↦↱≮⫘↔111001011111))⋥⋵⩄((↨≮⫘↔10010110111)∈)=NaN","reverse_text":"NaN=((≮⫘↔11010101000∷)⫔⩽⩺≮⫘↔11110110111⊬⨰≮⫘↔111001011011)⫥∨⫟(≮⫘↔11110000100∀⋜↑)⨚(≮⫘↔111001111101≄⊠≮⫘↔11100001111)⪨≂(≮⫘↔10110010100∘≮⫘↔101001110100∇⊂⋱(⨮↦↱≮⫘↔111001011111))⋥⋵⩄((↨≮⫘↔10010110111)∈)","cot":[{"info":"≮⫘↔11010101000∷=≮⫘↔1001111111000","layer":3},{"info":"≮⫘↔11110110111⊬⨰≮⫘↔111001011011=≮⫘↔11110100000011","layer":3},{"info":"≮⫘↔1001111111000⫔⩽⩺≮⫘↔11110100000011=NaN","layer":2},{"info":"≮⫘↔11110000100∀⋜↑=≮⫘↔-111100100","layer":3},{"info":"≮⫘↔111001111101≄⊠≮⫘↔11100001111=≮⫘↔1000001100101100","layer":3},{"info":"≮⫘↔-111100100⨚≮⫘↔1000001100101100=≮⫘↔-100000110011010010","layer":2},{"info":"NaN⫥∨⫟≮⫘↔-100000110011010010=NaN","layer":1},{"info":"≮⫘↔10110010100∘≮⫘↔101001110100=≮⫘↔101100101000","layer":3},{"info":"⨮↦↱≮⫘↔111001011111=≮⫘↔-1110100001110111110001111","layer":3},{"info":"≮⫘↔101100101000∇⊂⋱≮⫘↔-1110100001110111110001111=≮⫘↔1010000101110","layer":2},{"info":"↨≮⫘↔10010110111=NaN","layer":3},{"info":"NaN∈=NaN","layer":2},{"info":"≮⫘↔1010000101110⋥⋵⩄NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"($2870$≨$7724$⨪↰⇹($2140$+$1200$)⋅⇍($7248$≦↸$2327$⊉≛↸($3645$⋫)))⇩","expression":"(≮⫘↔101100110110≨≮⫘↔1111000101100⨪↰⇹(≮⫘↔100001011100+≮⫘↔10010110000)⋅⇍(≮⫘↔1110001010000≦↸≮⫘↔100100010111⊉≛↸(≮⫘↔111000111101⋫)))⇩","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29969,"operation_count":8,"complexity_ratio":3746.125,"tree":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2870,"base":2},"right_expr":{"type":"numeric_atoms","value":7724,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2140,"base":2},"right_expr":{"type":"numeric_atoms","value":1200,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":7248,"base":2},"right_expr":{"type":"numeric_atoms","value":2327,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3645,"base":2}}}}},"used_operators":["vRio1gEz1j","AdZkA7nFnk","tmPS8pqC7x","0KMCeP1Jsh","W4YGzv6Whe","DZ8iAZOCBD","RygbFNSyEJ","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","tmPS8pqC7x"],"result":"≮⫘↔110010010010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2870","layer":4},{"info":"number node, value=7724","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=7724, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-26224","layer":3},{"info":"number node, value=2140","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=2140, right_input=1200, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3340","layer":3},{"info":"compute binary expreesion, left_input=-26224, right_input=3340, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-26224","layer":2},{"info":"number node, value=7248","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=7248, right_input=2327, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-18469","layer":3},{"info":"number node, value=3645","layer":4},{"info":"compute unary expreesion, input=3645, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3645","layer":3},{"info":"compute binary expreesion, left_input=-18469, right_input=3645, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-3645","layer":2},{"info":"compute binary expreesion, left_input=-26224, right_input=-3645, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=25651","layer":1},{"info":"compute unary expreesion, input=25651, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=25744","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101100110110≨≮⫘↔1111000101100⨪↰⇹(≮⫘↔100001011100+≮⫘↔10010110000)⋅⇍(≮⫘↔1110001010000≦↸≮⫘↔100100010111⊉≛↸(≮⫘↔111000111101⋫)))⇩=≮⫘↔110010010010000","reverse_text":"≮⫘↔110010010010000=(≮⫘↔101100110110≨≮⫘↔1111000101100⨪↰⇹(≮⫘↔100001011100+≮⫘↔10010110000)⋅⇍(≮⫘↔1110001010000≦↸≮⫘↔100100010111⊉≛↸(≮⫘↔111000111101⋫)))⇩","cot":[{"info":"≮⫘↔101100110110≨≮⫘↔1111000101100=≮⫘↔-110011001110000","layer":3},{"info":"≮⫘↔100001011100+≮⫘↔10010110000=≮⫘↔110100001100","layer":3},{"info":"≮⫘↔-110011001110000⨪↰⇹≮⫘↔110100001100=≮⫘↔-110011001110000","layer":2},{"info":"≮⫘↔1110001010000≦↸≮⫘↔100100010111=≮⫘↔-100100000100101","layer":3},{"info":"≮⫘↔111000111101⋫=≮⫘↔111000111101","layer":3},{"info":"≮⫘↔-100100000100101⊉≛↸≮⫘↔111000111101=≮⫘↔-111000111101","layer":2},{"info":"≮⫘↔-110011001110000⋅⇍≮⫘↔-111000111101=≮⫘↔110010000110011","layer":1},{"info":"≮⫘↔110010000110011⇩=≮⫘↔110010010010000","layer":0}]}
{"id":145,"expression_no_base_symbol":"($3473$≠≀$4482$≓∲$1861$⩍⋽⫝̸$3070$⩹$4565$∀⇚≩$2006$⊍⩺⋍$1420$*$3455$)⫽⇹≛","expression":"(≮⫘↔110110010001≠≀≮⫘↔1000110000010≓∲≮⫘↔11101000101⩍⋽⫝̸≮⫘↔101111111110⩹≮⫘↔1000111010101∀⇚≩≮⫘↔11111010110⊍⩺⋍≮⫘↔10110001100*≮⫘↔110101111111)⫽⇹≛","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33936,"operation_count":8,"complexity_ratio":4242.0,"tree":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3473,"base":2},"right_expr":{"type":"numeric_atoms","value":4482,"base":2}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1861,"base":2},"right_expr":{"type":"numeric_atoms","value":3070,"base":2}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4565,"base":2},"right_expr":{"type":"numeric_atoms","value":2006,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1420,"base":2},"right_expr":{"type":"numeric_atoms","value":3455,"base":2}}}}},"used_operators":["NNaDxxp6OQ","2Wsdkap16l","s1XTVnmDOJ","IwW236VD4Y","BiWNJpBvwn","OXDGMFPWZM","LRNGc0VcxI","9HNa5Wba9A"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Ph9nP6C5qx","xUOZtlo3hN","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","X99M06cbEe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3473","layer":4},{"info":"number node, value=4482","layer":4},{"info":"compute binary expreesion, left_input=3473, right_input=4482, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6640","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=3070, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2124","layer":3},{"info":"compute binary expreesion, left_input=-6640, right_input=2124, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"number node, value=4565","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=2006, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=3455","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=3455, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4906100","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4906100, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110110010001≠≀≮⫘↔1000110000010≓∲≮⫘↔11101000101⩍⋽⫝̸≮⫘↔101111111110⩹≮⫘↔1000111010101∀⇚≩≮⫘↔11111010110⊍⩺⋍≮⫘↔10110001100*≮⫘↔110101111111)⫽⇹≛=NaN","reverse_text":"NaN=(≮⫘↔110110010001≠≀≮⫘↔1000110000010≓∲≮⫘↔11101000101⩍⋽⫝̸≮⫘↔101111111110⩹≮⫘↔1000111010101∀⇚≩≮⫘↔11111010110⊍⩺⋍≮⫘↔10110001100*≮⫘↔110101111111)⫽⇹≛","cot":[{"info":"≮⫘↔110110010001≠≀≮⫘↔1000110000010=≮⫘↔-1100111110000","layer":3},{"info":"≮⫘↔11101000101⩍⋽⫝̸≮⫘↔101111111110=≮⫘↔100001001100","layer":3},{"info":"≮⫘↔-1100111110000≓∲≮⫘↔100001001100=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1000111010101∀⇚≩≮⫘↔11111010110=NaN","layer":3},{"info":"≮⫘↔10110001100*≮⫘↔110101111111=≮⫘↔10010101101110001110100","layer":3},{"info":"NaN⊍⩺⋍≮⫘↔10010101101110001110100=NaN","layer":2},{"info":"≮⫘↔1000011⩹NaN=NaN","layer":1},{"info":"NaN⫽⇹≛=NaN","layer":0}]}
{"id":146,"expression_no_base_symbol":"⩩(($4110$⋕⪉⪜$3493$⨴∎)⨎(↥($2272$⫑)))","expression":"⩩((≮⫘↔1000000001110⋕⪉⪜≮⫘↔110110100101⨴∎)⨎(↥(≮⫘↔100011100000⫑)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4032,"operation_count":6,"complexity_ratio":672.0,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4110,"base":2},"right_expr":{"type":"numeric_atoms","value":3493,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":2272,"base":2}}}}},"used_operators":["kMhfGuqI2H","rJVOvQCfKK","CpSg5vQTgA","z6LnFrNh4i","A8NUZmVepG","CgIo77xlM2"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","k8jYdgA6NY","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"≮⫘↔11101000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4110","layer":4},{"info":"number node, value=3493","layer":4},{"info":"compute binary expreesion, left_input=4110, right_input=3493, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"number node, value=2272","layer":4},{"info":"compute unary expreesion, input=2272, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute unary expreesion, input=3979, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":0}],"base":2,"result_base":2,"text":"⩩((≮⫘↔1000000001110⋕⪉⪜≮⫘↔110110100101⨴∎)⨎(↥(≮⫘↔100011100000⫑)))=≮⫘↔11101000","reverse_text":"≮⫘↔11101000=⩩((≮⫘↔1000000001110⋕⪉⪜≮⫘↔110110100101⨴∎)⨎(↥(≮⫘↔100011100000⫑)))","cot":[{"info":"≮⫘↔1000000001110⋕⪉⪜≮⫘↔110110100101=≮⫘↔101011110010","layer":3},{"info":"≮⫘↔101011110010⨴∎=NaN","layer":2},{"info":"≮⫘↔100011100000⫑=≮⫘↔111110001011","layer":3},{"info":"↥≮⫘↔111110001011=≮⫘↔1","layer":2},{"info":"NaN⨎≮⫘↔1=≮⫘↔1","layer":1},{"info":"⩩≮⫘↔1=≮⫘↔11101000","layer":0}]}
{"id":147,"expression_no_base_symbol":"(($1517$⊹∫⫚$5021$)⇻⋧≁($3309$⨼⩣$1008$)⫰⋱($2160$∛$2482$)∛$3662$⩦$4262$)≌(($3208$⇩)≎⪠($8683$⪇≇⋚$2967$)⫡⨏(⊲⪭($1253$⫳≱↱$3869$)))","expression":"((≮⫘↔10111101101⊹∫⫚≮⫘↔1001110011101)⇻⋧≁(≮⫘↔110011101101⨼⩣≮⫘↔1111110000)⫰⋱(≮⫘↔100001110000∛≮⫘↔100110110010)∛≮⫘↔111001001110⩦≮⫘↔1000010100110)≌((≮⫘↔110010001000⇩)≎⪠(≮⫘↔10000111101011⪇≇⋚≮⫘↔101110010111)⫡⨏(⊲⪭(≮⫘↔10011100101⫳≱↱≮⫘↔111100011101)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":118986,"operation_count":14,"complexity_ratio":8499.0,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1517,"base":2},"right_expr":{"type":"numeric_atoms","value":5021,"base":2}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3309,"base":2},"right_expr":{"type":"numeric_atoms","value":1008,"base":2}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2160,"base":2},"right_expr":{"type":"numeric_atoms","value":2482,"base":2}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3662,"base":2},"right_expr":{"type":"numeric_atoms","value":4262,"base":2}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":3208,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":8683,"base":2},"right_expr":{"type":"numeric_atoms","value":2967,"base":2}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1253,"base":2},"right_expr":{"type":"numeric_atoms","value":3869,"base":2}}}}},"used_operators":["lyWz822IDG","6o9Blt3TJ6","jCPkEVoL5K","uWAJUKEvyW","JxwMv5le6e","w2537kitQq","0kmYd0q39Y","QMFrweE19q","aNhz54LH3e","vRio1gEz1j","3sJ7IOPOlU","k7HXdKtiEU","ZvLB05nZmT"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","i8ToyICDmI","xUOZtlo3hN","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1517","layer":4},{"info":"number node, value=5021","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=5021, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-112","layer":3},{"info":"number node, value=3309","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=3309, right_input=1008, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-112, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=2160","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=2482, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=3662","layer":4},{"info":"number node, value=4262","layer":4},{"info":"compute binary expreesion, left_input=3662, right_input=4262, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7324","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=7324, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-676, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=1190","layer":1},{"info":"number node, value=3208","layer":4},{"info":"compute unary expreesion, input=3208, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=3301","layer":3},{"info":"number node, value=8683","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=8683, right_input=2967, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3301, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=1253","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=3869, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=30","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=30, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=98633","layer":1},{"info":"compute binary expreesion, left_input=1190, right_input=98633, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111101101⊹∫⫚≮⫘↔1001110011101)⇻⋧≁(≮⫘↔110011101101⨼⩣≮⫘↔1111110000)⫰⋱(≮⫘↔100001110000∛≮⫘↔100110110010)∛≮⫘↔111001001110⩦≮⫘↔1000010100110)≌((≮⫘↔110010001000⇩)≎⪠(≮⫘↔10000111101011⪇≇⋚≮⫘↔101110010111)⫡⨏(⊲⪭(≮⫘↔10011100101⫳≱↱≮⫘↔111100011101)))=NaN","reverse_text":"NaN=((≮⫘↔10111101101⊹∫⫚≮⫘↔1001110011101)⇻⋧≁(≮⫘↔110011101101⨼⩣≮⫘↔1111110000)⫰⋱(≮⫘↔100001110000∛≮⫘↔100110110010)∛≮⫘↔111001001110⩦≮⫘↔1000010100110)≌((≮⫘↔110010001000⇩)≎⪠(≮⫘↔10000111101011⪇≇⋚≮⫘↔101110010111)⫡⨏(⊲⪭(≮⫘↔10011100101⫳≱↱≮⫘↔111100011101)))","cot":[{"info":"≮⫘↔10111101101⊹∫⫚≮⫘↔1001110011101=≮⫘↔-1110000","layer":3},{"info":"≮⫘↔110011101101⨼⩣≮⫘↔1111110000=NaN","layer":3},{"info":"≮⫘↔-1110000⇻⋧≁NaN=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔100001110000∛≮⫘↔100110110010=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔111001001110⩦≮⫘↔1000010100110=≮⫘↔1110010011100","layer":3},{"info":"≮⫘↔-1010011110∛≮⫘↔1110010011100=≮⫘↔-1010100100","layer":2},{"info":"≮⫘↔-110111111⫰⋱≮⫘↔-1010100100=≮⫘↔10010100110","layer":1},{"info":"≮⫘↔110010001000⇩=≮⫘↔110011100101","layer":3},{"info":"≮⫘↔10000111101011⪇≇⋚≮⫘↔101110010111=≮⫘↔0","layer":3},{"info":"≮⫘↔110011100101≎⪠≮⫘↔0=≮⫘↔100110001100110","layer":2},{"info":"≮⫘↔10011100101⫳≱↱≮⫘↔111100011101=≮⫘↔-11001100","layer":3},{"info":"⊲⪭≮⫘↔-11001100=≮⫘↔11110","layer":2},{"info":"≮⫘↔100110001100110⫡⨏≮⫘↔11110=≮⫘↔11000000101001001","layer":1},{"info":"≮⫘↔10010100110≌≮⫘↔11000000101001001=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"(⇤←(⇠$4275$))⪶≀⋏($2741$⫃⨇$1345$)↢($1761$⫯⪬∳$3871$)⩒⫫(($2483$↡⊰⫅$7369$)⪡($1619$⪨⊡$3842$))⪍↜⋙(→⩰(∷≠$9182$))","expression":"(⇤←(⇠≮⫘↔1000010110011))⪶≀⋏(≮⫘↔101010110101⫃⨇≮⫘↔10101000001)↢(≮⫘↔11011100001⫯⪬∳≮⫘↔111100011111)⩒⫫((≮⫘↔100110110011↡⊰⫅≮⫘↔1110011001001)⪡(≮⫘↔11001010011⪨⊡≮⫘↔111100000010))⪍↜⋙(→⩰(∷≠≮⫘↔10001111011110))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":125057,"operation_count":13,"complexity_ratio":9619.76923076923,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":4275,"base":2}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2741,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1761,"base":2},"right_expr":{"type":"numeric_atoms","value":3871,"base":2}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2483,"base":2},"right_expr":{"type":"numeric_atoms","value":7369,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1619,"base":2},"right_expr":{"type":"numeric_atoms","value":3842,"base":2}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":9182,"base":2}}}}},"used_operators":["KFSx94NKJn","zR4jO40bMj","jfAgQ2OQeM","18saOjeKKm","WR6HLWljOP","09Ly4LVMIf","d7ASUq0ydm","L05ObWFQCd","oraRL2iQuh","VCtxkLNOzz","kuIXHzHcAH","o8Pngz0Tml","QiR2Oyf5Xj"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","7j4O788W3g"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4275","layer":4},{"info":"compute unary expreesion, input=4275, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-4033","layer":3},{"info":"compute unary expreesion, input=-4033, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=4467","layer":2},{"info":"number node, value=2741","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=1345, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5412","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=3871","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=3871, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4967","layer":3},{"info":"compute binary expreesion, left_input=-5412, right_input=4967, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-890","layer":2},{"info":"compute binary expreesion, left_input=4467, right_input=-890, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11853","layer":1},{"info":"number node, value=2483","layer":4},{"info":"number node, value=7369","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=7369, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=14738","layer":3},{"info":"number node, value=1619","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=3842, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14738, right_input=0, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1","layer":2},{"info":"number node, value=9182","layer":4},{"info":"compute unary expreesion, input=9182, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=9182","layer":3},{"info":"compute unary expreesion, input=9182, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-11853, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⇤←(⇠≮⫘↔1000010110011))⪶≀⋏(≮⫘↔101010110101⫃⨇≮⫘↔10101000001)↢(≮⫘↔11011100001⫯⪬∳≮⫘↔111100011111)⩒⫫((≮⫘↔100110110011↡⊰⫅≮⫘↔1110011001001)⪡(≮⫘↔11001010011⪨⊡≮⫘↔111100000010))⪍↜⋙(→⩰(∷≠≮⫘↔10001111011110))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⇤←(⇠≮⫘↔1000010110011))⪶≀⋏(≮⫘↔101010110101⫃⨇≮⫘↔10101000001)↢(≮⫘↔11011100001⫯⪬∳≮⫘↔111100011111)⩒⫫((≮⫘↔100110110011↡⊰⫅≮⫘↔1110011001001)⪡(≮⫘↔11001010011⪨⊡≮⫘↔111100000010))⪍↜⋙(→⩰(∷≠≮⫘↔10001111011110))","cot":[{"info":"⇠≮⫘↔1000010110011=≮⫘↔-111111000001","layer":3},{"info":"⇤←≮⫘↔-111111000001=≮⫘↔1000101110011","layer":2},{"info":"≮⫘↔101010110101⫃⨇≮⫘↔10101000001=≮⫘↔-1010100100100","layer":3},{"info":"≮⫘↔11011100001⫯⪬∳≮⫘↔111100011111=≮⫘↔1001101100111","layer":3},{"info":"≮⫘↔-1010100100100↢≮⫘↔1001101100111=≮⫘↔-1101111010","layer":2},{"info":"≮⫘↔1000101110011⪶≀⋏≮⫘↔-1101111010=≮⫘↔-10111001001101","layer":1},{"info":"≮⫘↔100110110011↡⊰⫅≮⫘↔1110011001001=≮⫘↔11100110010010","layer":3},{"info":"≮⫘↔11001010011⪨⊡≮⫘↔111100000010=≮⫘↔0","layer":3},{"info":"≮⫘↔11100110010010⪡≮⫘↔0=≮⫘↔-1","layer":2},{"info":"∷≠≮⫘↔10001111011110=≮⫘↔10001111011110","layer":3},{"info":"→⩰≮⫘↔10001111011110=NaN","layer":2},{"info":"≮⫘↔-1⪍↜⋙NaN=NaN","layer":1},{"info":"≮⫘↔-10111001001101⩒⫫NaN=≮⫘↔10100000","layer":0}]}
{"id":149,"expression_no_base_symbol":"(($2702$⨐⩸⫘$1559$)⋝⋈⪟$1786$⩦$7324$⫰⋱($7871$∼$3660$)⪮%⊝$2939$⪃⊛⇣$3145$)⪕($4484$≌$2852$⪨≂$3681$⨚$2138$)⨟⋌⩍($1364$∌$2084$≭(∓$1284$))","expression":"((≮⫘↔101010001110⨐⩸⫘≮⫘↔11000010111)⋝⋈⪟≮⫘↔11011111010⩦≮⫘↔1110010011100⫰⋱(≮⫘↔1111010111111∼≮⫘↔111001001100)⪮%⊝≮⫘↔101101111011⪃⊛⇣≮⫘↔110001001001)⪕(≮⫘↔1000110000100≌≮⫘↔101100100100⪨≂≮⫘↔111001100001⨚≮⫘↔100001011010)⨟⋌⩍(≮⫘↔10101010100∌≮⫘↔100000100100≭(∓≮⫘↔10100000100))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3798,"operation_count":15,"complexity_ratio":253.2,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2702,"base":2},"right_expr":{"type":"numeric_atoms","value":1559,"base":2}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1786,"base":2},"right_expr":{"type":"numeric_atoms","value":7324,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7871,"base":2},"right_expr":{"type":"numeric_atoms","value":3660,"base":2}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2939,"base":2},"right_expr":{"type":"numeric_atoms","value":3145,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4484,"base":2},"right_expr":{"type":"numeric_atoms","value":2852,"base":2}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3681,"base":2},"right_expr":{"type":"numeric_atoms","value":2138,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1364,"base":2},"right_expr":{"type":"numeric_atoms","value":2084,"base":2}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1284,"base":2}}}}},"used_operators":["umQnsF7QlU","6o9Blt3TJ6","2DDjHMKMc0","fu6greOZ01","0kmYd0q39Y","IWmyXbctLI","DyGG3AbaNP","rrgAzCduG9","rGHVDoGpnC","sdazOOVcIp","lyWz822IDG","nREPSIbpBE","rxpJgHHUmx","8cLx32lpNA","OwUj7dcsQK"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","BjRHVeLaeN","12rbrZMWeM","AHs5Up7iyr","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"≮⫘↔1110100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2702","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=1559, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1786","layer":4},{"info":"number node, value=7324","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=7324, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3572","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3572, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=7871","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=7871, right_input=3660, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2939","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=3145, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=4484","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=4484, right_input=2852, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=3681","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=3681, right_input=2138, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-256","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-256, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=1364","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=2084, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2084","layer":3},{"info":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-24132","layer":3},{"info":"compute binary expreesion, left_input=-2084, right_input=-24132, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101010001110⨐⩸⫘≮⫘↔11000010111)⋝⋈⪟≮⫘↔11011111010⩦≮⫘↔1110010011100⫰⋱(≮⫘↔1111010111111∼≮⫘↔111001001100)⪮%⊝≮⫘↔101101111011⪃⊛⇣≮⫘↔110001001001)⪕(≮⫘↔1000110000100≌≮⫘↔101100100100⪨≂≮⫘↔111001100001⨚≮⫘↔100001011010)⨟⋌⩍(≮⫘↔10101010100∌≮⫘↔100000100100≭(∓≮⫘↔10100000100))=≮⫘↔1110100111","reverse_text":"≮⫘↔1110100111=((≮⫘↔101010001110⨐⩸⫘≮⫘↔11000010111)⋝⋈⪟≮⫘↔11011111010⩦≮⫘↔1110010011100⫰⋱(≮⫘↔1111010111111∼≮⫘↔111001001100)⪮%⊝≮⫘↔101101111011⪃⊛⇣≮⫘↔110001001001)⪕(≮⫘↔1000110000100≌≮⫘↔101100100100⪨≂≮⫘↔111001100001⨚≮⫘↔100001011010)⨟⋌⩍(≮⫘↔10101010100∌≮⫘↔100000100100≭(∓≮⫘↔10100000100))","cot":[{"info":"≮⫘↔101010001110⨐⩸⫘≮⫘↔11000010111=NaN","layer":3},{"info":"≮⫘↔11011111010⩦≮⫘↔1110010011100=≮⫘↔110111110100","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔110111110100=NaN","layer":2},{"info":"≮⫘↔1111010111111∼≮⫘↔111001001100=NaN","layer":3},{"info":"≮⫘↔101101111011⪃⊛⇣≮⫘↔110001001001=≮⫘↔10011010010","layer":3},{"info":"NaN⪮%⊝≮⫘↔10011010010=NaN","layer":2},{"info":"NaN⫰⋱NaN=NaN","layer":1},{"info":"≮⫘↔1000110000100≌≮⫘↔101100100100=NaN","layer":3},{"info":"≮⫘↔111001100001⨚≮⫘↔100001011010=≮⫘↔-100000000","layer":3},{"info":"NaN⪨≂≮⫘↔-100000000=NaN","layer":2},{"info":"≮⫘↔10101010100∌≮⫘↔100000100100=≮⫘↔-100000100100","layer":3},{"info":"∓≮⫘↔10100000100=≮⫘↔-101111001000100","layer":3},{"info":"≮⫘↔-100000100100≭≮⫘↔-101111001000100=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN⪕NaN=≮⫘↔1110100111","layer":0}]}
{"id":150,"expression_no_base_symbol":"(≔(↓⇌$2015$)≎⪠($1548$⨽∌$3452$))⇣⩺⋵(∡(↑$1107$)⨭⪣$3520$⨪↰⇹$4545$)","expression":"(≔(↓⇌≮⫘↔11111011111)≎⪠(≮⫘↔11000001100⨽∌≮⫘↔110101111100))⇣⩺⋵(∡(↑≮⫘↔10001010011)⨭⪣≮⫘↔110111000000⨪↰⇹≮⫘↔1000111000001)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22849,"operation_count":9,"complexity_ratio":2538.777777777778,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2015,"base":2}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1548,"base":2},"right_expr":{"type":"numeric_atoms","value":3452,"base":2}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1107,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3520,"base":2},"right_expr":{"type":"numeric_atoms","value":4545,"base":2}}}}},"used_operators":["F4yD0voBRQ","8FLs4eVsLt","aNhz54LH3e","PxpmPgHHJV","9samAPKr6k","pRsWfj4Fpp","kn8WO9XteQ","tR7O2zTn5j","tmPS8pqC7x"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","rJVOvQCfKK"],"result":"≮⫘↔-1000010111000001000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2015","layer":3},{"info":"number node, value=1548","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=3452, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2015, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute unary expreesion, input=19558, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-546330","layer":1},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=3520","layer":4},{"info":"number node, value=4545","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=4545, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3520","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=3520, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-514","layer":2},{"info":"compute unary expreesion, input=-514, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=3084","layer":1},{"info":"compute binary expreesion, left_input=-546330, right_input=3084, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-2191426","layer":0}],"base":2,"result_base":2,"text":"(≔(↓⇌≮⫘↔11111011111)≎⪠(≮⫘↔11000001100⨽∌≮⫘↔110101111100))⇣⩺⋵(∡(↑≮⫘↔10001010011)⨭⪣≮⫘↔110111000000⨪↰⇹≮⫘↔1000111000001)=≮⫘↔-1000010111000001000010","reverse_text":"≮⫘↔-1000010111000001000010=(≔(↓⇌≮⫘↔11111011111)≎⪠(≮⫘↔11000001100⨽∌≮⫘↔110101111100))⇣⩺⋵(∡(↑≮⫘↔10001010011)⨭⪣≮⫘↔110111000000⨪↰⇹≮⫘↔1000111000001)","cot":[{"info":"↓⇌≮⫘↔11111011111=≮⫘↔11111011111","layer":3},{"info":"≮⫘↔11000001100⨽∌≮⫘↔110101111100=≮⫘↔0","layer":3},{"info":"≮⫘↔11111011111≎⪠≮⫘↔0=≮⫘↔100110001100110","layer":2},{"info":"≔≮⫘↔100110001100110=≮⫘↔-10000101011000011010","layer":1},{"info":"↑≮⫘↔10001010011=≮⫘↔11000000","layer":3},{"info":"≮⫘↔110111000000⨪↰⇹≮⫘↔1000111000001=≮⫘↔110111000000","layer":3},{"info":"≮⫘↔11000000⨭⪣≮⫘↔110111000000=≮⫘↔-1000000010","layer":2},{"info":"∡≮⫘↔-1000000010=≮⫘↔110000001100","layer":1},{"info":"≮⫘↔-10000101011000011010⇣⩺⋵≮⫘↔110000001100=≮⫘↔-1000010111000001000010","layer":0}]}
{"id":151,"expression_no_base_symbol":"(((≀↧⇸$2470$)+$4603$↳∿⪆$2049$)⩍⋽⫝̸((∂$1370$)≀⩗∶($2106$⋷$2447$)))⪎↠((($1616$≒∊$4535$)∼$1950$⨑⩅≇$1015$)⩘(↴⪽⋼$4413$)⊋$2227$≌$6295$)","expression":"(((≀↧⇸≮⫘↔100110100110)+≮⫘↔1000111111011↳∿⪆≮⫘↔100000000001)⩍⋽⫝̸((∂≮⫘↔10101011010)≀⩗∶(≮⫘↔100000111010⋷≮⫘↔100110001111)))⪎↠(((≮⫘↔11001010000≒∊≮⫘↔1000110110111)∼≮⫘↔11110011110⨑⩅≇≮⫘↔1111110111)⩘(↴⪽⋼≮⫘↔1000100111101)⊋≮⫘↔100010110011≌≮⫘↔1100010010111)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10069,"operation_count":15,"complexity_ratio":671.2666666666667,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":2470,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4603,"base":2},"right_expr":{"type":"numeric_atoms","value":2049,"base":2}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1370,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2106,"base":2},"right_expr":{"type":"numeric_atoms","value":2447,"base":2}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1616,"base":2},"right_expr":{"type":"numeric_atoms","value":4535,"base":2}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1950,"base":2},"right_expr":{"type":"numeric_atoms","value":1015,"base":2}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":4413,"base":2}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2227,"base":2},"right_expr":{"type":"numeric_atoms","value":6295,"base":2}}}}},"used_operators":["3tVxb0NHM4","BiWNJpBvwn","W4YGzv6Whe","ljTHtUsqzn","Cw4SuJJGHO","8INZBEW696","Uaa54Peajs","23Mk6UjR3U","cHh1gJQ2o6","DyGG3AbaNP","5KTvxBwnZo","h92wMvzauj","W4tP9CfskL","5TUYCnJO6w","lyWz822IDG"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Ph9nP6C5qx","xUOZtlo3hN","XPYlsWDdGa","23Mk6UjR3U","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2470","layer":4},{"info":"compute unary expreesion, input=2470, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=4940","layer":3},{"info":"number node, value=4603","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=4603, right_input=2049, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4940, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=2106","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=2447, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2788","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2788, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"number node, value=1616","layer":4},{"info":"number node, value=4535","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=4535, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1132","layer":3},{"info":"number node, value=1950","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=1015, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5850","layer":3},{"info":"compute binary expreesion, left_input=-1132, right_input=-5850, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=4413","layer":4},{"info":"compute unary expreesion, input=4413, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=4413","layer":3},{"info":"number node, value=2227","layer":4},{"info":"number node, value=6295","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=6295, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4413, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≀↧⇸≮⫘↔100110100110)+≮⫘↔1000111111011↳∿⪆≮⫘↔100000000001)⩍⋽⫝̸((∂≮⫘↔10101011010)≀⩗∶(≮⫘↔100000111010⋷≮⫘↔100110001111)))⪎↠(((≮⫘↔11001010000≒∊≮⫘↔1000110110111)∼≮⫘↔11110011110⨑⩅≇≮⫘↔1111110111)⩘(↴⪽⋼≮⫘↔1000100111101)⊋≮⫘↔100010110011≌≮⫘↔1100010010111)=NaN","reverse_text":"NaN=(((≀↧⇸≮⫘↔100110100110)+≮⫘↔1000111111011↳∿⪆≮⫘↔100000000001)⩍⋽⫝̸((∂≮⫘↔10101011010)≀⩗∶(≮⫘↔100000111010⋷≮⫘↔100110001111)))⪎↠(((≮⫘↔11001010000≒∊≮⫘↔1000110110111)∼≮⫘↔11110011110⨑⩅≇≮⫘↔1111110111)⩘(↴⪽⋼≮⫘↔1000100111101)⊋≮⫘↔100010110011≌≮⫘↔1100010010111)","cot":[{"info":"≀↧⇸≮⫘↔100110100110=≮⫘↔1001101001100","layer":3},{"info":"≮⫘↔1000111111011↳∿⪆≮⫘↔100000000001=NaN","layer":3},{"info":"≮⫘↔1001101001100+NaN=NaN","layer":2},{"info":"∂≮⫘↔10101011010=NaN","layer":3},{"info":"≮⫘↔100000111010⋷≮⫘↔100110001111=≮⫘↔101011100100","layer":3},{"info":"NaN≀⩗∶≮⫘↔101011100100=NaN","layer":2},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":1},{"info":"≮⫘↔11001010000≒∊≮⫘↔1000110110111=≮⫘↔-10001101100","layer":3},{"info":"≮⫘↔11110011110⨑⩅≇≮⫘↔1111110111=≮⫘↔-1011011011010","layer":3},{"info":"≮⫘↔-10001101100∼≮⫘↔-1011011011010=NaN","layer":2},{"info":"↴⪽⋼≮⫘↔1000100111101=≮⫘↔1000100111101","layer":3},{"info":"≮⫘↔100010110011≌≮⫘↔1100010010111=NaN","layer":3},{"info":"≮⫘↔1000100111101⊋NaN=NaN","layer":2},{"info":"NaN⩘NaN=≮⫘↔10100000","layer":1},{"info":"NaN⪎↠≮⫘↔10100000=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"((⊢≑≆($2214$↙$1002$))∘(⩏⊷≩$4009$↳∿⪆$4908$))⋕⪉⪜(⊲⪭(⩪∧⨌$4176$)≌($1305$+$1694$))","expression":"((⊢≑≆(≮⫘↔100010100110↙≮⫘↔1111101010))∘(⩏⊷≩≮⫘↔111110101001↳∿⪆≮⫘↔1001100101100))⋕⪉⪜(⊲⪭(⩪∧⨌≮⫘↔1000001010000)≌(≮⫘↔10100011001+≮⫘↔11010011110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6662,"operation_count":10,"complexity_ratio":666.2,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2214,"base":2},"right_expr":{"type":"numeric_atoms","value":1002,"base":2}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4009,"base":2},"right_expr":{"type":"numeric_atoms","value":4908,"base":2}}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4176,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1305,"base":2},"right_expr":{"type":"numeric_atoms","value":1694,"base":2}}}}},"used_operators":["z6LnFrNh4i","Z5m6OM72h2","27wFxooxGf","yyfyN0ffXY","uOZ1tnYMDE","Cw4SuJJGHO","k7HXdKtiEU","lyWz822IDG","6iOiAJX1F8","W4YGzv6Whe"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","tmPS8pqC7x","DpFCA1CohY","23Mk6UjR3U","12rbrZMWeM","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"≮⫘↔11001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2214","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=1002, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3006","layer":3},{"info":"compute unary expreesion, input=-3006, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=6205","layer":2},{"info":"number node, value=4009","layer":4},{"info":"number node, value=4908","layer":4},{"info":"compute binary expreesion, left_input=4009, right_input=4908, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6205, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=12410","layer":1},{"info":"number node, value=4176","layer":4},{"info":"compute unary expreesion, input=4176, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=41760","layer":3},{"info":"number node, value=1305","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=1694, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2999","layer":3},{"info":"compute binary expreesion, left_input=41760, right_input=2999, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12410, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":2,"result_base":2,"text":"((⊢≑≆(≮⫘↔100010100110↙≮⫘↔1111101010))∘(⩏⊷≩≮⫘↔111110101001↳∿⪆≮⫘↔1001100101100))⋕⪉⪜(⊲⪭(⩪∧⨌≮⫘↔1000001010000)≌(≮⫘↔10100011001+≮⫘↔11010011110))=≮⫘↔11001100","reverse_text":"≮⫘↔11001100=((⊢≑≆(≮⫘↔100010100110↙≮⫘↔1111101010))∘(⩏⊷≩≮⫘↔111110101001↳∿⪆≮⫘↔1001100101100))⋕⪉⪜(⊲⪭(⩪∧⨌≮⫘↔1000001010000)≌(≮⫘↔10100011001+≮⫘↔11010011110))","cot":[{"info":"≮⫘↔100010100110↙≮⫘↔1111101010=≮⫘↔-101110111110","layer":3},{"info":"⊢≑≆≮⫘↔-101110111110=≮⫘↔1100000111101","layer":2},{"info":"≮⫘↔111110101001↳∿⪆≮⫘↔1001100101100=NaN","layer":3},{"info":"⩏⊷≩NaN=NaN","layer":2},{"info":"≮⫘↔1100000111101∘NaN=≮⫘↔11000001111010","layer":1},{"info":"⩪∧⨌≮⫘↔1000001010000=≮⫘↔1010001100100000","layer":3},{"info":"≮⫘↔10100011001+≮⫘↔11010011110=≮⫘↔101110110111","layer":3},{"info":"≮⫘↔1010001100100000≌≮⫘↔101110110111=NaN","layer":2},{"info":"⊲⪭NaN=NaN","layer":1},{"info":"≮⫘↔11000001111010⋕⪉⪜NaN=≮⫘↔11001100","layer":0}]}
{"id":153,"expression_no_base_symbol":"⨵((⫟$1115$⫒⫫$8538$)⪍↜⋙$1789$⪎↠$5535$+⪬∐($5780$⋥≓≎$4214$))","expression":"⨵((⫟≮⫘↔10001011011⫒⫫≮⫘↔10000101011010)⪍↜⋙≮⫘↔11011111101⪎↠≮⫘↔1010110011111+⪬∐(≮⫘↔1011010010100⋥≓≎≮⫘↔1000001110110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":103,"operation_count":7,"complexity_ratio":14.714285714285714,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1115,"base":2},"right_expr":{"type":"numeric_atoms","value":8538,"base":2}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1789,"base":2},"right_expr":{"type":"numeric_atoms","value":5535,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5780,"base":2},"right_expr":{"type":"numeric_atoms","value":4214,"base":2}}}}},"used_operators":["Tl3Y52tvF8","L05ObWFQCd","z4E1FaHLuy","6Ko8hGgeMq","2GS7woTJqF","3tVxb0NHM4","Qy55tPpLXF"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1115","layer":4},{"info":"number node, value=8538","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=8538, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":2},{"info":"number node, value=1789","layer":4},{"info":"number node, value=5535","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=5535, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=5780","layer":4},{"info":"number node, value=4214","layer":4},{"info":"compute binary expreesion, left_input=5780, right_input=4214, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2681","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2681, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨵((⫟≮⫘↔10001011011⫒⫫≮⫘↔10000101011010)⪍↜⋙≮⫘↔11011111101⪎↠≮⫘↔1010110011111+⪬∐(≮⫘↔1011010010100⋥≓≎≮⫘↔1000001110110))=NaN","reverse_text":"NaN=⨵((⫟≮⫘↔10001011011⫒⫫≮⫘↔10000101011010)⪍↜⋙≮⫘↔11011111101⪎↠≮⫘↔1010110011111+⪬∐(≮⫘↔1011010010100⋥≓≎≮⫘↔1000001110110))","cot":[{"info":"≮⫘↔10001011011⫒⫫≮⫘↔10000101011010=NaN","layer":3},{"info":"⫟NaN=NaN","layer":2},{"info":"≮⫘↔11011111101⪎↠≮⫘↔1010110011111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1011010010100⋥≓≎≮⫘↔1000001110110=≮⫘↔101001111001","layer":3},{"info":"≮⫘↔10100000+⪬∐≮⫘↔101001111001=≮⫘↔-111100000","layer":2},{"info":"NaN⪍↜⋙≮⫘↔-111100000=NaN","layer":1},{"info":"⨵NaN=NaN","layer":0}]}
{"id":154,"expression_no_base_symbol":"(($2497$⫢⨠$1212$⨑≵⋬($1255$⊓⋫))⊅)⋕⪉⪜((⊆⋠($2244$⨎$6113$))⪎↠(($2599$↙$1996$)⊬⨰$2498$≝⊿$9352$))","expression":"((≮⫘↔100111000001⫢⨠≮⫘↔10010111100⨑≵⋬(≮⫘↔10011100111⊓⋫))⊅)⋕⪉⪜((⊆⋠(≮⫘↔100011000100⨎≮⫘↔1011111100001))⪎↠((≮⫘↔101000100111↙≮⫘↔11111001100)⊬⨰≮⫘↔100111000010≝⊿≮⫘↔10010010001000))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2313,"operation_count":11,"complexity_ratio":210.27272727272728,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2497,"base":2},"right_expr":{"type":"numeric_atoms","value":1212,"base":2}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1255,"base":2}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2244,"base":2},"right_expr":{"type":"numeric_atoms","value":6113,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2599,"base":2},"right_expr":{"type":"numeric_atoms","value":1996,"base":2}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2498,"base":2},"right_expr":{"type":"numeric_atoms","value":9352,"base":2}}}}},"used_operators":["z6LnFrNh4i","7p6YLioM7f","XnXgA4xnOs","xlXykHWxX1","IqGBaFP0uj","3tVxb0NHM4","EBhcHTkKd8","rJVOvQCfKK","s3Fd5m9Dh2","yyfyN0ffXY","OKKcZfAt5B"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","tmPS8pqC7x","DpFCA1CohY","12rbrZMWeM"],"result":"≮⫘↔11001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2497","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=1212, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1383","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1383, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=15658","layer":2},{"info":"compute unary expreesion, input=15658, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":1},{"info":"number node, value=2244","layer":4},{"info":"number node, value=6113","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=6113, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6113","layer":3},{"info":"compute unary expreesion, input=6113, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":2},{"info":"number node, value=2599","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=1996, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5988","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=9352","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=9352, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-21735","layer":3},{"info":"compute binary expreesion, left_input=-5988, right_input=-21735, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-98916","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-98916, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=868, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100111000001⫢⨠≮⫘↔10010111100⨑≵⋬(≮⫘↔10011100111⊓⋫))⊅)⋕⪉⪜((⊆⋠(≮⫘↔100011000100⨎≮⫘↔1011111100001))⪎↠((≮⫘↔101000100111↙≮⫘↔11111001100)⊬⨰≮⫘↔100111000010≝⊿≮⫘↔10010010001000))=≮⫘↔11001100","reverse_text":"≮⫘↔11001100=((≮⫘↔100111000001⫢⨠≮⫘↔10010111100⨑≵⋬(≮⫘↔10011100111⊓⋫))⊅)⋕⪉⪜((⊆⋠(≮⫘↔100011000100⨎≮⫘↔1011111100001))⪎↠((≮⫘↔101000100111↙≮⫘↔11111001100)⊬⨰≮⫘↔100111000010≝⊿≮⫘↔10010010001000))","cot":[{"info":"≮⫘↔100111000001⫢⨠≮⫘↔10010111100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10011100111⊓⋫=≮⫘↔-10101100111","layer":3},{"info":"≮⫘↔10100000⨑≵⋬≮⫘↔-10101100111=≮⫘↔11110100101010","layer":2},{"info":"≮⫘↔11110100101010⊅=≮⫘↔-10101110","layer":1},{"info":"≮⫘↔100011000100⨎≮⫘↔1011111100001=≮⫘↔1011111100001","layer":3},{"info":"⊆⋠≮⫘↔1011111100001=≮⫘↔0","layer":2},{"info":"≮⫘↔101000100111↙≮⫘↔11111001100=≮⫘↔-1011101100100","layer":3},{"info":"≮⫘↔100111000010≝⊿≮⫘↔10010010001000=≮⫘↔-101010011100111","layer":3},{"info":"≮⫘↔-1011101100100⊬⨰≮⫘↔-101010011100111=≮⫘↔-11000001001100100","layer":2},{"info":"≮⫘↔0⪎↠≮⫘↔-11000001001100100=≮⫘↔1101100100","layer":1},{"info":"≮⫘↔-10101110⋕⪉⪜≮⫘↔1101100100=≮⫘↔11001100","layer":0}]}
{"id":155,"expression_no_base_symbol":"(($1361$⪡$1182$)⨽∌($3767$⇼⇔∾$3449$)≫≃)≦≮≮","expression":"((≮⫘↔10101010001⪡≮⫘↔10010011110)⨽∌(≮⫘↔111010110111⇼⇔∾≮⫘↔110101111001)≫≃)≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":107,"operation_count":5,"complexity_ratio":21.4,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1361,"base":2},"right_expr":{"type":"numeric_atoms","value":1182,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3767,"base":2},"right_expr":{"type":"numeric_atoms","value":3449,"base":2}}}}},"used_operators":["D4vGDi5EA2","X99M06cbEe","9samAPKr6k","oraRL2iQuh","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-1000001101011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1361","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=1182, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3767","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=3767, right_input=3449, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-318","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-318, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":1},{"info":"compute unary expreesion, input=1401, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4203","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101010001⪡≮⫘↔10010011110)⨽∌(≮⫘↔111010110111⇼⇔∾≮⫘↔110101111001)≫≃)≦≮≮=≮⫘↔-1000001101011","reverse_text":"≮⫘↔-1000001101011=((≮⫘↔10101010001⪡≮⫘↔10010011110)⨽∌(≮⫘↔111010110111⇼⇔∾≮⫘↔110101111001)≫≃)≦≮≮","cot":[{"info":"≮⫘↔10101010001⪡≮⫘↔10010011110=≮⫘↔1101011","layer":3},{"info":"≮⫘↔111010110111⇼⇔∾≮⫘↔110101111001=≮⫘↔-100111110","layer":3},{"info":"≮⫘↔1101011⨽∌≮⫘↔-100111110=≮⫘↔0","layer":2},{"info":"≮⫘↔0≫≃=≮⫘↔10101111001","layer":1},{"info":"≮⫘↔10101111001≦≮≮=≮⫘↔-1000001101011","layer":0}]}
{"id":156,"expression_no_base_symbol":"(($9368$⪊≅)⪡$2548$⊲⩕⊾$3784$⫥∨⫟(⊥$1751$)⩒⫫(↯⪼$6431$))⊕∕(($1341$⊴$1394$)⨥⫆($1495$⫯⪬∳$3399$)∑⇟⊟(($2302$⊍)⋖∅⋲))","expression":"((≮⫘↔10010010011000⪊≅)⪡≮⫘↔100111110100⊲⩕⊾≮⫘↔111011001000⫥∨⫟(⊥≮⫘↔11011010111)⩒⫫(↯⪼≮⫘↔1100100011111))⊕∕((≮⫘↔10100111101⊴≮⫘↔10101110010)⨥⫆(≮⫘↔10111010111⫯⪬∳≮⫘↔110101000111)∑⇟⊟((≮⫘↔100011111110⊍)⋖∅⋲))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1851,"operation_count":14,"complexity_ratio":132.21428571428572,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":9368,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2548,"base":2},"right_expr":{"type":"numeric_atoms","value":3784,"base":2}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1751,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6431,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1341,"base":2},"right_expr":{"type":"numeric_atoms","value":1394,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1495,"base":2},"right_expr":{"type":"numeric_atoms","value":3399,"base":2}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":2302,"base":2}}}}},"used_operators":["9cloC0Ngie","KYD54nUTWz","oraRL2iQuh","bjFbhXSADs","DmTXOeWf9t","KFSx94NKJn","Q3PJZHRvZv","8jW3W4yZS5","U7g4x0WXJJ","yXekIHxTD4","Nsiff2A1zJ","d7ASUq0ydm","L95AwlJzhO","3nqY3DE9mg"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","8HhzD0ZcuI","rGHVDoGpnC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","fu6greOZ01","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9368","layer":4},{"info":"compute unary expreesion, input=9368, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=2548","layer":4},{"info":"number node, value=3784","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=3784, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-75238","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-75238, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"number node, value=1751","layer":4},{"info":"compute unary expreesion, input=1751, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=6431","layer":4},{"info":"compute unary expreesion, input=6431, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1936, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1341","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1394, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=3399","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=3399, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4109","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4109, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=2302","layer":4},{"info":"compute unary expreesion, input=2302, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=5226","layer":3},{"info":"compute unary expreesion, input=5226, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-384231, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010010011000⪊≅)⪡≮⫘↔100111110100⊲⩕⊾≮⫘↔111011001000⫥∨⫟(⊥≮⫘↔11011010111)⩒⫫(↯⪼≮⫘↔1100100011111))⊕∕((≮⫘↔10100111101⊴≮⫘↔10101110010)⨥⫆(≮⫘↔10111010111⫯⪬∳≮⫘↔110101000111)∑⇟⊟((≮⫘↔100011111110⊍)⋖∅⋲))=NaN","reverse_text":"NaN=((≮⫘↔10010010011000⪊≅)⪡≮⫘↔100111110100⊲⩕⊾≮⫘↔111011001000⫥∨⫟(⊥≮⫘↔11011010111)⩒⫫(↯⪼≮⫘↔1100100011111))⊕∕((≮⫘↔10100111101⊴≮⫘↔10101110010)⨥⫆(≮⫘↔10111010111⫯⪬∳≮⫘↔110101000111)∑⇟⊟((≮⫘↔100011111110⊍)⋖∅⋲))","cot":[{"info":"≮⫘↔10010010011000⪊≅=≮⫘↔0","layer":3},{"info":"≮⫘↔100111110100⊲⩕⊾≮⫘↔111011001000=≮⫘↔-10010010111100110","layer":3},{"info":"≮⫘↔0⪡≮⫘↔-10010010111100110=≮⫘↔-11110010000","layer":2},{"info":"⊥≮⫘↔11011010111=NaN","layer":3},{"info":"↯⪼≮⫘↔1100100011111=≮⫘↔-10101","layer":3},{"info":"NaN⩒⫫≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔-11110010000⫥∨⫟NaN=NaN","layer":1},{"info":"≮⫘↔10100111101⊴≮⫘↔10101110010=NaN","layer":3},{"info":"≮⫘↔10111010111⫯⪬∳≮⫘↔110101000111=≮⫘↔1000000001101","layer":3},{"info":"NaN⨥⫆≮⫘↔1000000001101=NaN","layer":2},{"info":"≮⫘↔100011111110⊍=≮⫘↔1010001101010","layer":3},{"info":"≮⫘↔1010001101010⋖∅⋲=≮⫘↔-1011101110011100111","layer":2},{"info":"NaN∑⇟⊟≮⫘↔-1011101110011100111=NaN","layer":1},{"info":"NaN⊕∕NaN=NaN","layer":0}]}
{"id":157,"expression_no_base_symbol":"⨙⪌((($3093$⊎←↗)⪚($1259$⪶≀⋏$1031$))⩁⩘((≛$3186$)⪭($4303$∠↢$6580$)))","expression":"⨙⪌(((≮⫘↔110000010101⊎←↗)⪚(≮⫘↔10011101011⪶≀⋏≮⫘↔10000000111))⩁⩘((≛≮⫘↔110001110010)⪭(≮⫘↔1000011001111∠↢≮⫘↔1100110110100)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1005,"operation_count":8,"complexity_ratio":125.625,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":3093,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1259,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3186,"base":2}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4303,"base":2},"right_expr":{"type":"numeric_atoms","value":6580,"base":2}}}}},"used_operators":["vEGLkm4Z2k","gub5Cegaqo","HrjLwUk87U","dwb5p0fa6d","zR4jO40bMj","j9kHMeSvPp","W7eaUhjymW","KbjG8mgYpV"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","sdazOOVcIp","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"≮⫘↔1101100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3093","layer":4},{"info":"compute unary expreesion, input=3093, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-5501","layer":3},{"info":"number node, value=1259","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1031, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6071","layer":3},{"info":"compute binary expreesion, left_input=-5501, right_input=-6071, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=10126","layer":2},{"info":"number node, value=3186","layer":4},{"info":"compute unary expreesion, input=3186, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=4303","layer":4},{"info":"number node, value=6580","layer":4},{"info":"compute binary expreesion, left_input=4303, right_input=6580, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-108250","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=-108250, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-164","layer":2},{"info":"compute binary expreesion, left_input=10126, right_input=-164, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=292","layer":1},{"info":"compute unary expreesion, input=292, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":2,"result_base":2,"text":"⨙⪌(((≮⫘↔110000010101⊎←↗)⪚(≮⫘↔10011101011⪶≀⋏≮⫘↔10000000111))⩁⩘((≛≮⫘↔110001110010)⪭(≮⫘↔1000011001111∠↢≮⫘↔1100110110100)))=≮⫘↔1101100100","reverse_text":"≮⫘↔1101100100=⨙⪌(((≮⫘↔110000010101⊎←↗)⪚(≮⫘↔10011101011⪶≀⋏≮⫘↔10000000111))⩁⩘((≛≮⫘↔110001110010)⪭(≮⫘↔1000011001111∠↢≮⫘↔1100110110100)))","cot":[{"info":"≮⫘↔110000010101⊎←↗=≮⫘↔-1010101111101","layer":3},{"info":"≮⫘↔10011101011⪶≀⋏≮⫘↔10000000111=≮⫘↔-1011110110111","layer":3},{"info":"≮⫘↔-1010101111101⪚≮⫘↔-1011110110111=≮⫘↔10011110001110","layer":2},{"info":"≛≮⫘↔110001110010=≮⫘↔-1010","layer":3},{"info":"≮⫘↔1000011001111∠↢≮⫘↔1100110110100=≮⫘↔-11010011011011010","layer":3},{"info":"≮⫘↔-1010⪭≮⫘↔-11010011011011010=≮⫘↔-10100100","layer":2},{"info":"≮⫘↔10011110001110⩁⩘≮⫘↔-10100100=≮⫘↔100100100","layer":1},{"info":"⨙⪌≮⫘↔100100100=≮⫘↔1101100100","layer":0}]}
{"id":158,"expression_no_base_symbol":"⊁⨺(($5487$∋$8527$⨸⪁$1118$≃$5786$)⪍↜⋙($1713$⋣⋖$4088$)⫞⩸⩒($1951$⇴∐$1657$))","expression":"⊁⨺((≮⫘↔1010101101111∋≮⫘↔10000101001111⨸⪁≮⫘↔10001011110≃≮⫘↔1011010011010)⪍↜⋙(≮⫘↔11010110001⋣⋖≮⫘↔111111111000)⫞⩸⩒(≮⫘↔11110011111⇴∐≮⫘↔11001111001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":189,"operation_count":8,"complexity_ratio":23.625,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5487,"base":2},"right_expr":{"type":"numeric_atoms","value":8527,"base":2}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1118,"base":2},"right_expr":{"type":"numeric_atoms","value":5786,"base":2}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1713,"base":2},"right_expr":{"type":"numeric_atoms","value":4088,"base":2}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1951,"base":2},"right_expr":{"type":"numeric_atoms","value":1657,"base":2}}}}},"used_operators":["PxiHyQbrIp","L05ObWFQCd","g55IO6H4Gj","ukq6epAj5P","YbVcJGFEVW","XGcMNugi78","J0M6qkBnIM","HnzytWxmAO"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5487","layer":4},{"info":"number node, value=8527","layer":4},{"info":"compute binary expreesion, left_input=5487, right_input=8527, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=17899596","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=5786, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4512","layer":3},{"info":"compute binary expreesion, left_input=17899596, right_input=-4512, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=35790168","layer":2},{"info":"number node, value=1713","layer":4},{"info":"number node, value=4088","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=4088, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1713","layer":3},{"info":"number node, value=1951","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=1657, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1713, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1713","layer":2},{"info":"compute binary expreesion, left_input=35790168, right_input=1713, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=71576910","layer":1},{"info":"compute unary expreesion, input=71576910, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"⊁⨺((≮⫘↔1010101101111∋≮⫘↔10000101001111⨸⪁≮⫘↔10001011110≃≮⫘↔1011010011010)⪍↜⋙(≮⫘↔11010110001⋣⋖≮⫘↔111111111000)⫞⩸⩒(≮⫘↔11110011111⇴∐≮⫘↔11001111001))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=⊁⨺((≮⫘↔1010101101111∋≮⫘↔10000101001111⨸⪁≮⫘↔10001011110≃≮⫘↔1011010011010)⪍↜⋙(≮⫘↔11010110001⋣⋖≮⫘↔111111111000)⫞⩸⩒(≮⫘↔11110011111⇴∐≮⫘↔11001111001))","cot":[{"info":"≮⫘↔1010101101111∋≮⫘↔10000101001111=≮⫘↔1000100010010000001001100","layer":3},{"info":"≮⫘↔10001011110≃≮⫘↔1011010011010=≮⫘↔-1000110100000","layer":3},{"info":"≮⫘↔1000100010010000001001100⨸⪁≮⫘↔-1000110100000=≮⫘↔10001000100001110101011000","layer":2},{"info":"≮⫘↔11010110001⋣⋖≮⫘↔111111111000=≮⫘↔11010110001","layer":3},{"info":"≮⫘↔11110011111⇴∐≮⫘↔11001111001=NaN","layer":3},{"info":"≮⫘↔11010110001⫞⩸⩒NaN=≮⫘↔11010110001","layer":2},{"info":"≮⫘↔10001000100001110101011000⪍↜⋙≮⫘↔11010110001=≮⫘↔100010001000010110101001110","layer":1},{"info":"⊁⨺≮⫘↔100010001000010110101001110=≮⫘↔10100000","layer":0}]}
{"id":159,"expression_no_base_symbol":"⩒∊(($3854$⩨$4980$⫔⩽⩺(∐⩳⋚$1446$))⨔≚≋($1400$⪨⊡$2838$⊨$1934$⪶≀⋏$6524$))","expression":"⩒∊((≮⫘↔111100001110⩨≮⫘↔1001101110100⫔⩽⩺(∐⩳⋚≮⫘↔10110100110))⨔≚≋(≮⫘↔10101111000⪨⊡≮⫘↔101100010110⊨≮⫘↔11110001110⪶≀⋏≮⫘↔1100101111100))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":284,"operation_count":8,"complexity_ratio":35.5,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3854,"base":2},"right_expr":{"type":"numeric_atoms","value":4980,"base":2}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1446,"base":2}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1400,"base":2},"right_expr":{"type":"numeric_atoms","value":2838,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1934,"base":2},"right_expr":{"type":"numeric_atoms","value":6524,"base":2}}}}},"used_operators":["qazvmhNBbN","Z57zeUYC9z","i9eR4S00cU","2DlMacCsIx","SL6IHkK8vl","vg4gO5BX6G","kuIXHzHcAH","zR4jO40bMj"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Tw270M8GLb","fu6greOZ01","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3854","layer":4},{"info":"number node, value=4980","layer":4},{"info":"compute binary expreesion, left_input=3854, right_input=4980, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=199963","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=199963, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1400","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=2838, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1934","layer":4},{"info":"number node, value=6524","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=6524, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19082","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-19082, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩒∊((≮⫘↔111100001110⩨≮⫘↔1001101110100⫔⩽⩺(∐⩳⋚≮⫘↔10110100110))⨔≚≋(≮⫘↔10101111000⪨⊡≮⫘↔101100010110⊨≮⫘↔11110001110⪶≀⋏≮⫘↔1100101111100))=NaN","reverse_text":"NaN=⩒∊((≮⫘↔111100001110⩨≮⫘↔1001101110100⫔⩽⩺(∐⩳⋚≮⫘↔10110100110))⨔≚≋(≮⫘↔10101111000⪨⊡≮⫘↔101100010110⊨≮⫘↔11110001110⪶≀⋏≮⫘↔1100101111100))","cot":[{"info":"≮⫘↔111100001110⩨≮⫘↔1001101110100=≮⫘↔-11","layer":3},{"info":"∐⩳⋚≮⫘↔10110100110=≮⫘↔110000110100011011","layer":3},{"info":"≮⫘↔-11⫔⩽⩺≮⫘↔110000110100011011=NaN","layer":2},{"info":"≮⫘↔10101111000⪨⊡≮⫘↔101100010110=≮⫘↔0","layer":3},{"info":"≮⫘↔11110001110⪶≀⋏≮⫘↔1100101111100=≮⫘↔-100101010001010","layer":3},{"info":"≮⫘↔0⊨≮⫘↔-100101010001010=≮⫘↔-10101110","layer":2},{"info":"NaN⨔≚≋≮⫘↔-10101110=NaN","layer":1},{"info":"⩒∊NaN=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"((⊁⨺$3797$)≁↽≥($1071$+⪬∐$3679$)%(∤$2113$)⪢($8074$∙∹∝$1003$))⇟⨁⪰","expression":"((⊁⨺≮⫘↔111011010101)≁↽≥(≮⫘↔10000101111+⪬∐≮⫘↔111001011111)%(∤≮⫘↔100001000001)⪢(≮⫘↔1111110001010∙∹∝≮⫘↔1111101011))⇟⨁⪰","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3282,"operation_count":8,"complexity_ratio":410.25,"tree":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":3797,"base":2}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1071,"base":2},"right_expr":{"type":"numeric_atoms","value":3679,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2113,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":8074,"base":2},"right_expr":{"type":"numeric_atoms","value":1003,"base":2}}}}},"used_operators":["BX1lVwlMe0","k8jYdgA6NY","ncHt1X6cMc","PxiHyQbrIp","2GS7woTJqF","dWAJyo7jo9","k2HlF1dBQh","HmxsFra2vL"],"dependent_operators":["2DDjHMKMc0","xUOZtlo3hN","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3797","layer":4},{"info":"compute unary expreesion, input=3797, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3679","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3679, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3213","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3213, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=2113","layer":4},{"info":"compute unary expreesion, input=2113, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=8074","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=8074, right_input=1003, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊁⨺≮⫘↔111011010101)≁↽≥(≮⫘↔10000101111+⪬∐≮⫘↔111001011111)%(∤≮⫘↔100001000001)⪢(≮⫘↔1111110001010∙∹∝≮⫘↔1111101011))⇟⨁⪰=NaN","reverse_text":"NaN=((⊁⨺≮⫘↔111011010101)≁↽≥(≮⫘↔10000101111+⪬∐≮⫘↔111001011111)%(∤≮⫘↔100001000001)⪢(≮⫘↔1111110001010∙∹∝≮⫘↔1111101011))⇟⨁⪰","cot":[{"info":"⊁⨺≮⫘↔111011010101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10000101111+⪬∐≮⫘↔111001011111=≮⫘↔-110010001101","layer":3},{"info":"≮⫘↔10100000≁↽≥≮⫘↔-110010001101=≮⫘↔11000100","layer":2},{"info":"∤≮⫘↔100001000001=≮⫘↔1001","layer":3},{"info":"≮⫘↔1111110001010∙∹∝≮⫘↔1111101011=≮⫘↔0","layer":3},{"info":"≮⫘↔1001⪢≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔11000100%≮⫘↔0=NaN","layer":1},{"info":"NaN⇟⨁⪰=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"($1059$⪃⊛⇣$2311$≦↸(⫇$1328$)⊭↱($5065$⨼⩣$3630$)↞⋁($4205$⋾⨃∁$5285$))⊬⨰(($1120$⊴$3097$)⨽∌(⇋⊎⋝$5748$)⫡⨏$7463$→⨶⪴$3079$⨰($1439$⫃⨇$2292$))","expression":"(≮⫘↔10000100011⪃⊛⇣≮⫘↔100100000111≦↸(⫇≮⫘↔10100110000)⊭↱(≮⫘↔1001111001001⨼⩣≮⫘↔111000101110)↞⋁(≮⫘↔1000001101101⋾⨃∁≮⫘↔1010010100101))⊬⨰((≮⫘↔10001100000⊴≮⫘↔110000011001)⨽∌(⇋⊎⋝≮⫘↔1011001110100)⫡⨏≮⫘↔1110100100111→⨶⪴≮⫘↔110000000111⨰(≮⫘↔10110011111⫃⨇≮⫘↔100011110100))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15419,"operation_count":15,"complexity_ratio":1027.9333333333334,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1059,"base":2},"right_expr":{"type":"numeric_atoms","value":2311,"base":2}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1328,"base":2}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5065,"base":2},"right_expr":{"type":"numeric_atoms","value":3630,"base":2}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4205,"base":2},"right_expr":{"type":"numeric_atoms","value":5285,"base":2}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1120,"base":2},"right_expr":{"type":"numeric_atoms","value":3097,"base":2}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":5748,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":7463,"base":2},"right_expr":{"type":"numeric_atoms","value":3079,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1439,"base":2},"right_expr":{"type":"numeric_atoms","value":2292,"base":2}}}}},"used_operators":["s3Fd5m9Dh2","COABgblf1C","RygbFNSyEJ","rrgAzCduG9","YjI8oCXuph","RqrPlJkxDo","JxwMv5le6e","212REbPD9h","QMFrweE19q","9samAPKr6k","Nsiff2A1zJ","CzM2PEoXns","eewbuw0ToL","bF6eod5Gvf","09Ly4LVMIf"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2311, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1442","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-1442, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-553","layer":2},{"info":"number node, value=5065","layer":4},{"info":"number node, value=3630","layer":4},{"info":"compute binary expreesion, left_input=5065, right_input=3630, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=4205","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=4205, right_input=5285, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=279248736","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=279248736, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-553, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1120","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=3097, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5748","layer":4},{"info":"compute unary expreesion, input=5748, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"number node, value=7463","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=7463, right_input=3079, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-9237","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=2292, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9200","layer":3},{"info":"compute binary expreesion, left_input=-9237, right_input=-9200, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-27","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-27, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000100011⪃⊛⇣≮⫘↔100100000111≦↸(⫇≮⫘↔10100110000)⊭↱(≮⫘↔1001111001001⨼⩣≮⫘↔111000101110)↞⋁(≮⫘↔1000001101101⋾⨃∁≮⫘↔1010010100101))⊬⨰((≮⫘↔10001100000⊴≮⫘↔110000011001)⨽∌(⇋⊎⋝≮⫘↔1011001110100)⫡⨏≮⫘↔1110100100111→⨶⪴≮⫘↔110000000111⨰(≮⫘↔10110011111⫃⨇≮⫘↔100011110100))=NaN","reverse_text":"NaN=(≮⫘↔10000100011⪃⊛⇣≮⫘↔100100000111≦↸(⫇≮⫘↔10100110000)⊭↱(≮⫘↔1001111001001⨼⩣≮⫘↔111000101110)↞⋁(≮⫘↔1000001101101⋾⨃∁≮⫘↔1010010100101))⊬⨰((≮⫘↔10001100000⊴≮⫘↔110000011001)⨽∌(⇋⊎⋝≮⫘↔1011001110100)⫡⨏≮⫘↔1110100100111→⨶⪴≮⫘↔110000000111⨰(≮⫘↔10110011111⫃⨇≮⫘↔100011110100))","cot":[{"info":"≮⫘↔10000100011⪃⊛⇣≮⫘↔100100000111=≮⫘↔10011010010","layer":3},{"info":"⫇≮⫘↔10100110000=≮⫘↔-10110100010","layer":3},{"info":"≮⫘↔10011010010≦↸≮⫘↔-10110100010=≮⫘↔-1000101001","layer":2},{"info":"≮⫘↔1001111001001⨼⩣≮⫘↔111000101110=NaN","layer":3},{"info":"≮⫘↔1000001101101⋾⨃∁≮⫘↔1010010100101=≮⫘↔10000101001001111111101100000","layer":3},{"info":"NaN↞⋁≮⫘↔10000101001001111111101100000=NaN","layer":2},{"info":"≮⫘↔-1000101001⊭↱NaN=NaN","layer":1},{"info":"≮⫘↔10001100000⊴≮⫘↔110000011001=NaN","layer":3},{"info":"⇋⊎⋝≮⫘↔1011001110100=NaN","layer":3},{"info":"NaN⨽∌NaN=NaN","layer":2},{"info":"≮⫘↔1110100100111→⨶⪴≮⫘↔110000000111=≮⫘↔-10010000010101","layer":3},{"info":"≮⫘↔10110011111⫃⨇≮⫘↔100011110100=≮⫘↔-10001111110000","layer":3},{"info":"≮⫘↔-10010000010101⨰≮⫘↔-10001111110000=≮⫘↔-11011","layer":2},{"info":"NaN⫡⨏≮⫘↔-11011=NaN","layer":1},{"info":"NaN⊬⨰NaN=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"(($4074$⩷∴$2570$⊭↱($4707$⩟))⨎(($2617$/$1289$)⨎$3657$⊴$5203$))⫍⨯↯","expression":"((≮⫘↔111111101010⩷∴≮⫘↔101000001010⊭↱(≮⫘↔1001001100011⩟))⨎((≮⫘↔101000111001/≮⫘↔10100001001)⨎≮⫘↔111001001001⊴≮⫘↔1010001010011))⫍⨯↯","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5247,"operation_count":8,"complexity_ratio":655.875,"tree":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4074,"base":2},"right_expr":{"type":"numeric_atoms","value":2570,"base":2}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":4707,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2617,"base":2},"right_expr":{"type":"numeric_atoms","value":1289,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3657,"base":2},"right_expr":{"type":"numeric_atoms","value":5203,"base":2}}}}},"used_operators":["ZcwmYACASQ","rJVOvQCfKK","COABgblf1C","9FxExcQeMw","fOIeswaMU4","XhwjNDsVaA","Nsiff2A1zJ"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4074","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=4074, right_input=2570, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2976","layer":3},{"info":"number node, value=4707","layer":4},{"info":"compute unary expreesion, input=4707, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-41136","layer":3},{"info":"compute binary expreesion, left_input=2976, right_input=-41136, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-88219","layer":2},{"info":"number node, value=2617","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1289, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=3657","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=5203, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-88219, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111111101010⩷∴≮⫘↔101000001010⊭↱(≮⫘↔1001001100011⩟))⨎((≮⫘↔101000111001/≮⫘↔10100001001)⨎≮⫘↔111001001001⊴≮⫘↔1010001010011))⫍⨯↯=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=((≮⫘↔111111101010⩷∴≮⫘↔101000001010⊭↱(≮⫘↔1001001100011⩟))⨎((≮⫘↔101000111001/≮⫘↔10100001001)⨎≮⫘↔111001001001⊴≮⫘↔1010001010011))⫍⨯↯","cot":[{"info":"≮⫘↔111111101010⩷∴≮⫘↔101000001010=≮⫘↔101110100000","layer":3},{"info":"≮⫘↔1001001100011⩟=≮⫘↔-1010000010110000","layer":3},{"info":"≮⫘↔101110100000⊭↱≮⫘↔-1010000010110000=≮⫘↔-10101100010011011","layer":2},{"info":"≮⫘↔101000111001/≮⫘↔10100001001=≮⫘↔10","layer":3},{"info":"≮⫘↔111001001001⊴≮⫘↔1010001010011=NaN","layer":3},{"info":"≮⫘↔10⨎NaN=NaN","layer":2},{"info":"≮⫘↔-10101100010011011⨎NaN=NaN","layer":1},{"info":"NaN⫍⨯↯=≮⫘↔-10000110","layer":0}]}
{"id":163,"expression_no_base_symbol":"↣≠⋷(($2901$⫿)⊢($1806$⊾⪯⋞$4744$)⨪↰⇹(⨣⨃⇪($1390$⊹∫⫚$2122$)))","expression":"↣≠⋷((≮⫘↔101101010101⫿)⊢(≮⫘↔11100001110⊾⪯⋞≮⫘↔1001010001000)⨪↰⇹(⨣⨃⇪(≮⫘↔10101101110⊹∫⫚≮⫘↔100001001010)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6177,"operation_count":7,"complexity_ratio":882.4285714285714,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2901,"base":2}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1806,"base":2},"right_expr":{"type":"numeric_atoms","value":4744,"base":2}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":2122,"base":2}}}}},"used_operators":["Asc51vEJeQ","tmPS8pqC7x","5twsqlHp2o","9tKT6PmtkH","HK0tfVPux8","AcOhelriW5","uWAJUKEvyW"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2901","layer":4},{"info":"compute unary expreesion, input=2901, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2901","layer":3},{"info":"number node, value=1806","layer":4},{"info":"number node, value=4744","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=4744, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=9062","layer":3},{"info":"compute binary expreesion, left_input=2901, right_input=9062, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6046","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=2122, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-224","layer":3},{"info":"compute unary expreesion, input=-224, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=-6046, right_input=1405, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-6046","layer":1},{"info":"compute unary expreesion, input=-6046, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↣≠⋷((≮⫘↔101101010101⫿)⊢(≮⫘↔11100001110⊾⪯⋞≮⫘↔1001010001000)⨪↰⇹(⨣⨃⇪(≮⫘↔10101101110⊹∫⫚≮⫘↔100001001010)))=NaN","reverse_text":"NaN=↣≠⋷((≮⫘↔101101010101⫿)⊢(≮⫘↔11100001110⊾⪯⋞≮⫘↔1001010001000)⨪↰⇹(⨣⨃⇪(≮⫘↔10101101110⊹∫⫚≮⫘↔100001001010)))","cot":[{"info":"≮⫘↔101101010101⫿=≮⫘↔101101010101","layer":3},{"info":"≮⫘↔11100001110⊾⪯⋞≮⫘↔1001010001000=≮⫘↔10001101100110","layer":3},{"info":"≮⫘↔101101010101⊢≮⫘↔10001101100110=≮⫘↔-1011110011110","layer":2},{"info":"≮⫘↔10101101110⊹∫⫚≮⫘↔100001001010=≮⫘↔-11100000","layer":3},{"info":"⨣⨃⇪≮⫘↔-11100000=≮⫘↔10101111101","layer":2},{"info":"≮⫘↔-1011110011110⨪↰⇹≮⫘↔10101111101=≮⫘↔-1011110011110","layer":1},{"info":"↣≠⋷≮⫘↔-1011110011110=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"((∷≠(⫛⫱⨽$1020$))∷(≯($1607$⨚⇆$3517$)))⨌↪","expression":"((∷≠(⫛⫱⨽≮⫘↔1111111100))∷(≯(≮⫘↔11001000111⨚⇆≮⫘↔110110111101)))⨌↪","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12728,"operation_count":6,"complexity_ratio":2121.3333333333335,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1020,"base":2}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1607,"base":2},"right_expr":{"type":"numeric_atoms","value":3517,"base":2}}}}},"used_operators":["cWQsF5MvuD","D3AQDKkPcf","QiR2Oyf5Xj","DlLNRPXxWL","keWfFq85dY","lwHaAYXP2r"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","7j4O788W3g","rGHVDoGpnC","g55IO6H4Gj","JLbD19bQDL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"≮⫘↔-111100000","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=0","layer":2},{"info":"number node, value=1607","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=3517, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":2,"result_base":2,"text":"((∷≠(⫛⫱⨽≮⫘↔1111111100))∷(≯(≮⫘↔11001000111⨚⇆≮⫘↔110110111101)))⨌↪=≮⫘↔-111100000","reverse_text":"≮⫘↔-111100000=((∷≠(⫛⫱⨽≮⫘↔1111111100))∷(≯(≮⫘↔11001000111⨚⇆≮⫘↔110110111101)))⨌↪","cot":[{"info":"⫛⫱⨽≮⫘↔1111111100=≮⫘↔0","layer":3},{"info":"∷≠≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔11001000111⨚⇆≮⫘↔110110111101=NaN","layer":3},{"info":"≯NaN=NaN","layer":2},{"info":"≮⫘↔0∷NaN=NaN","layer":1},{"info":"NaN⨌↪=≮⫘↔-111100000","layer":0}]}
{"id":165,"expression_no_base_symbol":"(≦∁(⇘$1225$)⩁⩘($1616$⫌⩉⩟$3039$))⇷(((⊖∈$3362$)∘$1767$⪬$2337$)⨌↪)","expression":"(≦∁(⇘≮⫘↔10011001001)⩁⩘(≮⫘↔11001010000⫌⩉⩟≮⫘↔101111011111))⇷(((⊖∈≮⫘↔110100100010)∘≮⫘↔11011100111⪬≮⫘↔100100100001)⨌↪)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28909,"operation_count":9,"complexity_ratio":3212.1111111111113,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1225,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1616,"base":2},"right_expr":{"type":"numeric_atoms","value":3039,"base":2}}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":3362,"base":2}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1767,"base":2},"right_expr":{"type":"numeric_atoms","value":2337,"base":2}}}}},"used_operators":["mp7IySMOzn","9ICcGScMcE","gub5Cegaqo","MGuIdZPyUC","XIIwhv8d0m","cWQsF5MvuD","Z5m6OM72h2","YFxL8Sc2Zy","Ez1Nq5fNfI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","IWmyXbctLI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=67882","layer":3},{"info":"number node, value=1616","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=3039, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=67882, right_input=-50, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=748","layer":2},{"info":"compute unary expreesion, input=748, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=748","layer":1},{"info":"number node, value=3362","layer":4},{"info":"compute unary expreesion, input=3362, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=61646","layer":3},{"info":"number node, value=1767","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=2337, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=61646, right_input=1234, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=123292","layer":2},{"info":"compute unary expreesion, input=123292, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=748, right_input=-480, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≦∁(⇘≮⫘↔10011001001)⩁⩘(≮⫘↔11001010000⫌⩉⩟≮⫘↔101111011111))⇷(((⊖∈≮⫘↔110100100010)∘≮⫘↔11011100111⪬≮⫘↔100100100001)⨌↪)=NaN","reverse_text":"NaN=(≦∁(⇘≮⫘↔10011001001)⩁⩘(≮⫘↔11001010000⫌⩉⩟≮⫘↔101111011111))⇷(((⊖∈≮⫘↔110100100010)∘≮⫘↔11011100111⪬≮⫘↔100100100001)⨌↪)","cot":[{"info":"⇘≮⫘↔10011001001=≮⫘↔10000100100101010","layer":3},{"info":"≮⫘↔11001010000⫌⩉⩟≮⫘↔101111011111=≮⫘↔-110010","layer":3},{"info":"≮⫘↔10000100100101010⩁⩘≮⫘↔-110010=≮⫘↔1011101100","layer":2},{"info":"≦∁≮⫘↔1011101100=≮⫘↔1011101100","layer":1},{"info":"⊖∈≮⫘↔110100100010=≮⫘↔1111000011001110","layer":3},{"info":"≮⫘↔11011100111⪬≮⫘↔100100100001=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1111000011001110∘≮⫘↔10011010010=≮⫘↔11110000110011100","layer":2},{"info":"≮⫘↔11110000110011100⨌↪=≮⫘↔-111100000","layer":1},{"info":"≮⫘↔1011101100⇷≮⫘↔-111100000=NaN","layer":0}]}
{"id":166,"expression_no_base_symbol":"(→⩰$3610$⊕∕$5666$)⩖⊿(($2913$⊹∫⫚$2876$)⩖⊿($2401$⨪↰⇹$3461$))⪓⨏","expression":"(→⩰≮⫘↔111000011010⊕∕≮⫘↔1011000100010)⩖⊿((≮⫘↔101101100001⊹∫⫚≮⫘↔101100111100)⩖⊿(≮⫘↔100101100001⨪↰⇹≮⫘↔110110000101))⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6649,"operation_count":7,"complexity_ratio":949.8571428571429,"tree":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3610,"base":2},"right_expr":{"type":"numeric_atoms","value":5666,"base":2}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2913,"base":2},"right_expr":{"type":"numeric_atoms","value":2876,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2401,"base":2},"right_expr":{"type":"numeric_atoms","value":3461,"base":2}}}}},"used_operators":["4X9JU4Jbn6","RZ5CV9rWsJ","o8Pngz0Tml","9cloC0Ngie","uWAJUKEvyW","tmPS8pqC7x"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3610","layer":4},{"info":"number node, value=5666","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=5666, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3610","layer":3},{"info":"compute unary expreesion, input=3610, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=2913","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=2913, right_input=2876, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-376","layer":3},{"info":"number node, value=2401","layer":4},{"info":"number node, value=3461","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=3461, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2401","layer":3},{"info":"compute binary expreesion, left_input=-376, right_input=2401, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2888","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2888, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(→⩰≮⫘↔111000011010⊕∕≮⫘↔1011000100010)⩖⊿((≮⫘↔101101100001⊹∫⫚≮⫘↔101100111100)⩖⊿(≮⫘↔100101100001⨪↰⇹≮⫘↔110110000101))⪓⨏=NaN","reverse_text":"NaN=(→⩰≮⫘↔111000011010⊕∕≮⫘↔1011000100010)⩖⊿((≮⫘↔101101100001⊹∫⫚≮⫘↔101100111100)⩖⊿(≮⫘↔100101100001⨪↰⇹≮⫘↔110110000101))⪓⨏","cot":[{"info":"≮⫘↔111000011010⊕∕≮⫘↔1011000100010=≮⫘↔111000011010","layer":3},{"info":"→⩰≮⫘↔111000011010=NaN","layer":2},{"info":"≮⫘↔101101100001⊹∫⫚≮⫘↔101100111100=≮⫘↔-101111000","layer":3},{"info":"≮⫘↔100101100001⨪↰⇹≮⫘↔110110000101=≮⫘↔100101100001","layer":3},{"info":"≮⫘↔-101111000⩖⊿≮⫘↔100101100001=≮⫘↔-101101001000","layer":2},{"info":"NaN⩖⊿≮⫘↔-101101001000=NaN","layer":1},{"info":"NaN⪓⨏=NaN","layer":0}]}
{"id":167,"expression_no_base_symbol":"(⩒∊($6555$⪭$4101$⪕$3994$⪔⊥$2628$))⋥≓≎(($1585$*$1303$)∴($1867$≎⊠⪸$1258$))⇂≾⫗($8504$↳≱$5181$⇞)","expression":"(⩒∊(≮⫘↔1100110011011⪭≮⫘↔1000000000101⪕≮⫘↔111110011010⪔⊥≮⫘↔101001000100))⋥≓≎((≮⫘↔11000110001*≮⫘↔10100010111)∴(≮⫘↔11101001011≎⊠⪸≮⫘↔10011101010))⇂≾⫗(≮⫘↔10000100111000↳≱≮⫘↔1010000111101⇞)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1799,"operation_count":11,"complexity_ratio":163.54545454545453,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6555,"base":2},"right_expr":{"type":"numeric_atoms","value":4101,"base":2}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3994,"base":2},"right_expr":{"type":"numeric_atoms","value":2628,"base":2}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1585,"base":2},"right_expr":{"type":"numeric_atoms","value":1303,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1867,"base":2},"right_expr":{"type":"numeric_atoms","value":1258,"base":2}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":8504,"base":2},"right_expr":{"type":"numeric_atoms","value":5181,"base":2}}}}},"used_operators":["Qy55tPpLXF","qazvmhNBbN","umQnsF7QlU","j9kHMeSvPp","HJ9erzHUuu","aBQ6xLxuTc","hrf7POJlIJ","9HNa5Wba9A","bJkvcejdHO","5JYyxRJd4f","JwTKLfZU96"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6555","layer":4},{"info":"number node, value=4101","layer":4},{"info":"compute binary expreesion, left_input=6555, right_input=4101, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3994","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=2628, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=10521","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=10521, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1438","layer":1},{"info":"number node, value=1585","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=1303, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2065255","layer":3},{"info":"number node, value=1867","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=1258, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=483080","layer":3},{"info":"compute binary expreesion, left_input=2065255, right_input=483080, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4132158","layer":2},{"info":"number node, value=8504","layer":4},{"info":"number node, value=5181","layer":4},{"info":"compute binary expreesion, left_input=8504, right_input=5181, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":2},{"info":"compute binary expreesion, left_input=4132158, right_input=-537, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=-1438, right_input=-676, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(⩒∊(≮⫘↔1100110011011⪭≮⫘↔1000000000101⪕≮⫘↔111110011010⪔⊥≮⫘↔101001000100))⋥≓≎((≮⫘↔11000110001*≮⫘↔10100010111)∴(≮⫘↔11101001011≎⊠⪸≮⫘↔10011101010))⇂≾⫗(≮⫘↔10000100111000↳≱≮⫘↔1010000111101⇞)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(⩒∊(≮⫘↔1100110011011⪭≮⫘↔1000000000101⪕≮⫘↔111110011010⪔⊥≮⫘↔101001000100))⋥≓≎((≮⫘↔11000110001*≮⫘↔10100010111)∴(≮⫘↔11101001011≎⊠⪸≮⫘↔10011101010))⇂≾⫗(≮⫘↔10000100111000↳≱≮⫘↔1010000111101⇞)","cot":[{"info":"≮⫘↔1100110011011⪭≮⫘↔1000000000101=≮⫘↔101","layer":3},{"info":"≮⫘↔111110011010⪔⊥≮⫘↔101001000100=≮⫘↔10100100011001","layer":3},{"info":"≮⫘↔101⪕≮⫘↔10100100011001=≮⫘↔-110111","layer":2},{"info":"⩒∊≮⫘↔-110111=≮⫘↔-10110011110","layer":1},{"info":"≮⫘↔11000110001*≮⫘↔10100010111=≮⫘↔111111000001101100111","layer":3},{"info":"≮⫘↔11101001011≎⊠⪸≮⫘↔10011101010=≮⫘↔1110101111100001000","layer":3},{"info":"≮⫘↔111111000001101100111∴≮⫘↔1110101111100001000=≮⫘↔1111110000110100111110","layer":2},{"info":"≮⫘↔10000100111000↳≱≮⫘↔1010000111101=≮⫘↔0","layer":3},{"info":"≮⫘↔0⇞=≮⫘↔-1000011001","layer":2},{"info":"≮⫘↔1111110000110100111110⇂≾⫗≮⫘↔-1000011001=≮⫘↔-1010100100","layer":1},{"info":"≮⫘↔-10110011110⋥≓≎≮⫘↔-1010100100=≮⫘↔1000011","layer":0}]}
{"id":168,"expression_no_base_symbol":"((⪭⩑⪱$7088$⋕⪉⪜$8835$)⫘(⊖∈($1471$⨑≵⋬$5447$)))⨿(≛($5914$⨒$2289$)⩵∡(≋$1683$))","expression":"((⪭⩑⪱≮⫘↔1101110110000⋕⪉⪜≮⫘↔10001010000011)⫘(⊖∈(≮⫘↔10110111111⨑≵⋬≮⫘↔1010101000111)))⨿(≛(≮⫘↔1011100011010⨒≮⫘↔100011110001)⩵∡(≋≮⫘↔11010010011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":132697,"operation_count":10,"complexity_ratio":13269.7,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":7088,"base":2},"right_expr":{"type":"numeric_atoms","value":8835,"base":2}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1471,"base":2},"right_expr":{"type":"numeric_atoms","value":5447,"base":2}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5914,"base":2},"right_expr":{"type":"numeric_atoms","value":2289,"base":2}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1683,"base":2}}}}},"used_operators":["abYXlopdE0","48vC8HMD2b","SIgE0bArFf","z6LnFrNh4i","YFxL8Sc2Zy","XnXgA4xnOs","W7eaUhjymW","Y7wcNGrDQJ","y75s1iXyHd","61wBmkZwlr"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","7j4O788W3g"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7088","layer":4},{"info":"number node, value=8835","layer":4},{"info":"compute binary expreesion, left_input=7088, right_input=8835, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=1471","layer":4},{"info":"number node, value=5447","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=5447, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-29395","layer":3},{"info":"compute unary expreesion, input=-29395, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=inf, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"number node, value=5914","layer":4},{"info":"number node, value=2289","layer":4},{"info":"compute binary expreesion, left_input=5914, right_input=2289, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-35112","layer":3},{"info":"number node, value=1683","layer":4},{"info":"compute unary expreesion, input=1683, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1683","layer":3},{"info":"compute binary expreesion, left_input=-35112, right_input=1683, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=106898","layer":2},{"info":"compute unary expreesion, input=106898, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":2,"result_base":2,"text":"((⪭⩑⪱≮⫘↔1101110110000⋕⪉⪜≮⫘↔10001010000011)⫘(⊖∈(≮⫘↔10110111111⨑≵⋬≮⫘↔1010101000111)))⨿(≛(≮⫘↔1011100011010⨒≮⫘↔100011110001)⩵∡(≋≮⫘↔11010010011))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((⪭⩑⪱≮⫘↔1101110110000⋕⪉⪜≮⫘↔10001010000011)⫘(⊖∈(≮⫘↔10110111111⨑≵⋬≮⫘↔1010101000111)))⨿(≛(≮⫘↔1011100011010⨒≮⫘↔100011110001)⩵∡(≋≮⫘↔11010010011))","cot":[{"info":"≮⫘↔1101110110000⋕⪉⪜≮⫘↔10001010000011=≮⫘↔11001100","layer":3},{"info":"⪭⩑⪱≮⫘↔11001100=≮⫘↔11111101111011011110000","layer":2},{"info":"≮⫘↔10110111111⨑≵⋬≮⫘↔1010101000111=≮⫘↔-111001011010011","layer":3},{"info":"⊖∈≮⫘↔-111001011010011=Inf","layer":2},{"info":"≮⫘↔11111101111011011110000⫘Inf=NaN","layer":1},{"info":"≮⫘↔1011100011010⨒≮⫘↔100011110001=≮⫘↔-1000100100101000","layer":3},{"info":"≋≮⫘↔11010010011=≮⫘↔11010010011","layer":3},{"info":"≮⫘↔-1000100100101000⩵∡≮⫘↔11010010011=≮⫘↔11010000110010010","layer":2},{"info":"≛≮⫘↔11010000110010010=≮⫘↔-1010","layer":1},{"info":"NaN⨿≮⫘↔-1010=≮⫘↔1000011","layer":0}]}
{"id":169,"expression_no_base_symbol":"((($3699$⨐⩸⫘$4982$)∝$3699$≝⊿$3185$)⋐⇩⊬)⪝(⋠∜(↥$1524$)≝⊿($6467$⫸⊐$3546$))","expression":"(((≮⫘↔111001110011⨐⩸⫘≮⫘↔1001101110110)∝≮⫘↔111001110011≝⊿≮⫘↔110001110001)⋐⇩⊬)⪝(⋠∜(↥≮⫘↔10111110100)≝⊿(≮⫘↔1100101000011⫸⊐≮⫘↔110111011010))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":528,"operation_count":9,"complexity_ratio":58.666666666666664,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3699,"base":2},"right_expr":{"type":"numeric_atoms","value":4982,"base":2}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3699,"base":2},"right_expr":{"type":"numeric_atoms","value":3185,"base":2}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1524,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6467,"base":2},"right_expr":{"type":"numeric_atoms","value":3546,"base":2}}}}},"used_operators":["wicAB68Tmb","JuuLT1NoCs","cTDWOvIxvz","fu6greOZ01","OKKcZfAt5B","ZJpFhNJr3x","A8NUZmVepG","mqXw5SEYmG"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","7j4O788W3g","W4YGzv6Whe","COABgblf1C","3ViojmjbAp","12rbrZMWeM","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3699","layer":4},{"info":"number node, value=4982","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=4982, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3699","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=3185, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10602","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10602, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=nan","layer":1},{"info":"number node, value=1524","layer":4},{"info":"compute unary expreesion, input=1524, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":3},{"info":"number node, value=6467","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=6467, right_input=3546, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14059","layer":3},{"info":"compute binary expreesion, left_input=45, right_input=14059, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-28696","layer":2},{"info":"compute unary expreesion, input=-28696, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-112500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-112500, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔111001110011⨐⩸⫘≮⫘↔1001101110110)∝≮⫘↔111001110011≝⊿≮⫘↔110001110001)⋐⇩⊬)⪝(⋠∜(↥≮⫘↔10111110100)≝⊿(≮⫘↔1100101000011⫸⊐≮⫘↔110111011010))=NaN","reverse_text":"NaN=(((≮⫘↔111001110011⨐⩸⫘≮⫘↔1001101110110)∝≮⫘↔111001110011≝⊿≮⫘↔110001110001)⋐⇩⊬)⪝(⋠∜(↥≮⫘↔10111110100)≝⊿(≮⫘↔1100101000011⫸⊐≮⫘↔110111011010))","cot":[{"info":"≮⫘↔111001110011⨐⩸⫘≮⫘↔1001101110110=NaN","layer":3},{"info":"≮⫘↔111001110011≝⊿≮⫘↔110001110001=≮⫘↔-10100101101010","layer":3},{"info":"NaN∝≮⫘↔-10100101101010=NaN","layer":2},{"info":"NaN⋐⇩⊬=NaN","layer":1},{"info":"↥≮⫘↔10111110100=≮⫘↔101101","layer":3},{"info":"≮⫘↔1100101000011⫸⊐≮⫘↔110111011010=≮⫘↔11011011101011","layer":3},{"info":"≮⫘↔101101≝⊿≮⫘↔11011011101011=≮⫘↔-111000000011000","layer":2},{"info":"⋠∜≮⫘↔-111000000011000=≮⫘↔-11011011101110100","layer":1},{"info":"NaN⪝≮⫘↔-11011011101110100=NaN","layer":0}]}
{"id":170,"expression_no_base_symbol":"(($2106$⪬$4375$⋆⋳)⨎⋸⪻)⇴($4896$≳⇉$2254$⇮⋭($4708$⫃⨇$1144$))⇂≾⫗($9207$≧⫂∧$1893$)⪃⊛⇣($2055$≀⩗∶$1470$)","expression":"((≮⫘↔100000111010⪬≮⫘↔1000100010111⋆⋳)⨎⋸⪻)⇴(≮⫘↔1001100100000≳⇉≮⫘↔100011001110⇮⋭(≮⫘↔1001001100100⫃⨇≮⫘↔10001111000))⇂≾⫗(≮⫘↔10001111110111≧⫂∧≮⫘↔11101100101)⪃⊛⇣(≮⫘↔100000000111≀⩗∶≮⫘↔10110111110)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":73249832,"operation_count":11,"complexity_ratio":6659075.636363637,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2106,"base":2},"right_expr":{"type":"numeric_atoms","value":4375,"base":2}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4896,"base":2},"right_expr":{"type":"numeric_atoms","value":2254,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4708,"base":2},"right_expr":{"type":"numeric_atoms","value":1144,"base":2}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9207,"base":2},"right_expr":{"type":"numeric_atoms","value":1893,"base":2}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2055,"base":2},"right_expr":{"type":"numeric_atoms","value":1470,"base":2}}}}},"used_operators":["4JB6nKBMSY","Dk5vyLCiGd","6MpZysEj17","Ez1Nq5fNfI","aBQ6xLxuTc","vkpjKywKVM","V0kx6qeWkN","09Ly4LVMIf","rrgAzCduG9","Ph9nP6C5qx","8INZBEW696"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","IWmyXbctLI","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"≮⫘↔-111010010010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2106","layer":4},{"info":"number node, value=4375","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=4375, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2500","layer":2},{"info":"compute unary expreesion, input=-2500, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-4684","layer":1},{"info":"number node, value=4896","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=4896, right_input=2254, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=4708","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=4708, right_input=1144, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4608, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=9207","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=9207, right_input=1893, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1420","layer":3},{"info":"number node, value=2055","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=1470, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1420, right_input=0, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1234, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=-4684, right_input=-676, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-29842","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100000111010⪬≮⫘↔1000100010111⋆⋳)⨎⋸⪻)⇴(≮⫘↔1001100100000≳⇉≮⫘↔100011001110⇮⋭(≮⫘↔1001001100100⫃⨇≮⫘↔10001111000))⇂≾⫗(≮⫘↔10001111110111≧⫂∧≮⫘↔11101100101)⪃⊛⇣(≮⫘↔100000000111≀⩗∶≮⫘↔10110111110)=≮⫘↔-111010010010010","reverse_text":"≮⫘↔-111010010010010=((≮⫘↔100000111010⪬≮⫘↔1000100010111⋆⋳)⨎⋸⪻)⇴(≮⫘↔1001100100000≳⇉≮⫘↔100011001110⇮⋭(≮⫘↔1001001100100⫃⨇≮⫘↔10001111000))⇂≾⫗(≮⫘↔10001111110111≧⫂∧≮⫘↔11101100101)⪃⊛⇣(≮⫘↔100000000111≀⩗∶≮⫘↔10110111110)","cot":[{"info":"≮⫘↔100000111010⪬≮⫘↔1000100010111=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011010010⋆⋳=≮⫘↔-100111000100","layer":2},{"info":"≮⫘↔-100111000100⨎⋸⪻=≮⫘↔-1001001001100","layer":1},{"info":"≮⫘↔1001100100000≳⇉≮⫘↔100011001110=NaN","layer":3},{"info":"≮⫘↔1001001100100⫃⨇≮⫘↔10001111000=≮⫘↔-1001000000000","layer":3},{"info":"NaN⇮⋭≮⫘↔-1001000000000=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10001111110111≧⫂∧≮⫘↔11101100101=≮⫘↔10110001100","layer":3},{"info":"≮⫘↔100000000111≀⩗∶≮⫘↔10110111110=≮⫘↔0","layer":3},{"info":"≮⫘↔10110001100⪃⊛⇣≮⫘↔0=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔1000011⇂≾⫗≮⫘↔10011010010=≮⫘↔-1010100100","layer":1},{"info":"≮⫘↔-1001001001100⇴≮⫘↔-1010100100=≮⫘↔-111010010010010","layer":0}]}
{"id":171,"expression_no_base_symbol":"($2963$⪍↜⋙$3050$⪐)≌(($4074$⫡⨏$2524$)≄⊠$1324$⨥⫆$4403$)∙∹∝(($6803$⫲≸⪮$1570$)⪭($1083$⇽⩪)∖(⩷($4180$≀⫉$2940$)))","expression":"(≮⫘↔101110010011⪍↜⋙≮⫘↔101111101010⪐)≌((≮⫘↔111111101010⫡⨏≮⫘↔100111011100)≄⊠≮⫘↔10100101100⨥⫆≮⫘↔1000100110011)∙∹∝((≮⫘↔1101010010011⫲≸⪮≮⫘↔11000100010)⪭(≮⫘↔10000111011⇽⩪)∖(⩷(≮⫘↔1000001010100≀⫉≮⫘↔101101111100)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":151016,"operation_count":13,"complexity_ratio":11616.615384615385,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2963,"base":2},"right_expr":{"type":"numeric_atoms","value":3050,"base":2}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4074,"base":2},"right_expr":{"type":"numeric_atoms","value":2524,"base":2}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1324,"base":2},"right_expr":{"type":"numeric_atoms","value":4403,"base":2}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6803,"base":2},"right_expr":{"type":"numeric_atoms","value":1570,"base":2}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1083,"base":2}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4180,"base":2},"right_expr":{"type":"numeric_atoms","value":2940,"base":2}}}}},"used_operators":["HmxsFra2vL","lyWz822IDG","eH2TOUuTDT","L05ObWFQCd","vXNesLlMH1","QMFrweE19q","yXekIHxTD4","tXD093vOjl","j9kHMeSvPp","P3lXMJvFrc","FonBHBYJbU","1h0rLqGiFr","oZj3VtZNQx"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","COABgblf1C","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2963","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=3050, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-21698","layer":3},{"info":"compute unary expreesion, input=-21698, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-43396","layer":2},{"info":"number node, value=4074","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=4074, right_input=2524, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26201","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=4403","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=4403, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=8682","layer":3},{"info":"compute binary expreesion, left_input=26201, right_input=8682, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=143580","layer":2},{"info":"compute binary expreesion, left_input=-43396, right_input=143580, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=6803","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=6803, right_input=1570, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6803","layer":3},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=2688","layer":3},{"info":"compute binary expreesion, left_input=6803, right_input=2688, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=4180","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=2940, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-33943","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=-33943, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101110010011⪍↜⋙≮⫘↔101111101010⪐)≌((≮⫘↔111111101010⫡⨏≮⫘↔100111011100)≄⊠≮⫘↔10100101100⨥⫆≮⫘↔1000100110011)∙∹∝((≮⫘↔1101010010011⫲≸⪮≮⫘↔11000100010)⪭(≮⫘↔10000111011⇽⩪)∖(⩷(≮⫘↔1000001010100≀⫉≮⫘↔101101111100)))=NaN","reverse_text":"NaN=(≮⫘↔101110010011⪍↜⋙≮⫘↔101111101010⪐)≌((≮⫘↔111111101010⫡⨏≮⫘↔100111011100)≄⊠≮⫘↔10100101100⨥⫆≮⫘↔1000100110011)∙∹∝((≮⫘↔1101010010011⫲≸⪮≮⫘↔11000100010)⪭(≮⫘↔10000111011⇽⩪)∖(⩷(≮⫘↔1000001010100≀⫉≮⫘↔101101111100)))","cot":[{"info":"≮⫘↔101110010011⪍↜⋙≮⫘↔101111101010=≮⫘↔-101010011000010","layer":3},{"info":"≮⫘↔-101010011000010⪐=≮⫘↔-1010100110000100","layer":2},{"info":"≮⫘↔111111101010⫡⨏≮⫘↔100111011100=≮⫘↔110011001011001","layer":3},{"info":"≮⫘↔10100101100⨥⫆≮⫘↔1000100110011=≮⫘↔10000111101010","layer":3},{"info":"≮⫘↔110011001011001≄⊠≮⫘↔10000111101010=≮⫘↔100011000011011100","layer":2},{"info":"≮⫘↔-1010100110000100≌≮⫘↔100011000011011100=NaN","layer":1},{"info":"≮⫘↔1101010010011⫲≸⪮≮⫘↔11000100010=≮⫘↔1101010010011","layer":3},{"info":"≮⫘↔10000111011⇽⩪=≮⫘↔101010000000","layer":3},{"info":"≮⫘↔1101010010011⪭≮⫘↔101010000000=≮⫘↔101","layer":2},{"info":"≮⫘↔1000001010100≀⫉≮⫘↔101101111100=≮⫘↔101100000110","layer":3},{"info":"⩷≮⫘↔101100000110=≮⫘↔-1000010010010111","layer":2},{"info":"≮⫘↔101∖≮⫘↔-1000010010010111=≮⫘↔0","layer":1},{"info":"NaN∙∹∝≮⫘↔0=NaN","layer":0}]}
{"id":172,"expression_no_base_symbol":"(⊙↵-(($3835$⇌⫙⪟$1603$)⨘⋶⪀))∳⫺((⊽$1285$)⪥($1006$∕⩚$2652$)⫉⨲⊜(($2037$≳⇉$2177$)⩍⋽⫝̸($6283$∲⫓$1834$)))","expression":"(⊙↵-((≮⫘↔111011111011⇌⫙⪟≮⫘↔11001000011)⨘⋶⪀))∳⫺((⊽≮⫘↔10100000101)⪥(≮⫘↔1111101110∕⩚≮⫘↔101001011100)⫉⨲⊜((≮⫘↔11111110101≳⇉≮⫘↔100010000001)⩍⋽⫝̸(≮⫘↔1100010001011∲⫓≮⫘↔11100101010)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":85649203,"operation_count":11,"complexity_ratio":7786291.181818182,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3835,"base":2},"right_expr":{"type":"numeric_atoms","value":1603,"base":2}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1285,"base":2}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1006,"base":2},"right_expr":{"type":"numeric_atoms","value":2652,"base":2}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2037,"base":2},"right_expr":{"type":"numeric_atoms","value":2177,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6283,"base":2},"right_expr":{"type":"numeric_atoms","value":1834,"base":2}}}}},"used_operators":["AzXXKTstlj","oWn0xqSxBt","XVKwrhznBb","AFVx7xoS7T","WhqkvtTD3t","QbnwKVWMIQ","QxG7OkqoLX","z9ffQ9n5Zr","BiWNJpBvwn","V0kx6qeWkN","i8ToyICDmI"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eewbuw0ToL","zVYPLywUTj","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ph9nP6C5qx","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3835","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=3835, right_input=1603, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=1285","layer":4},{"info":"compute unary expreesion, input=1285, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4092","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=2652, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1009","layer":3},{"info":"compute binary expreesion, left_input=4092, right_input=-1009, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"number node, value=2037","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=2177, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=6283","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=6283, right_input=1834, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-209, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-((≮⫘↔111011111011⇌⫙⪟≮⫘↔11001000011)⨘⋶⪀))∳⫺((⊽≮⫘↔10100000101)⪥(≮⫘↔1111101110∕⩚≮⫘↔101001011100)⫉⨲⊜((≮⫘↔11111110101≳⇉≮⫘↔100010000001)⩍⋽⫝̸(≮⫘↔1100010001011∲⫓≮⫘↔11100101010)))=≮⫘↔-100000100","reverse_text":"≮⫘↔-100000100=(⊙↵-((≮⫘↔111011111011⇌⫙⪟≮⫘↔11001000011)⨘⋶⪀))∳⫺((⊽≮⫘↔10100000101)⪥(≮⫘↔1111101110∕⩚≮⫘↔101001011100)⫉⨲⊜((≮⫘↔11111110101≳⇉≮⫘↔100010000001)⩍⋽⫝̸(≮⫘↔1100010001011∲⫓≮⫘↔11100101010)))","cot":[{"info":"≮⫘↔111011111011⇌⫙⪟≮⫘↔11001000011=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1110001⨘⋶⪀=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⊽≮⫘↔10100000101=≮⫘↔111111111100","layer":3},{"info":"≮⫘↔1111101110∕⩚≮⫘↔101001011100=≮⫘↔-1111110001","layer":3},{"info":"≮⫘↔111111111100⪥≮⫘↔-1111110001=≮⫘↔-1110100","layer":2},{"info":"≮⫘↔11111110101≳⇉≮⫘↔100010000001=NaN","layer":3},{"info":"≮⫘↔1100010001011∲⫓≮⫘↔11100101010=≮⫘↔0","layer":3},{"info":"NaN⩍⋽⫝̸≮⫘↔0=≮⫘↔-11010001","layer":2},{"info":"≮⫘↔-1110100⫉⨲⊜≮⫘↔-11010001=≮⫘↔-100111111","layer":1},{"info":"NaN∳⫺≮⫘↔-100111111=≮⫘↔-100000100","layer":0}]}
{"id":173,"expression_no_base_symbol":"($6774$⪔⊥$1023$⪭($2532$⫌⩉⩟$3519$))∘(($2879$⫌⩉⩟$4781$)⊧↖)⨝⩣∺","expression":"(≮⫘↔1101001110110⪔⊥≮⫘↔1111111111⪭(≮⫘↔100111100100⫌⩉⩟≮⫘↔110110111111))∘((≮⫘↔101100111111⫌⩉⩟≮⫘↔1001010101101)⊧↖)⨝⩣∺","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42711,"operation_count":7,"complexity_ratio":6101.571428571428,"tree":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6774,"base":2},"right_expr":{"type":"numeric_atoms","value":1023,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2532,"base":2},"right_expr":{"type":"numeric_atoms","value":3519,"base":2}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2879,"base":2},"right_expr":{"type":"numeric_atoms","value":4781,"base":2}}}}},"used_operators":["ancx8kZcWl","Z5m6OM72h2","j9kHMeSvPp","HJ9erzHUuu","XIIwhv8d0m","EKiFHuOFxO"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"≮⫘↔-10100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6774","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=6774, right_input=1023, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=24851","layer":3},{"info":"number node, value=2532","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=3519, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=24851, right_input=-50, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=2879","layer":4},{"info":"number node, value=4781","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=4781, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=11828","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=11828, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=10","layer":1},{"info":"compute unary expreesion, input=10, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-20","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101001110110⪔⊥≮⫘↔1111111111⪭(≮⫘↔100111100100⫌⩉⩟≮⫘↔110110111111))∘((≮⫘↔101100111111⫌⩉⩟≮⫘↔1001010101101)⊧↖)⨝⩣∺=≮⫘↔-10100","reverse_text":"≮⫘↔-10100=(≮⫘↔1101001110110⪔⊥≮⫘↔1111111111⪭(≮⫘↔100111100100⫌⩉⩟≮⫘↔110110111111))∘((≮⫘↔101100111111⫌⩉⩟≮⫘↔1001010101101)⊧↖)⨝⩣∺","cot":[{"info":"≮⫘↔1101001110110⪔⊥≮⫘↔1111111111=≮⫘↔110000100010011","layer":3},{"info":"≮⫘↔100111100100⫌⩉⩟≮⫘↔110110111111=≮⫘↔-110010","layer":3},{"info":"≮⫘↔110000100010011⪭≮⫘↔-110010=≮⫘↔101","layer":2},{"info":"≮⫘↔101100111111⫌⩉⩟≮⫘↔1001010101101=≮⫘↔-110010","layer":3},{"info":"≮⫘↔-110010⊧↖=≮⫘↔10111000110100","layer":2},{"info":"≮⫘↔101∘≮⫘↔10111000110100=≮⫘↔1010","layer":1},{"info":"≮⫘↔1010⨝⩣∺=≮⫘↔-10100","layer":0}]}
{"id":174,"expression_no_base_symbol":"(⫡⇟⇯$1959$)⨚$5507$⨸$2178$⇌⫙⪟($3365$∇⊂⋱$1884$≀⩗∶$5387$⨳⩥⨓$4503$)∑⇟⊟(((∨∊⋏$3492$)∠↢$2161$⫲≸⪮$1942$)⪊≅)","expression":"(⫡⇟⇯≮⫘↔11110100111)⨚≮⫘↔1010110000011⨸≮⫘↔100010000010⇌⫙⪟(≮⫘↔110100100101∇⊂⋱≮⫘↔11101011100≀⩗∶≮⫘↔1010100001011⨳⩥⨓≮⫘↔1000110010111)∑⇟⊟(((∨∊⋏≮⫘↔110110100100)∠↢≮⫘↔100001110001⫲≸⪮≮⫘↔11110010110)⪊≅)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7937,"operation_count":12,"complexity_ratio":661.4166666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1959,"base":2}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5507,"base":2},"right_expr":{"type":"numeric_atoms","value":2178,"base":2}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3365,"base":2},"right_expr":{"type":"numeric_atoms","value":1884,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5387,"base":2},"right_expr":{"type":"numeric_atoms","value":4503,"base":2}}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3492,"base":2}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2161,"base":2},"right_expr":{"type":"numeric_atoms","value":1942,"base":2}}}}},"used_operators":["U7g4x0WXJJ","AFVx7xoS7T","nREPSIbpBE","qWUSsah53b","KmoU8R5UQR","8INZBEW696","nhYeJWJD5X","nCS4ZIUYfx","bjFbhXSADs","KbjG8mgYpV","R5aXW34M0v","P3lXMJvFrc"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","BjRHVeLaeN","12rbrZMWeM","DZ8iAZOCBD","P8v4zCKN1o","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≮⫘↔1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":4},{"info":"compute unary expreesion, input=1959, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4786","layer":3},{"info":"number node, value=5507","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=5507, right_input=2178, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=11014","layer":3},{"info":"compute binary expreesion, left_input=4786, right_input=11014, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-33550","layer":2},{"info":"number node, value=3365","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=3365, right_input=1884, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6184","layer":3},{"info":"number node, value=5387","layer":4},{"info":"number node, value=4503","layer":4},{"info":"compute binary expreesion, left_input=5387, right_input=4503, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-884","layer":3},{"info":"compute binary expreesion, left_input=6184, right_input=-884, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=-33550, right_input=3, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"number node, value=3492","layer":4},{"info":"compute unary expreesion, input=3492, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=70607","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=1942, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2161","layer":3},{"info":"compute binary expreesion, left_input=70607, right_input=2161, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-311600","layer":2},{"info":"compute unary expreesion, input=-311600, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=113","layer":0}],"base":2,"result_base":2,"text":"(⫡⇟⇯≮⫘↔11110100111)⨚≮⫘↔1010110000011⨸≮⫘↔100010000010⇌⫙⪟(≮⫘↔110100100101∇⊂⋱≮⫘↔11101011100≀⩗∶≮⫘↔1010100001011⨳⩥⨓≮⫘↔1000110010111)∑⇟⊟(((∨∊⋏≮⫘↔110110100100)∠↢≮⫘↔100001110001⫲≸⪮≮⫘↔11110010110)⪊≅)=≮⫘↔1110001","reverse_text":"≮⫘↔1110001=(⫡⇟⇯≮⫘↔11110100111)⨚≮⫘↔1010110000011⨸≮⫘↔100010000010⇌⫙⪟(≮⫘↔110100100101∇⊂⋱≮⫘↔11101011100≀⩗∶≮⫘↔1010100001011⨳⩥⨓≮⫘↔1000110010111)∑⇟⊟(((∨∊⋏≮⫘↔110110100100)∠↢≮⫘↔100001110001⫲≸⪮≮⫘↔11110010110)⪊≅)","cot":[{"info":"⫡⇟⇯≮⫘↔11110100111=≮⫘↔1001010110010","layer":3},{"info":"≮⫘↔1010110000011⨸≮⫘↔100010000010=≮⫘↔10101100000110","layer":3},{"info":"≮⫘↔1001010110010⨚≮⫘↔10101100000110=≮⫘↔-1000001100001110","layer":2},{"info":"≮⫘↔110100100101∇⊂⋱≮⫘↔11101011100=≮⫘↔1100000101000","layer":3},{"info":"≮⫘↔1010100001011⨳⩥⨓≮⫘↔1000110010111=≮⫘↔-1101110100","layer":3},{"info":"≮⫘↔1100000101000≀⩗∶≮⫘↔-1101110100=≮⫘↔11","layer":2},{"info":"≮⫘↔-1000001100001110⇌⫙⪟≮⫘↔11=≮⫘↔1110001","layer":1},{"info":"∨∊⋏≮⫘↔110110100100=≮⫘↔10001001111001111","layer":3},{"info":"≮⫘↔100001110001⫲≸⪮≮⫘↔11110010110=≮⫘↔100001110001","layer":3},{"info":"≮⫘↔10001001111001111∠↢≮⫘↔100001110001=≮⫘↔-1001100000100110000","layer":2},{"info":"≮⫘↔-1001100000100110000⪊≅=≮⫘↔0","layer":1},{"info":"≮⫘↔1110001∑⇟⊟≮⫘↔0=≮⫘↔1110001","layer":0}]}
{"id":175,"expression_no_base_symbol":"(⨰⫟⨤($7751$↸$4770$⨸⪁(⩰$1579$)))⊍⩺⋍$3474$⋾⨃∁$1503$≒∊($5490$⪠⩆⊳)⩷∴($3127$⇻⋧≁$1936$∟)","expression":"(⨰⫟⨤(≮⫘↔1111001000111↸≮⫘↔1001010100010⨸⪁(⩰≮⫘↔11000101011)))⊍⩺⋍≮⫘↔110110010010⋾⨃∁≮⫘↔10111011111≒∊(≮⫘↔1010101110010⪠⩆⊳)⩷∴(≮⫘↔110000110111⇻⋧≁≮⫘↔11110010000∟)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":51627,"operation_count":11,"complexity_ratio":4693.363636363636,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":7751,"base":2},"right_expr":{"type":"numeric_atoms","value":4770,"base":2}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1579,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3474,"base":2},"right_expr":{"type":"numeric_atoms","value":1503,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5490,"base":2}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3127,"base":2},"right_expr":{"type":"numeric_atoms","value":1936,"base":2}}}}},"used_operators":["OXDGMFPWZM","Tw270M8GLb","g55IO6H4Gj","1eCjFl0mb9","WkeUrDK8WX","9FxExcQeMw","5KTvxBwnZo","212REbPD9h","JLbD19bQDL","hTbEZDJLEm","jCPkEVoL5K"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7751","layer":4},{"info":"number node, value=4770","layer":4},{"info":"compute binary expreesion, left_input=7751, right_input=4770, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=7751","layer":3},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2579","layer":3},{"info":"compute binary expreesion, left_input=7751, right_input=-2579, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10344","layer":2},{"info":"compute unary expreesion, input=10344, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3474","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=3474, right_input=1503, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=22571960","layer":3},{"info":"number node, value=5490","layer":4},{"info":"compute unary expreesion, input=5490, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=22571960, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-22571476","layer":2},{"info":"number node, value=3127","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=1936, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-22571476, right_input=113, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-45143210","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-45143210, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨰⫟⨤(≮⫘↔1111001000111↸≮⫘↔1001010100010⨸⪁(⩰≮⫘↔11000101011)))⊍⩺⋍≮⫘↔110110010010⋾⨃∁≮⫘↔10111011111≒∊(≮⫘↔1010101110010⪠⩆⊳)⩷∴(≮⫘↔110000110111⇻⋧≁≮⫘↔11110010000∟)=NaN","reverse_text":"NaN=(⨰⫟⨤(≮⫘↔1111001000111↸≮⫘↔1001010100010⨸⪁(⩰≮⫘↔11000101011)))⊍⩺⋍≮⫘↔110110010010⋾⨃∁≮⫘↔10111011111≒∊(≮⫘↔1010101110010⪠⩆⊳)⩷∴(≮⫘↔110000110111⇻⋧≁≮⫘↔11110010000∟)","cot":[{"info":"≮⫘↔1111001000111↸≮⫘↔1001010100010=≮⫘↔1111001000111","layer":3},{"info":"⩰≮⫘↔11000101011=≮⫘↔-101000010011","layer":3},{"info":"≮⫘↔1111001000111⨸⪁≮⫘↔-101000010011=≮⫘↔10100001101000","layer":2},{"info":"⨰⫟⨤≮⫘↔10100001101000=NaN","layer":1},{"info":"≮⫘↔110110010010⋾⨃∁≮⫘↔10111011111=≮⫘↔1010110000110101110111000","layer":3},{"info":"≮⫘↔1010101110010⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔1010110000110101110111000≒∊≮⫘↔0=≮⫘↔-1010110000110100111010100","layer":2},{"info":"≮⫘↔110000110111⇻⋧≁≮⫘↔11110010000=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-110111111∟=≮⫘↔1110001","layer":2},{"info":"≮⫘↔-1010110000110100111010100⩷∴≮⫘↔1110001=≮⫘↔-10101100001101010010101010","layer":1},{"info":"NaN⊍⩺⋍≮⫘↔-10101100001101010010101010=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"(⪛⨧$3022$∊∟⩊$2835$)⋥≓≎$1036$⫯⪬∳$2219$+⇶⊼$1999$⋝⋈⪟$4243$⇮⋭($3062$⇴∐$4525$⫸⊐($2037$⇔⨋))↳∿⪆(⫇($7754$≭$1735$))","expression":"(⪛⨧≮⫘↔101111001110∊∟⩊≮⫘↔101100010011)⋥≓≎≮⫘↔10000001100⫯⪬∳≮⫘↔100010101011+⇶⊼≮⫘↔11111001111⋝⋈⪟≮⫘↔1000010010011⇮⋭(≮⫘↔101111110110⇴∐≮⫘↔1000110101101⫸⊐(≮⫘↔11111110101⇔⨋))↳∿⪆(⫇(≮⫘↔1111001001010≭≮⫘↔11011000111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2483,"operation_count":13,"complexity_ratio":191.0,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3022,"base":2},"right_expr":{"type":"numeric_atoms","value":2835,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1036,"base":2},"right_expr":{"type":"numeric_atoms","value":2219,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1999,"base":2},"right_expr":{"type":"numeric_atoms","value":4243,"base":2}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3062,"base":2},"right_expr":{"type":"numeric_atoms","value":4525,"base":2}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":2037,"base":2}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7754,"base":2},"right_expr":{"type":"numeric_atoms","value":1735,"base":2}}}}},"used_operators":["vkpjKywKVM","Qy55tPpLXF","6NJAcO2OWT","ddLRYrp01A","TpPTUOHfaN","d7ASUq0ydm","2DDjHMKMc0","Cw4SuJJGHO","mqXw5SEYmG","HnzytWxmAO","uBihLCJcMX","YjI8oCXuph","rxpJgHHUmx"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","AHs5Up7iyr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","AHs5Up7iyr"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3022","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=2835, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2835","layer":3},{"info":"compute unary expreesion, input=2835, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7071","layer":2},{"info":"number node, value=1036","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=2219, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2994","layer":3},{"info":"number node, value=1999","layer":4},{"info":"number node, value=4243","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=4243, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1999","layer":3},{"info":"compute binary expreesion, left_input=2994, right_input=1999, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7071, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=3062","layer":4},{"info":"number node, value=4525","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=4525, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=2037","layer":4},{"info":"compute unary expreesion, input=2037, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=11152","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11152, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=7754","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=7754, right_input=1735, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":2,"result_base":2,"text":"(⪛⨧≮⫘↔101111001110∊∟⩊≮⫘↔101100010011)⋥≓≎≮⫘↔10000001100⫯⪬∳≮⫘↔100010101011+⇶⊼≮⫘↔11111001111⋝⋈⪟≮⫘↔1000010010011⇮⋭(≮⫘↔101111110110⇴∐≮⫘↔1000110101101⫸⊐(≮⫘↔11111110101⇔⨋))↳∿⪆(⫇(≮⫘↔1111001001010≭≮⫘↔11011000111))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(⪛⨧≮⫘↔101111001110∊∟⩊≮⫘↔101100010011)⋥≓≎≮⫘↔10000001100⫯⪬∳≮⫘↔100010101011+⇶⊼≮⫘↔11111001111⋝⋈⪟≮⫘↔1000010010011⇮⋭(≮⫘↔101111110110⇴∐≮⫘↔1000110101101⫸⊐(≮⫘↔11111110101⇔⨋))↳∿⪆(⫇(≮⫘↔1111001001010≭≮⫘↔11011000111))","cot":[{"info":"≮⫘↔101111001110∊∟⩊≮⫘↔101100010011=≮⫘↔101100010011","layer":3},{"info":"⪛⨧≮⫘↔101100010011=≮⫘↔1101110011111","layer":2},{"info":"≮⫘↔10000001100⫯⪬∳≮⫘↔100010101011=≮⫘↔101110110010","layer":3},{"info":"≮⫘↔11111001111⋝⋈⪟≮⫘↔1000010010011=≮⫘↔11111001111","layer":3},{"info":"≮⫘↔101110110010+⇶⊼≮⫘↔11111001111=NaN","layer":2},{"info":"≮⫘↔1101110011111⋥≓≎NaN=NaN","layer":1},{"info":"≮⫘↔101111110110⇴∐≮⫘↔1000110101101=NaN","layer":3},{"info":"≮⫘↔11111110101⇔⨋=≮⫘↔10101110010000","layer":3},{"info":"NaN⫸⊐≮⫘↔10101110010000=NaN","layer":2},{"info":"≮⫘↔1111001001010≭≮⫘↔11011000111=NaN","layer":3},{"info":"⫇NaN=NaN","layer":2},{"info":"NaN↳∿⪆NaN=NaN","layer":1},{"info":"NaN⇮⋭NaN=≮⫘↔1000011","layer":0}]}
{"id":177,"expression_no_base_symbol":"($2511$⨜⨶$2688$⪭≯(≔$2358$))⩁⩘($2225$⊕∕$1693$⨟⋌⩍(⋠∜$3505$))↰","expression":"(≮⫘↔100111001111⨜⨶≮⫘↔101010000000⪭≯(≔≮⫘↔100100110110))⩁⩘(≮⫘↔100010110001⊕∕≮⫘↔11010011101⨟⋌⩍(⋠∜≮⫘↔110110110001))↰","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6443,"operation_count":8,"complexity_ratio":805.375,"tree":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2511,"base":2},"right_expr":{"type":"numeric_atoms","value":2688,"base":2}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2358,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2225,"base":2},"right_expr":{"type":"numeric_atoms","value":1693,"base":2}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":3505,"base":2}}}}},"used_operators":["bl5wxAcryP","gub5Cegaqo","XAx5wpdLa6","HiPekx5b7W","8FLs4eVsLt","rGHVDoGpnC","9cloC0Ngie","ZJpFhNJr3x"],"dependent_operators":["nCS4ZIUYfx","Z2TMIBDE3Q","DpFCA1CohY","IWmyXbctLI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","Tcnh7f0tEr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2511","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=2688, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5120","layer":3},{"info":"number node, value=2358","layer":4},{"info":"compute unary expreesion, input=2358, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-64730","layer":3},{"info":"compute binary expreesion, left_input=-5120, right_input=-64730, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2225","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=1693, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2225","layer":3},{"info":"number node, value=3505","layer":4},{"info":"compute unary expreesion, input=3505, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=16304","layer":3},{"info":"compute binary expreesion, left_input=2225, right_input=16304, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100111001111⨜⨶≮⫘↔101010000000⪭≯(≔≮⫘↔100100110110))⩁⩘(≮⫘↔100010110001⊕∕≮⫘↔11010011101⨟⋌⩍(⋠∜≮⫘↔110110110001))↰=NaN","reverse_text":"NaN=(≮⫘↔100111001111⨜⨶≮⫘↔101010000000⪭≯(≔≮⫘↔100100110110))⩁⩘(≮⫘↔100010110001⊕∕≮⫘↔11010011101⨟⋌⩍(⋠∜≮⫘↔110110110001))↰","cot":[{"info":"≮⫘↔100111001111⨜⨶≮⫘↔101010000000=≮⫘↔-1010000000000","layer":3},{"info":"≔≮⫘↔100100110110=≮⫘↔-1111110011011010","layer":3},{"info":"≮⫘↔-1010000000000⪭≯≮⫘↔-1111110011011010=NaN","layer":2},{"info":"≮⫘↔100010110001⊕∕≮⫘↔11010011101=≮⫘↔100010110001","layer":3},{"info":"⋠∜≮⫘↔110110110001=≮⫘↔11111110110000","layer":3},{"info":"≮⫘↔100010110001⨟⋌⩍≮⫘↔11111110110000=NaN","layer":2},{"info":"NaN⩁⩘NaN=NaN","layer":1},{"info":"NaN↰=NaN","layer":0}]}
{"id":178,"expression_no_base_symbol":"⇋↷(⊖∈(→⩰$2818$⩚⊴⇥$1028$))","expression":"⇋↷(⊖∈(→⩰≮⫘↔101100000010⩚⊴⇥≮⫘↔10000000100))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4193,"operation_count":4,"complexity_ratio":1048.25,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2818,"base":2},"right_expr":{"type":"numeric_atoms","value":1028,"base":2}}}}},"used_operators":["SWo3A1KBJH","YFxL8Sc2Zy","o8Pngz0Tml","NTOWxs364D"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2818","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=1028, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3967","layer":3},{"info":"compute unary expreesion, input=-3967, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇋↷(⊖∈(→⩰≮⫘↔101100000010⩚⊴⇥≮⫘↔10000000100))=NaN","reverse_text":"NaN=⇋↷(⊖∈(→⩰≮⫘↔101100000010⩚⊴⇥≮⫘↔10000000100))","cot":[{"info":"≮⫘↔101100000010⩚⊴⇥≮⫘↔10000000100=≮⫘↔-111101111111","layer":3},{"info":"→⩰≮⫘↔-111101111111=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"⇋↷NaN=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"(($8718$∖$2344$)⨑≵⋬$1181$⊔$1602$⊉≛↸(($5025$≒∊$1254$)⨝⩣∺))∠⫱(($1205$≄⊠$1620$∠⫱$3113$∋$1299$)⨀⨒)","expression":"((≮⫘↔10001000001110∖≮⫘↔100100101000)⨑≵⋬≮⫘↔10010011101⊔≮⫘↔11001000010⊉≛↸((≮⫘↔1001110100001≒∊≮⫘↔10011100110)⨝⩣∺))∠⫱((≮⫘↔10010110101≄⊠≮⫘↔11001010100∠⫱≮⫘↔110000101001∋≮⫘↔10100010011)⨀⨒)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":653,"operation_count":11,"complexity_ratio":59.36363636363637,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":8718,"base":2},"right_expr":{"type":"numeric_atoms","value":2344,"base":2}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1181,"base":2},"right_expr":{"type":"numeric_atoms","value":1602,"base":2}}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5025,"base":2},"right_expr":{"type":"numeric_atoms","value":1254,"base":2}}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1205,"base":2},"right_expr":{"type":"numeric_atoms","value":1620,"base":2}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3113,"base":2},"right_expr":{"type":"numeric_atoms","value":1299,"base":2}}}}},"used_operators":["QvoQhV0rrE","DZ8iAZOCBD","XnXgA4xnOs","tXD093vOjl","E4l6HwMY31","ancx8kZcWl","5KTvxBwnZo","j6NVkjMzuk","vXNesLlMH1","ukq6epAj5P"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8718","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=8718, right_input=2344, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=1602, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=7972","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7972, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-54425","layer":2},{"info":"number node, value=5025","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=5025, right_input=1254, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4541","layer":3},{"info":"compute unary expreesion, input=-4541, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-4541","layer":2},{"info":"compute binary expreesion, left_input=-54425, right_input=-4541, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4541","layer":1},{"info":"number node, value=1205","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1620, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=30588","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=1299, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2799732","layer":3},{"info":"compute binary expreesion, left_input=30588, right_input=2799732, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=14008","layer":1},{"info":"compute binary expreesion, left_input=4541, right_input=14008, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001000001110∖≮⫘↔100100101000)⨑≵⋬≮⫘↔10010011101⊔≮⫘↔11001000010⊉≛↸((≮⫘↔1001110100001≒∊≮⫘↔10011100110)⨝⩣∺))∠⫱((≮⫘↔10010110101≄⊠≮⫘↔11001010100∠⫱≮⫘↔110000101001∋≮⫘↔10100010011)⨀⨒)=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((≮⫘↔10001000001110∖≮⫘↔100100101000)⨑≵⋬≮⫘↔10010011101⊔≮⫘↔11001000010⊉≛↸((≮⫘↔1001110100001≒∊≮⫘↔10011100110)⨝⩣∺))∠⫱((≮⫘↔10010110101≄⊠≮⫘↔11001010100∠⫱≮⫘↔110000101001∋≮⫘↔10100010011)⨀⨒)","cot":[{"info":"≮⫘↔10001000001110∖≮⫘↔100100101000=≮⫘↔0","layer":3},{"info":"≮⫘↔10010011101⊔≮⫘↔11001000010=≮⫘↔1111100100100","layer":3},{"info":"≮⫘↔0⨑≵⋬≮⫘↔1111100100100=≮⫘↔-1101010010011001","layer":2},{"info":"≮⫘↔1001110100001≒∊≮⫘↔10011100110=≮⫘↔-1000110111101","layer":3},{"info":"≮⫘↔-1000110111101⨝⩣∺=≮⫘↔-1000110111101","layer":2},{"info":"≮⫘↔-1101010010011001⊉≛↸≮⫘↔-1000110111101=≮⫘↔1000110111101","layer":1},{"info":"≮⫘↔10010110101≄⊠≮⫘↔11001010100=≮⫘↔111011101111100","layer":3},{"info":"≮⫘↔110000101001∋≮⫘↔10100010011=≮⫘↔1010101011100001110100","layer":3},{"info":"≮⫘↔111011101111100∠⫱≮⫘↔1010101011100001110100=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔10011010010⨀⨒=≮⫘↔11011010111000","layer":1},{"info":"≮⫘↔1000110111101∠⫱≮⫘↔11011010111000=≮⫘↔10011010010","layer":0}]}
{"id":180,"expression_no_base_symbol":"(⊢≑≆(⇋↷$1861$∛$1872$))↢(⨭⩧⫛(⊥($2315$⪠⩆⊳)))","expression":"(⊢≑≆(⇋↷≮⫘↔11101000101∛≮⫘↔11101010000))↢(⨭⩧⫛(⊥(≮⫘↔100100001011⪠⩆⊳)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":139,"operation_count":7,"complexity_ratio":19.857142857142858,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1861,"base":2},"right_expr":{"type":"numeric_atoms","value":1872,"base":2}}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2315,"base":2}}}}},"used_operators":["WR6HLWljOP","27wFxooxGf","SWo3A1KBJH","w2537kitQq","g21JL6JxX7","Q3PJZHRvZv","JLbD19bQDL"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔111011001101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1861","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1872, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-2040","layer":2},{"info":"compute unary expreesion, input=-2040, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4273","layer":1},{"info":"number node, value=2315","layer":4},{"info":"compute unary expreesion, input=2315, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4273, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3789","layer":0}],"base":2,"result_base":2,"text":"(⊢≑≆(⇋↷≮⫘↔11101000101∛≮⫘↔11101010000))↢(⨭⩧⫛(⊥(≮⫘↔100100001011⪠⩆⊳)))=≮⫘↔111011001101","reverse_text":"≮⫘↔111011001101=(⊢≑≆(⇋↷≮⫘↔11101000101∛≮⫘↔11101010000))↢(⨭⩧⫛(⊥(≮⫘↔100100001011⪠⩆⊳)))","cot":[{"info":"≮⫘↔11101000101∛≮⫘↔11101010000=≮⫘↔-1010011110","layer":3},{"info":"⇋↷≮⫘↔-1010011110=≮⫘↔-11111111000","layer":2},{"info":"⊢≑≆≮⫘↔-11111111000=≮⫘↔1000010110001","layer":1},{"info":"≮⫘↔100100001011⪠⩆⊳=≮⫘↔0","layer":3},{"info":"⊥≮⫘↔0=≮⫘↔0","layer":2},{"info":"⨭⩧⫛≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1000010110001↢NaN=≮⫘↔111011001101","layer":0}]}
{"id":181,"expression_no_base_symbol":"(($2051$+⇶⊼$2034$)⨿($4052$⫻⋑⊟)≭(($1016$⪉⨛$1487$)⨎$2594$∋$1032$))≚⊃≕(((⩦⊞$4550$)≬⇓($7068$⫌⩉⩟$4637$))∠↢(⋗⩬⋾($7323$⩵∡$2054$)))","expression":"((≮⫘↔100000000011+⇶⊼≮⫘↔11111110010)⨿(≮⫘↔111111010100⫻⋑⊟)≭((≮⫘↔1111111000⪉⨛≮⫘↔10111001111)⨎≮⫘↔101000100010∋≮⫘↔10000001000))≚⊃≕(((⩦⊞≮⫘↔1000111000110)≬⇓(≮⫘↔1101110011100⫌⩉⩟≮⫘↔1001000011101))∠↢(⋗⩬⋾(≮⫘↔1110010011011⩵∡≮⫘↔100000000110)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":38015,"operation_count":14,"complexity_ratio":2715.3571428571427,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2051,"base":2},"right_expr":{"type":"numeric_atoms","value":2034,"base":2}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":4052,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1016,"base":2},"right_expr":{"type":"numeric_atoms","value":1487,"base":2}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2594,"base":2},"right_expr":{"type":"numeric_atoms","value":1032,"base":2}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":4550,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":7068,"base":2},"right_expr":{"type":"numeric_atoms","value":4637,"base":2}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":7323,"base":2},"right_expr":{"type":"numeric_atoms","value":2054,"base":2}}}}},"used_operators":["Bmrmz2XGnR","rxpJgHHUmx","abYXlopdE0","TpPTUOHfaN","o575Zjdmzy","rJVOvQCfKK","EWw2JM7wp4","ukq6epAj5P","KbjG8mgYpV","jWTQ2TZYIH","u7fv1HBiaC","XIIwhv8d0m","DpFCA1CohY","Y7wcNGrDQJ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","AHs5Up7iyr","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2051","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=2034, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4052","layer":4},{"info":"compute unary expreesion, input=4052, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-7594","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7594, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1016","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1487, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1776","layer":3},{"info":"number node, value=2594","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=1032, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2219520","layer":3},{"info":"compute binary expreesion, left_input=1776, right_input=2219520, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2219520","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=2219520, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=4550","layer":4},{"info":"compute unary expreesion, input=4550, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4277","layer":3},{"info":"number node, value=7068","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=7068, right_input=4637, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-4277, right_input=-50, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=183423844","layer":2},{"info":"number node, value=7323","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=7323, right_input=2054, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-12713","layer":3},{"info":"compute unary expreesion, input=-12713, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=38139","layer":2},{"info":"compute binary expreesion, left_input=183423844, right_input=38139, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-734228240","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-734228240, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100000000011+⇶⊼≮⫘↔11111110010)⨿(≮⫘↔111111010100⫻⋑⊟)≭((≮⫘↔1111111000⪉⨛≮⫘↔10111001111)⨎≮⫘↔101000100010∋≮⫘↔10000001000))≚⊃≕(((⩦⊞≮⫘↔1000111000110)≬⇓(≮⫘↔1101110011100⫌⩉⩟≮⫘↔1001000011101))∠↢(⋗⩬⋾(≮⫘↔1110010011011⩵∡≮⫘↔100000000110)))=NaN","reverse_text":"NaN=((≮⫘↔100000000011+⇶⊼≮⫘↔11111110010)⨿(≮⫘↔111111010100⫻⋑⊟)≭((≮⫘↔1111111000⪉⨛≮⫘↔10111001111)⨎≮⫘↔101000100010∋≮⫘↔10000001000))≚⊃≕(((⩦⊞≮⫘↔1000111000110)≬⇓(≮⫘↔1101110011100⫌⩉⩟≮⫘↔1001000011101))∠↢(⋗⩬⋾(≮⫘↔1110010011011⩵∡≮⫘↔100000000110)))","cot":[{"info":"≮⫘↔100000000011+⇶⊼≮⫘↔11111110010=NaN","layer":3},{"info":"≮⫘↔111111010100⫻⋑⊟=≮⫘↔-1110110101010","layer":3},{"info":"NaN⨿≮⫘↔-1110110101010=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1111111000⪉⨛≮⫘↔10111001111=≮⫘↔11011110000","layer":3},{"info":"≮⫘↔101000100010∋≮⫘↔10000001000=≮⫘↔1000011101111000000000","layer":3},{"info":"≮⫘↔11011110000⨎≮⫘↔1000011101111000000000=≮⫘↔1000011101111000000000","layer":2},{"info":"≮⫘↔1000011≭≮⫘↔1000011101111000000000=NaN","layer":1},{"info":"⩦⊞≮⫘↔1000111000110=≮⫘↔-1000010110101","layer":3},{"info":"≮⫘↔1101110011100⫌⩉⩟≮⫘↔1001000011101=≮⫘↔-110010","layer":3},{"info":"≮⫘↔-1000010110101≬⇓≮⫘↔-110010=≮⫘↔1010111011101101001101100100","layer":2},{"info":"≮⫘↔1110010011011⩵∡≮⫘↔100000000110=≮⫘↔-11000110101001","layer":3},{"info":"⋗⩬⋾≮⫘↔-11000110101001=≮⫘↔1001010011111011","layer":2},{"info":"≮⫘↔1010111011101101001101100100∠↢≮⫘↔1001010011111011=≮⫘↔-101011110000110110111100010000","layer":1},{"info":"NaN≚⊃≕≮⫘↔-101011110000110110111100010000=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"((↞≼($4366$⋩≍≻))⇚⪠)∼((($3059$⪭≯$4705$)⨻⩈⩔($6386$⇪⋭))⊝⪿⪼($1687$∘$2229$)↳≱($3977$⪚$1266$))","expression":"((↞≼(≮⫘↔1000100001110⋩≍≻))⇚⪠)∼(((≮⫘↔101111110011⪭≯≮⫘↔1001001100001)⨻⩈⩔(≮⫘↔1100011110010⇪⋭))⊝⪿⪼(≮⫘↔11010010111∘≮⫘↔100010110101)↳≱(≮⫘↔111110001001⪚≮⫘↔10011110010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21964,"operation_count":11,"complexity_ratio":1996.7272727272727,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":4366,"base":2}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3059,"base":2},"right_expr":{"type":"numeric_atoms","value":4705,"base":2}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":6386,"base":2}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1687,"base":2},"right_expr":{"type":"numeric_atoms","value":2229,"base":2}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3977,"base":2},"right_expr":{"type":"numeric_atoms","value":1266,"base":2}}}}},"used_operators":["DyGG3AbaNP","Loh9y4A90B","DE7zCoGJt9","WYd1w68Nbz","3Oe9XWJUTD","nEsXyWgiOK","XAx5wpdLa6","Z8Yg6dlDSp","JwTKLfZU96","Z5m6OM72h2","HrjLwUk87U"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4366","layer":4},{"info":"compute unary expreesion, input=4366, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-854","layer":2},{"info":"compute unary expreesion, input=-854, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=-1053836","layer":1},{"info":"number node, value=3059","layer":4},{"info":"number node, value=4705","layer":4},{"info":"compute binary expreesion, left_input=3059, right_input=4705, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=6386","layer":4},{"info":"compute unary expreesion, input=6386, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"number node, value=1687","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=2229, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3374","layer":3},{"info":"number node, value=3977","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=3977, right_input=1266, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=5066","layer":3},{"info":"compute binary expreesion, left_input=3374, right_input=5066, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1053836, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↞≼(≮⫘↔1000100001110⋩≍≻))⇚⪠)∼(((≮⫘↔101111110011⪭≯≮⫘↔1001001100001)⨻⩈⩔(≮⫘↔1100011110010⇪⋭))⊝⪿⪼(≮⫘↔11010010111∘≮⫘↔100010110101)↳≱(≮⫘↔111110001001⪚≮⫘↔10011110010))=NaN","reverse_text":"NaN=((↞≼(≮⫘↔1000100001110⋩≍≻))⇚⪠)∼(((≮⫘↔101111110011⪭≯≮⫘↔1001001100001)⨻⩈⩔(≮⫘↔1100011110010⇪⋭))⊝⪿⪼(≮⫘↔11010010111∘≮⫘↔100010110101)↳≱(≮⫘↔111110001001⪚≮⫘↔10011110010))","cot":[{"info":"≮⫘↔1000100001110⋩≍≻=≮⫘↔-110111","layer":3},{"info":"↞≼≮⫘↔-110111=≮⫘↔-1101010110","layer":2},{"info":"≮⫘↔-1101010110⇚⪠=≮⫘↔-100000001010010001100","layer":1},{"info":"≮⫘↔101111110011⪭≯≮⫘↔1001001100001=NaN","layer":3},{"info":"≮⫘↔1100011110010⇪⋭=NaN","layer":3},{"info":"NaN⨻⩈⩔NaN=NaN","layer":2},{"info":"≮⫘↔11010010111∘≮⫘↔100010110101=≮⫘↔110100101110","layer":3},{"info":"≮⫘↔111110001001⪚≮⫘↔10011110010=≮⫘↔1001111001010","layer":3},{"info":"≮⫘↔110100101110↳≱≮⫘↔1001111001010=≮⫘↔0","layer":2},{"info":"NaN⊝⪿⪼≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔-100000001010010001100∼NaN=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"(↨⩢⫨($2347$⨟⋌⩍$3573$⊝⪿⪼($3693$⇴$2176$)))⪍↜⋙(($1084$⪢$2642$*$2391$→⨶⪴$2851$)∠↢(⩷⨜⫀($6926$⊵↤)))","expression":"(↨⩢⫨(≮⫘↔100100101011⨟⋌⩍≮⫘↔110111110101⊝⪿⪼(≮⫘↔111001101101⇴≮⫘↔100010000000)))⪍↜⋙((≮⫘↔10000111100⪢≮⫘↔101001010010*≮⫘↔100101010111→⨶⪴≮⫘↔101100100011)∠↢(⩷⨜⫀(≮⫘↔1101100001110⊵↤)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2816,"operation_count":11,"complexity_ratio":256.0,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2347,"base":2},"right_expr":{"type":"numeric_atoms","value":3573,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3693,"base":2},"right_expr":{"type":"numeric_atoms","value":2176,"base":2}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1084,"base":2},"right_expr":{"type":"numeric_atoms","value":2642,"base":2}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2391,"base":2},"right_expr":{"type":"numeric_atoms","value":2851,"base":2}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":6926,"base":2}}}}},"used_operators":["L05ObWFQCd","Z5CJsN7DuW","3Oe9XWJUTD","rGHVDoGpnC","4JB6nKBMSY","KbjG8mgYpV","9HNa5Wba9A","dWAJyo7jo9","bF6eod5Gvf","CDi0ktkjQ4","7IPrd9c3lf"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","k8jYdgA6NY","8w2t5hMYqp","9FxExcQeMw","ruOEQAzv1W","nhYeJWJD5X","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2347","layer":4},{"info":"number node, value=3573","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=3573, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3693","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=2176, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=26124","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=26124, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1084","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=2642, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2391","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=2851, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8553","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8553, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6926","layer":4},{"info":"compute unary expreesion, input=6926, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=206","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=206, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↨⩢⫨(≮⫘↔100100101011⨟⋌⩍≮⫘↔110111110101⊝⪿⪼(≮⫘↔111001101101⇴≮⫘↔100010000000)))⪍↜⋙((≮⫘↔10000111100⪢≮⫘↔101001010010*≮⫘↔100101010111→⨶⪴≮⫘↔101100100011)∠↢(⩷⨜⫀(≮⫘↔1101100001110⊵↤)))=NaN","reverse_text":"NaN=(↨⩢⫨(≮⫘↔100100101011⨟⋌⩍≮⫘↔110111110101⊝⪿⪼(≮⫘↔111001101101⇴≮⫘↔100010000000)))⪍↜⋙((≮⫘↔10000111100⪢≮⫘↔101001010010*≮⫘↔100101010111→⨶⪴≮⫘↔101100100011)∠↢(⩷⨜⫀(≮⫘↔1101100001110⊵↤)))","cot":[{"info":"≮⫘↔100100101011⨟⋌⩍≮⫘↔110111110101=NaN","layer":3},{"info":"≮⫘↔111001101101⇴≮⫘↔100010000000=≮⫘↔110011000001100","layer":3},{"info":"NaN⊝⪿⪼≮⫘↔110011000001100=NaN","layer":2},{"info":"↨⩢⫨NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔10000111100⪢≮⫘↔101001010010=NaN","layer":3},{"info":"≮⫘↔100101010111→⨶⪴≮⫘↔101100100011=≮⫘↔-10000101101001","layer":3},{"info":"NaN*≮⫘↔-10000101101001=NaN","layer":2},{"info":"≮⫘↔1101100001110⊵↤=≮⫘↔1000011","layer":3},{"info":"⩷⨜⫀≮⫘↔1000011=≮⫘↔11001110","layer":2},{"info":"NaN∠↢≮⫘↔11001110=NaN","layer":1},{"info":"≮⫘↔0⪍↜⋙NaN=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"(($3301$↱$2839$)⫉⨲⊜($1031$∇⊂⋱$4647$)∠⫱($1696$⪒⊣⊆$1616$)⇂≾⫗($1476$∖$2857$))⇟⨁⪰","expression":"((≮⫘↔110011100101↱≮⫘↔101100010111)⫉⨲⊜(≮⫘↔10000000111∇⊂⋱≮⫘↔1001000100111)∠⫱(≮⫘↔11010100000⪒⊣⊆≮⫘↔11001010000)⇂≾⫗(≮⫘↔10111000100∖≮⫘↔101100101001))⇟⨁⪰","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24540,"operation_count":8,"complexity_ratio":3067.5,"tree":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3301,"base":2},"right_expr":{"type":"numeric_atoms","value":2839,"base":2}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1031,"base":2},"right_expr":{"type":"numeric_atoms","value":4647,"base":2}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1696,"base":2},"right_expr":{"type":"numeric_atoms","value":1616,"base":2}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1476,"base":2},"right_expr":{"type":"numeric_atoms","value":2857,"base":2}}}}},"used_operators":["BX1lVwlMe0","QvoQhV0rrE","WhqkvtTD3t","SR5kFfdi6N","nhYeJWJD5X","aBQ6xLxuTc","eRqsBgTDFp","tXD093vOjl"],"dependent_operators":["2DDjHMKMc0","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eewbuw0ToL","zVYPLywUTj","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"≮⫘↔-100110001001111001011110101000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3301","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=3301, right_input=2839, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-7995","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=4647","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=4647, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1516","layer":3},{"info":"compute binary expreesion, left_input=-7995, right_input=1516, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=640128092","layer":2},{"info":"number node, value=1696","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=1616, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3392","layer":3},{"info":"number node, value=1476","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=2857, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3392, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=640128092, right_input=-670, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=640128762","layer":1},{"info":"compute unary expreesion, input=640128762, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-640128936","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110011100101↱≮⫘↔101100010111)⫉⨲⊜(≮⫘↔10000000111∇⊂⋱≮⫘↔1001000100111)∠⫱(≮⫘↔11010100000⪒⊣⊆≮⫘↔11001010000)⇂≾⫗(≮⫘↔10111000100∖≮⫘↔101100101001))⇟⨁⪰=≮⫘↔-100110001001111001011110101000","reverse_text":"≮⫘↔-100110001001111001011110101000=((≮⫘↔110011100101↱≮⫘↔101100010111)⫉⨲⊜(≮⫘↔10000000111∇⊂⋱≮⫘↔1001000100111)∠⫱(≮⫘↔11010100000⪒⊣⊆≮⫘↔11001010000)⇂≾⫗(≮⫘↔10111000100∖≮⫘↔101100101001))⇟⨁⪰","cot":[{"info":"≮⫘↔110011100101↱≮⫘↔101100010111=≮⫘↔-1111100111011","layer":3},{"info":"≮⫘↔10000000111∇⊂⋱≮⫘↔1001000100111=≮⫘↔10111101100","layer":3},{"info":"≮⫘↔-1111100111011⫉⨲⊜≮⫘↔10111101100=≮⫘↔100110001001111001010001011100","layer":2},{"info":"≮⫘↔11010100000⪒⊣⊆≮⫘↔11001010000=≮⫘↔110101000000","layer":3},{"info":"≮⫘↔10111000100∖≮⫘↔101100101001=≮⫘↔0","layer":3},{"info":"≮⫘↔110101000000⇂≾⫗≮⫘↔0=≮⫘↔-1010011110","layer":2},{"info":"≮⫘↔100110001001111001010001011100∠⫱≮⫘↔-1010011110=≮⫘↔100110001001111001011011111010","layer":1},{"info":"≮⫘↔100110001001111001011011111010⇟⨁⪰=≮⫘↔-100110001001111001011110101000","layer":0}]}
{"id":185,"expression_no_base_symbol":"(⊑(⫛⫱⨽($1915$⋝⋈⪟$3257$)))↬((($1017$⇮⋭$3210$)⋭≵$1716$⇮⋭$2085$)⩵∡$2802$≒∊$3512$∑⇟⊟($1570$↬⩅∪))","expression":"(⊑(⫛⫱⨽(≮⫘↔11101111011⋝⋈⪟≮⫘↔110010111001)))↬(((≮⫘↔1111111001⇮⋭≮⫘↔110010001010)⋭≵≮⫘↔11010110100⇮⋭≮⫘↔100000100101)⩵∡≮⫘↔101011110010≒∊≮⫘↔110110111000∑⇟⊟(≮⫘↔11000100010↬⩅∪))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1991,"operation_count":11,"complexity_ratio":181.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1915,"base":2},"right_expr":{"type":"numeric_atoms","value":3257,"base":2}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1017,"base":2},"right_expr":{"type":"numeric_atoms","value":3210,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1716,"base":2},"right_expr":{"type":"numeric_atoms","value":2085,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2802,"base":2},"right_expr":{"type":"numeric_atoms","value":3512,"base":2}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1570,"base":2}}}}},"used_operators":["B5M0gjZbta","IkUmn0D7oy","DlLNRPXxWL","2DDjHMKMc0","Y7wcNGrDQJ","jBncVCNhdl","vkpjKywKVM","U7g4x0WXJJ","5KTvxBwnZo","VJ330n2nnx"],"dependent_operators":["rGHVDoGpnC","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1915","layer":4},{"info":"number node, value=3257","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=3257, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1915","layer":3},{"info":"compute unary expreesion, input=1915, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=1017","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=3210, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=2085, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-473, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2802","layer":4},{"info":"number node, value=3512","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=3512, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2318","layer":3},{"info":"number node, value=1570","layer":4},{"info":"compute unary expreesion, input=1570, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-4710","layer":3},{"info":"compute binary expreesion, left_input=-2318, right_input=-4710, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊑(⫛⫱⨽(≮⫘↔11101111011⋝⋈⪟≮⫘↔110010111001)))↬(((≮⫘↔1111111001⇮⋭≮⫘↔110010001010)⋭≵≮⫘↔11010110100⇮⋭≮⫘↔100000100101)⩵∡≮⫘↔101011110010≒∊≮⫘↔110110111000∑⇟⊟(≮⫘↔11000100010↬⩅∪))=NaN","reverse_text":"NaN=(⊑(⫛⫱⨽(≮⫘↔11101111011⋝⋈⪟≮⫘↔110010111001)))↬(((≮⫘↔1111111001⇮⋭≮⫘↔110010001010)⋭≵≮⫘↔11010110100⇮⋭≮⫘↔100000100101)⩵∡≮⫘↔101011110010≒∊≮⫘↔110110111000∑⇟⊟(≮⫘↔11000100010↬⩅∪))","cot":[{"info":"≮⫘↔11101111011⋝⋈⪟≮⫘↔110010111001=≮⫘↔11101111011","layer":3},{"info":"⫛⫱⨽≮⫘↔11101111011=≮⫘↔0","layer":2},{"info":"⊑≮⫘↔0=≮⫘↔11000000","layer":1},{"info":"≮⫘↔1111111001⇮⋭≮⫘↔110010001010=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔11010110100⇮⋭≮⫘↔100000100101=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔-111011001⋭≵≮⫘↔-111011001=≮⫘↔1000011","layer":2},{"info":"≮⫘↔101011110010≒∊≮⫘↔110110111000=≮⫘↔-100100001110","layer":3},{"info":"≮⫘↔11000100010↬⩅∪=≮⫘↔-1001001100110","layer":3},{"info":"≮⫘↔-100100001110∑⇟⊟≮⫘↔-1001001100110=NaN","layer":2},{"info":"≮⫘↔1000011⩵∡NaN=NaN","layer":1},{"info":"≮⫘↔11000000↬NaN=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"↣≠⋷(⊄⩳↩($3777$⫰⋱$5653$↺(⊽$1366$)))","expression":"↣≠⋷(⊄⩳↩(≮⫘↔111011000001⫰⋱≮⫘↔1011000010101↺(⊽≮⫘↔10101010110)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25,"operation_count":5,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3777,"base":2},"right_expr":{"type":"numeric_atoms","value":5653,"base":2}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1366,"base":2}}}}},"used_operators":["Asc51vEJeQ","8w2t5hMYqp","7j4O788W3g","6o9Blt3TJ6","QxG7OkqoLX"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3777","layer":4},{"info":"number node, value=5653","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=5653, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3744","layer":3},{"info":"number node, value=1366","layer":4},{"info":"compute unary expreesion, input=1366, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4254","layer":3},{"info":"compute binary expreesion, left_input=-3744, right_input=4254, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4254","layer":2},{"info":"compute unary expreesion, input=4254, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12762","layer":1},{"info":"compute unary expreesion, input=-12762, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↣≠⋷(⊄⩳↩(≮⫘↔111011000001⫰⋱≮⫘↔1011000010101↺(⊽≮⫘↔10101010110)))=NaN","reverse_text":"NaN=↣≠⋷(⊄⩳↩(≮⫘↔111011000001⫰⋱≮⫘↔1011000010101↺(⊽≮⫘↔10101010110)))","cot":[{"info":"≮⫘↔111011000001⫰⋱≮⫘↔1011000010101=≮⫘↔-111010100000","layer":3},{"info":"⊽≮⫘↔10101010110=≮⫘↔1000010011110","layer":3},{"info":"≮⫘↔-111010100000↺≮⫘↔1000010011110=≮⫘↔1000010011110","layer":2},{"info":"⊄⩳↩≮⫘↔1000010011110=≮⫘↔-11000111011010","layer":1},{"info":"↣≠⋷≮⫘↔-11000111011010=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"(≦∁(⊄⩳↩$5327$)∷$1610$∌$4238$)⨸⪁((⩰$1567$)⨔≚≋($1133$⊭↱$1409$))⪃⊛⇣(⩪∧⨌$1411$⨜⨶$1343$)","expression":"(≦∁(⊄⩳↩≮⫘↔1010011001111)∷≮⫘↔11001001010∌≮⫘↔1000010001110)⨸⪁((⩰≮⫘↔11000011111)⨔≚≋(≮⫘↔10001101101⊭↱≮⫘↔10110000001))⪃⊛⇣(⩪∧⨌≮⫘↔10110000011⨜⨶≮⫘↔10100111111)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":672,"operation_count":11,"complexity_ratio":61.09090909090909,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5327,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1610,"base":2},"right_expr":{"type":"numeric_atoms","value":4238,"base":2}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1567,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1133,"base":2},"right_expr":{"type":"numeric_atoms","value":1409,"base":2}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1411,"base":2},"right_expr":{"type":"numeric_atoms","value":1343,"base":2}}}}},"used_operators":["g55IO6H4Gj","9ICcGScMcE","D3AQDKkPcf","8w2t5hMYqp","8cLx32lpNA","rrgAzCduG9","Z57zeUYC9z","WkeUrDK8WX","COABgblf1C","6iOiAJX1F8","HiPekx5b7W"],"dependent_operators":["W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≮⫘↔1000000001001010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5327","layer":4},{"info":"compute unary expreesion, input=5327, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15981","layer":3},{"info":"number node, value=1610","layer":4},{"info":"number node, value=4238","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=4238, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4238","layer":3},{"info":"compute binary expreesion, left_input=-15981, right_input=-4238, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=15187","layer":2},{"info":"compute unary expreesion, input=15187, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=15187","layer":1},{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2567","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1409, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=557","layer":3},{"info":"compute binary expreesion, left_input=-2567, right_input=557, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=33856","layer":2},{"info":"number node, value=1411","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=1343, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2430","layer":3},{"info":"compute unary expreesion, input=-2430, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-24300","layer":2},{"info":"compute binary expreesion, left_input=33856, right_input=-24300, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=15187, right_input=1234, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=32842","layer":0}],"base":2,"result_base":2,"text":"(≦∁(⊄⩳↩≮⫘↔1010011001111)∷≮⫘↔11001001010∌≮⫘↔1000010001110)⨸⪁((⩰≮⫘↔11000011111)⨔≚≋(≮⫘↔10001101101⊭↱≮⫘↔10110000001))⪃⊛⇣(⩪∧⨌≮⫘↔10110000011⨜⨶≮⫘↔10100111111)=≮⫘↔1000000001001010","reverse_text":"≮⫘↔1000000001001010=(≦∁(⊄⩳↩≮⫘↔1010011001111)∷≮⫘↔11001001010∌≮⫘↔1000010001110)⨸⪁((⩰≮⫘↔11000011111)⨔≚≋(≮⫘↔10001101101⊭↱≮⫘↔10110000001))⪃⊛⇣(⩪∧⨌≮⫘↔10110000011⨜⨶≮⫘↔10100111111)","cot":[{"info":"⊄⩳↩≮⫘↔1010011001111=≮⫘↔-11111001101101","layer":3},{"info":"≮⫘↔11001001010∌≮⫘↔1000010001110=≮⫘↔-1000010001110","layer":3},{"info":"≮⫘↔-11111001101101∷≮⫘↔-1000010001110=≮⫘↔11101101010011","layer":2},{"info":"≦∁≮⫘↔11101101010011=≮⫘↔11101101010011","layer":1},{"info":"⩰≮⫘↔11000011111=≮⫘↔-101000000111","layer":3},{"info":"≮⫘↔10001101101⊭↱≮⫘↔10110000001=≮⫘↔1000101101","layer":3},{"info":"≮⫘↔-101000000111⨔≚≋≮⫘↔1000101101=≮⫘↔1000010001000000","layer":2},{"info":"≮⫘↔10110000011⨜⨶≮⫘↔10100111111=≮⫘↔-100101111110","layer":3},{"info":"⩪∧⨌≮⫘↔-100101111110=≮⫘↔-101111011101100","layer":2},{"info":"≮⫘↔1000010001000000⪃⊛⇣≮⫘↔-101111011101100=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔11101101010011⨸⪁≮⫘↔10011010010=≮⫘↔1000000001001010","layer":0}]}
{"id":188,"expression_no_base_symbol":"(⨩∲⋌($2376$∠⫱$1372$)⨑⩅≇($1224$⋻⩜⩜$3313$))⪁(⋗⩬⋾(⊵⊁($2164$⋷$1052$)))","expression":"(⨩∲⋌(≮⫘↔100101001000∠⫱≮⫘↔10101011100)⨑⩅≇(≮⫘↔10011001000⋻⩜⩜≮⫘↔110011110001))⪁(⋗⩬⋾(⊵⊁(≮⫘↔100001110100⋷≮⫘↔10000011100)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":52736,"operation_count":8,"complexity_ratio":6592.0,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2376,"base":2},"right_expr":{"type":"numeric_atoms","value":1372,"base":2}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1224,"base":2},"right_expr":{"type":"numeric_atoms","value":3313,"base":2}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2164,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}}}}},"used_operators":["I7sXao9hZE","aSik1wnThz","h92wMvzauj","QvoQhV0rrE","oDCm7WA9JY","DpFCA1CohY","AvED76WdY7","23Mk6UjR3U"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2376","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=1372, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1224","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=3313, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2448","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2448, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3702","layer":2},{"info":"compute unary expreesion, input=-3702, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3465","layer":1},{"info":"number node, value=2164","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=1052, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-60","layer":3},{"info":"compute unary expreesion, input=-60, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3465, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨩∲⋌(≮⫘↔100101001000∠⫱≮⫘↔10101011100)⨑⩅≇(≮⫘↔10011001000⋻⩜⩜≮⫘↔110011110001))⪁(⋗⩬⋾(⊵⊁(≮⫘↔100001110100⋷≮⫘↔10000011100)))=NaN","reverse_text":"NaN=(⨩∲⋌(≮⫘↔100101001000∠⫱≮⫘↔10101011100)⨑⩅≇(≮⫘↔10011001000⋻⩜⩜≮⫘↔110011110001))⪁(⋗⩬⋾(⊵⊁(≮⫘↔100001110100⋷≮⫘↔10000011100)))","cot":[{"info":"≮⫘↔100101001000∠⫱≮⫘↔10101011100=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011001000⋻⩜⩜≮⫘↔110011110001=≮⫘↔100110010000","layer":3},{"info":"≮⫘↔10011010010⨑⩅≇≮⫘↔100110010000=≮⫘↔-111001110110","layer":2},{"info":"⨩∲⋌≮⫘↔-111001110110=≮⫘↔-110110001001","layer":1},{"info":"≮⫘↔100001110100⋷≮⫘↔10000011100=≮⫘↔-111100","layer":3},{"info":"⊵⊁≮⫘↔-111100=≮⫘↔0","layer":2},{"info":"⋗⩬⋾≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔-110110001001⪁≮⫘↔0=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"↴⪽⋼($2860$+⇶⊼$3241$)⩦($1100$⫚↹⊑$3984$)⋳⪒($2532$⩼⇪↪$4793$⇟⨁⪰)","expression":"↴⪽⋼(≮⫘↔101100101100+⇶⊼≮⫘↔110010101001)⩦(≮⫘↔10001001100⫚↹⊑≮⫘↔111110010000)⋳⪒(≮⫘↔100111100100⩼⇪↪≮⫘↔1001010111001⇟⨁⪰)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":183,"operation_count":7,"complexity_ratio":26.142857142857142,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2860,"base":2},"right_expr":{"type":"numeric_atoms","value":3241,"base":2}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1100,"base":2},"right_expr":{"type":"numeric_atoms","value":3984,"base":2}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2532,"base":2},"right_expr":{"type":"numeric_atoms","value":4793,"base":2}}}}},"used_operators":["5TUYCnJO6w","12rbrZMWeM","0kmYd0q39Y","TpPTUOHfaN","dfKe02y8D2","BX1lVwlMe0","ocnLzx9CaJ"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2860","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=3241, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=3984","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=3984, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=2532","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=4793, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-29270","layer":3},{"info":"compute unary expreesion, input=-29270, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=29096","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29096, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↴⪽⋼(≮⫘↔101100101100+⇶⊼≮⫘↔110010101001)⩦(≮⫘↔10001001100⫚↹⊑≮⫘↔111110010000)⋳⪒(≮⫘↔100111100100⩼⇪↪≮⫘↔1001010111001⇟⨁⪰)=NaN","reverse_text":"NaN=↴⪽⋼(≮⫘↔101100101100+⇶⊼≮⫘↔110010101001)⩦(≮⫘↔10001001100⫚↹⊑≮⫘↔111110010000)⋳⪒(≮⫘↔100111100100⩼⇪↪≮⫘↔1001010111001⇟⨁⪰)","cot":[{"info":"≮⫘↔101100101100+⇶⊼≮⫘↔110010101001=NaN","layer":3},{"info":"≮⫘↔10001001100⫚↹⊑≮⫘↔111110010000=≮⫘↔-110111111","layer":3},{"info":"NaN⩦≮⫘↔-110111111=NaN","layer":2},{"info":"≮⫘↔100111100100⩼⇪↪≮⫘↔1001010111001=≮⫘↔-111001001010110","layer":3},{"info":"≮⫘↔-111001001010110⇟⨁⪰=≮⫘↔111000110101000","layer":2},{"info":"NaN⋳⪒≮⫘↔111000110101000=NaN","layer":1},{"info":"↴⪽⋼NaN=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"($6885$⫏⊷)∇⊂⋱$1260$≁↽≥$1604$→⨶⪴(⇖⫷⫕($6245$⋥≓≎$4370$))⨔≚≋(($2753$∋$4099$⋳⪒$1015$⊋$1784$)⊴⇁⪶)","expression":"(≮⫘↔1101011100101⫏⊷)∇⊂⋱≮⫘↔10011101100≁↽≥≮⫘↔11001000100→⨶⪴(⇖⫷⫕(≮⫘↔1100001100101⋥≓≎≮⫘↔1000100010010))⨔≚≋((≮⫘↔101011000001∋≮⫘↔1000000000011⋳⪒≮⫘↔1111110111⊋≮⫘↔11011111000)⊴⇁⪶)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23427,"operation_count":11,"complexity_ratio":2129.7272727272725,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":6885,"base":2}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1260,"base":2},"right_expr":{"type":"numeric_atoms","value":1604,"base":2}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6245,"base":2},"right_expr":{"type":"numeric_atoms","value":4370,"base":2}}}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2753,"base":2},"right_expr":{"type":"numeric_atoms","value":4099,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1015,"base":2},"right_expr":{"type":"numeric_atoms","value":1784,"base":2}}}}},"used_operators":["Z57zeUYC9z","bF6eod5Gvf","nhYeJWJD5X","dcShxvzhyw","ncHt1X6cMc","UHmRx3INFg","Qy55tPpLXF","oo9mF6JIpo","12rbrZMWeM","ukq6epAj5P","W4tP9CfskL"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","oWn0xqSxBt","3Oe9XWJUTD","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6885","layer":4},{"info":"compute unary expreesion, input=6885, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=1604, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=23016","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=23016, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-46032","layer":2},{"info":"number node, value=6245","layer":4},{"info":"number node, value=4370","layer":4},{"info":"compute binary expreesion, left_input=6245, right_input=4370, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2528","layer":3},{"info":"compute unary expreesion, input=2528, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-46032, right_input=2822, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8466","layer":1},{"info":"number node, value=2753","layer":4},{"info":"number node, value=4099","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=4099, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=8582612","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1784, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-9948440","layer":3},{"info":"compute binary expreesion, left_input=8582612, right_input=-9948440, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=27113377","layer":2},{"info":"compute unary expreesion, input=27113377, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8466, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101011100101⫏⊷)∇⊂⋱≮⫘↔10011101100≁↽≥≮⫘↔11001000100→⨶⪴(⇖⫷⫕(≮⫘↔1100001100101⋥≓≎≮⫘↔1000100010010))⨔≚≋((≮⫘↔101011000001∋≮⫘↔1000000000011⋳⪒≮⫘↔1111110111⊋≮⫘↔11011111000)⊴⇁⪶)=NaN","reverse_text":"NaN=(≮⫘↔1101011100101⫏⊷)∇⊂⋱≮⫘↔10011101100≁↽≥≮⫘↔11001000100→⨶⪴(⇖⫷⫕(≮⫘↔1100001100101⋥≓≎≮⫘↔1000100010010))⨔≚≋((≮⫘↔101011000001∋≮⫘↔1000000000011⋳⪒≮⫘↔1111110111⊋≮⫘↔11011111000)⊴⇁⪶)","cot":[{"info":"≮⫘↔1101011100101⫏⊷=≮⫘↔-1100110100","layer":3},{"info":"≮⫘↔10011101100≁↽≥≮⫘↔11001000100=≮⫘↔101100111101000","layer":3},{"info":"≮⫘↔-1100110100∇⊂⋱≮⫘↔101100111101000=≮⫘↔-1011001111010000","layer":2},{"info":"≮⫘↔1100001100101⋥≓≎≮⫘↔1000100010010=≮⫘↔100111100000","layer":3},{"info":"⇖⫷⫕≮⫘↔100111100000=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔-1011001111010000→⨶⪴≮⫘↔101100000110=≮⫘↔-10000100010010","layer":1},{"info":"≮⫘↔101011000001∋≮⫘↔1000000000011=≮⫘↔100000101111010111010100","layer":3},{"info":"≮⫘↔1111110111⊋≮⫘↔11011111000=≮⫘↔-100101111100110100011000","layer":3},{"info":"≮⫘↔100000101111010111010100⋳⪒≮⫘↔-100101111100110100011000=≮⫘↔1100111011011011110100001","layer":2},{"info":"≮⫘↔1100111011011011110100001⊴⇁⪶=NaN","layer":1},{"info":"≮⫘↔-10000100010010⨔≚≋NaN=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"(($2041$⨒$1763$)⨥⫆(≸$1147$))⫣⪄⊒($1534$⪬$2106$⪮%⊝$1229$⨜⨶$7930$)⩒⫫($1865$/$3642$)⇴(⇜$4707$)⇴(($5089$⇋≉)⊎←↗)","expression":"((≮⫘↔11111111001⨒≮⫘↔11011100011)⨥⫆(≸≮⫘↔10001111011))⫣⪄⊒(≮⫘↔10111111110⪬≮⫘↔100000111010⪮%⊝≮⫘↔10011001101⨜⨶≮⫘↔1111011111010)⩒⫫(≮⫘↔11101001001/≮⫘↔111000111010)⇴(⇜≮⫘↔1001001100011)⇴((≮⫘↔1001111100001⇋≉)⊎←↗)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1108,"operation_count":14,"complexity_ratio":79.14285714285714,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2041,"base":2},"right_expr":{"type":"numeric_atoms","value":1763,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1147,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1534,"base":2},"right_expr":{"type":"numeric_atoms","value":2106,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1229,"base":2},"right_expr":{"type":"numeric_atoms","value":7930,"base":2}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1865,"base":2},"right_expr":{"type":"numeric_atoms","value":3642,"base":2}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4707,"base":2}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5089,"base":2}}}}},"used_operators":["KFSx94NKJn","RabNbG55vr","yXekIHxTD4","y75s1iXyHd","eOf03JbCpp","IWmyXbctLI","Ez1Nq5fNfI","HiPekx5b7W","4JB6nKBMSY","XhwjNDsVaA","lFBm8KRb8F","dwb5p0fa6d","XIabStNQrY"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","sdazOOVcIp","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2041","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=1763, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-11874","layer":3},{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=-11874, right_input=58, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=1534","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=2106, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1229","layer":4},{"info":"number node, value=7930","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=7930, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-15604","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-15604, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2784","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=2784, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-17218","layer":1},{"info":"number node, value=1865","layer":4},{"info":"number node, value=3642","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=3642, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4707","layer":4},{"info":"compute unary expreesion, input=4707, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-38064","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-38064, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-76514","layer":2},{"info":"number node, value=5089","layer":4},{"info":"compute unary expreesion, input=5089, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=10080","layer":3},{"info":"compute unary expreesion, input=10080, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-19475","layer":2},{"info":"compute binary expreesion, left_input=-76514, right_input=-19475, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-498420","layer":1},{"info":"compute binary expreesion, left_input=-17218, right_input=-498420, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11111111001⨒≮⫘↔11011100011)⨥⫆(≸≮⫘↔10001111011))⫣⪄⊒(≮⫘↔10111111110⪬≮⫘↔100000111010⪮%⊝≮⫘↔10011001101⨜⨶≮⫘↔1111011111010)⩒⫫(≮⫘↔11101001001/≮⫘↔111000111010)⇴(⇜≮⫘↔1001001100011)⇴((≮⫘↔1001111100001⇋≉)⊎←↗)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((≮⫘↔11111111001⨒≮⫘↔11011100011)⨥⫆(≸≮⫘↔10001111011))⫣⪄⊒(≮⫘↔10111111110⪬≮⫘↔100000111010⪮%⊝≮⫘↔10011001101⨜⨶≮⫘↔1111011111010)⩒⫫(≮⫘↔11101001001/≮⫘↔111000111010)⇴(⇜≮⫘↔1001001100011)⇴((≮⫘↔1001111100001⇋≉)⊎←↗)","cot":[{"info":"≮⫘↔11111111001⨒≮⫘↔11011100011=≮⫘↔-10111001100010","layer":3},{"info":"≸≮⫘↔10001111011=≮⫘↔111010","layer":3},{"info":"≮⫘↔-10111001100010⨥⫆≮⫘↔111010=≮⫘↔-1","layer":2},{"info":"≮⫘↔10111111110⪬≮⫘↔100000111010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011001101⨜⨶≮⫘↔1111011111010=≮⫘↔-11110011110100","layer":3},{"info":"≮⫘↔10011010010⪮%⊝≮⫘↔-11110011110100=≮⫘↔101011100000","layer":2},{"info":"≮⫘↔-1⫣⪄⊒≮⫘↔101011100000=≮⫘↔-100001101000010","layer":1},{"info":"≮⫘↔11101001001/≮⫘↔111000111010=≮⫘↔0","layer":3},{"info":"⇜≮⫘↔1001001100011=≮⫘↔-1001010010110000","layer":3},{"info":"≮⫘↔0⇴≮⫘↔-1001010010110000=≮⫘↔-10010101011100010","layer":2},{"info":"≮⫘↔1001111100001⇋≉=≮⫘↔10011101100000","layer":3},{"info":"≮⫘↔10011101100000⊎←↗=≮⫘↔-100110000010011","layer":2},{"info":"≮⫘↔-10010101011100010⇴≮⫘↔-100110000010011=≮⫘↔-1111001101011110100","layer":1},{"info":"≮⫘↔-100001101000010⩒⫫≮⫘↔-1111001101011110100=≮⫘↔10100000","layer":0}]}
{"id":192,"expression_no_base_symbol":"($1270$⇉⇉)↳∿⪆(↪⫪⫘$1005$)↺($1545$+⇶⊼$3386$)≎⪠($1383$⪢$1162$)⇼⇔∾((⨙⪌$2121$)∛($1786$∷$5254$)⊢)","expression":"(≮⫘↔10011110110⇉⇉)↳∿⪆(↪⫪⫘≮⫘↔1111101101)↺(≮⫘↔11000001001+⇶⊼≮⫘↔110100111010)≎⪠(≮⫘↔10101100111⪢≮⫘↔10010001010)⇼⇔∾((⨙⪌≮⫘↔100001001001)∛(≮⫘↔11011111010∷≮⫘↔1010010000110)⊢)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24382,"operation_count":12,"complexity_ratio":2031.8333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1270,"base":2}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1005,"base":2}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1545,"base":2},"right_expr":{"type":"numeric_atoms","value":3386,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1383,"base":2},"right_expr":{"type":"numeric_atoms","value":1162,"base":2}}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2121,"base":2}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1786,"base":2},"right_expr":{"type":"numeric_atoms","value":5254,"base":2}}}}},"used_operators":["tifHPKVTfV","7j4O788W3g","Cw4SuJJGHO","diKm42VcIt","9dWsAM3GFt","aNhz54LH3e","TpPTUOHfaN","dWAJyo7jo9","40aOVDgCDB","w2537kitQq","vEGLkm4Z2k","D3AQDKkPcf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","AHs5Up7iyr","k8jYdgA6NY","NTOWxs364D","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≮⫘↔-100111100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-71616","layer":3},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-71616, right_input=20, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1545","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=3386, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1383","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=1162, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=19558","layer":1},{"info":"number node, value=2121","layer":4},{"info":"compute unary expreesion, input=2121, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1786","layer":4},{"info":"number node, value=5254","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=5254, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5254","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=5254, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=-670, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-20228","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10011110110⇉⇉)↳∿⪆(↪⫪⫘≮⫘↔1111101101)↺(≮⫘↔11000001001+⇶⊼≮⫘↔110100111010)≎⪠(≮⫘↔10101100111⪢≮⫘↔10010001010)⇼⇔∾((⨙⪌≮⫘↔100001001001)∛(≮⫘↔11011111010∷≮⫘↔1010010000110)⊢)=≮⫘↔-100111100000100","reverse_text":"≮⫘↔-100111100000100=(≮⫘↔10011110110⇉⇉)↳∿⪆(↪⫪⫘≮⫘↔1111101101)↺(≮⫘↔11000001001+⇶⊼≮⫘↔110100111010)≎⪠(≮⫘↔10101100111⪢≮⫘↔10010001010)⇼⇔∾((⨙⪌≮⫘↔100001001001)∛(≮⫘↔11011111010∷≮⫘↔1010010000110)⊢)","cot":[{"info":"≮⫘↔10011110110⇉⇉=≮⫘↔-10001011111000000","layer":3},{"info":"↪⫪⫘≮⫘↔1111101101=≮⫘↔10100","layer":3},{"info":"≮⫘↔-10001011111000000↳∿⪆≮⫘↔10100=NaN","layer":2},{"info":"≮⫘↔11000001001+⇶⊼≮⫘↔110100111010=NaN","layer":3},{"info":"≮⫘↔10101100111⪢≮⫘↔10010001010=NaN","layer":3},{"info":"NaN≎⪠NaN=≮⫘↔100110001100110","layer":2},{"info":"NaN↺≮⫘↔100110001100110=≮⫘↔100110001100110","layer":1},{"info":"⨙⪌≮⫘↔100001001001=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔11011111010∷≮⫘↔1010010000110=≮⫘↔1010010000110","layer":3},{"info":"≮⫘↔1101100100∛≮⫘↔1010010000110=≮⫘↔-1010011110","layer":2},{"info":"≮⫘↔-1010011110⊢=≮⫘↔-1010011110","layer":1},{"info":"≮⫘↔100110001100110⇼⇔∾≮⫘↔-1010011110=≮⫘↔-100111100000100","layer":0}]}
{"id":193,"expression_no_base_symbol":"∂(⇘(($8634$⇯⋐)≚⊃≕(∂$5230$)))","expression":"∂(⇘((≮⫘↔10000110111010⇯⋐)≚⊃≕(∂≮⫘↔1010001101110)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":221115,"operation_count":5,"complexity_ratio":44223.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":8634,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5230,"base":2}}}}},"used_operators":["Uaa54Peajs","MGuIdZPyUC","Bmrmz2XGnR","LkLIoiE525"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8634","layer":4},{"info":"compute unary expreesion, input=8634, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=26780","layer":3},{"info":"number node, value=5230","layer":4},{"info":"compute unary expreesion, input=5230, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=26780, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-110514","layer":2},{"info":"compute unary expreesion, input=-110514, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∂(⇘((≮⫘↔10000110111010⇯⋐)≚⊃≕(∂≮⫘↔1010001101110)))=NaN","reverse_text":"NaN=∂(⇘((≮⫘↔10000110111010⇯⋐)≚⊃≕(∂≮⫘↔1010001101110)))","cot":[{"info":"≮⫘↔10000110111010⇯⋐=≮⫘↔110100010011100","layer":3},{"info":"∂≮⫘↔1010001101110=NaN","layer":3},{"info":"≮⫘↔110100010011100≚⊃≕NaN=≮⫘↔-11010111110110010","layer":2},{"info":"⇘≮⫘↔-11010111110110010=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":194,"expression_no_base_symbol":"((⨞⊢($4088$*$1862$))⇉⇉)⪁(∜⨇$2237$⪬$4987$)⪝(($5142$≬⇓$8552$)⇆⨓≜)","expression":"((⨞⊢(≮⫘↔111111111000*≮⫘↔11101000110))⇉⇉)⪁(∜⨇≮⫘↔100010111101⪬≮⫘↔1001101111011)⪝((≮⫘↔1010000010110≬⇓≮⫘↔10000101101000)⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3157,"operation_count":9,"complexity_ratio":350.77777777777777,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4088,"base":2},"right_expr":{"type":"numeric_atoms","value":1862,"base":2}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2237,"base":2},"right_expr":{"type":"numeric_atoms","value":4987,"base":2}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5142,"base":2},"right_expr":{"type":"numeric_atoms","value":8552,"base":2}}}}},"used_operators":["I7sXao9hZE","diKm42VcIt","xUOZtlo3hN","9HNa5Wba9A","wicAB68Tmb","uFPyJr306J","Ez1Nq5fNfI","KvvgdUaMHJ","jWTQ2TZYIH"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Uaa54Peajs","KYD54nUTWz","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4088","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=1862, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7611856","layer":3},{"info":"compute unary expreesion, input=7611856, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7612030","layer":2},{"info":"compute unary expreesion, input=-7612030, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=76126952","layer":1},{"info":"number node, value=2237","layer":4},{"info":"number node, value=4987","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=4987, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=5142","layer":4},{"info":"number node, value=8552","layer":4},{"info":"compute binary expreesion, left_input=5142, right_input=8552, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=76126952, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨞⊢(≮⫘↔111111111000*≮⫘↔11101000110))⇉⇉)⪁(∜⨇≮⫘↔100010111101⪬≮⫘↔1001101111011)⪝((≮⫘↔1010000010110≬⇓≮⫘↔10000101101000)⇆⨓≜)=NaN","reverse_text":"NaN=((⨞⊢(≮⫘↔111111111000*≮⫘↔11101000110))⇉⇉)⪁(∜⨇≮⫘↔100010111101⪬≮⫘↔1001101111011)⪝((≮⫘↔1010000010110≬⇓≮⫘↔10000101101000)⇆⨓≜)","cot":[{"info":"≮⫘↔111111111000*≮⫘↔11101000110=≮⫘↔11101000010010111010000","layer":3},{"info":"⨞⊢≮⫘↔11101000010010111010000=≮⫘↔-11101000010011001111110","layer":2},{"info":"≮⫘↔-11101000010011001111110⇉⇉=≮⫘↔100100010011001101011101000","layer":1},{"info":"≮⫘↔100010111101⪬≮⫘↔1001101111011=≮⫘↔10011010010","layer":3},{"info":"∜⨇≮⫘↔10011010010=NaN","layer":2},{"info":"≮⫘↔1010000010110≬⇓≮⫘↔10000101101000=≮⫘↔-10110","layer":3},{"info":"≮⫘↔-10110⇆⨓≜=NaN","layer":2},{"info":"NaN⪝NaN=NaN","layer":1},{"info":"≮⫘↔100100010011001101011101000⪁NaN=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"⨙⪌(($4615$⫻⋑⊟)⨵⪆$3626$⊴$7015$⫚↹⊑$3000$⊮⊟↴$1132$⫥∨⫟(⫓⪴$1452$))","expression":"⨙⪌((≮⫘↔1001000000111⫻⋑⊟)⨵⪆≮⫘↔111000101010⊴≮⫘↔1101101100111⫚↹⊑≮⫘↔101110111000⊮⊟↴≮⫘↔10001101100⫥∨⫟(⫓⪴≮⫘↔10110101100))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9607,"operation_count":8,"complexity_ratio":1200.875,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":4615,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3626,"base":2},"right_expr":{"type":"numeric_atoms","value":7015,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3000,"base":2},"right_expr":{"type":"numeric_atoms","value":1132,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1452,"base":2}}}}},"used_operators":["vEGLkm4Z2k","dfKe02y8D2","2DQ55sFlQl","o575Zjdmzy","Nsiff2A1zJ","KYD54nUTWz","QDVgd2eftb","eLxqMNBOBk"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9HNa5Wba9A"],"result":"≮⫘↔1101100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4615","layer":4},{"info":"compute unary expreesion, input=4615, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-8720","layer":3},{"info":"number node, value=3626","layer":4},{"info":"number node, value=7015","layer":4},{"info":"compute binary expreesion, left_input=3626, right_input=7015, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8720, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3000","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=1132, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2108304","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2108304, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":2,"result_base":2,"text":"⨙⪌((≮⫘↔1001000000111⫻⋑⊟)⨵⪆≮⫘↔111000101010⊴≮⫘↔1101101100111⫚↹⊑≮⫘↔101110111000⊮⊟↴≮⫘↔10001101100⫥∨⫟(⫓⪴≮⫘↔10110101100))=≮⫘↔1101100100","reverse_text":"≮⫘↔1101100100=⨙⪌((≮⫘↔1001000000111⫻⋑⊟)⨵⪆≮⫘↔111000101010⊴≮⫘↔1101101100111⫚↹⊑≮⫘↔101110111000⊮⊟↴≮⫘↔10001101100⫥∨⫟(⫓⪴≮⫘↔10110101100))","cot":[{"info":"≮⫘↔1001000000111⫻⋑⊟=≮⫘↔-10001000010000","layer":3},{"info":"≮⫘↔111000101010⊴≮⫘↔1101101100111=NaN","layer":3},{"info":"≮⫘↔-10001000010000⨵⪆NaN=≮⫘↔10100000","layer":2},{"info":"≮⫘↔101110111000⊮⊟↴≮⫘↔10001101100=≮⫘↔0","layer":3},{"info":"⫓⪴≮⫘↔10110101100=≮⫘↔1000000010101110010000","layer":3},{"info":"≮⫘↔0⫥∨⫟≮⫘↔1000000010101110010000=NaN","layer":2},{"info":"≮⫘↔10100000⫚↹⊑NaN=≮⫘↔-110111111","layer":1},{"info":"⨙⪌≮⫘↔-110111111=≮⫘↔1101100100","layer":0}]}
{"id":196,"expression_no_base_symbol":"⊄⩳↩((($2947$⊧↖)≦≮≮)⩭)","expression":"⊄⩳↩(((≮⫘↔101110000011⊧↖)≦≮≮)⩭)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3895,"operation_count":4,"complexity_ratio":973.75,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":2947,"base":2}}}}},"used_operators":["8w2t5hMYqp","yIPP7u6H5x","D4vGDi5EA2","EKiFHuOFxO"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","W4YGzv6Whe","t8gj7n24qd","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2947","layer":4},{"info":"compute unary expreesion, input=2947, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=52123664","layer":3},{"info":"compute unary expreesion, input=52123664, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-156370992","layer":2},{"info":"compute unary expreesion, input=-156370992, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊄⩳↩(((≮⫘↔101110000011⊧↖)≦≮≮)⩭)=NaN","reverse_text":"NaN=⊄⩳↩(((≮⫘↔101110000011⊧↖)≦≮≮)⩭)","cot":[{"info":"≮⫘↔101110000011⊧↖=≮⫘↔11000110110101100000010000","layer":3},{"info":"≮⫘↔11000110110101100000010000≦≮≮=≮⫘↔-1001010100100000100000110000","layer":2},{"info":"≮⫘↔-1001010100100000100000110000⩭=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":197,"expression_no_base_symbol":"⪓⩚(⋂$2859$≌$2825$)≄⊠($1521$↳∿⪆$4963$)⩁⩘($2610$⫌⩹⨱)","expression":"⪓⩚(⋂≮⫘↔101100101011≌≮⫘↔101100001001)≄⊠(≮⫘↔10111110001↳∿⪆≮⫘↔1001101100011)⩁⩘(≮⫘↔101000110010⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8907,"operation_count":7,"complexity_ratio":1272.4285714285713,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2859,"base":2},"right_expr":{"type":"numeric_atoms","value":2825,"base":2}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1521,"base":2},"right_expr":{"type":"numeric_atoms","value":4963,"base":2}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2610,"base":2}}}}},"used_operators":["u0R0Locfp2","vXNesLlMH1","BUOGQAYlQx","lyWz822IDG","gub5Cegaqo","Cw4SuJJGHO","EBcxylXtPf"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","IWmyXbctLI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔110101010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2859","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=2825, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":2},{"info":"number node, value=1521","layer":4},{"info":"number node, value=4963","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=4963, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2610","layer":4},{"info":"compute unary expreesion, input=2610, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6621","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6621, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute unary expreesion, input=1500, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":2,"result_base":2,"text":"⪓⩚(⋂≮⫘↔101100101011≌≮⫘↔101100001001)≄⊠(≮⫘↔10111110001↳∿⪆≮⫘↔1001101100011)⩁⩘(≮⫘↔101000110010⫌⩹⨱)=≮⫘↔110101010","reverse_text":"≮⫘↔110101010=⪓⩚(⋂≮⫘↔101100101011≌≮⫘↔101100001001)≄⊠(≮⫘↔10111110001↳∿⪆≮⫘↔1001101100011)⩁⩘(≮⫘↔101000110010⫌⩹⨱)","cot":[{"info":"≮⫘↔101100101011≌≮⫘↔101100001001=NaN","layer":3},{"info":"⋂NaN=NaN","layer":2},{"info":"≮⫘↔10111110001↳∿⪆≮⫘↔1001101100011=NaN","layer":3},{"info":"≮⫘↔101000110010⫌⩹⨱=≮⫘↔1100111011101","layer":3},{"info":"NaN⩁⩘≮⫘↔1100111011101=NaN","layer":2},{"info":"NaN≄⊠NaN=≮⫘↔10111011100","layer":1},{"info":"⪓⩚≮⫘↔10111011100=≮⫘↔110101010","layer":0}]}
{"id":198,"expression_no_base_symbol":"($4838$⩣⫁∢$2800$⪒⊣⊆($4661$⇗⋫)↸(⇜$1900$)⪭($4595$⩷∴$3397$))⪥(↡$6822$)≌($6288$↸$1695$)⩼⇪↪(⇋⊎⋝($5655$⪁$2749$))","expression":"(≮⫘↔1001011100110⩣⫁∢≮⫘↔101011110000⪒⊣⊆(≮⫘↔1001000110101⇗⋫)↸(⇜≮⫘↔11101101100)⪭(≮⫘↔1000111110011⩷∴≮⫘↔110101000101))⪥(↡≮⫘↔1101010100110)≌(≮⫘↔1100010010000↸≮⫘↔11010011111)⩼⇪↪(⇋⊎⋝(≮⫘↔1011000010111⪁≮⫘↔101010111101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":108537077,"operation_count":14,"complexity_ratio":7752648.357142857,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4838,"base":2},"right_expr":{"type":"numeric_atoms","value":2800,"base":2}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":4661,"base":2}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1900,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4595,"base":2},"right_expr":{"type":"numeric_atoms","value":3397,"base":2}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":6822,"base":2}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":6288,"base":2},"right_expr":{"type":"numeric_atoms","value":1695,"base":2}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5655,"base":2},"right_expr":{"type":"numeric_atoms","value":2749,"base":2}}}}},"used_operators":["QbnwKVWMIQ","1eCjFl0mb9","eRqsBgTDFp","JDUIKTTSIa","hpqmaQFPrd","j9kHMeSvPp","lFBm8KRb8F","9FxExcQeMw","ocnLzx9CaJ","lyWz822IDG","MXaNJeIAZ3","CzM2PEoXns","I7sXao9hZE"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","W4YGzv6Whe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rxpJgHHUmx","COABgblf1C","xUOZtlo3hN","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","dWAJyo7jo9","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4838","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=4838, right_input=2800, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-9515","layer":3},{"info":"number node, value=4661","layer":4},{"info":"compute unary expreesion, input=4661, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9515, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"number node, value=1900","layer":4},{"info":"compute unary expreesion, input=1900, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-15608","layer":3},{"info":"number node, value=4595","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=4595, right_input=3397, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2364","layer":3},{"info":"compute binary expreesion, left_input=-15608, right_input=2364, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=15434","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15434, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"number node, value=6822","layer":4},{"info":"compute unary expreesion, input=6822, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=61398","layer":3},{"info":"number node, value=6288","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=6288, right_input=1695, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6288","layer":3},{"info":"compute binary expreesion, left_input=61398, right_input=6288, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=5655","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=5655, right_input=2749, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001011100110⩣⫁∢≮⫘↔101011110000⪒⊣⊆(≮⫘↔1001000110101⇗⋫)↸(⇜≮⫘↔11101101100)⪭(≮⫘↔1000111110011⩷∴≮⫘↔110101000101))⪥(↡≮⫘↔1101010100110)≌(≮⫘↔1100010010000↸≮⫘↔11010011111)⩼⇪↪(⇋⊎⋝(≮⫘↔1011000010111⪁≮⫘↔101010111101))=NaN","reverse_text":"NaN=(≮⫘↔1001011100110⩣⫁∢≮⫘↔101011110000⪒⊣⊆(≮⫘↔1001000110101⇗⋫)↸(⇜≮⫘↔11101101100)⪭(≮⫘↔1000111110011⩷∴≮⫘↔110101000101))⪥(↡≮⫘↔1101010100110)≌(≮⫘↔1100010010000↸≮⫘↔11010011111)⩼⇪↪(⇋⊎⋝(≮⫘↔1011000010111⪁≮⫘↔101010111101))","cot":[{"info":"≮⫘↔1001011100110⩣⫁∢≮⫘↔101011110000=≮⫘↔-10010100101011","layer":3},{"info":"≮⫘↔1001000110101⇗⋫=NaN","layer":3},{"info":"≮⫘↔-10010100101011⪒⊣⊆NaN=NaN","layer":2},{"info":"⇜≮⫘↔11101101100=≮⫘↔-11110011111000","layer":3},{"info":"≮⫘↔1000111110011⩷∴≮⫘↔110101000101=≮⫘↔100100111100","layer":3},{"info":"≮⫘↔-11110011111000⪭≮⫘↔100100111100=≮⫘↔11110001001010","layer":2},{"info":"NaN↸≮⫘↔11110001001010=NaN","layer":1},{"info":"↡≮⫘↔1101010100110=≮⫘↔1110111111010110","layer":3},{"info":"≮⫘↔1100010010000↸≮⫘↔11010011111=≮⫘↔1100010010000","layer":3},{"info":"≮⫘↔1110111111010110≌≮⫘↔1100010010000=NaN","layer":2},{"info":"≮⫘↔1011000010111⪁≮⫘↔101010111101=NaN","layer":3},{"info":"⇋⊎⋝NaN=NaN","layer":2},{"info":"NaN⩼⇪↪NaN=NaN","layer":1},{"info":"NaN⪥NaN=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"⊥((($3781$⩺⪪$2016$)⇄($4015$⨭⪣$1058$))⊎←↗)","expression":"⊥(((≮⫘↔111011000101⩺⪪≮⫘↔11111100000)⇄(≮⫘↔111110101111⨭⪣≮⫘↔10000100010))⊎←↗)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":176,"operation_count":5,"complexity_ratio":35.2,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3781,"base":2},"right_expr":{"type":"numeric_atoms","value":2016,"base":2}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4015,"base":2},"right_expr":{"type":"numeric_atoms","value":1058,"base":2}}}}},"used_operators":["Q3PJZHRvZv","dwb5p0fa6d","3EYGwJThht","uvdQJvN4PV","kn8WO9XteQ"],"dependent_operators":["fu6greOZ01","sdazOOVcIp","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3781","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=2016, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-29138","layer":3},{"info":"number node, value=4015","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=4015, right_input=1058, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2736","layer":3},{"info":"compute binary expreesion, left_input=-29138, right_input=2736, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-2252","layer":2},{"info":"compute unary expreesion, input=-2252, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=5189","layer":1},{"info":"compute unary expreesion, input=5189, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊥(((≮⫘↔111011000101⩺⪪≮⫘↔11111100000)⇄(≮⫘↔111110101111⨭⪣≮⫘↔10000100010))⊎←↗)=NaN","reverse_text":"NaN=⊥(((≮⫘↔111011000101⩺⪪≮⫘↔11111100000)⇄(≮⫘↔111110101111⨭⪣≮⫘↔10000100010))⊎←↗)","cot":[{"info":"≮⫘↔111011000101⩺⪪≮⫘↔11111100000=≮⫘↔-111000111010010","layer":3},{"info":"≮⫘↔111110101111⨭⪣≮⫘↔10000100010=≮⫘↔101010110000","layer":3},{"info":"≮⫘↔-111000111010010⇄≮⫘↔101010110000=≮⫘↔-100011001100","layer":2},{"info":"≮⫘↔-100011001100⊎←↗=≮⫘↔1010001000101","layer":1},{"info":"⊥≮⫘↔1010001000101=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"($1295$⨿$2575$⨘⋶⪀)⫞⩸⩒((∨∊⋏$4364$)⫣⪄⊒(⇋↷$1127$))⩺⪪(($8629$⊪)⪪($2211$⪶≀⋏$1829$))⨽∌($5483$⊮⊟↴$1168$⪶≀⋏$5081$∥⊢⊲$3764$)","expression":"(≮⫘↔10100001111⨿≮⫘↔101000001111⨘⋶⪀)⫞⩸⩒((∨∊⋏≮⫘↔1000100001100)⫣⪄⊒(⇋↷≮⫘↔10001100111))⩺⪪((≮⫘↔10000110110101⊪)⪪(≮⫘↔100010100011⪶≀⋏≮⫘↔11100100101))⨽∌(≮⫘↔1010101101011⊮⊟↴≮⫘↔10010010000⪶≀⋏≮⫘↔1001111011001∥⊢⊲≮⫘↔111010110100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":757,"operation_count":14,"complexity_ratio":54.07142857142857,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1295,"base":2},"right_expr":{"type":"numeric_atoms","value":2575,"base":2}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":4364,"base":2}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1127,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":8629,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2211,"base":2},"right_expr":{"type":"numeric_atoms","value":1829,"base":2}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5483,"base":2},"right_expr":{"type":"numeric_atoms","value":1168,"base":2}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5081,"base":2},"right_expr":{"type":"numeric_atoms","value":3764,"base":2}}}}},"used_operators":["uvdQJvN4PV","XGcMNugi78","XVKwrhznBb","abYXlopdE0","RabNbG55vr","R5aXW34M0v","SWo3A1KBJH","9samAPKr6k","xD69zh8xqp","zVYPLywUTj","zR4jO40bMj","QDVgd2eftb","v1UQAVDJRr"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","FU0Cs4j7VP","JclMnS0uGI","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1295","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2575, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"number node, value=4364","layer":4},{"info":"compute unary expreesion, input=4364, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=91535","layer":3},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=9016","layer":3},{"info":"compute binary expreesion, left_input=91535, right_input=9016, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-36310","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-36310, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"number node, value=8629","layer":4},{"info":"compute unary expreesion, input=8629, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=1829","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=1829, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10523","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10523, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":2},{"info":"number node, value=5483","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=5483, right_input=1168, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=5081","layer":4},{"info":"number node, value=3764","layer":4},{"info":"compute binary expreesion, left_input=5081, right_input=3764, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100001111⨿≮⫘↔101000001111⨘⋶⪀)⫞⩸⩒((∨∊⋏≮⫘↔1000100001100)⫣⪄⊒(⇋↷≮⫘↔10001100111))⩺⪪((≮⫘↔10000110110101⊪)⪪(≮⫘↔100010100011⪶≀⋏≮⫘↔11100100101))⨽∌(≮⫘↔1010101101011⊮⊟↴≮⫘↔10010010000⪶≀⋏≮⫘↔1001111011001∥⊢⊲≮⫘↔111010110100)=NaN","reverse_text":"NaN=(≮⫘↔10100001111⨿≮⫘↔101000001111⨘⋶⪀)⫞⩸⩒((∨∊⋏≮⫘↔1000100001100)⫣⪄⊒(⇋↷≮⫘↔10001100111))⩺⪪((≮⫘↔10000110110101⊪)⪪(≮⫘↔100010100011⪶≀⋏≮⫘↔11100100101))⨽∌(≮⫘↔1010101101011⊮⊟↴≮⫘↔10010010000⪶≀⋏≮⫘↔1001111011001∥⊢⊲≮⫘↔111010110100)","cot":[{"info":"≮⫘↔10100001111⨿≮⫘↔101000001111=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔-100111111⨘⋶⪀=NaN","layer":2},{"info":"∨∊⋏≮⫘↔1000100001100=≮⫘↔10110010110001111","layer":3},{"info":"⇋↷≮⫘↔10001100111=≮⫘↔10001100111000","layer":3},{"info":"≮⫘↔10110010110001111⫣⪄⊒≮⫘↔10001100111000=≮⫘↔-1000110111010110","layer":2},{"info":"NaN⫞⩸⩒≮⫘↔-1000110111010110=NaN","layer":1},{"info":"≮⫘↔10000110110101⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔100010100011⪶≀⋏≮⫘↔11100100101=≮⫘↔-10100100011011","layer":3},{"info":"≮⫘↔0⪪≮⫘↔-10100100011011=≮⫘↔0","layer":2},{"info":"≮⫘↔1010101101011⊮⊟↴≮⫘↔10010010000=≮⫘↔0","layer":3},{"info":"≮⫘↔1001111011001∥⊢⊲≮⫘↔111010110100=NaN","layer":3},{"info":"≮⫘↔0⪶≀⋏NaN=NaN","layer":2},{"info":"≮⫘↔0⨽∌NaN=NaN","layer":1},{"info":"NaN⩺⪪NaN=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"($7344$⨂≜$2083$⇍⊗($1206$≭$2030$)⪨⊡($1800$≝⊿$3114$⊉≛↸$1448$≀⩗∶$1056$))⩁⩘(((↯⪼$1288$)⨎⋸⪻)≚⊃≕(⊙↵-($2654$≀⩗∶$5612$)))","expression":"(≮⫘↔1110010110000⨂≜≮⫘↔100000100011⇍⊗(≮⫘↔10010110110≭≮⫘↔11111101110)⪨⊡(≮⫘↔11100001000≝⊿≮⫘↔110000101010⊉≛↸≮⫘↔10110101000≀⩗∶≮⫘↔10000100000))⩁⩘(((↯⪼≮⫘↔10100001000)⨎⋸⪻)≚⊃≕(⊙↵-(≮⫘↔101001011110≀⩗∶≮⫘↔1010111101100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7592,"operation_count":13,"complexity_ratio":584.0,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":7344,"base":2},"right_expr":{"type":"numeric_atoms","value":2083,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1206,"base":2},"right_expr":{"type":"numeric_atoms","value":2030,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1800,"base":2},"right_expr":{"type":"numeric_atoms","value":3114,"base":2}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1448,"base":2},"right_expr":{"type":"numeric_atoms","value":1056,"base":2}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1288,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2654,"base":2},"right_expr":{"type":"numeric_atoms","value":5612,"base":2}}}}},"used_operators":["gub5Cegaqo","kuIXHzHcAH","5uvYHDjeKN","k1SHOSEABc","rxpJgHHUmx","DZ8iAZOCBD","OKKcZfAt5B","8INZBEW696","Bmrmz2XGnR","Dk5vyLCiGd","8jW3W4yZS5","oWn0xqSxBt"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","IWmyXbctLI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"≮⫘↔10011000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7344","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=7344, right_input=2083, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=2030, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"number node, value=1800","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=3114, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8561","layer":3},{"info":"number node, value=1448","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=1056, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8561, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":1},{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=274","layer":2},{"info":"number node, value=2654","layer":4},{"info":"number node, value=5612","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=5612, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=274, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=789, right_input=67, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=1216","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1110010110000⨂≜≮⫘↔100000100011⇍⊗(≮⫘↔10010110110≭≮⫘↔11111101110)⪨⊡(≮⫘↔11100001000≝⊿≮⫘↔110000101010⊉≛↸≮⫘↔10110101000≀⩗∶≮⫘↔10000100000))⩁⩘(((↯⪼≮⫘↔10100001000)⨎⋸⪻)≚⊃≕(⊙↵-(≮⫘↔101001011110≀⩗∶≮⫘↔1010111101100)))=≮⫘↔10011000000","reverse_text":"≮⫘↔10011000000=(≮⫘↔1110010110000⨂≜≮⫘↔100000100011⇍⊗(≮⫘↔10010110110≭≮⫘↔11111101110)⪨⊡(≮⫘↔11100001000≝⊿≮⫘↔110000101010⊉≛↸≮⫘↔10110101000≀⩗∶≮⫘↔10000100000))⩁⩘(((↯⪼≮⫘↔10100001000)⨎⋸⪻)≚⊃≕(⊙↵-(≮⫘↔101001011110≀⩗∶≮⫘↔1010111101100)))","cot":[{"info":"≮⫘↔1110010110000⨂≜≮⫘↔100000100011=NaN","layer":3},{"info":"≮⫘↔10010110110≭≮⫘↔11111101110=NaN","layer":3},{"info":"NaN⇍⊗NaN=NaN","layer":2},{"info":"≮⫘↔11100001000≝⊿≮⫘↔110000101010=≮⫘↔-10000101110001","layer":3},{"info":"≮⫘↔10110101000≀⩗∶≮⫘↔10000100000=≮⫘↔0","layer":3},{"info":"≮⫘↔-10000101110001⊉≛↸≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⪨⊡≮⫘↔0=≮⫘↔1100010101","layer":1},{"info":"↯⪼≮⫘↔10100001000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-10101⨎⋸⪻=≮⫘↔100010010","layer":2},{"info":"≮⫘↔101001011110≀⩗∶≮⫘↔1010111101100=≮⫘↔-110","layer":3},{"info":"⊙↵-≮⫘↔-110=≮⫘↔0","layer":2},{"info":"≮⫘↔100010010≚⊃≕≮⫘↔0=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1100010101⩁⩘≮⫘↔1000011=≮⫘↔10011000000","layer":0}]}
{"id":202,"expression_no_base_symbol":"⨞⊢($3787$⫘$1342$)≌($6516$⩨$2784$)⪪(($2367$↡⊰⫅$1976$)⩚⊴⇥(⨮↦↱$1251$))","expression":"⨞⊢(≮⫘↔111011001011⫘≮⫘↔10100111110)≌(≮⫘↔1100101110100⩨≮⫘↔101011100000)⪪((≮⫘↔100100111111↡⊰⫅≮⫘↔11110111000)⩚⊴⇥(⨮↦↱≮⫘↔10011100011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":60003,"operation_count":8,"complexity_ratio":7500.375,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3787,"base":2},"right_expr":{"type":"numeric_atoms","value":1342,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6516,"base":2},"right_expr":{"type":"numeric_atoms","value":2784,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2367,"base":2},"right_expr":{"type":"numeric_atoms","value":1976,"base":2}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1251,"base":2}}}}},"used_operators":["xUOZtlo3hN","xD69zh8xqp","lyWz822IDG","48vC8HMD2b","2DlMacCsIx","NTOWxs364D","VCtxkLNOzz","sYcpBQ0cFf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"≮⫘↔101001101101111010011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3787","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=1342, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4457917","layer":3},{"info":"number node, value=6516","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=6516, right_input=2784, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4457917, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":2},{"info":"number node, value=2367","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=2367, right_input=1976, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3952","layer":3},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-1712799","layer":3},{"info":"compute binary expreesion, left_input=3952, right_input=-1712799, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1708726","layer":2},{"info":"compute binary expreesion, left_input=9080, right_input=1708726, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1367169","layer":1},{"info":"compute unary expreesion, input=-1367169, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1366995","layer":0}],"base":2,"result_base":2,"text":"⨞⊢(≮⫘↔111011001011⫘≮⫘↔10100111110)≌(≮⫘↔1100101110100⩨≮⫘↔101011100000)⪪((≮⫘↔100100111111↡⊰⫅≮⫘↔11110111000)⩚⊴⇥(⨮↦↱≮⫘↔10011100011))=≮⫘↔101001101101111010011","reverse_text":"≮⫘↔101001101101111010011=⨞⊢(≮⫘↔111011001011⫘≮⫘↔10100111110)≌(≮⫘↔1100101110100⩨≮⫘↔101011100000)⪪((≮⫘↔100100111111↡⊰⫅≮⫘↔11110111000)⩚⊴⇥(⨮↦↱≮⫘↔10011100011))","cot":[{"info":"≮⫘↔111011001011⫘≮⫘↔10100111110=≮⫘↔10001000000010110111101","layer":3},{"info":"≮⫘↔1100101110100⩨≮⫘↔101011100000=≮⫘↔0","layer":3},{"info":"≮⫘↔10001000000010110111101≌≮⫘↔0=≮⫘↔10001101111000","layer":2},{"info":"≮⫘↔100100111111↡⊰⫅≮⫘↔11110111000=≮⫘↔111101110000","layer":3},{"info":"⨮↦↱≮⫘↔10011100011=≮⫘↔-110100010001010011111","layer":3},{"info":"≮⫘↔111101110000⩚⊴⇥≮⫘↔-110100010001010011111=≮⫘↔110100001001010110110","layer":2},{"info":"≮⫘↔10001101111000⪪≮⫘↔110100001001010110110=≮⫘↔-101001101110010000001","layer":1},{"info":"⨞⊢≮⫘↔-101001101110010000001=≮⫘↔101001101101111010011","layer":0}]}
{"id":203,"expression_no_base_symbol":"($1766$⪘⫢$2636$⇣⩺⋵($6569$⇉⇉))⨐((≘$4127$)↬($3124$≬⋮$3409$))↓($4236$↳∿⪆$1005$∇⊂⋱$9292$⨂≜$1168$⪢($2926$⊜)≦↸(∷≠$2792$))","expression":"(≮⫘↔11011100110⪘⫢≮⫘↔101001001100⇣⩺⋵(≮⫘↔1100110101001⇉⇉))⨐((≘≮⫘↔1000000011111)↬(≮⫘↔110000110100≬⋮≮⫘↔110101010001))↓(≮⫘↔1000010001100↳∿⪆≮⫘↔1111101101∇⊂⋱≮⫘↔10010001001100⨂≜≮⫘↔10010010000⪢(≮⫘↔101101101110⊜)≦↸(∷≠≮⫘↔101011101000))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27416,"operation_count":15,"complexity_ratio":1827.7333333333333,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1766,"base":2},"right_expr":{"type":"numeric_atoms","value":2636,"base":2}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":6569,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4127,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3124,"base":2},"right_expr":{"type":"numeric_atoms","value":3409,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4236,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":9292,"base":2},"right_expr":{"type":"numeric_atoms","value":1168,"base":2}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2926,"base":2}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":2792,"base":2}}}}},"used_operators":["Af076pWI7l","Noe24qw2ks","F4yD0voBRQ","oacrs7FA3X","diKm42VcIt","B5M0gjZbta","tcjXMdvYtA","kbkesczE7y","dWAJyo7jo9","nhYeJWJD5X","Cw4SuJJGHO","k1SHOSEABc","RygbFNSyEJ","Eev2Q7dYIw","QiR2Oyf5Xj"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rGHVDoGpnC","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","7j4O788W3g"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1766","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=2636, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3408","layer":3},{"info":"number node, value=6569","layer":4},{"info":"compute unary expreesion, input=6569, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-431948","layer":3},{"info":"compute binary expreesion, left_input=3408, right_input=-431948, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=4127","layer":4},{"info":"compute unary expreesion, input=4127, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=9100819","layer":3},{"info":"number node, value=3124","layer":4},{"info":"number node, value=3409","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=3409, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=9100819, right_input=868, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=520","layer":1},{"info":"number node, value=4236","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=4236, right_input=1005, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=9292","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=9292, right_input=1168, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=2926","layer":4},{"info":"compute unary expreesion, input=2926, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-9968","layer":3},{"info":"number node, value=2792","layer":4},{"info":"compute unary expreesion, input=2792, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=2792","layer":3},{"info":"compute binary expreesion, left_input=-9968, right_input=2792, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=15033","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15033, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=520, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11011100110⪘⫢≮⫘↔101001001100⇣⩺⋵(≮⫘↔1100110101001⇉⇉))⨐((≘≮⫘↔1000000011111)↬(≮⫘↔110000110100≬⋮≮⫘↔110101010001))↓(≮⫘↔1000010001100↳∿⪆≮⫘↔1111101101∇⊂⋱≮⫘↔10010001001100⨂≜≮⫘↔10010010000⪢(≮⫘↔101101101110⊜)≦↸(∷≠≮⫘↔101011101000))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=(≮⫘↔11011100110⪘⫢≮⫘↔101001001100⇣⩺⋵(≮⫘↔1100110101001⇉⇉))⨐((≘≮⫘↔1000000011111)↬(≮⫘↔110000110100≬⋮≮⫘↔110101010001))↓(≮⫘↔1000010001100↳∿⪆≮⫘↔1111101101∇⊂⋱≮⫘↔10010001001100⨂≜≮⫘↔10010010000⪢(≮⫘↔101101101110⊜)≦↸(∷≠≮⫘↔101011101000))","cot":[{"info":"≮⫘↔11011100110⪘⫢≮⫘↔101001001100=≮⫘↔110101010000","layer":3},{"info":"≮⫘↔1100110101001⇉⇉=≮⫘↔-1101001011101001100","layer":3},{"info":"≮⫘↔110101010000⇣⩺⋵≮⫘↔-1101001011101001100=≮⫘↔-100000100","layer":2},{"info":"≘≮⫘↔1000000011111=≮⫘↔100010101101111000010011","layer":3},{"info":"≮⫘↔110000110100≬⋮≮⫘↔110101010001=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔100010101101111000010011↬≮⫘↔1101100100=NaN","layer":2},{"info":"≮⫘↔-100000100⨐NaN=≮⫘↔1000001000","layer":1},{"info":"≮⫘↔1000010001100↳∿⪆≮⫘↔1111101101=NaN","layer":3},{"info":"≮⫘↔10010001001100⨂≜≮⫘↔10010010000=NaN","layer":3},{"info":"NaN∇⊂⋱NaN=NaN","layer":2},{"info":"≮⫘↔101101101110⊜=≮⫘↔-10011011110000","layer":3},{"info":"∷≠≮⫘↔101011101000=≮⫘↔101011101000","layer":3},{"info":"≮⫘↔-10011011110000≦↸≮⫘↔101011101000=≮⫘↔11101010111001","layer":2},{"info":"NaN⪢≮⫘↔11101010111001=NaN","layer":1},{"info":"≮⫘↔1000001000↓NaN=≮⫘↔-10000110","layer":0}]}
{"id":204,"expression_no_base_symbol":"((⊗($3592$∋$1460$))⊨($3230$⋳⪒$4662$⇮⋭$1310$⨚⇆$1085$))⨂≜(($3153$⇼⇔∾$3072$)⪬(↨⩢⫨$3319$)⪚(⪲⇎$3809$)⫣⪄⊒($2308$⇤$1938$))","expression":"((⊗(≮⫘↔111000001000∋≮⫘↔10110110100))⊨(≮⫘↔110010011110⋳⪒≮⫘↔1001000110110⇮⋭≮⫘↔10100011110⨚⇆≮⫘↔10000111101))⨂≜((≮⫘↔110001010001⇼⇔∾≮⫘↔110000000000)⪬(↨⩢⫨≮⫘↔110011110111)⪚(⪲⇎≮⫘↔111011100001)⫣⪄⊒(≮⫘↔100100000100⇤≮⫘↔11110010010))","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":10160,"operation_count":14,"complexity_ratio":725.7142857142857,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3592,"base":2},"right_expr":{"type":"numeric_atoms","value":1460,"base":2}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3230,"base":2},"right_expr":{"type":"numeric_atoms","value":4662,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1310,"base":2},"right_expr":{"type":"numeric_atoms","value":1085,"base":2}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3153,"base":2},"right_expr":{"type":"numeric_atoms","value":3072,"base":2}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":3319,"base":2}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3809,"base":2}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2308,"base":2},"right_expr":{"type":"numeric_atoms","value":1938,"base":2}}}}},"used_operators":["k1SHOSEABc","vg4gO5BX6G","RhiyfpczSx","ukq6epAj5P","vkpjKywKVM","12rbrZMWeM","lwHaAYXP2r","HrjLwUk87U","Ez1Nq5fNfI","tifHPKVTfV","Z5CJsN7DuW","RabNbG55vr","XPYlsWDdGa","YSKBFp38Pu"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3592","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=3592, right_input=1460, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3158232","layer":3},{"info":"compute unary expreesion, input=3158232, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6316464","layer":2},{"info":"number node, value=3230","layer":4},{"info":"number node, value=4662","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=4662, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1511","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=1085, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1511, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6316464, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"number node, value=3153","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=3153, right_input=3072, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-81","layer":3},{"info":"number node, value=3319","layer":4},{"info":"compute unary expreesion, input=3319, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-81, right_input=0, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=3809","layer":4},{"info":"compute unary expreesion, input=3809, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7618","layer":3},{"info":"number node, value=2308","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=1938, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-18382","layer":3},{"info":"compute binary expreesion, left_input=7618, right_input=-18382, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1792","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1792, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊗(≮⫘↔111000001000∋≮⫘↔10110110100))⊨(≮⫘↔110010011110⋳⪒≮⫘↔1001000110110⇮⋭≮⫘↔10100011110⨚⇆≮⫘↔10000111101))⨂≜((≮⫘↔110001010001⇼⇔∾≮⫘↔110000000000)⪬(↨⩢⫨≮⫘↔110011110111)⪚(⪲⇎≮⫘↔111011100001)⫣⪄⊒(≮⫘↔100100000100⇤≮⫘↔11110010010))=NaN","reverse_text":"NaN=((⊗(≮⫘↔111000001000∋≮⫘↔10110110100))⊨(≮⫘↔110010011110⋳⪒≮⫘↔1001000110110⇮⋭≮⫘↔10100011110⨚⇆≮⫘↔10000111101))⨂≜((≮⫘↔110001010001⇼⇔∾≮⫘↔110000000000)⪬(↨⩢⫨≮⫘↔110011110111)⪚(⪲⇎≮⫘↔111011100001)⫣⪄⊒(≮⫘↔100100000100⇤≮⫘↔11110010010))","cot":[{"info":"≮⫘↔111000001000∋≮⫘↔10110110100=≮⫘↔1100000011000011011000","layer":3},{"info":"⊗≮⫘↔1100000011000011011000=≮⫘↔-11000000110000110110000","layer":2},{"info":"≮⫘↔110010011110⋳⪒≮⫘↔1001000110110=≮⫘↔10111100111","layer":3},{"info":"≮⫘↔10100011110⨚⇆≮⫘↔10000111101=NaN","layer":3},{"info":"≮⫘↔10111100111⇮⋭NaN=NaN","layer":2},{"info":"≮⫘↔-11000000110000110110000⊨NaN=NaN","layer":1},{"info":"≮⫘↔110001010001⇼⇔∾≮⫘↔110000000000=≮⫘↔-1010001","layer":3},{"info":"↨⩢⫨≮⫘↔110011110111=≮⫘↔0","layer":3},{"info":"≮⫘↔-1010001⪬≮⫘↔0=≮⫘↔10011010010","layer":2},{"info":"⪲⇎≮⫘↔111011100001=≮⫘↔1110111000010","layer":3},{"info":"≮⫘↔100100000100⇤≮⫘↔11110010010=≮⫘↔-100011111001110","layer":3},{"info":"≮⫘↔1110111000010⫣⪄⊒≮⫘↔-100011111001110=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10011010010⪚≮⫘↔10100000=≮⫘↔11100000000","layer":1},{"info":"NaN⨂≜≮⫘↔11100000000=NaN","layer":0}]}
{"id":205,"expression_no_base_symbol":"(($1257$⪮%⊝$2453$⋾⨃∁($3861$≬⇓$1726$))⪃⊛⇣(($5401$⫠↝⫳)⫸⊐$2448$⫞⩸⩒$1101$))⪬(($3433$↪⪝)⊲⩕⊾(⨮↦↱$8261$)⪶≀⋏$6992$⋣⋖$3332$∌↝$6872$≚⊃≕$3790$)","expression":"((≮⫘↔10011101001⪮%⊝≮⫘↔100110010101⋾⨃∁(≮⫘↔111100010101≬⇓≮⫘↔11010111110))⪃⊛⇣((≮⫘↔1010100011001⫠↝⫳)⫸⊐≮⫘↔100110010000⫞⩸⩒≮⫘↔10001001101))⪬((≮⫘↔110101101001↪⪝)⊲⩕⊾(⨮↦↱≮⫘↔10000001000101)⪶≀⋏≮⫘↔1101101010000⋣⋖≮⫘↔110100000100∌↝≮⫘↔1101011011000≚⊃≕≮⫘↔111011001110)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9855,"operation_count":15,"complexity_ratio":657.0,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1257,"base":2},"right_expr":{"type":"numeric_atoms","value":2453,"base":2}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3861,"base":2},"right_expr":{"type":"numeric_atoms","value":1726,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":5401,"base":2}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2448,"base":2},"right_expr":{"type":"numeric_atoms","value":1101,"base":2}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3433,"base":2}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":8261,"base":2}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6992,"base":2},"right_expr":{"type":"numeric_atoms","value":3332,"base":2}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":6872,"base":2},"right_expr":{"type":"numeric_atoms","value":3790,"base":2}}}}},"used_operators":["Ez1Nq5fNfI","rrgAzCduG9","212REbPD9h","IWmyXbctLI","jWTQ2TZYIH","mqXw5SEYmG","8n5YIzOsVS","XGcMNugi78","zR4jO40bMj","DmTXOeWf9t","l07mrZUIn9","sYcpBQ0cFf","9Isq31Ruls","J0M6qkBnIM","Bmrmz2XGnR"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1257","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=2453, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2830","layer":3},{"info":"number node, value=3861","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=1726, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=2830, right_input=-22, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=5010","layer":2},{"info":"number node, value=5401","layer":4},{"info":"compute unary expreesion, input=5401, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=173455","layer":3},{"info":"number node, value=2448","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=1101, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1101","layer":3},{"info":"compute binary expreesion, left_input=173455, right_input=1101, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4279","layer":2},{"info":"compute binary expreesion, left_input=5010, right_input=4279, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=3433","layer":4},{"info":"compute unary expreesion, input=3433, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=210037806","layer":3},{"info":"number node, value=8261","layer":4},{"info":"compute unary expreesion, input=8261, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-181098699","layer":3},{"info":"compute binary expreesion, left_input=210037806, right_input=-181098699, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=261377614","layer":2},{"info":"number node, value=6992","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=6992, right_input=3332, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6992","layer":3},{"info":"number node, value=6872","layer":4},{"info":"number node, value=3790","layer":4},{"info":"compute binary expreesion, left_input=6872, right_input=3790, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=6992, right_input=67, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=261377614, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-784133074","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-784133074, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011101001⪮%⊝≮⫘↔100110010101⋾⨃∁(≮⫘↔111100010101≬⇓≮⫘↔11010111110))⪃⊛⇣((≮⫘↔1010100011001⫠↝⫳)⫸⊐≮⫘↔100110010000⫞⩸⩒≮⫘↔10001001101))⪬((≮⫘↔110101101001↪⪝)⊲⩕⊾(⨮↦↱≮⫘↔10000001000101)⪶≀⋏≮⫘↔1101101010000⋣⋖≮⫘↔110100000100∌↝≮⫘↔1101011011000≚⊃≕≮⫘↔111011001110)=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((≮⫘↔10011101001⪮%⊝≮⫘↔100110010101⋾⨃∁(≮⫘↔111100010101≬⇓≮⫘↔11010111110))⪃⊛⇣((≮⫘↔1010100011001⫠↝⫳)⫸⊐≮⫘↔100110010000⫞⩸⩒≮⫘↔10001001101))⪬((≮⫘↔110101101001↪⪝)⊲⩕⊾(⨮↦↱≮⫘↔10000001000101)⪶≀⋏≮⫘↔1101101010000⋣⋖≮⫘↔110100000100∌↝≮⫘↔1101011011000≚⊃≕≮⫘↔111011001110)","cot":[{"info":"≮⫘↔10011101001⪮%⊝≮⫘↔100110010101=≮⫘↔101100001110","layer":3},{"info":"≮⫘↔111100010101≬⇓≮⫘↔11010111110=≮⫘↔-10110","layer":3},{"info":"≮⫘↔101100001110⋾⨃∁≮⫘↔-10110=≮⫘↔1001110010010","layer":2},{"info":"≮⫘↔1010100011001⫠↝⫳=≮⫘↔101010010110001111","layer":3},{"info":"≮⫘↔100110010000⫞⩸⩒≮⫘↔10001001101=≮⫘↔10001001101","layer":3},{"info":"≮⫘↔101010010110001111⫸⊐≮⫘↔10001001101=≮⫘↔1000010110111","layer":2},{"info":"≮⫘↔1001110010010⪃⊛⇣≮⫘↔1000010110111=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔110101101001↪⪝=≮⫘↔1100100001001110110000101110","layer":3},{"info":"⨮↦↱≮⫘↔10000001000101=≮⫘↔-1010110010110101100011001011","layer":3},{"info":"≮⫘↔1100100001001110110000101110⊲⩕⊾≮⫘↔-1010110010110101100011001011=≮⫘↔1111100101000100111001001110","layer":2},{"info":"≮⫘↔1101101010000⋣⋖≮⫘↔110100000100=≮⫘↔1101101010000","layer":3},{"info":"≮⫘↔1101011011000≚⊃≕≮⫘↔111011001110=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1101101010000∌↝≮⫘↔1000011=≮⫘↔0","layer":2},{"info":"≮⫘↔1111100101000100111001001110⪶≀⋏≮⫘↔0=≮⫘↔-101110101111001110101111010010","layer":1},{"info":"≮⫘↔10011010010⪬≮⫘↔-101110101111001110101111010010=≮⫘↔10011010010","layer":0}]}
{"id":206,"expression_no_base_symbol":"((($5047$≠≀$3984$)⋛(⋗⩴⪓$7846$))⇔⨋)⋾⨃∁(⫟$2131$≹⇙⪍$2284$)≄⊠($1205$⫌⩉⩟$2350$)↞⋁(⊬↢$4135$)","expression":"(((≮⫘↔1001110110111≠≀≮⫘↔111110010000)⋛(⋗⩴⪓≮⫘↔1111010100110))⇔⨋)⋾⨃∁(⫟≮⫘↔100001010011≹⇙⪍≮⫘↔100011101100)≄⊠(≮⫘↔10010110101⫌⩉⩟≮⫘↔100100101110)↞⋁(⊬↢≮⫘↔1000000100111)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26004,"operation_count":11,"complexity_ratio":2364.0,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5047,"base":2},"right_expr":{"type":"numeric_atoms","value":3984,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":7846,"base":2}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2131,"base":2},"right_expr":{"type":"numeric_atoms","value":2284,"base":2}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1205,"base":2},"right_expr":{"type":"numeric_atoms","value":2350,"base":2}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4135,"base":2}}}}},"used_operators":["212REbPD9h","uBihLCJcMX","YbUVn0Rbpy","IwW236VD4Y","nOKPl9n5zu","vXNesLlMH1","z4E1FaHLuy","AHs5Up7iyr","RqrPlJkxDo","XIIwhv8d0m","WPoGxAaPR1"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"≮⫘↔1010101110000101111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5047","layer":4},{"info":"number node, value=3984","layer":4},{"info":"compute binary expreesion, left_input=5047, right_input=3984, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9788","layer":3},{"info":"number node, value=7846","layer":4},{"info":"compute unary expreesion, input=7846, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-6933","layer":3},{"info":"compute binary expreesion, left_input=-9788, right_input=-6933, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-20154","layer":2},{"info":"compute unary expreesion, input=-20154, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":1},{"info":"number node, value=2131","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=2284, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":2},{"info":"number node, value=1205","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=2350, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=4135","layer":4},{"info":"compute unary expreesion, input=4135, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=218, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=287, right_input=1500, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=22481906","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1001110110111≠≀≮⫘↔111110010000)⋛(⋗⩴⪓≮⫘↔1111010100110))⇔⨋)⋾⨃∁(⫟≮⫘↔100001010011≹⇙⪍≮⫘↔100011101100)≄⊠(≮⫘↔10010110101⫌⩉⩟≮⫘↔100100101110)↞⋁(⊬↢≮⫘↔1000000100111)=≮⫘↔1010101110000101111110010","reverse_text":"≮⫘↔1010101110000101111110010=(((≮⫘↔1001110110111≠≀≮⫘↔111110010000)⋛(⋗⩴⪓≮⫘↔1111010100110))⇔⨋)⋾⨃∁(⫟≮⫘↔100001010011≹⇙⪍≮⫘↔100011101100)≄⊠(≮⫘↔10010110101⫌⩉⩟≮⫘↔100100101110)↞⋁(⊬↢≮⫘↔1000000100111)","cot":[{"info":"≮⫘↔1001110110111≠≀≮⫘↔111110010000=≮⫘↔-10011000111100","layer":3},{"info":"⋗⩴⪓≮⫘↔1111010100110=≮⫘↔-1101100010101","layer":3},{"info":"≮⫘↔-10011000111100⋛≮⫘↔-1101100010101=≮⫘↔-100111010111010","layer":2},{"info":"≮⫘↔-100111010111010⇔⨋=≮⫘↔100011111","layer":1},{"info":"≮⫘↔100001010011≹⇙⪍≮⫘↔100011101100=NaN","layer":3},{"info":"⫟NaN=NaN","layer":2},{"info":"≮⫘↔10010110101⫌⩉⩟≮⫘↔100100101110=≮⫘↔-110010","layer":3},{"info":"⊬↢≮⫘↔1000000100111=≮⫘↔11011010","layer":3},{"info":"≮⫘↔-110010↞⋁≮⫘↔11011010=NaN","layer":2},{"info":"NaN≄⊠NaN=≮⫘↔10111011100","layer":1},{"info":"≮⫘↔100011111⋾⨃∁≮⫘↔10111011100=≮⫘↔1010101110000101111110010","layer":0}]}
{"id":207,"expression_no_base_symbol":"($1768$≹⇙⪍$2949$⨰(⊵⊁$6750$))∴(($1364$⊾⪯⋞$3237$)⪔⊥($4401$⩵∡$1381$))⊍⩺⋍((⋎⨆$6266$)⪨⊡($1751$≎⊠⪸$4695$))⩦($2037$⪉⨛$1909$↸(⫓⪴$1599$))","expression":"(≮⫘↔11011101000≹⇙⪍≮⫘↔101110000101⨰(⊵⊁≮⫘↔1101001011110))∴((≮⫘↔10101010100⊾⪯⋞≮⫘↔110010100101)⪔⊥(≮⫘↔1000100110001⩵∡≮⫘↔10101100101))⊍⩺⋍((⋎⨆≮⫘↔1100001111010)⪨⊡(≮⫘↔11011010111≎⊠⪸≮⫘↔1001001010111))⩦(≮⫘↔11111110101⪉⨛≮⫘↔11101110101↸(⫓⪴≮⫘↔11000111111))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6691,"operation_count":15,"complexity_ratio":446.06666666666666,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1768,"base":2},"right_expr":{"type":"numeric_atoms","value":2949,"base":2}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":6750,"base":2}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1364,"base":2},"right_expr":{"type":"numeric_atoms","value":3237,"base":2}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4401,"base":2},"right_expr":{"type":"numeric_atoms","value":1381,"base":2}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":6266,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1751,"base":2},"right_expr":{"type":"numeric_atoms","value":4695,"base":2}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2037,"base":2},"right_expr":{"type":"numeric_atoms","value":1909,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1599,"base":2}}}}},"used_operators":["OXDGMFPWZM","hrf7POJlIJ","eewbuw0ToL","AHs5Up7iyr","AvED76WdY7","HJ9erzHUuu","HK0tfVPux8","Y7wcNGrDQJ","0kmYd0q39Y","kuIXHzHcAH","E64sFOc4tB","bJkvcejdHO","1eCjFl0mb9","EWw2JM7wp4","eLxqMNBOBk"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","glklzrTFfD","tifHPKVTfV","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1768","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=2949, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6750","layer":4},{"info":"compute unary expreesion, input=6750, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=39430","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=39430, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1364","layer":4},{"info":"number node, value=3237","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=3237, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6048","layer":3},{"info":"number node, value=4401","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=4401, right_input=1381, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-7542","layer":3},{"info":"compute binary expreesion, left_input=6048, right_input=-7542, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-5249","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5249, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"number node, value=6266","layer":4},{"info":"compute unary expreesion, input=6266, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=4695","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=4695, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=453036","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=453036, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2037","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=1909, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4417","layer":3},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2556801","layer":3},{"info":"compute binary expreesion, left_input=4417, right_input=2556801, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4417","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4417, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11011101000≹⇙⪍≮⫘↔101110000101⨰(⊵⊁≮⫘↔1101001011110))∴((≮⫘↔10101010100⊾⪯⋞≮⫘↔110010100101)⪔⊥(≮⫘↔1000100110001⩵∡≮⫘↔10101100101))⊍⩺⋍((⋎⨆≮⫘↔1100001111010)⪨⊡(≮⫘↔11011010111≎⊠⪸≮⫘↔1001001010111))⩦(≮⫘↔11111110101⪉⨛≮⫘↔11101110101↸(⫓⪴≮⫘↔11000111111))=NaN","reverse_text":"NaN=(≮⫘↔11011101000≹⇙⪍≮⫘↔101110000101⨰(⊵⊁≮⫘↔1101001011110))∴((≮⫘↔10101010100⊾⪯⋞≮⫘↔110010100101)⪔⊥(≮⫘↔1000100110001⩵∡≮⫘↔10101100101))⊍⩺⋍((⋎⨆≮⫘↔1100001111010)⪨⊡(≮⫘↔11011010111≎⊠⪸≮⫘↔1001001010111))⩦(≮⫘↔11111110101⪉⨛≮⫘↔11101110101↸(⫓⪴≮⫘↔11000111111))","cot":[{"info":"≮⫘↔11011101000≹⇙⪍≮⫘↔101110000101=NaN","layer":3},{"info":"⊵⊁≮⫘↔1101001011110=≮⫘↔1001101000000110","layer":3},{"info":"NaN⨰≮⫘↔1001101000000110=NaN","layer":2},{"info":"≮⫘↔10101010100⊾⪯⋞≮⫘↔110010100101=≮⫘↔1011110100000","layer":3},{"info":"≮⫘↔1000100110001⩵∡≮⫘↔10101100101=≮⫘↔-1110101110110","layer":3},{"info":"≮⫘↔1011110100000⪔⊥≮⫘↔-1110101110110=≮⫘↔-1010010000001","layer":2},{"info":"NaN∴≮⫘↔-1010010000001=NaN","layer":1},{"info":"⋎⨆≮⫘↔1100001111010=≮⫘↔0","layer":3},{"info":"≮⫘↔11011010111≎⊠⪸≮⫘↔1001001010111=≮⫘↔1101110100110101100","layer":3},{"info":"≮⫘↔0⪨⊡≮⫘↔1101110100110101100=≮⫘↔0","layer":2},{"info":"≮⫘↔11111110101⪉⨛≮⫘↔11101110101=≮⫘↔1000101000001","layer":3},{"info":"⫓⪴≮⫘↔11000111111=≮⫘↔1001110000001110000001","layer":3},{"info":"≮⫘↔1000101000001↸≮⫘↔1001110000001110000001=≮⫘↔1000101000001","layer":2},{"info":"≮⫘↔0⩦≮⫘↔1000101000001=≮⫘↔0","layer":1},{"info":"NaN⊍⩺⋍≮⫘↔0=NaN","layer":0}]}
{"id":208,"expression_no_base_symbol":"↩(⇐(($1738$+$1102$)⋭≵$1441$⪛$1918$))","expression":"↩(⇐((≮⫘↔11011001010+≮⫘↔10001001110)⋭≵≮⫘↔10110100001⪛≮⫘↔11101111110))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":124,"operation_count":5,"complexity_ratio":24.8,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1738,"base":2},"right_expr":{"type":"numeric_atoms","value":1102,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1441,"base":2},"right_expr":{"type":"numeric_atoms","value":1918,"base":2}}}}},"used_operators":["jLgFTUHLKL","nmZMaaE0Q9","jBncVCNhdl","W4YGzv6Whe","uFcxV4UQCh"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≮⫘↔1101011111100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1738","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=1102, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2840","layer":3},{"info":"number node, value=1441","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=1918, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1441","layer":3},{"info":"compute binary expreesion, left_input=2840, right_input=1441, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1072","layer":1},{"info":"compute unary expreesion, input=-1072, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=6908","layer":0}],"base":2,"result_base":2,"text":"↩(⇐((≮⫘↔11011001010+≮⫘↔10001001110)⋭≵≮⫘↔10110100001⪛≮⫘↔11101111110))=≮⫘↔1101011111100","reverse_text":"≮⫘↔1101011111100=↩(⇐((≮⫘↔11011001010+≮⫘↔10001001110)⋭≵≮⫘↔10110100001⪛≮⫘↔11101111110))","cot":[{"info":"≮⫘↔11011001010+≮⫘↔10001001110=≮⫘↔101100011000","layer":3},{"info":"≮⫘↔10110100001⪛≮⫘↔11101111110=≮⫘↔10110100001","layer":3},{"info":"≮⫘↔101100011000⋭≵≮⫘↔10110100001=≮⫘↔1000011","layer":2},{"info":"⇐≮⫘↔1000011=≮⫘↔-10000110000","layer":1},{"info":"↩≮⫘↔-10000110000=≮⫘↔1101011111100","layer":0}]}
{"id":209,"expression_no_base_symbol":"((⇨($6153$⇮⋭$1105$))∖((⨴⫝$7951$)⪑⩈))↳≱((($6757$*$3433$)→⨶⪴($1168$∝$1166$))⪷)","expression":"((⇨(≮⫘↔1100000001001⇮⋭≮⫘↔10001010001))∖((⨴⫝≮⫘↔1111100001111)⪑⩈))↳≱(((≮⫘↔1101001100101*≮⫘↔110101101001)→⨶⪴(≮⫘↔10010010000∝≮⫘↔10010001110))⪷)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1561976,"operation_count":10,"complexity_ratio":156197.6,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":6153,"base":2},"right_expr":{"type":"numeric_atoms","value":1105,"base":2}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":7951,"base":2}}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6757,"base":2},"right_expr":{"type":"numeric_atoms","value":3433,"base":2}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1168,"base":2},"right_expr":{"type":"numeric_atoms","value":1166,"base":2}}}}},"used_operators":["JwTKLfZU96","tXD093vOjl","G9tJMlZ94a","vkpjKywKVM","C6VvDP6HwP","SVb2v531z1","Qctrpi3WzA","bF6eod5Gvf","9HNa5Wba9A","cTDWOvIxvz"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","k8jYdgA6NY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","Nsiff2A1zJ","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6153","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=6153, right_input=1105, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=7951","layer":4},{"info":"compute unary expreesion, input=7951, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute unary expreesion, input=2828198, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=19798976","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19798976, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=6757","layer":4},{"info":"number node, value=3433","layer":4},{"info":"compute binary expreesion, left_input=6757, right_input=3433, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23196781","layer":3},{"info":"number node, value=1168","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1166, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1173","layer":3},{"info":"compute binary expreesion, left_input=23196781, right_input=1173, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3519","layer":2},{"info":"compute unary expreesion, input=-3519, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((⇨(≮⫘↔1100000001001⇮⋭≮⫘↔10001010001))∖((⨴⫝≮⫘↔1111100001111)⪑⩈))↳≱(((≮⫘↔1101001100101*≮⫘↔110101101001)→⨶⪴(≮⫘↔10010010000∝≮⫘↔10010001110))⪷)=≮⫘↔0","reverse_text":"≮⫘↔0=((⇨(≮⫘↔1100000001001⇮⋭≮⫘↔10001010001))∖((⨴⫝≮⫘↔1111100001111)⪑⩈))↳≱(((≮⫘↔1101001100101*≮⫘↔110101101001)→⨶⪴(≮⫘↔10010010000∝≮⫘↔10010001110))⪷)","cot":[{"info":"≮⫘↔1100000001001⇮⋭≮⫘↔10001010001=≮⫘↔-111011001","layer":3},{"info":"⇨≮⫘↔-111011001=≮⫘↔0","layer":2},{"info":"⨴⫝≮⫘↔1111100001111=≮⫘↔1010110010011110100110","layer":3},{"info":"≮⫘↔1010110010011110100110⪑⩈=≮⫘↔1001011100001101111000000","layer":2},{"info":"≮⫘↔0∖≮⫘↔1001011100001101111000000=≮⫘↔0","layer":1},{"info":"≮⫘↔1101001100101*≮⫘↔110101101001=≮⫘↔1011000011111010001101101","layer":3},{"info":"≮⫘↔10010010000∝≮⫘↔10010001110=≮⫘↔10010010101","layer":3},{"info":"≮⫘↔1011000011111010001101101→⨶⪴≮⫘↔10010010101=≮⫘↔-110110111111","layer":2},{"info":"≮⫘↔-110110111111⪷=NaN","layer":1},{"info":"≮⫘↔0↳≱NaN=≮⫘↔0","layer":0}]}
{"id":210,"expression_no_base_symbol":"((≦∁$1038$)≧⫂∧($2153$⪇≇⋚$3538$))⪟⇏(⨑⩽⪐$5923$⨟⋌⩍$4865$)⊱⇼⊻($1800$≦↸$2856$⪛⫼$1079$⇴$5414$)⊱⇼⊻(⊁⨺(⪨⨬$1269$))","expression":"((≦∁≮⫘↔10000001110)≧⫂∧(≮⫘↔100001101001⪇≇⋚≮⫘↔110111010010))⪟⇏(⨑⩽⪐≮⫘↔1011100100011⨟⋌⩍≮⫘↔1001100000001)⊱⇼⊻(≮⫘↔11100001000≦↸≮⫘↔101100101000⪛⫼≮⫘↔10000110111⇴≮⫘↔1010100100110)⊱⇼⊻(⊁⨺(⪨⨬≮⫘↔10011110101))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":389,"operation_count":13,"complexity_ratio":29.923076923076923,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1038,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2153,"base":2},"right_expr":{"type":"numeric_atoms","value":3538,"base":2}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5923,"base":2},"right_expr":{"type":"numeric_atoms","value":4865,"base":2}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1800,"base":2},"right_expr":{"type":"numeric_atoms","value":2856,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1079,"base":2},"right_expr":{"type":"numeric_atoms","value":5414,"base":2}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1269,"base":2}}}}},"used_operators":["FyVja0WsTP","GODebY97qR","Ph9nP6C5qx","9ICcGScMcE","3sJ7IOPOlU","AF7qkfDlqP","rGHVDoGpnC","hyuBjUqXlG","RygbFNSyEJ","4JB6nKBMSY","PxiHyQbrIp","5obUd6DV38"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","T2fj7uvVaJ","nlCqmYiOvY"],"result":"≮⫘↔11001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1038","layer":3},{"info":"number node, value=2153","layer":4},{"info":"number node, value=3538","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=3538, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1038, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"number node, value=5923","layer":4},{"info":"number node, value=4865","layer":4},{"info":"compute binary expreesion, left_input=5923, right_input=4865, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=1800","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=2856, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8631","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=5414, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16916","layer":3},{"info":"compute binary expreesion, left_input=-8631, right_input=16916, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=1269","layer":4},{"info":"compute unary expreesion, input=1269, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-2899","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-2899, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=6674","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6674, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":0}],"base":2,"result_base":2,"text":"((≦∁≮⫘↔10000001110)≧⫂∧(≮⫘↔100001101001⪇≇⋚≮⫘↔110111010010))⪟⇏(⨑⩽⪐≮⫘↔1011100100011⨟⋌⩍≮⫘↔1001100000001)⊱⇼⊻(≮⫘↔11100001000≦↸≮⫘↔101100101000⪛⫼≮⫘↔10000110111⇴≮⫘↔1010100100110)⊱⇼⊻(⊁⨺(⪨⨬≮⫘↔10011110101))=≮⫘↔11001100","reverse_text":"≮⫘↔11001100=((≦∁≮⫘↔10000001110)≧⫂∧(≮⫘↔100001101001⪇≇⋚≮⫘↔110111010010))⪟⇏(⨑⩽⪐≮⫘↔1011100100011⨟⋌⩍≮⫘↔1001100000001)⊱⇼⊻(≮⫘↔11100001000≦↸≮⫘↔101100101000⪛⫼≮⫘↔10000110111⇴≮⫘↔1010100100110)⊱⇼⊻(⊁⨺(⪨⨬≮⫘↔10011110101))","cot":[{"info":"≦∁≮⫘↔10000001110=≮⫘↔10000001110","layer":3},{"info":"≮⫘↔100001101001⪇≇⋚≮⫘↔110111010010=≮⫘↔0","layer":3},{"info":"≮⫘↔10000001110≧⫂∧≮⫘↔0=≮⫘↔-111011001","layer":2},{"info":"≮⫘↔1011100100011⨟⋌⩍≮⫘↔1001100000001=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"≮⫘↔-111011001⪟⇏NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔11100001000≦↸≮⫘↔101100101000=≮⫘↔-10000110110111","layer":3},{"info":"≮⫘↔10000110111⇴≮⫘↔1010100100110=≮⫘↔100001000010100","layer":3},{"info":"≮⫘↔-10000110110111⪛⫼≮⫘↔100001000010100=≮⫘↔1111001000","layer":2},{"info":"⪨⨬≮⫘↔10011110101=≮⫘↔-1000001110","layer":3},{"info":"⊁⨺≮⫘↔-1000001110=≮⫘↔-101101010011","layer":2},{"info":"≮⫘↔1111001000⊱⇼⊻≮⫘↔-101101010011=≮⫘↔1101000010010","layer":1},{"info":"≮⫘↔0⊱⇼⊻≮⫘↔1101000010010=≮⫘↔11001100","layer":0}]}
{"id":211,"expression_no_base_symbol":"(⩦⩻⨪($2952$⩏)∥⊢⊲($7865$⪨≂$1422$))⋫","expression":"(⩦⩻⨪(≮⫘↔101110001000⩏)∥⊢⊲(≮⫘↔1111010111001⪨≂≮⫘↔10110001110))⋫","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":559,"operation_count":5,"complexity_ratio":111.8,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":2952,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7865,"base":2},"right_expr":{"type":"numeric_atoms","value":1422,"base":2}}}}},"used_operators":["JL8yIekQnl","2td37pGCOC","v1UQAVDJRr","iA2gmKZ3Wj","sdazOOVcIp"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","z6LnFrNh4i","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":4},{"info":"compute unary expreesion, input=2952, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=7865","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=7865, right_input=1422, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=12988","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12988, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩦⩻⨪(≮⫘↔101110001000⩏)∥⊢⊲(≮⫘↔1111010111001⪨≂≮⫘↔10110001110))⋫=NaN","reverse_text":"NaN=(⩦⩻⨪(≮⫘↔101110001000⩏)∥⊢⊲(≮⫘↔1111010111001⪨≂≮⫘↔10110001110))⋫","cot":[{"info":"≮⫘↔101110001000⩏=≮⫘↔0","layer":3},{"info":"≮⫘↔1111010111001⪨≂≮⫘↔10110001110=≮⫘↔11001010111100","layer":3},{"info":"≮⫘↔0∥⊢⊲≮⫘↔11001010111100=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"($7667$⨿$1587$)⇂≾⫗($3794$⋝⋈⪟$4190$)⨐($5224$⫌⩉⩟$1128$∕⩚$1534$⩇∃⫛$2120$)⫻⋑⊟","expression":"(≮⫘↔1110111110011⨿≮⫘↔11000110011)⇂≾⫗(≮⫘↔111011010010⋝⋈⪟≮⫘↔1000001011110)⨐(≮⫘↔1010001101000⫌⩉⩟≮⫘↔10001101000∕⩚≮⫘↔10111111110⩇∃⫛≮⫘↔100001001000)⫻⋑⊟","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7054,"operation_count":8,"complexity_ratio":881.75,"tree":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":7667,"base":2},"right_expr":{"type":"numeric_atoms","value":1587,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3794,"base":2},"right_expr":{"type":"numeric_atoms","value":4190,"base":2}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5224,"base":2},"right_expr":{"type":"numeric_atoms","value":1128,"base":2}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1534,"base":2},"right_expr":{"type":"numeric_atoms","value":2120,"base":2}}}}},"used_operators":["o575Zjdmzy","Noe24qw2ks","aBQ6xLxuTc","abYXlopdE0","2DDjHMKMc0","z9ffQ9n5Zr","XIIwhv8d0m","1aApVXNlOP"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"≮⫘↔-100010010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7667","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=7667, right_input=1587, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3794","layer":4},{"info":"number node, value=4190","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=4190, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3794","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=3794, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=5224","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=5224, right_input=1128, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=2120, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=1059","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=1059, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=47","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=47, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=1352","layer":1},{"info":"compute unary expreesion, input=1352, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2194","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1110111110011⨿≮⫘↔11000110011)⇂≾⫗(≮⫘↔111011010010⋝⋈⪟≮⫘↔1000001011110)⨐(≮⫘↔1010001101000⫌⩉⩟≮⫘↔10001101000∕⩚≮⫘↔10111111110⩇∃⫛≮⫘↔100001001000)⫻⋑⊟=≮⫘↔-100010010010","reverse_text":"≮⫘↔-100010010010=(≮⫘↔1110111110011⨿≮⫘↔11000110011)⇂≾⫗(≮⫘↔111011010010⋝⋈⪟≮⫘↔1000001011110)⨐(≮⫘↔1010001101000⫌⩉⩟≮⫘↔10001101000∕⩚≮⫘↔10111111110⩇∃⫛≮⫘↔100001001000)⫻⋑⊟","cot":[{"info":"≮⫘↔1110111110011⨿≮⫘↔11000110011=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔111011010010⋝⋈⪟≮⫘↔1000001011110=≮⫘↔111011010010","layer":3},{"info":"≮⫘↔-100111111⇂≾⫗≮⫘↔111011010010=≮⫘↔-1010100100","layer":2},{"info":"≮⫘↔1010001101000⫌⩉⩟≮⫘↔10001101000=≮⫘↔-110010","layer":3},{"info":"≮⫘↔10111111110⩇∃⫛≮⫘↔100001001000=≮⫘↔10000100011","layer":3},{"info":"≮⫘↔-110010∕⩚≮⫘↔10000100011=≮⫘↔101111","layer":2},{"info":"≮⫘↔-1010100100⨐≮⫘↔101111=≮⫘↔10101001000","layer":1},{"info":"≮⫘↔10101001000⫻⋑⊟=≮⫘↔-100010010010","layer":0}]}
{"id":213,"expression_no_base_symbol":"(($2846$≨$1147$∕⩚$6607$≎⪠$4809$)⪡($1007$⋩≍≻)⨓$1053$⊕∕$2696$)⨸((⪓⩚(⇐$1706$))≀⫉((⩰$6256$)⇔⨋))","expression":"((≮⫘↔101100011110≨≮⫘↔10001111011∕⩚≮⫘↔1100111001111≎⪠≮⫘↔1001011001001)⪡(≮⫘↔1111101111⋩≍≻)⨓≮⫘↔10000011101⊕∕≮⫘↔101010001000)⨸((⪓⩚(⇐≮⫘↔11010101010))≀⫉((⩰≮⫘↔1100001110000)⇔⨋))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":50891,"operation_count":13,"complexity_ratio":3914.6923076923076,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2846,"base":2},"right_expr":{"type":"numeric_atoms","value":1147,"base":2}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":6607,"base":2},"right_expr":{"type":"numeric_atoms","value":4809,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1007,"base":2}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1053,"base":2},"right_expr":{"type":"numeric_atoms","value":2696,"base":2}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1706,"base":2}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":6256,"base":2}}}}},"used_operators":["KmoU8R5UQR","oraRL2iQuh","z9ffQ9n5Zr","0KMCeP1Jsh","aNhz54LH3e","3ViojmjbAp","WYd1w68Nbz","9cloC0Ngie","oZj3VtZNQx","u0R0Locfp2","nmZMaaE0Q9","uBihLCJcMX","WkeUrDK8WX"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"≮⫘↔11101101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2846","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=2846, right_input=1147, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-25984","layer":3},{"info":"number node, value=6607","layer":4},{"info":"number node, value=4809","layer":4},{"info":"compute binary expreesion, left_input=6607, right_input=4809, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-25984, right_input=19558, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=25981","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=2696, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1053","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=1053, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1056","layer":2},{"info":"compute binary expreesion, left_input=25981, right_input=-1056, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-951","layer":1},{"info":"number node, value=1706","layer":4},{"info":"compute unary expreesion, input=1706, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2418","layer":3},{"info":"compute unary expreesion, input=2418, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=6256","layer":4},{"info":"compute unary expreesion, input=6256, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-7256","layer":3},{"info":"compute unary expreesion, input=-7256, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=287, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=-951, right_input=2822, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1902","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101100011110≨≮⫘↔10001111011∕⩚≮⫘↔1100111001111≎⪠≮⫘↔1001011001001)⪡(≮⫘↔1111101111⋩≍≻)⨓≮⫘↔10000011101⊕∕≮⫘↔101010001000)⨸((⪓⩚(⇐≮⫘↔11010101010))≀⫉((⩰≮⫘↔1100001110000)⇔⨋))=≮⫘↔11101101110","reverse_text":"≮⫘↔11101101110=((≮⫘↔101100011110≨≮⫘↔10001111011∕⩚≮⫘↔1100111001111≎⪠≮⫘↔1001011001001)⪡(≮⫘↔1111101111⋩≍≻)⨓≮⫘↔10000011101⊕∕≮⫘↔101010001000)⨸((⪓⩚(⇐≮⫘↔11010101010))≀⫉((⩰≮⫘↔1100001110000)⇔⨋))","cot":[{"info":"≮⫘↔101100011110≨≮⫘↔10001111011=≮⫘↔-110010110000000","layer":3},{"info":"≮⫘↔1100111001111≎⪠≮⫘↔1001011001001=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔-110010110000000∕⩚≮⫘↔100110001100110=≮⫘↔110010101111101","layer":2},{"info":"≮⫘↔1111101111⋩≍≻=≮⫘↔-110111","layer":3},{"info":"≮⫘↔10000011101⊕∕≮⫘↔101010001000=≮⫘↔10000011101","layer":3},{"info":"≮⫘↔-110111⨓≮⫘↔10000011101=≮⫘↔-10000100000","layer":2},{"info":"≮⫘↔110010101111101⪡≮⫘↔-10000100000=≮⫘↔-1110110111","layer":1},{"info":"⇐≮⫘↔11010101010=≮⫘↔100101110010","layer":3},{"info":"⪓⩚≮⫘↔100101110010=≮⫘↔110101010","layer":2},{"info":"⩰≮⫘↔1100001110000=≮⫘↔-1110001011000","layer":3},{"info":"≮⫘↔-1110001011000⇔⨋=≮⫘↔100011111","layer":2},{"info":"≮⫘↔110101010≀⫉≮⫘↔100011111=≮⫘↔101100000110","layer":1},{"info":"≮⫘↔-1110110111⨸≮⫘↔101100000110=≮⫘↔11101101110","layer":0}]}
{"id":214,"expression_no_base_symbol":"⇺⋃(($3367$↤⩊$4835$⫸⇳$4341$↤⩊$8301$)⊲⩕⊾(⇠$5610$)+⪬∐(⇙⪊$6506$))","expression":"⇺⋃((≮⫘↔110100100111↤⩊≮⫘↔1001011100011⫸⇳≮⫘↔1000011110101↤⩊≮⫘↔10000001101101)⊲⩕⊾(⇠≮⫘↔1010111101010)+⪬∐(⇙⪊≮⫘↔1100101101010))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":454,"operation_count":8,"complexity_ratio":56.75,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3367,"base":2},"right_expr":{"type":"numeric_atoms","value":4835,"base":2}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4341,"base":2},"right_expr":{"type":"numeric_atoms","value":8301,"base":2}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":5610,"base":2}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":6506,"base":2}}}}},"used_operators":["E5v5B3UAjG","DmTXOeWf9t","gx7XJ7hdpj","13rbtpv6ld","2GS7woTJqF","18saOjeKKm","pB6Fcnrjim"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","g55IO6H4Gj","D4vGDi5EA2","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3367","layer":4},{"info":"number node, value=4835","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=4835, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=4341","layer":4},{"info":"number node, value=8301","layer":4},{"info":"compute binary expreesion, left_input=4341, right_input=8301, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"number node, value=5610","layer":4},{"info":"compute unary expreesion, input=5610, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-5368","layer":3},{"info":"number node, value=6506","layer":4},{"info":"compute unary expreesion, input=6506, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5368, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=16104","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16104, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇺⋃((≮⫘↔110100100111↤⩊≮⫘↔1001011100011⫸⇳≮⫘↔1000011110101↤⩊≮⫘↔10000001101101)⊲⩕⊾(⇠≮⫘↔1010111101010)+⪬∐(⇙⪊≮⫘↔1100101101010))=NaN","reverse_text":"NaN=⇺⋃((≮⫘↔110100100111↤⩊≮⫘↔1001011100011⫸⇳≮⫘↔1000011110101↤⩊≮⫘↔10000001101101)⊲⩕⊾(⇠≮⫘↔1010111101010)+⪬∐(⇙⪊≮⫘↔1100101101010))","cot":[{"info":"≮⫘↔110100100111↤⩊≮⫘↔1001011100011=NaN","layer":3},{"info":"≮⫘↔1000011110101↤⩊≮⫘↔10000001101101=NaN","layer":3},{"info":"NaN⫸⇳NaN=NaN","layer":2},{"info":"⇠≮⫘↔1010111101010=≮⫘↔-1010011111000","layer":3},{"info":"⇙⪊≮⫘↔1100101101010=≮⫘↔0","layer":3},{"info":"≮⫘↔-1010011111000+⪬∐≮⫘↔0=≮⫘↔11111011101000","layer":2},{"info":"NaN⊲⩕⊾≮⫘↔11111011101000=NaN","layer":1},{"info":"⇺⋃NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"($3171$⋳⪒$2654$)⇂≾⫗($8014$⨟⋌⩍$5816$)≝⊿(⪫⨮⊛($1870$⨑≵⋬$3189$))⨚(($1379$⨰$1805$)⋕⪉⪜($2402$⨔≚≋$1042$)≀⩗∶($1263$⪕$3363$)⇌⫙⪟($1252$⩧⪆$7401$))","expression":"(≮⫘↔110001100011⋳⪒≮⫘↔101001011110)⇂≾⫗(≮⫘↔1111101001110⨟⋌⩍≮⫘↔1011010111000)≝⊿(⪫⨮⊛(≮⫘↔11101001110⨑≵⋬≮⫘↔110001110101))⨚((≮⫘↔10101100011⨰≮⫘↔11100001101)⋕⪉⪜(≮⫘↔100101100010⨔≚≋≮⫘↔10000010010)≀⩗∶(≮⫘↔10011101111⪕≮⫘↔110100100011)⇌⫙⪟(≮⫘↔10011100100⩧⪆≮⫘↔1110011101001))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":224370,"operation_count":14,"complexity_ratio":16026.42857142857,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3171,"base":2},"right_expr":{"type":"numeric_atoms","value":2654,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8014,"base":2},"right_expr":{"type":"numeric_atoms","value":5816,"base":2}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1870,"base":2},"right_expr":{"type":"numeric_atoms","value":3189,"base":2}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1379,"base":2},"right_expr":{"type":"numeric_atoms","value":1805,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2402,"base":2},"right_expr":{"type":"numeric_atoms","value":1042,"base":2}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1263,"base":2},"right_expr":{"type":"numeric_atoms","value":3363,"base":2}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1252,"base":2},"right_expr":{"type":"numeric_atoms","value":7401,"base":2}}}}},"used_operators":["nREPSIbpBE","OKKcZfAt5B","aBQ6xLxuTc","12rbrZMWeM","rGHVDoGpnC","w5FWba1tyO","XnXgA4xnOs","8INZBEW696","z6LnFrNh4i","eewbuw0ToL","Z57zeUYC9z","AFVx7xoS7T","umQnsF7QlU","Ikt5ks8PT7"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","12rbrZMWeM","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3171","layer":4},{"info":"number node, value=2654","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=2654, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3401","layer":3},{"info":"number node, value=8014","layer":4},{"info":"number node, value=5816","layer":4},{"info":"compute binary expreesion, left_input=8014, right_input=5816, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3401, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=1870","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=3189, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-11594","layer":3},{"info":"compute unary expreesion, input=-11594, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"number node, value=1379","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=1805, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-416","layer":3},{"info":"number node, value=2402","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=1042, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-416, right_input=9872, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=1263","layer":4},{"info":"number node, value=3363","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=3363, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=1252","layer":4},{"info":"number node, value=7401","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=7401, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7401","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-7401, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=37151","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=37151, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-546","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-546, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110001100011⋳⪒≮⫘↔101001011110)⇂≾⫗(≮⫘↔1111101001110⨟⋌⩍≮⫘↔1011010111000)≝⊿(⪫⨮⊛(≮⫘↔11101001110⨑≵⋬≮⫘↔110001110101))⨚((≮⫘↔10101100011⨰≮⫘↔11100001101)⋕⪉⪜(≮⫘↔100101100010⨔≚≋≮⫘↔10000010010)≀⩗∶(≮⫘↔10011101111⪕≮⫘↔110100100011)⇌⫙⪟(≮⫘↔10011100100⩧⪆≮⫘↔1110011101001))=NaN","reverse_text":"NaN=(≮⫘↔110001100011⋳⪒≮⫘↔101001011110)⇂≾⫗(≮⫘↔1111101001110⨟⋌⩍≮⫘↔1011010111000)≝⊿(⪫⨮⊛(≮⫘↔11101001110⨑≵⋬≮⫘↔110001110101))⨚((≮⫘↔10101100011⨰≮⫘↔11100001101)⋕⪉⪜(≮⫘↔100101100010⨔≚≋≮⫘↔10000010010)≀⩗∶(≮⫘↔10011101111⪕≮⫘↔110100100011)⇌⫙⪟(≮⫘↔10011100100⩧⪆≮⫘↔1110011101001))","cot":[{"info":"≮⫘↔110001100011⋳⪒≮⫘↔101001011110=≮⫘↔110101001001","layer":3},{"info":"≮⫘↔1111101001110⨟⋌⩍≮⫘↔1011010111000=NaN","layer":3},{"info":"≮⫘↔110101001001⇂≾⫗NaN=NaN","layer":2},{"info":"≮⫘↔11101001110⨑≵⋬≮⫘↔110001110101=≮⫘↔-10110101001010","layer":3},{"info":"⪫⨮⊛≮⫘↔-10110101001010=NaN","layer":2},{"info":"NaN≝⊿NaN=NaN","layer":1},{"info":"≮⫘↔10101100011⨰≮⫘↔11100001101=≮⫘↔-110100000","layer":3},{"info":"≮⫘↔100101100010⨔≚≋≮⫘↔10000010010=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔-110100000⋕⪉⪜≮⫘↔10011010010000=≮⫘↔11001100","layer":2},{"info":"≮⫘↔10011101111⪕≮⫘↔110100100011=≮⫘↔-110111","layer":3},{"info":"≮⫘↔10011100100⩧⪆≮⫘↔1110011101001=≮⫘↔-1110011101001","layer":3},{"info":"≮⫘↔-110111⇌⫙⪟≮⫘↔-1110011101001=≮⫘↔1001000100011111","layer":2},{"info":"≮⫘↔11001100≀⩗∶≮⫘↔1001000100011111=≮⫘↔-1000100010","layer":1},{"info":"NaN⨚≮⫘↔-1000100010=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"(((⨙⪌$4670$)⪣⫩)/(+⊝⨔$1115$⪬$1060$))≄⊠(≇⪴(⇉-⫰$5083$)⋕⪉⪜($3381$∑⇟⊟$4764$))","expression":"(((⨙⪌≮⫘↔1001000111110)⪣⫩)/(+⊝⨔≮⫘↔10001011011⪬≮⫘↔10000100100))≄⊠(≇⪴(⇉-⫰≮⫘↔1001111011011)⋕⪉⪜(≮⫘↔110100110101∑⇟⊟≮⫘↔1001010011100))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1636,"operation_count":10,"complexity_ratio":163.6,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":4670,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1115,"base":2},"right_expr":{"type":"numeric_atoms","value":1060,"base":2}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":5083,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3381,"base":2},"right_expr":{"type":"numeric_atoms","value":4764,"base":2}}}}},"used_operators":["vXNesLlMH1","XhwjNDsVaA","iuk5sVOGFA","vEGLkm4Z2k","DhbWaqg5eL","Ez1Nq5fNfI","zoVPnxeHJ3","z6LnFrNh4i","IGFM8TAlm9","U7g4x0WXJJ"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eH2TOUuTDT","eewbuw0ToL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"≮⫘↔100010100111100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4670","layer":4},{"info":"compute unary expreesion, input=4670, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=2571","layer":2},{"info":"number node, value=1115","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1060, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=2571, right_input=1522, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=5083","layer":4},{"info":"compute unary expreesion, input=5083, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=3381","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=3381, right_input=4764, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=816","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=816, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=17724","layer":0}],"base":2,"result_base":2,"text":"(((⨙⪌≮⫘↔1001000111110)⪣⫩)/(+⊝⨔≮⫘↔10001011011⪬≮⫘↔10000100100))≄⊠(≇⪴(⇉-⫰≮⫘↔1001111011011)⋕⪉⪜(≮⫘↔110100110101∑⇟⊟≮⫘↔1001010011100))=≮⫘↔100010100111100","reverse_text":"≮⫘↔100010100111100=(((⨙⪌≮⫘↔1001000111110)⪣⫩)/(+⊝⨔≮⫘↔10001011011⪬≮⫘↔10000100100))≄⊠(≇⪴(⇉-⫰≮⫘↔1001111011011)⋕⪉⪜(≮⫘↔110100110101∑⇟⊟≮⫘↔1001010011100))","cot":[{"info":"⨙⪌≮⫘↔1001000111110=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔1101100100⪣⫩=≮⫘↔101000001011","layer":2},{"info":"≮⫘↔10001011011⪬≮⫘↔10000100100=≮⫘↔10011010010","layer":3},{"info":"+⊝⨔≮⫘↔10011010010=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔101000001011/≮⫘↔10111110010=≮⫘↔1","layer":1},{"info":"⇉-⫰≮⫘↔1001111011011=≮⫘↔10100","layer":3},{"info":"≮⫘↔110100110101∑⇟⊟≮⫘↔1001010011100=NaN","layer":3},{"info":"≮⫘↔10100⋕⪉⪜NaN=≮⫘↔11001100","layer":2},{"info":"≇⪴≮⫘↔11001100=≮⫘↔1100110000","layer":1},{"info":"≮⫘↔1≄⊠≮⫘↔1100110000=≮⫘↔100010100111100","layer":0}]}
{"id":217,"expression_no_base_symbol":"(≸≮(⇨($2029$⩉⊫⨁)))⨒((↥≼⋛($1159$⫔⩽⩺$4848$))⨑≵⋬($1303$≌$2079$↱($2455$↱$1274$)))","expression":"(≸≮(⇨(≮⫘↔11111101101⩉⊫⨁)))⨒((↥≼⋛(≮⫘↔10010000111⫔⩽⩺≮⫘↔1001011110000))⨑≵⋬(≮⫘↔10100010111≌≮⫘↔100000011111↱(≮⫘↔100110010111↱≮⫘↔10011111010)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2407,"operation_count":10,"complexity_ratio":240.7,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2029,"base":2}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1159,"base":2},"right_expr":{"type":"numeric_atoms","value":4848,"base":2}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1303,"base":2},"right_expr":{"type":"numeric_atoms","value":2079,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2455,"base":2},"right_expr":{"type":"numeric_atoms","value":1274,"base":2}}}}},"used_operators":["y75s1iXyHd","AljMvE3RRm","G9tJMlZ94a","7qqUquhhSb","XnXgA4xnOs","x5lMkHmzsq","i9eR4S00cU","SR5kFfdi6N","lyWz822IDG"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","k8jYdgA6NY","7j4O788W3g","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Tw270M8GLb","fu6greOZ01","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2029","layer":4},{"info":"compute unary expreesion, input=2029, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2029","layer":3},{"info":"compute unary expreesion, input=2029, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-262","layer":1},{"info":"number node, value=1159","layer":4},{"info":"number node, value=4848","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=4848, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=1303","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2079, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2455","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=1274, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3300","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3300, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-11088","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=-11088, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=101638","layer":1},{"info":"compute binary expreesion, left_input=-262, right_input=101638, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≸≮(⇨(≮⫘↔11111101101⩉⊫⨁)))⨒((↥≼⋛(≮⫘↔10010000111⫔⩽⩺≮⫘↔1001011110000))⨑≵⋬(≮⫘↔10100010111≌≮⫘↔100000011111↱(≮⫘↔100110010111↱≮⫘↔10011111010)))=≮⫘↔0","reverse_text":"≮⫘↔0=(≸≮(⇨(≮⫘↔11111101101⩉⊫⨁)))⨒((↥≼⋛(≮⫘↔10010000111⫔⩽⩺≮⫘↔1001011110000))⨑≵⋬(≮⫘↔10100010111≌≮⫘↔100000011111↱(≮⫘↔100110010111↱≮⫘↔10011111010)))","cot":[{"info":"≮⫘↔11111101101⩉⊫⨁=≮⫘↔11111101101","layer":3},{"info":"⇨≮⫘↔11111101101=≮⫘↔0","layer":2},{"info":"≸≮≮⫘↔0=≮⫘↔-100000110","layer":1},{"info":"≮⫘↔10010000111⫔⩽⩺≮⫘↔1001011110000=NaN","layer":3},{"info":"↥≼⋛NaN=≮⫘↔-1110001","layer":2},{"info":"≮⫘↔10100010111≌≮⫘↔100000011111=NaN","layer":3},{"info":"≮⫘↔100110010111↱≮⫘↔10011111010=≮⫘↔-110011100100","layer":3},{"info":"NaN↱≮⫘↔-110011100100=≮⫘↔-10101101010000","layer":2},{"info":"≮⫘↔-1110001⨑≵⋬≮⫘↔-10101101010000=≮⫘↔11000110100000110","layer":1},{"info":"≮⫘↔-100000110⨒≮⫘↔11000110100000110=≮⫘↔0","layer":0}]}
{"id":218,"expression_no_base_symbol":"↣≠⋷($3530$⋥≓≎$5237$)⪬(∜⨇$1583$)⩁⩘($1027$⊮⊟↴$3687$⨟⋌⩍($2687$⨳⩥⨓$1274$))","expression":"↣≠⋷(≮⫘↔110111001010⋥≓≎≮⫘↔1010001110101)⪬(∜⨇≮⫘↔11000101111)⩁⩘(≮⫘↔10000000011⊮⊟↴≮⫘↔111001100111⨟⋌⩍(≮⫘↔101001111111⨳⩥⨓≮⫘↔10011111010))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":702,"operation_count":8,"complexity_ratio":87.75,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3530,"base":2},"right_expr":{"type":"numeric_atoms","value":5237,"base":2}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1583,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1027,"base":2},"right_expr":{"type":"numeric_atoms","value":3687,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2687,"base":2},"right_expr":{"type":"numeric_atoms","value":1274,"base":2}}}}},"used_operators":["Asc51vEJeQ","gub5Cegaqo","Ez1Nq5fNfI","Qy55tPpLXF","uFPyJr306J","rGHVDoGpnC","QDVgd2eftb","nCS4ZIUYfx"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","DpFCA1CohY","IWmyXbctLI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Tcnh7f0tEr","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3530","layer":4},{"info":"number node, value=5237","layer":4},{"info":"compute binary expreesion, left_input=3530, right_input=5237, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6977","layer":3},{"info":"number node, value=1583","layer":4},{"info":"compute unary expreesion, input=1583, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6977, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1027","layer":4},{"info":"number node, value=3687","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=3687, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2687","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=1274, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1413","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1413, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↣≠⋷(≮⫘↔110111001010⋥≓≎≮⫘↔1010001110101)⪬(∜⨇≮⫘↔11000101111)⩁⩘(≮⫘↔10000000011⊮⊟↴≮⫘↔111001100111⨟⋌⩍(≮⫘↔101001111111⨳⩥⨓≮⫘↔10011111010))=NaN","reverse_text":"NaN=↣≠⋷(≮⫘↔110111001010⋥≓≎≮⫘↔1010001110101)⪬(∜⨇≮⫘↔11000101111)⩁⩘(≮⫘↔10000000011⊮⊟↴≮⫘↔111001100111⨟⋌⩍(≮⫘↔101001111111⨳⩥⨓≮⫘↔10011111010))","cot":[{"info":"≮⫘↔110111001010⋥≓≎≮⫘↔1010001110101=≮⫘↔1101101000001","layer":3},{"info":"∜⨇≮⫘↔11000101111=NaN","layer":3},{"info":"≮⫘↔1101101000001⪬NaN=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔10000000011⊮⊟↴≮⫘↔111001100111=≮⫘↔0","layer":3},{"info":"≮⫘↔101001111111⨳⩥⨓≮⫘↔10011111010=≮⫘↔-10110000101","layer":3},{"info":"≮⫘↔0⨟⋌⩍≮⫘↔-10110000101=NaN","layer":2},{"info":"≮⫘↔10011010010⩁⩘NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"($2964$⨳⩥⨓$1186$⊾⪯⋞$3937$≥⨤⩑$1602$)⨐(⫎≠⋺$4936$)⩦($3208$⋛$2972$)⇣⩺⋵(($8228$⪭≯$1433$)⋛($1068$⨽$3617$)≎⊠⪸(⩰($1787$∪⫐$3183$)))","expression":"(≮⫘↔101110010100⨳⩥⨓≮⫘↔10010100010⊾⪯⋞≮⫘↔111101100001≥⨤⩑≮⫘↔11001000010)⨐(⫎≠⋺≮⫘↔1001101001000)⩦(≮⫘↔110010001000⋛≮⫘↔101110011100)⇣⩺⋵((≮⫘↔10000000100100⪭≯≮⫘↔10110011001)⋛(≮⫘↔10000101100⨽≮⫘↔111000100001)≎⊠⪸(⩰(≮⫘↔11011111011∪⫐≮⫘↔110001101111)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1748,"operation_count":14,"complexity_ratio":124.85714285714286,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2964,"base":2},"right_expr":{"type":"numeric_atoms","value":1186,"base":2}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3937,"base":2},"right_expr":{"type":"numeric_atoms","value":1602,"base":2}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4936,"base":2}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3208,"base":2},"right_expr":{"type":"numeric_atoms","value":2972,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":8228,"base":2},"right_expr":{"type":"numeric_atoms","value":1433,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1068,"base":2},"right_expr":{"type":"numeric_atoms","value":3617,"base":2}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1787,"base":2},"right_expr":{"type":"numeric_atoms","value":3183,"base":2}}}}},"used_operators":["F4yD0voBRQ","Noe24qw2ks","HK0tfVPux8","nCS4ZIUYfx","gJLn6v0xnP","0kmYd0q39Y","LYeZOJ0nQG","YbUVn0Rbpy","bJkvcejdHO","XAx5wpdLa6","8HhzD0ZcuI","WkeUrDK8WX","7YooWSwCyH"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0"],"result":"≮⫘↔-100000000011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2964","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=1186, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1778","layer":3},{"info":"number node, value=3937","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=3937, right_input=1602, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1778, right_input=1234, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2042","layer":2},{"info":"number node, value=4936","layer":4},{"info":"compute unary expreesion, input=4936, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=3208","layer":4},{"info":"number node, value=2972","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=2972, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-103320","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-103320, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2042, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4084","layer":1},{"info":"number node, value=8228","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=8228, right_input=1433, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=3617, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3431409","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3431409, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-10293582","layer":2},{"info":"number node, value=1787","layer":4},{"info":"number node, value=3183","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=3183, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1787","layer":3},{"info":"compute unary expreesion, input=1787, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2787","layer":2},{"info":"compute binary expreesion, left_input=-10293582, right_input=-2787, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-4084, right_input=67, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-16408","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101110010100⨳⩥⨓≮⫘↔10010100010⊾⪯⋞≮⫘↔111101100001≥⨤⩑≮⫘↔11001000010)⨐(⫎≠⋺≮⫘↔1001101001000)⩦(≮⫘↔110010001000⋛≮⫘↔101110011100)⇣⩺⋵((≮⫘↔10000000100100⪭≯≮⫘↔10110011001)⋛(≮⫘↔10000101100⨽≮⫘↔111000100001)≎⊠⪸(⩰(≮⫘↔11011111011∪⫐≮⫘↔110001101111)))=≮⫘↔-100000000011000","reverse_text":"≮⫘↔-100000000011000=(≮⫘↔101110010100⨳⩥⨓≮⫘↔10010100010⊾⪯⋞≮⫘↔111101100001≥⨤⩑≮⫘↔11001000010)⨐(⫎≠⋺≮⫘↔1001101001000)⩦(≮⫘↔110010001000⋛≮⫘↔101110011100)⇣⩺⋵((≮⫘↔10000000100100⪭≯≮⫘↔10110011001)⋛(≮⫘↔10000101100⨽≮⫘↔111000100001)≎⊠⪸(⩰(≮⫘↔11011111011∪⫐≮⫘↔110001101111)))","cot":[{"info":"≮⫘↔101110010100⨳⩥⨓≮⫘↔10010100010=≮⫘↔-11011110010","layer":3},{"info":"≮⫘↔111101100001≥⨤⩑≮⫘↔11001000010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-11011110010⊾⪯⋞≮⫘↔10011010010=≮⫘↔11111111010","layer":2},{"info":"⫎≠⋺≮⫘↔1001101001000=≮⫘↔0","layer":3},{"info":"≮⫘↔110010001000⋛≮⫘↔101110011100=≮⫘↔-11001001110011000","layer":3},{"info":"≮⫘↔0⩦≮⫘↔-11001001110011000=≮⫘↔0","layer":2},{"info":"≮⫘↔11111111010⨐≮⫘↔0=≮⫘↔-111111110100","layer":1},{"info":"≮⫘↔10000000100100⪭≯≮⫘↔10110011001=NaN","layer":3},{"info":"≮⫘↔10000101100⨽≮⫘↔111000100001=≮⫘↔-1101000101101111110001","layer":3},{"info":"NaN⋛≮⫘↔-1101000101101111110001=≮⫘↔-100111010001000101001110","layer":2},{"info":"≮⫘↔11011111011∪⫐≮⫘↔110001101111=≮⫘↔11011111011","layer":3},{"info":"⩰≮⫘↔11011111011=≮⫘↔-101011100011","layer":2},{"info":"≮⫘↔-100111010001000101001110≎⊠⪸≮⫘↔-101011100011=≮⫘↔1000011","layer":1},{"info":"≮⫘↔-111111110100⇣⩺⋵≮⫘↔1000011=≮⫘↔-100000000011000","layer":0}]}
{"id":220,"expression_no_base_symbol":"(⊄⩳↩($5281$≑≱⪘))∌($1144$∳⫺$3202$⫢⨠($3533$*$2200$))⩇∃⫛(⨣⨃⇪($3864$≠≀$3575$⪄(∐⩳⋚$5655$)))","expression":"(⊄⩳↩(≮⫘↔1010010100001≑≱⪘))∌(≮⫘↔10001111000∳⫺≮⫘↔110010000010⫢⨠(≮⫘↔110111001101*≮⫘↔100010011000))⩇∃⫛(⨣⨃⇪(≮⫘↔111100011000≠≀≮⫘↔110111110111⪄(∐⩳⋚≮⫘↔1011000010111)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2716,"operation_count":11,"complexity_ratio":246.9090909090909,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":5281,"base":2}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1144,"base":2},"right_expr":{"type":"numeric_atoms","value":3202,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3533,"base":2},"right_expr":{"type":"numeric_atoms","value":2200,"base":2}}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3864,"base":2},"right_expr":{"type":"numeric_atoms","value":3575,"base":2}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":5655,"base":2}}}}},"used_operators":["1aApVXNlOP","8cLx32lpNA","8w2t5hMYqp","tGSeddj7UK","xlXykHWxX1","AzXXKTstlj","9HNa5Wba9A","AcOhelriW5","SUmda5xLS4","IwW236VD4Y","SL6IHkK8vl"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"≮⫘↔-1100001111001110101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5281","layer":4},{"info":"compute unary expreesion, input=5281, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=133671","layer":3},{"info":"compute unary expreesion, input=133671, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-401013","layer":2},{"info":"number node, value=1144","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=3202, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-1766","layer":3},{"info":"number node, value=3533","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=2200, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7772600","layer":3},{"info":"compute binary expreesion, left_input=-1766, right_input=7772600, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-401013, right_input=160, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-401013","layer":1},{"info":"number node, value=3864","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=3864, right_input=3575, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7422","layer":3},{"info":"number node, value=5655","layer":4},{"info":"compute unary expreesion, input=5655, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=835522","layer":3},{"info":"compute binary expreesion, left_input=-7422, right_input=835522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=-401013, right_input=1405, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-401013","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(≮⫘↔1010010100001≑≱⪘))∌(≮⫘↔10001111000∳⫺≮⫘↔110010000010⫢⨠(≮⫘↔110111001101*≮⫘↔100010011000))⩇∃⫛(⨣⨃⇪(≮⫘↔111100011000≠≀≮⫘↔110111110111⪄(∐⩳⋚≮⫘↔1011000010111)))=≮⫘↔-1100001111001110101","reverse_text":"≮⫘↔-1100001111001110101=(⊄⩳↩(≮⫘↔1010010100001≑≱⪘))∌(≮⫘↔10001111000∳⫺≮⫘↔110010000010⫢⨠(≮⫘↔110111001101*≮⫘↔100010011000))⩇∃⫛(⨣⨃⇪(≮⫘↔111100011000≠≀≮⫘↔110111110111⪄(∐⩳⋚≮⫘↔1011000010111)))","cot":[{"info":"≮⫘↔1010010100001≑≱⪘=≮⫘↔100000101000100111","layer":3},{"info":"⊄⩳↩≮⫘↔100000101000100111=≮⫘↔-1100001111001110101","layer":2},{"info":"≮⫘↔10001111000∳⫺≮⫘↔110010000010=≮⫘↔-11011100110","layer":3},{"info":"≮⫘↔110111001101*≮⫘↔100010011000=≮⫘↔11101101001100110111000","layer":3},{"info":"≮⫘↔-11011100110⫢⨠≮⫘↔11101101001100110111000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-1100001111001110101∌≮⫘↔10100000=≮⫘↔-1100001111001110101","layer":1},{"info":"≮⫘↔111100011000≠≀≮⫘↔110111110111=≮⫘↔-1110011111110","layer":3},{"info":"∐⩳⋚≮⫘↔1011000010111=≮⫘↔11001011111111000010","layer":3},{"info":"≮⫘↔-1110011111110⪄≮⫘↔11001011111111000010=≮⫘↔111110001011","layer":2},{"info":"⨣⨃⇪≮⫘↔111110001011=≮⫘↔10101111101","layer":1},{"info":"≮⫘↔-1100001111001110101⩇∃⫛≮⫘↔10101111101=≮⫘↔-1100001111001110101","layer":0}]}
{"id":221,"expression_no_base_symbol":"((⫎≠⋺($7661$⊋≦⊧$4931$))⫘(∑⇻≧$2117$↼⊘⨖$1878$))⫽⇹≛","expression":"((⫎≠⋺(≮⫘↔1110111101101⊋≦⊧≮⫘↔1001101000011))⫘(∑⇻≧≮⫘↔100001000101↼⊘⨖≮⫘↔11101010110))⫽⇹≛","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":995,"operation_count":6,"complexity_ratio":165.83333333333334,"tree":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7661,"base":2},"right_expr":{"type":"numeric_atoms","value":4931,"base":2}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2117,"base":2},"right_expr":{"type":"numeric_atoms","value":1878,"base":2}}}}},"used_operators":["NNaDxxp6OQ","48vC8HMD2b","LYeZOJ0nQG","oRDoc9rAEX","l1M9WJ3V7u","bPywburJMS"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"≮⫘↔100010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7661","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=7661, right_input=4931, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-9622","layer":3},{"info":"compute unary expreesion, input=-9622, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"number node, value=2117","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=1878, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3534","layer":3},{"info":"compute unary expreesion, input=3534, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=-852, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=838189","layer":1},{"info":"compute unary expreesion, input=838189, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":2,"result_base":2,"text":"((⫎≠⋺(≮⫘↔1110111101101⊋≦⊧≮⫘↔1001101000011))⫘(∑⇻≧≮⫘↔100001000101↼⊘⨖≮⫘↔11101010110))⫽⇹≛=≮⫘↔100010000","reverse_text":"≮⫘↔100010000=((⫎≠⋺(≮⫘↔1110111101101⊋≦⊧≮⫘↔1001101000011))⫘(∑⇻≧≮⫘↔100001000101↼⊘⨖≮⫘↔11101010110))⫽⇹≛","cot":[{"info":"≮⫘↔1110111101101⊋≦⊧≮⫘↔1001101000011=≮⫘↔-10010110010110","layer":3},{"info":"⫎≠⋺≮⫘↔-10010110010110=≮⫘↔-1011000101","layer":2},{"info":"≮⫘↔100001000101↼⊘⨖≮⫘↔11101010110=≮⫘↔110111001110","layer":3},{"info":"∑⇻≧≮⫘↔110111001110=≮⫘↔-1101010100","layer":2},{"info":"≮⫘↔-1011000101⫘≮⫘↔-1101010100=≮⫘↔11001100101000101101","layer":1},{"info":"≮⫘↔11001100101000101101⫽⇹≛=≮⫘↔100010000","layer":0}]}
{"id":222,"expression_no_base_symbol":"(⊢≑≆(≸$4409$∣$2416$))≒∊($1220$∳⫺$1243$⊾⪯⋞(⩎⋉$2419$))≌($3011$∋$3768$⪭($1039$≥⨤⩑$2151$))","expression":"(⊢≑≆(≸≮⫘↔1000100111001∣≮⫘↔100101110000))≒∊(≮⫘↔10011000100∳⫺≮⫘↔10011011011⊾⪯⋞(⩎⋉≮⫘↔100101110011))≌(≮⫘↔101111000011∋≮⫘↔111010111000⪭(≮⫘↔10000001111≥⨤⩑≮⫘↔100001100111))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":582,"operation_count":11,"complexity_ratio":52.90909090909091,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4409,"base":2},"right_expr":{"type":"numeric_atoms","value":2416,"base":2}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1220,"base":2},"right_expr":{"type":"numeric_atoms","value":1243,"base":2}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":2419,"base":2}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3011,"base":2},"right_expr":{"type":"numeric_atoms","value":3768,"base":2}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1039,"base":2},"right_expr":{"type":"numeric_atoms","value":2151,"base":2}}}}},"used_operators":["5KTvxBwnZo","27wFxooxGf","eOf03JbCpp","PPChnnnBFF","lyWz822IDG","HK0tfVPux8","AzXXKTstlj","FlXk3pOYe8","j9kHMeSvPp","ukq6epAj5P","gJLn6v0xnP"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","COABgblf1C","xUOZtlo3hN","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"≮⫘↔110010111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4409","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=4409, right_input=2416, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4409","layer":3},{"info":"compute unary expreesion, input=4409, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"compute unary expreesion, input=58, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=77","layer":1},{"info":"number node, value=1220","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=1243, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2419","layer":4},{"info":"compute unary expreesion, input=2419, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=1650, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2874","layer":2},{"info":"number node, value=3011","layer":4},{"info":"number node, value=3768","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=3768, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=7910196","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2151, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=7910196, right_input=1234, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=2874, right_input=5, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9112","layer":1},{"info":"compute binary expreesion, left_input=77, right_input=9112, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=407","layer":0}],"base":2,"result_base":2,"text":"(⊢≑≆(≸≮⫘↔1000100111001∣≮⫘↔100101110000))≒∊(≮⫘↔10011000100∳⫺≮⫘↔10011011011⊾⪯⋞(⩎⋉≮⫘↔100101110011))≌(≮⫘↔101111000011∋≮⫘↔111010111000⪭(≮⫘↔10000001111≥⨤⩑≮⫘↔100001100111))=≮⫘↔110010111","reverse_text":"≮⫘↔110010111=(⊢≑≆(≸≮⫘↔1000100111001∣≮⫘↔100101110000))≒∊(≮⫘↔10011000100∳⫺≮⫘↔10011011011⊾⪯⋞(⩎⋉≮⫘↔100101110011))≌(≮⫘↔101111000011∋≮⫘↔111010111000⪭(≮⫘↔10000001111≥⨤⩑≮⫘↔100001100111))","cot":[{"info":"≮⫘↔1000100111001∣≮⫘↔100101110000=≮⫘↔1000100111001","layer":3},{"info":"≸≮⫘↔1000100111001=≮⫘↔111010","layer":2},{"info":"⊢≑≆≮⫘↔111010=≮⫘↔1001101","layer":1},{"info":"≮⫘↔10011000100∳⫺≮⫘↔10011011011=≮⫘↔-100000100","layer":3},{"info":"⩎⋉≮⫘↔100101110011=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔-100000100⊾⪯⋞≮⫘↔11001110010=≮⫘↔101100111010","layer":2},{"info":"≮⫘↔101111000011∋≮⫘↔111010111000=≮⫘↔11110001011001100110100","layer":3},{"info":"≮⫘↔10000001111≥⨤⩑≮⫘↔100001100111=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔11110001011001100110100⪭≮⫘↔10011010010=≮⫘↔101","layer":2},{"info":"≮⫘↔101100111010≌≮⫘↔101=≮⫘↔10001110011000","layer":1},{"info":"≮⫘↔1001101≒∊≮⫘↔10001110011000=≮⫘↔110010111","layer":0}]}
{"id":223,"expression_no_base_symbol":"($1082$∳⫺$2060$+⪬∐(⊲⪭$2532$)≹⇙⪍((⇋⊎⋝$1427$)↓⨍⋜))⪟⇏(($4844$⊨$1997$⪉⨛$1041$⫉⨲⊜$1065$)⫿)","expression":"(≮⫘↔10000111010∳⫺≮⫘↔100000001100+⪬∐(⊲⪭≮⫘↔100111100100)≹⇙⪍((⇋⊎⋝≮⫘↔10110010011)↓⨍⋜))⪟⇏((≮⫘↔1001011101100⊨≮⫘↔11111001101⪉⨛≮⫘↔10000010001⫉⨲⊜≮⫘↔10000101001)⫿)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1857,"operation_count":11,"complexity_ratio":168.8181818181818,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1082,"base":2},"right_expr":{"type":"numeric_atoms","value":2060,"base":2}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2532,"base":2}}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1427,"base":2}}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4844,"base":2},"right_expr":{"type":"numeric_atoms","value":1997,"base":2}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1041,"base":2},"right_expr":{"type":"numeric_atoms","value":1065,"base":2}}}}},"used_operators":["GODebY97qR","AHs5Up7iyr","2GS7woTJqF","AzXXKTstlj","k7HXdKtiEU","3DVzLFNsE9","CzM2PEoXns","9tKT6PmtkH","EWw2JM7wp4","vg4gO5BX6G","WhqkvtTD3t"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","dWAJyo7jo9","g55IO6H4Gj","D4vGDi5EA2","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","i8ToyICDmI","xUOZtlo3hN","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","dWAJyo7jo9","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=2060, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2532","layer":4},{"info":"compute unary expreesion, input=2532, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2706","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-2706, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=780","layer":2},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=780, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4844","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=4844, right_input=1997, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=20407","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1065, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=20407, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=61436","layer":2},{"info":"compute unary expreesion, input=61436, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=61436","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=61436, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000111010∳⫺≮⫘↔100000001100+⪬∐(⊲⪭≮⫘↔100111100100)≹⇙⪍((⇋⊎⋝≮⫘↔10110010011)↓⨍⋜))⪟⇏((≮⫘↔1001011101100⊨≮⫘↔11111001101⪉⨛≮⫘↔10000010001⫉⨲⊜≮⫘↔10000101001)⫿)=NaN","reverse_text":"NaN=(≮⫘↔10000111010∳⫺≮⫘↔100000001100+⪬∐(⊲⪭≮⫘↔100111100100)≹⇙⪍((⇋⊎⋝≮⫘↔10110010011)↓⨍⋜))⪟⇏((≮⫘↔1001011101100⊨≮⫘↔11111001101⪉⨛≮⫘↔10000010001⫉⨲⊜≮⫘↔10000101001)⫿)","cot":[{"info":"≮⫘↔10000111010∳⫺≮⫘↔100000001100=≮⫘↔-100000100","layer":3},{"info":"⊲⪭≮⫘↔100111100100=≮⫘↔-101010010010","layer":3},{"info":"≮⫘↔-100000100+⪬∐≮⫘↔-101010010010=≮⫘↔1100001100","layer":2},{"info":"⇋⊎⋝≮⫘↔10110010011=NaN","layer":3},{"info":"NaN↓⨍⋜=NaN","layer":2},{"info":"≮⫘↔1100001100≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔1001011101100⊨≮⫘↔11111001101=≮⫘↔100111110110111","layer":3},{"info":"≮⫘↔10000010001⫉⨲⊜≮⫘↔10000101001=≮⫘↔0","layer":3},{"info":"≮⫘↔100111110110111⪉⨛≮⫘↔0=≮⫘↔1110111111111100","layer":2},{"info":"≮⫘↔1110111111111100⫿=≮⫘↔1110111111111100","layer":1},{"info":"NaN⪟⇏≮⫘↔1110111111111100=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"(⫯($4042$⩁))⨜⨶((⩒∊$2383$)⪭(∡$3822$))∼($2572$⫁⪎$1692$)↞⋁($1319$⊬⨰$3588$)≝⊿($3283$⪎↠$1356$∣($1308$⨓$2104$))","expression":"(⫯(≮⫘↔111111001010⩁))⨜⨶((⩒∊≮⫘↔100101001111)⪭(∡≮⫘↔111011101110))∼(≮⫘↔101000001100⫁⪎≮⫘↔11010011100)↞⋁(≮⫘↔10100100111⊬⨰≮⫘↔111000000100)≝⊿(≮⫘↔110011010011⪎↠≮⫘↔10101001100∣(≮⫘↔10100011100⨓≮⫘↔100000111000))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":155877,"operation_count":14,"complexity_ratio":11134.07142857143,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":4042,"base":2}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2383,"base":2}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":3822,"base":2}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2572,"base":2},"right_expr":{"type":"numeric_atoms","value":1692,"base":2}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1319,"base":2},"right_expr":{"type":"numeric_atoms","value":3588,"base":2}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3283,"base":2},"right_expr":{"type":"numeric_atoms","value":1356,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1308,"base":2},"right_expr":{"type":"numeric_atoms","value":2104,"base":2}}}}},"used_operators":["DyGG3AbaNP","HiPekx5b7W","H6BK1Evt7c","5GqDbVmqXU","j9kHMeSvPp","qazvmhNBbN","pRsWfj4Fpp","OKKcZfAt5B","RqrPlJkxDo","xRrnTEsQ6j","s3Fd5m9Dh2","PPChnnnBFF","3tVxb0NHM4","3ViojmjbAp"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","12rbrZMWeM","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4042","layer":4},{"info":"compute unary expreesion, input=4042, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-29556","layer":3},{"info":"compute unary expreesion, input=-29556, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=782408","layer":2},{"info":"number node, value=2383","layer":4},{"info":"compute unary expreesion, input=2383, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4009","layer":3},{"info":"number node, value=3822","layer":4},{"info":"compute unary expreesion, input=3822, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-3822","layer":3},{"info":"compute binary expreesion, left_input=4009, right_input=-3822, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=782408, right_input=5, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=7824893","layer":1},{"info":"number node, value=2572","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=1692, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=880","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=3588","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=3588, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14615","layer":3},{"info":"compute binary expreesion, left_input=880, right_input=14615, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=3283","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=1356, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=2104, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2107","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2107, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=797","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=797, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7824893, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫯(≮⫘↔111111001010⩁))⨜⨶((⩒∊≮⫘↔100101001111)⪭(∡≮⫘↔111011101110))∼(≮⫘↔101000001100⫁⪎≮⫘↔11010011100)↞⋁(≮⫘↔10100100111⊬⨰≮⫘↔111000000100)≝⊿(≮⫘↔110011010011⪎↠≮⫘↔10101001100∣(≮⫘↔10100011100⨓≮⫘↔100000111000))=NaN","reverse_text":"NaN=(⫯(≮⫘↔111111001010⩁))⨜⨶((⩒∊≮⫘↔100101001111)⪭(∡≮⫘↔111011101110))∼(≮⫘↔101000001100⫁⪎≮⫘↔11010011100)↞⋁(≮⫘↔10100100111⊬⨰≮⫘↔111000000100)≝⊿(≮⫘↔110011010011⪎↠≮⫘↔10101001100∣(≮⫘↔10100011100⨓≮⫘↔100000111000))","cot":[{"info":"≮⫘↔111111001010⩁=≮⫘↔-111001101110100","layer":3},{"info":"⫯≮⫘↔-111001101110100=≮⫘↔10111111000001001000","layer":2},{"info":"⩒∊≮⫘↔100101001111=≮⫘↔111110101001","layer":3},{"info":"∡≮⫘↔111011101110=≮⫘↔-111011101110","layer":3},{"info":"≮⫘↔111110101001⪭≮⫘↔-111011101110=≮⫘↔101","layer":2},{"info":"≮⫘↔10111111000001001000⨜⨶≮⫘↔101=≮⫘↔11101110110010111111101","layer":1},{"info":"≮⫘↔101000001100⫁⪎≮⫘↔11010011100=≮⫘↔1101110000","layer":3},{"info":"≮⫘↔10100100111⊬⨰≮⫘↔111000000100=≮⫘↔11100100010111","layer":3},{"info":"≮⫘↔1101110000↞⋁≮⫘↔11100100010111=NaN","layer":2},{"info":"≮⫘↔110011010011⪎↠≮⫘↔10101001100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100011100⨓≮⫘↔100000111000=≮⫘↔-100000111011","layer":3},{"info":"≮⫘↔10100000∣≮⫘↔-100000111011=≮⫘↔1100011101","layer":2},{"info":"NaN≝⊿≮⫘↔1100011101=NaN","layer":1},{"info":"≮⫘↔11101110110010111111101∼NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"($4891$∺≝⩲$1045$≬⋮($5695$-$1423$))⇴(↞≼($2983$⊍⩺⋍$1288$))⫸⇳(≪($7719$↺$1585$))⨔≚≋($1840$⫸⊐$3100$⩢≌)","expression":"(≮⫘↔1001100011011∺≝⩲≮⫘↔10000010101≬⋮(≮⫘↔1011000111111-≮⫘↔10110001111))⇴(↞≼(≮⫘↔101110100111⊍⩺⋍≮⫘↔10100001000))⫸⇳(≪(≮⫘↔1111000100111↺≮⫘↔11000110001))⨔≚≋(≮⫘↔11100110000⫸⊐≮⫘↔110000011100⩢≌)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":614,"operation_count":12,"complexity_ratio":51.166666666666664,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4891,"base":2},"right_expr":{"type":"numeric_atoms","value":1045,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5695,"base":2},"right_expr":{"type":"numeric_atoms","value":1423,"base":2}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2983,"base":2},"right_expr":{"type":"numeric_atoms","value":1288,"base":2}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7719,"base":2},"right_expr":{"type":"numeric_atoms","value":1585,"base":2}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1840,"base":2},"right_expr":{"type":"numeric_atoms","value":3100,"base":2}}}}},"used_operators":["gx7XJ7hdpj","4JB6nKBMSY","kbkesczE7y","KPf6cnQVty","rysDP5nf3Z","DE7zCoGJt9","OXDGMFPWZM","Z57zeUYC9z","Qtd6bqUJcN","7j4O788W3g","D617RFjZIq","mqXw5SEYmG"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","rysDP5nf3Z","t8gj7n24qd","hTbEZDJLEm","o20kRiQErp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4891","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=4891, right_input=1045, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=5695","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=5695, right_input=1423, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4272","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4272, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=2983","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=1288, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"number node, value=7719","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=7719, right_input=1585, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1585","layer":3},{"info":"compute unary expreesion, input=1585, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"number node, value=1840","layer":4},{"info":"number node, value=3100","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=3100, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12275","layer":3},{"info":"compute unary expreesion, input=12275, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=113, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001100011011∺≝⩲≮⫘↔10000010101≬⋮(≮⫘↔1011000111111-≮⫘↔10110001111))⇴(↞≼(≮⫘↔101110100111⊍⩺⋍≮⫘↔10100001000))⫸⇳(≪(≮⫘↔1111000100111↺≮⫘↔11000110001))⨔≚≋(≮⫘↔11100110000⫸⊐≮⫘↔110000011100⩢≌)=NaN","reverse_text":"NaN=(≮⫘↔1001100011011∺≝⩲≮⫘↔10000010101≬⋮(≮⫘↔1011000111111-≮⫘↔10110001111))⇴(↞≼(≮⫘↔101110100111⊍⩺⋍≮⫘↔10100001000))⫸⇳(≪(≮⫘↔1111000100111↺≮⫘↔11000110001))⨔≚≋(≮⫘↔11100110000⫸⊐≮⫘↔110000011100⩢≌)","cot":[{"info":"≮⫘↔1001100011011∺≝⩲≮⫘↔10000010101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1011000111111-≮⫘↔10110001111=≮⫘↔1000010110000","layer":3},{"info":"≮⫘↔10100000≬⋮≮⫘↔1000010110000=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔101110100111⊍⩺⋍≮⫘↔10100001000=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"≮⫘↔1101100100⇴NaN=NaN","layer":1},{"info":"≮⫘↔1111000100111↺≮⫘↔11000110001=≮⫘↔11000110001","layer":3},{"info":"≪≮⫘↔11000110001=≮⫘↔1110010001","layer":2},{"info":"≮⫘↔11100110000⫸⊐≮⫘↔110000011100=≮⫘↔10111111110011","layer":3},{"info":"≮⫘↔10111111110011⩢≌=≮⫘↔1110001","layer":2},{"info":"≮⫘↔1110010001⨔≚≋≮⫘↔1110001=≮⫘↔10011010010000","layer":1},{"info":"NaN⫸⇳≮⫘↔10011010010000=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"⪭⩑⪱((($2489$⋹)⨐⩸⫘$4214$⫒⫫$3795$)⪘⨀)","expression":"⪭⩑⪱(((≮⫘↔100110111001⋹)⨐⩸⫘≮⫘↔1000001110110⫒⫫≮⫘↔111011010011)⪘⨀)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":453,"operation_count":5,"complexity_ratio":90.6,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":2489,"base":2}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4214,"base":2},"right_expr":{"type":"numeric_atoms","value":3795,"base":2}}}}},"used_operators":["SIgE0bArFf","aA7tF3KVD3","fu6greOZ01","opAxDRczMr","6Ko8hGgeMq"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","3ViojmjbAp","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"≮⫘↔11111101111011011110000","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2489","layer":4},{"info":"compute unary expreesion, input=2489, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=4214","layer":4},{"info":"number node, value=3795","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=3795, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":2,"result_base":2,"text":"⪭⩑⪱(((≮⫘↔100110111001⋹)⨐⩸⫘≮⫘↔1000001110110⫒⫫≮⫘↔111011010011)⪘⨀)=≮⫘↔11111101111011011110000","reverse_text":"≮⫘↔11111101111011011110000=⪭⩑⪱(((≮⫘↔100110111001⋹)⨐⩸⫘≮⫘↔1000001110110⫒⫫≮⫘↔111011010011)⪘⨀)","cot":[{"info":"≮⫘↔100110111001⋹=≮⫘↔-10100","layer":3},{"info":"≮⫘↔1000001110110⫒⫫≮⫘↔111011010011=NaN","layer":3},{"info":"≮⫘↔-10100⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN⪘⨀=NaN","layer":1},{"info":"⪭⩑⪱NaN=≮⫘↔11111101111011011110000","layer":0}]}
{"id":227,"expression_no_base_symbol":"((↨$4616$)⪉⨛$5213$⫥∨⫟$1745$)⩷∴($1138$⩷∴$1821$)⩇∃⫛(↥$6929$)⩚⊴⇥($1919$∇⊂⋱$1059$)⩁⩘($2310$⫡⨏$1233$)⨟⋌⩍((⇋↷$3109$)∲⫓$1424$≨$4083$)","expression":"((↨≮⫘↔1001000001000)⪉⨛≮⫘↔1010001011101⫥∨⫟≮⫘↔11011010001)⩷∴(≮⫘↔10001110010⩷∴≮⫘↔11100011101)⩇∃⫛(↥≮⫘↔1101100010001)⩚⊴⇥(≮⫘↔11101111111∇⊂⋱≮⫘↔10000100011)⩁⩘(≮⫘↔100100000110⫡⨏≮⫘↔10011010001)⨟⋌⩍((⇋↷≮⫘↔110000100101)∲⫓≮⫘↔10110010000≨≮⫘↔111111110011)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":623,"operation_count":15,"complexity_ratio":41.53333333333333,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":4616,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5213,"base":2},"right_expr":{"type":"numeric_atoms","value":1745,"base":2}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1138,"base":2},"right_expr":{"type":"numeric_atoms","value":1821,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6929,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1919,"base":2},"right_expr":{"type":"numeric_atoms","value":1059,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2310,"base":2},"right_expr":{"type":"numeric_atoms","value":1233,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":3109,"base":2}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1424,"base":2},"right_expr":{"type":"numeric_atoms","value":4083,"base":2}}}}},"used_operators":["NTOWxs364D","9FxExcQeMw","EWw2JM7wp4","jiX4gk2v2Q","KYD54nUTWz","1aApVXNlOP","A8NUZmVepG","rGHVDoGpnC","gub5Cegaqo","nhYeJWJD5X","QMFrweE19q","i8ToyICDmI","SWo3A1KBJH","0KMCeP1Jsh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rGHVDoGpnC","oZj3VtZNQx","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","DpFCA1CohY","IWmyXbctLI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4616","layer":4},{"info":"compute unary expreesion, input=4616, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=5213","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=5213, right_input=1745, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1821, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1398","layer":3},{"info":"number node, value=6929","layer":4},{"info":"compute unary expreesion, input=6929, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":3},{"info":"compute binary expreesion, left_input=-1398, right_input=44, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-1398","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1398, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1919","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=1059, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3292","layer":3},{"info":"number node, value=2310","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=1233, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14799","layer":3},{"info":"compute binary expreesion, left_input=3292, right_input=14799, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=60144","layer":2},{"info":"number node, value=3109","layer":4},{"info":"compute unary expreesion, input=3109, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=24872","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=4083","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=4083, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-11764","layer":3},{"info":"compute binary expreesion, left_input=24872, right_input=-11764, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=24872","layer":2},{"info":"compute binary expreesion, left_input=60144, right_input=24872, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↨≮⫘↔1001000001000)⪉⨛≮⫘↔1010001011101⫥∨⫟≮⫘↔11011010001)⩷∴(≮⫘↔10001110010⩷∴≮⫘↔11100011101)⩇∃⫛(↥≮⫘↔1101100010001)⩚⊴⇥(≮⫘↔11101111111∇⊂⋱≮⫘↔10000100011)⩁⩘(≮⫘↔100100000110⫡⨏≮⫘↔10011010001)⨟⋌⩍((⇋↷≮⫘↔110000100101)∲⫓≮⫘↔10110010000≨≮⫘↔111111110011)=NaN","reverse_text":"NaN=((↨≮⫘↔1001000001000)⪉⨛≮⫘↔1010001011101⫥∨⫟≮⫘↔11011010001)⩷∴(≮⫘↔10001110010⩷∴≮⫘↔11100011101)⩇∃⫛(↥≮⫘↔1101100010001)⩚⊴⇥(≮⫘↔11101111111∇⊂⋱≮⫘↔10000100011)⩁⩘(≮⫘↔100100000110⫡⨏≮⫘↔10011010001)⨟⋌⩍((⇋↷≮⫘↔110000100101)∲⫓≮⫘↔10110010000≨≮⫘↔111111110011)","cot":[{"info":"↨≮⫘↔1001000001000=NaN","layer":3},{"info":"≮⫘↔1010001011101⫥∨⫟≮⫘↔11011010001=NaN","layer":3},{"info":"NaN⪉⨛NaN=NaN","layer":2},{"info":"≮⫘↔10001110010⩷∴≮⫘↔11100011101=≮⫘↔-10101110110","layer":3},{"info":"↥≮⫘↔1101100010001=≮⫘↔101100","layer":3},{"info":"≮⫘↔-10101110110⩇∃⫛≮⫘↔101100=≮⫘↔-10101110110","layer":2},{"info":"NaN⩷∴≮⫘↔-10101110110=NaN","layer":1},{"info":"≮⫘↔11101111111∇⊂⋱≮⫘↔10000100011=≮⫘↔110011011100","layer":3},{"info":"≮⫘↔100100000110⫡⨏≮⫘↔10011010001=≮⫘↔11100111001111","layer":3},{"info":"≮⫘↔110011011100⩁⩘≮⫘↔11100111001111=≮⫘↔1110101011110000","layer":2},{"info":"⇋↷≮⫘↔110000100101=≮⫘↔110000100101000","layer":3},{"info":"≮⫘↔10110010000≨≮⫘↔111111110011=≮⫘↔-10110111110100","layer":3},{"info":"≮⫘↔110000100101000∲⫓≮⫘↔-10110111110100=≮⫘↔110000100101000","layer":2},{"info":"≮⫘↔1110101011110000⨟⋌⩍≮⫘↔110000100101000=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"⪁⇼((≻⋜$2521$)≌$6392$⊕∕$2060$⊍⩺⋍(↽≂($4303$↡⊰⫅$6117$)))","expression":"⪁⇼((≻⋜≮⫘↔100111011001)≌≮⫘↔1100011111000⊕∕≮⫘↔100000001100⊍⩺⋍(↽≂(≮⫘↔1000011001111↡⊰⫅≮⫘↔1011111100101)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":106729,"operation_count":7,"complexity_ratio":15247.0,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2521,"base":2}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":6392,"base":2},"right_expr":{"type":"numeric_atoms","value":2060,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4303,"base":2},"right_expr":{"type":"numeric_atoms","value":6117,"base":2}}}}},"used_operators":["ZNVVrZ94lY","OXDGMFPWZM","lyWz822IDG","3tj9sqzovi","9cloC0Ngie","u6S6b8DprG","VCtxkLNOzz"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2521","layer":4},{"info":"compute unary expreesion, input=2521, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=6392","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=6392, right_input=2060, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=6392","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6392, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=4303","layer":4},{"info":"number node, value=6117","layer":4},{"info":"compute binary expreesion, left_input=4303, right_input=6117, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=12234","layer":3},{"info":"compute unary expreesion, input=12234, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-24468","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24468, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪁⇼((≻⋜≮⫘↔100111011001)≌≮⫘↔1100011111000⊕∕≮⫘↔100000001100⊍⩺⋍(↽≂(≮⫘↔1000011001111↡⊰⫅≮⫘↔1011111100101)))=NaN","reverse_text":"NaN=⪁⇼((≻⋜≮⫘↔100111011001)≌≮⫘↔1100011111000⊕∕≮⫘↔100000001100⊍⩺⋍(↽≂(≮⫘↔1000011001111↡⊰⫅≮⫘↔1011111100101)))","cot":[{"info":"≻⋜≮⫘↔100111011001=NaN","layer":3},{"info":"≮⫘↔1100011111000⊕∕≮⫘↔100000001100=≮⫘↔1100011111000","layer":3},{"info":"NaN≌≮⫘↔1100011111000=NaN","layer":2},{"info":"≮⫘↔1000011001111↡⊰⫅≮⫘↔1011111100101=≮⫘↔10111111001010","layer":3},{"info":"↽≂≮⫘↔10111111001010=≮⫘↔-101111110010100","layer":2},{"info":"NaN⊍⩺⋍≮⫘↔-101111110010100=NaN","layer":1},{"info":"⪁⇼NaN=NaN","layer":0}]}
{"id":229,"expression_no_base_symbol":"↑((⇵⪽($1334$⋅⇍$1502$))⩁⩘(($5726$/$8655$)≓∲(∑⇻≧$8156$)))","expression":"↑((⇵⪽(≮⫘↔10100110110⋅⇍≮⫘↔10111011110))⩁⩘((≮⫘↔1011001011110/≮⫘↔10000111001111)≓∲(∑⇻≧≮⫘↔1111111011100)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":594,"operation_count":7,"complexity_ratio":84.85714285714286,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1334,"base":2},"right_expr":{"type":"numeric_atoms","value":1502,"base":2}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5726,"base":2},"right_expr":{"type":"numeric_atoms","value":8655,"base":2}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":8156,"base":2}}}}},"used_operators":["tR7O2zTn5j","gub5Cegaqo","ZGCBLdVRRX","AdZkA7nFnk","s1XTVnmDOJ","XhwjNDsVaA","l1M9WJ3V7u"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DpFCA1CohY","IWmyXbctLI","U7g4x0WXJJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1334","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1502, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=5726","layer":4},{"info":"number node, value=8655","layer":4},{"info":"compute binary expreesion, left_input=5726, right_input=8655, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=8156","layer":4},{"info":"compute unary expreesion, input=8156, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-852, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=24493","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24493, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↑((⇵⪽(≮⫘↔10100110110⋅⇍≮⫘↔10111011110))⩁⩘((≮⫘↔1011001011110/≮⫘↔10000111001111)≓∲(∑⇻≧≮⫘↔1111111011100)))=NaN","reverse_text":"NaN=↑((⇵⪽(≮⫘↔10100110110⋅⇍≮⫘↔10111011110))⩁⩘((≮⫘↔1011001011110/≮⫘↔10000111001111)≓∲(∑⇻≧≮⫘↔1111111011100)))","cot":[{"info":"≮⫘↔10100110110⋅⇍≮⫘↔10111011110=≮⫘↔-10110","layer":3},{"info":"⇵⪽≮⫘↔-10110=NaN","layer":2},{"info":"≮⫘↔1011001011110/≮⫘↔10000111001111=≮⫘↔0","layer":3},{"info":"∑⇻≧≮⫘↔1111111011100=≮⫘↔-1101010100","layer":3},{"info":"≮⫘↔0≓∲≮⫘↔-1101010100=≮⫘↔101111110101101","layer":2},{"info":"NaN⩁⩘≮⫘↔101111110101101=NaN","layer":1},{"info":"↑NaN=NaN","layer":0}]}
{"id":230,"expression_no_base_symbol":"(($2068$⪝$1698$⪎⩰)≃($6750$⫁$4093$⨴∎))∘(($5349$⪘⨀)⫦⪉$1539$⪒⊣⊆$4493$↸($3566$⪉⨛$1221$)⩚⊴⇥($1735$+⇶⊼$2677$))","expression":"((≮⫘↔100000010100⪝≮⫘↔11010100010⪎⩰)≃(≮⫘↔1101001011110⫁≮⫘↔111111111101⨴∎))∘((≮⫘↔1010011100101⪘⨀)⫦⪉≮⫘↔11000000011⪒⊣⊆≮⫘↔1000110001101↸(≮⫘↔110111101110⪉⨛≮⫘↔10011000101)⩚⊴⇥(≮⫘↔11011000111+⇶⊼≮⫘↔101001110101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27400,"operation_count":13,"complexity_ratio":2107.6923076923076,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2068,"base":2},"right_expr":{"type":"numeric_atoms","value":1698,"base":2}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6750,"base":2},"right_expr":{"type":"numeric_atoms","value":4093,"base":2}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":5349,"base":2}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1539,"base":2},"right_expr":{"type":"numeric_atoms","value":4493,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3566,"base":2},"right_expr":{"type":"numeric_atoms","value":1221,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1735,"base":2},"right_expr":{"type":"numeric_atoms","value":2677,"base":2}}}}},"used_operators":["Z5m6OM72h2","YbVcJGFEVW","2ufhKmSs5H","wicAB68Tmb","CpSg5vQTgA","0ajvFaJAv0","1eCjFl0mb9","wscyQdcy20","aA7tF3KVD3","eRqsBgTDFp","NTOWxs364D","EWw2JM7wp4","TpPTUOHfaN"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","cHh1gJQ2o6","AHs5Up7iyr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AHs5Up7iyr"],"result":"≮⫘↔10011001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2068","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=1698, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1879","layer":3},{"info":"compute unary expreesion, input=-1879, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-50061","layer":2},{"info":"number node, value=6750","layer":4},{"info":"number node, value=4093","layer":4},{"info":"compute binary expreesion, left_input=6750, right_input=4093, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=-163","layer":2},{"info":"compute binary expreesion, left_input=-50061, right_input=-163, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=612","layer":1},{"info":"number node, value=5349","layer":4},{"info":"compute unary expreesion, input=5349, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-11279","layer":3},{"info":"number node, value=1539","layer":4},{"info":"number node, value=4493","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=4493, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3078","layer":3},{"info":"compute binary expreesion, left_input=-11279, right_input=3078, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=26396","layer":2},{"info":"number node, value=3566","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=3566, right_input=1221, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=9692","layer":3},{"info":"number node, value=1735","layer":4},{"info":"number node, value=2677","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=2677, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9692, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26396, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=26396","layer":1},{"info":"compute binary expreesion, left_input=612, right_input=26396, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=1224","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100000010100⪝≮⫘↔11010100010⪎⩰)≃(≮⫘↔1101001011110⫁≮⫘↔111111111101⨴∎))∘((≮⫘↔1010011100101⪘⨀)⫦⪉≮⫘↔11000000011⪒⊣⊆≮⫘↔1000110001101↸(≮⫘↔110111101110⪉⨛≮⫘↔10011000101)⩚⊴⇥(≮⫘↔11011000111+⇶⊼≮⫘↔101001110101))=≮⫘↔10011001000","reverse_text":"≮⫘↔10011001000=((≮⫘↔100000010100⪝≮⫘↔11010100010⪎⩰)≃(≮⫘↔1101001011110⫁≮⫘↔111111111101⨴∎))∘((≮⫘↔1010011100101⪘⨀)⫦⪉≮⫘↔11000000011⪒⊣⊆≮⫘↔1000110001101↸(≮⫘↔110111101110⪉⨛≮⫘↔10011000101)⩚⊴⇥(≮⫘↔11011000111+⇶⊼≮⫘↔101001110101))","cot":[{"info":"≮⫘↔100000010100⪝≮⫘↔11010100010=≮⫘↔-11101010111","layer":3},{"info":"≮⫘↔-11101010111⪎⩰=≮⫘↔-1100001110001101","layer":2},{"info":"≮⫘↔1101001011110⫁≮⫘↔111111111101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⨴∎=≮⫘↔-10100011","layer":2},{"info":"≮⫘↔-1100001110001101≃≮⫘↔-10100011=≮⫘↔1001100100","layer":1},{"info":"≮⫘↔1010011100101⪘⨀=≮⫘↔-10110000001111","layer":3},{"info":"≮⫘↔11000000011⪒⊣⊆≮⫘↔1000110001101=≮⫘↔110000000110","layer":3},{"info":"≮⫘↔-10110000001111⫦⪉≮⫘↔110000000110=≮⫘↔110011100011100","layer":2},{"info":"≮⫘↔110111101110⪉⨛≮⫘↔10011000101=≮⫘↔10010111011100","layer":3},{"info":"≮⫘↔11011000111+⇶⊼≮⫘↔101001110101=NaN","layer":3},{"info":"≮⫘↔10010111011100⩚⊴⇥NaN=NaN","layer":2},{"info":"≮⫘↔110011100011100↸NaN=≮⫘↔110011100011100","layer":1},{"info":"≮⫘↔1001100100∘≮⫘↔110011100011100=≮⫘↔10011001000","layer":0}]}
{"id":231,"expression_no_base_symbol":"(($1216$⪍↜⋙$3487$)⪭($3611$⪚⩙≫)⪒(⊢≑≆($2124$⩧⪆$6640$)))⪔($2243$⩼⇪↪$1387$⊴($2208$⨵⪆$5964$)⨹)","expression":"((≮⫘↔10011000000⪍↜⋙≮⫘↔110110011111)⪭(≮⫘↔111000011011⪚⩙≫)⪒(⊢≑≆(≮⫘↔100001001100⩧⪆≮⫘↔1100111110000)))⪔(≮⫘↔100011000011⩼⇪↪≮⫘↔10101101011⊴(≮⫘↔100010100000⨵⪆≮⫘↔1011101001100)⨹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7489,"operation_count":11,"complexity_ratio":680.8181818181819,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1216,"base":2},"right_expr":{"type":"numeric_atoms","value":3487,"base":2}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":3611,"base":2}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2124,"base":2},"right_expr":{"type":"numeric_atoms","value":6640,"base":2}}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2243,"base":2},"right_expr":{"type":"numeric_atoms","value":1387,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2208,"base":2},"right_expr":{"type":"numeric_atoms","value":5964,"base":2}}}}},"used_operators":["GjBEYRfMaF","f6k1SAg4EE","j9kHMeSvPp","L05ObWFQCd","4n53wtyJvv","27wFxooxGf","Ikt5ks8PT7","UnCoSGIALn","Nsiff2A1zJ","ocnLzx9CaJ","2DQ55sFlQl"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","t8gj7n24qd","mp7IySMOzn","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":4},{"info":"number node, value=3487","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=3487, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-13837","layer":3},{"info":"number node, value=3611","layer":4},{"info":"compute unary expreesion, input=3611, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13837, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=13663","layer":2},{"info":"number node, value=2124","layer":4},{"info":"number node, value=6640","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=6640, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6640","layer":3},{"info":"compute unary expreesion, input=-6640, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=13473","layer":2},{"info":"compute binary expreesion, left_input=13663, right_input=13473, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-27136","layer":1},{"info":"number node, value=2243","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=1387, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6006","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=5964","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=5964, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-6006, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-27136, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011000000⪍↜⋙≮⫘↔110110011111)⪭(≮⫘↔111000011011⪚⩙≫)⪒(⊢≑≆(≮⫘↔100001001100⩧⪆≮⫘↔1100111110000)))⪔(≮⫘↔100011000011⩼⇪↪≮⫘↔10101101011⊴(≮⫘↔100010100000⨵⪆≮⫘↔1011101001100)⨹)=NaN","reverse_text":"NaN=((≮⫘↔10011000000⪍↜⋙≮⫘↔110110011111)⪭(≮⫘↔111000011011⪚⩙≫)⪒(⊢≑≆(≮⫘↔100001001100⩧⪆≮⫘↔1100111110000)))⪔(≮⫘↔100011000011⩼⇪↪≮⫘↔10101101011⊴(≮⫘↔100010100000⨵⪆≮⫘↔1011101001100)⨹)","cot":[{"info":"≮⫘↔10011000000⪍↜⋙≮⫘↔110110011111=≮⫘↔-11011000001101","layer":3},{"info":"≮⫘↔111000011011⪚⩙≫=NaN","layer":3},{"info":"≮⫘↔-11011000001101⪭NaN=≮⫘↔11010101011111","layer":2},{"info":"≮⫘↔100001001100⩧⪆≮⫘↔1100111110000=≮⫘↔-1100111110000","layer":3},{"info":"⊢≑≆≮⫘↔-1100111110000=≮⫘↔11010010100001","layer":2},{"info":"≮⫘↔11010101011111⪒≮⫘↔11010010100001=≮⫘↔-110101000000000","layer":1},{"info":"≮⫘↔100011000011⩼⇪↪≮⫘↔10101101011=≮⫘↔-1011101110110","layer":3},{"info":"≮⫘↔100010100000⨵⪆≮⫘↔1011101001100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1011101110110⊴≮⫘↔10100000=NaN","layer":2},{"info":"NaN⨹=NaN","layer":1},{"info":"≮⫘↔-110101000000000⪔NaN=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"($1918$⩌⋺$7144$≚⊃≕($1814$≠≀$1756$)↙(∐⩳⋚(⇖$6192$)))⋩≍≻","expression":"(≮⫘↔11101111110⩌⋺≮⫘↔1101111101000≚⊃≕(≮⫘↔11100010110≠≀≮⫘↔11011011100)↙(∐⩳⋚(⇖≮⫘↔1100000110000)))⋩≍≻","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":160,"operation_count":7,"complexity_ratio":22.857142857142858,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1918,"base":2},"right_expr":{"type":"numeric_atoms","value":7144,"base":2}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1814,"base":2},"right_expr":{"type":"numeric_atoms","value":1756,"base":2}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":6192,"base":2}}}}},"used_operators":["WYd1w68Nbz","yyfyN0ffXY","Bmrmz2XGnR","g7Hmc5v1ko","IwW236VD4Y","SL6IHkK8vl","tfWHHpNKUN"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","2DQ55sFlQl"],"result":"≮⫘↔-101010011001100001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1918","layer":4},{"info":"number node, value=7144","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=7144, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-9183","layer":3},{"info":"number node, value=1814","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=1756, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3322","layer":3},{"info":"compute binary expreesion, left_input=-9183, right_input=-3322, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-43542","layer":2},{"info":"number node, value=6192","layer":4},{"info":"compute unary expreesion, input=6192, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=5777","layer":2},{"info":"compute binary expreesion, left_input=-43542, right_input=5777, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-43542","layer":1},{"info":"compute unary expreesion, input=-43542, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-173665","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11101111110⩌⋺≮⫘↔1101111101000≚⊃≕(≮⫘↔11100010110≠≀≮⫘↔11011011100)↙(∐⩳⋚(⇖≮⫘↔1100000110000)))⋩≍≻=≮⫘↔-101010011001100001","reverse_text":"≮⫘↔-101010011001100001=(≮⫘↔11101111110⩌⋺≮⫘↔1101111101000≚⊃≕(≮⫘↔11100010110≠≀≮⫘↔11011011100)↙(∐⩳⋚(⇖≮⫘↔1100000110000)))⋩≍≻","cot":[{"info":"≮⫘↔11101111110⩌⋺≮⫘↔1101111101000=≮⫘↔-10001111011111","layer":3},{"info":"≮⫘↔11100010110≠≀≮⫘↔11011011100=≮⫘↔-110011111010","layer":3},{"info":"≮⫘↔-10001111011111≚⊃≕≮⫘↔-110011111010=≮⫘↔-1010101000010110","layer":2},{"info":"⇖≮⫘↔1100000110000=≮⫘↔10100000","layer":3},{"info":"∐⩳⋚≮⫘↔10100000=≮⫘↔1011010010001","layer":2},{"info":"≮⫘↔-1010101000010110↙≮⫘↔1011010010001=≮⫘↔-1010101000010110","layer":1},{"info":"≮⫘↔-1010101000010110⋩≍≻=≮⫘↔-101010011001100001","layer":0}]}
{"id":233,"expression_no_base_symbol":"(($4122$⪥$6478$)⊢($7237$≹⇙⪍$1979$)∼($2563$⨳⩥⨓$4057$)∘($2416$∠↢$1230$))⩘","expression":"((≮⫘↔1000000011010⪥≮⫘↔1100101001110)⊢(≮⫘↔1110001000101≹⇙⪍≮⫘↔11110111011)∼(≮⫘↔101000000011⨳⩥⨓≮⫘↔111111011001)∘(≮⫘↔100101110000∠↢≮⫘↔10011001110))⩘","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":942,"operation_count":8,"complexity_ratio":117.75,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4122,"base":2},"right_expr":{"type":"numeric_atoms","value":6478,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7237,"base":2},"right_expr":{"type":"numeric_atoms","value":1979,"base":2}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2563,"base":2},"right_expr":{"type":"numeric_atoms","value":4057,"base":2}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2416,"base":2},"right_expr":{"type":"numeric_atoms","value":1230,"base":2}}}}},"used_operators":["wvHyciQT5X","DyGG3AbaNP","5twsqlHp2o","QbnwKVWMIQ","AHs5Up7iyr","Z5m6OM72h2","nCS4ZIUYfx","KbjG8mgYpV"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4122","layer":4},{"info":"number node, value=6478","layer":4},{"info":"compute binary expreesion, left_input=4122, right_input=6478, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=21140","layer":3},{"info":"number node, value=7237","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=7237, right_input=1979, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=21140, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-42524","layer":2},{"info":"number node, value=2563","layer":4},{"info":"number node, value=4057","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=4057, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1494","layer":3},{"info":"number node, value=2416","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1230, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-25802","layer":3},{"info":"compute binary expreesion, left_input=1494, right_input=-25802, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-1114","layer":2},{"info":"compute binary expreesion, left_input=-42524, right_input=-1114, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000000011010⪥≮⫘↔1100101001110)⊢(≮⫘↔1110001000101≹⇙⪍≮⫘↔11110111011)∼(≮⫘↔101000000011⨳⩥⨓≮⫘↔111111011001)∘(≮⫘↔100101110000∠↢≮⫘↔10011001110))⩘=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔1000000011010⪥≮⫘↔1100101001110)⊢(≮⫘↔1110001000101≹⇙⪍≮⫘↔11110111011)∼(≮⫘↔101000000011⨳⩥⨓≮⫘↔111111011001)∘(≮⫘↔100101110000∠↢≮⫘↔10011001110))⩘","cot":[{"info":"≮⫘↔1000000011010⪥≮⫘↔1100101001110=≮⫘↔101001010010100","layer":3},{"info":"≮⫘↔1110001000101≹⇙⪍≮⫘↔11110111011=NaN","layer":3},{"info":"≮⫘↔101001010010100⊢NaN=≮⫘↔-1010011000011100","layer":2},{"info":"≮⫘↔101000000011⨳⩥⨓≮⫘↔111111011001=≮⫘↔10111010110","layer":3},{"info":"≮⫘↔100101110000∠↢≮⫘↔10011001110=≮⫘↔-110010011001010","layer":3},{"info":"≮⫘↔10111010110∘≮⫘↔-110010011001010=≮⫘↔-10001011010","layer":2},{"info":"≮⫘↔-1010011000011100∼≮⫘↔-10001011010=NaN","layer":1},{"info":"NaN⩘=≮⫘↔1000011","layer":0}]}
{"id":234,"expression_no_base_symbol":"⪸(($1433$≥⨤⩑$4421$)⩖⊿($2701$∌↝$1243$)⇄($1877$⫥∨⫟$2243$≣⋋))","expression":"⪸((≮⫘↔10110011001≥⨤⩑≮⫘↔1000101000101)⩖⊿(≮⫘↔101010001101∌↝≮⫘↔10011011011)⇄(≮⫘↔11101010101⫥∨⫟≮⫘↔100011000011≣⋋))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":248,"operation_count":7,"complexity_ratio":35.42857142857143,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1433,"base":2},"right_expr":{"type":"numeric_atoms","value":4421,"base":2}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2701,"base":2},"right_expr":{"type":"numeric_atoms","value":1243,"base":2}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1877,"base":2},"right_expr":{"type":"numeric_atoms","value":2243,"base":2}}}}},"used_operators":["86A5ENbKR9","3EYGwJThht","RZ5CV9rWsJ","gJLn6v0xnP","9Isq31Ruls","Tcnh7f0tEr","KYD54nUTWz"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1433","layer":4},{"info":"number node, value=4421","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=4421, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2701","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1243, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-5018","layer":2},{"info":"number node, value=1877","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=2243, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5018, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪸((≮⫘↔10110011001≥⨤⩑≮⫘↔1000101000101)⩖⊿(≮⫘↔101010001101∌↝≮⫘↔10011011011)⇄(≮⫘↔11101010101⫥∨⫟≮⫘↔100011000011≣⋋))=NaN","reverse_text":"NaN=⪸((≮⫘↔10110011001≥⨤⩑≮⫘↔1000101000101)⩖⊿(≮⫘↔101010001101∌↝≮⫘↔10011011011)⇄(≮⫘↔11101010101⫥∨⫟≮⫘↔100011000011≣⋋))","cot":[{"info":"≮⫘↔10110011001≥⨤⩑≮⫘↔1000101000101=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔101010001101∌↝≮⫘↔10011011011=≮⫘↔0","layer":3},{"info":"≮⫘↔10011010010⩖⊿≮⫘↔0=≮⫘↔-1001110011010","layer":2},{"info":"≮⫘↔11101010101⫥∨⫟≮⫘↔100011000011=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"≮⫘↔-1001110011010⇄NaN=NaN","layer":1},{"info":"⪸NaN=NaN","layer":0}]}
{"id":235,"expression_no_base_symbol":"⨝⨆($2348$≃$3289$⊍⩺⋍($5007$∷))⇄(($3884$⇆⨓≜)⋭≵$2362$∌$1654$)","expression":"⨝⨆(≮⫘↔100100101100≃≮⫘↔110011011001⊍⩺⋍(≮⫘↔1001110001111∷))⇄((≮⫘↔111100101100⇆⨓≜)⋭≵≮⫘↔100100111010∌≮⫘↔11001110110)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":437,"operation_count":8,"complexity_ratio":54.625,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2348,"base":2},"right_expr":{"type":"numeric_atoms","value":3289,"base":2}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":5007,"base":2}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3884,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2362,"base":2},"right_expr":{"type":"numeric_atoms","value":1654,"base":2}}}}},"used_operators":["bQ67fsrMVf","3EYGwJThht","OXDGMFPWZM","YbVcJGFEVW","nFAOW8KTqp","jBncVCNhdl","KvvgdUaMHJ","8cLx32lpNA"],"dependent_operators":["tifHPKVTfV","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Uaa54Peajs","KYD54nUTWz","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2348","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=3289, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-9432","layer":3},{"info":"number node, value=5007","layer":4},{"info":"compute unary expreesion, input=5007, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=15021","layer":3},{"info":"compute binary expreesion, left_input=-9432, right_input=15021, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=3884","layer":4},{"info":"compute unary expreesion, input=3884, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=2362","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=2362, right_input=1654, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1654","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1654, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨝⨆(≮⫘↔100100101100≃≮⫘↔110011011001⊍⩺⋍(≮⫘↔1001110001111∷))⇄((≮⫘↔111100101100⇆⨓≜)⋭≵≮⫘↔100100111010∌≮⫘↔11001110110)=NaN","reverse_text":"NaN=⨝⨆(≮⫘↔100100101100≃≮⫘↔110011011001⊍⩺⋍(≮⫘↔1001110001111∷))⇄((≮⫘↔111100101100⇆⨓≜)⋭≵≮⫘↔100100111010∌≮⫘↔11001110110)","cot":[{"info":"≮⫘↔100100101100≃≮⫘↔110011011001=≮⫘↔-10010011011000","layer":3},{"info":"≮⫘↔1001110001111∷=≮⫘↔11101010101101","layer":3},{"info":"≮⫘↔-10010011011000⊍⩺⋍≮⫘↔11101010101101=NaN","layer":2},{"info":"≮⫘↔111100101100⇆⨓≜=NaN","layer":3},{"info":"≮⫘↔100100111010∌≮⫘↔11001110110=≮⫘↔-11001110110","layer":3},{"info":"NaN⋭≵≮⫘↔-11001110110=≮⫘↔1000011","layer":2},{"info":"NaN⇄≮⫘↔1000011=NaN","layer":1},{"info":"⨝⨆NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"(($1166$⪨⊡$6107$∝($1888$⫭))⊪)⩹((⩩$4230$)⋻⩜⩜($2430$∷$3070$)⫚↹⊑(⨝⨆($4480$⊪)))","expression":"((≮⫘↔10010001110⪨⊡≮⫘↔1011111011011∝(≮⫘↔11101100000⫭))⊪)⩹((⩩≮⫘↔1000010000110)⋻⩜⩜(≮⫘↔100101111110∷≮⫘↔101111111110)⫚↹⊑(⨝⨆(≮⫘↔1000110000000⊪)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48266,"operation_count":11,"complexity_ratio":4387.818181818182,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1166,"base":2},"right_expr":{"type":"numeric_atoms","value":6107,"base":2}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1888,"base":2}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4230,"base":2}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2430,"base":2},"right_expr":{"type":"numeric_atoms","value":3070,"base":2}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4480,"base":2}}}}},"used_operators":["2Wsdkap16l","zVYPLywUTj","cTDWOvIxvz","kuIXHzHcAH","t4WUHVGj7f","dfKe02y8D2","oDCm7WA9JY","kMhfGuqI2H","D3AQDKkPcf","bQ67fsrMVf"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9FxExcQeMw","NTOWxs364D","7j4O788W3g","tifHPKVTfV"],"result":"≮⫘↔-111000001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"number node, value=6107","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=6107, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1888","layer":4},{"info":"compute unary expreesion, input=1888, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=5905","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5905, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5","layer":2},{"info":"compute unary expreesion, input=5, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=4230","layer":4},{"info":"compute unary expreesion, input=4230, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=2430","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=3070, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3070","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3070, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=4480","layer":4},{"info":"compute unary expreesion, input=4480, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-209","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-209, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-449","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010001110⪨⊡≮⫘↔1011111011011∝(≮⫘↔11101100000⫭))⊪)⩹((⩩≮⫘↔1000010000110)⋻⩜⩜(≮⫘↔100101111110∷≮⫘↔101111111110)⫚↹⊑(⨝⨆(≮⫘↔1000110000000⊪)))=≮⫘↔-111000001","reverse_text":"≮⫘↔-111000001=((≮⫘↔10010001110⪨⊡≮⫘↔1011111011011∝(≮⫘↔11101100000⫭))⊪)⩹((⩩≮⫘↔1000010000110)⋻⩜⩜(≮⫘↔100101111110∷≮⫘↔101111111110)⫚↹⊑(⨝⨆(≮⫘↔1000110000000⊪)))","cot":[{"info":"≮⫘↔10010001110⪨⊡≮⫘↔1011111011011=≮⫘↔0","layer":3},{"info":"≮⫘↔11101100000⫭=≮⫘↔1011100010001","layer":3},{"info":"≮⫘↔0∝≮⫘↔1011100010001=≮⫘↔101","layer":2},{"info":"≮⫘↔101⊪=≮⫘↔0","layer":1},{"info":"⩩≮⫘↔1000010000110=NaN","layer":3},{"info":"≮⫘↔100101111110∷≮⫘↔101111111110=≮⫘↔101111111110","layer":3},{"info":"NaN⋻⩜⩜≮⫘↔101111111110=NaN","layer":2},{"info":"≮⫘↔1000110000000⊪=≮⫘↔0","layer":3},{"info":"⨝⨆≮⫘↔0=≮⫘↔-11010001","layer":2},{"info":"NaN⫚↹⊑≮⫘↔-11010001=≮⫘↔-110111111","layer":1},{"info":"≮⫘↔0⩹≮⫘↔-110111111=≮⫘↔-111000001","layer":0}]}
{"id":237,"expression_no_base_symbol":"(⨵≀≌($5017$⋭≵$2440$⫚↹⊑(⇵⪽$1582$)))⪍↜⋙($5061$⩌⋺$7882$⇍⊗$4619$→⨶⪴$4224$)⩖⊿($1331$⇂≾⫗$1095$≝⊰⇂)","expression":"(⨵≀≌(≮⫘↔1001110011001⋭≵≮⫘↔100110001000⫚↹⊑(⇵⪽≮⫘↔11000101110)))⪍↜⋙(≮⫘↔1001111000101⩌⋺≮⫘↔1111011001010⇍⊗≮⫘↔1001000001011→⨶⪴≮⫘↔1000010000000)⩖⊿(≮⫘↔10100110011⇂≾⫗≮⫘↔10001000111≝⊰⇂)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1094,"operation_count":11,"complexity_ratio":99.45454545454545,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5017,"base":2},"right_expr":{"type":"numeric_atoms","value":2440,"base":2}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1582,"base":2}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5061,"base":2},"right_expr":{"type":"numeric_atoms","value":7882,"base":2}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4619,"base":2},"right_expr":{"type":"numeric_atoms","value":4224,"base":2}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1331,"base":2},"right_expr":{"type":"numeric_atoms","value":1095,"base":2}}}}},"used_operators":["L05ObWFQCd","srAu1WTS94","dfKe02y8D2","jBncVCNhdl","ZGCBLdVRRX","RZ5CV9rWsJ","5uvYHDjeKN","g7Hmc5v1ko","bF6eod5Gvf","htSmYCowi5","aBQ6xLxuTc"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","U7g4x0WXJJ","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","DlLNRPXxWL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≮⫘↔1011111001011010110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5017","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=5017, right_input=2440, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=199809","layer":1},{"info":"number node, value=5061","layer":4},{"info":"number node, value=7882","layer":4},{"info":"compute binary expreesion, left_input=5061, right_input=7882, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-13064","layer":3},{"info":"number node, value=4619","layer":4},{"info":"number node, value=4224","layer":4},{"info":"compute binary expreesion, left_input=4619, right_input=4224, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-12672","layer":3},{"info":"compute binary expreesion, left_input=-13064, right_input=-12672, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=1331","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1095, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-1486","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-1486, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=4886","layer":1},{"info":"compute binary expreesion, left_input=199809, right_input=4886, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=389846","layer":0}],"base":2,"result_base":2,"text":"(⨵≀≌(≮⫘↔1001110011001⋭≵≮⫘↔100110001000⫚↹⊑(⇵⪽≮⫘↔11000101110)))⪍↜⋙(≮⫘↔1001111000101⩌⋺≮⫘↔1111011001010⇍⊗≮⫘↔1001000001011→⨶⪴≮⫘↔1000010000000)⩖⊿(≮⫘↔10100110011⇂≾⫗≮⫘↔10001000111≝⊰⇂)=≮⫘↔1011111001011010110","reverse_text":"≮⫘↔1011111001011010110=(⨵≀≌(≮⫘↔1001110011001⋭≵≮⫘↔100110001000⫚↹⊑(⇵⪽≮⫘↔11000101110)))⪍↜⋙(≮⫘↔1001111000101⩌⋺≮⫘↔1111011001010⇍⊗≮⫘↔1001000001011→⨶⪴≮⫘↔1000010000000)⩖⊿(≮⫘↔10100110011⇂≾⫗≮⫘↔10001000111≝⊰⇂)","cot":[{"info":"≮⫘↔1001110011001⋭≵≮⫘↔100110001000=≮⫘↔1000011","layer":3},{"info":"⇵⪽≮⫘↔11000101110=NaN","layer":3},{"info":"≮⫘↔1000011⫚↹⊑NaN=≮⫘↔-110111111","layer":2},{"info":"⨵≀≌≮⫘↔-110111111=≮⫘↔110000110010000001","layer":1},{"info":"≮⫘↔1001111000101⩌⋺≮⫘↔1111011001010=≮⫘↔-11001100001000","layer":3},{"info":"≮⫘↔1001000001011→⨶⪴≮⫘↔1000010000000=≮⫘↔-11000110000000","layer":3},{"info":"≮⫘↔-11001100001000⇍⊗≮⫘↔-11000110000000=≮⫘↔-11110100","layer":2},{"info":"≮⫘↔10100110011⇂≾⫗≮⫘↔10001000111=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔-1010100100≝⊰⇂=≮⫘↔-10111001110","layer":2},{"info":"≮⫘↔-11110100⩖⊿≮⫘↔-10111001110=≮⫘↔1001100010110","layer":1},{"info":"≮⫘↔110000110010000001⪍↜⋙≮⫘↔1001100010110=≮⫘↔1011111001011010110","layer":0}]}
{"id":238,"expression_no_base_symbol":"(≅≯⇸$1454$⫥∨⫟$3221$)⨥⫆(⫎≠⋺($1463$⩼⇪↪$2536$))∑⇟⊟((⩷$1252$)⪡($7214$≭$7452$)⩚⊴⇥(⫓⪴(⊖∈$1016$)))","expression":"(≅≯⇸≮⫘↔10110101110⫥∨⫟≮⫘↔110010010101)⨥⫆(⫎≠⋺(≮⫘↔10110110111⩼⇪↪≮⫘↔100111101000))∑⇟⊟((⩷≮⫘↔10011100100)⪡(≮⫘↔1110000101110≭≮⫘↔1110100011100)⩚⊴⇥(⫓⪴(⊖∈≮⫘↔1111111000)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15013,"operation_count":12,"complexity_ratio":1251.0833333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1454,"base":2},"right_expr":{"type":"numeric_atoms","value":3221,"base":2}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1463,"base":2},"right_expr":{"type":"numeric_atoms","value":2536,"base":2}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1252,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7214,"base":2},"right_expr":{"type":"numeric_atoms","value":7452,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1016,"base":2}}}}},"used_operators":["U7g4x0WXJJ","yXekIHxTD4","apS25hmuAe","KYD54nUTWz","LYeZOJ0nQG","ocnLzx9CaJ","NTOWxs364D","oraRL2iQuh","1h0rLqGiFr","rxpJgHHUmx","eLxqMNBOBk","YFxL8Sc2Zy"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","EBcxylXtPf","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","AHs5Up7iyr","9HNa5Wba9A","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1454","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=3221, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":2},{"info":"number node, value=1463","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=2536, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-15609","layer":3},{"info":"compute unary expreesion, input=-15609, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-709, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-15103","layer":3},{"info":"number node, value=7214","layer":4},{"info":"number node, value=7452","layer":4},{"info":"compute binary expreesion, left_input=7214, right_input=7452, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15103, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=31174","layer":2},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=14726","layer":3},{"info":"compute unary expreesion, input=14726, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=216855076","layer":2},{"info":"compute binary expreesion, left_input=31174, right_input=216855076, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-216886371","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-216886371, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≅≯⇸≮⫘↔10110101110⫥∨⫟≮⫘↔110010010101)⨥⫆(⫎≠⋺(≮⫘↔10110110111⩼⇪↪≮⫘↔100111101000))∑⇟⊟((⩷≮⫘↔10011100100)⪡(≮⫘↔1110000101110≭≮⫘↔1110100011100)⩚⊴⇥(⫓⪴(⊖∈≮⫘↔1111111000)))=NaN","reverse_text":"NaN=(≅≯⇸≮⫘↔10110101110⫥∨⫟≮⫘↔110010010101)⨥⫆(⫎≠⋺(≮⫘↔10110110111⩼⇪↪≮⫘↔100111101000))∑⇟⊟((⩷≮⫘↔10011100100)⪡(≮⫘↔1110000101110≭≮⫘↔1110100011100)⩚⊴⇥(⫓⪴(⊖∈≮⫘↔1111111000)))","cot":[{"info":"≮⫘↔10110101110⫥∨⫟≮⫘↔110010010101=NaN","layer":3},{"info":"≅≯⇸NaN=NaN","layer":2},{"info":"≮⫘↔10110110111⩼⇪↪≮⫘↔100111101000=≮⫘↔-11110011111001","layer":3},{"info":"⫎≠⋺≮⫘↔-11110011111001=≮⫘↔-1011000101","layer":2},{"info":"NaN⨥⫆≮⫘↔-1011000101=NaN","layer":1},{"info":"⩷≮⫘↔10011100100=≮⫘↔-11101011111111","layer":3},{"info":"≮⫘↔1110000101110≭≮⫘↔1110100011100=NaN","layer":3},{"info":"≮⫘↔-11101011111111⪡NaN=≮⫘↔111100111000110","layer":2},{"info":"⊖∈≮⫘↔1111111000=≮⫘↔11100110000110","layer":3},{"info":"⫓⪴≮⫘↔11100110000110=≮⫘↔1100111011001111001000100100","layer":2},{"info":"≮⫘↔111100111000110⩚⊴⇥≮⫘↔1100111011001111001000100100=≮⫘↔-1100111011010110110001100011","layer":1},{"info":"NaN∑⇟⊟≮⫘↔-1100111011010110110001100011=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(↥≼⋛((⩒∊$4931$)⨑≵⋬($5727$⨑≵⋬$3457$)))∖($4822$⫃⨇$1034$)⪘⫢($2062$⋻⩜⩜$2170$)⫥∨⫟(($1989$↸$4071$)↯⫤)","expression":"(↥≼⋛((⩒∊≮⫘↔1001101000011)⨑≵⋬(≮⫘↔1011001011111⨑≵⋬≮⫘↔110110000001)))∖(≮⫘↔1001011010110⫃⨇≮⫘↔10000001010)⪘⫢(≮⫘↔100000001110⋻⩜⩜≮⫘↔100001111010)⫥∨⫟((≮⫘↔11111000101↸≮⫘↔111111100111)↯⫤)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32791,"operation_count":11,"complexity_ratio":2981.0,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4931,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5727,"base":2},"right_expr":{"type":"numeric_atoms","value":3457,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4822,"base":2},"right_expr":{"type":"numeric_atoms","value":1034,"base":2}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2062,"base":2},"right_expr":{"type":"numeric_atoms","value":2170,"base":2}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1989,"base":2},"right_expr":{"type":"numeric_atoms","value":4071,"base":2}}}}},"used_operators":["tXD093vOjl","x5lMkHmzsq","XnXgA4xnOs","qazvmhNBbN","KYD54nUTWz","oacrs7FA3X","09Ly4LVMIf","oDCm7WA9JY","VwlE7vj6HS","1eCjFl0mb9"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4931","layer":4},{"info":"compute unary expreesion, input=4931, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=9105","layer":3},{"info":"number node, value=5727","layer":4},{"info":"number node, value=3457","layer":4},{"info":"compute binary expreesion, left_input=5727, right_input=3457, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=5815","layer":3},{"info":"compute binary expreesion, left_input=9105, right_input=5815, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=6199","layer":2},{"info":"compute unary expreesion, input=6199, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"number node, value=4822","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=4822, right_input=1034, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4168","layer":3},{"info":"number node, value=2062","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=2062, right_input=2170, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4124","layer":3},{"info":"compute binary expreesion, left_input=-4168, right_input=4124, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1989","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=4071, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1989","layer":3},{"info":"compute unary expreesion, input=1989, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(↥≼⋛((⩒∊≮⫘↔1001101000011)⨑≵⋬(≮⫘↔1011001011111⨑≵⋬≮⫘↔110110000001)))∖(≮⫘↔1001011010110⫃⨇≮⫘↔10000001010)⪘⫢(≮⫘↔100000001110⋻⩜⩜≮⫘↔100001111010)⫥∨⫟((≮⫘↔11111000101↸≮⫘↔111111100111)↯⫤)=≮⫘↔0","reverse_text":"≮⫘↔0=(↥≼⋛((⩒∊≮⫘↔1001101000011)⨑≵⋬(≮⫘↔1011001011111⨑≵⋬≮⫘↔110110000001)))∖(≮⫘↔1001011010110⫃⨇≮⫘↔10000001010)⪘⫢(≮⫘↔100000001110⋻⩜⩜≮⫘↔100001111010)⫥∨⫟((≮⫘↔11111000101↸≮⫘↔111111100111)↯⫤)","cot":[{"info":"⩒∊≮⫘↔1001101000011=≮⫘↔10001110010001","layer":3},{"info":"≮⫘↔1011001011111⨑≵⋬≮⫘↔110110000001=≮⫘↔1011010110111","layer":3},{"info":"≮⫘↔10001110010001⨑≵⋬≮⫘↔1011010110111=≮⫘↔1100000110111","layer":2},{"info":"↥≼⋛≮⫘↔1100000110111=≮⫘↔-1110001","layer":1},{"info":"≮⫘↔1001011010110⫃⨇≮⫘↔10000001010=≮⫘↔-1000001001000","layer":3},{"info":"≮⫘↔100000001110⋻⩜⩜≮⫘↔100001111010=≮⫘↔1000000011100","layer":3},{"info":"≮⫘↔-1000001001000⪘⫢≮⫘↔1000000011100=≮⫘↔-1","layer":2},{"info":"≮⫘↔11111000101↸≮⫘↔111111100111=≮⫘↔11111000101","layer":3},{"info":"≮⫘↔11111000101↯⫤=≮⫘↔0","layer":2},{"info":"≮⫘↔-1⫥∨⫟≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔-1110001∖NaN=≮⫘↔0","layer":0}]}
{"id":240,"expression_no_base_symbol":"((($6523$⪛$1143$)⪣⫩)∼(⫟($1409$⊅)))⊬⨰((∤$3868$)⩷∴$5313$⪟⇏$5774$)⪒⊣⊆($2580$⨔⇊$1092$⨓($4897$⪐))","expression":"(((≮⫘↔1100101111011⪛≮⫘↔10001110111)⪣⫩)∼(⫟(≮⫘↔10110000001⊅)))⊬⨰((∤≮⫘↔111100011100)⩷∴≮⫘↔1010011000001⪟⇏≮⫘↔1011010001110)⪒⊣⊆(≮⫘↔101000010100⨔⇊≮⫘↔10001000100⨓(≮⫘↔1001100100001⪐))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10339,"operation_count":13,"complexity_ratio":795.3076923076923,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6523,"base":2},"right_expr":{"type":"numeric_atoms","value":1143,"base":2}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1409,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3868,"base":2}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5313,"base":2},"right_expr":{"type":"numeric_atoms","value":5774,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2580,"base":2},"right_expr":{"type":"numeric_atoms","value":1092,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4897,"base":2}}}}},"used_operators":["s3Fd5m9Dh2","DyGG3AbaNP","iuk5sVOGFA","uFcxV4UQCh","z4E1FaHLuy","7p6YLioM7f","eRqsBgTDFp","9FxExcQeMw","k2HlF1dBQh","GODebY97qR","3ViojmjbAp","JclMnS0uGI","eH2TOUuTDT"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-10011000000110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6523","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=6523, right_input=1143, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=808","layer":3},{"info":"compute unary expreesion, input=808, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=2391","layer":2},{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute unary expreesion, input=-174, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-60","layer":2},{"info":"compute binary expreesion, left_input=2391, right_input=-60, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=3868","layer":4},{"info":"compute unary expreesion, input=3868, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=5313","layer":4},{"info":"number node, value=5774","layer":4},{"info":"compute binary expreesion, left_input=5313, right_input=5774, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-1, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12","layer":2},{"info":"number node, value=2580","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=1092, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1092","layer":3},{"info":"number node, value=4897","layer":4},{"info":"compute unary expreesion, input=4897, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9794","layer":3},{"info":"compute binary expreesion, left_input=1092, right_input=9794, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9797","layer":2},{"info":"compute binary expreesion, left_input=-12, right_input=-9797, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-19468","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-19468, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-77872","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1100101111011⪛≮⫘↔10001110111)⪣⫩)∼(⫟(≮⫘↔10110000001⊅)))⊬⨰((∤≮⫘↔111100011100)⩷∴≮⫘↔1010011000001⪟⇏≮⫘↔1011010001110)⪒⊣⊆(≮⫘↔101000010100⨔⇊≮⫘↔10001000100⨓(≮⫘↔1001100100001⪐))=≮⫘↔-10011000000110000","reverse_text":"≮⫘↔-10011000000110000=(((≮⫘↔1100101111011⪛≮⫘↔10001110111)⪣⫩)∼(⫟(≮⫘↔10110000001⊅)))⊬⨰((∤≮⫘↔111100011100)⩷∴≮⫘↔1010011000001⪟⇏≮⫘↔1011010001110)⪒⊣⊆(≮⫘↔101000010100⨔⇊≮⫘↔10001000100⨓(≮⫘↔1001100100001⪐))","cot":[{"info":"≮⫘↔1100101111011⪛≮⫘↔10001110111=≮⫘↔1100101000","layer":3},{"info":"≮⫘↔1100101000⪣⫩=≮⫘↔100101010111","layer":2},{"info":"≮⫘↔10110000001⊅=≮⫘↔-10101110","layer":3},{"info":"⫟≮⫘↔-10101110=≮⫘↔-111100","layer":2},{"info":"≮⫘↔100101010111∼≮⫘↔-111100=≮⫘↔0","layer":1},{"info":"∤≮⫘↔111100011100=≮⫘↔1001","layer":3},{"info":"≮⫘↔1010011000001⪟⇏≮⫘↔1011010001110=≮⫘↔-1","layer":3},{"info":"≮⫘↔1001⩷∴≮⫘↔-1=≮⫘↔-1100","layer":2},{"info":"≮⫘↔101000010100⨔⇊≮⫘↔10001000100=≮⫘↔10001000100","layer":3},{"info":"≮⫘↔1001100100001⪐=≮⫘↔10011001000010","layer":3},{"info":"≮⫘↔10001000100⨓≮⫘↔10011001000010=≮⫘↔-10011001000101","layer":2},{"info":"≮⫘↔-1100⪒⊣⊆≮⫘↔-10011001000101=≮⫘↔-100110000001100","layer":1},{"info":"≮⫘↔0⊬⨰≮⫘↔-100110000001100=≮⫘↔-10011000000110000","layer":0}]}
{"id":241,"expression_no_base_symbol":"$2646$⨪↰⇹$3253$⪕($2038$⇼⇔∾$1178$)⫸⊐$5802$⇂≾⫗$4826$⩖⊿(⋂$1550$)%(⩷($1591$≧⫂∧$5800$))⊹∫⫚(∟⋨(⪲⇎$4325$))","expression":"≮⫘↔101001010110⨪↰⇹≮⫘↔110010110101⪕(≮⫘↔11111110110⇼⇔∾≮⫘↔10010011010)⫸⊐≮⫘↔1011010101010⇂≾⫗≮⫘↔1001011011010⩖⊿(⋂≮⫘↔11000001110)%(⩷(≮⫘↔11000110111≧⫂∧≮⫘↔1011010101000))⊹∫⫚(∟⋨(⪲⇎≮⫘↔1000011100101))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12454,"operation_count":13,"complexity_ratio":958.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2646,"base":2},"right_expr":{"type":"numeric_atoms","value":3253,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2038,"base":2},"right_expr":{"type":"numeric_atoms","value":1178,"base":2}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5802,"base":2},"right_expr":{"type":"numeric_atoms","value":4826,"base":2}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1550,"base":2}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1591,"base":2},"right_expr":{"type":"numeric_atoms","value":5800,"base":2}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4325,"base":2}}}}},"used_operators":["k8jYdgA6NY","mqXw5SEYmG","umQnsF7QlU","tmPS8pqC7x","tifHPKVTfV","RZ5CV9rWsJ","aBQ6xLxuTc","BUOGQAYlQx","uWAJUKEvyW","1h0rLqGiFr","Ph9nP6C5qx","ctOc4cKSDt","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-1010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2646","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=3253, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2646","layer":3},{"info":"number node, value=2038","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=1178, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-860","layer":3},{"info":"compute binary expreesion, left_input=2646, right_input=-860, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=5802","layer":4},{"info":"number node, value=4826","layer":4},{"info":"compute binary expreesion, left_input=5802, right_input=4826, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-21104","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-21104, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=44122","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=44122, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=176363","layer":1},{"info":"number node, value=1591","layer":4},{"info":"number node, value=5800","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=5800, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5327","layer":3},{"info":"compute unary expreesion, input=5327, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-64003","layer":2},{"info":"number node, value=4325","layer":4},{"info":"compute unary expreesion, input=4325, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8650","layer":3},{"info":"compute unary expreesion, input=8650, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-8166","layer":2},{"info":"compute binary expreesion, left_input=-64003, right_input=-8166, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-192","layer":1},{"info":"compute binary expreesion, left_input=176363, right_input=-192, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-85","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔101001010110⨪↰⇹≮⫘↔110010110101⪕(≮⫘↔11111110110⇼⇔∾≮⫘↔10010011010)⫸⊐≮⫘↔1011010101010⇂≾⫗≮⫘↔1001011011010⩖⊿(⋂≮⫘↔11000001110)%(⩷(≮⫘↔11000110111≧⫂∧≮⫘↔1011010101000))⊹∫⫚(∟⋨(⪲⇎≮⫘↔1000011100101))=≮⫘↔-1010101","reverse_text":"≮⫘↔-1010101=≮⫘↔101001010110⨪↰⇹≮⫘↔110010110101⪕(≮⫘↔11111110110⇼⇔∾≮⫘↔10010011010)⫸⊐≮⫘↔1011010101010⇂≾⫗≮⫘↔1001011011010⩖⊿(⋂≮⫘↔11000001110)%(⩷(≮⫘↔11000110111≧⫂∧≮⫘↔1011010101000))⊹∫⫚(∟⋨(⪲⇎≮⫘↔1000011100101))","cot":[{"info":"≮⫘↔101001010110⨪↰⇹≮⫘↔110010110101=≮⫘↔101001010110","layer":3},{"info":"≮⫘↔11111110110⇼⇔∾≮⫘↔10010011010=≮⫘↔-1101011100","layer":3},{"info":"≮⫘↔101001010110⪕≮⫘↔-1101011100=≮⫘↔1110100111","layer":2},{"info":"≮⫘↔1011010101010⇂≾⫗≮⫘↔1001011011010=≮⫘↔-1010100100","layer":3},{"info":"⋂≮⫘↔11000001110=≮⫘↔-101001001110000","layer":3},{"info":"≮⫘↔-1010100100⩖⊿≮⫘↔-101001001110000=≮⫘↔1010110001011010","layer":2},{"info":"≮⫘↔1110100111⫸⊐≮⫘↔1010110001011010=≮⫘↔101011000011101011","layer":1},{"info":"≮⫘↔11000110111≧⫂∧≮⫘↔1011010101000=≮⫘↔1010011001111","layer":3},{"info":"⩷≮⫘↔1010011001111=≮⫘↔-1111101000000011","layer":2},{"info":"⪲⇎≮⫘↔1000011100101=≮⫘↔10000111001010","layer":3},{"info":"∟⋨≮⫘↔10000111001010=≮⫘↔-1111111100110","layer":2},{"info":"≮⫘↔-1111101000000011⊹∫⫚≮⫘↔-1111111100110=≮⫘↔-11000000","layer":1},{"info":"≮⫘↔101011000011101011%≮⫘↔-11000000=≮⫘↔-1010101","layer":0}]}
{"id":242,"expression_no_base_symbol":"((∨∊⋏($4003$⪪$3988$))⪶≀⋏($1018$≎⊠⪸$1061$)≁↽≥($7523$⩘$5387$))⨜⨶($1949$≴⪞⇿$5443$⪎↠$4871$≁$5951$⇣⩺⋵($2168$⊨$2180$)∴(⩷$1620$))","expression":"((∨∊⋏(≮⫘↔111110100011⪪≮⫘↔111110010100))⪶≀⋏(≮⫘↔1111111010≎⊠⪸≮⫘↔10000100101)≁↽≥(≮⫘↔1110101100011⩘≮⫘↔1010100001011))⨜⨶(≮⫘↔11110011101≴⪞⇿≮⫘↔1010101000011⪎↠≮⫘↔1001100000111≁≮⫘↔1011100111111⇣⩺⋵(≮⫘↔100001111000⊨≮⫘↔100010000100)∴(⩷≮⫘↔11001010100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16509,"operation_count":14,"complexity_ratio":1179.2142857142858,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4003,"base":2},"right_expr":{"type":"numeric_atoms","value":3988,"base":2}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1018,"base":2},"right_expr":{"type":"numeric_atoms","value":1061,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7523,"base":2},"right_expr":{"type":"numeric_atoms","value":5387,"base":2}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1949,"base":2},"right_expr":{"type":"numeric_atoms","value":5443,"base":2}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4871,"base":2},"right_expr":{"type":"numeric_atoms","value":5951,"base":2}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2168,"base":2},"right_expr":{"type":"numeric_atoms","value":2180,"base":2}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1620,"base":2}}}}},"used_operators":["HiPekx5b7W","zR4jO40bMj","R5aXW34M0v","xD69zh8xqp","ncHt1X6cMc","bJkvcejdHO","cHh1gJQ2o6","F4yD0voBRQ","3tVxb0NHM4","lvlrscuwVU","8N2wDY1A35","hrf7POJlIJ","vg4gO5BX6G","1h0rLqGiFr"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","FU0Cs4j7VP","JclMnS0uGI","oWn0xqSxBt","3Oe9XWJUTD","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"≮⫘↔10000010110000110111000101011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4003","layer":4},{"info":"number node, value=3988","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=3988, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-600542","layer":3},{"info":"compute unary expreesion, input=-600542, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-16825665","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1061, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=263189","layer":3},{"info":"number node, value=7523","layer":4},{"info":"number node, value=5387","layer":4},{"info":"compute binary expreesion, left_input=7523, right_input=5387, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=263189, right_input=160, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=3430981","layer":2},{"info":"compute binary expreesion, left_input=-16825665, right_input=3430981, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=27447848","layer":1},{"info":"number node, value=1949","layer":4},{"info":"number node, value=5443","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=5443, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=5618186","layer":3},{"info":"number node, value=4871","layer":4},{"info":"number node, value=5951","layer":4},{"info":"compute binary expreesion, left_input=4871, right_input=5951, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=129623","layer":3},{"info":"compute binary expreesion, left_input=5618186, right_input=129623, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=2168","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=2168, right_input=2180, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9703","layer":3},{"info":"number node, value=1620","layer":4},{"info":"compute unary expreesion, input=1620, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-19519","layer":3},{"info":"compute binary expreesion, left_input=9703, right_input=-19519, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=21054","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=21054, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-41406","layer":1},{"info":"compute binary expreesion, left_input=27447848, right_input=-41406, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=274230827","layer":0}],"base":2,"result_base":2,"text":"((∨∊⋏(≮⫘↔111110100011⪪≮⫘↔111110010100))⪶≀⋏(≮⫘↔1111111010≎⊠⪸≮⫘↔10000100101)≁↽≥(≮⫘↔1110101100011⩘≮⫘↔1010100001011))⨜⨶(≮⫘↔11110011101≴⪞⇿≮⫘↔1010101000011⪎↠≮⫘↔1001100000111≁≮⫘↔1011100111111⇣⩺⋵(≮⫘↔100001111000⊨≮⫘↔100010000100)∴(⩷≮⫘↔11001010100))=≮⫘↔10000010110000110111000101011","reverse_text":"≮⫘↔10000010110000110111000101011=((∨∊⋏(≮⫘↔111110100011⪪≮⫘↔111110010100))⪶≀⋏(≮⫘↔1111111010≎⊠⪸≮⫘↔10000100101)≁↽≥(≮⫘↔1110101100011⩘≮⫘↔1010100001011))⨜⨶(≮⫘↔11110011101≴⪞⇿≮⫘↔1010101000011⪎↠≮⫘↔1001100000111≁≮⫘↔1011100111111⇣⩺⋵(≮⫘↔100001111000⊨≮⫘↔100010000100)∴(⩷≮⫘↔11001010100))","cot":[{"info":"≮⫘↔111110100011⪪≮⫘↔111110010100=≮⫘↔-10010010100111011110","layer":3},{"info":"∨∊⋏≮⫘↔-10010010100111011110=≮⫘↔-1000000001011110101000001","layer":2},{"info":"≮⫘↔1111111010≎⊠⪸≮⫘↔10000100101=≮⫘↔1000000010000010101","layer":3},{"info":"≮⫘↔1110101100011⩘≮⫘↔1010100001011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1000000010000010101≁↽≥≮⫘↔10100000=≮⫘↔1101000101101001000101","layer":2},{"info":"≮⫘↔-1000000001011110101000001⪶≀⋏≮⫘↔1101000101101001000101=≮⫘↔1101000101101001000101000","layer":1},{"info":"≮⫘↔11110011101≴⪞⇿≮⫘↔1010101000011=≮⫘↔10101011011101000001010","layer":3},{"info":"≮⫘↔1001100000111≁≮⫘↔1011100111111=≮⫘↔11111101001010111","layer":3},{"info":"≮⫘↔10101011011101000001010⪎↠≮⫘↔11111101001010111=≮⫘↔10100000","layer":2},{"info":"≮⫘↔100001111000⊨≮⫘↔100010000100=≮⫘↔10010111100111","layer":3},{"info":"⩷≮⫘↔11001010100=≮⫘↔-100110000111111","layer":3},{"info":"≮⫘↔10010111100111∴≮⫘↔-100110000111111=≮⫘↔101001000111110","layer":2},{"info":"≮⫘↔10100000⇣⩺⋵≮⫘↔101001000111110=≮⫘↔-1010000110111110","layer":1},{"info":"≮⫘↔1101000101101001000101000⨜⨶≮⫘↔-1010000110111110=≮⫘↔10000010110000110111000101011","layer":0}]}
{"id":243,"expression_no_base_symbol":"(((⋠∜$7661$)⪑⩈)∋($3637$⩒⫫$4566$)⊕∕($3113$⊝⪿⪼$1548$))⪃⊛⇣(($1838$+⇶⊼$2223$%$4466$⨪↰⇹$6941$)↹⊜($2610$⊉↱≁$4091$⊬⨰($1834$↱$1739$)))","expression":"(((⋠∜≮⫘↔1110111101101)⪑⩈)∋(≮⫘↔111000110101⩒⫫≮⫘↔1000111010110)⊕∕(≮⫘↔110000101001⊝⪿⪼≮⫘↔11000001100))⪃⊛⇣((≮⫘↔11100101110+⇶⊼≮⫘↔100010101111%≮⫘↔1000101110010⨪↰⇹≮⫘↔1101100011101)↹⊜(≮⫘↔101000110010⊉↱≁≮⫘↔111111111011⊬⨰(≮⫘↔11100101010↱≮⫘↔11011001011)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5348,"operation_count":14,"complexity_ratio":382.0,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":7661,"base":2}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3637,"base":2},"right_expr":{"type":"numeric_atoms","value":4566,"base":2}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3113,"base":2},"right_expr":{"type":"numeric_atoms","value":1548,"base":2}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1838,"base":2},"right_expr":{"type":"numeric_atoms","value":2223,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4466,"base":2},"right_expr":{"type":"numeric_atoms","value":6941,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2610,"base":2},"right_expr":{"type":"numeric_atoms","value":4091,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1834,"base":2},"right_expr":{"type":"numeric_atoms","value":1739,"base":2}}}}},"used_operators":["rrgAzCduG9","ukq6epAj5P","C6VvDP6HwP","ZJpFhNJr3x","9cloC0Ngie","KFSx94NKJn","3Oe9XWJUTD","9bazX3JMtO","k8jYdgA6NY","TpPTUOHfaN","tmPS8pqC7x","s3Fd5m9Dh2","w2P8NbNXyL","SR5kFfdi6N"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","AHs5Up7iyr","rJVOvQCfKK","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7661","layer":4},{"info":"compute unary expreesion, input=7661, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=32928","layer":3},{"info":"compute unary expreesion, input=32928, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=232086","layer":2},{"info":"number node, value=3637","layer":4},{"info":"number node, value=4566","layer":4},{"info":"compute binary expreesion, left_input=3637, right_input=4566, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3335","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=1548, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=47217","layer":3},{"info":"compute binary expreesion, left_input=3335, right_input=47217, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3335","layer":2},{"info":"compute binary expreesion, left_input=232086, right_input=3335, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=18924920","layer":1},{"info":"number node, value=1838","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=2223, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4466","layer":4},{"info":"number node, value=6941","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=6941, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4466","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4466, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2610","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=2610, right_input=4091, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=440","layer":3},{"info":"number node, value=1834","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=1739, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-4695","layer":3},{"info":"compute binary expreesion, left_input=440, right_input=-4695, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-17900","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17900, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18924920, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"(((⋠∜≮⫘↔1110111101101)⪑⩈)∋(≮⫘↔111000110101⩒⫫≮⫘↔1000111010110)⊕∕(≮⫘↔110000101001⊝⪿⪼≮⫘↔11000001100))⪃⊛⇣((≮⫘↔11100101110+⇶⊼≮⫘↔100010101111%≮⫘↔1000101110010⨪↰⇹≮⫘↔1101100011101)↹⊜(≮⫘↔101000110010⊉↱≁≮⫘↔111111111011⊬⨰(≮⫘↔11100101010↱≮⫘↔11011001011)))=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=(((⋠∜≮⫘↔1110111101101)⪑⩈)∋(≮⫘↔111000110101⩒⫫≮⫘↔1000111010110)⊕∕(≮⫘↔110000101001⊝⪿⪼≮⫘↔11000001100))⪃⊛⇣((≮⫘↔11100101110+⇶⊼≮⫘↔100010101111%≮⫘↔1000101110010⨪↰⇹≮⫘↔1101100011101)↹⊜(≮⫘↔101000110010⊉↱≁≮⫘↔111111111011⊬⨰(≮⫘↔11100101010↱≮⫘↔11011001011)))","cot":[{"info":"⋠∜≮⫘↔1110111101101=≮⫘↔1000000010100000","layer":3},{"info":"≮⫘↔1000000010100000⪑⩈=≮⫘↔111000101010010110","layer":2},{"info":"≮⫘↔111000110101⩒⫫≮⫘↔1000111010110=≮⫘↔110100000111","layer":3},{"info":"≮⫘↔110000101001⊝⪿⪼≮⫘↔11000001100=≮⫘↔1011100001110001","layer":3},{"info":"≮⫘↔110100000111⊕∕≮⫘↔1011100001110001=≮⫘↔110100000111","layer":2},{"info":"≮⫘↔111000101010010110∋≮⫘↔110100000111=≮⫘↔1001000001100010101111000","layer":1},{"info":"≮⫘↔11100101110+⇶⊼≮⫘↔100010101111=NaN","layer":3},{"info":"≮⫘↔1000101110010⨪↰⇹≮⫘↔1101100011101=≮⫘↔1000101110010","layer":3},{"info":"NaN%≮⫘↔1000101110010=NaN","layer":2},{"info":"≮⫘↔101000110010⊉↱≁≮⫘↔111111111011=≮⫘↔110111000","layer":3},{"info":"≮⫘↔11100101010↱≮⫘↔11011001011=≮⫘↔-1001001010111","layer":3},{"info":"≮⫘↔110111000⊬⨰≮⫘↔-1001001010111=≮⫘↔-100010111101100","layer":2},{"info":"NaN↹⊜≮⫘↔-100010111101100=NaN","layer":1},{"info":"≮⫘↔1001000001100010101111000⪃⊛⇣NaN=≮⫘↔10011010010","layer":0}]}
{"id":244,"expression_no_base_symbol":"↯⪼(($8599$⨱∎)⇄($1476$∖$1044$))≦↸($2246$⨿$1618$↠)","expression":"↯⪼((≮⫘↔10000110010111⨱∎)⇄(≮⫘↔10111000100∖≮⫘↔10000010100))≦↸(≮⫘↔100011000110⨿≮⫘↔11001010010↠)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2144,"operation_count":7,"complexity_ratio":306.2857142857143,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":8599,"base":2}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1476,"base":2},"right_expr":{"type":"numeric_atoms","value":1044,"base":2}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2246,"base":2},"right_expr":{"type":"numeric_atoms","value":1618,"base":2}}}}},"used_operators":["8jW3W4yZS5","RygbFNSyEJ","3EYGwJThht","MmTdOpaElr","tXD093vOjl","LBdsKIvxzf","abYXlopdE0"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","tifHPKVTfV","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8599","layer":4},{"info":"compute unary expreesion, input=8599, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=1476","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=1044, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=484","layer":2},{"info":"number node, value=2246","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=1618, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=484, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"↯⪼((≮⫘↔10000110010111⨱∎)⇄(≮⫘↔10111000100∖≮⫘↔10000010100))≦↸(≮⫘↔100011000110⨿≮⫘↔11001010010↠)=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=↯⪼((≮⫘↔10000110010111⨱∎)⇄(≮⫘↔10111000100∖≮⫘↔10000010100))≦↸(≮⫘↔100011000110⨿≮⫘↔11001010010↠)","cot":[{"info":"≮⫘↔10000110010111⨱∎=≮⫘↔0","layer":3},{"info":"≮⫘↔10111000100∖≮⫘↔10000010100=≮⫘↔0","layer":3},{"info":"≮⫘↔0⇄≮⫘↔0=≮⫘↔111100100","layer":2},{"info":"≮⫘↔100011000110⨿≮⫘↔11001010010=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔-100111111↠=NaN","layer":2},{"info":"≮⫘↔111100100≦↸NaN=NaN","layer":1},{"info":"↯⪼NaN=≮⫘↔-10101","layer":0}]}
{"id":245,"expression_no_base_symbol":"(($3808$⪭$1289$)∳⫺($1822$∀⇚≩$1416$)⫔⩽⩺(⩪∧⨌$1670$)≭($2842$+⇶⊼$1892$))≎⊠⪸((⩷(∐⩳⋚$8967$))≋⫹)","expression":"((≮⫘↔111011100000⪭≮⫘↔10100001001)∳⫺(≮⫘↔11100011110∀⇚≩≮⫘↔10110001000)⫔⩽⩺(⩪∧⨌≮⫘↔11010000110)≭(≮⫘↔101100011010+⇶⊼≮⫘↔11101100100))≎⊠⪸((⩷(∐⩳⋚≮⫘↔10001100000111))≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13172,"operation_count":11,"complexity_ratio":1197.4545454545455,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3808,"base":2},"right_expr":{"type":"numeric_atoms","value":1289,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1822,"base":2},"right_expr":{"type":"numeric_atoms","value":1416,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1670,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2842,"base":2},"right_expr":{"type":"numeric_atoms","value":1892,"base":2}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":8967,"base":2}}}}},"used_operators":["bJkvcejdHO","i9eR4S00cU","AzXXKTstlj","j9kHMeSvPp","LRNGc0VcxI","rxpJgHHUmx","6iOiAJX1F8","TpPTUOHfaN","N41Kp7NANJ","1h0rLqGiFr","SL6IHkK8vl"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tw270M8GLb","fu6greOZ01","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","COABgblf1C","xUOZtlo3hN","X99M06cbEe","AHs5Up7iyr","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3808","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=3808, right_input=1289, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1822","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=1416, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1670","layer":4},{"info":"compute unary expreesion, input=1670, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=16700","layer":3},{"info":"number node, value=2842","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=1892, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16700, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=8967","layer":4},{"info":"compute unary expreesion, input=8967, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=1335634","layer":3},{"info":"compute unary expreesion, input=1335634, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-16027687","layer":2},{"info":"compute unary expreesion, input=-16027687, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=32055374","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=32055374, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111011100000⪭≮⫘↔10100001001)∳⫺(≮⫘↔11100011110∀⇚≩≮⫘↔10110001000)⫔⩽⩺(⩪∧⨌≮⫘↔11010000110)≭(≮⫘↔101100011010+⇶⊼≮⫘↔11101100100))≎⊠⪸((⩷(∐⩳⋚≮⫘↔10001100000111))≋⫹)=NaN","reverse_text":"NaN=((≮⫘↔111011100000⪭≮⫘↔10100001001)∳⫺(≮⫘↔11100011110∀⇚≩≮⫘↔10110001000)⫔⩽⩺(⩪∧⨌≮⫘↔11010000110)≭(≮⫘↔101100011010+⇶⊼≮⫘↔11101100100))≎⊠⪸((⩷(∐⩳⋚≮⫘↔10001100000111))≋⫹)","cot":[{"info":"≮⫘↔111011100000⪭≮⫘↔10100001001=≮⫘↔101","layer":3},{"info":"≮⫘↔11100011110∀⇚≩≮⫘↔10110001000=NaN","layer":3},{"info":"≮⫘↔101∳⫺NaN=≮⫘↔-100000100","layer":2},{"info":"⩪∧⨌≮⫘↔11010000110=≮⫘↔100000100111100","layer":3},{"info":"≮⫘↔101100011010+⇶⊼≮⫘↔11101100100=NaN","layer":3},{"info":"≮⫘↔100000100111100≭NaN=NaN","layer":2},{"info":"≮⫘↔-100000100⫔⩽⩺NaN=NaN","layer":1},{"info":"∐⩳⋚≮⫘↔10001100000111=≮⫘↔101000110000101010010","layer":3},{"info":"⩷≮⫘↔101000110000101010010=≮⫘↔-111101001001000000100111","layer":2},{"info":"≮⫘↔-111101001001000000100111≋⫹=≮⫘↔1111010010010000001001110","layer":1},{"info":"NaN≎⊠⪸≮⫘↔1111010010010000001001110=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"((($4133$⨎$1094$)⊚⫡⫭)⋳⪒($4035$∙⊟$7521$⪒$9668$⨚$2419$))⨎⋸⪻","expression":"(((≮⫘↔1000000100101⨎≮⫘↔10001000110)⊚⫡⫭)⋳⪒(≮⫘↔111111000011∙⊟≮⫘↔1110101100001⪒≮⫘↔10010111000100⨚≮⫘↔100101110011))⨎⋸⪻","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4158,"operation_count":7,"complexity_ratio":594.0,"tree":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4133,"base":2},"right_expr":{"type":"numeric_atoms","value":1094,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4035,"base":2},"right_expr":{"type":"numeric_atoms","value":7521,"base":2}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":9668,"base":2},"right_expr":{"type":"numeric_atoms","value":2419,"base":2}}}}},"used_operators":["Dk5vyLCiGd","12rbrZMWeM","SpZWOsLKZJ","rJVOvQCfKK","f6k1SAg4EE","SxTAKzQCrw","nREPSIbpBE"],"dependent_operators":["IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","BjRHVeLaeN","12rbrZMWeM"],"result":"≮⫘↔100010010011000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4133","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=4133, right_input=1094, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1094","layer":3},{"info":"compute unary expreesion, input=1094, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1262","layer":2},{"info":"number node, value=4035","layer":4},{"info":"number node, value=7521","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=7521, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=62301","layer":3},{"info":"number node, value=9668","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=9668, right_input=2419, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=10594","layer":3},{"info":"compute binary expreesion, left_input=62301, right_input=10594, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-72895","layer":2},{"info":"compute binary expreesion, left_input=-1262, right_input=-72895, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=70084","layer":1},{"info":"compute unary expreesion, input=70084, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=140484","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1000000100101⨎≮⫘↔10001000110)⊚⫡⫭)⋳⪒(≮⫘↔111111000011∙⊟≮⫘↔1110101100001⪒≮⫘↔10010111000100⨚≮⫘↔100101110011))⨎⋸⪻=≮⫘↔100010010011000100","reverse_text":"≮⫘↔100010010011000100=(((≮⫘↔1000000100101⨎≮⫘↔10001000110)⊚⫡⫭)⋳⪒(≮⫘↔111111000011∙⊟≮⫘↔1110101100001⪒≮⫘↔10010111000100⨚≮⫘↔100101110011))⨎⋸⪻","cot":[{"info":"≮⫘↔1000000100101⨎≮⫘↔10001000110=≮⫘↔10001000110","layer":3},{"info":"≮⫘↔10001000110⊚⫡⫭=≮⫘↔-10011101110","layer":2},{"info":"≮⫘↔111111000011∙⊟≮⫘↔1110101100001=≮⫘↔1111001101011101","layer":3},{"info":"≮⫘↔10010111000100⨚≮⫘↔100101110011=≮⫘↔10100101100010","layer":3},{"info":"≮⫘↔1111001101011101⪒≮⫘↔10100101100010=≮⫘↔-10001110010111111","layer":2},{"info":"≮⫘↔-10011101110⋳⪒≮⫘↔-10001110010111111=≮⫘↔10001000111000100","layer":1},{"info":"≮⫘↔10001000111000100⨎⋸⪻=≮⫘↔100010010011000100","layer":0}]}
{"id":247,"expression_no_base_symbol":"(⩎⋉($1975$≹⇙⪍$1856$))⨓($2170$⊕∕$6538$⪶≀⋏($2434$∝$1410$))⨎((↓⇌($4289$⪁$6205$))∝(⊵⊁($2723$⨫⇇↔$1253$)))","expression":"(⩎⋉(≮⫘↔11110110111≹⇙⪍≮⫘↔11101000000))⨓(≮⫘↔100001111010⊕∕≮⫘↔1100110001010⪶≀⋏(≮⫘↔100110000010∝≮⫘↔10110000010))⨎((↓⇌(≮⫘↔1000011000001⪁≮⫘↔1100000111101))∝(⊵⊁(≮⫘↔101010100011⨫⇇↔≮⫘↔10011100101)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":572459353,"operation_count":12,"complexity_ratio":47704946.083333336,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1975,"base":2},"right_expr":{"type":"numeric_atoms","value":1856,"base":2}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2170,"base":2},"right_expr":{"type":"numeric_atoms","value":6538,"base":2}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2434,"base":2},"right_expr":{"type":"numeric_atoms","value":1410,"base":2}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4289,"base":2},"right_expr":{"type":"numeric_atoms","value":6205,"base":2}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2723,"base":2},"right_expr":{"type":"numeric_atoms","value":1253,"base":2}}}}},"used_operators":["rJVOvQCfKK","3ViojmjbAp","FlXk3pOYe8","AHs5Up7iyr","zR4jO40bMj","9cloC0Ngie","cTDWOvIxvz","PxpmPgHHJV","I7sXao9hZE","AvED76WdY7","LXhwmt4mBO"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","7j4O788W3g","W4YGzv6Whe","COABgblf1C","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","uBihLCJcMX","k8jYdgA6NY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1975","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=1856, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":2},{"info":"number node, value=2170","layer":4},{"info":"number node, value=6538","layer":4},{"info":"compute binary expreesion, left_input=2170, right_input=6538, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2170","layer":3},{"info":"number node, value=2434","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=2434, right_input=1410, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2439","layer":3},{"info":"compute binary expreesion, left_input=2170, right_input=2439, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11620","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11620, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=11617","layer":1},{"info":"number node, value=4289","layer":4},{"info":"number node, value=6205","layer":4},{"info":"compute binary expreesion, left_input=4289, right_input=6205, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":2},{"info":"number node, value=2723","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=2723, right_input=1253, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=11617, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩎⋉(≮⫘↔11110110111≹⇙⪍≮⫘↔11101000000))⨓(≮⫘↔100001111010⊕∕≮⫘↔1100110001010⪶≀⋏(≮⫘↔100110000010∝≮⫘↔10110000010))⨎((↓⇌(≮⫘↔1000011000001⪁≮⫘↔1100000111101))∝(⊵⊁(≮⫘↔101010100011⨫⇇↔≮⫘↔10011100101)))=NaN","reverse_text":"NaN=(⩎⋉(≮⫘↔11110110111≹⇙⪍≮⫘↔11101000000))⨓(≮⫘↔100001111010⊕∕≮⫘↔1100110001010⪶≀⋏(≮⫘↔100110000010∝≮⫘↔10110000010))⨎((↓⇌(≮⫘↔1000011000001⪁≮⫘↔1100000111101))∝(⊵⊁(≮⫘↔101010100011⨫⇇↔≮⫘↔10011100101)))","cot":[{"info":"≮⫘↔11110110111≹⇙⪍≮⫘↔11101000000=NaN","layer":3},{"info":"⩎⋉NaN=NaN","layer":2},{"info":"≮⫘↔100001111010⊕∕≮⫘↔1100110001010=≮⫘↔100001111010","layer":3},{"info":"≮⫘↔100110000010∝≮⫘↔10110000010=≮⫘↔100110000111","layer":3},{"info":"≮⫘↔100001111010⪶≀⋏≮⫘↔100110000111=≮⫘↔-10110101100100","layer":2},{"info":"NaN⨓≮⫘↔-10110101100100=≮⫘↔10110101100001","layer":1},{"info":"≮⫘↔1000011000001⪁≮⫘↔1100000111101=NaN","layer":3},{"info":"↓⇌NaN=NaN","layer":2},{"info":"≮⫘↔101010100011⨫⇇↔≮⫘↔10011100101=≮⫘↔-1000001111","layer":3},{"info":"⊵⊁≮⫘↔-1000001111=≮⫘↔0","layer":2},{"info":"NaN∝≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔10110101100001⨎NaN=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"(⇤←$1154$→⨶⪴$7402$)⊲⩕⊾(⩷⨜⫀($1543$≳⇉$1240$))+⇶⊼(($1180$⊹∫⫚$3137$)∳⫺($2184$⩣⫁∢$1617$))≌((⇜$1020$)⩨$2596$⪶≀⋏$7142$)","expression":"(⇤←≮⫘↔10010000010→⨶⪴≮⫘↔1110011101010)⊲⩕⊾(⩷⨜⫀(≮⫘↔11000000111≳⇉≮⫘↔10011011000))+⇶⊼((≮⫘↔10010011100⊹∫⫚≮⫘↔110001000001)∳⫺(≮⫘↔100010001000⩣⫁∢≮⫘↔11001010001))≌((⇜≮⫘↔1111111100)⩨≮⫘↔101000100100⪶≀⋏≮⫘↔1101111100110)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19132379,"operation_count":13,"complexity_ratio":1471721.4615384615,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1154,"base":2},"right_expr":{"type":"numeric_atoms","value":7402,"base":2}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1543,"base":2},"right_expr":{"type":"numeric_atoms","value":1240,"base":2}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1180,"base":2},"right_expr":{"type":"numeric_atoms","value":3137,"base":2}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2184,"base":2},"right_expr":{"type":"numeric_atoms","value":1617,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1020,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2596,"base":2},"right_expr":{"type":"numeric_atoms","value":7142,"base":2}}}}},"used_operators":["TpPTUOHfaN","DmTXOeWf9t","jfAgQ2OQeM","bF6eod5Gvf","CDi0ktkjQ4","V0kx6qeWkN","lyWz822IDG","AzXXKTstlj","uWAJUKEvyW","JDUIKTTSIa","2DlMacCsIx","lFBm8KRb8F","zR4jO40bMj"],"dependent_operators":["AHs5Up7iyr","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","8w2t5hMYqp","9FxExcQeMw","ruOEQAzv1W","nhYeJWJD5X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"number node, value=7402","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=7402, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-22206","layer":3},{"info":"compute unary expreesion, input=-22206, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=22640","layer":2},{"info":"number node, value=1543","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=1240, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=22640, right_input=-134, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-351030","layer":1},{"info":"number node, value=1180","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=3137, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-124","layer":3},{"info":"number node, value=2184","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=1617, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4207","layer":3},{"info":"compute binary expreesion, left_input=-124, right_input=-4207, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8568","layer":3},{"info":"number node, value=2596","layer":4},{"info":"number node, value=7142","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=7142, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-22304","layer":3},{"info":"compute binary expreesion, left_input=-8568, right_input=-22304, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-6, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9092","layer":1},{"info":"compute binary expreesion, left_input=-351030, right_input=9092, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇤←≮⫘↔10010000010→⨶⪴≮⫘↔1110011101010)⊲⩕⊾(⩷⨜⫀(≮⫘↔11000000111≳⇉≮⫘↔10011011000))+⇶⊼((≮⫘↔10010011100⊹∫⫚≮⫘↔110001000001)∳⫺(≮⫘↔100010001000⩣⫁∢≮⫘↔11001010001))≌((⇜≮⫘↔1111111100)⩨≮⫘↔101000100100⪶≀⋏≮⫘↔1101111100110)=NaN","reverse_text":"NaN=(⇤←≮⫘↔10010000010→⨶⪴≮⫘↔1110011101010)⊲⩕⊾(⩷⨜⫀(≮⫘↔11000000111≳⇉≮⫘↔10011011000))+⇶⊼((≮⫘↔10010011100⊹∫⫚≮⫘↔110001000001)∳⫺(≮⫘↔100010001000⩣⫁∢≮⫘↔11001010001))≌((⇜≮⫘↔1111111100)⩨≮⫘↔101000100100⪶≀⋏≮⫘↔1101111100110)","cot":[{"info":"≮⫘↔10010000010→⨶⪴≮⫘↔1110011101010=≮⫘↔-101011010111110","layer":3},{"info":"⇤←≮⫘↔-101011010111110=≮⫘↔101100001110000","layer":2},{"info":"≮⫘↔11000000111≳⇉≮⫘↔10011011000=NaN","layer":3},{"info":"⩷⨜⫀NaN=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔101100001110000⊲⩕⊾≮⫘↔-10000110=≮⫘↔-1010101101100110110","layer":1},{"info":"≮⫘↔10010011100⊹∫⫚≮⫘↔110001000001=≮⫘↔-1111100","layer":3},{"info":"≮⫘↔100010001000⩣⫁∢≮⫘↔11001010001=≮⫘↔-1000001101111","layer":3},{"info":"≮⫘↔-1111100∳⫺≮⫘↔-1000001101111=≮⫘↔-100000100","layer":2},{"info":"⇜≮⫘↔1111111100=≮⫘↔-10000101111000","layer":3},{"info":"≮⫘↔101000100100⪶≀⋏≮⫘↔1101111100110=≮⫘↔-101011100100000","layer":3},{"info":"≮⫘↔-10000101111000⩨≮⫘↔-101011100100000=≮⫘↔-110","layer":2},{"info":"≮⫘↔-100000100≌≮⫘↔-110=≮⫘↔10001110000100","layer":1},{"info":"≮⫘↔-1010101101100110110+⇶⊼≮⫘↔10001110000100=NaN","layer":0}]}
{"id":249,"expression_no_base_symbol":"((↽≂(⇺⋃$3461$))⨓($3564$∪⫐$5980$)⩣⫁∢$3226$⇡⇂$1161$)⩖⊿(($6077$⩍⋽⫝̸$1091$)⊢($1534$⨟⋌⩍$5183$)⨳⩥⨓(⩷⨜⫀$1758$)⊮⊟↴($5864$⪇≇⋚$3335$))","expression":"((↽≂(⇺⋃≮⫘↔110110000101))⨓(≮⫘↔110111101100∪⫐≮⫘↔1011101011100)⩣⫁∢≮⫘↔110010011010⇡⇂≮⫘↔10010001001)⩖⊿((≮⫘↔1011110111101⩍⋽⫝̸≮⫘↔10001000011)⊢(≮⫘↔10111111110⨟⋌⩍≮⫘↔1010000111111)⨳⩥⨓(⩷⨜⫀≮⫘↔11011011110)⊮⊟↴(≮⫘↔1011011101000⪇≇⋚≮⫘↔110100000111))","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":6602,"operation_count":14,"complexity_ratio":471.57142857142856,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":3461,"base":2}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3564,"base":2},"right_expr":{"type":"numeric_atoms","value":5980,"base":2}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3226,"base":2},"right_expr":{"type":"numeric_atoms","value":1161,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":6077,"base":2},"right_expr":{"type":"numeric_atoms","value":1091,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1534,"base":2},"right_expr":{"type":"numeric_atoms","value":5183,"base":2}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1758,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5864,"base":2},"right_expr":{"type":"numeric_atoms","value":3335,"base":2}}}}},"used_operators":["RZ5CV9rWsJ","3ViojmjbAp","u6S6b8DprG","E5v5B3UAjG","JDUIKTTSIa","7YooWSwCyH","UMwdvZNt44","nCS4ZIUYfx","5twsqlHp2o","BiWNJpBvwn","rGHVDoGpnC","QDVgd2eftb","CDi0ktkjQ4","3sJ7IOPOlU"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Ph9nP6C5qx","xUOZtlo3hN","Tcnh7f0tEr","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","ruOEQAzv1W","nhYeJWJD5X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3461","layer":4},{"info":"compute unary expreesion, input=3461, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"number node, value=3564","layer":4},{"info":"number node, value=5980","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=5980, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3564","layer":3},{"info":"number node, value=3226","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=3226, right_input=1161, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3564, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=6077","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=6077, right_input=1091, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=145","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=5183","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=5183, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=145, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-534","layer":2},{"info":"number node, value=1758","layer":4},{"info":"compute unary expreesion, input=1758, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1485","layer":3},{"info":"number node, value=5864","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=5864, right_input=3335, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1485, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-534, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=534","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=534, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↽≂(⇺⋃≮⫘↔110110000101))⨓(≮⫘↔110111101100∪⫐≮⫘↔1011101011100)⩣⫁∢≮⫘↔110010011010⇡⇂≮⫘↔10010001001)⩖⊿((≮⫘↔1011110111101⩍⋽⫝̸≮⫘↔10001000011)⊢(≮⫘↔10111111110⨟⋌⩍≮⫘↔1010000111111)⨳⩥⨓(⩷⨜⫀≮⫘↔11011011110)⊮⊟↴(≮⫘↔1011011101000⪇≇⋚≮⫘↔110100000111))=NaN","reverse_text":"NaN=((↽≂(⇺⋃≮⫘↔110110000101))⨓(≮⫘↔110111101100∪⫐≮⫘↔1011101011100)⩣⫁∢≮⫘↔110010011010⇡⇂≮⫘↔10010001001)⩖⊿((≮⫘↔1011110111101⩍⋽⫝̸≮⫘↔10001000011)⊢(≮⫘↔10111111110⨟⋌⩍≮⫘↔1010000111111)⨳⩥⨓(⩷⨜⫀≮⫘↔11011011110)⊮⊟↴(≮⫘↔1011011101000⪇≇⋚≮⫘↔110100000111))","cot":[{"info":"⇺⋃≮⫘↔110110000101=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"≮⫘↔110111101100∪⫐≮⫘↔1011101011100=≮⫘↔110111101100","layer":3},{"info":"≮⫘↔110010011010⇡⇂≮⫘↔10010001001=NaN","layer":3},{"info":"≮⫘↔110111101100⩣⫁∢NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"≮⫘↔1011110111101⩍⋽⫝̸≮⫘↔10001000011=≮⫘↔10010001","layer":3},{"info":"≮⫘↔10111111110⨟⋌⩍≮⫘↔1010000111111=NaN","layer":3},{"info":"≮⫘↔10010001⊢NaN=≮⫘↔-1000010110","layer":2},{"info":"⩷⨜⫀≮⫘↔11011011110=≮⫘↔-10111001101","layer":3},{"info":"≮⫘↔1011011101000⪇≇⋚≮⫘↔110100000111=≮⫘↔0","layer":3},{"info":"≮⫘↔-10111001101⊮⊟↴≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-1000010110⨳⩥⨓≮⫘↔0=≮⫘↔1000010110","layer":1},{"info":"NaN⩖⊿≮⫘↔1000010110=NaN","layer":0}]}
{"id":250,"expression_no_base_symbol":"≋(($1147$⪬$2029$↸(⨩∲⋌$1207$))≨($1391$⨿$1907$⪭≯$2022$⊢$1528$))","expression":"≋((≮⫘↔10001111011⪬≮⫘↔11111101101↸(⨩∲⋌≮⫘↔10010110111))≨(≮⫘↔10101101111⨿≮⫘↔11101110011⪭≯≮⫘↔11111100110⊢≮⫘↔10111111000))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8320,"operation_count":8,"complexity_ratio":1040.0,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1147,"base":2},"right_expr":{"type":"numeric_atoms","value":2029,"base":2}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1207,"base":2}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1391,"base":2},"right_expr":{"type":"numeric_atoms","value":1907,"base":2}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2022,"base":2},"right_expr":{"type":"numeric_atoms","value":1528,"base":2}}}}},"used_operators":["61wBmkZwlr","0KMCeP1Jsh","1eCjFl0mb9","Ez1Nq5fNfI","aSik1wnThz","XAx5wpdLa6","abYXlopdE0","5twsqlHp2o"],"dependent_operators":["7j4O788W3g","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"≮⫘↔-10011010001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":4},{"info":"number node, value=2029","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=2029, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1730","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-1730, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1234","layer":2},{"info":"number node, value=1391","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=1907, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2022","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=1528, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4288","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-4288, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-9864","layer":1},{"info":"compute unary expreesion, input=-9864, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-9864","layer":0}],"base":2,"result_base":2,"text":"≋((≮⫘↔10001111011⪬≮⫘↔11111101101↸(⨩∲⋌≮⫘↔10010110111))≨(≮⫘↔10101101111⨿≮⫘↔11101110011⪭≯≮⫘↔11111100110⊢≮⫘↔10111111000))=≮⫘↔-10011010001000","reverse_text":"≮⫘↔-10011010001000=≋((≮⫘↔10001111011⪬≮⫘↔11111101101↸(⨩∲⋌≮⫘↔10010110111))≨(≮⫘↔10101101111⨿≮⫘↔11101110011⪭≯≮⫘↔11111100110⊢≮⫘↔10111111000))","cot":[{"info":"≮⫘↔10001111011⪬≮⫘↔11111101101=≮⫘↔10011010010","layer":3},{"info":"⨩∲⋌≮⫘↔10010110111=≮⫘↔-11011000010","layer":3},{"info":"≮⫘↔10011010010↸≮⫘↔-11011000010=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔10101101111⨿≮⫘↔11101110011=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔11111100110⊢≮⫘↔10111111000=≮⫘↔-1000011000000","layer":3},{"info":"≮⫘↔-100111111⪭≯≮⫘↔-1000011000000=NaN","layer":2},{"info":"≮⫘↔10011010010≨NaN=≮⫘↔-10011010001000","layer":1},{"info":"≋≮⫘↔-10011010001000=≮⫘↔-10011010001000","layer":0}]}
{"id":251,"expression_no_base_symbol":"($3354$≎⪠$3072$⪔$4023$⨂≜$7345$∪⫐(⨡↴$1390$⩚⊴⇥$3194$))⨻⩈⩔((≪($5152$→⨶⪴$3442$))⋷(⋂(⊑$8135$)))","expression":"(≮⫘↔110100011010≎⪠≮⫘↔110000000000⪔≮⫘↔111110110111⨂≜≮⫘↔1110010110001∪⫐(⨡↴≮⫘↔10101101110⩚⊴⇥≮⫘↔110001111010))⨻⩈⩔((≪(≮⫘↔1010000100000→⨶⪴≮⫘↔110101110010))⋷(⋂(⊑≮⫘↔1111111000111)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23815,"operation_count":12,"complexity_ratio":1984.5833333333333,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3354,"base":2},"right_expr":{"type":"numeric_atoms","value":3072,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4023,"base":2},"right_expr":{"type":"numeric_atoms","value":7345,"base":2}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":3194,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5152,"base":2},"right_expr":{"type":"numeric_atoms","value":3442,"base":2}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":8135,"base":2}}}}},"used_operators":["nEsXyWgiOK","7YooWSwCyH","GjBEYRfMaF","aNhz54LH3e","k1SHOSEABc","liw5iZPkLH","NTOWxs364D","23Mk6UjR3U","Qtd6bqUJcN","bF6eod5Gvf","BUOGQAYlQx","IkUmn0D7oy"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rJVOvQCfKK","2DDjHMKMc0","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3354","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=3072, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=4023","layer":4},{"info":"number node, value=7345","layer":4},{"info":"compute binary expreesion, left_input=4023, right_input=7345, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=3194, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4705","layer":3},{"info":"compute unary expreesion, input=-4705, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"number node, value=5152","layer":4},{"info":"number node, value=3442","layer":4},{"info":"compute binary expreesion, left_input=5152, right_input=3442, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10326","layer":3},{"info":"compute unary expreesion, input=-10326, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=123783","layer":2},{"info":"number node, value=8135","layer":4},{"info":"compute unary expreesion, input=8135, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-2092","layer":2},{"info":"compute binary expreesion, left_input=123783, right_input=-2092, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-127967","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-127967, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110100011010≎⪠≮⫘↔110000000000⪔≮⫘↔111110110111⨂≜≮⫘↔1110010110001∪⫐(⨡↴≮⫘↔10101101110⩚⊴⇥≮⫘↔110001111010))⨻⩈⩔((≪(≮⫘↔1010000100000→⨶⪴≮⫘↔110101110010))⋷(⋂(⊑≮⫘↔1111111000111)))=NaN","reverse_text":"NaN=(≮⫘↔110100011010≎⪠≮⫘↔110000000000⪔≮⫘↔111110110111⨂≜≮⫘↔1110010110001∪⫐(⨡↴≮⫘↔10101101110⩚⊴⇥≮⫘↔110001111010))⨻⩈⩔((≪(≮⫘↔1010000100000→⨶⪴≮⫘↔110101110010))⋷(⋂(⊑≮⫘↔1111111000111)))","cot":[{"info":"≮⫘↔110100011010≎⪠≮⫘↔110000000000=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔111110110111⨂≜≮⫘↔1110010110001=NaN","layer":3},{"info":"≮⫘↔100110001100110⪔NaN=NaN","layer":2},{"info":"≮⫘↔10101101110⩚⊴⇥≮⫘↔110001111010=≮⫘↔-1001001100001","layer":3},{"info":"⨡↴≮⫘↔-1001001100001=≮⫘↔-110111","layer":2},{"info":"NaN∪⫐≮⫘↔-110111=NaN","layer":1},{"info":"≮⫘↔1010000100000→⨶⪴≮⫘↔110101110010=≮⫘↔-10100001010110","layer":3},{"info":"≪≮⫘↔-10100001010110=≮⫘↔11110001110000111","layer":2},{"info":"⊑≮⫘↔1111111000111=≮⫘↔11000000","layer":3},{"info":"⋂≮⫘↔11000000=≮⫘↔-100000101100","layer":2},{"info":"≮⫘↔11110001110000111⋷≮⫘↔-100000101100=≮⫘↔-11111001111011111","layer":1},{"info":"NaN⨻⩈⩔≮⫘↔-11111001111011111=NaN","layer":0}]}
{"id":252,"expression_no_base_symbol":"($5767$⨿$1881$⨰($1568$⋓$2294$))⨻⩈⩔$2124$∋$1393$≹⇙⪍$3368$∊∟⩊$1875$⫲≸⪮(⩏⊷≩($4908$⇩)↬($4836$⫻⋑⊟))","expression":"(≮⫘↔1011010000111⨿≮⫘↔11101011001⨰(≮⫘↔11000100000⋓≮⫘↔100011110110))⨻⩈⩔≮⫘↔100001001100∋≮⫘↔10101110001≹⇙⪍≮⫘↔110100101000∊∟⩊≮⫘↔11101010011⫲≸⪮(⩏⊷≩(≮⫘↔1001100101100⇩)↬(≮⫘↔1001011100100⫻⋑⊟))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":463,"operation_count":12,"complexity_ratio":38.583333333333336,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5767,"base":2},"right_expr":{"type":"numeric_atoms","value":1881,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1568,"base":2},"right_expr":{"type":"numeric_atoms","value":2294,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2124,"base":2},"right_expr":{"type":"numeric_atoms","value":1393,"base":2}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3368,"base":2},"right_expr":{"type":"numeric_atoms","value":1875,"base":2}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":4908,"base":2}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":4836,"base":2}}}}},"used_operators":["P3lXMJvFrc","nEsXyWgiOK","eewbuw0ToL","abYXlopdE0","T2fj7uvVaJ","AHs5Up7iyr","ukq6epAj5P","ddLRYrp01A","uOZ1tnYMDE","B5M0gjZbta","vRio1gEz1j","o575Zjdmzy"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","23Mk6UjR3U","12rbrZMWeM","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5767","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=5767, right_input=1881, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1568","layer":4},{"info":"number node, value=2294","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=2294, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-309","layer":2},{"info":"number node, value=2124","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=1393, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2943072","layer":3},{"info":"number node, value=3368","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=1875, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1875","layer":3},{"info":"compute binary expreesion, left_input=2943072, right_input=1875, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-309, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"number node, value=4908","layer":4},{"info":"compute unary expreesion, input=4908, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=5001","layer":3},{"info":"number node, value=4836","layer":4},{"info":"compute unary expreesion, input=4836, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-9162","layer":3},{"info":"compute binary expreesion, left_input=5001, right_input=-9162, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1011010000111⨿≮⫘↔11101011001⨰(≮⫘↔11000100000⋓≮⫘↔100011110110))⨻⩈⩔≮⫘↔100001001100∋≮⫘↔10101110001≹⇙⪍≮⫘↔110100101000∊∟⩊≮⫘↔11101010011⫲≸⪮(⩏⊷≩(≮⫘↔1001100101100⇩)↬(≮⫘↔1001011100100⫻⋑⊟))=NaN","reverse_text":"NaN=(≮⫘↔1011010000111⨿≮⫘↔11101011001⨰(≮⫘↔11000100000⋓≮⫘↔100011110110))⨻⩈⩔≮⫘↔100001001100∋≮⫘↔10101110001≹⇙⪍≮⫘↔110100101000∊∟⩊≮⫘↔11101010011⫲≸⪮(⩏⊷≩(≮⫘↔1001100101100⇩)↬(≮⫘↔1001011100100⫻⋑⊟))","cot":[{"info":"≮⫘↔1011010000111⨿≮⫘↔11101011001=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔11000100000⋓≮⫘↔100011110110=≮⫘↔0","layer":3},{"info":"≮⫘↔-100111111⨰≮⫘↔0=≮⫘↔-100110101","layer":2},{"info":"≮⫘↔100001001100∋≮⫘↔10101110001=≮⫘↔1011001110100001100000","layer":3},{"info":"≮⫘↔110100101000∊∟⩊≮⫘↔11101010011=≮⫘↔11101010011","layer":3},{"info":"≮⫘↔1011001110100001100000≹⇙⪍≮⫘↔11101010011=NaN","layer":2},{"info":"≮⫘↔-100110101⨻⩈⩔NaN=NaN","layer":1},{"info":"≮⫘↔1001100101100⇩=≮⫘↔1001110001001","layer":3},{"info":"≮⫘↔1001011100100⫻⋑⊟=≮⫘↔-10001111001010","layer":3},{"info":"≮⫘↔1001110001001↬≮⫘↔-10001111001010=NaN","layer":2},{"info":"⩏⊷≩NaN=NaN","layer":1},{"info":"NaN⫲≸⪮NaN=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"∂⩏⊆(($3198$⋓$3256$)⨪↰⇹$2523$⩖⊿$2391$)⩇∃⫛($7278$⨰$2459$⋅⇍$1326$⪡$8317$)","expression":"∂⩏⊆((≮⫘↔110001111110⋓≮⫘↔110010111000)⨪↰⇹≮⫘↔100111011011⩖⊿≮⫘↔100101010111)⩇∃⫛(≮⫘↔1110001101110⨰≮⫘↔100110011011⋅⇍≮⫘↔10100101110⪡≮⫘↔10000001111101)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":85,"operation_count":8,"complexity_ratio":10.625,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3198,"base":2},"right_expr":{"type":"numeric_atoms","value":3256,"base":2}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2523,"base":2},"right_expr":{"type":"numeric_atoms","value":2391,"base":2}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7278,"base":2},"right_expr":{"type":"numeric_atoms","value":2459,"base":2}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1326,"base":2},"right_expr":{"type":"numeric_atoms","value":8317,"base":2}}}}},"used_operators":["8WDwsbhb0R","1aApVXNlOP","tmPS8pqC7x","T2fj7uvVaJ","RZ5CV9rWsJ","AdZkA7nFnk","eewbuw0ToL","oraRL2iQuh"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"≮⫘↔-10110011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3198","layer":4},{"info":"number node, value=3256","layer":4},{"info":"compute binary expreesion, left_input=3198, right_input=3256, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=2391, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=8954","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8954, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=7278","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=7278, right_input=2459, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4829","layer":3},{"info":"number node, value=1326","layer":4},{"info":"number node, value=8317","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=8317, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=4829, right_input=107, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-22, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=451","layer":1},{"info":"compute unary expreesion, input=451, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-1432","layer":0}],"base":2,"result_base":2,"text":"∂⩏⊆((≮⫘↔110001111110⋓≮⫘↔110010111000)⨪↰⇹≮⫘↔100111011011⩖⊿≮⫘↔100101010111)⩇∃⫛(≮⫘↔1110001101110⨰≮⫘↔100110011011⋅⇍≮⫘↔10100101110⪡≮⫘↔10000001111101)=≮⫘↔-10110011000","reverse_text":"≮⫘↔-10110011000=∂⩏⊆((≮⫘↔110001111110⋓≮⫘↔110010111000)⨪↰⇹≮⫘↔100111011011⩖⊿≮⫘↔100101010111)⩇∃⫛(≮⫘↔1110001101110⨰≮⫘↔100110011011⋅⇍≮⫘↔10100101110⪡≮⫘↔10000001111101)","cot":[{"info":"≮⫘↔110001111110⋓≮⫘↔110010111000=≮⫘↔0","layer":3},{"info":"≮⫘↔100111011011⩖⊿≮⫘↔100101010111=≮⫘↔10001011111010","layer":3},{"info":"≮⫘↔0⨪↰⇹≮⫘↔10001011111010=≮⫘↔0","layer":2},{"info":"≮⫘↔1110001101110⨰≮⫘↔100110011011=≮⫘↔1001011011101","layer":3},{"info":"≮⫘↔10100101110⪡≮⫘↔10000001111101=≮⫘↔1101011","layer":3},{"info":"≮⫘↔1001011011101⋅⇍≮⫘↔1101011=≮⫘↔-10110","layer":2},{"info":"≮⫘↔0⩇∃⫛≮⫘↔-10110=≮⫘↔111000011","layer":1},{"info":"∂⩏⊆≮⫘↔111000011=≮⫘↔-10110011000","layer":0}]}
{"id":254,"expression_no_base_symbol":"((↨$2569$⇤$3254$)⇀∌)≦≮≮","expression":"((↨≮⫘↔101000001001⇤≮⫘↔110010110110)⇀∌)≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":223,"operation_count":4,"complexity_ratio":55.75,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2569,"base":2},"right_expr":{"type":"numeric_atoms","value":3254,"base":2}}}}},"used_operators":["D4vGDi5EA2","2k53nXOpI5","jiX4gk2v2Q","YSKBFp38Pu"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2569","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=3254, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-26267","layer":3},{"info":"compute unary expreesion, input=-26267, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↨≮⫘↔101000001001⇤≮⫘↔110010110110)⇀∌)≦≮≮=NaN","reverse_text":"NaN=((↨≮⫘↔101000001001⇤≮⫘↔110010110110)⇀∌)≦≮≮","cot":[{"info":"≮⫘↔101000001001⇤≮⫘↔110010110110=≮⫘↔-110011010011011","layer":3},{"info":"↨≮⫘↔-110011010011011=NaN","layer":2},{"info":"NaN⇀∌=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"($2755$⫥∨⫟$3023$)⫣⪄⊒(≸≮$2344$)⨚⇆(($1493$∛≔)≝⊰⇂)⋾⨃∁((⪁⇼($5163$⪎↠$4556$))+(⋗⩬⋾$1957$≚⊃≕$1912$))","expression":"(≮⫘↔101011000011⫥∨⫟≮⫘↔101111001111)⫣⪄⊒(≸≮≮⫘↔100100101000)⨚⇆((≮⫘↔10111010101∛≔)≝⊰⇂)⋾⨃∁((⪁⇼(≮⫘↔1010000101011⪎↠≮⫘↔1000111001100))+(⋗⩬⋾≮⫘↔11110100101≚⊃≕≮⫘↔11101111000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16826,"operation_count":12,"complexity_ratio":1402.1666666666667,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2755,"base":2},"right_expr":{"type":"numeric_atoms","value":3023,"base":2}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2344,"base":2}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1493,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5163,"base":2},"right_expr":{"type":"numeric_atoms","value":4556,"base":2}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1957,"base":2},"right_expr":{"type":"numeric_atoms","value":1912,"base":2}}}}},"used_operators":["212REbPD9h","lwHaAYXP2r","RabNbG55vr","KYD54nUTWz","AljMvE3RRm","htSmYCowi5","mGnSCrte3L","W4YGzv6Whe","ZNVVrZ94lY","3tVxb0NHM4","DpFCA1CohY","Bmrmz2XGnR"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","8HhzD0ZcuI","rGHVDoGpnC","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","DlLNRPXxWL","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≮⫘↔1110110100100100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2755","layer":4},{"info":"number node, value=3023","layer":4},{"info":"compute binary expreesion, left_input=2755, right_input=3023, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2344","layer":4},{"info":"compute unary expreesion, input=2344, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=1493","layer":4},{"info":"compute unary expreesion, input=1493, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-125486413","layer":3},{"info":"compute unary expreesion, input=-125486413, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-250972960","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-250972960, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=5163","layer":4},{"info":"number node, value=4556","layer":4},{"info":"compute binary expreesion, left_input=5163, right_input=4556, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=1957","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=1912, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-201","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=-201, op_id = W4YGzv6Whe binary_op_definition= 'None', output=221","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=221, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=485664","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101011000011⫥∨⫟≮⫘↔101111001111)⫣⪄⊒(≸≮≮⫘↔100100101000)⨚⇆((≮⫘↔10111010101∛≔)≝⊰⇂)⋾⨃∁((⪁⇼(≮⫘↔1010000101011⪎↠≮⫘↔1000111001100))+(⋗⩬⋾≮⫘↔11110100101≚⊃≕≮⫘↔11101111000))=≮⫘↔1110110100100100000","reverse_text":"≮⫘↔1110110100100100000=(≮⫘↔101011000011⫥∨⫟≮⫘↔101111001111)⫣⪄⊒(≸≮≮⫘↔100100101000)⨚⇆((≮⫘↔10111010101∛≔)≝⊰⇂)⋾⨃∁((⪁⇼(≮⫘↔1010000101011⪎↠≮⫘↔1000111001100))+(⋗⩬⋾≮⫘↔11110100101≚⊃≕≮⫘↔11101111000))","cot":[{"info":"≮⫘↔101011000011⫥∨⫟≮⫘↔101111001111=NaN","layer":3},{"info":"≸≮≮⫘↔100100101000=NaN","layer":3},{"info":"NaN⫣⪄⊒NaN=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10111010101∛≔=≮⫘↔-111011110101100010101001101","layer":3},{"info":"≮⫘↔-111011110101100010101001101≝⊰⇂=≮⫘↔-1110111101011000101100100000","layer":2},{"info":"≮⫘↔10100000⨚⇆≮⫘↔-1110111101011000101100100000=NaN","layer":1},{"info":"≮⫘↔1010000101011⪎↠≮⫘↔1000111001100=≮⫘↔10100000","layer":3},{"info":"⪁⇼≮⫘↔10100000=≮⫘↔110100110","layer":2},{"info":"≮⫘↔11110100101≚⊃≕≮⫘↔11101111000=≮⫘↔1000011","layer":3},{"info":"⋗⩬⋾≮⫘↔1000011=≮⫘↔-11001001","layer":2},{"info":"≮⫘↔110100110+≮⫘↔-11001001=≮⫘↔11011101","layer":1},{"info":"NaN⋾⨃∁≮⫘↔11011101=≮⫘↔1110110100100100000","layer":0}]}
{"id":256,"expression_no_base_symbol":"(($5565$⋕⪉⪜$1376$∵≐)∇⊂⋱($2456$⫲≸⪮$1397$⩟))↯⫤","expression":"((≮⫘↔1010110111101⋕⪉⪜≮⫘↔10101100000∵≐)∇⊂⋱(≮⫘↔100110011000⫲≸⪮≮⫘↔10101110101⩟))↯⫤","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2534,"operation_count":6,"complexity_ratio":422.3333333333333,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5565,"base":2},"right_expr":{"type":"numeric_atoms","value":1376,"base":2}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2456,"base":2},"right_expr":{"type":"numeric_atoms","value":1397,"base":2}}}}},"used_operators":["VwlE7vj6HS","nhYeJWJD5X","59igzFyhWz","z6LnFrNh4i","fOIeswaMU4","P3lXMJvFrc"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5565","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=5565, right_input=1376, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1856","layer":2},{"info":"number node, value=2456","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=1397, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2456","layer":3},{"info":"compute unary expreesion, input=2456, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-20877","layer":2},{"info":"compute binary expreesion, left_input=1856, right_input=-20877, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3166","layer":1},{"info":"compute unary expreesion, input=3166, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010110111101⋕⪉⪜≮⫘↔10101100000∵≐)∇⊂⋱(≮⫘↔100110011000⫲≸⪮≮⫘↔10101110101⩟))↯⫤=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔1010110111101⋕⪉⪜≮⫘↔10101100000∵≐)∇⊂⋱(≮⫘↔100110011000⫲≸⪮≮⫘↔10101110101⩟))↯⫤","cot":[{"info":"≮⫘↔1010110111101⋕⪉⪜≮⫘↔10101100000=≮⫘↔101011110010","layer":3},{"info":"≮⫘↔101011110010∵≐=≮⫘↔11101000000","layer":2},{"info":"≮⫘↔100110011000⫲≸⪮≮⫘↔10101110101=≮⫘↔100110011000","layer":3},{"info":"≮⫘↔100110011000⩟=≮⫘↔-101000110001101","layer":2},{"info":"≮⫘↔11101000000∇⊂⋱≮⫘↔-101000110001101=≮⫘↔110001011110","layer":1},{"info":"≮⫘↔110001011110↯⫤=≮⫘↔0","layer":0}]}
{"id":257,"expression_no_base_symbol":"((($1830$⋳⪒$1102$)⇗⋫)⫡⨏($3903$⪑⩈)⋳⪒$4928$⪚$6142$)∠↢((∤↝$1887$)∛≔)⨽(($2876$⨪↰⇹$3955$)⨲∙)","expression":"(((≮⫘↔11100100110⋳⪒≮⫘↔10001001110)⇗⋫)⫡⨏(≮⫘↔111100111111⪑⩈)⋳⪒≮⫘↔1001101000000⪚≮⫘↔1011111111110)∠↢((∤↝≮⫘↔11101011111)∛≔)⨽((≮⫘↔101100111100⨪↰⇹≮⫘↔111101110011)⨲∙)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":448162575,"operation_count":12,"complexity_ratio":37346881.25,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1830,"base":2},"right_expr":{"type":"numeric_atoms","value":1102,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":3903,"base":2}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4928,"base":2},"right_expr":{"type":"numeric_atoms","value":6142,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1887,"base":2}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2876,"base":2},"right_expr":{"type":"numeric_atoms","value":3955,"base":2}}}}},"used_operators":["KbjG8mgYpV","QMFrweE19q","hpqmaQFPrd","12rbrZMWeM","C6VvDP6HwP","HrjLwUk87U","8HhzD0ZcuI","mGnSCrte3L","3UMq87Qwqg","cRahaglYVE","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1102, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2271","layer":3},{"info":"compute unary expreesion, input=2271, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=3903","layer":4},{"info":"compute unary expreesion, input=3903, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=28911","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=6142","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=6142, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2784","layer":3},{"info":"compute binary expreesion, left_input=28911, right_input=-2784, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=60319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=60319, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1887","layer":4},{"info":"compute unary expreesion, input=1887, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1887","layer":3},{"info":"compute unary expreesion, input=1887, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-448150349","layer":2},{"info":"number node, value=2876","layer":4},{"info":"number node, value=3955","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=3955, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2876","layer":3},{"info":"compute unary expreesion, input=2876, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=36988550","layer":2},{"info":"compute binary expreesion, left_input=-448150349, right_input=36988550, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11100100110⋳⪒≮⫘↔10001001110)⇗⋫)⫡⨏(≮⫘↔111100111111⪑⩈)⋳⪒≮⫘↔1001101000000⪚≮⫘↔1011111111110)∠↢((∤↝≮⫘↔11101011111)∛≔)⨽((≮⫘↔101100111100⨪↰⇹≮⫘↔111101110011)⨲∙)=NaN","reverse_text":"NaN=(((≮⫘↔11100100110⋳⪒≮⫘↔10001001110)⇗⋫)⫡⨏(≮⫘↔111100111111⪑⩈)⋳⪒≮⫘↔1001101000000⪚≮⫘↔1011111111110)∠↢((∤↝≮⫘↔11101011111)∛≔)⨽((≮⫘↔101100111100⨪↰⇹≮⫘↔111101110011)⨲∙)","cot":[{"info":"≮⫘↔11100100110⋳⪒≮⫘↔10001001110=≮⫘↔100011011111","layer":3},{"info":"≮⫘↔100011011111⇗⋫=NaN","layer":2},{"info":"≮⫘↔111100111111⪑⩈=≮⫘↔111000011101111","layer":3},{"info":"≮⫘↔1001101000000⪚≮⫘↔1011111111110=≮⫘↔-101011100000","layer":3},{"info":"≮⫘↔111000011101111⋳⪒≮⫘↔-101011100000=≮⫘↔1110101110011111","layer":2},{"info":"NaN⫡⨏≮⫘↔1110101110011111=NaN","layer":1},{"info":"∤↝≮⫘↔11101011111=≮⫘↔11101011111","layer":3},{"info":"≮⫘↔11101011111∛≔=≮⫘↔-11010101101100011101101001101","layer":2},{"info":"≮⫘↔101100111100⨪↰⇹≮⫘↔111101110011=≮⫘↔101100111100","layer":3},{"info":"≮⫘↔101100111100⨲∙=≮⫘↔10001101000110011010000110","layer":2},{"info":"≮⫘↔-11010101101100011101101001101⨽≮⫘↔10001101000110011010000110=-Inf","layer":1},{"info":"NaN∠↢-Inf=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"(($7769$→⨶⪴$3655$)≨($1599$⊧↖)⩨($6130$⇩)⫥∨⫟$1285$⋛$3369$)⪭(($2475$⪟⇏$1757$⊫∞)⫸⇳(↥≼⋛(⨭⩧⫛$2497$)))","expression":"((≮⫘↔1111001011001→⨶⪴≮⫘↔111001000111)≨(≮⫘↔11000111111⊧↖)⩨(≮⫘↔1011111110010⇩)⫥∨⫟≮⫘↔10100000101⋛≮⫘↔110100101001)⪭((≮⫘↔100110101011⪟⇏≮⫘↔11011011101⊫∞)⫸⇳(↥≼⋛(⨭⩧⫛≮⫘↔100111000001)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":91824,"operation_count":13,"complexity_ratio":7063.384615384615,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":7769,"base":2},"right_expr":{"type":"numeric_atoms","value":3655,"base":2}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1599,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":6130,"base":2}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1285,"base":2},"right_expr":{"type":"numeric_atoms","value":3369,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2475,"base":2},"right_expr":{"type":"numeric_atoms","value":1757,"base":2}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2497,"base":2}}}}},"used_operators":["j9kHMeSvPp","2DlMacCsIx","0KMCeP1Jsh","bF6eod5Gvf","EKiFHuOFxO","KYD54nUTWz","vRio1gEz1j","YbUVn0Rbpy","gx7XJ7hdpj","pABnYW3G3E","GODebY97qR","x5lMkHmzsq","g21JL6JxX7"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","8w2t5hMYqp","9FxExcQeMw","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"≮⫘↔101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7769","layer":4},{"info":"number node, value=3655","layer":4},{"info":"compute binary expreesion, left_input=7769, right_input=3655, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10965","layer":3},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=15347528","layer":3},{"info":"compute binary expreesion, left_input=-10965, right_input=15347528, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=22586","layer":2},{"info":"number node, value=6130","layer":4},{"info":"compute unary expreesion, input=6130, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=6223","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=3369, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-120627","layer":3},{"info":"compute binary expreesion, left_input=6223, right_input=-120627, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22586, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2475","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=1757, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=2497","layer":4},{"info":"compute unary expreesion, input=2497, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-113, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111001011001→⨶⪴≮⫘↔111001000111)≨(≮⫘↔11000111111⊧↖)⩨(≮⫘↔1011111110010⇩)⫥∨⫟≮⫘↔10100000101⋛≮⫘↔110100101001)⪭((≮⫘↔100110101011⪟⇏≮⫘↔11011011101⊫∞)⫸⇳(↥≼⋛(⨭⩧⫛≮⫘↔100111000001)))=≮⫘↔101","reverse_text":"≮⫘↔101=((≮⫘↔1111001011001→⨶⪴≮⫘↔111001000111)≨(≮⫘↔11000111111⊧↖)⩨(≮⫘↔1011111110010⇩)⫥∨⫟≮⫘↔10100000101⋛≮⫘↔110100101001)⪭((≮⫘↔100110101011⪟⇏≮⫘↔11011011101⊫∞)⫸⇳(↥≼⋛(⨭⩧⫛≮⫘↔100111000001)))","cot":[{"info":"≮⫘↔1111001011001→⨶⪴≮⫘↔111001000111=≮⫘↔-10101011010101","layer":3},{"info":"≮⫘↔11000111111⊧↖=≮⫘↔111010100010111101001000","layer":3},{"info":"≮⫘↔-10101011010101≨≮⫘↔111010100010111101001000=≮⫘↔101100000111010","layer":2},{"info":"≮⫘↔1011111110010⇩=≮⫘↔1100001001111","layer":3},{"info":"≮⫘↔10100000101⋛≮⫘↔110100101001=≮⫘↔-11101011100110011","layer":3},{"info":"≮⫘↔1100001001111⫥∨⫟≮⫘↔-11101011100110011=NaN","layer":2},{"info":"≮⫘↔101100000111010⩨NaN=NaN","layer":1},{"info":"≮⫘↔100110101011⪟⇏≮⫘↔11011011101=≮⫘↔-1","layer":3},{"info":"≮⫘↔-1⊫∞=≮⫘↔0","layer":2},{"info":"⨭⩧⫛≮⫘↔100111000001=NaN","layer":3},{"info":"↥≼⋛NaN=≮⫘↔-1110001","layer":2},{"info":"≮⫘↔0⫸⇳≮⫘↔-1110001=≮⫘↔0","layer":1},{"info":"NaN⪭≮⫘↔0=≮⫘↔101","layer":0}]}
{"id":259,"expression_no_base_symbol":"(↔($5184$⨼⩣$2860$)⨑⩅≇(⫓⪴$1022$))⩹$2674$⊢$1146$⩷∴(⪝⪂⫅$1111$)⩧⪆(⊆⋠$1290$)⊔$1982$⪝$1765$","expression":"(↔(≮⫘↔1010001000000⨼⩣≮⫘↔101100101100)⨑⩅≇(⫓⪴≮⫘↔1111111110))⩹≮⫘↔101001110010⊢≮⫘↔10001111010⩷∴(⪝⪂⫅≮⫘↔10001010111)⩧⪆(⊆⋠≮⫘↔10100001010)⊔≮⫘↔11110111110⪝≮⫘↔11011100101","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2172,"operation_count":12,"complexity_ratio":181.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5184,"base":2},"right_expr":{"type":"numeric_atoms","value":2860,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1022,"base":2}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2674,"base":2},"right_expr":{"type":"numeric_atoms","value":1146,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1111,"base":2}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1290,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1982,"base":2},"right_expr":{"type":"numeric_atoms","value":1765,"base":2}}}}},"used_operators":["2Wsdkap16l","ruOEQAzv1W","h92wMvzauj","JxwMv5le6e","eLxqMNBOBk","Ikt5ks8PT7","9FxExcQeMw","5twsqlHp2o","XTarYq4gQB","E4l6HwMY31","EBhcHTkKd8","wicAB68Tmb"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9HNa5Wba9A","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"≮⫘↔100001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5184","layer":4},{"info":"number node, value=2860","layer":4},{"info":"compute binary expreesion, left_input=5184, right_input=2860, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1044484","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1044484, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute unary expreesion, input=935, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-662","layer":1},{"info":"number node, value=2674","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=1146, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5592","layer":3},{"info":"number node, value=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-163317","layer":3},{"info":"compute binary expreesion, left_input=-5592, right_input=-163317, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=315418","layer":2},{"info":"number node, value=1290","layer":4},{"info":"compute unary expreesion, input=1290, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=1982","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=1765, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1267","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1267, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-35","layer":2},{"info":"compute binary expreesion, left_input=315418, right_input=-35, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=35","layer":1},{"info":"compute binary expreesion, left_input=-662, right_input=35, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=33","layer":0}],"base":2,"result_base":2,"text":"(↔(≮⫘↔1010001000000⨼⩣≮⫘↔101100101100)⨑⩅≇(⫓⪴≮⫘↔1111111110))⩹≮⫘↔101001110010⊢≮⫘↔10001111010⩷∴(⪝⪂⫅≮⫘↔10001010111)⩧⪆(⊆⋠≮⫘↔10100001010)⊔≮⫘↔11110111110⪝≮⫘↔11011100101=≮⫘↔100001","reverse_text":"≮⫘↔100001=(↔(≮⫘↔1010001000000⨼⩣≮⫘↔101100101100)⨑⩅≇(⫓⪴≮⫘↔1111111110))⩹≮⫘↔101001110010⊢≮⫘↔10001111010⩷∴(⪝⪂⫅≮⫘↔10001010111)⩧⪆(⊆⋠≮⫘↔10100001010)⊔≮⫘↔11110111110⪝≮⫘↔11011100101","cot":[{"info":"≮⫘↔1010001000000⨼⩣≮⫘↔101100101100=NaN","layer":3},{"info":"⫓⪴≮⫘↔1111111110=≮⫘↔11111111000000000100","layer":3},{"info":"NaN⨑⩅≇≮⫘↔11111111000000000100=≮⫘↔1110100111","layer":2},{"info":"↔≮⫘↔1110100111=≮⫘↔-1010010110","layer":1},{"info":"≮⫘↔101001110010⊢≮⫘↔10001111010=≮⫘↔-1010111011000","layer":3},{"info":"⪝⪂⫅≮⫘↔10001010111=≮⫘↔-100111110111110101","layer":3},{"info":"≮⫘↔-1010111011000⩷∴≮⫘↔-100111110111110101=≮⫘↔1001101000000011010","layer":2},{"info":"⊆⋠≮⫘↔10100001010=≮⫘↔0","layer":3},{"info":"≮⫘↔11110111110⪝≮⫘↔11011100101=≮⫘↔-10011110011","layer":3},{"info":"≮⫘↔0⊔≮⫘↔-10011110011=≮⫘↔-100011","layer":2},{"info":"≮⫘↔1001101000000011010⩧⪆≮⫘↔-100011=≮⫘↔100011","layer":1},{"info":"≮⫘↔-1010010110⩹≮⫘↔100011=≮⫘↔100001","layer":0}]}
{"id":260,"expression_no_base_symbol":"($3949$⨿$1866$⋻⩜⩜$3989$⨔≚≋$2433$)∴(($5904$⊝⪿⪼$3997$)∥⊢⊲($2374$≎⊠⪸$3120$))≀⩗∶($3536$⩦$2527$⊴$1410$⩁⩘$3518$∲⫓$2390$⨟⋌⩍$8172$⨔≚≋($2746$∸))","expression":"(≮⫘↔111101101101⨿≮⫘↔11101001010⋻⩜⩜≮⫘↔111110010101⨔≚≋≮⫘↔100110000001)∴((≮⫘↔1011100010000⊝⪿⪼≮⫘↔111110011101)∥⊢⊲(≮⫘↔100101000110≎⊠⪸≮⫘↔110000110000))≀⩗∶(≮⫘↔110111010000⩦≮⫘↔100111011111⊴≮⫘↔10110000010⩁⩘≮⫘↔110110111110∲⫓≮⫘↔100101010110⨟⋌⩍≮⫘↔1111111101100⨔≚≋(≮⫘↔101010111010∸))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":15981,"operation_count":15,"complexity_ratio":1065.4,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3949,"base":2},"right_expr":{"type":"numeric_atoms","value":1866,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3989,"base":2},"right_expr":{"type":"numeric_atoms","value":2433,"base":2}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5904,"base":2},"right_expr":{"type":"numeric_atoms","value":3997,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2374,"base":2},"right_expr":{"type":"numeric_atoms","value":3120,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3536,"base":2},"right_expr":{"type":"numeric_atoms","value":2527,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1410,"base":2},"right_expr":{"type":"numeric_atoms","value":3518,"base":2}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2390,"base":2},"right_expr":{"type":"numeric_atoms","value":8172,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2746,"base":2}}}}},"used_operators":["8INZBEW696","hrf7POJlIJ","oDCm7WA9JY","abYXlopdE0","Z57zeUYC9z","v1UQAVDJRr","3Oe9XWJUTD","bJkvcejdHO","i8ToyICDmI","Nsiff2A1zJ","0kmYd0q39Y","gub5Cegaqo","rGHVDoGpnC","o20kRiQErp"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","Tcnh7f0tEr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3949","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=3949, right_input=1866, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3989","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=3989, right_input=2433, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=9872, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3200","layer":2},{"info":"number node, value=5904","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=5904, right_input=3997, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=78602","layer":3},{"info":"number node, value=2374","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=3120, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=614393","layer":3},{"info":"compute binary expreesion, left_input=78602, right_input=614393, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3200, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8048","layer":1},{"info":"number node, value=3536","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=2527, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7072","layer":3},{"info":"number node, value=1410","layer":4},{"info":"number node, value=3518","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=3518, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=15020","layer":3},{"info":"compute binary expreesion, left_input=7072, right_input=15020, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2390","layer":4},{"info":"number node, value=8172","layer":4},{"info":"compute binary expreesion, left_input=2390, right_input=8172, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2746","layer":4},{"info":"compute unary expreesion, input=2746, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8048, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111101101101⨿≮⫘↔11101001010⋻⩜⩜≮⫘↔111110010101⨔≚≋≮⫘↔100110000001)∴((≮⫘↔1011100010000⊝⪿⪼≮⫘↔111110011101)∥⊢⊲(≮⫘↔100101000110≎⊠⪸≮⫘↔110000110000))≀⩗∶(≮⫘↔110111010000⩦≮⫘↔100111011111⊴≮⫘↔10110000010⩁⩘≮⫘↔110110111110∲⫓≮⫘↔100101010110⨟⋌⩍≮⫘↔1111111101100⨔≚≋(≮⫘↔101010111010∸))=NaN","reverse_text":"NaN=(≮⫘↔111101101101⨿≮⫘↔11101001010⋻⩜⩜≮⫘↔111110010101⨔≚≋≮⫘↔100110000001)∴((≮⫘↔1011100010000⊝⪿⪼≮⫘↔111110011101)∥⊢⊲(≮⫘↔100101000110≎⊠⪸≮⫘↔110000110000))≀⩗∶(≮⫘↔110111010000⩦≮⫘↔100111011111⊴≮⫘↔10110000010⩁⩘≮⫘↔110110111110∲⫓≮⫘↔100101010110⨟⋌⩍≮⫘↔1111111101100⨔≚≋(≮⫘↔101010111010∸))","cot":[{"info":"≮⫘↔111101101101⨿≮⫘↔11101001010=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔111110010101⨔≚≋≮⫘↔100110000001=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔-100111111⋻⩜⩜≮⫘↔10011010010000=≮⫘↔110010000000","layer":2},{"info":"≮⫘↔1011100010000⊝⪿⪼≮⫘↔111110011101=≮⫘↔10011001100001010","layer":3},{"info":"≮⫘↔100101000110≎⊠⪸≮⫘↔110000110000=≮⫘↔10010101111111111001","layer":3},{"info":"≮⫘↔10011001100001010∥⊢⊲≮⫘↔10010101111111111001=NaN","layer":2},{"info":"≮⫘↔110010000000∴NaN=≮⫘↔1111101110000","layer":1},{"info":"≮⫘↔110111010000⩦≮⫘↔100111011111=≮⫘↔1101110100000","layer":3},{"info":"≮⫘↔10110000010⩁⩘≮⫘↔110110111110=≮⫘↔11101010101100","layer":3},{"info":"≮⫘↔1101110100000⊴≮⫘↔11101010101100=NaN","layer":2},{"info":"≮⫘↔100101010110⨟⋌⩍≮⫘↔1111111101100=NaN","layer":3},{"info":"≮⫘↔101010111010∸=≮⫘↔10110001","layer":3},{"info":"NaN⨔≚≋≮⫘↔10110001=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔1111101110000≀⩗∶NaN=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"((($1376$≄⊠$4882$)⪗)⨴∎)⫘(((↞≼$8013$)⊓⋫)∁)","expression":"(((≮⫘↔10101100000≄⊠≮⫘↔1001100010010)⪗)⨴∎)⫘(((↞≼≮⫘↔1111101001101)⊓⋫)∁)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":82951,"operation_count":7,"complexity_ratio":11850.142857142857,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1376,"base":2},"right_expr":{"type":"numeric_atoms","value":4882,"base":2}}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":8013,"base":2}}}}},"used_operators":["48vC8HMD2b","CpSg5vQTgA","VEQNXA0ZBg","vXNesLlMH1","jdwGQqwJi5","IqGBaFP0uj","DE7zCoGJt9"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","dWAJyo7jo9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2DDjHMKMc0","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":4},{"info":"number node, value=4882","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=4882, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=82780","layer":3},{"info":"compute unary expreesion, input=82780, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":1},{"info":"number node, value=8013","layer":4},{"info":"compute unary expreesion, input=8013, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=63690","layer":3},{"info":"compute unary expreesion, input=63690, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-63818","layer":2},{"info":"compute unary expreesion, input=-63818, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-63818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-63818, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10101100000≄⊠≮⫘↔1001100010010)⪗)⨴∎)⫘(((↞≼≮⫘↔1111101001101)⊓⋫)∁)=NaN","reverse_text":"NaN=(((≮⫘↔10101100000≄⊠≮⫘↔1001100010010)⪗)⨴∎)⫘(((↞≼≮⫘↔1111101001101)⊓⋫)∁)","cot":[{"info":"≮⫘↔10101100000≄⊠≮⫘↔1001100010010=≮⫘↔10100001101011100","layer":3},{"info":"≮⫘↔10100001101011100⪗=NaN","layer":2},{"info":"NaN⨴∎=NaN","layer":1},{"info":"↞≼≮⫘↔1111101001101=≮⫘↔1111100011001010","layer":3},{"info":"≮⫘↔1111100011001010⊓⋫=≮⫘↔-1111100101001010","layer":2},{"info":"≮⫘↔-1111100101001010∁=≮⫘↔-1111100101001010","layer":1},{"info":"NaN⫘≮⫘↔-1111100101001010=NaN","layer":0}]}
{"id":262,"expression_no_base_symbol":"⫶⊄≣(($4197$⪉⨛$1778$)⇍⊗($1103$⪶≀⋏$1605$)↺($1900$⪍↜⋙$1512$)⩌⋺$3166$⊮⊟↴$3440$)","expression":"⫶⊄≣((≮⫘↔1000001100101⪉⨛≮⫘↔11011110010)⇍⊗(≮⫘↔10001001111⪶≀⋏≮⫘↔11001000101)↺(≮⫘↔11101101100⪍↜⋙≮⫘↔10111101000)⩌⋺≮⫘↔110001011110⊮⊟↴≮⫘↔110101110000)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1487,"operation_count":8,"complexity_ratio":185.875,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4197,"base":2},"right_expr":{"type":"numeric_atoms","value":1778,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1103,"base":2},"right_expr":{"type":"numeric_atoms","value":1605,"base":2}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1900,"base":2},"right_expr":{"type":"numeric_atoms","value":1512,"base":2}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3166,"base":2},"right_expr":{"type":"numeric_atoms","value":3440,"base":2}}}}},"used_operators":["wxb3vTeyAj","7j4O788W3g","5uvYHDjeKN","EWw2JM7wp4","zR4jO40bMj","g7Hmc5v1ko","L05ObWFQCd","QDVgd2eftb"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"≮⫘↔110111001011001000010001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4197","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=4197, right_input=1778, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11028","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1605, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6751","layer":3},{"info":"compute binary expreesion, left_input=11028, right_input=-6751, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=1900","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=1900, right_input=1512, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=776","layer":3},{"info":"number node, value=3166","layer":4},{"info":"number node, value=3440","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=3440, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=776, right_input=0, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-897","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-897, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-897","layer":1},{"info":"compute unary expreesion, input=-897, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=14463505","layer":0}],"base":2,"result_base":2,"text":"⫶⊄≣((≮⫘↔1000001100101⪉⨛≮⫘↔11011110010)⇍⊗(≮⫘↔10001001111⪶≀⋏≮⫘↔11001000101)↺(≮⫘↔11101101100⪍↜⋙≮⫘↔10111101000)⩌⋺≮⫘↔110001011110⊮⊟↴≮⫘↔110101110000)=≮⫘↔110111001011001000010001","reverse_text":"≮⫘↔110111001011001000010001=⫶⊄≣((≮⫘↔1000001100101⪉⨛≮⫘↔11011110010)⇍⊗(≮⫘↔10001001111⪶≀⋏≮⫘↔11001000101)↺(≮⫘↔11101101100⪍↜⋙≮⫘↔10111101000)⩌⋺≮⫘↔110001011110⊮⊟↴≮⫘↔110101110000)","cot":[{"info":"≮⫘↔1000001100101⪉⨛≮⫘↔11011110010=≮⫘↔10101100010100","layer":3},{"info":"≮⫘↔10001001111⪶≀⋏≮⫘↔11001000101=≮⫘↔-1101001011111","layer":3},{"info":"≮⫘↔10101100010100⇍⊗≮⫘↔-1101001011111=≮⫘↔-11110100","layer":2},{"info":"≮⫘↔11101101100⪍↜⋙≮⫘↔10111101000=≮⫘↔1100001000","layer":3},{"info":"≮⫘↔110001011110⊮⊟↴≮⫘↔110101110000=≮⫘↔0","layer":3},{"info":"≮⫘↔1100001000⩌⋺≮⫘↔0=≮⫘↔-1110000001","layer":2},{"info":"≮⫘↔-11110100↺≮⫘↔-1110000001=≮⫘↔-1110000001","layer":1},{"info":"⫶⊄≣≮⫘↔-1110000001=≮⫘↔110111001011001000010001","layer":0}]}
{"id":263,"expression_no_base_symbol":"⫖→(($6657$∖$2624$)⪍↜⋙($3379$⇼⇔∾$4195$))∘((⊤⊝$4675$)⪨⊡(≉$2686$))","expression":"⫖→((≮⫘↔1101000000001∖≮⫘↔101001000000)⪍↜⋙(≮⫘↔110100110011⇼⇔∾≮⫘↔1000001100011))∘((⊤⊝≮⫘↔1001001000011)⪨⊡(≉≮⫘↔101001111110))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3427,"operation_count":8,"complexity_ratio":428.375,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6657,"base":2},"right_expr":{"type":"numeric_atoms","value":2624,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3379,"base":2},"right_expr":{"type":"numeric_atoms","value":4195,"base":2}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":4675,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2686,"base":2}}}}},"used_operators":["U4ylXWHChL","Z5m6OM72h2","L05ObWFQCd","tXD093vOjl","tifHPKVTfV","kuIXHzHcAH","rXAclfmB4M","e1ybzncUwg"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6657","layer":4},{"info":"number node, value=2624","layer":4},{"info":"compute binary expreesion, left_input=6657, right_input=2624, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=3379","layer":4},{"info":"number node, value=4195","layer":4},{"info":"compute binary expreesion, left_input=3379, right_input=4195, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=816","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=816, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-2415","layer":2},{"info":"number node, value=4675","layer":4},{"info":"compute unary expreesion, input=4675, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=8052","layer":3},{"info":"number node, value=2686","layer":4},{"info":"compute unary expreesion, input=2686, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3217","layer":3},{"info":"compute binary expreesion, left_input=8052, right_input=3217, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2415, right_input=0, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2795","layer":1},{"info":"compute unary expreesion, input=2795, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":2,"result_base":2,"text":"⫖→((≮⫘↔1101000000001∖≮⫘↔101001000000)⪍↜⋙(≮⫘↔110100110011⇼⇔∾≮⫘↔1000001100011))∘((⊤⊝≮⫘↔1001001000011)⪨⊡(≉≮⫘↔101001111110))=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=⫖→((≮⫘↔1101000000001∖≮⫘↔101001000000)⪍↜⋙(≮⫘↔110100110011⇼⇔∾≮⫘↔1000001100011))∘((⊤⊝≮⫘↔1001001000011)⪨⊡(≉≮⫘↔101001111110))","cot":[{"info":"≮⫘↔1101000000001∖≮⫘↔101001000000=≮⫘↔0","layer":3},{"info":"≮⫘↔110100110011⇼⇔∾≮⫘↔1000001100011=≮⫘↔1100110000","layer":3},{"info":"≮⫘↔0⪍↜⋙≮⫘↔1100110000=≮⫘↔-100101101111","layer":2},{"info":"⊤⊝≮⫘↔1001001000011=≮⫘↔1111101110100","layer":3},{"info":"≉≮⫘↔101001111110=≮⫘↔110010010001","layer":3},{"info":"≮⫘↔1111101110100⪨⊡≮⫘↔110010010001=≮⫘↔0","layer":2},{"info":"≮⫘↔-100101101111∘≮⫘↔0=≮⫘↔101011101011","layer":1},{"info":"⫖→≮⫘↔101011101011=≮⫘↔10110001","layer":0}]}
{"id":264,"expression_no_base_symbol":"(⋗⩴⪓($3929$≭$1003$)⨐($1037$⩁⩘$5754$))⫚⫇","expression":"(⋗⩴⪓(≮⫘↔111101011001≭≮⫘↔1111101011)⨐(≮⫘↔10000001101⩁⩘≮⫘↔1011001111010))⫚⫇","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":82,"operation_count":5,"complexity_ratio":16.4,"tree":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3929,"base":2},"right_expr":{"type":"numeric_atoms","value":1003,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1037,"base":2},"right_expr":{"type":"numeric_atoms","value":5754,"base":2}}}}},"used_operators":["SdCjLnB6rR","nOKPl9n5zu","Noe24qw2ks","rxpJgHHUmx","gub5Cegaqo"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3929","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=1003, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=5754","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=5754, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=23964","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23964, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋗⩴⪓(≮⫘↔111101011001≭≮⫘↔1111101011)⨐(≮⫘↔10000001101⩁⩘≮⫘↔1011001111010))⫚⫇=NaN","reverse_text":"NaN=(⋗⩴⪓(≮⫘↔111101011001≭≮⫘↔1111101011)⨐(≮⫘↔10000001101⩁⩘≮⫘↔1011001111010))⫚⫇","cot":[{"info":"≮⫘↔111101011001≭≮⫘↔1111101011=NaN","layer":3},{"info":"≮⫘↔10000001101⩁⩘≮⫘↔1011001111010=≮⫘↔101110110011100","layer":3},{"info":"NaN⨐≮⫘↔101110110011100=NaN","layer":2},{"info":"⋗⩴⪓NaN=NaN","layer":1},{"info":"NaN⫚⫇=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"($1166$↳≱$3677$⫘($2334$+⪬∐$1378$)≫≃)⨽($2367$⫏⊷)⪕$3886$≚⊃≕$2325$⨎($1685$⋭≵$2866$)↹⊜(⇈$1986$)","expression":"(≮⫘↔10010001110↳≱≮⫘↔111001011101⫘(≮⫘↔100100011110+⪬∐≮⫘↔10101100010)≫≃)⨽(≮⫘↔100100111111⫏⊷)⪕≮⫘↔111100101110≚⊃≕≮⫘↔100100010101⨎(≮⫘↔11010010101⋭≵≮⫘↔101100110010)↹⊜(⇈≮⫘↔11111000010)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8594,"operation_count":12,"complexity_ratio":716.1666666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1166,"base":2},"right_expr":{"type":"numeric_atoms","value":3677,"base":2}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2334,"base":2},"right_expr":{"type":"numeric_atoms","value":1378,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":2367,"base":2}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3886,"base":2},"right_expr":{"type":"numeric_atoms","value":2325,"base":2}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1685,"base":2},"right_expr":{"type":"numeric_atoms","value":2866,"base":2}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1986,"base":2}}}}},"used_operators":["8HhzD0ZcuI","X99M06cbEe","48vC8HMD2b","JwTKLfZU96","2GS7woTJqF","rJVOvQCfKK","umQnsF7QlU","dcShxvzhyw","Bmrmz2XGnR","9bazX3JMtO","jBncVCNhdl","SLLxy00UIr"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","g55IO6H4Gj","D4vGDi5EA2","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"number node, value=3677","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=3677, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2334","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=1378, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7002","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7002, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=3886","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=2325, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=67, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=1685","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=2866, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1986","layer":4},{"info":"compute unary expreesion, input=1986, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-447, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3480","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=3480, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3480, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010001110↳≱≮⫘↔111001011101⫘(≮⫘↔100100011110+⪬∐≮⫘↔10101100010)≫≃)⨽(≮⫘↔100100111111⫏⊷)⪕≮⫘↔111100101110≚⊃≕≮⫘↔100100010101⨎(≮⫘↔11010010101⋭≵≮⫘↔101100110010)↹⊜(⇈≮⫘↔11111000010)=NaN","reverse_text":"NaN=(≮⫘↔10010001110↳≱≮⫘↔111001011101⫘(≮⫘↔100100011110+⪬∐≮⫘↔10101100010)≫≃)⨽(≮⫘↔100100111111⫏⊷)⪕≮⫘↔111100101110≚⊃≕≮⫘↔100100010101⨎(≮⫘↔11010010101⋭≵≮⫘↔101100110010)↹⊜(⇈≮⫘↔11111000010)","cot":[{"info":"≮⫘↔10010001110↳≱≮⫘↔111001011101=≮⫘↔0","layer":3},{"info":"≮⫘↔100100011110+⪬∐≮⫘↔10101100010=≮⫘↔-1101101011010","layer":3},{"info":"≮⫘↔0⫘≮⫘↔-1101101011010=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"≮⫘↔100100111111⫏⊷=≮⫘↔-1100110100","layer":3},{"info":"≮⫘↔111100101110≚⊃≕≮⫘↔100100010101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔-1100110100⪕≮⫘↔1000011=≮⫘↔-110111","layer":2},{"info":"≮⫘↔11010010101⋭≵≮⫘↔101100110010=≮⫘↔1000011","layer":3},{"info":"⇈≮⫘↔11111000010=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔1000011↹⊜≮⫘↔-110111111=≮⫘↔110110011000","layer":2},{"info":"≮⫘↔-110111⨎≮⫘↔110110011000=≮⫘↔110110011000","layer":1},{"info":"NaN⨽≮⫘↔110110011000=NaN","layer":0}]}
{"id":266,"expression_no_base_symbol":"($1697$≀⫉$1195$)⊬⨰(⊢≑≆$5593$)∇⊂⋱($8251$≨$2872$⋷$1480$⨜⨶$3210$)⇮⋭$2439$≌$4396$⇄($1977$⨕⋳)⋳⪒(⇐($5819$⫘$1220$))","expression":"(≮⫘↔11010100001≀⫉≮⫘↔10010101011)⊬⨰(⊢≑≆≮⫘↔1010111011001)∇⊂⋱(≮⫘↔10000000111011≨≮⫘↔101100111000⋷≮⫘↔10111001000⨜⨶≮⫘↔110010001010)⇮⋭≮⫘↔100110000111≌≮⫘↔1000100101100⇄(≮⫘↔11110111001⨕⋳)⋳⪒(⇐(≮⫘↔1011010111011⫘≮⫘↔10011000100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11027,"operation_count":14,"complexity_ratio":787.6428571428571,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1697,"base":2},"right_expr":{"type":"numeric_atoms","value":1195,"base":2}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":5593,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":8251,"base":2},"right_expr":{"type":"numeric_atoms","value":2872,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1480,"base":2},"right_expr":{"type":"numeric_atoms","value":3210,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2439,"base":2},"right_expr":{"type":"numeric_atoms","value":4396,"base":2}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1977,"base":2}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5819,"base":2},"right_expr":{"type":"numeric_atoms","value":1220,"base":2}}}}},"used_operators":["vkpjKywKVM","nhYeJWJD5X","s3Fd5m9Dh2","oZj3VtZNQx","27wFxooxGf","23Mk6UjR3U","0KMCeP1Jsh","HiPekx5b7W","12rbrZMWeM","3EYGwJThht","lyWz822IDG","4X4GscPmMf","nmZMaaE0Q9","48vC8HMD2b"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1697","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=1195, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5593","layer":4},{"info":"compute unary expreesion, input=5593, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=22824","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=22824, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=93062","layer":2},{"info":"number node, value=8251","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=8251, right_input=2872, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-80034","layer":3},{"info":"number node, value=1480","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=3210, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6164","layer":3},{"info":"compute binary expreesion, left_input=-80034, right_input=-6164, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=160068","layer":2},{"info":"compute binary expreesion, left_input=93062, right_input=160068, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=185578","layer":1},{"info":"number node, value=2439","layer":4},{"info":"number node, value=4396","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=4396, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1977","layer":4},{"info":"compute unary expreesion, input=1977, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=93604","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=93604, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"number node, value=5819","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=5819, right_input=1220, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6847549","layer":3},{"info":"compute unary expreesion, input=6847549, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=13684192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13684192, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=185578, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11010100001≀⫉≮⫘↔10010101011)⊬⨰(⊢≑≆≮⫘↔1010111011001)∇⊂⋱(≮⫘↔10000000111011≨≮⫘↔101100111000⋷≮⫘↔10111001000⨜⨶≮⫘↔110010001010)⇮⋭≮⫘↔100110000111≌≮⫘↔1000100101100⇄(≮⫘↔11110111001⨕⋳)⋳⪒(⇐(≮⫘↔1011010111011⫘≮⫘↔10011000100))=NaN","reverse_text":"NaN=(≮⫘↔11010100001≀⫉≮⫘↔10010101011)⊬⨰(⊢≑≆≮⫘↔1010111011001)∇⊂⋱(≮⫘↔10000000111011≨≮⫘↔101100111000⋷≮⫘↔10111001000⨜⨶≮⫘↔110010001010)⇮⋭≮⫘↔100110000111≌≮⫘↔1000100101100⇄(≮⫘↔11110111001⨕⋳)⋳⪒(⇐(≮⫘↔1011010111011⫘≮⫘↔10011000100))","cot":[{"info":"≮⫘↔11010100001≀⫉≮⫘↔10010101011=≮⫘↔101100000110","layer":3},{"info":"⊢≑≆≮⫘↔1010111011001=≮⫘↔101100100101000","layer":3},{"info":"≮⫘↔101100000110⊬⨰≮⫘↔101100100101000=≮⫘↔10110101110000110","layer":2},{"info":"≮⫘↔10000000111011≨≮⫘↔101100111000=≮⫘↔-10011100010100010","layer":3},{"info":"≮⫘↔10111001000⨜⨶≮⫘↔110010001010=≮⫘↔-1100000010100","layer":3},{"info":"≮⫘↔-10011100010100010⋷≮⫘↔-1100000010100=≮⫘↔100111000101000100","layer":2},{"info":"≮⫘↔10110101110000110∇⊂⋱≮⫘↔100111000101000100=≮⫘↔101101010011101010","layer":1},{"info":"≮⫘↔100110000111≌≮⫘↔1000100101100=NaN","layer":3},{"info":"≮⫘↔11110111001⨕⋳=≮⫘↔10110110110100100","layer":3},{"info":"NaN⇄≮⫘↔10110110110100100=NaN","layer":2},{"info":"≮⫘↔1011010111011⫘≮⫘↔10011000100=≮⫘↔11010000111110000111101","layer":3},{"info":"⇐≮⫘↔11010000111110000111101=≮⫘↔110100001100110111100000","layer":2},{"info":"NaN⋳⪒≮⫘↔110100001100110111100000=NaN","layer":1},{"info":"≮⫘↔101101010011101010⇮⋭NaN=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"(⊆⋠($1042$↤⩊$1818$∖$6528$⊔$4604$))↞⋁(⫟($4264$∓⋝$3353$)∥⊢⊲($1122$⇴∐$2032$))","expression":"(⊆⋠(≮⫘↔10000010010↤⩊≮⫘↔11100011010∖≮⫘↔1100110000000⊔≮⫘↔1000111111100))↞⋁(⫟(≮⫘↔1000010101000∓⋝≮⫘↔110100011001)∥⊢⊲(≮⫘↔10001100010⇴∐≮⫘↔11111110000))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3304,"operation_count":9,"complexity_ratio":367.1111111111111,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1042,"base":2},"right_expr":{"type":"numeric_atoms","value":1818,"base":2}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":6528,"base":2},"right_expr":{"type":"numeric_atoms","value":4604,"base":2}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4264,"base":2},"right_expr":{"type":"numeric_atoms","value":3353,"base":2}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1122,"base":2},"right_expr":{"type":"numeric_atoms","value":2032,"base":2}}}}},"used_operators":["RqrPlJkxDo","EBhcHTkKd8","tXD093vOjl","13rbtpv6ld","E4l6HwMY31","z4E1FaHLuy","v1UQAVDJRr","PoHhknlbAi","HnzytWxmAO"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1818, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=6528","layer":4},{"info":"number node, value=4604","layer":4},{"info":"compute binary expreesion, left_input=6528, right_input=4604, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=33676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=33676, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":1},{"info":"number node, value=4264","layer":4},{"info":"number node, value=3353","layer":4},{"info":"compute binary expreesion, left_input=4264, right_input=3353, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2032, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=348, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊆⋠(≮⫘↔10000010010↤⩊≮⫘↔11100011010∖≮⫘↔1100110000000⊔≮⫘↔1000111111100))↞⋁(⫟(≮⫘↔1000010101000∓⋝≮⫘↔110100011001)∥⊢⊲(≮⫘↔10001100010⇴∐≮⫘↔11111110000))=NaN","reverse_text":"NaN=(⊆⋠(≮⫘↔10000010010↤⩊≮⫘↔11100011010∖≮⫘↔1100110000000⊔≮⫘↔1000111111100))↞⋁(⫟(≮⫘↔1000010101000∓⋝≮⫘↔110100011001)∥⊢⊲(≮⫘↔10001100010⇴∐≮⫘↔11111110000))","cot":[{"info":"≮⫘↔10000010010↤⩊≮⫘↔11100011010=NaN","layer":3},{"info":"≮⫘↔1100110000000⊔≮⫘↔1000111111100=≮⫘↔1000001110001100","layer":3},{"info":"NaN∖≮⫘↔1000001110001100=≮⫘↔0","layer":2},{"info":"⊆⋠≮⫘↔0=≮⫘↔101011100","layer":1},{"info":"≮⫘↔1000010101000∓⋝≮⫘↔110100011001=≮⫘↔1000011","layer":3},{"info":"≮⫘↔10001100010⇴∐≮⫘↔11111110000=NaN","layer":3},{"info":"≮⫘↔1000011∥⊢⊲NaN=NaN","layer":2},{"info":"⫟NaN=NaN","layer":1},{"info":"≮⫘↔101011100↞⋁NaN=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"⨩∲⋌(⊲⪭(($2462$∷$1104$)⋥⋵⩄($2416$-$1756$)))","expression":"⨩∲⋌(⊲⪭((≮⫘↔100110011110∷≮⫘↔10001010000)⋥⋵⩄(≮⫘↔100101110000-≮⫘↔11011011100)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":34,"operation_count":5,"complexity_ratio":6.8,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2462,"base":2},"right_expr":{"type":"numeric_atoms","value":1104,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2416,"base":2},"right_expr":{"type":"numeric_atoms","value":1756,"base":2}}}}},"used_operators":["aSik1wnThz","k7HXdKtiEU","7t3wd0Fuz7","D3AQDKkPcf","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","i8ToyICDmI","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≮⫘↔-110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2462","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=1104, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1104","layer":3},{"info":"number node, value=2416","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1756, op_id = rysDP5nf3Z binary_op_definition= 'None', output=660","layer":3},{"info":"compute binary expreesion, left_input=1104, right_input=660, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-287","layer":1},{"info":"compute unary expreesion, input=-287, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-50","layer":0}],"base":2,"result_base":2,"text":"⨩∲⋌(⊲⪭((≮⫘↔100110011110∷≮⫘↔10001010000)⋥⋵⩄(≮⫘↔100101110000-≮⫘↔11011011100)))=≮⫘↔-110010","reverse_text":"≮⫘↔-110010=⨩∲⋌(⊲⪭((≮⫘↔100110011110∷≮⫘↔10001010000)⋥⋵⩄(≮⫘↔100101110000-≮⫘↔11011011100)))","cot":[{"info":"≮⫘↔100110011110∷≮⫘↔10001010000=≮⫘↔10001010000","layer":3},{"info":"≮⫘↔100101110000-≮⫘↔11011011100=≮⫘↔1010010100","layer":3},{"info":"≮⫘↔10001010000⋥⋵⩄≮⫘↔1010010100=≮⫘↔1110001","layer":2},{"info":"⊲⪭≮⫘↔1110001=≮⫘↔-100011111","layer":1},{"info":"⨩∲⋌≮⫘↔-100011111=≮⫘↔-110010","layer":0}]}
{"id":269,"expression_no_base_symbol":"$2380$⋥⋵⩄$2285$∛$3313$⫯⪬∳$3342$⨓(($1342$⨒$4225$)∑⇟⊟(⫵↿$2437$))⩒⫫((⫟$1043$)⋳⪒$3851$⪨⊡$3290$)⫁⪎(⩷$1297$)↢($3779$≹⇙⪍$1605$)","expression":"≮⫘↔100101001100⋥⋵⩄≮⫘↔100011101101∛≮⫘↔110011110001⫯⪬∳≮⫘↔110100001110⨓((≮⫘↔10100111110⨒≮⫘↔1000010000001)∑⇟⊟(⫵↿≮⫘↔100110000101))⩒⫫((⫟≮⫘↔10000010011)⋳⪒≮⫘↔111100001011⪨⊡≮⫘↔110011011010)⫁⪎(⩷≮⫘↔10100010001)↢(≮⫘↔111011000011≹⇙⪍≮⫘↔11001000101)","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":19313,"operation_count":15,"complexity_ratio":1287.5333333333333,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2380,"base":2},"right_expr":{"type":"numeric_atoms","value":2285,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3313,"base":2},"right_expr":{"type":"numeric_atoms","value":3342,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1342,"base":2},"right_expr":{"type":"numeric_atoms","value":4225,"base":2}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2437,"base":2}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1043,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3851,"base":2},"right_expr":{"type":"numeric_atoms","value":3290,"base":2}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1297,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3779,"base":2},"right_expr":{"type":"numeric_atoms","value":1605,"base":2}}}}},"used_operators":["KFSx94NKJn","3ViojmjbAp","w2537kitQq","7t3wd0Fuz7","d7ASUq0ydm","U7g4x0WXJJ","y75s1iXyHd","ivGwdmUAux","xRrnTEsQ6j","12rbrZMWeM","z4E1FaHLuy","kuIXHzHcAH","WR6HLWljOP","1h0rLqGiFr","AHs5Up7iyr"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2380","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=2285, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=3313","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=3313, right_input=3342, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13256","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=13256, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=4225","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=4225, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7680","layer":3},{"info":"number node, value=2437","layer":4},{"info":"compute unary expreesion, input=2437, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=-7680, right_input=137, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-2222","layer":3},{"info":"number node, value=3851","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=3851, right_input=3290, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2222, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4731","layer":2},{"info":"number node, value=1297","layer":4},{"info":"compute unary expreesion, input=1297, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-15643","layer":3},{"info":"number node, value=3779","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=3779, right_input=1605, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15643, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4731, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔100101001100⋥⋵⩄≮⫘↔100011101101∛≮⫘↔110011110001⫯⪬∳≮⫘↔110100001110⨓((≮⫘↔10100111110⨒≮⫘↔1000010000001)∑⇟⊟(⫵↿≮⫘↔100110000101))⩒⫫((⫟≮⫘↔10000010011)⋳⪒≮⫘↔111100001011⪨⊡≮⫘↔110011011010)⫁⪎(⩷≮⫘↔10100010001)↢(≮⫘↔111011000011≹⇙⪍≮⫘↔11001000101)=NaN","reverse_text":"NaN=≮⫘↔100101001100⋥⋵⩄≮⫘↔100011101101∛≮⫘↔110011110001⫯⪬∳≮⫘↔110100001110⨓((≮⫘↔10100111110⨒≮⫘↔1000010000001)∑⇟⊟(⫵↿≮⫘↔100110000101))⩒⫫((⫟≮⫘↔10000010011)⋳⪒≮⫘↔111100001011⪨⊡≮⫘↔110011011010)⫁⪎(⩷≮⫘↔10100010001)↢(≮⫘↔111011000011≹⇙⪍≮⫘↔11001000101)","cot":[{"info":"≮⫘↔100101001100⋥⋵⩄≮⫘↔100011101101=≮⫘↔1110001","layer":3},{"info":"≮⫘↔110011110001⫯⪬∳≮⫘↔110100001110=≮⫘↔11001111001000","layer":3},{"info":"≮⫘↔1110001∛≮⫘↔11001111001000=≮⫘↔-1010100100","layer":2},{"info":"≮⫘↔10100111110⨒≮⫘↔1000010000001=≮⫘↔-1111000000000","layer":3},{"info":"⫵↿≮⫘↔100110000101=≮⫘↔10001001","layer":3},{"info":"≮⫘↔-1111000000000∑⇟⊟≮⫘↔10001001=NaN","layer":2},{"info":"≮⫘↔-1010100100⨓NaN=NaN","layer":1},{"info":"⫟≮⫘↔10000010011=≮⫘↔-100010101110","layer":3},{"info":"≮⫘↔111100001011⪨⊡≮⫘↔110011011010=≮⫘↔0","layer":3},{"info":"≮⫘↔-100010101110⋳⪒≮⫘↔0=≮⫘↔-1001001111011","layer":2},{"info":"⩷≮⫘↔10100010001=≮⫘↔-11110100011011","layer":3},{"info":"≮⫘↔111011000011≹⇙⪍≮⫘↔11001000101=NaN","layer":3},{"info":"≮⫘↔-11110100011011↢NaN=NaN","layer":2},{"info":"≮⫘↔-1001001111011⫁⪎NaN=NaN","layer":1},{"info":"NaN⩒⫫NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"($1131$⩭)↞⋁($2417$⨿$4589$)∓⋝($3821$⪛$1349$-$5541$⊱⇼⊻$3630$)⊬⨰(((⩷⨜⫀$1888$)⨎($3893$⨵⪆$4129$))≨((∤↝$9221$)⪎⩰))","expression":"(≮⫘↔10001101011⩭)↞⋁(≮⫘↔100101110001⨿≮⫘↔1000111101101)∓⋝(≮⫘↔111011101101⪛≮⫘↔10101000101-≮⫘↔1010110100101⊱⇼⊻≮⫘↔111000101110)⊬⨰(((⩷⨜⫀≮⫘↔11101100000)⨎(≮⫘↔111100110101⨵⪆≮⫘↔1000000100001))≨((∤↝≮⫘↔10010000000101)⪎⩰))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30753,"operation_count":14,"complexity_ratio":2196.6428571428573,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1131,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2417,"base":2},"right_expr":{"type":"numeric_atoms","value":4589,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3821,"base":2},"right_expr":{"type":"numeric_atoms","value":1349,"base":2}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5541,"base":2},"right_expr":{"type":"numeric_atoms","value":3630,"base":2}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1888,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3893,"base":2},"right_expr":{"type":"numeric_atoms","value":4129,"base":2}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":9221,"base":2}}}}},"used_operators":["s3Fd5m9Dh2","PoHhknlbAi","RqrPlJkxDo","yIPP7u6H5x","abYXlopdE0","rysDP5nf3Z","uFcxV4UQCh","FyVja0WsTP","0KMCeP1Jsh","rJVOvQCfKK","CDi0ktkjQ4","2DQ55sFlQl","2ufhKmSs5H","3UMq87Qwqg"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"≮⫘↔111000110110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=2417","layer":4},{"info":"number node, value=4589","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=4589, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=3821","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=1349, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1123","layer":3},{"info":"number node, value=5541","layer":4},{"info":"number node, value=3630","layer":4},{"info":"compute binary expreesion, left_input=5541, right_input=3630, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=1123, right_input=434, op_id = rysDP5nf3Z binary_op_definition= 'None', output=689","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=689, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1888","layer":4},{"info":"compute unary expreesion, input=1888, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1615","layer":3},{"info":"number node, value=3893","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=4129, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1615, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":2},{"info":"number node, value=9221","layer":4},{"info":"compute unary expreesion, input=9221, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=9221","layer":3},{"info":"compute unary expreesion, input=9221, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-34, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=876","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=876, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=3638","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001101011⩭)↞⋁(≮⫘↔100101110001⨿≮⫘↔1000111101101)∓⋝(≮⫘↔111011101101⪛≮⫘↔10101000101-≮⫘↔1010110100101⊱⇼⊻≮⫘↔111000101110)⊬⨰(((⩷⨜⫀≮⫘↔11101100000)⨎(≮⫘↔111100110101⨵⪆≮⫘↔1000000100001))≨((∤↝≮⫘↔10010000000101)⪎⩰))=≮⫘↔111000110110","reverse_text":"≮⫘↔111000110110=(≮⫘↔10001101011⩭)↞⋁(≮⫘↔100101110001⨿≮⫘↔1000111101101)∓⋝(≮⫘↔111011101101⪛≮⫘↔10101000101-≮⫘↔1010110100101⊱⇼⊻≮⫘↔111000101110)⊬⨰(((⩷⨜⫀≮⫘↔11101100000)⨎(≮⫘↔111100110101⨵⪆≮⫘↔1000000100001))≨((∤↝≮⫘↔10010000000101)⪎⩰))","cot":[{"info":"≮⫘↔10001101011⩭=NaN","layer":3},{"info":"≮⫘↔100101110001⨿≮⫘↔1000111101101=≮⫘↔-100111111","layer":3},{"info":"NaN↞⋁≮⫘↔-100111111=NaN","layer":2},{"info":"≮⫘↔111011101101⪛≮⫘↔10101000101=≮⫘↔10001100011","layer":3},{"info":"≮⫘↔1010110100101⊱⇼⊻≮⫘↔111000101110=≮⫘↔110110010","layer":3},{"info":"≮⫘↔10001100011-≮⫘↔110110010=≮⫘↔1010110001","layer":2},{"info":"NaN∓⋝≮⫘↔1010110001=≮⫘↔1000011","layer":1},{"info":"⩷⨜⫀≮⫘↔11101100000=≮⫘↔-11001001111","layer":3},{"info":"≮⫘↔111100110101⨵⪆≮⫘↔1000000100001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-11001001111⨎≮⫘↔10100000=≮⫘↔10100000","layer":2},{"info":"∤↝≮⫘↔10010000000101=≮⫘↔10010000000101","layer":3},{"info":"≮⫘↔10010000000101⪎⩰=≮⫘↔-100010","layer":2},{"info":"≮⫘↔10100000≨≮⫘↔-100010=≮⫘↔1101101100","layer":1},{"info":"≮⫘↔1000011⊬⨰≮⫘↔1101101100=≮⫘↔111000110110","layer":0}]}
{"id":271,"expression_no_base_symbol":"(⊥(⪹$8368$))≎⊠⪸(↡$3962$↞⋁$1170$)⨵⪆((⊲⪭$5575$)∴($4187$∲⫓$1288$))⨿((≉$2987$)⫒⫫($2307$⋝⋈⪟$4216$))","expression":"(⊥(⪹≮⫘↔10000010110000))≎⊠⪸(↡≮⫘↔111101111010↞⋁≮⫘↔10010010010)⨵⪆((⊲⪭≮⫘↔1010111000111)∴(≮⫘↔1000001011011∲⫓≮⫘↔10100001000))⨿((≉≮⫘↔101110101011)⫒⫫(≮⫘↔100100000011⋝⋈⪟≮⫘↔1000001111000))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30183,"operation_count":13,"complexity_ratio":2321.769230769231,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":8368,"base":2}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3962,"base":2},"right_expr":{"type":"numeric_atoms","value":1170,"base":2}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":5575,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4187,"base":2},"right_expr":{"type":"numeric_atoms","value":1288,"base":2}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2987,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2307,"base":2},"right_expr":{"type":"numeric_atoms","value":4216,"base":2}}}}},"used_operators":["2DQ55sFlQl","bJkvcejdHO","Q3PJZHRvZv","USyYr0JgAa","MXaNJeIAZ3","RqrPlJkxDo","abYXlopdE0","hrf7POJlIJ","k7HXdKtiEU","i8ToyICDmI","6Ko8hGgeMq","e1ybzncUwg","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","fu6greOZ01","tifHPKVTfV","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8368","layer":4},{"info":"compute unary expreesion, input=8368, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-8188","layer":3},{"info":"compute unary expreesion, input=-8188, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3962","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=3962, right_input=1170, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=5575","layer":4},{"info":"compute unary expreesion, input=5575, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-5749","layer":3},{"info":"number node, value=4187","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=4187, right_input=1288, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5749, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-9850","layer":2},{"info":"number node, value=2987","layer":4},{"info":"compute unary expreesion, input=2987, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3518","layer":3},{"info":"number node, value=2307","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=2307, right_input=4216, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2307","layer":3},{"info":"compute binary expreesion, left_input=3518, right_input=2307, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9850, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=67, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⊥(⪹≮⫘↔10000010110000))≎⊠⪸(↡≮⫘↔111101111010↞⋁≮⫘↔10010010010)⨵⪆((⊲⪭≮⫘↔1010111000111)∴(≮⫘↔1000001011011∲⫓≮⫘↔10100001000))⨿((≉≮⫘↔101110101011)⫒⫫(≮⫘↔100100000011⋝⋈⪟≮⫘↔1000001111000))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⊥(⪹≮⫘↔10000010110000))≎⊠⪸(↡≮⫘↔111101111010↞⋁≮⫘↔10010010010)⨵⪆((⊲⪭≮⫘↔1010111000111)∴(≮⫘↔1000001011011∲⫓≮⫘↔10100001000))⨿((≉≮⫘↔101110101011)⫒⫫(≮⫘↔100100000011⋝⋈⪟≮⫘↔1000001111000))","cot":[{"info":"⪹≮⫘↔10000010110000=≮⫘↔-1111111111100","layer":3},{"info":"⊥≮⫘↔-1111111111100=NaN","layer":2},{"info":"≮⫘↔111101111010↞⋁≮⫘↔10010010010=NaN","layer":3},{"info":"↡NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"⊲⪭≮⫘↔1010111000111=≮⫘↔-1011001110101","layer":3},{"info":"≮⫘↔1000001011011∲⫓≮⫘↔10100001000=≮⫘↔0","layer":3},{"info":"≮⫘↔-1011001110101∴≮⫘↔0=≮⫘↔-10011001111010","layer":2},{"info":"≉≮⫘↔101110101011=≮⫘↔110110111110","layer":3},{"info":"≮⫘↔100100000011⋝⋈⪟≮⫘↔1000001111000=≮⫘↔100100000011","layer":3},{"info":"≮⫘↔110110111110⫒⫫≮⫘↔100100000011=NaN","layer":2},{"info":"≮⫘↔-10011001111010⨿NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000011⨵⪆≮⫘↔1000011=≮⫘↔10100000","layer":0}]}
{"id":272,"expression_no_base_symbol":"(↑$7946$⨜⨶$5355$)⩼⇪↪($5009$⪁$1322$)⫗⊷⫓(≸$2270$)⩷∴($1751$⫣⪄⊒$1126$⩘($1083$∲⫓$3370$))⨽∌((↣≠⋷$3982$)∛($6479$⊅))","expression":"(↑≮⫘↔1111100001010⨜⨶≮⫘↔1010011101011)⩼⇪↪(≮⫘↔1001110010001⪁≮⫘↔10100101010)⫗⊷⫓(≸≮⫘↔100011011110)⩷∴(≮⫘↔11011010111⫣⪄⊒≮⫘↔10001100110⩘(≮⫘↔10000111011∲⫓≮⫘↔110100101010))⨽∌((↣≠⋷≮⫘↔111110001110)∛(≮⫘↔1100101001111⊅))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26241324,"operation_count":14,"complexity_ratio":1874380.2857142857,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":7946,"base":2},"right_expr":{"type":"numeric_atoms","value":5355,"base":2}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5009,"base":2},"right_expr":{"type":"numeric_atoms","value":1322,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2270,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1751,"base":2},"right_expr":{"type":"numeric_atoms","value":1126,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1083,"base":2},"right_expr":{"type":"numeric_atoms","value":3370,"base":2}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3982,"base":2}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":6479,"base":2}}}}},"used_operators":["9FxExcQeMw","ocnLzx9CaJ","tR7O2zTn5j","HiPekx5b7W","zashukvMKz","I7sXao9hZE","eOf03JbCpp","9samAPKr6k","cHh1gJQ2o6","RabNbG55vr","i8ToyICDmI","w2537kitQq","Asc51vEJeQ","7p6YLioM7f"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","XhwjNDsVaA","AHs5Up7iyr","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U"],"result":"≮⫘↔10000010110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7946","layer":4},{"info":"number node, value=5355","layer":4},{"info":"compute binary expreesion, left_input=7946, right_input=5355, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-10454","layer":3},{"info":"compute unary expreesion, input=-10454, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=5009","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=5009, right_input=1322, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=2270","layer":4},{"info":"compute unary expreesion, input=2270, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=58, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-134, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=539","layer":1},{"info":"number node, value=1751","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=1126, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-3766","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=3370","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=3370, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3766, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=3982","layer":4},{"info":"compute unary expreesion, input=3982, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6479","layer":4},{"info":"compute unary expreesion, input=6479, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=539, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1046","layer":0}],"base":2,"result_base":2,"text":"(↑≮⫘↔1111100001010⨜⨶≮⫘↔1010011101011)⩼⇪↪(≮⫘↔1001110010001⪁≮⫘↔10100101010)⫗⊷⫓(≸≮⫘↔100011011110)⩷∴(≮⫘↔11011010111⫣⪄⊒≮⫘↔10001100110⩘(≮⫘↔10000111011∲⫓≮⫘↔110100101010))⨽∌((↣≠⋷≮⫘↔111110001110)∛(≮⫘↔1100101001111⊅))=≮⫘↔10000010110","reverse_text":"≮⫘↔10000010110=(↑≮⫘↔1111100001010⨜⨶≮⫘↔1010011101011)⩼⇪↪(≮⫘↔1001110010001⪁≮⫘↔10100101010)⫗⊷⫓(≸≮⫘↔100011011110)⩷∴(≮⫘↔11011010111⫣⪄⊒≮⫘↔10001100110⩘(≮⫘↔10000111011∲⫓≮⫘↔110100101010))⨽∌((↣≠⋷≮⫘↔111110001110)∛(≮⫘↔1100101001111⊅))","cot":[{"info":"≮⫘↔1111100001010⨜⨶≮⫘↔1010011101011=≮⫘↔-10100011010110","layer":3},{"info":"↑≮⫘↔-10100011010110=≮⫘↔11000000","layer":2},{"info":"≮⫘↔1001110010001⪁≮⫘↔10100101010=NaN","layer":3},{"info":"≸≮⫘↔100011011110=≮⫘↔111010","layer":3},{"info":"NaN⫗⊷⫓≮⫘↔111010=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔11000000⩼⇪↪≮⫘↔-10000110=≮⫘↔1000011011","layer":1},{"info":"≮⫘↔11011010111⫣⪄⊒≮⫘↔10001100110=≮⫘↔-111010110110","layer":3},{"info":"≮⫘↔10000111011∲⫓≮⫘↔110100101010=≮⫘↔0","layer":3},{"info":"≮⫘↔-111010110110⩘≮⫘↔0=≮⫘↔10100000","layer":2},{"info":"↣≠⋷≮⫘↔111110001110=NaN","layer":3},{"info":"≮⫘↔1100101001111⊅=≮⫘↔-10101110","layer":3},{"info":"NaN∛≮⫘↔-10101110=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10100000⨽∌≮⫘↔1000011=≮⫘↔0","layer":1},{"info":"≮⫘↔1000011011⩷∴≮⫘↔0=≮⫘↔10000010110","layer":0}]}
{"id":273,"expression_no_base_symbol":"(⫇($1155$⩼⇪↪$6128$⊍⩺⋍(⨩∲⋌$5703$)))⫏⊷","expression":"(⫇(≮⫘↔10010000011⩼⇪↪≮⫘↔1011111110000⊍⩺⋍(⨩∲⋌≮⫘↔1011001000111)))⫏⊷","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":359,"operation_count":5,"complexity_ratio":71.8,"tree":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1155,"base":2},"right_expr":{"type":"numeric_atoms","value":6128,"base":2}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":5703,"base":2}}}}},"used_operators":["dcShxvzhyw","YjI8oCXuph","OXDGMFPWZM","ocnLzx9CaJ","aSik1wnThz"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1155","layer":4},{"info":"number node, value=6128","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=6128, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-41369","layer":3},{"info":"number node, value=5703","layer":4},{"info":"compute unary expreesion, input=5703, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-6226","layer":3},{"info":"compute binary expreesion, left_input=-41369, right_input=-6226, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫇(≮⫘↔10010000011⩼⇪↪≮⫘↔1011111110000⊍⩺⋍(⨩∲⋌≮⫘↔1011001000111)))⫏⊷=NaN","reverse_text":"NaN=(⫇(≮⫘↔10010000011⩼⇪↪≮⫘↔1011111110000⊍⩺⋍(⨩∲⋌≮⫘↔1011001000111)))⫏⊷","cot":[{"info":"≮⫘↔10010000011⩼⇪↪≮⫘↔1011111110000=≮⫘↔-1010000110011001","layer":3},{"info":"⨩∲⋌≮⫘↔1011001000111=≮⫘↔-1100001010010","layer":3},{"info":"≮⫘↔-1010000110011001⊍⩺⋍≮⫘↔-1100001010010=NaN","layer":2},{"info":"⫇NaN=NaN","layer":1},{"info":"NaN⫏⊷=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"($1290$⨥⫆$2145$⨓$2741$⪘⫢$1255$)⋹⋡⊁($2810$⩼⇪↪$6010$⩼⇪↪($1055$⫌⩉⩟$1209$))⋻⩜⩜(⪹$1988$⩼⇪↪$3419$)⊮⊟↴($3796$⫳≱↱$6356$⊾⪯⋞$1724$⪔$1176$)","expression":"(≮⫘↔10100001010⨥⫆≮⫘↔100001100001⨓≮⫘↔101010110101⪘⫢≮⫘↔10011100111)⋹⋡⊁(≮⫘↔101011111010⩼⇪↪≮⫘↔1011101111010⩼⇪↪(≮⫘↔10000011111⫌⩉⩟≮⫘↔10010111001))⋻⩜⩜(⪹≮⫘↔11111000100⩼⇪↪≮⫘↔110101011011)⊮⊟↴(≮⫘↔111011010100⫳≱↱≮⫘↔1100011010100⊾⪯⋞≮⫘↔11010111100⪔≮⫘↔10010011000)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":155832,"operation_count":14,"complexity_ratio":11130.857142857143,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1290,"base":2},"right_expr":{"type":"numeric_atoms","value":2145,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2741,"base":2},"right_expr":{"type":"numeric_atoms","value":1255,"base":2}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2810,"base":2},"right_expr":{"type":"numeric_atoms","value":6010,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1055,"base":2},"right_expr":{"type":"numeric_atoms","value":1209,"base":2}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1988,"base":2},"right_expr":{"type":"numeric_atoms","value":3419,"base":2}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3796,"base":2},"right_expr":{"type":"numeric_atoms","value":6356,"base":2}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1724,"base":2},"right_expr":{"type":"numeric_atoms","value":1176,"base":2}}}}},"used_operators":["oDCm7WA9JY","As8RqfVLgs","3ViojmjbAp","yXekIHxTD4","oacrs7FA3X","ocnLzx9CaJ","XIIwhv8d0m","QDVgd2eftb","USyYr0JgAa","HK0tfVPux8","ZvLB05nZmT","GjBEYRfMaF"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","tifHPKVTfV","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"≮⫘↔101001110000010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2145, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4166","layer":3},{"info":"number node, value=2741","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=1255, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5358","layer":3},{"info":"compute binary expreesion, left_input=4166, right_input=5358, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5361","layer":2},{"info":"number node, value=2810","layer":4},{"info":"number node, value=6010","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=6010, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-37233","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1209, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-37233, right_input=-50, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-74899","layer":2},{"info":"compute binary expreesion, left_input=-5361, right_input=-74899, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=85514","layer":1},{"info":"number node, value=1988","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=3419, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-20740","layer":3},{"info":"compute unary expreesion, input=-20740, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=20920","layer":2},{"info":"number node, value=3796","layer":4},{"info":"number node, value=6356","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=6356, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1724","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=1176, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=450, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"compute binary expreesion, left_input=20920, right_input=-818, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=10141","layer":1},{"info":"compute binary expreesion, left_input=85514, right_input=10141, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=171028","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100001010⨥⫆≮⫘↔100001100001⨓≮⫘↔101010110101⪘⫢≮⫘↔10011100111)⋹⋡⊁(≮⫘↔101011111010⩼⇪↪≮⫘↔1011101111010⩼⇪↪(≮⫘↔10000011111⫌⩉⩟≮⫘↔10010111001))⋻⩜⩜(⪹≮⫘↔11111000100⩼⇪↪≮⫘↔110101011011)⊮⊟↴(≮⫘↔111011010100⫳≱↱≮⫘↔1100011010100⊾⪯⋞≮⫘↔11010111100⪔≮⫘↔10010011000)=≮⫘↔101001110000010100","reverse_text":"≮⫘↔101001110000010100=(≮⫘↔10100001010⨥⫆≮⫘↔100001100001⨓≮⫘↔101010110101⪘⫢≮⫘↔10011100111)⋹⋡⊁(≮⫘↔101011111010⩼⇪↪≮⫘↔1011101111010⩼⇪↪(≮⫘↔10000011111⫌⩉⩟≮⫘↔10010111001))⋻⩜⩜(⪹≮⫘↔11111000100⩼⇪↪≮⫘↔110101011011)⊮⊟↴(≮⫘↔111011010100⫳≱↱≮⫘↔1100011010100⊾⪯⋞≮⫘↔11010111100⪔≮⫘↔10010011000)","cot":[{"info":"≮⫘↔10100001010⨥⫆≮⫘↔100001100001=≮⫘↔1000001000110","layer":3},{"info":"≮⫘↔101010110101⪘⫢≮⫘↔10011100111=≮⫘↔1010011101110","layer":3},{"info":"≮⫘↔1000001000110⨓≮⫘↔1010011101110=≮⫘↔-1010011110001","layer":2},{"info":"≮⫘↔101011111010⩼⇪↪≮⫘↔1011101111010=≮⫘↔-1001000101110001","layer":3},{"info":"≮⫘↔10000011111⫌⩉⩟≮⫘↔10010111001=≮⫘↔-110010","layer":3},{"info":"≮⫘↔-1001000101110001⩼⇪↪≮⫘↔-110010=≮⫘↔-10010010010010011","layer":2},{"info":"≮⫘↔-1010011110001⋹⋡⊁≮⫘↔-10010010010010011=≮⫘↔10100111000001010","layer":1},{"info":"≮⫘↔11111000100⩼⇪↪≮⫘↔110101011011=≮⫘↔-101000100000100","layer":3},{"info":"⪹≮⫘↔-101000100000100=≮⫘↔101000110111000","layer":2},{"info":"≮⫘↔111011010100⫳≱↱≮⫘↔1100011010100=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔11010111100⪔≮⫘↔10010011000=≮⫘↔111000010","layer":3},{"info":"≮⫘↔-11001100⊾⪯⋞≮⫘↔111000010=≮⫘↔-1100110010","layer":2},{"info":"≮⫘↔101000110111000⊮⊟↴≮⫘↔-1100110010=≮⫘↔10011110011101","layer":1},{"info":"≮⫘↔10100111000001010⋻⩜⩜≮⫘↔10011110011101=≮⫘↔101001110000010100","layer":0}]}
{"id":275,"expression_no_base_symbol":"↨((∜⨇(+⊝⨔$1987$))⨶)","expression":"↨((∜⨇(+⊝⨔≮⫘↔11111000011))⨶)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1299,"operation_count":4,"complexity_ratio":324.75,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1987,"base":2}}}}},"used_operators":["jiX4gk2v2Q","rFxw8gIMmB","uFPyJr306J","DhbWaqg5eL"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","f6k1SAg4EE","Qy55tPpLXF","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"↨((∜⨇(+⊝⨔≮⫘↔11111000011))⨶)=≮⫘↔0","reverse_text":"≮⫘↔0=↨((∜⨇(+⊝⨔≮⫘↔11111000011))⨶)","cot":[{"info":"+⊝⨔≮⫘↔11111000011=≮⫘↔10111110010","layer":3},{"info":"∜⨇≮⫘↔10111110010=NaN","layer":2},{"info":"NaN⨶=≮⫘↔-10000110","layer":1},{"info":"↨≮⫘↔-10000110=≮⫘↔0","layer":0}]}
{"id":276,"expression_no_base_symbol":"((($2412$⇐≅)⩷∴$1584$⪒⊣⊆$4479$)⨫⇇↔($4086$⪨⊡$4953$⫸⇳(≸$2068$)))⊴(⪓⩚(($1404$∽$2970$)⋐⇩⊬))","expression":"(((≮⫘↔100101101100⇐≅)⩷∴≮⫘↔11000110000⪒⊣⊆≮⫘↔1000101111111)⨫⇇↔(≮⫘↔111111110110⪨⊡≮⫘↔1001101011001⫸⇳(≸≮⫘↔100000010100)))⊴(⪓⩚((≮⫘↔10101111100∽≮⫘↔101110011010)⋐⇩⊬))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4482,"operation_count":11,"complexity_ratio":407.45454545454544,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":2412,"base":2}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1584,"base":2},"right_expr":{"type":"numeric_atoms","value":4479,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4086,"base":2},"right_expr":{"type":"numeric_atoms","value":4953,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2068,"base":2}}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1404,"base":2},"right_expr":{"type":"numeric_atoms","value":2970,"base":2}}}}},"used_operators":["Nsiff2A1zJ","LXhwmt4mBO","9FxExcQeMw","wEfv7U73WA","eRqsBgTDFp","gx7XJ7hdpj","kuIXHzHcAH","eOf03JbCpp","u0R0Locfp2","JuuLT1NoCs","y4ImoPnbV5"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2412","layer":4},{"info":"compute unary expreesion, input=2412, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=7204","layer":3},{"info":"number node, value=1584","layer":4},{"info":"number node, value=4479","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=4479, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3168","layer":3},{"info":"compute binary expreesion, left_input=7204, right_input=3168, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8040","layer":2},{"info":"number node, value=4086","layer":4},{"info":"number node, value=4953","layer":4},{"info":"compute binary expreesion, left_input=4086, right_input=4953, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2068","layer":4},{"info":"compute unary expreesion, input=2068, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=58, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=8040, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=1404","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=2970, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-15752","layer":3},{"info":"compute unary expreesion, input=-15752, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=-31383","layer":2},{"info":"compute unary expreesion, input=-31383, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=426, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔100101101100⇐≅)⩷∴≮⫘↔11000110000⪒⊣⊆≮⫘↔1000101111111)⨫⇇↔(≮⫘↔111111110110⪨⊡≮⫘↔1001101011001⫸⇳(≸≮⫘↔100000010100)))⊴(⪓⩚((≮⫘↔10101111100∽≮⫘↔101110011010)⋐⇩⊬))=NaN","reverse_text":"NaN=(((≮⫘↔100101101100⇐≅)⩷∴≮⫘↔11000110000⪒⊣⊆≮⫘↔1000101111111)⨫⇇↔(≮⫘↔111111110110⪨⊡≮⫘↔1001101011001⫸⇳(≸≮⫘↔100000010100)))⊴(⪓⩚((≮⫘↔10101111100∽≮⫘↔101110011010)⋐⇩⊬))","cot":[{"info":"≮⫘↔100101101100⇐≅=≮⫘↔1110000100100","layer":3},{"info":"≮⫘↔11000110000⪒⊣⊆≮⫘↔1000101111111=≮⫘↔110001100000","layer":3},{"info":"≮⫘↔1110000100100⩷∴≮⫘↔110001100000=≮⫘↔1111101101000","layer":2},{"info":"≮⫘↔111111110110⪨⊡≮⫘↔1001101011001=≮⫘↔0","layer":3},{"info":"≸≮⫘↔100000010100=≮⫘↔111010","layer":3},{"info":"≮⫘↔0⫸⇳≮⫘↔111010=≮⫘↔0","layer":2},{"info":"≮⫘↔1111101101000⨫⇇↔≮⫘↔0=≮⫘↔-1000001111","layer":1},{"info":"≮⫘↔10101111100∽≮⫘↔101110011010=≮⫘↔-11110110001000","layer":3},{"info":"≮⫘↔-11110110001000⋐⇩⊬=≮⫘↔-111101010010111","layer":2},{"info":"⪓⩚≮⫘↔-111101010010111=≮⫘↔110101010","layer":1},{"info":"≮⫘↔-1000001111⊴≮⫘↔110101010=NaN","layer":0}]}
{"id":277,"expression_no_base_symbol":"⇘(((⨝⨆$6134$)≭(⇖⫷⫕$5114$))⪢($2931$↼⊘⨖$4927$↬($1439$⩚⊴⇥$2689$)))","expression":"⇘(((⨝⨆≮⫘↔1011111110110)≭(⇖⫷⫕≮⫘↔1001111111010))⪢(≮⫘↔101101110011↼⊘⨖≮⫘↔1001100111111↬(≮⫘↔10110011111⩚⊴⇥≮⫘↔101010000001)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":890,"operation_count":8,"complexity_ratio":111.25,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":6134,"base":2}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":5114,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2931,"base":2},"right_expr":{"type":"numeric_atoms","value":4927,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1439,"base":2},"right_expr":{"type":"numeric_atoms","value":2689,"base":2}}}}},"used_operators":["MGuIdZPyUC","dWAJyo7jo9","rxpJgHHUmx","bQ67fsrMVf","UHmRx3INFg","B5M0gjZbta","bPywburJMS","NTOWxs364D"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","k8jYdgA6NY","AHs5Up7iyr","tifHPKVTfV","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rGHVDoGpnC","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6134","layer":4},{"info":"compute unary expreesion, input=6134, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=5925","layer":3},{"info":"number node, value=5114","layer":4},{"info":"compute unary expreesion, input=5114, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=5925, right_input=2822, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2931","layer":4},{"info":"number node, value=4927","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=4927, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9632","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=2689, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4249","layer":3},{"info":"compute binary expreesion, left_input=9632, right_input=-4249, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇘(((⨝⨆≮⫘↔1011111110110)≭(⇖⫷⫕≮⫘↔1001111111010))⪢(≮⫘↔101101110011↼⊘⨖≮⫘↔1001100111111↬(≮⫘↔10110011111⩚⊴⇥≮⫘↔101010000001)))=NaN","reverse_text":"NaN=⇘(((⨝⨆≮⫘↔1011111110110)≭(⇖⫷⫕≮⫘↔1001111111010))⪢(≮⫘↔101101110011↼⊘⨖≮⫘↔1001100111111↬(≮⫘↔10110011111⩚⊴⇥≮⫘↔101010000001)))","cot":[{"info":"⨝⨆≮⫘↔1011111110110=≮⫘↔1011100100101","layer":3},{"info":"⇖⫷⫕≮⫘↔1001111111010=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔1011100100101≭≮⫘↔101100000110=NaN","layer":2},{"info":"≮⫘↔101101110011↼⊘⨖≮⫘↔1001100111111=≮⫘↔10010110100000","layer":3},{"info":"≮⫘↔10110011111⩚⊴⇥≮⫘↔101010000001=≮⫘↔-1000010011001","layer":3},{"info":"≮⫘↔10010110100000↬≮⫘↔-1000010011001=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⇘NaN=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"(⊢≑≆(⫵↿$1420$))≌(≅≯⇸$3795$⊹∫⫚$3867$)⇮⋭($1760$⪔⊥$1072$)⨂≜($1663$≭$2904$)⇤(↣≠⋷$1319$∊∟⩊$2162$)","expression":"(⊢≑≆(⫵↿≮⫘↔10110001100))≌(≅≯⇸≮⫘↔111011010011⊹∫⫚≮⫘↔111100011011)⇮⋭(≮⫘↔11011100000⪔⊥≮⫘↔10000110000)⨂≜(≮⫘↔11001111111≭≮⫘↔101101011000)⇤(↣≠⋷≮⫘↔10100100111∊∟⩊≮⫘↔100001110010)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11238,"operation_count":12,"complexity_ratio":936.5,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1420,"base":2}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3795,"base":2},"right_expr":{"type":"numeric_atoms","value":3867,"base":2}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1760,"base":2},"right_expr":{"type":"numeric_atoms","value":1072,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1663,"base":2},"right_expr":{"type":"numeric_atoms","value":2904,"base":2}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1319,"base":2},"right_expr":{"type":"numeric_atoms","value":2162,"base":2}}}}},"used_operators":["vkpjKywKVM","lyWz822IDG","27wFxooxGf","ivGwdmUAux","apS25hmuAe","uWAJUKEvyW","YSKBFp38Pu","k1SHOSEABc","HJ9erzHUuu","rxpJgHHUmx","Asc51vEJeQ","ddLRYrp01A"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","EBcxylXtPf","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute unary expreesion, input=137, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=-81","layer":2},{"info":"number node, value=3795","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=3795, right_input=3867, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-372","layer":3},{"info":"compute unary expreesion, input=-372, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=6189","layer":2},{"info":"compute binary expreesion, left_input=-81, right_input=6189, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=1760","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=1072, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=4697","layer":3},{"info":"number node, value=1663","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=2904, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4697, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1319","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=2162, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2162","layer":3},{"info":"compute unary expreesion, input=2162, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":2,"result_base":2,"text":"(⊢≑≆(⫵↿≮⫘↔10110001100))≌(≅≯⇸≮⫘↔111011010011⊹∫⫚≮⫘↔111100011011)⇮⋭(≮⫘↔11011100000⪔⊥≮⫘↔10000110000)⨂≜(≮⫘↔11001111111≭≮⫘↔101101011000)⇤(↣≠⋷≮⫘↔10100100111∊∟⩊≮⫘↔100001110010)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(⊢≑≆(⫵↿≮⫘↔10110001100))≌(≅≯⇸≮⫘↔111011010011⊹∫⫚≮⫘↔111100011011)⇮⋭(≮⫘↔11011100000⪔⊥≮⫘↔10000110000)⨂≜(≮⫘↔11001111111≭≮⫘↔101101011000)⇤(↣≠⋷≮⫘↔10100100111∊∟⩊≮⫘↔100001110010)","cot":[{"info":"⫵↿≮⫘↔10110001100=≮⫘↔10001001","layer":3},{"info":"⊢≑≆≮⫘↔10001001=≮⫘↔-1010001","layer":2},{"info":"≮⫘↔111011010011⊹∫⫚≮⫘↔111100011011=≮⫘↔-101110100","layer":3},{"info":"≅≯⇸≮⫘↔-101110100=≮⫘↔1100000101101","layer":2},{"info":"≮⫘↔-1010001≌≮⫘↔1100000101101=NaN","layer":1},{"info":"≮⫘↔11011100000⪔⊥≮⫘↔10000110000=≮⫘↔1001001011001","layer":3},{"info":"≮⫘↔11001111111≭≮⫘↔101101011000=NaN","layer":3},{"info":"≮⫘↔1001001011001⨂≜NaN=NaN","layer":2},{"info":"≮⫘↔10100100111∊∟⩊≮⫘↔100001110010=≮⫘↔100001110010","layer":3},{"info":"↣≠⋷≮⫘↔100001110010=NaN","layer":2},{"info":"NaN⇤NaN=NaN","layer":1},{"info":"NaN⇮⋭NaN=≮⫘↔1000011","layer":0}]}
{"id":279,"expression_no_base_symbol":"($6821$⊝⪿⪼$3760$)⨂≜($2783$⇯⋐)∴($4113$≨$6540$⇴$1897$⋛$1933$)⊨((⨞⊢(⇵⪽$3264$))⨒$2477$⨼⩣$1766$≎⊠⪸($1327$≚⋢))","expression":"(≮⫘↔1101010100101⊝⪿⪼≮⫘↔111010110000)⨂≜(≮⫘↔101011011111⇯⋐)∴(≮⫘↔1000000010001≨≮⫘↔1100110001100⇴≮⫘↔11101101001⋛≮⫘↔11110001101)⊨((⨞⊢(⇵⪽≮⫘↔110011000000))⨒≮⫘↔100110101101⨼⩣≮⫘↔11011100110≎⊠⪸(≮⫘↔10100101111≚⋢))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":91936,"operation_count":14,"complexity_ratio":6566.857142857143,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6821,"base":2},"right_expr":{"type":"numeric_atoms","value":3760,"base":2}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2783,"base":2}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4113,"base":2},"right_expr":{"type":"numeric_atoms","value":6540,"base":2}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1897,"base":2},"right_expr":{"type":"numeric_atoms","value":1933,"base":2}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3264,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2477,"base":2},"right_expr":{"type":"numeric_atoms","value":1766,"base":2}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1327,"base":2}}}}},"used_operators":["vg4gO5BX6G","hrf7POJlIJ","k1SHOSEABc","3Oe9XWJUTD","LkLIoiE525","4JB6nKBMSY","0KMCeP1Jsh","YbUVn0Rbpy","y75s1iXyHd","xUOZtlo3hN","ZGCBLdVRRX","bJkvcejdHO","JxwMv5le6e","MahUMFw56D"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","U7g4x0WXJJ","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6821","layer":4},{"info":"number node, value=3760","layer":4},{"info":"compute binary expreesion, left_input=6821, right_input=3760, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=90997","layer":3},{"info":"number node, value=2783","layer":4},{"info":"compute unary expreesion, input=2783, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=9227","layer":3},{"info":"compute binary expreesion, left_input=90997, right_input=9227, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=4113","layer":4},{"info":"number node, value=6540","layer":4},{"info":"compute binary expreesion, left_input=4113, right_input=6540, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-38654","layer":3},{"info":"number node, value=1897","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=1933, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-115119","layer":3},{"info":"compute binary expreesion, left_input=-38654, right_input=-115119, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-462548","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-462548, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"number node, value=3264","layer":4},{"info":"compute unary expreesion, input=3264, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=2477","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=1766, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101010100101⊝⪿⪼≮⫘↔111010110000)⨂≜(≮⫘↔101011011111⇯⋐)∴(≮⫘↔1000000010001≨≮⫘↔1100110001100⇴≮⫘↔11101101001⋛≮⫘↔11110001101)⊨((⨞⊢(⇵⪽≮⫘↔110011000000))⨒≮⫘↔100110101101⨼⩣≮⫘↔11011100110≎⊠⪸(≮⫘↔10100101111≚⋢))=NaN","reverse_text":"NaN=(≮⫘↔1101010100101⊝⪿⪼≮⫘↔111010110000)⨂≜(≮⫘↔101011011111⇯⋐)∴(≮⫘↔1000000010001≨≮⫘↔1100110001100⇴≮⫘↔11101101001⋛≮⫘↔11110001101)⊨((⨞⊢(⇵⪽≮⫘↔110011000000))⨒≮⫘↔100110101101⨼⩣≮⫘↔11011100110≎⊠⪸(≮⫘↔10100101111≚⋢))","cot":[{"info":"≮⫘↔1101010100101⊝⪿⪼≮⫘↔111010110000=≮⫘↔10110001101110101","layer":3},{"info":"≮⫘↔101011011111⇯⋐=≮⫘↔10010000001011","layer":3},{"info":"≮⫘↔10110001101110101⨂≜≮⫘↔10010000001011=NaN","layer":2},{"info":"≮⫘↔1000000010001≨≮⫘↔1100110001100=≮⫘↔-1001011011111110","layer":3},{"info":"≮⫘↔11101101001⋛≮⫘↔11110001101=≮⫘↔-11100000110101111","layer":3},{"info":"≮⫘↔-1001011011111110⇴≮⫘↔-11100000110101111=≮⫘↔-1110000111011010100","layer":2},{"info":"NaN∴≮⫘↔-1110000111011010100=NaN","layer":1},{"info":"⇵⪽≮⫘↔110011000000=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"≮⫘↔100110101101⨼⩣≮⫘↔11011100110=NaN","layer":3},{"info":"≮⫘↔10100101111≚⋢=≮⫘↔-1011001","layer":3},{"info":"NaN≎⊠⪸≮⫘↔-1011001=NaN","layer":2},{"info":"NaN⨒NaN=NaN","layer":1},{"info":"NaN⊨NaN=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"(∮((↩⪖$2264$)⋖∅⋲))⪁($3381$↬$3190$)⫉⨲⊜($3513$⨔≚≋$1163$)↬(($1392$⇚⪠)∑⇟⊟$1362$⪔⊥$6339$)","expression":"(∮((↩⪖≮⫘↔100011011000)⋖∅⋲))⪁(≮⫘↔110100110101↬≮⫘↔110001110110)⫉⨲⊜(≮⫘↔110110111001⨔≚≋≮⫘↔10010001011)↬((≮⫘↔10101110000⇚⪠)∑⇟⊟≮⫘↔10101010010⪔⊥≮⫘↔1100011000011)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":240217,"operation_count":11,"complexity_ratio":21837.909090909092,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2264,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3381,"base":2},"right_expr":{"type":"numeric_atoms","value":3190,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3513,"base":2},"right_expr":{"type":"numeric_atoms","value":1163,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1392,"base":2}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1362,"base":2},"right_expr":{"type":"numeric_atoms","value":6339,"base":2}}}}},"used_operators":["I7sXao9hZE","CqXKPLVYql","L95AwlJzhO","fG6uBQFnGz","B5M0gjZbta","WhqkvtTD3t","Z57zeUYC9z","U7g4x0WXJJ","Loh9y4A90B","HJ9erzHUuu"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","eewbuw0ToL","zVYPLywUTj","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2264","layer":4},{"info":"compute unary expreesion, input=2264, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-16566","layer":3},{"info":"compute unary expreesion, input=-16566, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238136","layer":1},{"info":"number node, value=3381","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=3381, right_input=3190, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3513","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=1163, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"number node, value=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=3875328","layer":3},{"info":"number node, value=1362","layer":4},{"info":"number node, value=6339","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=6339, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-7429","layer":3},{"info":"compute binary expreesion, left_input=3875328, right_input=-7429, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-238136, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∮((↩⪖≮⫘↔100011011000)⋖∅⋲))⪁(≮⫘↔110100110101↬≮⫘↔110001110110)⫉⨲⊜(≮⫘↔110110111001⨔≚≋≮⫘↔10010001011)↬((≮⫘↔10101110000⇚⪠)∑⇟⊟≮⫘↔10101010010⪔⊥≮⫘↔1100011000011)=NaN","reverse_text":"NaN=(∮((↩⪖≮⫘↔100011011000)⋖∅⋲))⪁(≮⫘↔110100110101↬≮⫘↔110001110110)⫉⨲⊜(≮⫘↔110110111001⨔≚≋≮⫘↔10010001011)↬((≮⫘↔10101110000⇚⪠)∑⇟⊟≮⫘↔10101010010⪔⊥≮⫘↔1100011000011)","cot":[{"info":"↩⪖≮⫘↔100011011000=≮⫘↔-100000010110110","layer":3},{"info":"≮⫘↔-100000010110110⋖∅⋲=≮⫘↔0","layer":2},{"info":"∮≮⫘↔0=≮⫘↔-111010001000111000","layer":1},{"info":"≮⫘↔110100110101↬≮⫘↔110001110110=NaN","layer":3},{"info":"≮⫘↔110110111001⨔≚≋≮⫘↔10010001011=≮⫘↔10011010010000","layer":3},{"info":"NaN⫉⨲⊜≮⫘↔10011010010000=NaN","layer":2},{"info":"≮⫘↔10101110000⇚⪠=≮⫘↔1110110010001000000000","layer":3},{"info":"≮⫘↔10101010010⪔⊥≮⫘↔1100011000011=≮⫘↔-1110100000101","layer":3},{"info":"≮⫘↔1110110010001000000000∑⇟⊟≮⫘↔-1110100000101=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"≮⫘↔-111010001000111000⪁NaN=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"≤/((⩷⨜⫀$1090$)⪐)≧⫂∧((↩⪖$1710$)⊎←↗)","expression":"≤/((⩷⨜⫀≮⫘↔10001000010)⪐)≧⫂∧((↩⪖≮⫘↔11010101110)⊎←↗)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42,"operation_count":6,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1090,"base":2}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1710,"base":2}}}}},"used_operators":["eLAdDNolq6","Ph9nP6C5qx","eH2TOUuTDT","CDi0ktkjQ4","dwb5p0fa6d","fG6uBQFnGz"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","sdazOOVcIp","COABgblf1C","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≮⫘↔-110011001100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-817","layer":3},{"info":"compute unary expreesion, input=-817, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-1634","layer":2},{"info":"number node, value=1710","layer":4},{"info":"compute unary expreesion, input=1710, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-13242","layer":3},{"info":"compute unary expreesion, input=-13242, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=27169","layer":2},{"info":"compute binary expreesion, left_input=-1634, right_input=27169, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=26696","layer":1},{"info":"compute unary expreesion, input=26696, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-26212","layer":0}],"base":2,"result_base":2,"text":"≤/((⩷⨜⫀≮⫘↔10001000010)⪐)≧⫂∧((↩⪖≮⫘↔11010101110)⊎←↗)=≮⫘↔-110011001100100","reverse_text":"≮⫘↔-110011001100100=≤/((⩷⨜⫀≮⫘↔10001000010)⪐)≧⫂∧((↩⪖≮⫘↔11010101110)⊎←↗)","cot":[{"info":"⩷⨜⫀≮⫘↔10001000010=≮⫘↔-1100110001","layer":3},{"info":"≮⫘↔-1100110001⪐=≮⫘↔-11001100010","layer":2},{"info":"↩⪖≮⫘↔11010101110=≮⫘↔-11001110111010","layer":3},{"info":"≮⫘↔-11001110111010⊎←↗=≮⫘↔110101000100001","layer":2},{"info":"≮⫘↔-11001100010≧⫂∧≮⫘↔110101000100001=≮⫘↔110100001001000","layer":1},{"info":"≤/≮⫘↔110100001001000=≮⫘↔-110011001100100","layer":0}]}
{"id":282,"expression_no_base_symbol":"((⇜⊴$1131$)⨻⩈⩔$3156$⩘$1274$)⨔⇊($3299$⋓$8158$)⪃⊛⇣(⫡⇟⇯$1899$)⩷∴(($1674$⊨$1439$)∑⇟⊟($2026$⇴∐$2874$)⪄(($2860$⫚↹⊑$5632$)∸))","expression":"((⇜⊴≮⫘↔10001101011)⨻⩈⩔≮⫘↔110001010100⩘≮⫘↔10011111010)⨔⇊(≮⫘↔110011100011⋓≮⫘↔1111111011110)⪃⊛⇣(⫡⇟⇯≮⫘↔11101101011)⩷∴((≮⫘↔11010001010⊨≮⫘↔10110011111)∑⇟⊟(≮⫘↔11111101010⇴∐≮⫘↔101100111010)⪄((≮⫘↔101100101100⫚↹⊑≮⫘↔1011000000000)∸))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1092,"operation_count":14,"complexity_ratio":78.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1131,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3156,"base":2},"right_expr":{"type":"numeric_atoms","value":1274,"base":2}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3299,"base":2},"right_expr":{"type":"numeric_atoms","value":8158,"base":2}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1899,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1674,"base":2},"right_expr":{"type":"numeric_atoms","value":1439,"base":2}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2026,"base":2},"right_expr":{"type":"numeric_atoms","value":2874,"base":2}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2860,"base":2},"right_expr":{"type":"numeric_atoms","value":5632,"base":2}}}}},"used_operators":["9FxExcQeMw","JclMnS0uGI","nEsXyWgiOK","XwDhCwWbUn","cHh1gJQ2o6","rrgAzCduG9","T2fj7uvVaJ","qWUSsah53b","SUmda5xLS4","U7g4x0WXJJ","vg4gO5BX6G","HnzytWxmAO","o20kRiQErp","dfKe02y8D2"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","P8v4zCKN1o","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","tmPS8pqC7x","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≮⫘↔-1010110010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-253202","layer":3},{"info":"number node, value=3156","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=3156, right_input=1274, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-253202, right_input=160, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=3299","layer":4},{"info":"number node, value=8158","layer":4},{"info":"compute binary expreesion, left_input=3299, right_input=8158, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4666","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4666, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=1234, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1234","layer":1},{"info":"number node, value=1674","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=1439, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=7727","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=2874, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7727, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2860","layer":4},{"info":"number node, value=5632","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=5632, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=3979, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5522","layer":0}],"base":2,"result_base":2,"text":"((⇜⊴≮⫘↔10001101011)⨻⩈⩔≮⫘↔110001010100⩘≮⫘↔10011111010)⨔⇊(≮⫘↔110011100011⋓≮⫘↔1111111011110)⪃⊛⇣(⫡⇟⇯≮⫘↔11101101011)⩷∴((≮⫘↔11010001010⊨≮⫘↔10110011111)∑⇟⊟(≮⫘↔11111101010⇴∐≮⫘↔101100111010)⪄((≮⫘↔101100101100⫚↹⊑≮⫘↔1011000000000)∸))=≮⫘↔-1010110010010","reverse_text":"≮⫘↔-1010110010010=((⇜⊴≮⫘↔10001101011)⨻⩈⩔≮⫘↔110001010100⩘≮⫘↔10011111010)⨔⇊(≮⫘↔110011100011⋓≮⫘↔1111111011110)⪃⊛⇣(⫡⇟⇯≮⫘↔11101101011)⩷∴((≮⫘↔11010001010⊨≮⫘↔10110011111)∑⇟⊟(≮⫘↔11111101010⇴∐≮⫘↔101100111010)⪄((≮⫘↔101100101100⫚↹⊑≮⫘↔1011000000000)∸))","cot":[{"info":"⇜⊴≮⫘↔10001101011=≮⫘↔-111101110100010010","layer":3},{"info":"≮⫘↔110001010100⩘≮⫘↔10011111010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-111101110100010010⨻⩈⩔≮⫘↔10100000=≮⫘↔-10101110","layer":2},{"info":"≮⫘↔110011100011⋓≮⫘↔1111111011110=≮⫘↔0","layer":3},{"info":"⫡⇟⇯≮⫘↔11101101011=≮⫘↔1001000111010","layer":3},{"info":"≮⫘↔0⪃⊛⇣≮⫘↔1001000111010=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔-10101110⨔⇊≮⫘↔10011010010=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔11010001010⊨≮⫘↔10110011111=≮⫘↔1111000101111","layer":3},{"info":"≮⫘↔11111101010⇴∐≮⫘↔101100111010=NaN","layer":3},{"info":"≮⫘↔1111000101111∑⇟⊟NaN=NaN","layer":2},{"info":"≮⫘↔101100101100⫚↹⊑≮⫘↔1011000000000=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-110111111∸=≮⫘↔10110001","layer":2},{"info":"NaN⪄≮⫘↔10110001=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔10011010010⩷∴≮⫘↔111110001011=≮⫘↔-1010110010010","layer":0}]}
{"id":283,"expression_no_base_symbol":"(($3328$⇩)∑⇟⊟($3844$⊋≦⊧$4234$))∓⋝((⊤⊝$5012$)↰)↬(⇋↷(⩏⊷≩$4867$)≴⪞⇿($1187$⪘⨀))","expression":"((≮⫘↔110100000000⇩)∑⇟⊟(≮⫘↔111100000100⊋≦⊧≮⫘↔1000010001010))∓⋝((⊤⊝≮⫘↔1001110010100)↰)↬(⇋↷(⩏⊷≩≮⫘↔1001100000011)≴⪞⇿(≮⫘↔10010100011⪘⨀))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9365,"operation_count":11,"complexity_ratio":851.3636363636364,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":3328,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3844,"base":2},"right_expr":{"type":"numeric_atoms","value":4234,"base":2}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":5012,"base":2}}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4867,"base":2}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1187,"base":2}}}}},"used_operators":["B5M0gjZbta","PoHhknlbAi","U7g4x0WXJJ","vRio1gEz1j","oRDoc9rAEX","bl5wxAcryP","rXAclfmB4M","SWo3A1KBJH","lvlrscuwVU","uOZ1tnYMDE","aA7tF3KVD3"],"dependent_operators":["rGHVDoGpnC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","nCS4ZIUYfx","Z2TMIBDE3Q","sdazOOVcIp","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","23Mk6UjR3U","12rbrZMWeM","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3328","layer":4},{"info":"compute unary expreesion, input=3328, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=3421","layer":3},{"info":"number node, value=3844","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=3844, right_input=4234, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7838","layer":3},{"info":"compute binary expreesion, left_input=3421, right_input=-7838, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5012","layer":4},{"info":"compute unary expreesion, input=5012, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=8726","layer":3},{"info":"compute unary expreesion, input=8726, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=8625","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8625, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=4867","layer":4},{"info":"compute unary expreesion, input=4867, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=9433","layer":3},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2955","layer":3},{"info":"compute binary expreesion, left_input=9433, right_input=-2955, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=167776271","layer":2},{"info":"compute unary expreesion, input=167776271, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=1342210168","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=1342210168, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110100000000⇩)∑⇟⊟(≮⫘↔111100000100⊋≦⊧≮⫘↔1000010001010))∓⋝((⊤⊝≮⫘↔1001110010100)↰)↬(⇋↷(⩏⊷≩≮⫘↔1001100000011)≴⪞⇿(≮⫘↔10010100011⪘⨀))=NaN","reverse_text":"NaN=((≮⫘↔110100000000⇩)∑⇟⊟(≮⫘↔111100000100⊋≦⊧≮⫘↔1000010001010))∓⋝((⊤⊝≮⫘↔1001110010100)↰)↬(⇋↷(⩏⊷≩≮⫘↔1001100000011)≴⪞⇿(≮⫘↔10010100011⪘⨀))","cot":[{"info":"≮⫘↔110100000000⇩=≮⫘↔110101011101","layer":3},{"info":"≮⫘↔111100000100⊋≦⊧≮⫘↔1000010001010=≮⫘↔-1111010011110","layer":3},{"info":"≮⫘↔110101011101∑⇟⊟≮⫘↔-1111010011110=NaN","layer":2},{"info":"⊤⊝≮⫘↔1001110010100=≮⫘↔10001000010110","layer":3},{"info":"≮⫘↔10001000010110↰=≮⫘↔10000110110001","layer":2},{"info":"NaN∓⋝≮⫘↔10000110110001=≮⫘↔1000011","layer":1},{"info":"⩏⊷≩≮⫘↔1001100000011=≮⫘↔10010011011001","layer":3},{"info":"≮⫘↔10010100011⪘⨀=≮⫘↔-101110001011","layer":3},{"info":"≮⫘↔10010011011001≴⪞⇿≮⫘↔-101110001011=≮⫘↔1010000000000001000000001111","layer":2},{"info":"⇋↷≮⫘↔1010000000000001000000001111=≮⫘↔1010000000000001000000001111000","layer":1},{"info":"≮⫘↔1000011↬≮⫘↔1010000000000001000000001111000=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"((∐⩳⋚(⩪∧⨌$7886$))⫌⩉⩟(↩⪖$2690$)≄⊠($2914$∲⫓$2806$))≹⇙⪍(($4938$⪢$1098$)≝⊿($1329$⋥⋵⩄$1476$)≚⊃≕($2818$⊕∕$1878$≬⋮$1409$⪢$7165$))","expression":"((∐⩳⋚(⩪∧⨌≮⫘↔1111011001110))⫌⩉⩟(↩⪖≮⫘↔101010000010)≄⊠(≮⫘↔101101100010∲⫓≮⫘↔101011110110))≹⇙⪍((≮⫘↔1001101001010⪢≮⫘↔10001001010)≝⊿(≮⫘↔10100110001⋥⋵⩄≮⫘↔10111000100)≚⊃≕(≮⫘↔101100000010⊕∕≮⫘↔11101010110≬⋮≮⫘↔10110000001⪢≮⫘↔1101111111101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20530,"operation_count":14,"complexity_ratio":1466.4285714285713,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":7886,"base":2}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2690,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2914,"base":2},"right_expr":{"type":"numeric_atoms","value":2806,"base":2}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4938,"base":2},"right_expr":{"type":"numeric_atoms","value":1098,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1329,"base":2},"right_expr":{"type":"numeric_atoms","value":1476,"base":2}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2818,"base":2},"right_expr":{"type":"numeric_atoms","value":1878,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1409,"base":2},"right_expr":{"type":"numeric_atoms","value":7165,"base":2}}}}},"used_operators":["AHs5Up7iyr","XIIwhv8d0m","SL6IHkK8vl","6iOiAJX1F8","vXNesLlMH1","fG6uBQFnGz","i8ToyICDmI","Bmrmz2XGnR","OKKcZfAt5B","dWAJyo7jo9","7t3wd0Fuz7","kbkesczE7y","9cloC0Ngie"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","12rbrZMWeM","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7886","layer":4},{"info":"compute unary expreesion, input=7886, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=78860","layer":3},{"info":"compute unary expreesion, input=78860, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=11889477","layer":2},{"info":"number node, value=2690","layer":4},{"info":"compute unary expreesion, input=2690, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-19122","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=2806","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=2806, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-19122, right_input=0, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=11889477, right_input=1500, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=4938","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=1098, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=1476, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"number node, value=2818","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=1878, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2818","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=7165","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=7165, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2818, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((∐⩳⋚(⩪∧⨌≮⫘↔1111011001110))⫌⩉⩟(↩⪖≮⫘↔101010000010)≄⊠(≮⫘↔101101100010∲⫓≮⫘↔101011110110))≹⇙⪍((≮⫘↔1001101001010⪢≮⫘↔10001001010)≝⊿(≮⫘↔10100110001⋥⋵⩄≮⫘↔10111000100)≚⊃≕(≮⫘↔101100000010⊕∕≮⫘↔11101010110≬⋮≮⫘↔10110000001⪢≮⫘↔1101111111101))=NaN","reverse_text":"NaN=((∐⩳⋚(⩪∧⨌≮⫘↔1111011001110))⫌⩉⩟(↩⪖≮⫘↔101010000010)≄⊠(≮⫘↔101101100010∲⫓≮⫘↔101011110110))≹⇙⪍((≮⫘↔1001101001010⪢≮⫘↔10001001010)≝⊿(≮⫘↔10100110001⋥⋵⩄≮⫘↔10111000100)≚⊃≕(≮⫘↔101100000010⊕∕≮⫘↔11101010110≬⋮≮⫘↔10110000001⪢≮⫘↔1101111111101))","cot":[{"info":"⩪∧⨌≮⫘↔1111011001110=≮⫘↔10011010000001100","layer":3},{"info":"∐⩳⋚≮⫘↔10011010000001100=≮⫘↔101101010110101101000101","layer":2},{"info":"↩⪖≮⫘↔101010000010=≮⫘↔-100101010110010","layer":3},{"info":"≮⫘↔101101100010∲⫓≮⫘↔101011110110=≮⫘↔0","layer":3},{"info":"≮⫘↔-100101010110010≄⊠≮⫘↔0=≮⫘↔10111011100","layer":2},{"info":"≮⫘↔101101010110101101000101⫌⩉⩟≮⫘↔10111011100=≮⫘↔-110010","layer":1},{"info":"≮⫘↔1001101001010⪢≮⫘↔10001001010=NaN","layer":3},{"info":"≮⫘↔10100110001⋥⋵⩄≮⫘↔10111000100=≮⫘↔1110001","layer":3},{"info":"NaN≝⊿≮⫘↔1110001=NaN","layer":2},{"info":"≮⫘↔101100000010⊕∕≮⫘↔11101010110=≮⫘↔101100000010","layer":3},{"info":"≮⫘↔10110000001⪢≮⫘↔1101111111101=NaN","layer":3},{"info":"≮⫘↔101100000010≬⋮NaN=NaN","layer":2},{"info":"NaN≚⊃≕NaN=NaN","layer":1},{"info":"≮⫘↔-110010≹⇙⪍NaN=NaN","layer":0}]}
{"id":285,"expression_no_base_symbol":"↞≼((↡($1441$⪠⩆⊳))⊹∫⫚($5825$⪮%⊝$3537$)⇻⋧≁($1705$⩁⩘$3000$))","expression":"↞≼((↡(≮⫘↔10110100001⪠⩆⊳))⊹∫⫚(≮⫘↔1011011000001⪮%⊝≮⫘↔110111010001)⇻⋧≁(≮⫘↔11010101001⩁⩘≮⫘↔101110111000))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12074,"operation_count":7,"complexity_ratio":1724.857142857143,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1441,"base":2}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5825,"base":2},"right_expr":{"type":"numeric_atoms","value":3537,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1705,"base":2},"right_expr":{"type":"numeric_atoms","value":3000,"base":2}}}}},"used_operators":["DE7zCoGJt9","uWAJUKEvyW","MXaNJeIAZ3","JLbD19bQDL","jCPkEVoL5K","IWmyXbctLI","gub5Cegaqo"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DpFCA1CohY","IWmyXbctLI"],"result":"≮⫘↔-11111111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=5825","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=5825, right_input=3537, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11966","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=3000, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=12948","layer":3},{"info":"compute binary expreesion, left_input=11966, right_input=12948, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-204","layer":1},{"info":"compute unary expreesion, input=-204, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-2046","layer":0}],"base":2,"result_base":2,"text":"↞≼((↡(≮⫘↔10110100001⪠⩆⊳))⊹∫⫚(≮⫘↔1011011000001⪮%⊝≮⫘↔110111010001)⇻⋧≁(≮⫘↔11010101001⩁⩘≮⫘↔101110111000))=≮⫘↔-11111111110","reverse_text":"≮⫘↔-11111111110=↞≼((↡(≮⫘↔10110100001⪠⩆⊳))⊹∫⫚(≮⫘↔1011011000001⪮%⊝≮⫘↔110111010001)⇻⋧≁(≮⫘↔11010101001⩁⩘≮⫘↔101110111000))","cot":[{"info":"≮⫘↔10110100001⪠⩆⊳=≮⫘↔0","layer":3},{"info":"↡≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1011011000001⪮%⊝≮⫘↔110111010001=≮⫘↔10111010111110","layer":3},{"info":"≮⫘↔11010101001⩁⩘≮⫘↔101110111000=≮⫘↔11001010010100","layer":3},{"info":"≮⫘↔10111010111110⇻⋧≁≮⫘↔11001010010100=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔0⊹∫⫚≮⫘↔-110111111=≮⫘↔-11001100","layer":1},{"info":"↞≼≮⫘↔-11001100=≮⫘↔-11111111110","layer":0}]}
{"id":286,"expression_no_base_symbol":"$2765$⨑⩅≇$7752$⪟⇏($1621$⨔≚≋$1215$)↳≱(⨮↦↱($1289$∌↝$7769$))⩁","expression":"≮⫘↔101011001101⨑⩅≇≮⫘↔1111001001000⪟⇏(≮⫘↔11001010101⨔≚≋≮⫘↔10010111111)↳≱(⨮↦↱(≮⫘↔10100001001∌↝≮⫘↔1111001011001))⩁","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8507,"operation_count":7,"complexity_ratio":1215.2857142857142,"tree":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2765,"base":2},"right_expr":{"type":"numeric_atoms","value":7752,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1621,"base":2},"right_expr":{"type":"numeric_atoms","value":1215,"base":2}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1289,"base":2},"right_expr":{"type":"numeric_atoms","value":7769,"base":2}}}}},"used_operators":["5GqDbVmqXU","JwTKLfZU96","GODebY97qR","h92wMvzauj","Z57zeUYC9z","sYcpBQ0cFf","9Isq31Ruls"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2765","layer":4},{"info":"number node, value=7752","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=7752, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-8295","layer":3},{"info":"number node, value=1621","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=1215, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-8295, right_input=9872, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1289","layer":4},{"info":"number node, value=7769","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=7769, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-703242","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-703242, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔101011001101⨑⩅≇≮⫘↔1111001001000⪟⇏(≮⫘↔11001010101⨔≚≋≮⫘↔10010111111)↳≱(⨮↦↱(≮⫘↔10100001001∌↝≮⫘↔1111001011001))⩁=≮⫘↔0","reverse_text":"≮⫘↔0=≮⫘↔101011001101⨑⩅≇≮⫘↔1111001001000⪟⇏(≮⫘↔11001010101⨔≚≋≮⫘↔10010111111)↳≱(⨮↦↱(≮⫘↔10100001001∌↝≮⫘↔1111001011001))⩁","cot":[{"info":"≮⫘↔101011001101⨑⩅≇≮⫘↔1111001001000=≮⫘↔-10000001100111","layer":3},{"info":"≮⫘↔11001010101⨔≚≋≮⫘↔10010111111=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔-10000001100111⪟⇏≮⫘↔10011010010000=≮⫘↔0","layer":2},{"info":"≮⫘↔10100001001∌↝≮⫘↔1111001011001=≮⫘↔0","layer":3},{"info":"⨮↦↱≮⫘↔0=≮⫘↔-10101011101100001010","layer":2},{"info":"≮⫘↔0↳≱≮⫘↔-10101011101100001010=≮⫘↔0","layer":1},{"info":"≮⫘↔0⩁=≮⫘↔0","layer":0}]}
{"id":287,"expression_no_base_symbol":"(⊆⋠$6759$)⫣⪄⊒($4285$⫯⪬∳$4451$)⪔(($5441$/$6242$)≬⇓$2656$⨑⩅≇$4853$)⩟","expression":"(⊆⋠≮⫘↔1101001100111)⫣⪄⊒(≮⫘↔1000010111101⫯⪬∳≮⫘↔1000101100011)⪔((≮⫘↔1010101000001/≮⫘↔1100001100010)≬⇓≮⫘↔101001100000⨑⩅≇≮⫘↔1001011110101)⩟","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5097,"operation_count":8,"complexity_ratio":637.125,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":6759,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4285,"base":2},"right_expr":{"type":"numeric_atoms","value":4451,"base":2}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5441,"base":2},"right_expr":{"type":"numeric_atoms","value":6242,"base":2}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2656,"base":2},"right_expr":{"type":"numeric_atoms","value":4853,"base":2}}}}},"used_operators":["fOIeswaMU4","GjBEYRfMaF","RabNbG55vr","EBhcHTkKd8","d7ASUq0ydm","jWTQ2TZYIH","XhwjNDsVaA","h92wMvzauj"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"≮⫘↔1111001001110011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6759","layer":4},{"info":"compute unary expreesion, input=6759, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=4285","layer":4},{"info":"number node, value=4451","layer":4},{"info":"compute binary expreesion, left_input=4285, right_input=4451, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=17007","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=17007, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-102554","layer":2},{"info":"number node, value=5441","layer":4},{"info":"number node, value=6242","layer":4},{"info":"compute binary expreesion, left_input=5441, right_input=6242, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2656","layer":4},{"info":"number node, value=4853","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=4853, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-7968","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7968, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-102554, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":1},{"info":"compute unary expreesion, input=-6760, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=62067","layer":0}],"base":2,"result_base":2,"text":"(⊆⋠≮⫘↔1101001100111)⫣⪄⊒(≮⫘↔1000010111101⫯⪬∳≮⫘↔1000101100011)⪔((≮⫘↔1010101000001/≮⫘↔1100001100010)≬⇓≮⫘↔101001100000⨑⩅≇≮⫘↔1001011110101)⩟=≮⫘↔1111001001110011","reverse_text":"≮⫘↔1111001001110011=(⊆⋠≮⫘↔1101001100111)⫣⪄⊒(≮⫘↔1000010111101⫯⪬∳≮⫘↔1000101100011)⪔((≮⫘↔1010101000001/≮⫘↔1100001100010)≬⇓≮⫘↔101001100000⨑⩅≇≮⫘↔1001011110101)⩟","cot":[{"info":"⊆⋠≮⫘↔1101001100111=≮⫘↔0","layer":3},{"info":"≮⫘↔1000010111101⫯⪬∳≮⫘↔1000101100011=≮⫘↔100001001101111","layer":3},{"info":"≮⫘↔0⫣⪄⊒≮⫘↔100001001101111=≮⫘↔-11001000010011010","layer":2},{"info":"≮⫘↔1010101000001/≮⫘↔1100001100010=≮⫘↔0","layer":3},{"info":"≮⫘↔101001100000⨑⩅≇≮⫘↔1001011110101=≮⫘↔-1111100100000","layer":3},{"info":"≮⫘↔0≬⇓≮⫘↔-1111100100000=≮⫘↔0","layer":2},{"info":"≮⫘↔-11001000010011010⪔≮⫘↔0=≮⫘↔-1101001101000","layer":1},{"info":"≮⫘↔-1101001101000⩟=≮⫘↔1111001001110011","layer":0}]}
{"id":288,"expression_no_base_symbol":"⪫⨮⊛((⋗⩴⪓($2103$≧⫂∧$1275$))⫯⪬∳((⊖∈$5881$)≃(⩒∊$4847$)))","expression":"⪫⨮⊛((⋗⩴⪓(≮⫘↔100000110111≧⫂∧≮⫘↔10011111011))⫯⪬∳((⊖∈≮⫘↔1011011111001)≃(⩒∊≮⫘↔1001011101111)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":940,"operation_count":7,"complexity_ratio":134.28571428571428,"tree":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2103,"base":2},"right_expr":{"type":"numeric_atoms","value":1275,"base":2}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5881,"base":2}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4847,"base":2}}}}},"used_operators":["w5FWba1tyO","d7ASUq0ydm","nOKPl9n5zu","Ph9nP6C5qx","YbVcJGFEVW","YFxL8Sc2Zy","qazvmhNBbN"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"≮⫘↔110010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2103","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=1275, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=802","layer":3},{"info":"compute unary expreesion, input=802, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=111","layer":2},{"info":"number node, value=5881","layer":4},{"info":"compute unary expreesion, input=5881, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=112026","layer":3},{"info":"number node, value=4847","layer":4},{"info":"compute unary expreesion, input=4847, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=8937","layer":3},{"info":"compute binary expreesion, left_input=112026, right_input=8937, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-448144","layer":2},{"info":"compute binary expreesion, left_input=111, right_input=-448144, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=400","layer":1},{"info":"compute unary expreesion, input=400, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=400","layer":0}],"base":2,"result_base":2,"text":"⪫⨮⊛((⋗⩴⪓(≮⫘↔100000110111≧⫂∧≮⫘↔10011111011))⫯⪬∳((⊖∈≮⫘↔1011011111001)≃(⩒∊≮⫘↔1001011101111)))=≮⫘↔110010000","reverse_text":"≮⫘↔110010000=⪫⨮⊛((⋗⩴⪓(≮⫘↔100000110111≧⫂∧≮⫘↔10011111011))⫯⪬∳((⊖∈≮⫘↔1011011111001)≃(⩒∊≮⫘↔1001011101111)))","cot":[{"info":"≮⫘↔100000110111≧⫂∧≮⫘↔10011111011=≮⫘↔1100100010","layer":3},{"info":"⋗⩴⪓≮⫘↔1100100010=≮⫘↔1101111","layer":2},{"info":"⊖∈≮⫘↔1011011111001=≮⫘↔11011010110011010","layer":3},{"info":"⩒∊≮⫘↔1001011101111=≮⫘↔10001011101001","layer":3},{"info":"≮⫘↔11011010110011010≃≮⫘↔10001011101001=≮⫘↔-1101101011010010000","layer":2},{"info":"≮⫘↔1101111⫯⪬∳≮⫘↔-1101101011010010000=≮⫘↔110010000","layer":1},{"info":"⪫⨮⊛≮⫘↔110010000=≮⫘↔110010000","layer":0}]}
{"id":289,"expression_no_base_symbol":"($4997$⨑≵⋬$1337$⫳≱↱($3273$⨸⪁$2773$)≬⋮((⨭⩧⫛$1055$)⊀⩕))⪕(($2704$⨔≚≋$7999$≀⩗∶$1599$≨$1075$)⪡((↴⪽⋼$1014$)⨳⩥⨓($1011$⨳⩥⨓$1048$)))","expression":"(≮⫘↔1001110000101⨑≵⋬≮⫘↔10100111001⫳≱↱(≮⫘↔110011001001⨸⪁≮⫘↔101011010101)≬⋮((⨭⩧⫛≮⫘↔10000011111)⊀⩕))⪕((≮⫘↔101010010000⨔≚≋≮⫘↔1111100111111≀⩗∶≮⫘↔11000111111≨≮⫘↔10000110011)⪡((↴⪽⋼≮⫘↔1111110110)⨳⩥⨓(≮⫘↔1111110011⨳⩥⨓≮⫘↔10000011000)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1268,"operation_count":14,"complexity_ratio":90.57142857142857,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4997,"base":2},"right_expr":{"type":"numeric_atoms","value":1337,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3273,"base":2},"right_expr":{"type":"numeric_atoms","value":2773,"base":2}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1055,"base":2}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2704,"base":2},"right_expr":{"type":"numeric_atoms","value":7999,"base":2}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1599,"base":2},"right_expr":{"type":"numeric_atoms","value":1075,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1014,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1011,"base":2},"right_expr":{"type":"numeric_atoms","value":1048,"base":2}}}}},"used_operators":["umQnsF7QlU","kbkesczE7y","ZvLB05nZmT","XnXgA4xnOs","g55IO6H4Gj","r0FS3hW4cC","g21JL6JxX7","oraRL2iQuh","8INZBEW696","Z57zeUYC9z","0KMCeP1Jsh","nCS4ZIUYfx","5TUYCnJO6w"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","rGHVDoGpnC","nhYeJWJD5X","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"≮⫘↔1110100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4997","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=1337, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=17005","layer":3},{"info":"number node, value=3273","layer":4},{"info":"number node, value=2773","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=2773, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12092","layer":3},{"info":"compute binary expreesion, left_input=17005, right_input=12092, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=2704","layer":4},{"info":"number node, value=7999","layer":4},{"info":"compute binary expreesion, left_input=2704, right_input=7999, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1599","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=1075, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-13514","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-13514, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=6","layer":2},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1014","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1048, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=37","layer":3},{"info":"compute binary expreesion, left_input=1014, right_input=37, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-977","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=-977, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1912","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1912, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001110000101⨑≵⋬≮⫘↔10100111001⫳≱↱(≮⫘↔110011001001⨸⪁≮⫘↔101011010101)≬⋮((⨭⩧⫛≮⫘↔10000011111)⊀⩕))⪕((≮⫘↔101010010000⨔≚≋≮⫘↔1111100111111≀⩗∶≮⫘↔11000111111≨≮⫘↔10000110011)⪡((↴⪽⋼≮⫘↔1111110110)⨳⩥⨓(≮⫘↔1111110011⨳⩥⨓≮⫘↔10000011000)))=≮⫘↔1110100111","reverse_text":"≮⫘↔1110100111=(≮⫘↔1001110000101⨑≵⋬≮⫘↔10100111001⫳≱↱(≮⫘↔110011001001⨸⪁≮⫘↔101011010101)≬⋮((⨭⩧⫛≮⫘↔10000011111)⊀⩕))⪕((≮⫘↔101010010000⨔≚≋≮⫘↔1111100111111≀⩗∶≮⫘↔11000111111≨≮⫘↔10000110011)⪡((↴⪽⋼≮⫘↔1111110110)⨳⩥⨓(≮⫘↔1111110011⨳⩥⨓≮⫘↔10000011000)))","cot":[{"info":"≮⫘↔1001110000101⨑≵⋬≮⫘↔10100111001=≮⫘↔100001001101101","layer":3},{"info":"≮⫘↔110011001001⨸⪁≮⫘↔101011010101=≮⫘↔10111100111100","layer":3},{"info":"≮⫘↔100001001101101⫳≱↱≮⫘↔10111100111100=≮⫘↔-11001100","layer":2},{"info":"⨭⩧⫛≮⫘↔10000011111=NaN","layer":3},{"info":"NaN⊀⩕=NaN","layer":2},{"info":"≮⫘↔-11001100≬⋮NaN=NaN","layer":1},{"info":"≮⫘↔101010010000⨔≚≋≮⫘↔1111100111111=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔11000111111≨≮⫘↔10000110011=≮⫘↔-11010011001010","layer":3},{"info":"≮⫘↔10011010010000≀⩗∶≮⫘↔-11010011001010=≮⫘↔110","layer":2},{"info":"↴⪽⋼≮⫘↔1111110110=≮⫘↔1111110110","layer":3},{"info":"≮⫘↔1111110011⨳⩥⨓≮⫘↔10000011000=≮⫘↔100101","layer":3},{"info":"≮⫘↔1111110110⨳⩥⨓≮⫘↔100101=≮⫘↔-1111010001","layer":2},{"info":"≮⫘↔110⪡≮⫘↔-1111010001=≮⫘↔-11101111000","layer":1},{"info":"NaN⪕≮⫘↔-11101111000=≮⫘↔1110100111","layer":0}]}
{"id":290,"expression_no_base_symbol":"((⩪∧⨌($5692$⋫))≨(($1096$⪘⫢$7960$)∼($3382$∕⩚$4783$)))⨑⩅≇((($1433$⫦⪉$4663$)⨭⪣(-$1652$))⇍⊗($7338$⪄$6198$⩹$1416$∖$1018$))","expression":"((⩪∧⨌(≮⫘↔1011000111100⋫))≨((≮⫘↔10001001000⪘⫢≮⫘↔1111100011000)∼(≮⫘↔110100110110∕⩚≮⫘↔1001010101111)))⨑⩅≇(((≮⫘↔10110011001⫦⪉≮⫘↔1001000110111)⨭⪣(-≮⫘↔11001110100))⇍⊗(≮⫘↔1110010101010⪄≮⫘↔1100000110110⩹≮⫘↔10110001000∖≮⫘↔1111111010))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10210,"operation_count":14,"complexity_ratio":729.2857142857143,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5692,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1096,"base":2},"right_expr":{"type":"numeric_atoms","value":7960,"base":2}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3382,"base":2},"right_expr":{"type":"numeric_atoms","value":4783,"base":2}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1433,"base":2},"right_expr":{"type":"numeric_atoms","value":4663,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1652,"base":2}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7338,"base":2},"right_expr":{"type":"numeric_atoms","value":6198,"base":2}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1416,"base":2},"right_expr":{"type":"numeric_atoms","value":1018,"base":2}}}}},"used_operators":["h92wMvzauj","0KMCeP1Jsh","6iOiAJX1F8","JL8yIekQnl","DyGG3AbaNP","oacrs7FA3X","z9ffQ9n5Zr","5uvYHDjeKN","kn8WO9XteQ","wscyQdcy20","t8gj7n24qd","2Wsdkap16l","SUmda5xLS4","tXD093vOjl"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"≮⫘↔-110111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5692","layer":4},{"info":"compute unary expreesion, input=5692, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5692","layer":3},{"info":"compute unary expreesion, input=5692, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=56920","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=7960","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=7960, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2068","layer":3},{"info":"number node, value=3382","layer":4},{"info":"number node, value=4783","layer":4},{"info":"compute binary expreesion, left_input=3382, right_input=4783, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3385","layer":3},{"info":"compute binary expreesion, left_input=2068, right_input=-3385, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=56920, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-566724","layer":1},{"info":"number node, value=1433","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=4663, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2034","layer":3},{"info":"number node, value=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1652","layer":3},{"info":"compute binary expreesion, left_input=2034, right_input=-1652, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=755","layer":2},{"info":"number node, value=7338","layer":4},{"info":"number node, value=6198","layer":4},{"info":"compute binary expreesion, left_input=7338, right_input=6198, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1106905","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1018, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1106905, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=755, right_input=-2, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=-566724, right_input=-244, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":0}],"base":2,"result_base":2,"text":"((⩪∧⨌(≮⫘↔1011000111100⋫))≨((≮⫘↔10001001000⪘⫢≮⫘↔1111100011000)∼(≮⫘↔110100110110∕⩚≮⫘↔1001010101111)))⨑⩅≇(((≮⫘↔10110011001⫦⪉≮⫘↔1001000110111)⨭⪣(-≮⫘↔11001110100))⇍⊗(≮⫘↔1110010101010⪄≮⫘↔1100000110110⩹≮⫘↔10110001000∖≮⫘↔1111111010))=≮⫘↔-110111","reverse_text":"≮⫘↔-110111=((⩪∧⨌(≮⫘↔1011000111100⋫))≨((≮⫘↔10001001000⪘⫢≮⫘↔1111100011000)∼(≮⫘↔110100110110∕⩚≮⫘↔1001010101111)))⨑⩅≇(((≮⫘↔10110011001⫦⪉≮⫘↔1001000110111)⨭⪣(-≮⫘↔11001110100))⇍⊗(≮⫘↔1110010101010⪄≮⫘↔1100000110110⩹≮⫘↔10110001000∖≮⫘↔1111111010))","cot":[{"info":"≮⫘↔1011000111100⋫=≮⫘↔1011000111100","layer":3},{"info":"⩪∧⨌≮⫘↔1011000111100=≮⫘↔1101111001011000","layer":2},{"info":"≮⫘↔10001001000⪘⫢≮⫘↔1111100011000=≮⫘↔100000010100","layer":3},{"info":"≮⫘↔110100110110∕⩚≮⫘↔1001010101111=≮⫘↔-110100111001","layer":3},{"info":"≮⫘↔100000010100∼≮⫘↔-110100111001=NaN","layer":2},{"info":"≮⫘↔1101111001011000≨NaN=≮⫘↔-10001010010111000100","layer":1},{"info":"≮⫘↔10110011001⫦⪉≮⫘↔1001000110111=≮⫘↔11111110010","layer":3},{"info":"-≮⫘↔11001110100=≮⫘↔-11001110100","layer":3},{"info":"≮⫘↔11111110010⨭⪣≮⫘↔-11001110100=≮⫘↔1011110011","layer":2},{"info":"≮⫘↔1110010101010⪄≮⫘↔1100000110110=≮⫘↔-100001110001111011001","layer":3},{"info":"≮⫘↔10110001000∖≮⫘↔1111111010=≮⫘↔0","layer":3},{"info":"≮⫘↔-100001110001111011001⩹≮⫘↔0=≮⫘↔-10","layer":2},{"info":"≮⫘↔1011110011⇍⊗≮⫘↔-10=≮⫘↔-11110100","layer":1},{"info":"≮⫘↔-10001010010111000100⨑⩅≇≮⫘↔-11110100=≮⫘↔-110111","layer":0}]}
{"id":291,"expression_no_base_symbol":"(($1001$↼⊘⨖$2184$)⊬⨰($1799$⇄$2299$)⊝)⩇∃⫛($3713$⪬$4253$≒∊$4623$⊋$3801$)⋛($4552$⨥⫆$4532$∀⊥⇻)","expression":"((≮⫘↔1111101001↼⊘⨖≮⫘↔100010001000)⊬⨰(≮⫘↔11100000111⇄≮⫘↔100011111011)⊝)⩇∃⫛(≮⫘↔111010000001⪬≮⫘↔1000010011101≒∊≮⫘↔1001000001111⊋≮⫘↔111011011001)⋛(≮⫘↔1000111001000⨥⫆≮⫘↔1000110110100∀⊥⇻)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2673,"operation_count":11,"complexity_ratio":243.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1001,"base":2},"right_expr":{"type":"numeric_atoms","value":2184,"base":2}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1799,"base":2},"right_expr":{"type":"numeric_atoms","value":2299,"base":2}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3713,"base":2},"right_expr":{"type":"numeric_atoms","value":4253,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4623,"base":2},"right_expr":{"type":"numeric_atoms","value":3801,"base":2}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4552,"base":2},"right_expr":{"type":"numeric_atoms","value":4532,"base":2}}}}},"used_operators":["1aApVXNlOP","O6EZ0fifGK","s3Fd5m9Dh2","bPywburJMS","3EYGwJThht","YbUVn0Rbpy","5KTvxBwnZo","Ez1Nq5fNfI","W4tP9CfskL","k4iM1060OG","yXekIHxTD4"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≮⫘↔-100000000010111001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2184, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4146","layer":3},{"info":"number node, value=1799","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=2299, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4146, right_input=0, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=3090","layer":2},{"info":"compute unary expreesion, input=3090, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=3090","layer":1},{"info":"number node, value=3713","layer":4},{"info":"number node, value=4253","layer":4},{"info":"compute binary expreesion, left_input=3713, right_input=4253, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=4623","layer":4},{"info":"number node, value=3801","layer":4},{"info":"compute binary expreesion, left_input=4623, right_input=3801, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=25626804","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=25626804, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-750","layer":2},{"info":"number node, value=4552","layer":4},{"info":"number node, value=4532","layer":4},{"info":"compute binary expreesion, left_input=4552, right_input=4532, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=8940","layer":3},{"info":"compute unary expreesion, input=8940, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-750, right_input=0, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-128640","layer":1},{"info":"compute binary expreesion, left_input=3090, right_input=-128640, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-131257","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111101001↼⊘⨖≮⫘↔100010001000)⊬⨰(≮⫘↔11100000111⇄≮⫘↔100011111011)⊝)⩇∃⫛(≮⫘↔111010000001⪬≮⫘↔1000010011101≒∊≮⫘↔1001000001111⊋≮⫘↔111011011001)⋛(≮⫘↔1000111001000⨥⫆≮⫘↔1000110110100∀⊥⇻)=≮⫘↔-100000000010111001","reverse_text":"≮⫘↔-100000000010111001=((≮⫘↔1111101001↼⊘⨖≮⫘↔100010001000)⊬⨰(≮⫘↔11100000111⇄≮⫘↔100011111011)⊝)⩇∃⫛(≮⫘↔111010000001⪬≮⫘↔1000010011101≒∊≮⫘↔1001000001111⊋≮⫘↔111011011001)⋛(≮⫘↔1000111001000⨥⫆≮⫘↔1000110110100∀⊥⇻)","cot":[{"info":"≮⫘↔1111101001↼⊘⨖≮⫘↔100010001000=≮⫘↔1000000110010","layer":3},{"info":"≮⫘↔11100000111⇄≮⫘↔100011111011=≮⫘↔0","layer":3},{"info":"≮⫘↔1000000110010⊬⨰≮⫘↔0=≮⫘↔110000010010","layer":2},{"info":"≮⫘↔110000010010⊝=≮⫘↔110000010010","layer":1},{"info":"≮⫘↔111010000001⪬≮⫘↔1000010011101=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1001000001111⊋≮⫘↔111011011001=≮⫘↔1100001110000100010110100","layer":3},{"info":"≮⫘↔10011010010≒∊≮⫘↔1100001110000100010110100=≮⫘↔-1011101110","layer":2},{"info":"≮⫘↔1000111001000⨥⫆≮⫘↔1000110110100=≮⫘↔10001011101100","layer":3},{"info":"≮⫘↔10001011101100∀⊥⇻=≮⫘↔0","layer":2},{"info":"≮⫘↔-1011101110⋛≮⫘↔0=≮⫘↔-11111011010000000","layer":1},{"info":"≮⫘↔110000010010⩇∃⫛≮⫘↔-11111011010000000=≮⫘↔-100000000010111001","layer":0}]}
{"id":292,"expression_no_base_symbol":"⋂(($5279$⪛⫼$1452$∙⊟$1049$≃$1413$)⩇∃⫛(($1717$⇐≅)⋥≓≎$7180$↢$2642$))","expression":"⋂((≮⫘↔1010010011111⪛⫼≮⫘↔10110101100∙⊟≮⫘↔10000011001≃≮⫘↔10110000101)⩇∃⫛((≮⫘↔11010110101⇐≅)⋥≓≎≮⫘↔1110000001100↢≮⫘↔101001010010))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1296,"operation_count":8,"complexity_ratio":162.0,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5279,"base":2},"right_expr":{"type":"numeric_atoms","value":1452,"base":2}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1049,"base":2},"right_expr":{"type":"numeric_atoms","value":1413,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1717,"base":2}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":7180,"base":2},"right_expr":{"type":"numeric_atoms","value":2642,"base":2}}}}},"used_operators":["BUOGQAYlQx","1aApVXNlOP","SxTAKzQCrw","hyuBjUqXlG","YbVcJGFEVW","Qy55tPpLXF","wEfv7U73WA","WR6HLWljOP"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≮⫘↔101110110011011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5279","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=5279, right_input=1452, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1413, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4236","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-4236, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22430","layer":2},{"info":"number node, value=1717","layer":4},{"info":"compute unary expreesion, input=1717, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=5119","layer":3},{"info":"number node, value=7180","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=7180, right_input=2642, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6696","layer":3},{"info":"compute binary expreesion, left_input=5119, right_input=6696, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8306","layer":2},{"info":"compute binary expreesion, left_input=22430, right_input=8306, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-13651","layer":1},{"info":"compute unary expreesion, input=-13651, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=191710","layer":0}],"base":2,"result_base":2,"text":"⋂((≮⫘↔1010010011111⪛⫼≮⫘↔10110101100∙⊟≮⫘↔10000011001≃≮⫘↔10110000101)⩇∃⫛((≮⫘↔11010110101⇐≅)⋥≓≎≮⫘↔1110000001100↢≮⫘↔101001010010))=≮⫘↔101110110011011110","reverse_text":"≮⫘↔101110110011011110=⋂((≮⫘↔1010010011111⪛⫼≮⫘↔10110101100∙⊟≮⫘↔10000011001≃≮⫘↔10110000101)⩇∃⫛((≮⫘↔11010110101⇐≅)⋥≓≎≮⫘↔1110000001100↢≮⫘↔101001010010))","cot":[{"info":"≮⫘↔1010010011111⪛⫼≮⫘↔10110101100=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔10000011001≃≮⫘↔10110000101=≮⫘↔-1000010001100","layer":3},{"info":"≮⫘↔1111001000∙⊟≮⫘↔-1000010001100=≮⫘↔101011110011110","layer":2},{"info":"≮⫘↔11010110101⇐≅=≮⫘↔1001111111111","layer":3},{"info":"≮⫘↔1110000001100↢≮⫘↔101001010010=≮⫘↔1101000101000","layer":3},{"info":"≮⫘↔1001111111111⋥≓≎≮⫘↔1101000101000=≮⫘↔10000001110010","layer":2},{"info":"≮⫘↔101011110011110⩇∃⫛≮⫘↔10000001110010=≮⫘↔-11010101010011","layer":1},{"info":"⋂≮⫘↔-11010101010011=≮⫘↔101110110011011110","layer":0}]}
{"id":293,"expression_no_base_symbol":"($3240$⊕∕$1225$∼$1661$⫯⪬∳$5507$)⊉↱≁(($3076$⪇≇⋚$3944$)⋾⨃∁($1929$⋭≵$5766$))⫔⩽⩺(⨡↴(⫵↿(⋼∭⪍$5222$)))","expression":"(≮⫘↔110010101000⊕∕≮⫘↔10011001001∼≮⫘↔11001111101⫯⪬∳≮⫘↔1010110000011)⊉↱≁((≮⫘↔110000000100⪇≇⋚≮⫘↔111101101000)⋾⨃∁(≮⫘↔11110001001⋭≵≮⫘↔1011010000110))⫔⩽⩺(⨡↴(⫵↿(⋼∭⪍≮⫘↔1010001100110)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":336,"operation_count":11,"complexity_ratio":30.545454545454547,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3240,"base":2},"right_expr":{"type":"numeric_atoms","value":1225,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1661,"base":2},"right_expr":{"type":"numeric_atoms","value":5507,"base":2}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3076,"base":2},"right_expr":{"type":"numeric_atoms","value":3944,"base":2}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1929,"base":2},"right_expr":{"type":"numeric_atoms","value":5766,"base":2}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5222,"base":2}}}}},"used_operators":["i9eR4S00cU","w2P8NbNXyL","DyGG3AbaNP","9cloC0Ngie","d7ASUq0ydm","212REbPD9h","3sJ7IOPOlU","jBncVCNhdl","liw5iZPkLH","ivGwdmUAux","DbCuESL50I"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","P8v4zCKN1o","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3240","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=1225, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3240","layer":3},{"info":"number node, value=1661","layer":4},{"info":"number node, value=5507","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=5507, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2831","layer":3},{"info":"compute binary expreesion, left_input=3240, right_input=2831, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=3076","layer":4},{"info":"number node, value=3944","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=3944, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=5766","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=5766, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=43992","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=43992, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"number node, value=5222","layer":4},{"info":"compute unary expreesion, input=5222, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-19148","layer":3},{"info":"compute unary expreesion, input=-19148, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute unary expreesion, input=137, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1186","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1186, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110010101000⊕∕≮⫘↔10011001001∼≮⫘↔11001111101⫯⪬∳≮⫘↔1010110000011)⊉↱≁((≮⫘↔110000000100⪇≇⋚≮⫘↔111101101000)⋾⨃∁(≮⫘↔11110001001⋭≵≮⫘↔1011010000110))⫔⩽⩺(⨡↴(⫵↿(⋼∭⪍≮⫘↔1010001100110)))=NaN","reverse_text":"NaN=(≮⫘↔110010101000⊕∕≮⫘↔10011001001∼≮⫘↔11001111101⫯⪬∳≮⫘↔1010110000011)⊉↱≁((≮⫘↔110000000100⪇≇⋚≮⫘↔111101101000)⋾⨃∁(≮⫘↔11110001001⋭≵≮⫘↔1011010000110))⫔⩽⩺(⨡↴(⫵↿(⋼∭⪍≮⫘↔1010001100110)))","cot":[{"info":"≮⫘↔110010101000⊕∕≮⫘↔10011001001=≮⫘↔110010101000","layer":3},{"info":"≮⫘↔11001111101⫯⪬∳≮⫘↔1010110000011=≮⫘↔101100001111","layer":3},{"info":"≮⫘↔110010101000∼≮⫘↔101100001111=NaN","layer":2},{"info":"≮⫘↔110000000100⪇≇⋚≮⫘↔111101101000=≮⫘↔0","layer":3},{"info":"≮⫘↔11110001001⋭≵≮⫘↔1011010000110=≮⫘↔1000011","layer":3},{"info":"≮⫘↔0⋾⨃∁≮⫘↔1000011=≮⫘↔1010101111011000","layer":2},{"info":"NaN⊉↱≁≮⫘↔1010101111011000=NaN","layer":1},{"info":"⋼∭⪍≮⫘↔1010001100110=≮⫘↔-100101011001100","layer":3},{"info":"⫵↿≮⫘↔-100101011001100=≮⫘↔10001001","layer":2},{"info":"⨡↴≮⫘↔10001001=≮⫘↔10010100010","layer":1},{"info":"NaN⫔⩽⩺≮⫘↔10010100010=NaN","layer":0}]}
{"id":294,"expression_no_base_symbol":"⫟(⨑⩽⪐$7672$⇂≾⫗$4013$≨($6611$∌↝$4602$))","expression":"⫟(⨑⩽⪐≮⫘↔1110111111000⇂≾⫗≮⫘↔111110101101≨(≮⫘↔1100111010011∌↝≮⫘↔1000111111010))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4868,"operation_count":5,"complexity_ratio":973.6,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":7672,"base":2},"right_expr":{"type":"numeric_atoms","value":4013,"base":2}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":6611,"base":2},"right_expr":{"type":"numeric_atoms","value":4602,"base":2}}}}},"used_operators":["z4E1FaHLuy","AF7qkfDlqP","0KMCeP1Jsh","aBQ6xLxuTc","9Isq31Ruls"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔10111011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7672","layer":4},{"info":"number node, value=4013","layer":4},{"info":"compute binary expreesion, left_input=7672, right_input=4013, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=6611","layer":4},{"info":"number node, value=4602","layer":4},{"info":"compute binary expreesion, left_input=6611, right_input=4602, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2008","layer":2},{"info":"compute unary expreesion, input=2008, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1735","layer":1},{"info":"compute unary expreesion, input=-1735, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=1497","layer":0}],"base":2,"result_base":2,"text":"⫟(⨑⩽⪐≮⫘↔1110111111000⇂≾⫗≮⫘↔111110101101≨(≮⫘↔1100111010011∌↝≮⫘↔1000111111010))=≮⫘↔10111011001","reverse_text":"≮⫘↔10111011001=⫟(⨑⩽⪐≮⫘↔1110111111000⇂≾⫗≮⫘↔111110101101≨(≮⫘↔1100111010011∌↝≮⫘↔1000111111010))","cot":[{"info":"≮⫘↔1110111111000⇂≾⫗≮⫘↔111110101101=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔1100111010011∌↝≮⫘↔1000111111010=≮⫘↔0","layer":3},{"info":"≮⫘↔-1010100100≨≮⫘↔0=≮⫘↔11111011000","layer":2},{"info":"⨑⩽⪐≮⫘↔11111011000=≮⫘↔-11011000111","layer":1},{"info":"⫟≮⫘↔-11011000111=≮⫘↔10111011001","layer":0}]}
{"id":295,"expression_no_base_symbol":"(∤$4433$)⋕⪉⪜(+⊝⨔$1450$)⫣⪄⊒((⊬↢$7070$)⋥⋵⩄($2484$⋾⨃∁$1852$))∕⩚$1302$⪬$1594$⇣⩺⋵($1755$⊠≄⫣)⪨⊡($1131$⫒⫫$2200$⊍⩺⋍$2626$⇄$3801$)","expression":"(∤≮⫘↔1000101010001)⋕⪉⪜(+⊝⨔≮⫘↔10110101010)⫣⪄⊒((⊬↢≮⫘↔1101110011110)⋥⋵⩄(≮⫘↔100110110100⋾⨃∁≮⫘↔11100111100))∕⩚≮⫘↔10100010110⪬≮⫘↔11000111010⇣⩺⋵(≮⫘↔11011011011⊠≄⫣)⪨⊡(≮⫘↔10001101011⫒⫫≮⫘↔100010011000⊍⩺⋍≮⫘↔101001000010⇄≮⫘↔111011011001)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10031,"operation_count":15,"complexity_ratio":668.7333333333333,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":4433,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1450,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":7070,"base":2}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2484,"base":2},"right_expr":{"type":"numeric_atoms","value":1852,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1302,"base":2},"right_expr":{"type":"numeric_atoms","value":1594,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1755,"base":2}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1131,"base":2},"right_expr":{"type":"numeric_atoms","value":2200,"base":2}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2626,"base":2},"right_expr":{"type":"numeric_atoms","value":3801,"base":2}}}}},"used_operators":["z9ffQ9n5Zr","RabNbG55vr","z6LnFrNh4i","k2HlF1dBQh","DhbWaqg5eL","7t3wd0Fuz7","WPoGxAaPR1","212REbPD9h","kuIXHzHcAH","F4yD0voBRQ","Ez1Nq5fNfI","DIvbN7qnHd","OXDGMFPWZM","6Ko8hGgeMq","3EYGwJThht"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"≮⫘↔-111100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4433","layer":4},{"info":"compute unary expreesion, input=4433, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1450","layer":4},{"info":"compute unary expreesion, input=1450, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=1522, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=7070","layer":4},{"info":"compute unary expreesion, input=7070, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=2484","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=1852, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=34276722","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=34276722, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=113, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=1302","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=1594, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1755","layer":4},{"info":"compute unary expreesion, input=1755, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1131","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=2200, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2626","layer":4},{"info":"number node, value=3801","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=3801, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":2,"result_base":2,"text":"(∤≮⫘↔1000101010001)⋕⪉⪜(+⊝⨔≮⫘↔10110101010)⫣⪄⊒((⊬↢≮⫘↔1101110011110)⋥⋵⩄(≮⫘↔100110110100⋾⨃∁≮⫘↔11100111100))∕⩚≮⫘↔10100010110⪬≮⫘↔11000111010⇣⩺⋵(≮⫘↔11011011011⊠≄⫣)⪨⊡(≮⫘↔10001101011⫒⫫≮⫘↔100010011000⊍⩺⋍≮⫘↔101001000010⇄≮⫘↔111011011001)=≮⫘↔-111100111","reverse_text":"≮⫘↔-111100111=(∤≮⫘↔1000101010001)⋕⪉⪜(+⊝⨔≮⫘↔10110101010)⫣⪄⊒((⊬↢≮⫘↔1101110011110)⋥⋵⩄(≮⫘↔100110110100⋾⨃∁≮⫘↔11100111100))∕⩚≮⫘↔10100010110⪬≮⫘↔11000111010⇣⩺⋵(≮⫘↔11011011011⊠≄⫣)⪨⊡(≮⫘↔10001101011⫒⫫≮⫘↔100010011000⊍⩺⋍≮⫘↔101001000010⇄≮⫘↔111011011001)","cot":[{"info":"∤≮⫘↔1000101010001=≮⫘↔1001","layer":3},{"info":"+⊝⨔≮⫘↔10110101010=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1001⋕⪉⪜≮⫘↔10111110010=≮⫘↔11001100","layer":2},{"info":"⊬↢≮⫘↔1101110011110=≮⫘↔11011010","layer":3},{"info":"≮⫘↔100110110100⋾⨃∁≮⫘↔11100111100=≮⫘↔10000010110000010101110010","layer":3},{"info":"≮⫘↔11011010⋥⋵⩄≮⫘↔10000010110000010101110010=≮⫘↔1110001","layer":2},{"info":"≮⫘↔11001100⫣⪄⊒≮⫘↔1110001=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10100010110⪬≮⫘↔11000111010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔11011011011⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔10011010010⇣⩺⋵≮⫘↔0=≮⫘↔-100000100","layer":2},{"info":"≮⫘↔10001101011⫒⫫≮⫘↔100010011000=NaN","layer":3},{"info":"≮⫘↔101001000010⇄≮⫘↔111011011001=≮⫘↔0","layer":3},{"info":"NaN⊍⩺⋍≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔-100000100⪨⊡NaN=NaN","layer":1},{"info":"≮⫘↔10100000∕⩚NaN=≮⫘↔-111100111","layer":0}]}
{"id":296,"expression_no_base_symbol":"(≋($1341$∀⇚≩$1629$))↺(⪁⇼($5096$/$5436$))≀⩗∶((⋗⩬⋾$5283$)⋅⇍$4173$⩍⋽⫝̸$1681$⊾⪯⋞(($1202$⨝⩣∺)⪨≂(≯$3402$)))","expression":"(≋(≮⫘↔10100111101∀⇚≩≮⫘↔11001011101))↺(⪁⇼(≮⫘↔1001111101000/≮⫘↔1010100111100))≀⩗∶((⋗⩬⋾≮⫘↔1010010100011)⋅⇍≮⫘↔1000001001101⩍⋽⫝̸≮⫘↔11010010001⊾⪯⋞((≮⫘↔10010110010⨝⩣∺)⪨≂(≯≮⫘↔110101001010)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9495,"operation_count":13,"complexity_ratio":730.3846153846154,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1341,"base":2},"right_expr":{"type":"numeric_atoms","value":1629,"base":2}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5096,"base":2},"right_expr":{"type":"numeric_atoms","value":5436,"base":2}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5283,"base":2}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4173,"base":2},"right_expr":{"type":"numeric_atoms","value":1681,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1202,"base":2}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":3402,"base":2}}}}},"used_operators":["8INZBEW696","7j4O788W3g","61wBmkZwlr","LRNGc0VcxI","ZNVVrZ94lY","XhwjNDsVaA","HK0tfVPux8","AdZkA7nFnk","DpFCA1CohY","BiWNJpBvwn","sdazOOVcIp","ancx8kZcWl","keWfFq85dY"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","X99M06cbEe","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","JLbD19bQDL"],"result":"≮⫘↔110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1341","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1629, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":2},{"info":"number node, value=5096","layer":4},{"info":"number node, value=5436","layer":4},{"info":"compute binary expreesion, left_input=5096, right_input=5436, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=422, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=422","layer":1},{"info":"number node, value=5283","layer":4},{"info":"compute unary expreesion, input=5283, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15849","layer":3},{"info":"number node, value=4173","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=4173, right_input=1681, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=735","layer":3},{"info":"compute binary expreesion, left_input=-15849, right_input=735, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2404","layer":3},{"info":"number node, value=3402","layer":4},{"info":"compute unary expreesion, input=3402, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2404, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4706","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-4706, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":1},{"info":"compute binary expreesion, left_input=422, right_input=-820, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=6","layer":0}],"base":2,"result_base":2,"text":"(≋(≮⫘↔10100111101∀⇚≩≮⫘↔11001011101))↺(⪁⇼(≮⫘↔1001111101000/≮⫘↔1010100111100))≀⩗∶((⋗⩬⋾≮⫘↔1010010100011)⋅⇍≮⫘↔1000001001101⩍⋽⫝̸≮⫘↔11010010001⊾⪯⋞((≮⫘↔10010110010⨝⩣∺)⪨≂(≯≮⫘↔110101001010)))=≮⫘↔110","reverse_text":"≮⫘↔110=(≋(≮⫘↔10100111101∀⇚≩≮⫘↔11001011101))↺(⪁⇼(≮⫘↔1001111101000/≮⫘↔1010100111100))≀⩗∶((⋗⩬⋾≮⫘↔1010010100011)⋅⇍≮⫘↔1000001001101⩍⋽⫝̸≮⫘↔11010010001⊾⪯⋞((≮⫘↔10010110010⨝⩣∺)⪨≂(≯≮⫘↔110101001010)))","cot":[{"info":"≮⫘↔10100111101∀⇚≩≮⫘↔11001011101=NaN","layer":3},{"info":"≋NaN=NaN","layer":2},{"info":"≮⫘↔1001111101000/≮⫘↔1010100111100=≮⫘↔0","layer":3},{"info":"⪁⇼≮⫘↔0=≮⫘↔110100110","layer":2},{"info":"NaN↺≮⫘↔110100110=≮⫘↔110100110","layer":1},{"info":"⋗⩬⋾≮⫘↔1010010100011=≮⫘↔-11110111101001","layer":3},{"info":"≮⫘↔1000001001101⩍⋽⫝̸≮⫘↔11010010001=≮⫘↔1011011111","layer":3},{"info":"≮⫘↔-11110111101001⋅⇍≮⫘↔1011011111=≮⫘↔-10110","layer":2},{"info":"≮⫘↔10010110010⨝⩣∺=≮⫘↔-100101100100","layer":3},{"info":"≯≮⫘↔110101001010=≮⫘↔0","layer":3},{"info":"≮⫘↔-100101100100⪨≂≮⫘↔0=≮⫘↔-1001001100010","layer":2},{"info":"≮⫘↔-10110⊾⪯⋞≮⫘↔-1001001100010=≮⫘↔-1100110100","layer":1},{"info":"≮⫘↔110100110≀⩗∶≮⫘↔-1100110100=≮⫘↔110","layer":0}]}
{"id":297,"expression_no_base_symbol":"(($2114$⊭↱$3061$)⋣⋖(⪝⪂⫅$4293$)≎⊠⪸($1396$⪢$1654$⨳⩥⨓(⇤←$1205$)))⇐≅","expression":"((≮⫘↔100001000010⊭↱≮⫘↔101111110101)⋣⋖(⪝⪂⫅≮⫘↔1000011000101)≎⊠⪸(≮⫘↔10101110100⪢≮⫘↔11001110110⨳⩥⨓(⇤←≮⫘↔10010110101)))⇐≅","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1882,"operation_count":8,"complexity_ratio":235.25,"tree":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2114,"base":2},"right_expr":{"type":"numeric_atoms","value":3061,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4293,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1396,"base":2},"right_expr":{"type":"numeric_atoms","value":1654,"base":2}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1205,"base":2}}}}},"used_operators":["wEfv7U73WA","bJkvcejdHO","J0M6qkBnIM","COABgblf1C","XTarYq4gQB","nCS4ZIUYfx","dWAJyo7jo9","jfAgQ2OQeM"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"≮⫘↔-1000011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=3061, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1899","layer":3},{"info":"number node, value=4293","layer":4},{"info":"compute unary expreesion, input=4293, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-631071","layer":3},{"info":"compute binary expreesion, left_input=1899, right_input=-631071, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1899","layer":2},{"info":"number node, value=1396","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=1654, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-4659","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4659, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1899, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=-540","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100001000010⊭↱≮⫘↔101111110101)⋣⋖(⪝⪂⫅≮⫘↔1000011000101)≎⊠⪸(≮⫘↔10101110100⪢≮⫘↔11001110110⨳⩥⨓(⇤←≮⫘↔10010110101)))⇐≅=≮⫘↔-1000011100","reverse_text":"≮⫘↔-1000011100=((≮⫘↔100001000010⊭↱≮⫘↔101111110101)⋣⋖(⪝⪂⫅≮⫘↔1000011000101)≎⊠⪸(≮⫘↔10101110100⪢≮⫘↔11001110110⨳⩥⨓(⇤←≮⫘↔10010110101)))⇐≅","cot":[{"info":"≮⫘↔100001000010⊭↱≮⫘↔101111110101=≮⫘↔11101101011","layer":3},{"info":"⪝⪂⫅≮⫘↔1000011000101=≮⫘↔-10011010000100011111","layer":3},{"info":"≮⫘↔11101101011⋣⋖≮⫘↔-10011010000100011111=≮⫘↔11101101011","layer":2},{"info":"≮⫘↔10101110100⪢≮⫘↔11001110110=NaN","layer":3},{"info":"⇤←≮⫘↔10010110101=≮⫘↔-1001000110011","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔-1001000110011=NaN","layer":2},{"info":"≮⫘↔11101101011≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000011⇐≅=≮⫘↔-1000011100","layer":0}]}
{"id":298,"expression_no_base_symbol":"≅≯⇸($2304$⊫∞)⨂≜($1636$⩁)∥⊢⊲(($1384$⫃⨇$1095$)⊉↱≁($1198$≭$2745$))","expression":"≅≯⇸(≮⫘↔100100000000⊫∞)⨂≜(≮⫘↔11001100100⩁)∥⊢⊲((≮⫘↔10101101000⫃⨇≮⫘↔10001000111)⊉↱≁(≮⫘↔10010101110≭≮⫘↔101010111001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23247,"operation_count":8,"complexity_ratio":2905.875,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":2304,"base":2}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":1636,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1384,"base":2},"right_expr":{"type":"numeric_atoms","value":1095,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1198,"base":2},"right_expr":{"type":"numeric_atoms","value":2745,"base":2}}}}},"used_operators":["apS25hmuAe","v1UQAVDJRr","k1SHOSEABc","pABnYW3G3E","5GqDbVmqXU","w2P8NbNXyL","09Ly4LVMIf","rxpJgHHUmx"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2304","layer":4},{"info":"compute unary expreesion, input=2304, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=1636","layer":4},{"info":"compute unary expreesion, input=1636, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-10308","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10308, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1095, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4412","layer":3},{"info":"number node, value=1198","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=2745, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4412, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≅≯⇸(≮⫘↔100100000000⊫∞)⨂≜(≮⫘↔11001100100⩁)∥⊢⊲((≮⫘↔10101101000⫃⨇≮⫘↔10001000111)⊉↱≁(≮⫘↔10010101110≭≮⫘↔101010111001))=NaN","reverse_text":"NaN=≅≯⇸(≮⫘↔100100000000⊫∞)⨂≜(≮⫘↔11001100100⩁)∥⊢⊲((≮⫘↔10101101000⫃⨇≮⫘↔10001000111)⊉↱≁(≮⫘↔10010101110≭≮⫘↔101010111001))","cot":[{"info":"≮⫘↔100100000000⊫∞=≮⫘↔0","layer":3},{"info":"≮⫘↔11001100100⩁=≮⫘↔-10100001000100","layer":3},{"info":"≮⫘↔0⨂≜≮⫘↔-10100001000100=NaN","layer":2},{"info":"≮⫘↔10101101000⫃⨇≮⫘↔10001000111=≮⫘↔-1000100111100","layer":3},{"info":"≮⫘↔10010101110≭≮⫘↔101010111001=NaN","layer":3},{"info":"≮⫘↔-1000100111100⊉↱≁NaN=NaN","layer":2},{"info":"NaN∥⊢⊲NaN=NaN","layer":1},{"info":"≅≯⇸NaN=NaN","layer":0}]}
{"id":299,"expression_no_base_symbol":"(($6526$≥⨤⩑$3058$)+⇶⊼($1745$∖$1435$)↸($2092$⪮%⊝$4710$)≁($6237$⪇≇⋚$1346$))⪎↠(⇾⩊⇾($1140$⪡$6850$))↳≱($1132$⨭⪣$3712$⫳≱↱(⩒∊$3989$))","expression":"((≮⫘↔1100101111110≥⨤⩑≮⫘↔101111110010)+⇶⊼(≮⫘↔11011010001∖≮⫘↔10110011011)↸(≮⫘↔100000101100⪮%⊝≮⫘↔1001001100110)≁(≮⫘↔1100001011101⪇≇⋚≮⫘↔10101000010))⪎↠(⇾⩊⇾(≮⫘↔10001110100⪡≮⫘↔1101011000010))↳≱(≮⫘↔10001101100⨭⪣≮⫘↔111010000000⫳≱↱(⩒∊≮⫘↔111110010101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":862,"operation_count":14,"complexity_ratio":61.57142857142857,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6526,"base":2},"right_expr":{"type":"numeric_atoms","value":3058,"base":2}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1745,"base":2},"right_expr":{"type":"numeric_atoms","value":1435,"base":2}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2092,"base":2},"right_expr":{"type":"numeric_atoms","value":4710,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6237,"base":2},"right_expr":{"type":"numeric_atoms","value":1346,"base":2}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1140,"base":2},"right_expr":{"type":"numeric_atoms","value":6850,"base":2}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1132,"base":2},"right_expr":{"type":"numeric_atoms","value":3712,"base":2}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":3989,"base":2}}}}},"used_operators":["3tVxb0NHM4","1eCjFl0mb9","TpPTUOHfaN","gJLn6v0xnP","tXD093vOjl","8N2wDY1A35","IWmyXbctLI","3sJ7IOPOlU","JwTKLfZU96","bx9Z9DAK5y","oraRL2iQuh","ZvLB05nZmT","kn8WO9XteQ","qazvmhNBbN"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","AHs5Up7iyr","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"≮⫘↔1101100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6526","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=6526, right_input=3058, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1435, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"number node, value=2092","layer":4},{"info":"number node, value=4710","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=4710, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4500","layer":3},{"info":"number node, value=6237","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=6237, right_input=1346, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4500, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8941, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":1},{"info":"number node, value=1140","layer":4},{"info":"number node, value=6850","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=6850, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-7449","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=3712","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3712, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-147","layer":3},{"info":"number node, value=3989","layer":4},{"info":"compute unary expreesion, input=3989, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=7221","layer":3},{"info":"compute binary expreesion, left_input=-147, right_input=7221, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=-7449, right_input=-204, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100101111110≥⨤⩑≮⫘↔101111110010)+⇶⊼(≮⫘↔11011010001∖≮⫘↔10110011011)↸(≮⫘↔100000101100⪮%⊝≮⫘↔1001001100110)≁(≮⫘↔1100001011101⪇≇⋚≮⫘↔10101000010))⪎↠(⇾⩊⇾(≮⫘↔10001110100⪡≮⫘↔1101011000010))↳≱(≮⫘↔10001101100⨭⪣≮⫘↔111010000000⫳≱↱(⩒∊≮⫘↔111110010101))=≮⫘↔1101100100","reverse_text":"≮⫘↔1101100100=((≮⫘↔1100101111110≥⨤⩑≮⫘↔101111110010)+⇶⊼(≮⫘↔11011010001∖≮⫘↔10110011011)↸(≮⫘↔100000101100⪮%⊝≮⫘↔1001001100110)≁(≮⫘↔1100001011101⪇≇⋚≮⫘↔10101000010))⪎↠(⇾⩊⇾(≮⫘↔10001110100⪡≮⫘↔1101011000010))↳≱(≮⫘↔10001101100⨭⪣≮⫘↔111010000000⫳≱↱(⩒∊≮⫘↔111110010101))","cot":[{"info":"≮⫘↔1100101111110≥⨤⩑≮⫘↔101111110010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔11011010001∖≮⫘↔10110011011=≮⫘↔0","layer":3},{"info":"≮⫘↔10011010010+⇶⊼≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔100000101100⪮%⊝≮⫘↔1001001100110=≮⫘↔1000110010100","layer":3},{"info":"≮⫘↔1100001011101⪇≇⋚≮⫘↔10101000010=≮⫘↔0","layer":3},{"info":"≮⫘↔1000110010100≁≮⫘↔0=≮⫘↔-10001011101101","layer":2},{"info":"≮⫘↔0↸≮⫘↔-10001011101101=≮⫘↔0","layer":1},{"info":"≮⫘↔10001110100⪡≮⫘↔1101011000010=≮⫘↔1101011","layer":3},{"info":"⇾⩊⇾≮⫘↔1101011=≮⫘↔-1110100011001","layer":2},{"info":"≮⫘↔10001101100⨭⪣≮⫘↔111010000000=≮⫘↔-10010011","layer":3},{"info":"⩒∊≮⫘↔111110010101=≮⫘↔1110000110101","layer":3},{"info":"≮⫘↔-10010011⫳≱↱≮⫘↔1110000110101=≮⫘↔-11001100","layer":2},{"info":"≮⫘↔-1110100011001↳≱≮⫘↔-11001100=≮⫘↔0","layer":1},{"info":"≮⫘↔0⪎↠≮⫘↔0=≮⫘↔1101100100","layer":0}]}
{"id":300,"expression_no_base_symbol":"((⩒∊$4317$)⪪$6587$⇂≾⫗$4230$⋅⇍($1146$∼$3710$)⪮%⊝($3060$≀⫉$3305$))≦↸((($7730$⨎⋸⪻)⊉≛↸$1144$⪭$4491$)≬⇓(↩$9512$)∓⋝($4319$⨚$2827$))","expression":"((⩒∊≮⫘↔1000011011101)⪪≮⫘↔1100110111011⇂≾⫗≮⫘↔1000010000110⋅⇍(≮⫘↔10001111010∼≮⫘↔111001111110)⪮%⊝(≮⫘↔101111110100≀⫉≮⫘↔110011101001))≦↸(((≮⫘↔1111000110010⨎⋸⪻)⊉≛↸≮⫘↔10001111000⪭≮⫘↔1000110001011)≬⇓(↩≮⫘↔10010100101000)∓⋝(≮⫘↔1000011011111⨚≮⫘↔101100001011))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24146,"operation_count":15,"complexity_ratio":1609.7333333333333,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4317,"base":2}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":6587,"base":2},"right_expr":{"type":"numeric_atoms","value":4230,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1146,"base":2},"right_expr":{"type":"numeric_atoms","value":3710,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3060,"base":2},"right_expr":{"type":"numeric_atoms","value":3305,"base":2}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":7730,"base":2}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1144,"base":2},"right_expr":{"type":"numeric_atoms","value":4491,"base":2}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":9512,"base":2}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4319,"base":2},"right_expr":{"type":"numeric_atoms","value":2827,"base":2}}}}},"used_operators":["RygbFNSyEJ","AdZkA7nFnk","xD69zh8xqp","qazvmhNBbN","aBQ6xLxuTc","IWmyXbctLI","DyGG3AbaNP","oZj3VtZNQx","jWTQ2TZYIH","DZ8iAZOCBD","Dk5vyLCiGd","j9kHMeSvPp","PoHhknlbAi","jLgFTUHLKL","nREPSIbpBE"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","FU0Cs4j7VP","JclMnS0uGI","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","COABgblf1C","xUOZtlo3hN","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","BjRHVeLaeN","12rbrZMWeM"],"result":"≮⫘↔-1001000010011010001001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4317","layer":4},{"info":"compute unary expreesion, input=4317, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=7877","layer":3},{"info":"number node, value=6587","layer":4},{"info":"number node, value=4230","layer":4},{"info":"compute binary expreesion, left_input=6587, right_input=4230, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=7877, right_input=-676, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1185516","layer":2},{"info":"number node, value=1146","layer":4},{"info":"number node, value=3710","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=3710, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=3060","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=3305, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1185516, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=1184943","layer":1},{"info":"number node, value=7730","layer":4},{"info":"compute unary expreesion, input=7730, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=15776","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=4491","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=4491, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=15776, right_input=5, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=31552","layer":2},{"info":"number node, value=9512","layer":4},{"info":"compute unary expreesion, input=9512, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-73316","layer":3},{"info":"number node, value=4319","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=2827, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1736","layer":3},{"info":"compute binary expreesion, left_input=-73316, right_input=-1736, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=31552, right_input=67, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=1184943, right_input=-22, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-2369161","layer":0}],"base":2,"result_base":2,"text":"((⩒∊≮⫘↔1000011011101)⪪≮⫘↔1100110111011⇂≾⫗≮⫘↔1000010000110⋅⇍(≮⫘↔10001111010∼≮⫘↔111001111110)⪮%⊝(≮⫘↔101111110100≀⫉≮⫘↔110011101001))≦↸(((≮⫘↔1111000110010⨎⋸⪻)⊉≛↸≮⫘↔10001111000⪭≮⫘↔1000110001011)≬⇓(↩≮⫘↔10010100101000)∓⋝(≮⫘↔1000011011111⨚≮⫘↔101100001011))=≮⫘↔-1001000010011010001001","reverse_text":"≮⫘↔-1001000010011010001001=((⩒∊≮⫘↔1000011011101)⪪≮⫘↔1100110111011⇂≾⫗≮⫘↔1000010000110⋅⇍(≮⫘↔10001111010∼≮⫘↔111001111110)⪮%⊝(≮⫘↔101111110100≀⫉≮⫘↔110011101001))≦↸(((≮⫘↔1111000110010⨎⋸⪻)⊉≛↸≮⫘↔10001111000⪭≮⫘↔1000110001011)≬⇓(↩≮⫘↔10010100101000)∓⋝(≮⫘↔1000011011111⨚≮⫘↔101100001011))","cot":[{"info":"⩒∊≮⫘↔1000011011101=≮⫘↔1111011000101","layer":3},{"info":"≮⫘↔1100110111011⇂≾⫗≮⫘↔1000010000110=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔1111011000101⪪≮⫘↔-1010100100=≮⫘↔-100100001011011101100","layer":2},{"info":"≮⫘↔10001111010∼≮⫘↔111001111110=NaN","layer":3},{"info":"≮⫘↔101111110100≀⫉≮⫘↔110011101001=≮⫘↔101100000110","layer":3},{"info":"NaN⪮%⊝≮⫘↔101100000110=NaN","layer":2},{"info":"≮⫘↔-100100001011011101100⋅⇍NaN=≮⫘↔100100001010010101111","layer":1},{"info":"≮⫘↔1111000110010⨎⋸⪻=≮⫘↔11110110100000","layer":3},{"info":"≮⫘↔10001111000⪭≮⫘↔1000110001011=≮⫘↔101","layer":3},{"info":"≮⫘↔11110110100000⊉≛↸≮⫘↔101=≮⫘↔111101101000000","layer":2},{"info":"↩≮⫘↔10010100101000=≮⫘↔-10001111001100100","layer":3},{"info":"≮⫘↔1000011011111⨚≮⫘↔101100001011=≮⫘↔-11011001000","layer":3},{"info":"≮⫘↔-10001111001100100∓⋝≮⫘↔-11011001000=≮⫘↔1000011","layer":2},{"info":"≮⫘↔111101101000000≬⇓≮⫘↔1000011=≮⫘↔-10110","layer":1},{"info":"≮⫘↔100100001010010101111≦↸≮⫘↔-10110=≮⫘↔-1001000010011010001001","layer":0}]}
{"id":301,"expression_no_base_symbol":"(≅≯⇸($2386$∴$1367$≚⋢))⇍⊗(((⇈$5774$)∠⫱$1090$↞⋁$1948$)∠↢(⇵⪽(∐⩳⋚$2207$)))","expression":"(≅≯⇸(≮⫘↔100101010010∴≮⫘↔10101010111≚⋢))⇍⊗(((⇈≮⫘↔1011010001110)∠⫱≮⫘↔10001000010↞⋁≮⫘↔11110011100)∠↢(⇵⪽(∐⩳⋚≮⫘↔100010011111)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1533,"operation_count":10,"complexity_ratio":153.3,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2386,"base":2},"right_expr":{"type":"numeric_atoms","value":1367,"base":2}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":5774,"base":2}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1090,"base":2},"right_expr":{"type":"numeric_atoms","value":1948,"base":2}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2207,"base":2}}}}},"used_operators":["5uvYHDjeKN","apS25hmuAe","MahUMFw56D","hrf7POJlIJ","KbjG8mgYpV","QvoQhV0rrE","SLLxy00UIr","RqrPlJkxDo","ZGCBLdVRRX","SL6IHkK8vl"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","EBcxylXtPf","QMFrweE19q","3ViojmjbAp","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","U7g4x0WXJJ","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2386","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1367, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6420","layer":3},{"info":"compute unary expreesion, input=6420, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute unary expreesion, input=-89, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7321","layer":1},{"info":"number node, value=5774","layer":4},{"info":"compute unary expreesion, input=5774, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1090","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1948, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=314874","layer":3},{"info":"compute unary expreesion, input=314874, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7321, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≅≯⇸(≮⫘↔100101010010∴≮⫘↔10101010111≚⋢))⇍⊗(((⇈≮⫘↔1011010001110)∠⫱≮⫘↔10001000010↞⋁≮⫘↔11110011100)∠↢(⇵⪽(∐⩳⋚≮⫘↔100010011111)))=NaN","reverse_text":"NaN=(≅≯⇸(≮⫘↔100101010010∴≮⫘↔10101010111≚⋢))⇍⊗(((⇈≮⫘↔1011010001110)∠⫱≮⫘↔10001000010↞⋁≮⫘↔11110011100)∠↢(⇵⪽(∐⩳⋚≮⫘↔100010011111)))","cot":[{"info":"≮⫘↔100101010010∴≮⫘↔10101010111=≮⫘↔1100100010100","layer":3},{"info":"≮⫘↔1100100010100≚⋢=≮⫘↔-1011001","layer":2},{"info":"≅≯⇸≮⫘↔-1011001=≮⫘↔1110010011001","layer":1},{"info":"⇈≮⫘↔1011010001110=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔10001000010↞⋁≮⫘↔11110011100=NaN","layer":3},{"info":"≮⫘↔-110111111∠⫱NaN=NaN","layer":2},{"info":"∐⩳⋚≮⫘↔100010011111=≮⫘↔1001100110111111010","layer":3},{"info":"⇵⪽≮⫘↔1001100110111111010=NaN","layer":2},{"info":"NaN∠↢NaN=NaN","layer":1},{"info":"≮⫘↔1110010011001⇍⊗NaN=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"((($3813$⫩⊇)≭$1143$⫁$4525$)≨(⪹($1503$≓∲$1521$)))⨥⫆((⫛⫱⨽$5817$)⩼⇪↪$1946$∓⋝$1237$∷($1077$⩍⋽⫝̸$1906$∙∹∝$1212$⫰⋱$2049$))","expression":"(((≮⫘↔111011100101⫩⊇)≭≮⫘↔10001110111⫁≮⫘↔1000110101101)≨(⪹(≮⫘↔10111011111≓∲≮⫘↔10111110001)))⨥⫆((⫛⫱⨽≮⫘↔1011010111001)⩼⇪↪≮⫘↔11110011010∓⋝≮⫘↔10011010101∷(≮⫘↔10000110101⩍⋽⫝̸≮⫘↔11101110010∙∹∝≮⫘↔10010111100⫰⋱≮⫘↔100000000001))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1707,"operation_count":14,"complexity_ratio":121.92857142857143,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3813,"base":2}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1143,"base":2},"right_expr":{"type":"numeric_atoms","value":4525,"base":2}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1503,"base":2},"right_expr":{"type":"numeric_atoms","value":1521,"base":2}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5817,"base":2}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1946,"base":2},"right_expr":{"type":"numeric_atoms","value":1237,"base":2}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1077,"base":2},"right_expr":{"type":"numeric_atoms","value":1906,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1212,"base":2},"right_expr":{"type":"numeric_atoms","value":2049,"base":2}}}}},"used_operators":["yXekIHxTD4","0KMCeP1Jsh","rxpJgHHUmx","BjRHVeLaeN","0ajvFaJAv0","USyYr0JgAa","s1XTVnmDOJ","D3AQDKkPcf","ocnLzx9CaJ","DlLNRPXxWL","PoHhknlbAi","HmxsFra2vL","BiWNJpBvwn","6o9Blt3TJ6"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","tifHPKVTfV","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rGHVDoGpnC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3813","layer":4},{"info":"compute unary expreesion, input=3813, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3771","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=4525","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=4525, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-3771, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1503","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=1521, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=15813","layer":3},{"info":"compute unary expreesion, input=15813, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-15633","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15633, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"number node, value=5817","layer":4},{"info":"compute unary expreesion, input=5817, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=1237, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-1252","layer":2},{"info":"number node, value=1077","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=1906, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=960","layer":3},{"info":"number node, value=1212","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=2049, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1179","layer":3},{"info":"compute binary expreesion, left_input=960, right_input=-1179, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1252, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=458","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=458, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔111011100101⫩⊇)≭≮⫘↔10001110111⫁≮⫘↔1000110101101)≨(⪹(≮⫘↔10111011111≓∲≮⫘↔10111110001)))⨥⫆((⫛⫱⨽≮⫘↔1011010111001)⩼⇪↪≮⫘↔11110011010∓⋝≮⫘↔10011010101∷(≮⫘↔10000110101⩍⋽⫝̸≮⫘↔11101110010∙∹∝≮⫘↔10010111100⫰⋱≮⫘↔100000000001))=NaN","reverse_text":"NaN=(((≮⫘↔111011100101⫩⊇)≭≮⫘↔10001110111⫁≮⫘↔1000110101101)≨(⪹(≮⫘↔10111011111≓∲≮⫘↔10111110001)))⨥⫆((⫛⫱⨽≮⫘↔1011010111001)⩼⇪↪≮⫘↔11110011010∓⋝≮⫘↔10011010101∷(≮⫘↔10000110101⩍⋽⫝̸≮⫘↔11101110010∙∹∝≮⫘↔10010111100⫰⋱≮⫘↔100000000001))","cot":[{"info":"≮⫘↔111011100101⫩⊇=≮⫘↔-111010111011","layer":3},{"info":"≮⫘↔10001110111⫁≮⫘↔1000110101101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-111010111011≭≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔10111011111≓∲≮⫘↔10111110001=≮⫘↔11110111000101","layer":3},{"info":"⪹≮⫘↔11110111000101=≮⫘↔-11110100010001","layer":2},{"info":"NaN≨≮⫘↔-11110100010001=NaN","layer":1},{"info":"⫛⫱⨽≮⫘↔1011010111001=≮⫘↔0","layer":3},{"info":"≮⫘↔11110011010∓⋝≮⫘↔10011010101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔0⩼⇪↪≮⫘↔1000011=≮⫘↔-10011100100","layer":2},{"info":"≮⫘↔10000110101⩍⋽⫝̸≮⫘↔11101110010=≮⫘↔1111000000","layer":3},{"info":"≮⫘↔10010111100⫰⋱≮⫘↔100000000001=≮⫘↔-10010011011","layer":3},{"info":"≮⫘↔1111000000∙∹∝≮⫘↔-10010011011=≮⫘↔0","layer":2},{"info":"≮⫘↔-10011100100∷≮⫘↔0=≮⫘↔111001010","layer":1},{"info":"NaN⨥⫆≮⫘↔111001010=NaN","layer":0}]}
{"id":303,"expression_no_base_symbol":"(⇵⪽($5785$⩘))≳⇉($1603$≃$5068$)≁($1493$↼⊘⨖$1885$)∲⫓(∂⩏⊆$3926$⨜⨶$2905$)⪍↜⋙(⊬↢($3659$⨝⩣∺))","expression":"(⇵⪽(≮⫘↔1011010011001⩘))≳⇉(≮⫘↔11001000011≃≮⫘↔1001111001100)≁(≮⫘↔10111010101↼⊘⨖≮⫘↔11101011101)∲⫓(∂⩏⊆≮⫘↔111101010110⨜⨶≮⫘↔101101011001)⪍↜⋙(⊬↢(≮⫘↔111001001011⨝⩣∺))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":79533,"operation_count":12,"complexity_ratio":6627.75,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":5785,"base":2}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1603,"base":2},"right_expr":{"type":"numeric_atoms","value":5068,"base":2}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1493,"base":2},"right_expr":{"type":"numeric_atoms","value":1885,"base":2}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3926,"base":2},"right_expr":{"type":"numeric_atoms","value":2905,"base":2}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":3659,"base":2}}}}},"used_operators":["i8ToyICDmI","V0kx6qeWkN","ZGCBLdVRRX","wvHyciQT5X","8N2wDY1A35","YbVcJGFEVW","bPywburJMS","L05ObWFQCd","8WDwsbhb0R","HiPekx5b7W","WPoGxAaPR1","ancx8kZcWl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","U7g4x0WXJJ","9ICcGScMcE","dfKe02y8D2","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","14qkJME0vr","eLAdDNolq6","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","DZ8iAZOCBD","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5785","layer":4},{"info":"compute unary expreesion, input=5785, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=1603","layer":4},{"info":"number node, value=5068","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=5068, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-6452","layer":3},{"info":"number node, value=1493","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=1885, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3548","layer":3},{"info":"compute binary expreesion, left_input=-6452, right_input=3548, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=71951","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=71951, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=3926","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=2905, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5554","layer":3},{"info":"compute unary expreesion, input=-5554, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=6038","layer":2},{"info":"number node, value=3659","layer":4},{"info":"compute unary expreesion, input=3659, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-7318","layer":3},{"info":"compute unary expreesion, input=-7318, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=6038, right_input=-55, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=12186","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12186, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⇵⪽(≮⫘↔1011010011001⩘))≳⇉(≮⫘↔11001000011≃≮⫘↔1001111001100)≁(≮⫘↔10111010101↼⊘⨖≮⫘↔11101011101)∲⫓(∂⩏⊆≮⫘↔111101010110⨜⨶≮⫘↔101101011001)⪍↜⋙(⊬↢(≮⫘↔111001001011⨝⩣∺))=≮⫘↔0","reverse_text":"≮⫘↔0=(⇵⪽(≮⫘↔1011010011001⩘))≳⇉(≮⫘↔11001000011≃≮⫘↔1001111001100)≁(≮⫘↔10111010101↼⊘⨖≮⫘↔11101011101)∲⫓(∂⩏⊆≮⫘↔111101010110⨜⨶≮⫘↔101101011001)⪍↜⋙(⊬↢(≮⫘↔111001001011⨝⩣∺))","cot":[{"info":"≮⫘↔1011010011001⩘=≮⫘↔1000011","layer":3},{"info":"⇵⪽≮⫘↔1000011=NaN","layer":2},{"info":"≮⫘↔11001000011≃≮⫘↔1001111001100=≮⫘↔-1100100110100","layer":3},{"info":"≮⫘↔10111010101↼⊘⨖≮⫘↔11101011101=≮⫘↔110111011100","layer":3},{"info":"≮⫘↔-1100100110100≁≮⫘↔110111011100=≮⫘↔10001100100001111","layer":2},{"info":"NaN≳⇉≮⫘↔10001100100001111=NaN","layer":1},{"info":"≮⫘↔111101010110⨜⨶≮⫘↔101101011001=≮⫘↔-1010110110010","layer":3},{"info":"∂⩏⊆≮⫘↔-1010110110010=≮⫘↔1011110010110","layer":2},{"info":"≮⫘↔111001001011⨝⩣∺=≮⫘↔-1110010010110","layer":3},{"info":"⊬↢≮⫘↔-1110010010110=≮⫘↔-110111","layer":2},{"info":"≮⫘↔1011110010110⪍↜⋙≮⫘↔-110111=≮⫘↔10111110011010","layer":1},{"info":"NaN∲⫓≮⫘↔10111110011010=≮⫘↔0","layer":0}]}
{"id":304,"expression_no_base_symbol":"⨵≀≌(⇉-⫰$8630$⪚$4233$⇍⊗($4101$-$1004$))","expression":"⨵≀≌(⇉-⫰≮⫘↔10000110110110⪚≮⫘↔1000010001001⇍⊗(≮⫘↔1000000000101-≮⫘↔1111101100))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":95,"operation_count":5,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":8630,"base":2},"right_expr":{"type":"numeric_atoms","value":4233,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4101,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}}}}},"used_operators":["srAu1WTS94","IGFM8TAlm9","5uvYHDjeKN","HrjLwUk87U","rysDP5nf3Z"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eH2TOUuTDT","eewbuw0ToL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"≮⫘↔110010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8630","layer":4},{"info":"number node, value=4233","layer":4},{"info":"compute binary expreesion, left_input=8630, right_input=4233, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=8438","layer":3},{"info":"number node, value=4101","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=4101, right_input=1004, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3097","layer":3},{"info":"compute binary expreesion, left_input=8438, right_input=3097, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=400","layer":0}],"base":2,"result_base":2,"text":"⨵≀≌(⇉-⫰≮⫘↔10000110110110⪚≮⫘↔1000010001001⇍⊗(≮⫘↔1000000000101-≮⫘↔1111101100))=≮⫘↔110010000","reverse_text":"≮⫘↔110010000=⨵≀≌(⇉-⫰≮⫘↔10000110110110⪚≮⫘↔1000010001001⇍⊗(≮⫘↔1000000000101-≮⫘↔1111101100))","cot":[{"info":"≮⫘↔10000110110110⪚≮⫘↔1000010001001=≮⫘↔10000011110110","layer":3},{"info":"≮⫘↔1000000000101-≮⫘↔1111101100=≮⫘↔110000011001","layer":3},{"info":"≮⫘↔10000011110110⇍⊗≮⫘↔110000011001=≮⫘↔-11110100","layer":2},{"info":"⇉-⫰≮⫘↔-11110100=≮⫘↔10100","layer":1},{"info":"⨵≀≌≮⫘↔10100=≮⫘↔110010000","layer":0}]}
{"id":305,"expression_no_base_symbol":"($2049$+⇶⊼$1084$⨵⪆(↞≼$1207$)∕⩚(↪⫪⫘$3319$)⨔≚≋$5609$⩒⫫$8473$)∴((⨞⊢$5489$)⩇∃⫛($1107$⇮⋭$4058$)-($1126$%$2470$)⨒($2610$⫌⩉⩟$3807$))","expression":"(≮⫘↔100000000001+⇶⊼≮⫘↔10000111100⨵⪆(↞≼≮⫘↔10010110111)∕⩚(↪⫪⫘≮⫘↔110011110111)⨔≚≋≮⫘↔1010111101001⩒⫫≮⫘↔10000100011001)∴((⨞⊢≮⫘↔1010101110001)⩇∃⫛(≮⫘↔10001010011⇮⋭≮⫘↔111111011010)-(≮⫘↔10001100110%≮⫘↔100110100110)⨒(≮⫘↔101000110010⫌⩉⩟≮⫘↔111011011111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19649,"operation_count":15,"complexity_ratio":1309.9333333333334,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2049,"base":2},"right_expr":{"type":"numeric_atoms","value":1084,"base":2}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1207,"base":2}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":3319,"base":2}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5609,"base":2},"right_expr":{"type":"numeric_atoms","value":8473,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5489,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1107,"base":2},"right_expr":{"type":"numeric_atoms","value":4058,"base":2}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1126,"base":2},"right_expr":{"type":"numeric_atoms","value":2470,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2610,"base":2},"right_expr":{"type":"numeric_atoms","value":3807,"base":2}}}}},"used_operators":["hrf7POJlIJ","z9ffQ9n5Zr","2DQ55sFlQl","TpPTUOHfaN","DE7zCoGJt9","Z57zeUYC9z","9dWsAM3GFt","KFSx94NKJn","rysDP5nf3Z","1aApVXNlOP","xUOZtlo3hN","vkpjKywKVM","y75s1iXyHd","k8jYdgA6NY","XIIwhv8d0m"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≮⫘↔1010100010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1084, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=9242","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9242, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3319","layer":4},{"info":"compute unary expreesion, input=3319, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=5609","layer":4},{"info":"number node, value=8473","layer":4},{"info":"compute binary expreesion, left_input=5609, right_input=8473, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5307","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=5307, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-45536","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-45536, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=5489","layer":4},{"info":"compute unary expreesion, input=5489, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5663","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=4058","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=4058, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-5663, right_input=-473, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-5663","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2470, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1126","layer":3},{"info":"number node, value=2610","layer":4},{"info":"number node, value=3807","layer":4},{"info":"compute binary expreesion, left_input=2610, right_input=3807, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=1126, right_input=-50, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5663, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5663","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=-5663, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=674","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100000000001+⇶⊼≮⫘↔10000111100⨵⪆(↞≼≮⫘↔10010110111)∕⩚(↪⫪⫘≮⫘↔110011110111)⨔≚≋≮⫘↔1010111101001⩒⫫≮⫘↔10000100011001)∴((⨞⊢≮⫘↔1010101110001)⩇∃⫛(≮⫘↔10001010011⇮⋭≮⫘↔111111011010)-(≮⫘↔10001100110%≮⫘↔100110100110)⨒(≮⫘↔101000110010⫌⩉⩟≮⫘↔111011011111))=≮⫘↔1010100010","reverse_text":"≮⫘↔1010100010=(≮⫘↔100000000001+⇶⊼≮⫘↔10000111100⨵⪆(↞≼≮⫘↔10010110111)∕⩚(↪⫪⫘≮⫘↔110011110111)⨔≚≋≮⫘↔1010111101001⩒⫫≮⫘↔10000100011001)∴((⨞⊢≮⫘↔1010101110001)⩇∃⫛(≮⫘↔10001010011⇮⋭≮⫘↔111111011010)-(≮⫘↔10001100110%≮⫘↔100110100110)⨒(≮⫘↔101000110010⫌⩉⩟≮⫘↔111011011111))","cot":[{"info":"≮⫘↔100000000001+⇶⊼≮⫘↔10000111100=NaN","layer":3},{"info":"↞≼≮⫘↔10010110111=≮⫘↔10010000011010","layer":3},{"info":"NaN⨵⪆≮⫘↔10010000011010=≮⫘↔10100000","layer":2},{"info":"↪⫪⫘≮⫘↔110011110111=≮⫘↔10100","layer":3},{"info":"≮⫘↔1010111101001⩒⫫≮⫘↔10000100011001=≮⫘↔1010010111011","layer":3},{"info":"≮⫘↔10100⨔≚≋≮⫘↔1010010111011=≮⫘↔-1011000111100000","layer":2},{"info":"≮⫘↔10100000∕⩚≮⫘↔-1011000111100000=≮⫘↔-111100111","layer":1},{"info":"⨞⊢≮⫘↔1010101110001=≮⫘↔-1011000011111","layer":3},{"info":"≮⫘↔10001010011⇮⋭≮⫘↔111111011010=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔-1011000011111⩇∃⫛≮⫘↔-111011001=≮⫘↔-1011000011111","layer":2},{"info":"≮⫘↔10001100110%≮⫘↔100110100110=≮⫘↔10001100110","layer":3},{"info":"≮⫘↔101000110010⫌⩉⩟≮⫘↔111011011111=≮⫘↔-110010","layer":3},{"info":"≮⫘↔10001100110⨒≮⫘↔-110010=≮⫘↔0","layer":2},{"info":"≮⫘↔-1011000011111-≮⫘↔0=≮⫘↔-1011000011111","layer":1},{"info":"≮⫘↔-111100111∴≮⫘↔-1011000011111=≮⫘↔1010100010","layer":0}]}
{"id":306,"expression_no_base_symbol":"⫖→(($2347$⫦⪉$2880$)≃($2186$⩨$1581$))≒∊(($1150$⩱)⫦⪉$6089$⨼⩣$2415$)","expression":"⫖→((≮⫘↔100100101011⫦⪉≮⫘↔101101000000)≃(≮⫘↔100010001010⩨≮⫘↔11000101101))≒∊((≮⫘↔10001111110⩱)⫦⪉≮⫘↔1011111001001⨼⩣≮⫘↔100101101111)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1244,"operation_count":8,"complexity_ratio":155.5,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2347,"base":2},"right_expr":{"type":"numeric_atoms","value":2880,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2186,"base":2},"right_expr":{"type":"numeric_atoms","value":1581,"base":2}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1150,"base":2}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":6089,"base":2},"right_expr":{"type":"numeric_atoms","value":2415,"base":2}}}}},"used_operators":["U4ylXWHChL","5KTvxBwnZo","YbVcJGFEVW","wscyQdcy20","2DlMacCsIx","uyq1hVkAcj","JxwMv5le6e"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2347","layer":4},{"info":"number node, value=2880","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=2880, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=206","layer":3},{"info":"number node, value=2186","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=1581, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=206, right_input=0, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-80","layer":2},{"info":"number node, value=1150","layer":4},{"info":"compute unary expreesion, input=1150, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-7150","layer":3},{"info":"number node, value=6089","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=6089, right_input=2415, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7150, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=18138","layer":2},{"info":"compute binary expreesion, left_input=-80, right_input=18138, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=564","layer":1},{"info":"compute unary expreesion, input=564, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":2,"result_base":2,"text":"⫖→((≮⫘↔100100101011⫦⪉≮⫘↔101101000000)≃(≮⫘↔100010001010⩨≮⫘↔11000101101))≒∊((≮⫘↔10001111110⩱)⫦⪉≮⫘↔1011111001001⨼⩣≮⫘↔100101101111)=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=⫖→((≮⫘↔100100101011⫦⪉≮⫘↔101101000000)≃(≮⫘↔100010001010⩨≮⫘↔11000101101))≒∊((≮⫘↔10001111110⩱)⫦⪉≮⫘↔1011111001001⨼⩣≮⫘↔100101101111)","cot":[{"info":"≮⫘↔100100101011⫦⪉≮⫘↔101101000000=≮⫘↔11001110","layer":3},{"info":"≮⫘↔100010001010⩨≮⫘↔11000101101=≮⫘↔0","layer":3},{"info":"≮⫘↔11001110≃≮⫘↔0=≮⫘↔-1010000","layer":2},{"info":"≮⫘↔10001111110⩱=≮⫘↔-1101111101110","layer":3},{"info":"≮⫘↔1011111001001⨼⩣≮⫘↔100101101111=NaN","layer":3},{"info":"≮⫘↔-1101111101110⫦⪉NaN=≮⫘↔100011011011010","layer":2},{"info":"≮⫘↔-1010000≒∊≮⫘↔100011011011010=≮⫘↔1000110100","layer":1},{"info":"⫖→≮⫘↔1000110100=≮⫘↔10110001","layer":0}]}
{"id":307,"expression_no_base_symbol":"(≻⋜(⩦⊞$1096$))⊋($1518$∥⊢⊲$3104$)⫯⪬∳($2024$≃$7341$)⫸⇳(($2116$∕⩚$1467$)⇼⇔∾(≻⋜$3634$))⇌⫙⪟(($1057$⊫∞)⫸⇳$2023$⪝$2564$)","expression":"(≻⋜(⩦⊞≮⫘↔10001001000))⊋(≮⫘↔10111101110∥⊢⊲≮⫘↔110000100000)⫯⪬∳(≮⫘↔11111101000≃≮⫘↔1110010101101)⫸⇳((≮⫘↔100001000100∕⩚≮⫘↔10110111011)⇼⇔∾(≻⋜≮⫘↔111000110010))⇌⫙⪟((≮⫘↔10000100001⊫∞)⫸⇳≮⫘↔11111100111⪝≮⫘↔101000000100)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":50000,"operation_count":14,"complexity_ratio":3571.4285714285716,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1096,"base":2}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1518,"base":2},"right_expr":{"type":"numeric_atoms","value":3104,"base":2}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2024,"base":2},"right_expr":{"type":"numeric_atoms","value":7341,"base":2}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2116,"base":2},"right_expr":{"type":"numeric_atoms","value":1467,"base":2}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3634,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":1057,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2023,"base":2},"right_expr":{"type":"numeric_atoms","value":2564,"base":2}}}}},"used_operators":["gx7XJ7hdpj","W4tP9CfskL","3tj9sqzovi","u7fv1HBiaC","d7ASUq0ydm","v1UQAVDJRr","YbVcJGFEVW","AFVx7xoS7T","tifHPKVTfV","z9ffQ9n5Zr","pABnYW3G3E","wicAB68Tmb"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"compute unary expreesion, input=1096, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-823","layer":3},{"info":"compute unary expreesion, input=-823, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=1518","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=3104, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=2024","layer":4},{"info":"number node, value=7341","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=7341, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-8136","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8136, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"number node, value=2116","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=1467, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2119","layer":3},{"info":"number node, value=3634","layer":4},{"info":"compute unary expreesion, input=3634, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2119, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=2023","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=2564, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=237, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≻⋜(⩦⊞≮⫘↔10001001000))⊋(≮⫘↔10111101110∥⊢⊲≮⫘↔110000100000)⫯⪬∳(≮⫘↔11111101000≃≮⫘↔1110010101101)⫸⇳((≮⫘↔100001000100∕⩚≮⫘↔10110111011)⇼⇔∾(≻⋜≮⫘↔111000110010))⇌⫙⪟((≮⫘↔10000100001⊫∞)⫸⇳≮⫘↔11111100111⪝≮⫘↔101000000100)=NaN","reverse_text":"NaN=(≻⋜(⩦⊞≮⫘↔10001001000))⊋(≮⫘↔10111101110∥⊢⊲≮⫘↔110000100000)⫯⪬∳(≮⫘↔11111101000≃≮⫘↔1110010101101)⫸⇳((≮⫘↔100001000100∕⩚≮⫘↔10110111011)⇼⇔∾(≻⋜≮⫘↔111000110010))⇌⫙⪟((≮⫘↔10000100001⊫∞)⫸⇳≮⫘↔11111100111⪝≮⫘↔101000000100)","cot":[{"info":"⩦⊞≮⫘↔10001001000=≮⫘↔-1100110111","layer":3},{"info":"≻⋜≮⫘↔-1100110111=NaN","layer":2},{"info":"≮⫘↔10111101110∥⊢⊲≮⫘↔110000100000=NaN","layer":3},{"info":"≮⫘↔11111101000≃≮⫘↔1110010101101=≮⫘↔-1111111001000","layer":3},{"info":"NaN⫯⪬∳≮⫘↔-1111111001000=NaN","layer":2},{"info":"NaN⊋NaN=NaN","layer":1},{"info":"≮⫘↔100001000100∕⩚≮⫘↔10110111011=≮⫘↔-100001000111","layer":3},{"info":"≻⋜≮⫘↔111000110010=NaN","layer":3},{"info":"≮⫘↔-100001000111⇼⇔∾NaN=NaN","layer":2},{"info":"≮⫘↔10000100001⊫∞=≮⫘↔0","layer":3},{"info":"≮⫘↔11111100111⪝≮⫘↔101000000100=≮⫘↔11101101","layer":3},{"info":"≮⫘↔0⫸⇳≮⫘↔11101101=≮⫘↔0","layer":2},{"info":"NaN⇌⫙⪟≮⫘↔0=NaN","layer":1},{"info":"NaN⫸⇳NaN=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"((($3038$↸$6929$)∙⊟$2670$⨫⇇↔$1034$)≦≮≮)⋾⨃∁(≤/$2247$≦↸$3629$)⋣⋖(($1871$⋐⇩⊬)↙(⊈$1699$))","expression":"(((≮⫘↔101111011110↸≮⫘↔1101100010001)∙⊟≮⫘↔101001101110⨫⇇↔≮⫘↔10000001010)≦≮≮)⋾⨃∁(≤/≮⫘↔100011000111≦↸≮⫘↔111000101101)⋣⋖((≮⫘↔11101001111⋐⇩⊬)↙(⊈≮⫘↔11010100011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8098,"operation_count":11,"complexity_ratio":736.1818181818181,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3038,"base":2},"right_expr":{"type":"numeric_atoms","value":6929,"base":2}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2670,"base":2},"right_expr":{"type":"numeric_atoms","value":1034,"base":2}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2247,"base":2},"right_expr":{"type":"numeric_atoms","value":3629,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1871,"base":2}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1699,"base":2}}}}},"used_operators":["212REbPD9h","D4vGDi5EA2","SxTAKzQCrw","1eCjFl0mb9","LXhwmt4mBO","J0M6qkBnIM","eLAdDNolq6","RygbFNSyEJ","yyfyN0ffXY","JuuLT1NoCs","RHru8klgy8"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","tmPS8pqC7x","DpFCA1CohY","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","12rbrZMWeM","xUOZtlo3hN"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3038","layer":4},{"info":"number node, value=6929","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=6929, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3038","layer":3},{"info":"number node, value=2670","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=1034, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=3038, right_input=-527, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=49340","layer":2},{"info":"compute unary expreesion, input=49340, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-148020","layer":1},{"info":"number node, value=2247","layer":4},{"info":"number node, value=3629","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=3629, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-11071","layer":3},{"info":"compute unary expreesion, input=-11071, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=11555","layer":2},{"info":"number node, value=1871","layer":4},{"info":"compute unary expreesion, input=1871, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1871","layer":3},{"info":"number node, value=1699","layer":4},{"info":"compute unary expreesion, input=1699, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1873","layer":3},{"info":"compute binary expreesion, left_input=1871, right_input=-1873, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5619","layer":2},{"info":"compute binary expreesion, left_input=11555, right_input=-5619, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=11555","layer":1},{"info":"compute binary expreesion, left_input=-148020, right_input=11555, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101111011110↸≮⫘↔1101100010001)∙⊟≮⫘↔101001101110⨫⇇↔≮⫘↔10000001010)≦≮≮)⋾⨃∁(≤/≮⫘↔100011000111≦↸≮⫘↔111000101101)⋣⋖((≮⫘↔11101001111⋐⇩⊬)↙(⊈≮⫘↔11010100011))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(((≮⫘↔101111011110↸≮⫘↔1101100010001)∙⊟≮⫘↔101001101110⨫⇇↔≮⫘↔10000001010)≦≮≮)⋾⨃∁(≤/≮⫘↔100011000111≦↸≮⫘↔111000101101)⋣⋖((≮⫘↔11101001111⋐⇩⊬)↙(⊈≮⫘↔11010100011))","cot":[{"info":"≮⫘↔101111011110↸≮⫘↔1101100010001=≮⫘↔101111011110","layer":3},{"info":"≮⫘↔101001101110⨫⇇↔≮⫘↔10000001010=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔101111011110∙⊟≮⫘↔-1000001111=≮⫘↔1100000010111100","layer":2},{"info":"≮⫘↔1100000010111100≦≮≮=≮⫘↔-100100001000110100","layer":1},{"info":"≮⫘↔100011000111≦↸≮⫘↔111000101101=≮⫘↔-10101100111111","layer":3},{"info":"≤/≮⫘↔-10101100111111=≮⫘↔10110100100011","layer":2},{"info":"≮⫘↔11101001111⋐⇩⊬=≮⫘↔11101001111","layer":3},{"info":"⊈≮⫘↔11010100011=≮⫘↔-11101010001","layer":3},{"info":"≮⫘↔11101001111↙≮⫘↔-11101010001=≮⫘↔-1010111110011","layer":2},{"info":"≮⫘↔10110100100011⋣⋖≮⫘↔-1010111110011=≮⫘↔10110100100011","layer":1},{"info":"≮⫘↔-100100001000110100⋾⨃∁≮⫘↔10110100100011=≮⫘↔10100000","layer":0}]}
{"id":309,"expression_no_base_symbol":"((($1075$↙$2729$)⇷$2219$⫘$1108$)⫚⫇)⪕((⋗⩴⪓$2441$)⪛($1009$↡⊰⫅$3135$)∕⩚$3314$⨚⇆$2313$⪒$2629$⪎↠$4348$)","expression":"(((≮⫘↔10000110011↙≮⫘↔101010101001)⇷≮⫘↔100010101011⫘≮⫘↔10001010100)⫚⫇)⪕((⋗⩴⪓≮⫘↔100110001001)⪛(≮⫘↔1111110001↡⊰⫅≮⫘↔110000111111)∕⩚≮⫘↔110011110010⨚⇆≮⫘↔100100001001⪒≮⫘↔101001000101⪎↠≮⫘↔1000011111100)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":189462,"operation_count":12,"complexity_ratio":15788.5,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":2729,"base":2}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2219,"base":2},"right_expr":{"type":"numeric_atoms","value":1108,"base":2}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2441,"base":2}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1009,"base":2},"right_expr":{"type":"numeric_atoms","value":3135,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3314,"base":2},"right_expr":{"type":"numeric_atoms","value":2313,"base":2}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2629,"base":2},"right_expr":{"type":"numeric_atoms","value":4348,"base":2}}}}},"used_operators":["umQnsF7QlU","SdCjLnB6rR","mp7IySMOzn","yyfyN0ffXY","48vC8HMD2b","z9ffQ9n5Zr","uFcxV4UQCh","nOKPl9n5zu","VCtxkLNOzz","f6k1SAg4EE","lwHaAYXP2r","3tVxb0NHM4"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"≮⫘↔1110100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=2729, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8187","layer":3},{"info":"number node, value=2219","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=1108, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2613949","layer":3},{"info":"compute binary expreesion, left_input=-8187, right_input=2613949, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5227898","layer":2},{"info":"compute unary expreesion, input=5227898, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=10454328","layer":1},{"info":"number node, value=2441","layer":4},{"info":"compute unary expreesion, input=2441, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1528","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=3135","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3135, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6270","layer":3},{"info":"compute binary expreesion, left_input=-1528, right_input=6270, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4742","layer":2},{"info":"number node, value=3314","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=2313, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=2629","layer":4},{"info":"number node, value=4348","layer":4},{"info":"compute binary expreesion, left_input=2629, right_input=4348, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4742, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=10454328, right_input=-487, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10000110011↙≮⫘↔101010101001)⇷≮⫘↔100010101011⫘≮⫘↔10001010100)⫚⫇)⪕((⋗⩴⪓≮⫘↔100110001001)⪛(≮⫘↔1111110001↡⊰⫅≮⫘↔110000111111)∕⩚≮⫘↔110011110010⨚⇆≮⫘↔100100001001⪒≮⫘↔101001000101⪎↠≮⫘↔1000011111100)=≮⫘↔1110100111","reverse_text":"≮⫘↔1110100111=(((≮⫘↔10000110011↙≮⫘↔101010101001)⇷≮⫘↔100010101011⫘≮⫘↔10001010100)⫚⫇)⪕((⋗⩴⪓≮⫘↔100110001001)⪛(≮⫘↔1111110001↡⊰⫅≮⫘↔110000111111)∕⩚≮⫘↔110011110010⨚⇆≮⫘↔100100001001⪒≮⫘↔101001000101⪎↠≮⫘↔1000011111100)","cot":[{"info":"≮⫘↔10000110011↙≮⫘↔101010101001=≮⫘↔-1111111111011","layer":3},{"info":"≮⫘↔100010101011⫘≮⫘↔10001010100=≮⫘↔1001111110001010111101","layer":3},{"info":"≮⫘↔-1111111111011⇷≮⫘↔1001111110001010111101=≮⫘↔10011111100010101111010","layer":2},{"info":"≮⫘↔10011111100010101111010⫚⫇=≮⫘↔100111111000010100111000","layer":1},{"info":"⋗⩴⪓≮⫘↔100110001001=≮⫘↔-10111111000","layer":3},{"info":"≮⫘↔1111110001↡⊰⫅≮⫘↔110000111111=≮⫘↔1100001111110","layer":3},{"info":"≮⫘↔-10111111000⪛≮⫘↔1100001111110=≮⫘↔1001010000110","layer":2},{"info":"≮⫘↔110011110010⨚⇆≮⫘↔100100001001=NaN","layer":3},{"info":"≮⫘↔101001000101⪎↠≮⫘↔1000011111100=≮⫘↔10100000","layer":3},{"info":"NaN⪒≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔1001010000110∕⩚NaN=≮⫘↔-111100111","layer":1},{"info":"≮⫘↔100111111000010100111000⪕≮⫘↔-111100111=≮⫘↔1110100111","layer":0}]}
{"id":310,"expression_no_base_symbol":"(⩦⩻⨪($4348$⪘⫢$6415$)∌($2171$≚⊃≕$6126$))↳∿⪆($8494$∓⋝$1629$∇⊂⋱($2546$+$6251$)⨔≚≋$1365$⇂≾⫗$4539$⊝⪿⪼($4035$⋅⇍$3124$))","expression":"(⩦⩻⨪(≮⫘↔1000011111100⪘⫢≮⫘↔1100100001111)∌(≮⫘↔100001111011≚⊃≕≮⫘↔1011111101110))↳∿⪆(≮⫘↔10000100101110∓⋝≮⫘↔11001011101∇⊂⋱(≮⫘↔100111110010+≮⫘↔1100001101011)⨔≚≋≮⫘↔10101010101⇂≾⫗≮⫘↔1000110111011⊝⪿⪼(≮⫘↔111111000011⋅⇍≮⫘↔110000110100))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8064,"operation_count":12,"complexity_ratio":672.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4348,"base":2},"right_expr":{"type":"numeric_atoms","value":6415,"base":2}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2171,"base":2},"right_expr":{"type":"numeric_atoms","value":6126,"base":2}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":8494,"base":2},"right_expr":{"type":"numeric_atoms","value":1629,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2546,"base":2},"right_expr":{"type":"numeric_atoms","value":6251,"base":2}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1365,"base":2},"right_expr":{"type":"numeric_atoms","value":4539,"base":2}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4035,"base":2},"right_expr":{"type":"numeric_atoms","value":3124,"base":2}}}}},"used_operators":["Cw4SuJJGHO","2td37pGCOC","8cLx32lpNA","oacrs7FA3X","Bmrmz2XGnR","Z57zeUYC9z","nhYeJWJD5X","PoHhknlbAi","W4YGzv6Whe","3Oe9XWJUTD","aBQ6xLxuTc","AdZkA7nFnk"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4348","layer":4},{"info":"number node, value=6415","layer":4},{"info":"compute binary expreesion, left_input=4348, right_input=6415, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8572","layer":3},{"info":"number node, value=2171","layer":4},{"info":"number node, value=6126","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=6126, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-17532","layer":3},{"info":"compute binary expreesion, left_input=8572, right_input=-17532, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=17532","layer":2},{"info":"compute unary expreesion, input=17532, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=17532","layer":1},{"info":"number node, value=8494","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=8494, right_input=1629, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2546","layer":4},{"info":"number node, value=6251","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=6251, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8797","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=8797, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-17594","layer":2},{"info":"number node, value=1365","layer":4},{"info":"number node, value=4539","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=4539, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=4035","layer":4},{"info":"number node, value=3124","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=3124, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-22, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-208","layer":2},{"info":"compute binary expreesion, left_input=-17594, right_input=-208, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=280408","layer":1},{"info":"compute binary expreesion, left_input=17532, right_input=280408, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩦⩻⨪(≮⫘↔1000011111100⪘⫢≮⫘↔1100100001111)∌(≮⫘↔100001111011≚⊃≕≮⫘↔1011111101110))↳∿⪆(≮⫘↔10000100101110∓⋝≮⫘↔11001011101∇⊂⋱(≮⫘↔100111110010+≮⫘↔1100001101011)⨔≚≋≮⫘↔10101010101⇂≾⫗≮⫘↔1000110111011⊝⪿⪼(≮⫘↔111111000011⋅⇍≮⫘↔110000110100))=NaN","reverse_text":"NaN=(⩦⩻⨪(≮⫘↔1000011111100⪘⫢≮⫘↔1100100001111)∌(≮⫘↔100001111011≚⊃≕≮⫘↔1011111101110))↳∿⪆(≮⫘↔10000100101110∓⋝≮⫘↔11001011101∇⊂⋱(≮⫘↔100111110010+≮⫘↔1100001101011)⨔≚≋≮⫘↔10101010101⇂≾⫗≮⫘↔1000110111011⊝⪿⪼(≮⫘↔111111000011⋅⇍≮⫘↔110000110100))","cot":[{"info":"≮⫘↔1000011111100⪘⫢≮⫘↔1100100001111=≮⫘↔10000101111100","layer":3},{"info":"≮⫘↔100001111011≚⊃≕≮⫘↔1011111101110=≮⫘↔-100010001111100","layer":3},{"info":"≮⫘↔10000101111100∌≮⫘↔-100010001111100=≮⫘↔100010001111100","layer":2},{"info":"⩦⩻⨪≮⫘↔100010001111100=≮⫘↔100010001111100","layer":1},{"info":"≮⫘↔10000100101110∓⋝≮⫘↔11001011101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔100111110010+≮⫘↔1100001101011=≮⫘↔10001001011101","layer":3},{"info":"≮⫘↔1000011∇⊂⋱≮⫘↔10001001011101=≮⫘↔-100010010111010","layer":2},{"info":"≮⫘↔10101010101⇂≾⫗≮⫘↔1000110111011=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔111111000011⋅⇍≮⫘↔110000110100=≮⫘↔-10110","layer":3},{"info":"≮⫘↔-1010100100⊝⪿⪼≮⫘↔-10110=≮⫘↔-11010000","layer":2},{"info":"≮⫘↔-100010010111010⨔≚≋≮⫘↔-11010000=≮⫘↔1000100011101011000","layer":1},{"info":"≮⫘↔100010001111100↳∿⪆≮⫘↔1000100011101011000=NaN","layer":0}]}
{"id":311,"expression_no_base_symbol":"(↨⩢⫨($5666$⨔⇊$1589$⨔≚≋(⇘$3639$)))⫒⫫((($1635$≚⋢)⪒$1002$∛$8669$)∙∹∝(($1726$⫥∨⫟$2487$)⫠))","expression":"(↨⩢⫨(≮⫘↔1011000100010⨔⇊≮⫘↔11000110101⨔≚≋(⇘≮⫘↔111000110111)))⫒⫫(((≮⫘↔11001100011≚⋢)⪒≮⫘↔1111101010∛≮⫘↔10000111011101)∙∹∝((≮⫘↔11010111110⫥∨⫟≮⫘↔100110110111)⫠))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7834,"operation_count":11,"complexity_ratio":712.1818181818181,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5666,"base":2},"right_expr":{"type":"numeric_atoms","value":1589,"base":2}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3639,"base":2}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1635,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1002,"base":2},"right_expr":{"type":"numeric_atoms","value":8669,"base":2}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1726,"base":2},"right_expr":{"type":"numeric_atoms","value":2487,"base":2}}}}},"used_operators":["6Ko8hGgeMq","Z5CJsN7DuW","Z57zeUYC9z","JclMnS0uGI","MGuIdZPyUC","HmxsFra2vL","f6k1SAg4EE","MahUMFw56D","w2537kitQq","6SnOT2rOjz","KYD54nUTWz"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≮⫘↔1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5666","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=5666, right_input=1589, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1589","layer":3},{"info":"number node, value=3639","layer":4},{"info":"compute unary expreesion, input=3639, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=212722","layer":3},{"info":"compute binary expreesion, left_input=1589, right_input=212722, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute unary expreesion, input=9872, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1635","layer":4},{"info":"compute unary expreesion, input=1635, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=8669","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=8669, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=-670, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=759","layer":2},{"info":"number node, value=1726","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=2487, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=759, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":0}],"base":2,"result_base":2,"text":"(↨⩢⫨(≮⫘↔1011000100010⨔⇊≮⫘↔11000110101⨔≚≋(⇘≮⫘↔111000110111)))⫒⫫(((≮⫘↔11001100011≚⋢)⪒≮⫘↔1111101010∛≮⫘↔10000111011101)∙∹∝((≮⫘↔11010111110⫥∨⫟≮⫘↔100110110111)⫠))=≮⫘↔1110001","reverse_text":"≮⫘↔1110001=(↨⩢⫨(≮⫘↔1011000100010⨔⇊≮⫘↔11000110101⨔≚≋(⇘≮⫘↔111000110111)))⫒⫫(((≮⫘↔11001100011≚⋢)⪒≮⫘↔1111101010∛≮⫘↔10000111011101)∙∹∝((≮⫘↔11010111110⫥∨⫟≮⫘↔100110110111)⫠))","cot":[{"info":"≮⫘↔1011000100010⨔⇊≮⫘↔11000110101=≮⫘↔11000110101","layer":3},{"info":"⇘≮⫘↔111000110111=≮⫘↔110011111011110010","layer":3},{"info":"≮⫘↔11000110101⨔≚≋≮⫘↔110011111011110010=≮⫘↔10011010010000","layer":2},{"info":"↨⩢⫨≮⫘↔10011010010000=≮⫘↔0","layer":1},{"info":"≮⫘↔11001100011≚⋢=≮⫘↔-1011001","layer":3},{"info":"≮⫘↔1111101010∛≮⫘↔10000111011101=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔-1011001⪒≮⫘↔-1010011110=≮⫘↔1011110111","layer":2},{"info":"≮⫘↔11010111110⫥∨⫟≮⫘↔100110110111=NaN","layer":3},{"info":"NaN⫠=≮⫘↔0","layer":2},{"info":"≮⫘↔1011110111∙∹∝≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔0⫒⫫≮⫘↔0=≮⫘↔1110001","layer":0}]}
{"id":312,"expression_no_base_symbol":"(⨝⨆$1298$≁↽≥$5493$⋥⋵⩄($5187$⨻⩈⩔$2886$))↺$6557$∺≝⩲$4213$↓($1910$∝$2071$)≒∊(⨛($2295$⨁⊸⫻))","expression":"(⨝⨆≮⫘↔10100010010≁↽≥≮⫘↔1010101110101⋥⋵⩄(≮⫘↔1010001000011⨻⩈⩔≮⫘↔101101000110))↺≮⫘↔1100110011101∺≝⩲≮⫘↔1000001110101↓(≮⫘↔11101110110∝≮⫘↔100000010111)≒∊(⨛(≮⫘↔100011110111⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27341,"operation_count":11,"complexity_ratio":2485.5454545454545,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1298,"base":2},"right_expr":{"type":"numeric_atoms","value":5493,"base":2}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5187,"base":2},"right_expr":{"type":"numeric_atoms","value":2886,"base":2}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6557,"base":2},"right_expr":{"type":"numeric_atoms","value":4213,"base":2}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1910,"base":2},"right_expr":{"type":"numeric_atoms","value":2071,"base":2}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2295,"base":2}}}}},"used_operators":["7j4O788W3g","bQ67fsrMVf","7t3wd0Fuz7","ncHt1X6cMc","nEsXyWgiOK","5KTvxBwnZo","Af076pWI7l","KPf6cnQVty","cTDWOvIxvz","CoMdbyAt7R","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","oWn0xqSxBt","3Oe9XWJUTD","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","7j4O788W3g","W4YGzv6Whe","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1298","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=5493, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=29402","layer":3},{"info":"number node, value=5187","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=5187, right_input=2886, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=33095","layer":3},{"info":"compute binary expreesion, left_input=29402, right_input=33095, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-96","layer":1},{"info":"number node, value=6557","layer":4},{"info":"number node, value=4213","layer":4},{"info":"compute binary expreesion, left_input=6557, right_input=4213, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1910","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=2071, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1915","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1915, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=2295","layer":4},{"info":"compute unary expreesion, input=2295, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2295","layer":3},{"info":"compute unary expreesion, input=2295, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-96, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨝⨆≮⫘↔10100010010≁↽≥≮⫘↔1010101110101⋥⋵⩄(≮⫘↔1010001000011⨻⩈⩔≮⫘↔101101000110))↺≮⫘↔1100110011101∺≝⩲≮⫘↔1000001110101↓(≮⫘↔11101110110∝≮⫘↔100000010111)≒∊(⨛(≮⫘↔100011110111⨁⊸⫻))=NaN","reverse_text":"NaN=(⨝⨆≮⫘↔10100010010≁↽≥≮⫘↔1010101110101⋥⋵⩄(≮⫘↔1010001000011⨻⩈⩔≮⫘↔101101000110))↺≮⫘↔1100110011101∺≝⩲≮⫘↔1000001110101↓(≮⫘↔11101110110∝≮⫘↔100000010111)≒∊(⨛(≮⫘↔100011110111⨁⊸⫻))","cot":[{"info":"≮⫘↔10100010010≁↽≥≮⫘↔1010101110101=≮⫘↔111001011011010","layer":3},{"info":"≮⫘↔1010001000011⨻⩈⩔≮⫘↔101101000110=≮⫘↔1000000101000111","layer":3},{"info":"≮⫘↔111001011011010⋥⋵⩄≮⫘↔1000000101000111=≮⫘↔1110001","layer":2},{"info":"⨝⨆≮⫘↔1110001=≮⫘↔-1100000","layer":1},{"info":"≮⫘↔1100110011101∺≝⩲≮⫘↔1000001110101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11101110110∝≮⫘↔100000010111=≮⫘↔11101111011","layer":3},{"info":"≮⫘↔10100000↓≮⫘↔11101111011=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔100011110111⨁⊸⫻=≮⫘↔100011110111","layer":3},{"info":"⨛≮⫘↔100011110111=NaN","layer":2},{"info":"≮⫘↔-10000110≒∊NaN=NaN","layer":1},{"info":"≮⫘↔-1100000↺NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"(($1943$⪭≯$2081$)⪮%⊝$3034$⪒⊣⊆$1117$⫰⋱$2973$⩼⇪↪$5606$⇴∐(⩷⨜⫀$4726$))≑≱⪘","expression":"((≮⫘↔11110010111⪭≯≮⫘↔100000100001)⪮%⊝≮⫘↔101111011010⪒⊣⊆≮⫘↔10001011101⫰⋱≮⫘↔101110011101⩼⇪↪≮⫘↔1010111100110⇴∐(⩷⨜⫀≮⫘↔1001001110110))≑≱⪘","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":272,"operation_count":8,"complexity_ratio":34.0,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1943,"base":2},"right_expr":{"type":"numeric_atoms","value":2081,"base":2}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3034,"base":2},"right_expr":{"type":"numeric_atoms","value":1117,"base":2}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2973,"base":2},"right_expr":{"type":"numeric_atoms","value":5606,"base":2}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":4726,"base":2}}}}},"used_operators":["tGSeddj7UK","6o9Blt3TJ6","IWmyXbctLI","XAx5wpdLa6","eRqsBgTDFp","HnzytWxmAO","ocnLzx9CaJ","CDi0ktkjQ4"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","W4YGzv6Whe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1943","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=2081, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3034","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=1117, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6068","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6068, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=2973","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=5606, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-34079","layer":3},{"info":"number node, value=4726","layer":4},{"info":"compute unary expreesion, input=4726, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-4453","layer":3},{"info":"compute binary expreesion, left_input=-34079, right_input=-4453, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11110010111⪭≯≮⫘↔100000100001)⪮%⊝≮⫘↔101111011010⪒⊣⊆≮⫘↔10001011101⫰⋱≮⫘↔101110011101⩼⇪↪≮⫘↔1010111100110⇴∐(⩷⨜⫀≮⫘↔1001001110110))≑≱⪘=NaN","reverse_text":"NaN=((≮⫘↔11110010111⪭≯≮⫘↔100000100001)⪮%⊝≮⫘↔101111011010⪒⊣⊆≮⫘↔10001011101⫰⋱≮⫘↔101110011101⩼⇪↪≮⫘↔1010111100110⇴∐(⩷⨜⫀≮⫘↔1001001110110))≑≱⪘","cot":[{"info":"≮⫘↔11110010111⪭≯≮⫘↔100000100001=NaN","layer":3},{"info":"≮⫘↔101111011010⪒⊣⊆≮⫘↔10001011101=≮⫘↔1011110110100","layer":3},{"info":"NaN⪮%⊝≮⫘↔1011110110100=NaN","layer":2},{"info":"≮⫘↔101110011101⩼⇪↪≮⫘↔1010111100110=≮⫘↔-1000010100011111","layer":3},{"info":"⩷⨜⫀≮⫘↔1001001110110=≮⫘↔-1000101100101","layer":3},{"info":"≮⫘↔-1000010100011111⇴∐≮⫘↔-1000101100101=≮⫘↔-1110100","layer":2},{"info":"NaN⫰⋱≮⫘↔-1110100=NaN","layer":1},{"info":"NaN≑≱⪘=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"($3413$⪔⊥$2197$)≁(⩦⊞$5665$)∇⊂⋱(($2211$⩼⇪↪$5598$)⨘)⨐⩸⫘(⇖(⪓⩚(⫇$3076$)))","expression":"(≮⫘↔110101010101⪔⊥≮⫘↔100010010101)≁(⩦⊞≮⫘↔1011000100001)∇⊂⋱((≮⫘↔100010100011⩼⇪↪≮⫘↔1010111011110)⨘)⨐⩸⫘(⇖(⪓⩚(⫇≮⫘↔110000000100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":65640,"operation_count":10,"complexity_ratio":6564.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3413,"base":2},"right_expr":{"type":"numeric_atoms","value":2197,"base":2}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":5665,"base":2}}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2211,"base":2},"right_expr":{"type":"numeric_atoms","value":5598,"base":2}}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":3076,"base":2}}}}},"used_operators":["fu6greOZ01","nhYeJWJD5X","8N2wDY1A35","HJ9erzHUuu","u7fv1HBiaC","ljcfZBUpm8","ocnLzx9CaJ","tfWHHpNKUN","u0R0Locfp2","YjI8oCXuph"],"dependent_operators":["3ViojmjbAp","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2DQ55sFlQl","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"≮⫘↔-10100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3413","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=2197, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9059","layer":3},{"info":"number node, value=5665","layer":4},{"info":"compute unary expreesion, input=5665, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5392","layer":3},{"info":"compute binary expreesion, left_input=9059, right_input=-5392, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-161465","layer":2},{"info":"number node, value=2211","layer":4},{"info":"number node, value=5598","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=5598, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-35547","layer":3},{"info":"compute unary expreesion, input=-35547, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-249604","layer":2},{"info":"compute binary expreesion, left_input=-161465, right_input=-249604, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=499208","layer":1},{"info":"number node, value=3076","layer":4},{"info":"compute unary expreesion, input=3076, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4938","layer":3},{"info":"compute unary expreesion, input=-4938, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute unary expreesion, input=426, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=499208, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110101010101⪔⊥≮⫘↔100010010101)≁(⩦⊞≮⫘↔1011000100001)∇⊂⋱((≮⫘↔100010100011⩼⇪↪≮⫘↔1010111011110)⨘)⨐⩸⫘(⇖(⪓⩚(⫇≮⫘↔110000000100)))=≮⫘↔-10100011","reverse_text":"≮⫘↔-10100011=(≮⫘↔110101010101⪔⊥≮⫘↔100010010101)≁(⩦⊞≮⫘↔1011000100001)∇⊂⋱((≮⫘↔100010100011⩼⇪↪≮⫘↔1010111011110)⨘)⨐⩸⫘(⇖(⪓⩚(⫇≮⫘↔110000000100)))","cot":[{"info":"≮⫘↔110101010101⪔⊥≮⫘↔100010010101=≮⫘↔10001101100011","layer":3},{"info":"⩦⊞≮⫘↔1011000100001=≮⫘↔-1010100010000","layer":3},{"info":"≮⫘↔10001101100011≁≮⫘↔-1010100010000=≮⫘↔-100111011010111001","layer":2},{"info":"≮⫘↔100010100011⩼⇪↪≮⫘↔1010111011110=≮⫘↔-1000101011011011","layer":3},{"info":"≮⫘↔-1000101011011011⨘=≮⫘↔-111100111100000100","layer":2},{"info":"≮⫘↔-100111011010111001∇⊂⋱≮⫘↔-111100111100000100=≮⫘↔1111001111000001000","layer":1},{"info":"⫇≮⫘↔110000000100=≮⫘↔-1001101001010","layer":3},{"info":"⪓⩚≮⫘↔-1001101001010=≮⫘↔110101010","layer":2},{"info":"⇖≮⫘↔110101010=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1111001111000001000⨐⩸⫘≮⫘↔10100000=≮⫘↔-10100011","layer":0}]}
{"id":315,"expression_no_base_symbol":"((∡$1399$)⨹)⋥⋵⩄(($1986$⫚↹⊑$1892$)⇆⨓≜)≄⊠((+⊝⨔$6021$⫣⪄⊒$1517$)⨽$2132$∛$4034$⨎$1319$∣$5380$)","expression":"((∡≮⫘↔10101110111)⨹)⋥⋵⩄((≮⫘↔11111000010⫚↹⊑≮⫘↔11101100100)⇆⨓≜)≄⊠((+⊝⨔≮⫘↔1011110000101⫣⪄⊒≮⫘↔10111101101)⨽≮⫘↔100001010100∛≮⫘↔111111000010⨎≮⫘↔10100100111∣≮⫘↔1010100000100)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5183,"operation_count":12,"complexity_ratio":431.9166666666667,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1399,"base":2}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1986,"base":2},"right_expr":{"type":"numeric_atoms","value":1892,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6021,"base":2},"right_expr":{"type":"numeric_atoms","value":1517,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2132,"base":2},"right_expr":{"type":"numeric_atoms","value":4034,"base":2}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1319,"base":2},"right_expr":{"type":"numeric_atoms","value":5380,"base":2}}}}},"used_operators":["vXNesLlMH1","7t3wd0Fuz7","UnCoSGIALn","pRsWfj4Fpp","KvvgdUaMHJ","dfKe02y8D2","8HhzD0ZcuI","DhbWaqg5eL","RabNbG55vr","rJVOvQCfKK","w2537kitQq","PPChnnnBFF"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","mp7IySMOzn","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","Uaa54Peajs","KYD54nUTWz","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔10111011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1399","layer":3},{"info":"compute unary expreesion, input=-1399, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":2},{"info":"number node, value=1986","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=1892, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"number node, value=6021","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=6021, right_input=1517, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7502","layer":3},{"info":"compute unary expreesion, input=-7502, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=2132","layer":4},{"info":"number node, value=4034","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=4034, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=5380","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=5380, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1319","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=1319, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1319","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=1319, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6952095","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6952095, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":2,"result_base":2,"text":"((∡≮⫘↔10101110111)⨹)⋥⋵⩄((≮⫘↔11111000010⫚↹⊑≮⫘↔11101100100)⇆⨓≜)≄⊠((+⊝⨔≮⫘↔1011110000101⫣⪄⊒≮⫘↔10111101101)⨽≮⫘↔100001010100∛≮⫘↔111111000010⨎≮⫘↔10100100111∣≮⫘↔1010100000100)=≮⫘↔10111011100","reverse_text":"≮⫘↔10111011100=((∡≮⫘↔10101110111)⨹)⋥⋵⩄((≮⫘↔11111000010⫚↹⊑≮⫘↔11101100100)⇆⨓≜)≄⊠((+⊝⨔≮⫘↔1011110000101⫣⪄⊒≮⫘↔10111101101)⨽≮⫘↔100001010100∛≮⫘↔111111000010⨎≮⫘↔10100100111∣≮⫘↔1010100000100)","cot":[{"info":"∡≮⫘↔10101110111=≮⫘↔-10101110111","layer":3},{"info":"≮⫘↔-10101110111⨹=NaN","layer":2},{"info":"≮⫘↔11111000010⫚↹⊑≮⫘↔11101100100=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-110111111⇆⨓≜=NaN","layer":2},{"info":"NaN⋥⋵⩄NaN=NaN","layer":1},{"info":"≮⫘↔1011110000101⫣⪄⊒≮⫘↔10111101101=≮⫘↔-1110101001110","layer":3},{"info":"+⊝⨔≮⫘↔-1110101001110=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔100001010100∛≮⫘↔111111000010=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔10100100111∣≮⫘↔1010100000100=≮⫘↔10100100111","layer":3},{"info":"≮⫘↔-1010011110⨎≮⫘↔10100100111=≮⫘↔10100100111","layer":2},{"info":"≮⫘↔10111110010⨽≮⫘↔10100100111=≮⫘↔-11010100001010010011111","layer":1},{"info":"NaN≄⊠≮⫘↔-11010100001010010011111=≮⫘↔10111011100","layer":0}]}
{"id":316,"expression_no_base_symbol":"(($1527$⇉⇱⇎)⫢⨠($7012$⊍⩺⋍$6649$))⪬(($1374$⨔⇊$2319$)⋕⪉⪜($1011$⫔⩽⩺$7144$))⩭","expression":"((≮⫘↔10111110111⇉⇱⇎)⫢⨠(≮⫘↔1101101100100⊍⩺⋍≮⫘↔1100111111001))⪬((≮⫘↔10101011110⨔⇊≮⫘↔100100001111)⋕⪉⪜(≮⫘↔1111110011⫔⩽⩺≮⫘↔1101111101000))⩭","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31025,"operation_count":8,"complexity_ratio":3878.125,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1527,"base":2}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":7012,"base":2},"right_expr":{"type":"numeric_atoms","value":6649,"base":2}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1374,"base":2},"right_expr":{"type":"numeric_atoms","value":2319,"base":2}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1011,"base":2},"right_expr":{"type":"numeric_atoms","value":7144,"base":2}}}}},"used_operators":["yIPP7u6H5x","Ez1Nq5fNfI","xlXykHWxX1","MRPaB8lBjK","OXDGMFPWZM","z6LnFrNh4i","JclMnS0uGI","i9eR4S00cU"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1527","layer":4},{"info":"compute unary expreesion, input=1527, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1309","layer":3},{"info":"number node, value=7012","layer":4},{"info":"number node, value=6649","layer":4},{"info":"compute binary expreesion, left_input=7012, right_input=6649, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1309, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=1374","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=2319, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2319","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=7144","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=7144, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2319, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111110111⇉⇱⇎)⫢⨠(≮⫘↔1101101100100⊍⩺⋍≮⫘↔1100111111001))⪬((≮⫘↔10101011110⨔⇊≮⫘↔100100001111)⋕⪉⪜(≮⫘↔1111110011⫔⩽⩺≮⫘↔1101111101000))⩭=NaN","reverse_text":"NaN=((≮⫘↔10111110111⇉⇱⇎)⫢⨠(≮⫘↔1101101100100⊍⩺⋍≮⫘↔1100111111001))⪬((≮⫘↔10101011110⨔⇊≮⫘↔100100001111)⋕⪉⪜(≮⫘↔1111110011⫔⩽⩺≮⫘↔1101111101000))⩭","cot":[{"info":"≮⫘↔10111110111⇉⇱⇎=≮⫘↔-10100011101","layer":3},{"info":"≮⫘↔1101101100100⊍⩺⋍≮⫘↔1100111111001=NaN","layer":3},{"info":"≮⫘↔-10100011101⫢⨠NaN=NaN","layer":2},{"info":"≮⫘↔10101011110⨔⇊≮⫘↔100100001111=≮⫘↔100100001111","layer":3},{"info":"≮⫘↔1111110011⫔⩽⩺≮⫘↔1101111101000=NaN","layer":3},{"info":"≮⫘↔100100001111⋕⪉⪜NaN=≮⫘↔11001100","layer":2},{"info":"NaN⪬≮⫘↔11001100=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔10011010010⩭=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"($1835$⩘$2561$⩇∃⫛(⋎⨆$1429$)⫸⇳($8825$⪉⨛$1246$)⊕∕(≘$1138$))⪚(⨣⨃⇪($3943$⩼⇪↪$9143$))⩼⇪↪(($3287$⊾⪯⋞$4338$)⪭≯($6218$⋹))","expression":"(≮⫘↔11100101011⩘≮⫘↔101000000001⩇∃⫛(⋎⨆≮⫘↔10110010101)⫸⇳(≮⫘↔10001001111001⪉⨛≮⫘↔10011011110)⊕∕(≘≮⫘↔10001110010))⪚(⨣⨃⇪(≮⫘↔111101100111⩼⇪↪≮⫘↔10001110110111))⩼⇪↪((≮⫘↔110011010111⊾⪯⋞≮⫘↔1000011110010)⪭≯(≮⫘↔1100001001010⋹))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":738,"operation_count":14,"complexity_ratio":52.714285714285715,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1835,"base":2},"right_expr":{"type":"numeric_atoms","value":2561,"base":2}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1429,"base":2}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":8825,"base":2},"right_expr":{"type":"numeric_atoms","value":1246,"base":2}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1138,"base":2}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3943,"base":2},"right_expr":{"type":"numeric_atoms","value":9143,"base":2}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3287,"base":2},"right_expr":{"type":"numeric_atoms","value":4338,"base":2}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":6218,"base":2}}}}},"used_operators":["HrjLwUk87U","gx7XJ7hdpj","1aApVXNlOP","cHh1gJQ2o6","E64sFOc4tB","9cloC0Ngie","EWw2JM7wp4","tcjXMdvYtA","ocnLzx9CaJ","AcOhelriW5","XAx5wpdLa6","HK0tfVPux8","opAxDRczMr"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1835","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=2561, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=313","layer":2},{"info":"number node, value=8825","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=8825, right_input=1246, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=25444","layer":3},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2510074","layer":3},{"info":"compute binary expreesion, left_input=25444, right_input=2510074, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=25444","layer":2},{"info":"compute binary expreesion, left_input=313, right_input=25444, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"number node, value=3943","layer":4},{"info":"number node, value=9143","layer":4},{"info":"compute binary expreesion, left_input=3943, right_input=9143, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-56898","layer":3},{"info":"compute unary expreesion, input=-56898, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=3287","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=3287, right_input=4338, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=8250","layer":3},{"info":"number node, value=6218","layer":4},{"info":"compute unary expreesion, input=6218, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=8250, right_input=-20, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11100101011⩘≮⫘↔101000000001⩇∃⫛(⋎⨆≮⫘↔10110010101)⫸⇳(≮⫘↔10001001111001⪉⨛≮⫘↔10011011110)⊕∕(≘≮⫘↔10001110010))⪚(⨣⨃⇪(≮⫘↔111101100111⩼⇪↪≮⫘↔10001110110111))⩼⇪↪((≮⫘↔110011010111⊾⪯⋞≮⫘↔1000011110010)⪭≯(≮⫘↔1100001001010⋹))=NaN","reverse_text":"NaN=(≮⫘↔11100101011⩘≮⫘↔101000000001⩇∃⫛(⋎⨆≮⫘↔10110010101)⫸⇳(≮⫘↔10001001111001⪉⨛≮⫘↔10011011110)⊕∕(≘≮⫘↔10001110010))⪚(⨣⨃⇪(≮⫘↔111101100111⩼⇪↪≮⫘↔10001110110111))⩼⇪↪((≮⫘↔110011010111⊾⪯⋞≮⫘↔1000011110010)⪭≯(≮⫘↔1100001001010⋹))","cot":[{"info":"≮⫘↔11100101011⩘≮⫘↔101000000001=≮⫘↔10100000","layer":3},{"info":"⋎⨆≮⫘↔10110010101=≮⫘↔0","layer":3},{"info":"≮⫘↔10100000⩇∃⫛≮⫘↔0=≮⫘↔100111001","layer":2},{"info":"≮⫘↔10001001111001⪉⨛≮⫘↔10011011110=≮⫘↔110001101100100","layer":3},{"info":"≘≮⫘↔10001110010=≮⫘↔1001100100110011111010","layer":3},{"info":"≮⫘↔110001101100100⊕∕≮⫘↔1001100100110011111010=≮⫘↔110001101100100","layer":2},{"info":"≮⫘↔100111001⫸⇳≮⫘↔110001101100100=≮⫘↔0","layer":1},{"info":"≮⫘↔111101100111⩼⇪↪≮⫘↔10001110110111=≮⫘↔-1101111001000010","layer":3},{"info":"⨣⨃⇪≮⫘↔-1101111001000010=≮⫘↔10101111101","layer":2},{"info":"≮⫘↔110011010111⊾⪯⋞≮⫘↔1000011110010=≮⫘↔10000000111010","layer":3},{"info":"≮⫘↔1100001001010⋹=≮⫘↔-10100","layer":3},{"info":"≮⫘↔10000000111010⪭≯≮⫘↔-10100=NaN","layer":2},{"info":"≮⫘↔10101111101⩼⇪↪NaN=NaN","layer":1},{"info":"≮⫘↔0⪚NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"⨝⨆(($1858$⊦⊿)⇡)⨎($4920$∣$2705$⇮⋭$2645$∺≝⩲$1841$)","expression":"⨝⨆((≮⫘↔11101000010⊦⊿)⇡)⨎(≮⫘↔1001100111000∣≮⫘↔101010010001⇮⋭≮⫘↔101001010101∺≝⩲≮⫘↔11100110001)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":397,"operation_count":7,"complexity_ratio":56.714285714285715,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1858,"base":2}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4920,"base":2},"right_expr":{"type":"numeric_atoms","value":2705,"base":2}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2645,"base":2},"right_expr":{"type":"numeric_atoms","value":1841,"base":2}}}}},"used_operators":["bQ67fsrMVf","rJVOvQCfKK","UqFzSgLMvQ","14qkJME0vr","vkpjKywKVM","PPChnnnBFF","KPf6cnQVty"],"dependent_operators":["tifHPKVTfV","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"≮⫘↔11110010011001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1858","layer":4},{"info":"compute unary expreesion, input=1858, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5653","layer":3},{"info":"compute unary expreesion, input=-5653, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"number node, value=4920","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=4920, right_input=2705, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4920","layer":3},{"info":"number node, value=2645","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=1841, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4920, right_input=160, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=124320","layer":2},{"info":"compute binary expreesion, left_input=-2917, right_input=124320, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=124320","layer":1},{"info":"compute unary expreesion, input=124320, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=124111","layer":0}],"base":2,"result_base":2,"text":"⨝⨆((≮⫘↔11101000010⊦⊿)⇡)⨎(≮⫘↔1001100111000∣≮⫘↔101010010001⇮⋭≮⫘↔101001010101∺≝⩲≮⫘↔11100110001)=≮⫘↔11110010011001111","reverse_text":"≮⫘↔11110010011001111=⨝⨆((≮⫘↔11101000010⊦⊿)⇡)⨎(≮⫘↔1001100111000∣≮⫘↔101010010001⇮⋭≮⫘↔101001010101∺≝⩲≮⫘↔11100110001)","cot":[{"info":"≮⫘↔11101000010⊦⊿=≮⫘↔-1011000010101","layer":3},{"info":"≮⫘↔-1011000010101⇡=≮⫘↔-101101100101","layer":2},{"info":"≮⫘↔1001100111000∣≮⫘↔101010010001=≮⫘↔1001100111000","layer":3},{"info":"≮⫘↔101001010101∺≝⩲≮⫘↔11100110001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1001100111000⇮⋭≮⫘↔10100000=≮⫘↔11110010110100000","layer":2},{"info":"≮⫘↔-101101100101⨎≮⫘↔11110010110100000=≮⫘↔11110010110100000","layer":1},{"info":"⨝⨆≮⫘↔11110010110100000=≮⫘↔11110010011001111","layer":0}]}
{"id":319,"expression_no_base_symbol":"($2641$≳⇉$3199$⫰⋱(→⩰$1151$)⫳≱↱($3669$⨪↰⇹$1543$)≚⊃≕($4826$≎⊠⪸$1047$))∋((≻⋜($1707$⨪↰⇹$1041$))+⪬∐((≤/$1831$)⋭≵$1845$⨪↰⇹$1882$))","expression":"(≮⫘↔101001010001≳⇉≮⫘↔110001111111⫰⋱(→⩰≮⫘↔10001111111)⫳≱↱(≮⫘↔111001010101⨪↰⇹≮⫘↔11000000111)≚⊃≕(≮⫘↔1001011011010≎⊠⪸≮⫘↔10000010111))∋((≻⋜(≮⫘↔11010101011⨪↰⇹≮⫘↔10000010001))+⪬∐((≤/≮⫘↔11100100111)⋭≵≮⫘↔11100110101⨪↰⇹≮⫘↔11101011010))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":108956095,"operation_count":14,"complexity_ratio":7782578.214285715,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2641,"base":2},"right_expr":{"type":"numeric_atoms","value":3199,"base":2}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1151,"base":2}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3669,"base":2},"right_expr":{"type":"numeric_atoms","value":1543,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4826,"base":2},"right_expr":{"type":"numeric_atoms","value":1047,"base":2}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1707,"base":2},"right_expr":{"type":"numeric_atoms","value":1041,"base":2}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1831,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1845,"base":2},"right_expr":{"type":"numeric_atoms","value":1882,"base":2}}}}},"used_operators":["ukq6epAj5P","ZvLB05nZmT","6o9Blt3TJ6","V0kx6qeWkN","o8Pngz0Tml","Bmrmz2XGnR","tmPS8pqC7x","bJkvcejdHO","2GS7woTJqF","3tj9sqzovi","jBncVCNhdl","eLAdDNolq6"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","g55IO6H4Gj","D4vGDi5EA2","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2641","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=3199, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=3669","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=3669, right_input=1543, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3669","layer":3},{"info":"number node, value=4826","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=4826, right_input=1047, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1249461","layer":3},{"info":"compute binary expreesion, left_input=3669, right_input=1249461, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-3744541","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3744541, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"number node, value=1707","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=1041, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1707","layer":3},{"info":"compute unary expreesion, input=1707, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=1831","layer":4},{"info":"compute unary expreesion, input=1831, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1347","layer":3},{"info":"number node, value=1845","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=1882, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1845","layer":3},{"info":"compute binary expreesion, left_input=-1347, right_input=1845, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101001010001≳⇉≮⫘↔110001111111⫰⋱(→⩰≮⫘↔10001111111)⫳≱↱(≮⫘↔111001010101⨪↰⇹≮⫘↔11000000111)≚⊃≕(≮⫘↔1001011011010≎⊠⪸≮⫘↔10000010111))∋((≻⋜(≮⫘↔11010101011⨪↰⇹≮⫘↔10000010001))+⪬∐((≤/≮⫘↔11100100111)⋭≵≮⫘↔11100110101⨪↰⇹≮⫘↔11101011010))=NaN","reverse_text":"NaN=(≮⫘↔101001010001≳⇉≮⫘↔110001111111⫰⋱(→⩰≮⫘↔10001111111)⫳≱↱(≮⫘↔111001010101⨪↰⇹≮⫘↔11000000111)≚⊃≕(≮⫘↔1001011011010≎⊠⪸≮⫘↔10000010111))∋((≻⋜(≮⫘↔11010101011⨪↰⇹≮⫘↔10000010001))+⪬∐((≤/≮⫘↔11100100111)⋭≵≮⫘↔11100110101⨪↰⇹≮⫘↔11101011010))","cot":[{"info":"≮⫘↔101001010001≳⇉≮⫘↔110001111111=NaN","layer":3},{"info":"→⩰≮⫘↔10001111111=NaN","layer":3},{"info":"NaN⫰⋱NaN=NaN","layer":2},{"info":"≮⫘↔111001010101⨪↰⇹≮⫘↔11000000111=≮⫘↔111001010101","layer":3},{"info":"≮⫘↔1001011011010≎⊠⪸≮⫘↔10000010111=≮⫘↔100110001000010110101","layer":3},{"info":"≮⫘↔111001010101≚⊃≕≮⫘↔100110001000010110101=≮⫘↔-1110010010001100011101","layer":2},{"info":"NaN⫳≱↱≮⫘↔-1110010010001100011101=NaN","layer":1},{"info":"≮⫘↔11010101011⨪↰⇹≮⫘↔10000010001=≮⫘↔11010101011","layer":3},{"info":"≻⋜≮⫘↔11010101011=NaN","layer":2},{"info":"≤/≮⫘↔11100100111=≮⫘↔-10101000011","layer":3},{"info":"≮⫘↔11100110101⨪↰⇹≮⫘↔11101011010=≮⫘↔11100110101","layer":3},{"info":"≮⫘↔-10101000011⋭≵≮⫘↔11100110101=≮⫘↔1000011","layer":2},{"info":"NaN+⪬∐≮⫘↔1000011=NaN","layer":1},{"info":"NaN∋NaN=NaN","layer":0}]}
{"id":320,"expression_no_base_symbol":"((⫵↿$4076$)∴($9606$⩤)⨭⪣(⫟$3905$⪢$1013$))⪥(∓⪦($2502$≑≱⪘)⨼⩣(⨰⫟⨤$3757$))","expression":"((⫵↿≮⫘↔111111101100)∴(≮⫘↔10010110000110⩤)⨭⪣(⫟≮⫘↔111101000001⪢≮⫘↔1111110101))⪥(∓⪦(≮⫘↔100111000110≑≱⪘)⨼⩣(⨰⫟⨤≮⫘↔111010101101))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16987,"operation_count":11,"complexity_ratio":1544.2727272727273,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":4076,"base":2}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":9606,"base":2}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3905,"base":2},"right_expr":{"type":"numeric_atoms","value":1013,"base":2}}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2502,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3757,"base":2}}}}},"used_operators":["QbnwKVWMIQ","kn8WO9XteQ","hrf7POJlIJ","ivGwdmUAux","Z2TMIBDE3Q","z4E1FaHLuy","dWAJyo7jo9","D309nIvmXG","JxwMv5le6e","tGSeddj7UK","Tw270M8GLb"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"≮⫘↔1000111011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4076","layer":4},{"info":"compute unary expreesion, input=4076, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=9606","layer":4},{"info":"compute unary expreesion, input=9606, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-9606","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-9606, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1922","layer":2},{"info":"number node, value=3905","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=1013, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1922, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"number node, value=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=61417","layer":3},{"info":"number node, value=3757","layer":4},{"info":"compute unary expreesion, input=3757, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=61417, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4568","layer":0}],"base":2,"result_base":2,"text":"((⫵↿≮⫘↔111111101100)∴(≮⫘↔10010110000110⩤)⨭⪣(⫟≮⫘↔111101000001⪢≮⫘↔1111110101))⪥(∓⪦(≮⫘↔100111000110≑≱⪘)⨼⩣(⨰⫟⨤≮⫘↔111010101101))=≮⫘↔1000111011000","reverse_text":"≮⫘↔1000111011000=((⫵↿≮⫘↔111111101100)∴(≮⫘↔10010110000110⩤)⨭⪣(⫟≮⫘↔111101000001⪢≮⫘↔1111110101))⪥(∓⪦(≮⫘↔100111000110≑≱⪘)⨼⩣(⨰⫟⨤≮⫘↔111010101101))","cot":[{"info":"⫵↿≮⫘↔111111101100=≮⫘↔10001001","layer":3},{"info":"≮⫘↔10010110000110⩤=≮⫘↔-10010110000110","layer":3},{"info":"≮⫘↔10001001∴≮⫘↔-10010110000110=≮⫘↔11110000010","layer":2},{"info":"≮⫘↔111101000001⪢≮⫘↔1111110101=NaN","layer":3},{"info":"⫟NaN=NaN","layer":2},{"info":"≮⫘↔11110000010⨭⪣NaN=≮⫘↔-10101","layer":1},{"info":"≮⫘↔100111000110≑≱⪘=≮⫘↔1110111111101001","layer":3},{"info":"⨰⫟⨤≮⫘↔111010101101=NaN","layer":3},{"info":"≮⫘↔1110111111101001⨼⩣NaN=NaN","layer":2},{"info":"∓⪦NaN=NaN","layer":1},{"info":"≮⫘↔-10101⪥NaN=≮⫘↔1000111011000","layer":0}]}
{"id":321,"expression_no_base_symbol":"(($3598$⩉⊫⨁)⫘($2221$⨎$3818$)⫍⨯↯)⪁(-($2999$⨜⨶$2045$⫡⨏($2445$↬⩅∪)))","expression":"((≮⫘↔111000001110⩉⊫⨁)⫘(≮⫘↔100010101101⨎≮⫘↔111011101010)⫍⨯↯)⪁(-(≮⫘↔101110110111⨜⨶≮⫘↔11111111101⫡⨏(≮⫘↔100110001101↬⩅∪)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":36961,"operation_count":9,"complexity_ratio":4106.777777777777,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":3598,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2221,"base":2},"right_expr":{"type":"numeric_atoms","value":3818,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2999,"base":2},"right_expr":{"type":"numeric_atoms","value":2045,"base":2}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2445,"base":2}}}}},"used_operators":["I7sXao9hZE","ZcwmYACASQ","48vC8HMD2b","7qqUquhhSb","rJVOvQCfKK","t8gj7n24qd","QMFrweE19q","HiPekx5b7W","VJ330n2nnx"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","7j4O788W3g","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3598","layer":4},{"info":"compute unary expreesion, input=3598, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=3598","layer":3},{"info":"number node, value=2221","layer":4},{"info":"number node, value=3818","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=3818, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3818","layer":3},{"info":"compute binary expreesion, left_input=3598, right_input=3818, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4235653","layer":2},{"info":"compute unary expreesion, input=4235653, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=4235620","layer":1},{"info":"number node, value=2999","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=2999, right_input=2045, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3834","layer":3},{"info":"number node, value=2445","layer":4},{"info":"compute unary expreesion, input=2445, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-7335","layer":3},{"info":"compute binary expreesion, left_input=-3834, right_input=-7335, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-33057","layer":2},{"info":"compute unary expreesion, input=-33057, op_id = t8gj7n24qd, unary_op_definition = 'None', output=33057","layer":1},{"info":"compute binary expreesion, left_input=4235620, right_input=33057, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111000001110⩉⊫⨁)⫘(≮⫘↔100010101101⨎≮⫘↔111011101010)⫍⨯↯)⪁(-(≮⫘↔101110110111⨜⨶≮⫘↔11111111101⫡⨏(≮⫘↔100110001101↬⩅∪)))=NaN","reverse_text":"NaN=((≮⫘↔111000001110⩉⊫⨁)⫘(≮⫘↔100010101101⨎≮⫘↔111011101010)⫍⨯↯)⪁(-(≮⫘↔101110110111⨜⨶≮⫘↔11111111101⫡⨏(≮⫘↔100110001101↬⩅∪)))","cot":[{"info":"≮⫘↔111000001110⩉⊫⨁=≮⫘↔111000001110","layer":3},{"info":"≮⫘↔100010101101⨎≮⫘↔111011101010=≮⫘↔111011101010","layer":3},{"info":"≮⫘↔111000001110⫘≮⫘↔111011101010=≮⫘↔10000001010000110000101","layer":2},{"info":"≮⫘↔10000001010000110000101⫍⨯↯=≮⫘↔10000001010000101100100","layer":1},{"info":"≮⫘↔101110110111⨜⨶≮⫘↔11111111101=≮⫘↔-111011111010","layer":3},{"info":"≮⫘↔100110001101↬⩅∪=≮⫘↔-1110010100111","layer":3},{"info":"≮⫘↔-111011111010⫡⨏≮⫘↔-1110010100111=≮⫘↔-1000000100100001","layer":2},{"info":"-≮⫘↔-1000000100100001=≮⫘↔1000000100100001","layer":1},{"info":"≮⫘↔10000001010000101100100⪁≮⫘↔1000000100100001=NaN","layer":0}]}
{"id":322,"expression_no_base_symbol":"((⨵≀≌$6310$⊬⨰$1884$)⇼⇔∾(⋣$2055$)⪘⫢($3988$⫲⨊))⫠↝⫳","expression":"((⨵≀≌≮⫘↔1100010100110⊬⨰≮⫘↔11101011100)⇼⇔∾(⋣≮⫘↔100000000111)⪘⫢(≮⫘↔111110010100⫲⨊))⫠↝⫳","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":246,"operation_count":7,"complexity_ratio":35.142857142857146,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6310,"base":2},"right_expr":{"type":"numeric_atoms","value":1884,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2055,"base":2}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":3988,"base":2}}}}},"used_operators":["8n5YIzOsVS","tifHPKVTfV","srAu1WTS94","s3Fd5m9Dh2","oacrs7FA3X","zQWRhDnn8F","CArV6hThFE"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe"],"result":"≮⫘↔100101011111010001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6310","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=6310, right_input=1884, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12790","layer":3},{"info":"compute unary expreesion, input=12790, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-38370","layer":2},{"info":"number node, value=2055","layer":4},{"info":"compute unary expreesion, input=2055, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-604075","layer":3},{"info":"number node, value=3988","layer":4},{"info":"compute unary expreesion, input=3988, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=20723","layer":3},{"info":"compute binary expreesion, left_input=-604075, right_input=20723, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-38370, right_input=-1, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=38369","layer":1},{"info":"compute unary expreesion, input=38369, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=1228431","layer":0}],"base":2,"result_base":2,"text":"((⨵≀≌≮⫘↔1100010100110⊬⨰≮⫘↔11101011100)⇼⇔∾(⋣≮⫘↔100000000111)⪘⫢(≮⫘↔111110010100⫲⨊))⫠↝⫳=≮⫘↔100101011111010001111","reverse_text":"≮⫘↔100101011111010001111=((⨵≀≌≮⫘↔1100010100110⊬⨰≮⫘↔11101011100)⇼⇔∾(⋣≮⫘↔100000000111)⪘⫢(≮⫘↔111110010100⫲⨊))⫠↝⫳","cot":[{"info":"≮⫘↔1100010100110⊬⨰≮⫘↔11101011100=≮⫘↔11000111110110","layer":3},{"info":"⨵≀≌≮⫘↔11000111110110=≮⫘↔-1001010111100010","layer":2},{"info":"⋣≮⫘↔100000000111=≮⫘↔-10010011011110101011","layer":3},{"info":"≮⫘↔111110010100⫲⨊=≮⫘↔101000011110011","layer":3},{"info":"≮⫘↔-10010011011110101011⪘⫢≮⫘↔101000011110011=≮⫘↔-1","layer":2},{"info":"≮⫘↔-1001010111100010⇼⇔∾≮⫘↔-1=≮⫘↔1001010111100001","layer":1},{"info":"≮⫘↔1001010111100001⫠↝⫳=≮⫘↔100101011111010001111","layer":0}]}
{"id":323,"expression_no_base_symbol":"∓((↓⇌(⇈$3418$))⩧⪆(⇖⫷⫕$1174$⪭$1334$))","expression":"∓((↓⇌(⇈≮⫘↔110101011010))⩧⪆(⇖⫷⫕≮⫘↔10010010110⪭≮⫘↔10100110110))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1754,"operation_count":6,"complexity_ratio":292.3333333333333,"tree":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":3418,"base":2}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1174,"base":2},"right_expr":{"type":"numeric_atoms","value":1334,"base":2}}}}},"used_operators":["OwUj7dcsQK","Ikt5ks8PT7","PxpmPgHHJV","SLLxy00UIr","UHmRx3INFg","j9kHMeSvPp"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","COABgblf1C","xUOZtlo3hN"],"result":"≮⫘↔1001001001010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3418","layer":4},{"info":"compute unary expreesion, input=3418, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-894","layer":2},{"info":"number node, value=1174","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1334, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-894, right_input=2822, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2822","layer":1},{"info":"compute unary expreesion, input=-2822, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=37458","layer":0}],"base":2,"result_base":2,"text":"∓((↓⇌(⇈≮⫘↔110101011010))⩧⪆(⇖⫷⫕≮⫘↔10010010110⪭≮⫘↔10100110110))=≮⫘↔1001001001010010","reverse_text":"≮⫘↔1001001001010010=∓((↓⇌(⇈≮⫘↔110101011010))⩧⪆(⇖⫷⫕≮⫘↔10010010110⪭≮⫘↔10100110110))","cot":[{"info":"⇈≮⫘↔110101011010=≮⫘↔-110111111","layer":3},{"info":"↓⇌≮⫘↔-110111111=≮⫘↔-1101111110","layer":2},{"info":"≮⫘↔10010010110⪭≮⫘↔10100110110=≮⫘↔101","layer":3},{"info":"⇖⫷⫕≮⫘↔101=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔-1101111110⩧⪆≮⫘↔101100000110=≮⫘↔-101100000110","layer":1},{"info":"∓≮⫘↔-101100000110=≮⫘↔1001001001010010","layer":0}]}
{"id":324,"expression_no_base_symbol":"((⨛(≘$1083$))↬($1866$⨚$4761$∝($8373$%$3736$)))≁↽≥(($6871$⪨≂$4926$)⊉↱≁($3616$⪇≇⋚$5576$)⪕($1535$⪭≯$1633$≋⫹))","expression":"((⨛(≘≮⫘↔10000111011))↬(≮⫘↔11101001010⨚≮⫘↔1001010011001∝(≮⫘↔10000010110101%≮⫘↔111010011000)))≁↽≥((≮⫘↔1101011010111⪨≂≮⫘↔1001100111110)⊉↱≁(≮⫘↔111000100000⪇≇⋚≮⫘↔1010111001000)⪕(≮⫘↔10111111111⪭≯≮⫘↔11001100001≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":532,"operation_count":13,"complexity_ratio":40.92307692307692,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1083,"base":2}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1866,"base":2},"right_expr":{"type":"numeric_atoms","value":4761,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8373,"base":2},"right_expr":{"type":"numeric_atoms","value":3736,"base":2}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6871,"base":2},"right_expr":{"type":"numeric_atoms","value":4926,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3616,"base":2},"right_expr":{"type":"numeric_atoms","value":5576,"base":2}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1535,"base":2},"right_expr":{"type":"numeric_atoms","value":1633,"base":2}}}}},"used_operators":["ncHt1X6cMc","B5M0gjZbta","CoMdbyAt7R","tcjXMdvYtA","cTDWOvIxvz","nREPSIbpBE","k8jYdgA6NY","umQnsF7QlU","w2P8NbNXyL","sdazOOVcIp","3sJ7IOPOlU","N41Kp7NANJ","XAx5wpdLa6"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","rGHVDoGpnC","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","7j4O788W3g","W4YGzv6Whe","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2388799","layer":3},{"info":"compute unary expreesion, input=2388799, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"number node, value=1866","layer":4},{"info":"number node, value=4761","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=4761, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-14378","layer":3},{"info":"number node, value=8373","layer":4},{"info":"number node, value=3736","layer":4},{"info":"compute binary expreesion, left_input=8373, right_input=3736, op_id = k8jYdgA6NY binary_op_definition= 'None', output=901","layer":3},{"info":"compute binary expreesion, left_input=-14378, right_input=901, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-14373","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14373, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=6871","layer":4},{"info":"number node, value=4926","layer":4},{"info":"compute binary expreesion, left_input=6871, right_input=4926, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3992","layer":3},{"info":"number node, value=3616","layer":4},{"info":"number node, value=5576","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=5576, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3992, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=39868","layer":2},{"info":"number node, value=1535","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=1633, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=39868, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=935, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨛(≘≮⫘↔10000111011))↬(≮⫘↔11101001010⨚≮⫘↔1001010011001∝(≮⫘↔10000010110101%≮⫘↔111010011000)))≁↽≥((≮⫘↔1101011010111⪨≂≮⫘↔1001100111110)⊉↱≁(≮⫘↔111000100000⪇≇⋚≮⫘↔1010111001000)⪕(≮⫘↔10111111111⪭≯≮⫘↔11001100001≋⫹))=NaN","reverse_text":"NaN=((⨛(≘≮⫘↔10000111011))↬(≮⫘↔11101001010⨚≮⫘↔1001010011001∝(≮⫘↔10000010110101%≮⫘↔111010011000)))≁↽≥((≮⫘↔1101011010111⪨≂≮⫘↔1001100111110)⊉↱≁(≮⫘↔111000100000⪇≇⋚≮⫘↔1010111001000)⪕(≮⫘↔10111111111⪭≯≮⫘↔11001100001≋⫹))","cot":[{"info":"≘≮⫘↔10000111011=≮⫘↔1001000111001100111111","layer":3},{"info":"⨛≮⫘↔1001000111001100111111=NaN","layer":2},{"info":"≮⫘↔11101001010⨚≮⫘↔1001010011001=≮⫘↔-11100000101010","layer":3},{"info":"≮⫘↔10000010110101%≮⫘↔111010011000=≮⫘↔1110000101","layer":3},{"info":"≮⫘↔-11100000101010∝≮⫘↔1110000101=≮⫘↔-11100000100101","layer":2},{"info":"NaN↬≮⫘↔-11100000100101=NaN","layer":1},{"info":"≮⫘↔1101011010111⪨≂≮⫘↔1001100111110=≮⫘↔111110011000","layer":3},{"info":"≮⫘↔111000100000⪇≇⋚≮⫘↔1010111001000=≮⫘↔0","layer":3},{"info":"≮⫘↔111110011000⊉↱≁≮⫘↔0=≮⫘↔1001101110111100","layer":2},{"info":"≮⫘↔10111111111⪭≯≮⫘↔11001100001=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"≮⫘↔1001101110111100⪕NaN=≮⫘↔1110100111","layer":1},{"info":"NaN≁↽≥≮⫘↔1110100111=NaN","layer":0}]}
{"id":325,"expression_no_base_symbol":"(∐⩳⋚(⨙⪌($2581$⪚$2257$)))+(≘($7793$⇮⋭$1531$))∘((⇋↷$4288$)⪛⫼($6123$⪄$6046$))","expression":"(∐⩳⋚(⨙⪌(≮⫘↔101000010101⪚≮⫘↔100011010001)))+(≘(≮⫘↔1111001110001⇮⋭≮⫘↔10111111011))∘((⇋↷≮⫘↔1000011000000)⪛⫼(≮⫘↔1011111101011⪄≮⫘↔1011110011110))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2211,"operation_count":10,"complexity_ratio":221.1,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2581,"base":2},"right_expr":{"type":"numeric_atoms","value":2257,"base":2}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":7793,"base":2},"right_expr":{"type":"numeric_atoms","value":1531,"base":2}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":4288,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6123,"base":2},"right_expr":{"type":"numeric_atoms","value":6046,"base":2}}}}},"used_operators":["W4YGzv6Whe","SL6IHkK8vl","vEGLkm4Z2k","HrjLwUk87U","Z5m6OM72h2","tcjXMdvYtA","vkpjKywKVM","hyuBjUqXlG","SWo3A1KBJH","SUmda5xLS4"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eH2TOUuTDT","rysDP5nf3Z","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≮⫘↔-101000001110111101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2581","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=2257, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=292","layer":3},{"info":"compute unary expreesion, input=292, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=112685","layer":1},{"info":"number node, value=7793","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=7793, right_input=1531, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=277862","layer":2},{"info":"number node, value=4288","layer":4},{"info":"compute unary expreesion, input=4288, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=34304","layer":3},{"info":"number node, value=6123","layer":4},{"info":"number node, value=6046","layer":4},{"info":"compute binary expreesion, left_input=6123, right_input=6046, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-926477","layer":3},{"info":"compute binary expreesion, left_input=34304, right_input=-926477, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1537","layer":2},{"info":"compute binary expreesion, left_input=277862, right_input=-1537, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-277482","layer":1},{"info":"compute binary expreesion, left_input=112685, right_input=-277482, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-164797","layer":0}],"base":2,"result_base":2,"text":"(∐⩳⋚(⨙⪌(≮⫘↔101000010101⪚≮⫘↔100011010001)))+(≘(≮⫘↔1111001110001⇮⋭≮⫘↔10111111011))∘((⇋↷≮⫘↔1000011000000)⪛⫼(≮⫘↔1011111101011⪄≮⫘↔1011110011110))=≮⫘↔-101000001110111101","reverse_text":"≮⫘↔-101000001110111101=(∐⩳⋚(⨙⪌(≮⫘↔101000010101⪚≮⫘↔100011010001)))+(≘(≮⫘↔1111001110001⇮⋭≮⫘↔10111111011))∘((⇋↷≮⫘↔1000011000000)⪛⫼(≮⫘↔1011111101011⪄≮⫘↔1011110011110))","cot":[{"info":"≮⫘↔101000010101⪚≮⫘↔100011010001=≮⫘↔100100100","layer":3},{"info":"⨙⪌≮⫘↔100100100=≮⫘↔1101100100","layer":2},{"info":"∐⩳⋚≮⫘↔1101100100=≮⫘↔11011100000101101","layer":1},{"info":"≮⫘↔1111001110001⇮⋭≮⫘↔10111111011=≮⫘↔-111011001","layer":3},{"info":"≘≮⫘↔-111011001=≮⫘↔1000011110101100110","layer":2},{"info":"⇋↷≮⫘↔1000011000000=≮⫘↔1000011000000000","layer":3},{"info":"≮⫘↔1011111101011⪄≮⫘↔1011110011110=≮⫘↔-11100010001100001101","layer":3},{"info":"≮⫘↔1000011000000000⪛⫼≮⫘↔-11100010001100001101=≮⫘↔-11000000001","layer":2},{"info":"≮⫘↔1000011110101100110∘≮⫘↔-11000000001=≮⫘↔-1000011101111101010","layer":1},{"info":"≮⫘↔11011100000101101+≮⫘↔-1000011101111101010=≮⫘↔-101000001110111101","layer":0}]}
{"id":326,"expression_no_base_symbol":"⇉-⫰((⨰⫟⨤($6292$⪍↜⋙$3182$))⊭↱$1947$⪝$1221$⨼⩣$8338$≁$1220$)","expression":"⇉-⫰((⨰⫟⨤(≮⫘↔1100010010100⪍↜⋙≮⫘↔110001101110))⊭↱≮⫘↔11110011011⪝≮⫘↔10011000101⨼⩣≮⫘↔10000010010010≁≮⫘↔10011000100)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24934,"operation_count":7,"complexity_ratio":3562.0,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6292,"base":2},"right_expr":{"type":"numeric_atoms","value":3182,"base":2}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1947,"base":2},"right_expr":{"type":"numeric_atoms","value":1221,"base":2}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":8338,"base":2},"right_expr":{"type":"numeric_atoms","value":1220,"base":2}}}}},"used_operators":["IGFM8TAlm9","COABgblf1C","Tw270M8GLb","L05ObWFQCd","JxwMv5le6e","wicAB68Tmb","8N2wDY1A35"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6292","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=6292, right_input=3182, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=6220","layer":3},{"info":"compute unary expreesion, input=6220, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1947","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=1221, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3303","layer":3},{"info":"number node, value=8338","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=8338, right_input=1220, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=16079","layer":3},{"info":"compute binary expreesion, left_input=-3303, right_input=16079, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇉-⫰((⨰⫟⨤(≮⫘↔1100010010100⪍↜⋙≮⫘↔110001101110))⊭↱≮⫘↔11110011011⪝≮⫘↔10011000101⨼⩣≮⫘↔10000010010010≁≮⫘↔10011000100)=NaN","reverse_text":"NaN=⇉-⫰((⨰⫟⨤(≮⫘↔1100010010100⪍↜⋙≮⫘↔110001101110))⊭↱≮⫘↔11110011011⪝≮⫘↔10011000101⨼⩣≮⫘↔10000010010010≁≮⫘↔10011000100)","cot":[{"info":"≮⫘↔1100010010100⪍↜⋙≮⫘↔110001101110=≮⫘↔1100001001100","layer":3},{"info":"⨰⫟⨤≮⫘↔1100001001100=NaN","layer":2},{"info":"≮⫘↔11110011011⪝≮⫘↔10011000101=≮⫘↔-110011100111","layer":3},{"info":"≮⫘↔10000010010010≁≮⫘↔10011000100=≮⫘↔11111011001111","layer":3},{"info":"≮⫘↔-110011100111⨼⩣≮⫘↔11111011001111=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⇉-⫰NaN=NaN","layer":0}]}
{"id":327,"expression_no_base_symbol":"((∥⊫(↓⇌$2193$))⇮⋭($1470$≭$1221$)≳⇉(↯⪼$6238$))⫿","expression":"((∥⊫(↓⇌≮⫘↔100010010001))⇮⋭(≮⫘↔10110111110≭≮⫘↔10011000101)≳⇉(↯⪼≮⫘↔1100001011110))⫿","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":226,"operation_count":7,"complexity_ratio":32.285714285714285,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2193,"base":2}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1470,"base":2},"right_expr":{"type":"numeric_atoms","value":1221,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6238,"base":2}}}}},"used_operators":["9tKT6PmtkH","vkpjKywKVM","P8v4zCKN1o","PxpmPgHHJV","V0kx6qeWkN","rxpJgHHUmx","8jW3W4yZS5"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2193","layer":4},{"info":"compute unary expreesion, input=2193, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2193","layer":3},{"info":"compute unary expreesion, input=2193, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3061","layer":2},{"info":"number node, value=1470","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=1221, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6238","layer":4},{"info":"compute unary expreesion, input=6238, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3061, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((∥⊫(↓⇌≮⫘↔100010010001))⇮⋭(≮⫘↔10110111110≭≮⫘↔10011000101)≳⇉(↯⪼≮⫘↔1100001011110))⫿=NaN","reverse_text":"NaN=((∥⊫(↓⇌≮⫘↔100010010001))⇮⋭(≮⫘↔10110111110≭≮⫘↔10011000101)≳⇉(↯⪼≮⫘↔1100001011110))⫿","cot":[{"info":"↓⇌≮⫘↔100010010001=≮⫘↔100010010001","layer":3},{"info":"∥⊫≮⫘↔100010010001=≮⫘↔101111110101","layer":2},{"info":"≮⫘↔10110111110≭≮⫘↔10011000101=NaN","layer":3},{"info":"↯⪼≮⫘↔1100001011110=≮⫘↔-10101","layer":3},{"info":"NaN≳⇉≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔101111110101⇮⋭NaN=NaN","layer":1},{"info":"NaN⫿=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"(⨩∲⋌($1237$⩇∃⫛$2580$⫦⪉$3878$⫸⇳$3630$))⩘($1925$⨰$1718$⊉≛↸(∓$4298$)⊍⩺⋍($1159$→⨶⪴$5875$)⪚$1494$⪝$3669$)","expression":"(⨩∲⋌(≮⫘↔10011010101⩇∃⫛≮⫘↔101000010100⫦⪉≮⫘↔111100100110⫸⇳≮⫘↔111000101110))⩘(≮⫘↔11110000101⨰≮⫘↔11010110110⊉≛↸(∓≮⫘↔1000011001010)⊍⩺⋍(≮⫘↔10010000111→⨶⪴≮⫘↔1011011110011)⪚≮⫘↔10111010110⪝≮⫘↔111001010101)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6177,"operation_count":12,"complexity_ratio":514.75,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1237,"base":2},"right_expr":{"type":"numeric_atoms","value":2580,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3878,"base":2},"right_expr":{"type":"numeric_atoms","value":3630,"base":2}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1925,"base":2},"right_expr":{"type":"numeric_atoms","value":1718,"base":2}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":4298,"base":2}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1159,"base":2},"right_expr":{"type":"numeric_atoms","value":5875,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1494,"base":2},"right_expr":{"type":"numeric_atoms","value":3669,"base":2}}}}},"used_operators":["cHh1gJQ2o6","aSik1wnThz","wscyQdcy20","1aApVXNlOP","gx7XJ7hdpj","OXDGMFPWZM","DZ8iAZOCBD","eewbuw0ToL","OwUj7dcsQK","HrjLwUk87U","bF6eod5Gvf","wicAB68Tmb"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","8w2t5hMYqp","9FxExcQeMw","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1237","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=2580, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=1816","layer":3},{"info":"number node, value=3878","layer":4},{"info":"number node, value=3630","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=3630, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1816, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1268","layer":2},{"info":"compute unary expreesion, input=1268, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1791","layer":1},{"info":"number node, value=1925","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1718, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=217","layer":3},{"info":"number node, value=4298","layer":4},{"info":"compute unary expreesion, input=4298, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-69342","layer":3},{"info":"compute binary expreesion, left_input=217, right_input=-69342, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=434","layer":2},{"info":"number node, value=1159","layer":4},{"info":"number node, value=5875","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=5875, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-17625","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=3669","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=3669, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=-17625, right_input=237, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=34374","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=34374, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1791, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⨩∲⋌(≮⫘↔10011010101⩇∃⫛≮⫘↔101000010100⫦⪉≮⫘↔111100100110⫸⇳≮⫘↔111000101110))⩘(≮⫘↔11110000101⨰≮⫘↔11010110110⊉≛↸(∓≮⫘↔1000011001010)⊍⩺⋍(≮⫘↔10010000111→⨶⪴≮⫘↔1011011110011)⪚≮⫘↔10111010110⪝≮⫘↔111001010101)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⨩∲⋌(≮⫘↔10011010101⩇∃⫛≮⫘↔101000010100⫦⪉≮⫘↔111100100110⫸⇳≮⫘↔111000101110))⩘(≮⫘↔11110000101⨰≮⫘↔11010110110⊉≛↸(∓≮⫘↔1000011001010)⊍⩺⋍(≮⫘↔10010000111→⨶⪴≮⫘↔1011011110011)⪚≮⫘↔10111010110⪝≮⫘↔111001010101)","cot":[{"info":"≮⫘↔10011010101⩇∃⫛≮⫘↔101000010100=≮⫘↔11100011000","layer":3},{"info":"≮⫘↔111100100110⫸⇳≮⫘↔111000101110=≮⫘↔0","layer":3},{"info":"≮⫘↔11100011000⫦⪉≮⫘↔0=≮⫘↔10011110100","layer":2},{"info":"⨩∲⋌≮⫘↔10011110100=≮⫘↔-11011111111","layer":1},{"info":"≮⫘↔11110000101⨰≮⫘↔11010110110=≮⫘↔11011001","layer":3},{"info":"∓≮⫘↔1000011001010=≮⫘↔-10000111011011110","layer":3},{"info":"≮⫘↔11011001⊉≛↸≮⫘↔-10000111011011110=≮⫘↔110110010","layer":2},{"info":"≮⫘↔10010000111→⨶⪴≮⫘↔1011011110011=≮⫘↔-100010011011001","layer":3},{"info":"≮⫘↔10111010110⪝≮⫘↔111001010101=≮⫘↔11101101","layer":3},{"info":"≮⫘↔-100010011011001⪚≮⫘↔11101101=≮⫘↔1000011001000110","layer":2},{"info":"≮⫘↔110110010⊍⩺⋍≮⫘↔1000011001000110=NaN","layer":1},{"info":"≮⫘↔-11011111111⩘NaN=≮⫘↔10100000","layer":0}]}
{"id":329,"expression_no_base_symbol":"(($2456$≑≱⪘)∠⫱(⫖→$1890$))≁↽≥(($3068$⊍⩺⋍$5404$)⪍↜⋙$4135$⋹⋡⊁$3090$)⪨⊡((⊀$1748$)⫲≸⪮($1190$⋅⇍$1454$)⨵⪆(≸≮(↣≠⋷$9479$)))","expression":"((≮⫘↔100110011000≑≱⪘)∠⫱(⫖→≮⫘↔11101100010))≁↽≥((≮⫘↔101111111100⊍⩺⋍≮⫘↔1010100011100)⪍↜⋙≮⫘↔1000000100111⋹⋡⊁≮⫘↔110000010010)⪨⊡((⊀≮⫘↔11011010100)⫲≸⪮(≮⫘↔10010100110⋅⇍≮⫘↔10110101110)⨵⪆(≸≮(↣≠⋷≮⫘↔10010100000111)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":71766,"operation_count":14,"complexity_ratio":5126.142857142857,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2456,"base":2}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1890,"base":2}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3068,"base":2},"right_expr":{"type":"numeric_atoms","value":5404,"base":2}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4135,"base":2},"right_expr":{"type":"numeric_atoms","value":3090,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1748,"base":2}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1190,"base":2},"right_expr":{"type":"numeric_atoms","value":1454,"base":2}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":9479,"base":2}}}}},"used_operators":["kuIXHzHcAH","ncHt1X6cMc","QvoQhV0rrE","tGSeddj7UK","U4ylXWHChL","L05ObWFQCd","OXDGMFPWZM","As8RqfVLgs","2DQ55sFlQl","P3lXMJvFrc","oPMjh9089D","AdZkA7nFnk","AljMvE3RRm","Asc51vEJeQ"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","XhwjNDsVaA","AHs5Up7iyr"],"result":"≮⫘↔1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2456","layer":4},{"info":"compute unary expreesion, input=2456, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=60221","layer":3},{"info":"number node, value=1890","layer":4},{"info":"compute unary expreesion, input=1890, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=60221, right_input=177, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=60044","layer":2},{"info":"number node, value=3068","layer":4},{"info":"number node, value=5404","layer":4},{"info":"compute binary expreesion, left_input=3068, right_input=5404, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=4135","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=3090, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3840","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3840, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=60044, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"number node, value=1748","layer":4},{"info":"compute unary expreesion, input=1748, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6730","layer":3},{"info":"number node, value=1190","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=1454, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=6730, right_input=-22, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6730","layer":2},{"info":"number node, value=9479","layer":4},{"info":"compute unary expreesion, input=9479, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6730, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=113","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100110011000≑≱⪘)∠⫱(⫖→≮⫘↔11101100010))≁↽≥((≮⫘↔101111111100⊍⩺⋍≮⫘↔1010100011100)⪍↜⋙≮⫘↔1000000100111⋹⋡⊁≮⫘↔110000010010)⪨⊡((⊀≮⫘↔11011010100)⫲≸⪮(≮⫘↔10010100110⋅⇍≮⫘↔10110101110)⨵⪆(≸≮(↣≠⋷≮⫘↔10010100000111)))=≮⫘↔1110001","reverse_text":"≮⫘↔1110001=((≮⫘↔100110011000≑≱⪘)∠⫱(⫖→≮⫘↔11101100010))≁↽≥((≮⫘↔101111111100⊍⩺⋍≮⫘↔1010100011100)⪍↜⋙≮⫘↔1000000100111⋹⋡⊁≮⫘↔110000010010)⪨⊡((⊀≮⫘↔11011010100)⫲≸⪮(≮⫘↔10010100110⋅⇍≮⫘↔10110101110)⨵⪆(≸≮(↣≠⋷≮⫘↔10010100000111)))","cot":[{"info":"≮⫘↔100110011000≑≱⪘=≮⫘↔1110101100111101","layer":3},{"info":"⫖→≮⫘↔11101100010=≮⫘↔10110001","layer":3},{"info":"≮⫘↔1110101100111101∠⫱≮⫘↔10110001=≮⫘↔1110101010001100","layer":2},{"info":"≮⫘↔101111111100⊍⩺⋍≮⫘↔1010100011100=NaN","layer":3},{"info":"≮⫘↔1000000100111⋹⋡⊁≮⫘↔110000010010=≮⫘↔111100000000","layer":3},{"info":"NaN⪍↜⋙≮⫘↔111100000000=NaN","layer":2},{"info":"≮⫘↔1110101010001100≁↽≥NaN=NaN","layer":1},{"info":"⊀≮⫘↔11011010100=≮⫘↔1101001001010","layer":3},{"info":"≮⫘↔10010100110⋅⇍≮⫘↔10110101110=≮⫘↔-10110","layer":3},{"info":"≮⫘↔1101001001010⫲≸⪮≮⫘↔-10110=≮⫘↔1101001001010","layer":2},{"info":"↣≠⋷≮⫘↔10010100000111=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"≮⫘↔1101001001010⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"NaN⪨⊡≮⫘↔10100000=≮⫘↔1110001","layer":0}]}
{"id":330,"expression_no_base_symbol":"$4795$⊕∕$6859$⋕⪉⪜($4032$⩺⪪$3579$)⨽∌((⊆⋠$1012$)≝⊿($2837$⊔$3324$))↹⊜(⋂($3812$∛$3167$⋭≵$1960$↼⊘⨖$3487$))","expression":"≮⫘↔1001010111011⊕∕≮⫘↔1101011001011⋕⪉⪜(≮⫘↔111111000000⩺⪪≮⫘↔110111111011)⨽∌((⊆⋠≮⫘↔1111110100)≝⊿(≮⫘↔101100010101⊔≮⫘↔110011111100))↹⊜(⋂(≮⫘↔111011100100∛≮⫘↔110001011111⋭≵≮⫘↔11110101000↼⊘⨖≮⫘↔110110011111))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":744,"operation_count":12,"complexity_ratio":62.0,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4795,"base":2},"right_expr":{"type":"numeric_atoms","value":6859,"base":2}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4032,"base":2},"right_expr":{"type":"numeric_atoms","value":3579,"base":2}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1012,"base":2}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2837,"base":2},"right_expr":{"type":"numeric_atoms","value":3324,"base":2}}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3812,"base":2},"right_expr":{"type":"numeric_atoms","value":3167,"base":2}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1960,"base":2},"right_expr":{"type":"numeric_atoms","value":3487,"base":2}}}}},"used_operators":["9bazX3JMtO","9samAPKr6k","z6LnFrNh4i","9cloC0Ngie","uvdQJvN4PV","OKKcZfAt5B","EBhcHTkKd8","E4l6HwMY31","BUOGQAYlQx","jBncVCNhdl","w2537kitQq","bPywburJMS"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","12rbrZMWeM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"≮⫘↔101001010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4795","layer":4},{"info":"number node, value=6859","layer":4},{"info":"compute binary expreesion, left_input=4795, right_input=6859, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4795","layer":3},{"info":"number node, value=4032","layer":4},{"info":"number node, value=3579","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=3579, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-8146","layer":3},{"info":"compute binary expreesion, left_input=4795, right_input=-8146, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=2837","layer":4},{"info":"number node, value=3324","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=3324, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=19894","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=19894, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-40321","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=-40321, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=3812","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=3812, right_input=3167, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1960","layer":4},{"info":"number node, value=3487","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=3487, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6752","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=6752, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-342","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-342, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=2640","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔1001010111011⊕∕≮⫘↔1101011001011⋕⪉⪜(≮⫘↔111111000000⩺⪪≮⫘↔110111111011)⨽∌((⊆⋠≮⫘↔1111110100)≝⊿(≮⫘↔101100010101⊔≮⫘↔110011111100))↹⊜(⋂(≮⫘↔111011100100∛≮⫘↔110001011111⋭≵≮⫘↔11110101000↼⊘⨖≮⫘↔110110011111))=≮⫘↔101001010000","reverse_text":"≮⫘↔101001010000=≮⫘↔1001010111011⊕∕≮⫘↔1101011001011⋕⪉⪜(≮⫘↔111111000000⩺⪪≮⫘↔110111111011)⨽∌((⊆⋠≮⫘↔1111110100)≝⊿(≮⫘↔101100010101⊔≮⫘↔110011111100))↹⊜(⋂(≮⫘↔111011100100∛≮⫘↔110001011111⋭≵≮⫘↔11110101000↼⊘⨖≮⫘↔110110011111))","cot":[{"info":"≮⫘↔1001010111011⊕∕≮⫘↔1101011001011=≮⫘↔1001010111011","layer":3},{"info":"≮⫘↔111111000000⩺⪪≮⫘↔110111111011=≮⫘↔-1111111010010","layer":3},{"info":"≮⫘↔1001010111011⋕⪉⪜≮⫘↔-1111111010010=≮⫘↔101011110010","layer":2},{"info":"⊆⋠≮⫘↔1111110100=≮⫘↔0","layer":3},{"info":"≮⫘↔101100010101⊔≮⫘↔110011111100=≮⫘↔100110110110110","layer":3},{"info":"≮⫘↔0≝⊿≮⫘↔100110110110110=≮⫘↔-1001110110000001","layer":2},{"info":"≮⫘↔101011110010⨽∌≮⫘↔-1001110110000001=≮⫘↔0","layer":1},{"info":"≮⫘↔111011100100∛≮⫘↔110001011111=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔11110101000↼⊘⨖≮⫘↔110110011111=≮⫘↔1101001100000","layer":3},{"info":"≮⫘↔-1010011110⋭≵≮⫘↔1101001100000=≮⫘↔1000011","layer":2},{"info":"⋂≮⫘↔1000011=≮⫘↔-101010110","layer":1},{"info":"≮⫘↔0↹⊜≮⫘↔-101010110=≮⫘↔101001010000","layer":0}]}
{"id":331,"expression_no_base_symbol":"∂⩏⊆$1580$⨼⩣$1253$+⇶⊼($1987$⪇≇⋚$7451$)⩚⊴⇥($7365$≄⊠$1794$∙∹∝$3026$↡⊰⫅$1473$)","expression":"∂⩏⊆≮⫘↔11000101100⨼⩣≮⫘↔10011100101+⇶⊼(≮⫘↔11111000011⪇≇⋚≮⫘↔1110100011011)⩚⊴⇥(≮⫘↔1110011000101≄⊠≮⫘↔11100000010∙∹∝≮⫘↔101111010010↡⊰⫅≮⫘↔10111000001)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21085,"operation_count":8,"complexity_ratio":2635.625,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1580,"base":2},"right_expr":{"type":"numeric_atoms","value":1253,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1987,"base":2},"right_expr":{"type":"numeric_atoms","value":7451,"base":2}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":7365,"base":2},"right_expr":{"type":"numeric_atoms","value":1794,"base":2}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3026,"base":2},"right_expr":{"type":"numeric_atoms","value":1473,"base":2}}}}},"used_operators":["8WDwsbhb0R","NTOWxs364D","TpPTUOHfaN","JxwMv5le6e","3sJ7IOPOlU","HmxsFra2vL","vXNesLlMH1","VCtxkLNOzz"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"≮⫘↔1001011101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1580","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=1253, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1987","layer":4},{"info":"number node, value=7451","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=7451, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"number node, value=7365","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=7365, right_input=1794, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=33372","layer":3},{"info":"number node, value=3026","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=1473, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2946","layer":3},{"info":"compute binary expreesion, left_input=33372, right_input=2946, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-121","layer":1},{"info":"compute unary expreesion, input=-121, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=605","layer":0}],"base":2,"result_base":2,"text":"∂⩏⊆≮⫘↔11000101100⨼⩣≮⫘↔10011100101+⇶⊼(≮⫘↔11111000011⪇≇⋚≮⫘↔1110100011011)⩚⊴⇥(≮⫘↔1110011000101≄⊠≮⫘↔11100000010∙∹∝≮⫘↔101111010010↡⊰⫅≮⫘↔10111000001)=≮⫘↔1001011101","reverse_text":"≮⫘↔1001011101=∂⩏⊆≮⫘↔11000101100⨼⩣≮⫘↔10011100101+⇶⊼(≮⫘↔11111000011⪇≇⋚≮⫘↔1110100011011)⩚⊴⇥(≮⫘↔1110011000101≄⊠≮⫘↔11100000010∙∹∝≮⫘↔101111010010↡⊰⫅≮⫘↔10111000001)","cot":[{"info":"≮⫘↔11000101100⨼⩣≮⫘↔10011100101=NaN","layer":3},{"info":"≮⫘↔11111000011⪇≇⋚≮⫘↔1110100011011=≮⫘↔0","layer":3},{"info":"NaN+⇶⊼≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1110011000101≄⊠≮⫘↔11100000010=≮⫘↔1000001001011100","layer":3},{"info":"≮⫘↔101111010010↡⊰⫅≮⫘↔10111000001=≮⫘↔101110000010","layer":3},{"info":"≮⫘↔1000001001011100∙∹∝≮⫘↔101110000010=≮⫘↔0","layer":2},{"info":"≮⫘↔0⩚⊴⇥≮⫘↔0=≮⫘↔-1111001","layer":1},{"info":"∂⩏⊆≮⫘↔-1111001=≮⫘↔1001011101","layer":0}]}
{"id":332,"expression_no_base_symbol":"(($1792$↙$2703$)⩁⩘($4152$↓⨍⋜))⨂≜($1582$∠⫱$1226$⫔⩽⩺$1826$∊∟⩊$1726$)⇼⇔∾(($1219$⊹≧⊝)≎⊠⪸$2984$⊬⨰$1000$)⋹⋡⊁(≸($1090$⇉⇱⇎))","expression":"((≮⫘↔11100000000↙≮⫘↔101010001111)⩁⩘(≮⫘↔1000000111000↓⨍⋜))⨂≜(≮⫘↔11000101110∠⫱≮⫘↔10011001010⫔⩽⩺≮⫘↔11100100010∊∟⩊≮⫘↔11010111110)⇼⇔∾((≮⫘↔10011000011⊹≧⊝)≎⊠⪸≮⫘↔101110101000⊬⨰≮⫘↔1111101000)⋹⋡⊁(≸(≮⫘↔10001000010⇉⇱⇎))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":93987,"operation_count":14,"complexity_ratio":6713.357142857143,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1792,"base":2},"right_expr":{"type":"numeric_atoms","value":2703,"base":2}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":4152,"base":2}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1582,"base":2},"right_expr":{"type":"numeric_atoms","value":1226,"base":2}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1826,"base":2},"right_expr":{"type":"numeric_atoms","value":1726,"base":2}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1219,"base":2}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2984,"base":2},"right_expr":{"type":"numeric_atoms","value":1000,"base":2}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1090,"base":2}}}}},"used_operators":["tifHPKVTfV","k1SHOSEABc","gub5Cegaqo","yyfyN0ffXY","3DVzLFNsE9","i9eR4S00cU","QvoQhV0rrE","ddLRYrp01A","As8RqfVLgs","bJkvcejdHO","LxFB4K6j0n","s3Fd5m9Dh2","eOf03JbCpp","MRPaB8lBjK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DpFCA1CohY","IWmyXbctLI","tmPS8pqC7x","DpFCA1CohY","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"number node, value=2703","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=2703, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8109","layer":3},{"info":"number node, value=4152","layer":4},{"info":"compute unary expreesion, input=4152, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=-8109, right_input=6590, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=27308","layer":2},{"info":"number node, value=1582","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=1226, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1826","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1726, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1726","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1726, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=27308, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-4876","layer":3},{"info":"number node, value=2984","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2984, right_input=1000, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5928","layer":3},{"info":"compute binary expreesion, left_input=-4876, right_input=5928, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1262884","layer":2},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-872","layer":3},{"info":"compute unary expreesion, input=-872, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=1262884, right_input=968, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1718","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1718, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11100000000↙≮⫘↔101010001111)⩁⩘(≮⫘↔1000000111000↓⨍⋜))⨂≜(≮⫘↔11000101110∠⫱≮⫘↔10011001010⫔⩽⩺≮⫘↔11100100010∊∟⩊≮⫘↔11010111110)⇼⇔∾((≮⫘↔10011000011⊹≧⊝)≎⊠⪸≮⫘↔101110101000⊬⨰≮⫘↔1111101000)⋹⋡⊁(≸(≮⫘↔10001000010⇉⇱⇎))=NaN","reverse_text":"NaN=((≮⫘↔11100000000↙≮⫘↔101010001111)⩁⩘(≮⫘↔1000000111000↓⨍⋜))⨂≜(≮⫘↔11000101110∠⫱≮⫘↔10011001010⫔⩽⩺≮⫘↔11100100010∊∟⩊≮⫘↔11010111110)⇼⇔∾((≮⫘↔10011000011⊹≧⊝)≎⊠⪸≮⫘↔101110101000⊬⨰≮⫘↔1111101000)⋹⋡⊁(≸(≮⫘↔10001000010⇉⇱⇎))","cot":[{"info":"≮⫘↔11100000000↙≮⫘↔101010001111=≮⫘↔-1111110101101","layer":3},{"info":"≮⫘↔1000000111000↓⨍⋜=≮⫘↔1100110111110","layer":3},{"info":"≮⫘↔-1111110101101⩁⩘≮⫘↔1100110111110=≮⫘↔110101010101100","layer":2},{"info":"≮⫘↔11000101110∠⫱≮⫘↔10011001010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔11100100010∊∟⩊≮⫘↔11010111110=≮⫘↔11010111110","layer":3},{"info":"≮⫘↔10011010010⫔⩽⩺≮⫘↔11010111110=NaN","layer":2},{"info":"≮⫘↔110101010101100⨂≜NaN=NaN","layer":1},{"info":"≮⫘↔10011000011⊹≧⊝=≮⫘↔-1001100001100","layer":3},{"info":"≮⫘↔101110101000⊬⨰≮⫘↔1111101000=≮⫘↔1011100101000","layer":3},{"info":"≮⫘↔-1001100001100≎⊠⪸≮⫘↔1011100101000=≮⫘↔100110100010100100100","layer":2},{"info":"≮⫘↔10001000010⇉⇱⇎=≮⫘↔-1101101000","layer":3},{"info":"≸≮⫘↔-1101101000=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔100110100010100100100⋹⋡⊁≮⫘↔1111001000=≮⫘↔11010110110","layer":1},{"info":"NaN⇼⇔∾≮⫘↔11010110110=NaN","layer":0}]}
{"id":333,"expression_no_base_symbol":"((($3055$≑≱⪘)⩹$1183$⩷∴$1890$)⪪($1302$⇮⋭$1689$)⨜⨶($1244$⪹))⇂≾⫗(⇋↷(∤↝$2470$)⫞⩸⩒($7193$⫁⪎$1724$))","expression":"(((≮⫘↔101111101111≑≱⪘)⩹≮⫘↔10010011111⩷∴≮⫘↔11101100010)⪪(≮⫘↔10100010110⇮⋭≮⫘↔11010011001)⨜⨶(≮⫘↔10011011100⪹))⇂≾⫗(⇋↷(∤↝≮⫘↔100110100110)⫞⩸⩒(≮⫘↔1110000011001⫁⪎≮⫘↔11010111100))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":229377,"operation_count":12,"complexity_ratio":19114.75,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":3055,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1183,"base":2},"right_expr":{"type":"numeric_atoms","value":1890,"base":2}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1302,"base":2},"right_expr":{"type":"numeric_atoms","value":1689,"base":2}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1244,"base":2}}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2470,"base":2}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":7193,"base":2},"right_expr":{"type":"numeric_atoms","value":1724,"base":2}}}}},"used_operators":["aBQ6xLxuTc","xD69zh8xqp","2Wsdkap16l","tGSeddj7UK","9FxExcQeMw","HiPekx5b7W","vkpjKywKVM","B3sABdIn96","SWo3A1KBJH","XGcMNugi78","3UMq87Qwqg","xRrnTEsQ6j"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rysDP5nf3Z","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"≮⫘↔-1010011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3055","layer":4},{"info":"compute unary expreesion, input=3055, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=75795","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=1890, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1446","layer":3},{"info":"compute binary expreesion, left_input=75795, right_input=-1446, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-1448","layer":2},{"info":"number node, value=1302","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=1689, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1244","layer":4},{"info":"compute unary expreesion, input=1244, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=6980","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=6980, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-13704","layer":2},{"info":"compute binary expreesion, left_input=-1448, right_input=-13704, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-10908562","layer":1},{"info":"number node, value=2470","layer":4},{"info":"compute unary expreesion, input=2470, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=2470","layer":3},{"info":"number node, value=7193","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=7193, right_input=1724, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5469","layer":3},{"info":"compute binary expreesion, left_input=2470, right_input=5469, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5469","layer":2},{"info":"compute unary expreesion, input=5469, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=43752","layer":1},{"info":"compute binary expreesion, left_input=-10908562, right_input=43752, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101111101111≑≱⪘)⩹≮⫘↔10010011111⩷∴≮⫘↔11101100010)⪪(≮⫘↔10100010110⇮⋭≮⫘↔11010011001)⨜⨶(≮⫘↔10011011100⪹))⇂≾⫗(⇋↷(∤↝≮⫘↔100110100110)⫞⩸⩒(≮⫘↔1110000011001⫁⪎≮⫘↔11010111100))=≮⫘↔-1010011110","reverse_text":"≮⫘↔-1010011110=(((≮⫘↔101111101111≑≱⪘)⩹≮⫘↔10010011111⩷∴≮⫘↔11101100010)⪪(≮⫘↔10100010110⇮⋭≮⫘↔11010011001)⨜⨶(≮⫘↔10011011100⪹))⇂≾⫗(⇋↷(∤↝≮⫘↔100110100110)⫞⩸⩒(≮⫘↔1110000011001⫁⪎≮⫘↔11010111100))","cot":[{"info":"≮⫘↔101111101111≑≱⪘=≮⫘↔10010100000010011","layer":3},{"info":"≮⫘↔10010011111⩷∴≮⫘↔11101100010=≮⫘↔-10110100110","layer":3},{"info":"≮⫘↔10010100000010011⩹≮⫘↔-10110100110=≮⫘↔-10110101000","layer":2},{"info":"≮⫘↔10100010110⇮⋭≮⫘↔11010011001=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔10011011100⪹=≮⫘↔1101101000100","layer":3},{"info":"≮⫘↔-111011001⨜⨶≮⫘↔1101101000100=≮⫘↔-11010110001000","layer":2},{"info":"≮⫘↔-10110101000⪪≮⫘↔-11010110001000=≮⫘↔-101001100111001110010010","layer":1},{"info":"∤↝≮⫘↔100110100110=≮⫘↔100110100110","layer":3},{"info":"≮⫘↔1110000011001⫁⪎≮⫘↔11010111100=≮⫘↔1010101011101","layer":3},{"info":"≮⫘↔100110100110⫞⩸⩒≮⫘↔1010101011101=≮⫘↔1010101011101","layer":2},{"info":"⇋↷≮⫘↔1010101011101=≮⫘↔1010101011101000","layer":1},{"info":"≮⫘↔-101001100111001110010010⇂≾⫗≮⫘↔1010101011101000=≮⫘↔-1010011110","layer":0}]}
{"id":334,"expression_no_base_symbol":"($2567$⨸⪁$1124$⪒$3294$⩌⋺$3901$)⪒⊣⊆(($5276$∁)⊾⪯⋞($3220$↪⪝))∲⫓(($2124$⨎$2251$)⨪↰⇹($2509$⫰⋱$3140$))⪛($1272$⪁$2245$)⇂≾⫗($1522$⋭≵$1537$)","expression":"(≮⫘↔101000000111⨸⪁≮⫘↔10001100100⪒≮⫘↔110011011110⩌⋺≮⫘↔111100111101)⪒⊣⊆((≮⫘↔1010010011100∁)⊾⪯⋞(≮⫘↔110010010100↪⪝))∲⫓((≮⫘↔100001001100⨎≮⫘↔100011001011)⨪↰⇹(≮⫘↔100111001101⫰⋱≮⫘↔110001000100))⪛(≮⫘↔10011111000⪁≮⫘↔100011000101)⇂≾⫗(≮⫘↔10111110010⋭≵≮⫘↔11000000001)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":79536901,"operation_count":15,"complexity_ratio":5302460.066666666,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2567,"base":2},"right_expr":{"type":"numeric_atoms","value":1124,"base":2}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3294,"base":2},"right_expr":{"type":"numeric_atoms","value":3901,"base":2}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":5276,"base":2}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3220,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2124,"base":2},"right_expr":{"type":"numeric_atoms","value":2251,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2509,"base":2},"right_expr":{"type":"numeric_atoms","value":3140,"base":2}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1272,"base":2},"right_expr":{"type":"numeric_atoms","value":2245,"base":2}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1522,"base":2},"right_expr":{"type":"numeric_atoms","value":1537,"base":2}}}}},"used_operators":["i8ToyICDmI","eRqsBgTDFp","f6k1SAg4EE","g55IO6H4Gj","g7Hmc5v1ko","HK0tfVPux8","jdwGQqwJi5","l07mrZUIn9","uFcxV4UQCh","tmPS8pqC7x","rJVOvQCfKK","6o9Blt3TJ6","aBQ6xLxuTc","I7sXao9hZE","jBncVCNhdl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","2DDjHMKMc0","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2567","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=1124, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7382","layer":3},{"info":"number node, value=3294","layer":4},{"info":"number node, value=3901","layer":4},{"info":"compute binary expreesion, left_input=3294, right_input=3901, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-7316","layer":3},{"info":"compute binary expreesion, left_input=7382, right_input=-7316, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-66","layer":2},{"info":"number node, value=5276","layer":4},{"info":"compute unary expreesion, input=5276, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=5276","layer":3},{"info":"number node, value=3220","layer":4},{"info":"compute unary expreesion, input=3220, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=197006040","layer":3},{"info":"compute binary expreesion, left_input=5276, right_input=197006040, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=394011654","layer":2},{"info":"compute binary expreesion, left_input=-66, right_input=394011654, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=788023542","layer":1},{"info":"number node, value=2124","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=2251, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2251","layer":3},{"info":"number node, value=2509","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=3140, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2476","layer":3},{"info":"compute binary expreesion, left_input=2251, right_input=-2476, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2251","layer":2},{"info":"number node, value=1272","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2245, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1522","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1537, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2251, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=788023542, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101000000111⨸⪁≮⫘↔10001100100⪒≮⫘↔110011011110⩌⋺≮⫘↔111100111101)⪒⊣⊆((≮⫘↔1010010011100∁)⊾⪯⋞(≮⫘↔110010010100↪⪝))∲⫓((≮⫘↔100001001100⨎≮⫘↔100011001011)⨪↰⇹(≮⫘↔100111001101⫰⋱≮⫘↔110001000100))⪛(≮⫘↔10011111000⪁≮⫘↔100011000101)⇂≾⫗(≮⫘↔10111110010⋭≵≮⫘↔11000000001)=NaN","reverse_text":"NaN=(≮⫘↔101000000111⨸⪁≮⫘↔10001100100⪒≮⫘↔110011011110⩌⋺≮⫘↔111100111101)⪒⊣⊆((≮⫘↔1010010011100∁)⊾⪯⋞(≮⫘↔110010010100↪⪝))∲⫓((≮⫘↔100001001100⨎≮⫘↔100011001011)⨪↰⇹(≮⫘↔100111001101⫰⋱≮⫘↔110001000100))⪛(≮⫘↔10011111000⪁≮⫘↔100011000101)⇂≾⫗(≮⫘↔10111110010⋭≵≮⫘↔11000000001)","cot":[{"info":"≮⫘↔101000000111⨸⪁≮⫘↔10001100100=≮⫘↔1110011010110","layer":3},{"info":"≮⫘↔110011011110⩌⋺≮⫘↔111100111101=≮⫘↔-1110010010100","layer":3},{"info":"≮⫘↔1110011010110⪒≮⫘↔-1110010010100=≮⫘↔-1000010","layer":2},{"info":"≮⫘↔1010010011100∁=≮⫘↔1010010011100","layer":3},{"info":"≮⫘↔110010010100↪⪝=≮⫘↔1011101111100001001011011000","layer":3},{"info":"≮⫘↔1010010011100⊾⪯⋞≮⫘↔1011101111100001001011011000=≮⫘↔10111011111000010010000000110","layer":2},{"info":"≮⫘↔-1000010⪒⊣⊆≮⫘↔10111011111000010010000000110=≮⫘↔101110111110000100100011110110","layer":1},{"info":"≮⫘↔100001001100⨎≮⫘↔100011001011=≮⫘↔100011001011","layer":3},{"info":"≮⫘↔100111001101⫰⋱≮⫘↔110001000100=≮⫘↔-100110101100","layer":3},{"info":"≮⫘↔100011001011⨪↰⇹≮⫘↔-100110101100=≮⫘↔100011001011","layer":2},{"info":"≮⫘↔10011111000⪁≮⫘↔100011000101=NaN","layer":3},{"info":"≮⫘↔10111110010⋭≵≮⫘↔11000000001=≮⫘↔1000011","layer":3},{"info":"NaN⇂≾⫗≮⫘↔1000011=NaN","layer":2},{"info":"≮⫘↔100011001011⪛NaN=NaN","layer":1},{"info":"≮⫘↔101110111110000100100011110110∲⫓NaN=NaN","layer":0}]}
{"id":335,"expression_no_base_symbol":"(($7138$⋷$1865$)⪭≯($5199$≬⋮$1121$)⇄($6484$≥⨤⩑$4088$)⪝(↞≼$4519$))⪥(≤/($3678$⪔$1502$)⪶≀⋏$3532$∌$1332$)","expression":"((≮⫘↔1101111100010⋷≮⫘↔11101001001)⪭≯(≮⫘↔1010001001111≬⋮≮⫘↔10001100001)⇄(≮⫘↔1100101010100≥⨤⩑≮⫘↔111111111000)⪝(↞≼≮⫘↔1000110100111))⪥(≤/(≮⫘↔111001011110⪔≮⫘↔10111011110)⪶≀⋏≮⫘↔110111001100∌≮⫘↔10100110100)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8382,"operation_count":12,"complexity_ratio":698.5,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7138,"base":2},"right_expr":{"type":"numeric_atoms","value":1865,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5199,"base":2},"right_expr":{"type":"numeric_atoms","value":1121,"base":2}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6484,"base":2},"right_expr":{"type":"numeric_atoms","value":4088,"base":2}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4519,"base":2}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3678,"base":2},"right_expr":{"type":"numeric_atoms","value":1502,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3532,"base":2},"right_expr":{"type":"numeric_atoms","value":1332,"base":2}}}}},"used_operators":["QbnwKVWMIQ","3EYGwJThht","XAx5wpdLa6","23Mk6UjR3U","kbkesczE7y","wicAB68Tmb","gJLn6v0xnP","DE7zCoGJt9","eLAdDNolq6","zR4jO40bMj","GjBEYRfMaF","8cLx32lpNA"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"≮⫘↔-11011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7138","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=7138, right_input=1865, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3408","layer":3},{"info":"number node, value=5199","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=5199, right_input=1121, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-3408, right_input=868, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=6484","layer":4},{"info":"number node, value=4088","layer":4},{"info":"compute binary expreesion, left_input=6484, right_input=4088, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=4519","layer":4},{"info":"compute unary expreesion, input=4519, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=35738","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=35738, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=236, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"number node, value=3678","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=3678, right_input=1502, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3532","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=1332, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1332","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-1332, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=321","layer":2},{"info":"compute unary expreesion, input=321, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=163","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=163, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-220","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1101111100010⋷≮⫘↔11101001001)⪭≯(≮⫘↔1010001001111≬⋮≮⫘↔10001100001)⇄(≮⫘↔1100101010100≥⨤⩑≮⫘↔111111111000)⪝(↞≼≮⫘↔1000110100111))⪥(≤/(≮⫘↔111001011110⪔≮⫘↔10111011110)⪶≀⋏≮⫘↔110111001100∌≮⫘↔10100110100)=≮⫘↔-11011100","reverse_text":"≮⫘↔-11011100=((≮⫘↔1101111100010⋷≮⫘↔11101001001)⪭≯(≮⫘↔1010001001111≬⋮≮⫘↔10001100001)⇄(≮⫘↔1100101010100≥⨤⩑≮⫘↔111111111000)⪝(↞≼≮⫘↔1000110100111))⪥(≤/(≮⫘↔111001011110⪔≮⫘↔10111011110)⪶≀⋏≮⫘↔110111001100∌≮⫘↔10100110100)","cot":[{"info":"≮⫘↔1101111100010⋷≮⫘↔11101001001=≮⫘↔-110101010000","layer":3},{"info":"≮⫘↔1010001001111≬⋮≮⫘↔10001100001=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔-110101010000⪭≯≮⫘↔1101100100=NaN","layer":2},{"info":"≮⫘↔1100101010100≥⨤⩑≮⫘↔111111111000=≮⫘↔10011010010","layer":3},{"info":"↞≼≮⫘↔1000110100111=≮⫘↔1000101110011010","layer":3},{"info":"≮⫘↔10011010010⪝≮⫘↔1000101110011010=≮⫘↔11101100","layer":2},{"info":"NaN⇄≮⫘↔11101100=NaN","layer":1},{"info":"≮⫘↔111001011110⪔≮⫘↔10111011110=≮⫘↔111000010","layer":3},{"info":"≮⫘↔110111001100∌≮⫘↔10100110100=≮⫘↔-10100110100","layer":3},{"info":"≮⫘↔111000010⪶≀⋏≮⫘↔-10100110100=≮⫘↔101000001","layer":2},{"info":"≤/≮⫘↔101000001=≮⫘↔10100011","layer":1},{"info":"NaN⪥≮⫘↔10100011=≮⫘↔-11011100","layer":0}]}
{"id":336,"expression_no_base_symbol":"(((≯$1532$)⋘⨑⨽)⪔(⊑($2051$⨌↪)))⨐((⪸$3442$≝⊿$4845$)*(↓⇌$1318$⪟⇏$7598$))","expression":"(((≯≮⫘↔10111111100)⋘⨑⨽)⪔(⊑(≮⫘↔100000000011⨌↪)))⨐((⪸≮⫘↔110101110010≝⊿≮⫘↔1001011101101)*(↓⇌≮⫘↔10100100110⪟⇏≮⫘↔1110110101110))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":811,"operation_count":11,"complexity_ratio":73.72727272727273,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1532,"base":2}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":2051,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3442,"base":2},"right_expr":{"type":"numeric_atoms","value":4845,"base":2}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1318,"base":2},"right_expr":{"type":"numeric_atoms","value":7598,"base":2}}}}},"used_operators":["Noe24qw2ks","GjBEYRfMaF","WmT3o8z6ya","keWfFq85dY","IkUmn0D7oy","cWQsF5MvuD","9HNa5Wba9A","86A5ENbKR9","OKKcZfAt5B","PxpmPgHHJV","GODebY97qR"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","12rbrZMWeM","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"≮⫘↔-1110000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=783","layer":2},{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute unary expreesion, input=-480, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=783, right_input=192, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=3442","layer":4},{"info":"number node, value=4845","layer":4},{"info":"compute binary expreesion, left_input=3442, right_input=4845, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-13665","layer":3},{"info":"compute unary expreesion, input=-13665, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=134752","layer":2},{"info":"number node, value=1318","layer":4},{"info":"number node, value=7598","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=7598, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=134752, right_input=-2, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-269504","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=-269504, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-900","layer":0}],"base":2,"result_base":2,"text":"(((≯≮⫘↔10111111100)⋘⨑⨽)⪔(⊑(≮⫘↔100000000011⨌↪)))⨐((⪸≮⫘↔110101110010≝⊿≮⫘↔1001011101101)*(↓⇌≮⫘↔10100100110⪟⇏≮⫘↔1110110101110))=≮⫘↔-1110000100","reverse_text":"≮⫘↔-1110000100=(((≯≮⫘↔10111111100)⋘⨑⨽)⪔(⊑(≮⫘↔100000000011⨌↪)))⨐((⪸≮⫘↔110101110010≝⊿≮⫘↔1001011101101)*(↓⇌≮⫘↔10100100110⪟⇏≮⫘↔1110110101110))","cot":[{"info":"≯≮⫘↔10111111100=≮⫘↔0","layer":3},{"info":"≮⫘↔0⋘⨑⨽=≮⫘↔1100001111","layer":2},{"info":"≮⫘↔100000000011⨌↪=≮⫘↔-111100000","layer":3},{"info":"⊑≮⫘↔-111100000=≮⫘↔11000000","layer":2},{"info":"≮⫘↔1100001111⪔≮⫘↔11000000=≮⫘↔111000010","layer":1},{"info":"≮⫘↔110101110010≝⊿≮⫘↔1001011101101=≮⫘↔-11010101100001","layer":3},{"info":"⪸≮⫘↔-11010101100001=≮⫘↔100000111001100000","layer":2},{"info":"≮⫘↔10100100110⪟⇏≮⫘↔1110110101110=≮⫘↔-1","layer":3},{"info":"↓⇌≮⫘↔-1=≮⫘↔-10","layer":2},{"info":"≮⫘↔100000111001100000*≮⫘↔-10=≮⫘↔-1000001110011000000","layer":1},{"info":"≮⫘↔111000010⨐≮⫘↔-1000001110011000000=≮⫘↔-1110000100","layer":0}]}
{"id":337,"expression_no_base_symbol":"(⨵≀≌(⊁⨺$2600$)⨪↰⇹$1084$⇡⇂$5272$)⨥⫆(⪡⇡≛((⋂$8058$)≨($1241$⨐⩸⫘$1010$)))","expression":"(⨵≀≌(⊁⨺≮⫘↔101000101000)⨪↰⇹≮⫘↔10000111100⇡⇂≮⫘↔1010010011000)⨥⫆(⪡⇡≛((⋂≮⫘↔1111101111010)≨(≮⫘↔10011011001⨐⩸⫘≮⫘↔1111110010)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":709652,"operation_count":9,"complexity_ratio":78850.22222222222,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2600,"base":2}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1084,"base":2},"right_expr":{"type":"numeric_atoms","value":5272,"base":2}}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":8058,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1241,"base":2},"right_expr":{"type":"numeric_atoms","value":1010,"base":2}}}}},"used_operators":["yXekIHxTD4","srAu1WTS94","tmPS8pqC7x","PxiHyQbrIp","UMwdvZNt44","qL4PrbW1Dq","0KMCeP1Jsh","BUOGQAYlQx","fu6greOZ01"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rJVOvQCfKK","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","3ViojmjbAp"],"result":"≮⫘↔-1","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2600","layer":4},{"info":"compute unary expreesion, input=2600, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=5272","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=5272, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":1},{"info":"number node, value=8058","layer":4},{"info":"compute unary expreesion, input=8058, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-112216","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=1010, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-112216, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=225088","layer":2},{"info":"compute unary expreesion, input=225088, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-225088","layer":1},{"info":"compute binary expreesion, left_input=25600, right_input=-225088, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":2,"result_base":2,"text":"(⨵≀≌(⊁⨺≮⫘↔101000101000)⨪↰⇹≮⫘↔10000111100⇡⇂≮⫘↔1010010011000)⨥⫆(⪡⇡≛((⋂≮⫘↔1111101111010)≨(≮⫘↔10011011001⨐⩸⫘≮⫘↔1111110010)))=≮⫘↔-1","reverse_text":"≮⫘↔-1=(⨵≀≌(⊁⨺≮⫘↔101000101000)⨪↰⇹≮⫘↔10000111100⇡⇂≮⫘↔1010010011000)⨥⫆(⪡⇡≛((⋂≮⫘↔1111101111010)≨(≮⫘↔10011011001⨐⩸⫘≮⫘↔1111110010)))","cot":[{"info":"⊁⨺≮⫘↔101000101000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10000111100⇡⇂≮⫘↔1010010011000=NaN","layer":3},{"info":"≮⫘↔10100000⨪↰⇹NaN=≮⫘↔10100000","layer":2},{"info":"⨵≀≌≮⫘↔10100000=≮⫘↔110010000000000","layer":1},{"info":"⋂≮⫘↔1111101111010=≮⫘↔-11011011001011000","layer":3},{"info":"≮⫘↔10011011001⨐⩸⫘≮⫘↔1111110010=NaN","layer":3},{"info":"≮⫘↔-11011011001011000≨NaN=≮⫘↔110110111101000000","layer":2},{"info":"⪡⇡≛≮⫘↔110110111101000000=≮⫘↔-110110111101000000","layer":1},{"info":"≮⫘↔110010000000000⨥⫆≮⫘↔-110110111101000000=≮⫘↔-1","layer":0}]}
{"id":338,"expression_no_base_symbol":"(∂$2782$⇷$3981$)∥⊢⊲($2366$⫸⇳$1601$≀⩗∶$4627$≹⇙⪍$2102$)-(↨(↘$4081$))∓⋝($3022$⨔≚≋$1298$⨑≵⋬$3139$↞⋁$1664$)","expression":"(∂≮⫘↔101011011110⇷≮⫘↔111110001101)∥⊢⊲(≮⫘↔100100111110⫸⇳≮⫘↔11001000001≀⩗∶≮⫘↔1001000010011≹⇙⪍≮⫘↔100000110110)-(↨(↘≮⫘↔111111110001))∓⋝(≮⫘↔101111001110⨔≚≋≮⫘↔10100010010⨑≵⋬≮⫘↔110001000011↞⋁≮⫘↔11010000000)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40545,"operation_count":13,"complexity_ratio":3118.846153846154,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2782,"base":2},"right_expr":{"type":"numeric_atoms","value":3981,"base":2}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2366,"base":2},"right_expr":{"type":"numeric_atoms","value":1601,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4627,"base":2},"right_expr":{"type":"numeric_atoms","value":2102,"base":2}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":4081,"base":2}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3022,"base":2},"right_expr":{"type":"numeric_atoms","value":1298,"base":2}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3139,"base":2},"right_expr":{"type":"numeric_atoms","value":1664,"base":2}}}}},"used_operators":["rysDP5nf3Z","v1UQAVDJRr","Uaa54Peajs","mp7IySMOzn","8INZBEW696","gx7XJ7hdpj","AHs5Up7iyr","PoHhknlbAi","jiX4gk2v2Q","LdNpr8hQHL","XnXgA4xnOs","Z57zeUYC9z","RqrPlJkxDo"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","dWAJyo7jo9","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rGHVDoGpnC","oZj3VtZNQx","uFcxV4UQCh","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2782","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=3981, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7962","layer":3},{"info":"compute unary expreesion, input=7962, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=2366","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=1601, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=4627","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=4627, right_input=2102, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=4081","layer":4},{"info":"compute unary expreesion, input=4081, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=161","layer":3},{"info":"compute unary expreesion, input=161, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":2},{"info":"number node, value=3022","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=1298, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=3139","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=1664, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=121, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∂≮⫘↔101011011110⇷≮⫘↔111110001101)∥⊢⊲(≮⫘↔100100111110⫸⇳≮⫘↔11001000001≀⩗∶≮⫘↔1001000010011≹⇙⪍≮⫘↔100000110110)-(↨(↘≮⫘↔111111110001))∓⋝(≮⫘↔101111001110⨔≚≋≮⫘↔10100010010⨑≵⋬≮⫘↔110001000011↞⋁≮⫘↔11010000000)=NaN","reverse_text":"NaN=(∂≮⫘↔101011011110⇷≮⫘↔111110001101)∥⊢⊲(≮⫘↔100100111110⫸⇳≮⫘↔11001000001≀⩗∶≮⫘↔1001000010011≹⇙⪍≮⫘↔100000110110)-(↨(↘≮⫘↔111111110001))∓⋝(≮⫘↔101111001110⨔≚≋≮⫘↔10100010010⨑≵⋬≮⫘↔110001000011↞⋁≮⫘↔11010000000)","cot":[{"info":"≮⫘↔101011011110⇷≮⫘↔111110001101=≮⫘↔1111100011010","layer":3},{"info":"∂≮⫘↔1111100011010=NaN","layer":2},{"info":"≮⫘↔100100111110⫸⇳≮⫘↔11001000001=≮⫘↔0","layer":3},{"info":"≮⫘↔1001000010011≹⇙⪍≮⫘↔100000110110=NaN","layer":3},{"info":"≮⫘↔0≀⩗∶NaN=NaN","layer":2},{"info":"NaN∥⊢⊲NaN=NaN","layer":1},{"info":"↘≮⫘↔111111110001=≮⫘↔10100001","layer":3},{"info":"↨≮⫘↔10100001=≮⫘↔0","layer":2},{"info":"≮⫘↔101111001110⨔≚≋≮⫘↔10100010010=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔110001000011↞⋁≮⫘↔11010000000=NaN","layer":3},{"info":"≮⫘↔10011010010000⨑≵⋬NaN=NaN","layer":2},{"info":"≮⫘↔0∓⋝NaN=≮⫘↔1111001","layer":1},{"info":"NaN-≮⫘↔1111001=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"(⋗⩬⋾($1818$⨸$5047$↪⪝))⩚⊴⇥(($4821$⨳⩥⨓$2261$)↞⋁($6804$⊅)⪭≯(($5175$⩎⪣⊞)∐⫣))","expression":"(⋗⩬⋾(≮⫘↔11100011010⨸≮⫘↔1001110110111↪⪝))⩚⊴⇥((≮⫘↔1001011010101⨳⩥⨓≮⫘↔100011010101)↞⋁(≮⫘↔1101010010100⊅)⪭≯((≮⫘↔1010000110111⩎⪣⊞)∐⫣))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":81486,"operation_count":10,"complexity_ratio":8148.6,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1818,"base":2},"right_expr":{"type":"numeric_atoms","value":5047,"base":2}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4821,"base":2},"right_expr":{"type":"numeric_atoms","value":2261,"base":2}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":6804,"base":2}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":5175,"base":2}}}}},"used_operators":["NTOWxs364D","DpFCA1CohY","l07mrZUIn9","KmoU8R5UQR","XAx5wpdLa6","RqrPlJkxDo","nCS4ZIUYfx","7p6YLioM7f","4CyGpkTkEk","waWucp1uQ4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","rysDP5nf3Z","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1818","layer":4},{"info":"number node, value=5047","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=5047, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3636","layer":3},{"info":"compute unary expreesion, input=3636, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=222457752","layer":2},{"info":"compute unary expreesion, input=222457752, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-667373256","layer":1},{"info":"number node, value=4821","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=2261, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2560","layer":3},{"info":"number node, value=6804","layer":4},{"info":"compute unary expreesion, input=6804, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=-2560, right_input=-174, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-2560","layer":2},{"info":"number node, value=5175","layer":4},{"info":"compute unary expreesion, input=5175, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=10350","layer":3},{"info":"compute unary expreesion, input=10350, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":2},{"info":"compute binary expreesion, left_input=-2560, right_input=551, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-667373256, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾(≮⫘↔11100011010⨸≮⫘↔1001110110111↪⪝))⩚⊴⇥((≮⫘↔1001011010101⨳⩥⨓≮⫘↔100011010101)↞⋁(≮⫘↔1101010010100⊅)⪭≯((≮⫘↔1010000110111⩎⪣⊞)∐⫣))=NaN","reverse_text":"NaN=(⋗⩬⋾(≮⫘↔11100011010⨸≮⫘↔1001110110111↪⪝))⩚⊴⇥((≮⫘↔1001011010101⨳⩥⨓≮⫘↔100011010101)↞⋁(≮⫘↔1101010010100⊅)⪭≯((≮⫘↔1010000110111⩎⪣⊞)∐⫣))","cot":[{"info":"≮⫘↔11100011010⨸≮⫘↔1001110110111=≮⫘↔111000110100","layer":3},{"info":"≮⫘↔111000110100↪⪝=≮⫘↔1101010000100110111110011000","layer":2},{"info":"⋗⩬⋾≮⫘↔1101010000100110111110011000=≮⫘↔-100111110001110100111011001000","layer":1},{"info":"≮⫘↔1001011010101⨳⩥⨓≮⫘↔100011010101=≮⫘↔-101000000000","layer":3},{"info":"≮⫘↔1101010010100⊅=≮⫘↔-10101110","layer":3},{"info":"≮⫘↔-101000000000↞⋁≮⫘↔-10101110=≮⫘↔-101000000000","layer":2},{"info":"≮⫘↔1010000110111⩎⪣⊞=≮⫘↔10100001101110","layer":3},{"info":"≮⫘↔10100001101110∐⫣=≮⫘↔1000100111","layer":2},{"info":"≮⫘↔-101000000000⪭≯≮⫘↔1000100111=NaN","layer":1},{"info":"≮⫘↔-100111110001110100111011001000⩚⊴⇥NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"(⨈⪑(⨴⫝$4298$)↳∿⪆($5632$⪨⊡$2600$))∥⊢⊲((⩪∧⨌$1425$)⩚⊴⇥$1844$∘$4264$)↹⊜((⪡⇡≛$2298$)∛$7101$↹⊜$2845$)","expression":"(⨈⪑(⨴⫝≮⫘↔1000011001010)↳∿⪆(≮⫘↔1011000000000⪨⊡≮⫘↔101000101000))∥⊢⊲((⩪∧⨌≮⫘↔10110010001)⩚⊴⇥≮⫘↔11100110100∘≮⫘↔1000010101000)↹⊜((⪡⇡≛≮⫘↔100011111010)∛≮⫘↔1101110111101↹⊜≮⫘↔101100011101)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4450,"operation_count":12,"complexity_ratio":370.8333333333333,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":4298,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5632,"base":2},"right_expr":{"type":"numeric_atoms","value":2600,"base":2}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1425,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1844,"base":2},"right_expr":{"type":"numeric_atoms","value":4264,"base":2}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":2298,"base":2}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":7101,"base":2},"right_expr":{"type":"numeric_atoms","value":2845,"base":2}}}}},"used_operators":["v1UQAVDJRr","mp94q5OcYM","Cw4SuJJGHO","SVb2v531z1","kuIXHzHcAH","9bazX3JMtO","NTOWxs364D","6iOiAJX1F8","Z5m6OM72h2","w2537kitQq","qL4PrbW1Dq"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eH2TOUuTDT","rysDP5nf3Z","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"≮⫘↔1010011000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4298","layer":4},{"info":"compute unary expreesion, input=4298, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=5632","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=2600, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=0, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":1},{"info":"number node, value=1425","layer":4},{"info":"compute unary expreesion, input=1425, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=14250","layer":3},{"info":"number node, value=1844","layer":4},{"info":"number node, value=4264","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=4264, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3688","layer":3},{"info":"compute binary expreesion, left_input=14250, right_input=3688, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-18059","layer":2},{"info":"number node, value=2298","layer":4},{"info":"compute unary expreesion, input=2298, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2298","layer":3},{"info":"number node, value=7101","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=7101, right_input=2845, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=2726","layer":3},{"info":"compute binary expreesion, left_input=-2298, right_input=2726, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=-18059, right_input=-676, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5312","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5312, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=5312","layer":0}],"base":2,"result_base":2,"text":"(⨈⪑(⨴⫝≮⫘↔1000011001010)↳∿⪆(≮⫘↔1011000000000⪨⊡≮⫘↔101000101000))∥⊢⊲((⩪∧⨌≮⫘↔10110010001)⩚⊴⇥≮⫘↔11100110100∘≮⫘↔1000010101000)↹⊜((⪡⇡≛≮⫘↔100011111010)∛≮⫘↔1101110111101↹⊜≮⫘↔101100011101)=≮⫘↔1010011000000","reverse_text":"≮⫘↔1010011000000=(⨈⪑(⨴⫝≮⫘↔1000011001010)↳∿⪆(≮⫘↔1011000000000⪨⊡≮⫘↔101000101000))∥⊢⊲((⩪∧⨌≮⫘↔10110010001)⩚⊴⇥≮⫘↔11100110100∘≮⫘↔1000010101000)↹⊜((⪡⇡≛≮⫘↔100011111010)∛≮⫘↔1101110111101↹⊜≮⫘↔101100011101)","cot":[{"info":"⨴⫝≮⫘↔1000011001010=≮⫘↔1010110010011110100110","layer":3},{"info":"≮⫘↔1011000000000⪨⊡≮⫘↔101000101000=≮⫘↔0","layer":3},{"info":"≮⫘↔1010110010011110100110↳∿⪆≮⫘↔0=NaN","layer":2},{"info":"⨈⪑NaN=NaN","layer":1},{"info":"⩪∧⨌≮⫘↔10110010001=≮⫘↔11011110101010","layer":3},{"info":"≮⫘↔11100110100∘≮⫘↔1000010101000=≮⫘↔111001101000","layer":3},{"info":"≮⫘↔11011110101010⩚⊴⇥≮⫘↔111001101000=≮⫘↔-100011010001011","layer":2},{"info":"⪡⇡≛≮⫘↔100011111010=≮⫘↔-100011111010","layer":3},{"info":"≮⫘↔1101110111101↹⊜≮⫘↔101100011101=≮⫘↔101010100110","layer":3},{"info":"≮⫘↔-100011111010∛≮⫘↔101010100110=≮⫘↔-1010100100","layer":2},{"info":"≮⫘↔-100011010001011↹⊜≮⫘↔-1010100100=≮⫘↔1010011000000","layer":1},{"info":"NaN∥⊢⊲≮⫘↔1010011000000=≮⫘↔1010011000000","layer":0}]}
{"id":341,"expression_no_base_symbol":"(∤$6662$⊋≦⊧$5023$)↬($2764$-$3382$)⩼⇪↪($1653$∖$5202$)⪶≀⋏(⨑⩽⪐($2586$⋻⩜⩜$1258$))⨸($1068$⫁$1839$≓∲$4663$⩺⪪$4724$)","expression":"(∤≮⫘↔1101000000110⊋≦⊧≮⫘↔1001110011111)↬(≮⫘↔101011001100-≮⫘↔110100110110)⩼⇪↪(≮⫘↔11001110101∖≮⫘↔1010001010010)⪶≀⋏(⨑⩽⪐(≮⫘↔101000011010⋻⩜⩜≮⫘↔10011101010))⨸(≮⫘↔10000101100⫁≮⫘↔11100101111≓∲≮⫘↔1001000110111⩺⪪≮⫘↔1001001110100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23549,"operation_count":13,"complexity_ratio":1811.4615384615386,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":6662,"base":2},"right_expr":{"type":"numeric_atoms","value":5023,"base":2}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2764,"base":2},"right_expr":{"type":"numeric_atoms","value":3382,"base":2}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1653,"base":2},"right_expr":{"type":"numeric_atoms","value":5202,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2586,"base":2},"right_expr":{"type":"numeric_atoms","value":1258,"base":2}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1068,"base":2},"right_expr":{"type":"numeric_atoms","value":1839,"base":2}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4663,"base":2},"right_expr":{"type":"numeric_atoms","value":4724,"base":2}}}}},"used_operators":["zR4jO40bMj","B5M0gjZbta","k2HlF1dBQh","oRDoc9rAEX","ocnLzx9CaJ","rysDP5nf3Z","tXD093vOjl","KmoU8R5UQR","AF7qkfDlqP","oDCm7WA9JY","s1XTVnmDOJ","0ajvFaJAv0","uvdQJvN4PV"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","cHh1gJQ2o6","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6662","layer":4},{"info":"number node, value=5023","layer":4},{"info":"compute binary expreesion, left_input=6662, right_input=5023, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-9806","layer":3},{"info":"compute unary expreesion, input=-9806, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=2764","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=3382, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-618","layer":3},{"info":"number node, value=1653","layer":4},{"info":"number node, value=5202","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=5202, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-618, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2019","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=-2019, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2586","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=1258, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5172","layer":3},{"info":"compute unary expreesion, input=5172, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4899","layer":2},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1839, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4663","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=4663, right_input=4724, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1914, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=2383","layer":2},{"info":"compute binary expreesion, left_input=-4899, right_input=2383, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9798","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9798, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∤≮⫘↔1101000000110⊋≦⊧≮⫘↔1001110011111)↬(≮⫘↔101011001100-≮⫘↔110100110110)⩼⇪↪(≮⫘↔11001110101∖≮⫘↔1010001010010)⪶≀⋏(⨑⩽⪐(≮⫘↔101000011010⋻⩜⩜≮⫘↔10011101010))⨸(≮⫘↔10000101100⫁≮⫘↔11100101111≓∲≮⫘↔1001000110111⩺⪪≮⫘↔1001001110100)=NaN","reverse_text":"NaN=(∤≮⫘↔1101000000110⊋≦⊧≮⫘↔1001110011111)↬(≮⫘↔101011001100-≮⫘↔110100110110)⩼⇪↪(≮⫘↔11001110101∖≮⫘↔1010001010010)⪶≀⋏(⨑⩽⪐(≮⫘↔101000011010⋻⩜⩜≮⫘↔10011101010))⨸(≮⫘↔10000101100⫁≮⫘↔11100101111≓∲≮⫘↔1001000110111⩺⪪≮⫘↔1001001110100)","cot":[{"info":"≮⫘↔1101000000110⊋≦⊧≮⫘↔1001110011111=≮⫘↔-10011001001110","layer":3},{"info":"∤≮⫘↔-10011001001110=≮⫘↔1001","layer":2},{"info":"≮⫘↔101011001100-≮⫘↔110100110110=≮⫘↔-1001101010","layer":3},{"info":"≮⫘↔11001110101∖≮⫘↔1010001010010=≮⫘↔0","layer":3},{"info":"≮⫘↔-1001101010⩼⇪↪≮⫘↔0=≮⫘↔-11111100011","layer":2},{"info":"≮⫘↔1001↬≮⫘↔-11111100011=NaN","layer":1},{"info":"≮⫘↔101000011010⋻⩜⩜≮⫘↔10011101010=≮⫘↔1010000110100","layer":3},{"info":"⨑⩽⪐≮⫘↔1010000110100=≮⫘↔-1001100100011","layer":2},{"info":"≮⫘↔10000101100⫁≮⫘↔11100101111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1001000110111⩺⪪≮⫘↔1001001110100=≮⫘↔11101111010","layer":3},{"info":"≮⫘↔10100000≓∲≮⫘↔11101111010=≮⫘↔100101001111","layer":2},{"info":"≮⫘↔-1001100100011⨸≮⫘↔100101001111=≮⫘↔10011001000110","layer":1},{"info":"NaN⪶≀⋏≮⫘↔10011001000110=NaN","layer":0}]}
{"id":342,"expression_no_base_symbol":"↴⪽⋼(↣≠⋷(≇⪴$2771$))≎⊠⪸($8250$↱$3869$)⋾⨃∁($1047$⫰⋱$3127$)","expression":"↴⪽⋼(↣≠⋷(≇⪴≮⫘↔101011010011))≎⊠⪸(≮⫘↔10000000111010↱≮⫘↔111100011101)⋾⨃∁(≮⫘↔10000010111⫰⋱≮⫘↔110000110111)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":233,"operation_count":7,"complexity_ratio":33.285714285714285,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2771,"base":2}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":8250,"base":2},"right_expr":{"type":"numeric_atoms","value":3869,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1047,"base":2},"right_expr":{"type":"numeric_atoms","value":3127,"base":2}}}}},"used_operators":["5TUYCnJO6w","bJkvcejdHO","Asc51vEJeQ","zoVPnxeHJ3","212REbPD9h","SR5kFfdi6N","6o9Blt3TJ6"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2771","layer":4},{"info":"compute unary expreesion, input=2771, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6973","layer":3},{"info":"compute unary expreesion, input=-6973, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=8250","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=8250, right_input=3869, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-11085","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=3127, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1014","layer":3},{"info":"compute binary expreesion, left_input=-11085, right_input=-1014, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↴⪽⋼(↣≠⋷(≇⪴≮⫘↔101011010011))≎⊠⪸(≮⫘↔10000000111010↱≮⫘↔111100011101)⋾⨃∁(≮⫘↔10000010111⫰⋱≮⫘↔110000110111)=NaN","reverse_text":"NaN=↴⪽⋼(↣≠⋷(≇⪴≮⫘↔101011010011))≎⊠⪸(≮⫘↔10000000111010↱≮⫘↔111100011101)⋾⨃∁(≮⫘↔10000010111⫰⋱≮⫘↔110000110111)","cot":[{"info":"≇⪴≮⫘↔101011010011=≮⫘↔-1101100111101","layer":3},{"info":"↣≠⋷≮⫘↔-1101100111101=NaN","layer":2},{"info":"≮⫘↔10000000111010↱≮⫘↔111100011101=≮⫘↔-10101101001101","layer":3},{"info":"≮⫘↔10000010111⫰⋱≮⫘↔110000110111=≮⫘↔-1111110110","layer":3},{"info":"≮⫘↔-10101101001101⋾⨃∁≮⫘↔-1111110110=≮⫘↔10100000","layer":2},{"info":"NaN≎⊠⪸≮⫘↔10100000=NaN","layer":1},{"info":"↴⪽⋼NaN=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"((⩎⋉$3975$⇡⇂$2763$)⇆⨓≜)∪⫐($1856$⨚⇆$4474$)⇻⋧≁($3768$⩹$4724$)≦↸((≀↧⇸$4081$)⊋≦⊧(⋼∭⪍$3496$))","expression":"((⩎⋉≮⫘↔111110000111⇡⇂≮⫘↔101011001011)⇆⨓≜)∪⫐(≮⫘↔11101000000⨚⇆≮⫘↔1000101111010)⇻⋧≁(≮⫘↔111010111000⩹≮⫘↔1001001110100)≦↸((≀↧⇸≮⫘↔111111110001)⊋≦⊧(⋼∭⪍≮⫘↔110110101000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27050,"operation_count":11,"complexity_ratio":2459.090909090909,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3975,"base":2},"right_expr":{"type":"numeric_atoms","value":2763,"base":2}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1856,"base":2},"right_expr":{"type":"numeric_atoms","value":4474,"base":2}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3768,"base":2},"right_expr":{"type":"numeric_atoms","value":4724,"base":2}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":4081,"base":2}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3496,"base":2}}}}},"used_operators":["7YooWSwCyH","KvvgdUaMHJ","FlXk3pOYe8","UMwdvZNt44","RygbFNSyEJ","jCPkEVoL5K","lwHaAYXP2r","2Wsdkap16l","oRDoc9rAEX","ljTHtUsqzn","DbCuESL50I"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","Uaa54Peajs","KYD54nUTWz","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","XPYlsWDdGa","23Mk6UjR3U","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3975","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=3975, right_input=2763, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"number node, value=1856","layer":4},{"info":"number node, value=4474","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=4474, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3768","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=4724, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=4722","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4722, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"number node, value=4081","layer":4},{"info":"compute unary expreesion, input=4081, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8162","layer":3},{"info":"number node, value=3496","layer":4},{"info":"compute unary expreesion, input=3496, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-12244","layer":3},{"info":"compute binary expreesion, left_input=8162, right_input=-12244, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=24728","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24728, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⩎⋉≮⫘↔111110000111⇡⇂≮⫘↔101011001011)⇆⨓≜)∪⫐(≮⫘↔11101000000⨚⇆≮⫘↔1000101111010)⇻⋧≁(≮⫘↔111010111000⩹≮⫘↔1001001110100)≦↸((≀↧⇸≮⫘↔111111110001)⊋≦⊧(⋼∭⪍≮⫘↔110110101000))=NaN","reverse_text":"NaN=((⩎⋉≮⫘↔111110000111⇡⇂≮⫘↔101011001011)⇆⨓≜)∪⫐(≮⫘↔11101000000⨚⇆≮⫘↔1000101111010)⇻⋧≁(≮⫘↔111010111000⩹≮⫘↔1001001110100)≦↸((≀↧⇸≮⫘↔111111110001)⊋≦⊧(⋼∭⪍≮⫘↔110110101000))","cot":[{"info":"≮⫘↔111110000111⇡⇂≮⫘↔101011001011=NaN","layer":3},{"info":"⩎⋉NaN=NaN","layer":2},{"info":"NaN⇆⨓≜=NaN","layer":1},{"info":"≮⫘↔11101000000⨚⇆≮⫘↔1000101111010=NaN","layer":3},{"info":"≮⫘↔111010111000⩹≮⫘↔1001001110100=≮⫘↔1001001110010","layer":3},{"info":"NaN⇻⋧≁≮⫘↔1001001110010=NaN","layer":2},{"info":"≀↧⇸≮⫘↔111111110001=≮⫘↔1111111100010","layer":3},{"info":"⋼∭⪍≮⫘↔110110101000=≮⫘↔-10111111010100","layer":3},{"info":"≮⫘↔1111111100010⊋≦⊧≮⫘↔-10111111010100=≮⫘↔110000010011000","layer":2},{"info":"NaN≦↸≮⫘↔110000010011000=NaN","layer":1},{"info":"NaN∪⫐NaN=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"($5266$⪢$2689$⇷$3449$↳∿⪆$1306$⫦⪉(($4917$⇩)⩅⪻⪻))⪮%⊝($1094$⨽∌$1338$⨟⋌⩍(⩪∧⨌$3118$))⩌⋺(($3735$⊴⇁⪶)⇚⪠)","expression":"(≮⫘↔1010010010010⪢≮⫘↔101010000001⇷≮⫘↔110101111001↳∿⪆≮⫘↔10100011010⫦⪉((≮⫘↔1001100110101⇩)⩅⪻⪻))⪮%⊝(≮⫘↔10001000110⨽∌≮⫘↔10100111010⨟⋌⩍(⩪∧⨌≮⫘↔110000101110))⩌⋺((≮⫘↔111010010111⊴⇁⪶)⇚⪠)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":86398,"operation_count":13,"complexity_ratio":6646.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5266,"base":2},"right_expr":{"type":"numeric_atoms","value":2689,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3449,"base":2},"right_expr":{"type":"numeric_atoms","value":1306,"base":2}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":4917,"base":2}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1094,"base":2},"right_expr":{"type":"numeric_atoms","value":1338,"base":2}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":3118,"base":2}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":3735,"base":2}}}}},"used_operators":["IWmyXbctLI","wscyQdcy20","mp7IySMOzn","dWAJyo7jo9","Cw4SuJJGHO","kHoXpA7yos","vRio1gEz1j","g7Hmc5v1ko","rGHVDoGpnC","9samAPKr6k","6iOiAJX1F8","Loh9y4A90B","oo9mF6JIpo"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Tcnh7f0tEr","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5266","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=5266, right_input=2689, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3449","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=3449, right_input=1306, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=4917","layer":4},{"info":"compute unary expreesion, input=4917, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=5010","layer":3},{"info":"compute unary expreesion, input=5010, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-740905","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-740905, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"number node, value=1094","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1338, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3118","layer":4},{"info":"compute unary expreesion, input=3118, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=31180","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=31180, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3735","layer":4},{"info":"compute unary expreesion, input=3735, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=74492","layer":3},{"info":"compute unary expreesion, input=74492, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010010010010⪢≮⫘↔101010000001⇷≮⫘↔110101111001↳∿⪆≮⫘↔10100011010⫦⪉((≮⫘↔1001100110101⇩)⩅⪻⪻))⪮%⊝(≮⫘↔10001000110⨽∌≮⫘↔10100111010⨟⋌⩍(⩪∧⨌≮⫘↔110000101110))⩌⋺((≮⫘↔111010010111⊴⇁⪶)⇚⪠)=NaN","reverse_text":"NaN=(≮⫘↔1010010010010⪢≮⫘↔101010000001⇷≮⫘↔110101111001↳∿⪆≮⫘↔10100011010⫦⪉((≮⫘↔1001100110101⇩)⩅⪻⪻))⪮%⊝(≮⫘↔10001000110⨽∌≮⫘↔10100111010⨟⋌⩍(⩪∧⨌≮⫘↔110000101110))⩌⋺((≮⫘↔111010010111⊴⇁⪶)⇚⪠)","cot":[{"info":"≮⫘↔1010010010010⪢≮⫘↔101010000001=NaN","layer":3},{"info":"≮⫘↔110101111001↳∿⪆≮⫘↔10100011010=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"≮⫘↔1001100110101⇩=≮⫘↔1001110010010","layer":3},{"info":"≮⫘↔1001110010010⩅⪻⪻=≮⫘↔-10110100111000101001","layer":2},{"info":"NaN⫦⪉≮⫘↔-10110100111000101001=NaN","layer":1},{"info":"≮⫘↔10001000110⨽∌≮⫘↔10100111010=≮⫘↔0","layer":3},{"info":"⩪∧⨌≮⫘↔110000101110=≮⫘↔111100111001100","layer":3},{"info":"≮⫘↔0⨟⋌⩍≮⫘↔111100111001100=NaN","layer":2},{"info":"≮⫘↔111010010111⊴⇁⪶=≮⫘↔10010001011111100","layer":3},{"info":"≮⫘↔10010001011111100⇚⪠=Inf","layer":2},{"info":"NaN⩌⋺Inf=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"⫟(↴⪽⋼(∓(↩$9168$)))","expression":"⫟(↴⪽⋼(∓(↩≮⫘↔10001111010000)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":74,"operation_count":4,"complexity_ratio":18.5,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":9168,"base":2}}}}},"used_operators":["z4E1FaHLuy","5TUYCnJO6w","OwUj7dcsQK","jLgFTUHLKL"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"≮⫘↔-1100000011011100110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9168","layer":4},{"info":"compute unary expreesion, input=9168, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-70564","layer":3},{"info":"compute unary expreesion, input=-70564, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=1053588","layer":2},{"info":"compute unary expreesion, input=1053588, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1053588","layer":1},{"info":"compute unary expreesion, input=1053588, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-3159857","layer":0}],"base":2,"result_base":2,"text":"⫟(↴⪽⋼(∓(↩≮⫘↔10001111010000)))=≮⫘↔-1100000011011100110001","reverse_text":"≮⫘↔-1100000011011100110001=⫟(↴⪽⋼(∓(↩≮⫘↔10001111010000)))","cot":[{"info":"↩≮⫘↔10001111010000=≮⫘↔-10001001110100100","layer":3},{"info":"∓≮⫘↔-10001001110100100=≮⫘↔100000001001110010100","layer":2},{"info":"↴⪽⋼≮⫘↔100000001001110010100=≮⫘↔100000001001110010100","layer":1},{"info":"⫟≮⫘↔100000001001110010100=≮⫘↔-1100000011011100110001","layer":0}]}
{"id":346,"expression_no_base_symbol":"↩($5524$≄⊠$3147$⊜)+⪬∐($2922$⊮⊟↴$4167$⊋≦⊧$1063$∘$2295$)","expression":"↩(≮⫘↔1010110010100≄⊠≮⫘↔110001001011⊜)+⪬∐(≮⫘↔101101101010⊮⊟↴≮⫘↔1000001000111⊋≦⊧≮⫘↔10000100111∘≮⫘↔100011110111)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":152,"operation_count":7,"complexity_ratio":21.714285714285715,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5524,"base":2},"right_expr":{"type":"numeric_atoms","value":3147,"base":2}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2922,"base":2},"right_expr":{"type":"numeric_atoms","value":4167,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":2295,"base":2}}}}},"used_operators":["jLgFTUHLKL","2GS7woTJqF","Eev2Q7dYIw","vXNesLlMH1","oRDoc9rAEX","QDVgd2eftb","Z5m6OM72h2"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","g55IO6H4Gj","D4vGDi5EA2","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z"],"result":"≮⫘↔-10011111110101011100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5524","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=5524, right_input=3147, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=55020","layer":3},{"info":"compute unary expreesion, input=55020, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-218344","layer":2},{"info":"number node, value=2922","layer":4},{"info":"number node, value=4167","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=4167, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2295, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2126","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2126, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=-218344, right_input=192, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=655032","layer":1},{"info":"compute unary expreesion, input=655032, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5237476","layer":0}],"base":2,"result_base":2,"text":"↩(≮⫘↔1010110010100≄⊠≮⫘↔110001001011⊜)+⪬∐(≮⫘↔101101101010⊮⊟↴≮⫘↔1000001000111⊋≦⊧≮⫘↔10000100111∘≮⫘↔100011110111)=≮⫘↔-10011111110101011100100","reverse_text":"≮⫘↔-10011111110101011100100=↩(≮⫘↔1010110010100≄⊠≮⫘↔110001001011⊜)+⪬∐(≮⫘↔101101101010⊮⊟↴≮⫘↔1000001000111⊋≦⊧≮⫘↔10000100111∘≮⫘↔100011110111)","cot":[{"info":"≮⫘↔1010110010100≄⊠≮⫘↔110001001011=≮⫘↔1101011011101100","layer":3},{"info":"≮⫘↔1101011011101100⊜=≮⫘↔-110101010011101000","layer":2},{"info":"≮⫘↔101101101010⊮⊟↴≮⫘↔1000001000111=≮⫘↔0","layer":3},{"info":"≮⫘↔10000100111∘≮⫘↔100011110111=≮⫘↔100001001110","layer":3},{"info":"≮⫘↔0⊋≦⊧≮⫘↔100001001110=≮⫘↔11000000","layer":2},{"info":"≮⫘↔-110101010011101000+⪬∐≮⫘↔11000000=≮⫘↔10011111111010111000","layer":1},{"info":"↩≮⫘↔10011111111010111000=≮⫘↔-10011111110101011100100","layer":0}]}
{"id":347,"expression_no_base_symbol":"((($1137$⫚↹⊑$2447$)⫃⨇$2988$∓⋝$3464$)⊴(∐⩳⋚(⋗⩴⪓$6126$)))↹⊜(((↣≠⋷$1783$)⪭($2438$⊾⪯⋞$5984$))∇⊂⋱(($4626$⪨≂$3554$)⪚$5004$↤⩊$3362$))","expression":"(((≮⫘↔10001110001⫚↹⊑≮⫘↔100110001111)⫃⨇≮⫘↔101110101100∓⋝≮⫘↔110110001000)⊴(∐⩳⋚(⋗⩴⪓≮⫘↔1011111101110)))↹⊜(((↣≠⋷≮⫘↔11011110111)⪭(≮⫘↔100110000110⊾⪯⋞≮⫘↔1011101100000))∇⊂⋱((≮⫘↔1001000010010⪨≂≮⫘↔110111100010)⪚≮⫘↔1001110001100↤⩊≮⫘↔110100100010))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6706,"operation_count":14,"complexity_ratio":479.0,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1137,"base":2},"right_expr":{"type":"numeric_atoms","value":2447,"base":2}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2988,"base":2},"right_expr":{"type":"numeric_atoms","value":3464,"base":2}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":6126,"base":2}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1783,"base":2}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2438,"base":2},"right_expr":{"type":"numeric_atoms","value":5984,"base":2}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4626,"base":2},"right_expr":{"type":"numeric_atoms","value":3554,"base":2}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5004,"base":2},"right_expr":{"type":"numeric_atoms","value":3362,"base":2}}}}},"used_operators":["9bazX3JMtO","Nsiff2A1zJ","09Ly4LVMIf","dfKe02y8D2","PoHhknlbAi","SL6IHkK8vl","nOKPl9n5zu","nhYeJWJD5X","j9kHMeSvPp","Asc51vEJeQ","HK0tfVPux8","HrjLwUk87U","sdazOOVcIp","13rbtpv6ld"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","COABgblf1C","xUOZtlo3hN","XhwjNDsVaA","AHs5Up7iyr","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1137","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=2447, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2988","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=2988, right_input=3464, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=67, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-300","layer":2},{"info":"number node, value=6126","layer":4},{"info":"compute unary expreesion, input=6126, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-5213","layer":3},{"info":"compute unary expreesion, input=-5213, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-1547708","layer":2},{"info":"compute binary expreesion, left_input=-300, right_input=-1547708, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2438","layer":4},{"info":"number node, value=5984","layer":4},{"info":"compute binary expreesion, left_input=2438, right_input=5984, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=11542","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11542, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=4626","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=3554, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2246","layer":3},{"info":"number node, value=5004","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=5004, right_input=3362, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2246, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10001110001⫚↹⊑≮⫘↔100110001111)⫃⨇≮⫘↔101110101100∓⋝≮⫘↔110110001000)⊴(∐⩳⋚(⋗⩴⪓≮⫘↔1011111101110)))↹⊜(((↣≠⋷≮⫘↔11011110111)⪭(≮⫘↔100110000110⊾⪯⋞≮⫘↔1011101100000))∇⊂⋱((≮⫘↔1001000010010⪨≂≮⫘↔110111100010)⪚≮⫘↔1001110001100↤⩊≮⫘↔110100100010))=NaN","reverse_text":"NaN=(((≮⫘↔10001110001⫚↹⊑≮⫘↔100110001111)⫃⨇≮⫘↔101110101100∓⋝≮⫘↔110110001000)⊴(∐⩳⋚(⋗⩴⪓≮⫘↔1011111101110)))↹⊜(((↣≠⋷≮⫘↔11011110111)⪭(≮⫘↔100110000110⊾⪯⋞≮⫘↔1011101100000))∇⊂⋱((≮⫘↔1001000010010⪨≂≮⫘↔110111100010)⪚≮⫘↔1001110001100↤⩊≮⫘↔110100100010))","cot":[{"info":"≮⫘↔10001110001⫚↹⊑≮⫘↔100110001111=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔101110101100∓⋝≮⫘↔110110001000=≮⫘↔1000011","layer":3},{"info":"≮⫘↔-110111111⫃⨇≮⫘↔1000011=≮⫘↔-100101100","layer":2},{"info":"⋗⩴⪓≮⫘↔1011111101110=≮⫘↔-1010001011101","layer":3},{"info":"∐⩳⋚≮⫘↔-1010001011101=≮⫘↔-101111001110110111100","layer":2},{"info":"≮⫘↔-100101100⊴≮⫘↔-101111001110110111100=NaN","layer":1},{"info":"↣≠⋷≮⫘↔11011110111=NaN","layer":3},{"info":"≮⫘↔100110000110⊾⪯⋞≮⫘↔1011101100000=≮⫘↔10110100010110","layer":3},{"info":"NaN⪭≮⫘↔10110100010110=≮⫘↔101","layer":2},{"info":"≮⫘↔1001000010010⪨≂≮⫘↔110111100010=≮⫘↔100011000110","layer":3},{"info":"≮⫘↔1001110001100↤⩊≮⫘↔110100100010=NaN","layer":3},{"info":"≮⫘↔100011000110⪚NaN=NaN","layer":2},{"info":"≮⫘↔101∇⊂⋱NaN=NaN","layer":1},{"info":"NaN↹⊜NaN=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"↸⊣($1268$⪃⊛⇣$1072$+⪬∐($6408$⨎⋸⪻)↸(⇘$1270$)⫢⨠$1365$⨚$2975$)","expression":"↸⊣(≮⫘↔10011110100⪃⊛⇣≮⫘↔10000110000+⪬∐(≮⫘↔1100100001000⨎⋸⪻)↸(⇘≮⫘↔10011110110)⫢⨠≮⫘↔10101010101⨚≮⫘↔101110011111)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3427,"operation_count":8,"complexity_ratio":428.375,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1268,"base":2},"right_expr":{"type":"numeric_atoms","value":1072,"base":2}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":6408,"base":2}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1270,"base":2}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1365,"base":2},"right_expr":{"type":"numeric_atoms","value":2975,"base":2}}}}},"used_operators":["wztAlM01eG","1eCjFl0mb9","2GS7woTJqF","rrgAzCduG9","Dk5vyLCiGd","xlXykHWxX1","MGuIdZPyUC","nREPSIbpBE"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","IWmyXbctLI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","BjRHVeLaeN","12rbrZMWeM"],"result":"≮⫘↔1110011101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1072, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=6408","layer":4},{"info":"compute unary expreesion, input=6408, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=13132","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=13132, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3702","layer":2},{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=70582","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=2975, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-8236","layer":3},{"info":"compute binary expreesion, left_input=70582, right_input=-8236, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-3702, right_input=160, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-3702","layer":1},{"info":"compute unary expreesion, input=-3702, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=7404","layer":0}],"base":2,"result_base":2,"text":"↸⊣(≮⫘↔10011110100⪃⊛⇣≮⫘↔10000110000+⪬∐(≮⫘↔1100100001000⨎⋸⪻)↸(⇘≮⫘↔10011110110)⫢⨠≮⫘↔10101010101⨚≮⫘↔101110011111)=≮⫘↔1110011101100","reverse_text":"≮⫘↔1110011101100=↸⊣(≮⫘↔10011110100⪃⊛⇣≮⫘↔10000110000+⪬∐(≮⫘↔1100100001000⨎⋸⪻)↸(⇘≮⫘↔10011110110)⫢⨠≮⫘↔10101010101⨚≮⫘↔101110011111)","cot":[{"info":"≮⫘↔10011110100⪃⊛⇣≮⫘↔10000110000=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1100100001000⨎⋸⪻=≮⫘↔11001101001100","layer":3},{"info":"≮⫘↔10011010010+⪬∐≮⫘↔11001101001100=≮⫘↔-111001110110","layer":2},{"info":"⇘≮⫘↔10011110110=≮⫘↔10001001110110110","layer":3},{"info":"≮⫘↔10101010101⨚≮⫘↔101110011111=≮⫘↔-10000000101100","layer":3},{"info":"≮⫘↔10001001110110110⫢⨠≮⫘↔-10000000101100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-111001110110↸≮⫘↔10100000=≮⫘↔-111001110110","layer":1},{"info":"↸⊣≮⫘↔-111001110110=≮⫘↔1110011101100","layer":0}]}
{"id":349,"expression_no_base_symbol":"(∐⩳⋚$4056$)⇍⊗($1877$↬$2494$)⪛($1576$⨌↪)⨥⫆(∂$1949$)⫢⨠(⪝⪂⫅(⋃$3389$))∘(⋼∭⪍$1035$⪚$4004$)","expression":"(∐⩳⋚≮⫘↔111111011000)⇍⊗(≮⫘↔11101010101↬≮⫘↔100110111110)⪛(≮⫘↔11000101000⨌↪)⨥⫆(∂≮⫘↔11110011101)⫢⨠(⪝⪂⫅(⋃≮⫘↔110100111101))∘(⋼∭⪍≮⫘↔10000001011⪚≮⫘↔111110100100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":484,"operation_count":13,"complexity_ratio":37.23076923076923,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":4056,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1877,"base":2},"right_expr":{"type":"numeric_atoms","value":2494,"base":2}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":1576,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1949,"base":2}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3389,"base":2}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1035,"base":2},"right_expr":{"type":"numeric_atoms","value":4004,"base":2}}}}},"used_operators":["xlXykHWxX1","uFcxV4UQCh","5uvYHDjeKN","SL6IHkK8vl","B5M0gjZbta","yXekIHxTD4","cWQsF5MvuD","Uaa54Peajs","Z5m6OM72h2","XTarYq4gQB","3mBM5G4a3l","DbCuESL50I","HrjLwUk87U"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","rGHVDoGpnC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eH2TOUuTDT","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","g55IO6H4Gj","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4056","layer":4},{"info":"compute unary expreesion, input=4056, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=594073","layer":3},{"info":"number node, value=1877","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=2494, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=594073, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"number node, value=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=1949","layer":4},{"info":"compute unary expreesion, input=1949, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=3389","layer":4},{"info":"compute unary expreesion, input=3389, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=6880","layer":3},{"info":"compute unary expreesion, input=6880, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1011360","layer":2},{"info":"number node, value=1035","layer":4},{"info":"number node, value=4004","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=4004, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-6294","layer":3},{"info":"compute unary expreesion, input=-6294, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-37662","layer":2},{"info":"compute binary expreesion, left_input=-1011360, right_input=-37662, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=1011740","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1011740, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∐⩳⋚≮⫘↔111111011000)⇍⊗(≮⫘↔11101010101↬≮⫘↔100110111110)⪛(≮⫘↔11000101000⨌↪)⨥⫆(∂≮⫘↔11110011101)⫢⨠(⪝⪂⫅(⋃≮⫘↔110100111101))∘(⋼∭⪍≮⫘↔10000001011⪚≮⫘↔111110100100)=NaN","reverse_text":"NaN=(∐⩳⋚≮⫘↔111111011000)⇍⊗(≮⫘↔11101010101↬≮⫘↔100110111110)⪛(≮⫘↔11000101000⨌↪)⨥⫆(∂≮⫘↔11110011101)⫢⨠(⪝⪂⫅(⋃≮⫘↔110100111101))∘(⋼∭⪍≮⫘↔10000001011⪚≮⫘↔111110100100)","cot":[{"info":"∐⩳⋚≮⫘↔111111011000=≮⫘↔10010001000010011001","layer":3},{"info":"≮⫘↔11101010101↬≮⫘↔100110111110=NaN","layer":3},{"info":"≮⫘↔10010001000010011001⇍⊗NaN=NaN","layer":2},{"info":"≮⫘↔11000101000⨌↪=≮⫘↔-111100000","layer":3},{"info":"∂≮⫘↔11110011101=NaN","layer":3},{"info":"≮⫘↔-111100000⨥⫆NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⋃≮⫘↔110100111101=≮⫘↔1101011100000","layer":3},{"info":"⪝⪂⫅≮⫘↔1101011100000=≮⫘↔-11110110111010100000","layer":2},{"info":"≮⫘↔10000001011⪚≮⫘↔111110100100=≮⫘↔-1100010010110","layer":3},{"info":"⋼∭⪍≮⫘↔-1100010010110=≮⫘↔-1001001100011110","layer":2},{"info":"≮⫘↔-11110110111010100000∘≮⫘↔-1001001100011110=≮⫘↔11110111000000011100","layer":1},{"info":"NaN⫢⨠≮⫘↔11110111000000011100=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"(∓⪦($2178$⪇≇⋚$1030$)↤⩊($6908$⩷∴$3901$))⪛⫼((⊤⊝$1822$)≎⊠⪸(≸≮$3286$))⋓(≑⋹($1072$∙∹∝$3224$))","expression":"(∓⪦(≮⫘↔100010000010⪇≇⋚≮⫘↔10000000110)↤⩊(≮⫘↔1101011111100⩷∴≮⫘↔111100111101))⪛⫼((⊤⊝≮⫘↔11100011110)≎⊠⪸(≸≮≮⫘↔110011010110))⋓(≑⋹(≮⫘↔10000110000∙∹∝≮⫘↔110010011000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10529,"operation_count":11,"complexity_ratio":957.1818181818181,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2178,"base":2},"right_expr":{"type":"numeric_atoms","value":1030,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6908,"base":2},"right_expr":{"type":"numeric_atoms","value":3901,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1822,"base":2}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3286,"base":2}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1072,"base":2},"right_expr":{"type":"numeric_atoms","value":3224,"base":2}}}}},"used_operators":["hyuBjUqXlG","D309nIvmXG","13rbtpv6ld","3sJ7IOPOlU","9FxExcQeMw","T2fj7uvVaJ","bJkvcejdHO","rXAclfmB4M","AljMvE3RRm","6B9nyZLogK","HmxsFra2vL"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"≮⫘↔1111001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2178","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=1030, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=6908","layer":4},{"info":"number node, value=3901","layer":4},{"info":"compute binary expreesion, left_input=6908, right_input=3901, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5982","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5982, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":1},{"info":"number node, value=1822","layer":4},{"info":"compute unary expreesion, input=1822, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2346","layer":3},{"info":"number node, value=3286","layer":4},{"info":"compute unary expreesion, input=3286, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2346, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=3224, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-694, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":2,"result_base":2,"text":"(∓⪦(≮⫘↔100010000010⪇≇⋚≮⫘↔10000000110)↤⩊(≮⫘↔1101011111100⩷∴≮⫘↔111100111101))⪛⫼((⊤⊝≮⫘↔11100011110)≎⊠⪸(≸≮≮⫘↔110011010110))⋓(≑⋹(≮⫘↔10000110000∙∹∝≮⫘↔110010011000))=≮⫘↔1111001000","reverse_text":"≮⫘↔1111001000=(∓⪦(≮⫘↔100010000010⪇≇⋚≮⫘↔10000000110)↤⩊(≮⫘↔1101011111100⩷∴≮⫘↔111100111101))⪛⫼((⊤⊝≮⫘↔11100011110)≎⊠⪸(≸≮≮⫘↔110011010110))⋓(≑⋹(≮⫘↔10000110000∙∹∝≮⫘↔110010011000))","cot":[{"info":"≮⫘↔100010000010⪇≇⋚≮⫘↔10000000110=≮⫘↔0","layer":3},{"info":"≮⫘↔1101011111100⩷∴≮⫘↔111100111101=≮⫘↔1011101011110","layer":3},{"info":"≮⫘↔0↤⩊≮⫘↔1011101011110=NaN","layer":2},{"info":"∓⪦NaN=NaN","layer":1},{"info":"⊤⊝≮⫘↔11100011110=≮⫘↔100100101010","layer":3},{"info":"≸≮≮⫘↔110011010110=NaN","layer":3},{"info":"≮⫘↔100100101010≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10000110000∙∹∝≮⫘↔110010011000=≮⫘↔0","layer":3},{"info":"≑⋹≮⫘↔0=≮⫘↔-1010110110","layer":2},{"info":"≮⫘↔1000011⋓≮⫘↔-1010110110=≮⫘↔0","layer":1},{"info":"NaN⪛⫼≮⫘↔0=≮⫘↔1111001000","layer":0}]}
{"id":351,"expression_no_base_symbol":"((↥≼⋛$1701$)⪉⨛($2826$∩⋅))⨚⇆($4053$⋥⋵⩄$1678$∙∹∝$2906$⨐$4518$)⋅⇍($3783$∓⋝$1884$⊉≛↸(⨆≐≲$3179$))⫰⋱(($1719$⩘)⨌↪)","expression":"((↥≼⋛≮⫘↔11010100101)⪉⨛(≮⫘↔101100001010∩⋅))⨚⇆(≮⫘↔111111010101⋥⋵⩄≮⫘↔11010001110∙∹∝≮⫘↔101101011010⨐≮⫘↔1000110100110)⋅⇍(≮⫘↔111011000111∓⋝≮⫘↔11101011100⊉≛↸(⨆≐≲≮⫘↔110001101011))⫰⋱((≮⫘↔11010110111⩘)⨌↪)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":56253,"operation_count":14,"complexity_ratio":4018.0714285714284,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1701,"base":2}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":2826,"base":2}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4053,"base":2},"right_expr":{"type":"numeric_atoms","value":1678,"base":2}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2906,"base":2},"right_expr":{"type":"numeric_atoms","value":4518,"base":2}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3783,"base":2},"right_expr":{"type":"numeric_atoms","value":1884,"base":2}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":3179,"base":2}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1719,"base":2}}}}},"used_operators":["AdZkA7nFnk","lwHaAYXP2r","EWw2JM7wp4","x5lMkHmzsq","2MzE1hQ0cz","HmxsFra2vL","7t3wd0Fuz7","Noe24qw2ks","6o9Blt3TJ6","DZ8iAZOCBD","PoHhknlbAi","Bi9z9uYZqW","cWQsF5MvuD","wvHyciQT5X"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","9ICcGScMcE","dfKe02y8D2"],"result":"≮⫘↔-10110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1701","layer":4},{"info":"compute unary expreesion, input=1701, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-2705","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-2705, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7991","layer":2},{"info":"number node, value=4053","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=4053, right_input=1678, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2906","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=4518, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5812","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-5812, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=7991, right_input=0, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=3783","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=1884, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3179","layer":4},{"info":"compute unary expreesion, input=3179, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=34457496","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=34457496, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=134","layer":2},{"info":"number node, value=1719","layer":4},{"info":"compute unary expreesion, input=1719, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=134, right_input=-480, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=413","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=413, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":2,"result_base":2,"text":"((↥≼⋛≮⫘↔11010100101)⪉⨛(≮⫘↔101100001010∩⋅))⨚⇆(≮⫘↔111111010101⋥⋵⩄≮⫘↔11010001110∙∹∝≮⫘↔101101011010⨐≮⫘↔1000110100110)⋅⇍(≮⫘↔111011000111∓⋝≮⫘↔11101011100⊉≛↸(⨆≐≲≮⫘↔110001101011))⫰⋱((≮⫘↔11010110111⩘)⨌↪)=≮⫘↔-10110","reverse_text":"≮⫘↔-10110=((↥≼⋛≮⫘↔11010100101)⪉⨛(≮⫘↔101100001010∩⋅))⨚⇆(≮⫘↔111111010101⋥⋵⩄≮⫘↔11010001110∙∹∝≮⫘↔101101011010⨐≮⫘↔1000110100110)⋅⇍(≮⫘↔111011000111∓⋝≮⫘↔11101011100⊉≛↸(⨆≐≲≮⫘↔110001101011))⫰⋱((≮⫘↔11010110111⩘)⨌↪)","cot":[{"info":"↥≼⋛≮⫘↔11010100101=≮⫘↔-1110001","layer":3},{"info":"≮⫘↔101100001010∩⋅=≮⫘↔-101010010001","layer":3},{"info":"≮⫘↔-1110001⪉⨛≮⫘↔-101010010001=≮⫘↔1111100110111","layer":2},{"info":"≮⫘↔111111010101⋥⋵⩄≮⫘↔11010001110=≮⫘↔1110001","layer":3},{"info":"≮⫘↔101101011010⨐≮⫘↔1000110100110=≮⫘↔-1011010110100","layer":3},{"info":"≮⫘↔1110001∙∹∝≮⫘↔-1011010110100=≮⫘↔0","layer":2},{"info":"≮⫘↔1111100110111⨚⇆≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔111011000111∓⋝≮⫘↔11101011100=≮⫘↔1000011","layer":3},{"info":"⨆≐≲≮⫘↔110001101011=≮⫘↔10000011011100011110011000","layer":3},{"info":"≮⫘↔1000011⊉≛↸≮⫘↔10000011011100011110011000=≮⫘↔10000110","layer":2},{"info":"≮⫘↔11010110111⩘=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1000011⨌↪=≮⫘↔-111100000","layer":2},{"info":"≮⫘↔10000110⫰⋱≮⫘↔-111100000=≮⫘↔110011101","layer":1},{"info":"NaN⋅⇍≮⫘↔110011101=≮⫘↔-10110","layer":0}]}
{"id":352,"expression_no_base_symbol":"(($1072$⫌⩉⩟$1286$)⨰(≛$2847$))≴⪞⇿((∮$2177$)↢($4174$⨌↪))≴⪞⇿(⨰⫟⨤((⇨$5434$)⪁$1003$⊋≦⊧$1016$))","expression":"((≮⫘↔10000110000⫌⩉⩟≮⫘↔10100000110)⨰(≛≮⫘↔101100011111))≴⪞⇿((∮≮⫘↔100010000001)↢(≮⫘↔1000001001110⨌↪))≴⪞⇿(⨰⫟⨤((⇨≮⫘↔1010100111010)⪁≮⫘↔1111101011⊋≦⊧≮⫘↔1111111000))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10825,"operation_count":12,"complexity_ratio":902.0833333333334,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1072,"base":2},"right_expr":{"type":"numeric_atoms","value":1286,"base":2}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2847,"base":2}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2177,"base":2}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":4174,"base":2}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":5434,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1003,"base":2},"right_expr":{"type":"numeric_atoms","value":1016,"base":2}}}}},"used_operators":["lvlrscuwVU","eewbuw0ToL","XIIwhv8d0m","W7eaUhjymW","WR6HLWljOP","CqXKPLVYql","cWQsF5MvuD","Tw270M8GLb","I7sXao9hZE","G9tJMlZ94a","oRDoc9rAEX"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","k8jYdgA6NY","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"≮⫘↔-111011100010011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1286, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2847","layer":4},{"info":"compute unary expreesion, input=2847, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-10, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-30","layer":2},{"info":"number node, value=2177","layer":4},{"info":"compute unary expreesion, input=2177, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=4174","layer":4},{"info":"compute unary expreesion, input=4174, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-480, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=-30, right_input=-484, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-19947","layer":1},{"info":"number node, value=5434","layer":4},{"info":"compute unary expreesion, input=5434, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1016, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-1792","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1792, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"compute binary expreesion, left_input=-19947, right_input=4492662, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-243864","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000110000⫌⩉⩟≮⫘↔10100000110)⨰(≛≮⫘↔101100011111))≴⪞⇿((∮≮⫘↔100010000001)↢(≮⫘↔1000001001110⨌↪))≴⪞⇿(⨰⫟⨤((⇨≮⫘↔1010100111010)⪁≮⫘↔1111101011⊋≦⊧≮⫘↔1111111000))=≮⫘↔-111011100010011000","reverse_text":"≮⫘↔-111011100010011000=((≮⫘↔10000110000⫌⩉⩟≮⫘↔10100000110)⨰(≛≮⫘↔101100011111))≴⪞⇿((∮≮⫘↔100010000001)↢(≮⫘↔1000001001110⨌↪))≴⪞⇿(⨰⫟⨤((⇨≮⫘↔1010100111010)⪁≮⫘↔1111101011⊋≦⊧≮⫘↔1111111000))","cot":[{"info":"≮⫘↔10000110000⫌⩉⩟≮⫘↔10100000110=≮⫘↔-110010","layer":3},{"info":"≛≮⫘↔101100011111=≮⫘↔-1010","layer":3},{"info":"≮⫘↔-110010⨰≮⫘↔-1010=≮⫘↔-11110","layer":2},{"info":"∮≮⫘↔100010000001=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1000001001110⨌↪=≮⫘↔-111100000","layer":3},{"info":"≮⫘↔1000011↢≮⫘↔-111100000=≮⫘↔-111100100","layer":2},{"info":"≮⫘↔-11110≴⪞⇿≮⫘↔-111100100=≮⫘↔-100110111101011","layer":1},{"info":"⇨≮⫘↔1010100111010=≮⫘↔0","layer":3},{"info":"≮⫘↔1111101011⊋≦⊧≮⫘↔1111111000=≮⫘↔-11100000000","layer":3},{"info":"≮⫘↔0⪁≮⫘↔-11100000000=≮⫘↔0","layer":2},{"info":"⨰⫟⨤≮⫘↔0=≮⫘↔10001001000110101110110","layer":1},{"info":"≮⫘↔-100110111101011≴⪞⇿≮⫘↔10001001000110101110110=≮⫘↔-111011100010011000","layer":0}]}
{"id":353,"expression_no_base_symbol":"≀↧⇸($2676$⫳≱↱$1675$)⨜⨶($4056$↙$5344$)≀⫉($5517$↹⊜$1279$⫦⪉($8146$⨵⪆$7360$))","expression":"≀↧⇸(≮⫘↔101001110100⫳≱↱≮⫘↔11010001011)⨜⨶(≮⫘↔111111011000↙≮⫘↔1010011100000)≀⫉(≮⫘↔1010110001101↹⊜≮⫘↔10011111111⫦⪉(≮⫘↔1111111010010⨵⪆≮⫘↔1110011000000))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5874,"operation_count":8,"complexity_ratio":734.25,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2676,"base":2},"right_expr":{"type":"numeric_atoms","value":1675,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4056,"base":2},"right_expr":{"type":"numeric_atoms","value":5344,"base":2}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5517,"base":2},"right_expr":{"type":"numeric_atoms","value":1279,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8146,"base":2},"right_expr":{"type":"numeric_atoms","value":7360,"base":2}}}}},"used_operators":["ljTHtUsqzn","oZj3VtZNQx","HiPekx5b7W","ZvLB05nZmT","yyfyN0ffXY","wscyQdcy20","9bazX3JMtO","2DQ55sFlQl"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1011000001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2676","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=1675, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=4056","layer":4},{"info":"number node, value=5344","layer":4},{"info":"compute binary expreesion, left_input=4056, right_input=5344, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16032","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-16032, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-97449","layer":2},{"info":"number node, value=5517","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=5517, right_input=1279, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5822","layer":3},{"info":"number node, value=8146","layer":4},{"info":"number node, value=7360","layer":4},{"info":"compute binary expreesion, left_input=8146, right_input=7360, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5822, right_input=160, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6744","layer":2},{"info":"compute binary expreesion, left_input=-97449, right_input=-6744, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5644","layer":0}],"base":2,"result_base":2,"text":"≀↧⇸(≮⫘↔101001110100⫳≱↱≮⫘↔11010001011)⨜⨶(≮⫘↔111111011000↙≮⫘↔1010011100000)≀⫉(≮⫘↔1010110001101↹⊜≮⫘↔10011111111⫦⪉(≮⫘↔1111111010010⨵⪆≮⫘↔1110011000000))=≮⫘↔1011000001100","reverse_text":"≮⫘↔1011000001100=≀↧⇸(≮⫘↔101001110100⫳≱↱≮⫘↔11010001011)⨜⨶(≮⫘↔111111011000↙≮⫘↔1010011100000)≀⫉(≮⫘↔1010110001101↹⊜≮⫘↔10011111111⫦⪉(≮⫘↔1111111010010⨵⪆≮⫘↔1110011000000))","cot":[{"info":"≮⫘↔101001110100⫳≱↱≮⫘↔11010001011=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔111111011000↙≮⫘↔1010011100000=≮⫘↔-11111010100000","layer":3},{"info":"≮⫘↔-11001100⨜⨶≮⫘↔-11111010100000=≮⫘↔-10111110010101001","layer":2},{"info":"≮⫘↔1010110001101↹⊜≮⫘↔10011111111=≮⫘↔1011010111110","layer":3},{"info":"≮⫘↔1111111010010⨵⪆≮⫘↔1110011000000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1011010111110⫦⪉≮⫘↔10100000=≮⫘↔-1101001011000","layer":2},{"info":"≮⫘↔-10111110010101001≀⫉≮⫘↔-1101001011000=≮⫘↔101100000110","layer":1},{"info":"≀↧⇸≮⫘↔101100000110=≮⫘↔1011000001100","layer":0}]}
{"id":354,"expression_no_base_symbol":"↥≼⋛(($3178$⇪⋭)⊬⫿⊭)⨚((⪝⪂⫅$5952$)⋣⋖($8369$⨑≵⋬$5750$))","expression":"↥≼⋛((≮⫘↔110001101010⇪⋭)⊬⫿⊭)⨚((⪝⪂⫅≮⫘↔1011101000000)⋣⋖(≮⫘↔10000010110001⨑≵⋬≮⫘↔1011001110110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":229,"operation_count":7,"complexity_ratio":32.714285714285715,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3178,"base":2}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5952,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":8369,"base":2},"right_expr":{"type":"numeric_atoms","value":5750,"base":2}}}}},"used_operators":["x5lMkHmzsq","nREPSIbpBE","v0DYgG9ikt","Z8Yg6dlDSp","J0M6qkBnIM","XTarYq4gQB","XnXgA4xnOs"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","BjRHVeLaeN","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9HNa5Wba9A","8w2t5hMYqp","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"≮⫘↔-1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3178","layer":4},{"info":"compute unary expreesion, input=3178, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":2},{"info":"number node, value=5952","layer":4},{"info":"compute unary expreesion, input=5952, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-874944","layer":3},{"info":"number node, value=8369","layer":4},{"info":"number node, value=5750","layer":4},{"info":"compute binary expreesion, left_input=8369, right_input=5750, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2974","layer":3},{"info":"compute binary expreesion, left_input=-874944, right_input=2974, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-874944","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-874944, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":2,"result_base":2,"text":"↥≼⋛((≮⫘↔110001101010⇪⋭)⊬⫿⊭)⨚((⪝⪂⫅≮⫘↔1011101000000)⋣⋖(≮⫘↔10000010110001⨑≵⋬≮⫘↔1011001110110))=≮⫘↔-1110001","reverse_text":"≮⫘↔-1110001=↥≼⋛((≮⫘↔110001101010⇪⋭)⊬⫿⊭)⨚((⪝⪂⫅≮⫘↔1011101000000)⋣⋖(≮⫘↔10000010110001⨑≵⋬≮⫘↔1011001110110))","cot":[{"info":"≮⫘↔110001101010⇪⋭=NaN","layer":3},{"info":"NaN⊬⫿⊭=NaN","layer":2},{"info":"⪝⪂⫅≮⫘↔1011101000000=≮⫘↔-11010101100111000000","layer":3},{"info":"≮⫘↔10000010110001⨑≵⋬≮⫘↔1011001110110=≮⫘↔101110011110","layer":3},{"info":"≮⫘↔-11010101100111000000⋣⋖≮⫘↔101110011110=≮⫘↔-11010101100111000000","layer":2},{"info":"NaN⨚≮⫘↔-11010101100111000000=NaN","layer":1},{"info":"↥≼⋛NaN=≮⫘↔-1110001","layer":0}]}
{"id":355,"expression_no_base_symbol":"(($4661$⩺⪪$1486$)≎⊠⪸$5825$⋹⋡⊁$3272$)⨻⩈⩔((⪨⨬$1340$)⋥≓≎(⩦⩻⨪$2915$))⨳⩥⨓((≸≮$3741$)⊋($2981$∙∹∝$2244$))⪔⊥($3821$⨼⩣$2117$)∥⊢⊲($2092$∼$2135$)","expression":"((≮⫘↔1001000110101⩺⪪≮⫘↔10111001110)≎⊠⪸≮⫘↔1011011000001⋹⋡⊁≮⫘↔110011001000)⨻⩈⩔((⪨⨬≮⫘↔10100111100)⋥≓≎(⩦⩻⨪≮⫘↔101101100011))⨳⩥⨓((≸≮≮⫘↔111010011101)⊋(≮⫘↔101110100101∙∹∝≮⫘↔100011000100))⪔⊥(≮⫘↔111011101101⨼⩣≮⫘↔100001000101)∥⊢⊲(≮⫘↔100000101100∼≮⫘↔100001010111)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":73485,"operation_count":15,"complexity_ratio":4899.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4661,"base":2},"right_expr":{"type":"numeric_atoms","value":1486,"base":2}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5825,"base":2},"right_expr":{"type":"numeric_atoms","value":3272,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1340,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2915,"base":2}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3741,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2981,"base":2},"right_expr":{"type":"numeric_atoms","value":2244,"base":2}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3821,"base":2},"right_expr":{"type":"numeric_atoms","value":2117,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2092,"base":2},"right_expr":{"type":"numeric_atoms","value":2135,"base":2}}}}},"used_operators":["nCS4ZIUYfx","nEsXyWgiOK","bJkvcejdHO","uvdQJvN4PV","As8RqfVLgs","Qy55tPpLXF","5obUd6DV38","2td37pGCOC","HJ9erzHUuu","W4tP9CfskL","AljMvE3RRm","HmxsFra2vL","v1UQAVDJRr","JxwMv5le6e","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4661","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=4661, right_input=1486, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-51698","layer":3},{"info":"number node, value=5825","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=5825, right_input=3272, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4022","layer":3},{"info":"compute binary expreesion, left_input=-51698, right_input=4022, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=13389782","layer":2},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=2915","layer":4},{"info":"compute unary expreesion, input=2915, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2915","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=2915, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=13389782, right_input=67, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=107109855","layer":1},{"info":"number node, value=3741","layer":4},{"info":"compute unary expreesion, input=3741, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=2981","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=2244, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":2},{"info":"number node, value=3821","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=2117, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2092","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=2135, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5454, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=107109855, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001000110101⩺⪪≮⫘↔10111001110)≎⊠⪸≮⫘↔1011011000001⋹⋡⊁≮⫘↔110011001000)⨻⩈⩔((⪨⨬≮⫘↔10100111100)⋥≓≎(⩦⩻⨪≮⫘↔101101100011))⨳⩥⨓((≸≮≮⫘↔111010011101)⊋(≮⫘↔101110100101∙∹∝≮⫘↔100011000100))⪔⊥(≮⫘↔111011101101⨼⩣≮⫘↔100001000101)∥⊢⊲(≮⫘↔100000101100∼≮⫘↔100001010111)=NaN","reverse_text":"NaN=((≮⫘↔1001000110101⩺⪪≮⫘↔10111001110)≎⊠⪸≮⫘↔1011011000001⋹⋡⊁≮⫘↔110011001000)⨻⩈⩔((⪨⨬≮⫘↔10100111100)⋥≓≎(⩦⩻⨪≮⫘↔101101100011))⨳⩥⨓((≸≮≮⫘↔111010011101)⊋(≮⫘↔101110100101∙∹∝≮⫘↔100011000100))⪔⊥(≮⫘↔111011101101⨼⩣≮⫘↔100001000101)∥⊢⊲(≮⫘↔100000101100∼≮⫘↔100001010111)","cot":[{"info":"≮⫘↔1001000110101⩺⪪≮⫘↔10111001110=≮⫘↔-1100100111110010","layer":3},{"info":"≮⫘↔1011011000001⋹⋡⊁≮⫘↔110011001000=≮⫘↔111110110110","layer":3},{"info":"≮⫘↔-1100100111110010≎⊠⪸≮⫘↔111110110110=≮⫘↔110011000100111111010110","layer":2},{"info":"⪨⨬≮⫘↔10100111100=≮⫘↔-1000001110","layer":3},{"info":"⩦⩻⨪≮⫘↔101101100011=≮⫘↔101101100011","layer":3},{"info":"≮⫘↔-1000001110⋥≓≎≮⫘↔101101100011=≮⫘↔1000011","layer":2},{"info":"≮⫘↔110011000100111111010110⨻⩈⩔≮⫘↔1000011=≮⫘↔110011000100101110111011111","layer":1},{"info":"≸≮≮⫘↔111010011101=NaN","layer":3},{"info":"≮⫘↔101110100101∙∹∝≮⫘↔100011000100=≮⫘↔0","layer":3},{"info":"NaN⊋≮⫘↔0=≮⫘↔-1010101001110","layer":2},{"info":"≮⫘↔111011101101⨼⩣≮⫘↔100001000101=NaN","layer":3},{"info":"≮⫘↔100000101100∼≮⫘↔100001010111=NaN","layer":3},{"info":"NaN∥⊢⊲NaN=NaN","layer":2},{"info":"≮⫘↔-1010101001110⪔⊥NaN=NaN","layer":1},{"info":"≮⫘↔110011000100101110111011111⨳⩥⨓NaN=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"(($6177$⪪$1190$)⩣⫁∢($4290$≚⊃≕$4126$)↸($3624$⩨$2997$)≒∊($5652$⇌⫙⪟$2689$))⨎(+⊝⨔($3197$∥⊢⊲$1730$)⩣⫁∢($4137$∘$3836$))","expression":"((≮⫘↔1100000100001⪪≮⫘↔10010100110)⩣⫁∢(≮⫘↔1000011000010≚⊃≕≮⫘↔1000000011110)↸(≮⫘↔111000101000⩨≮⫘↔101110110101)≒∊(≮⫘↔1011000010100⇌⫙⪟≮⫘↔101010000001))⨎(+⊝⨔(≮⫘↔110001111101∥⊢⊲≮⫘↔11011000010)⩣⫁∢(≮⫘↔1000000101001∘≮⫘↔111011111100))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19278,"operation_count":12,"complexity_ratio":1606.5,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6177,"base":2},"right_expr":{"type":"numeric_atoms","value":1190,"base":2}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4290,"base":2},"right_expr":{"type":"numeric_atoms","value":4126,"base":2}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3624,"base":2},"right_expr":{"type":"numeric_atoms","value":2997,"base":2}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":5652,"base":2},"right_expr":{"type":"numeric_atoms","value":2689,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3197,"base":2},"right_expr":{"type":"numeric_atoms","value":1730,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4137,"base":2},"right_expr":{"type":"numeric_atoms","value":3836,"base":2}}}}},"used_operators":["rJVOvQCfKK","1eCjFl0mb9","JDUIKTTSIa","xD69zh8xqp","Bmrmz2XGnR","5KTvxBwnZo","2DlMacCsIx","AFVx7xoS7T","DhbWaqg5eL","v1UQAVDJRr","Z5m6OM72h2"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","EBcxylXtPf","rGHVDoGpnC","eH2TOUuTDT","rysDP5nf3Z"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6177","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=6177, right_input=1190, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-928816","layer":3},{"info":"number node, value=4290","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=4290, right_input=4126, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-928816, right_input=67, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=3715829","layer":2},{"info":"number node, value=3624","layer":4},{"info":"number node, value=2997","layer":4},{"info":"compute binary expreesion, left_input=3624, right_input=2997, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5652","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=5652, right_input=2689, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":2},{"info":"compute binary expreesion, left_input=3715829, right_input=484, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3715829","layer":1},{"info":"number node, value=3197","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=1730, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4137","layer":4},{"info":"number node, value=3836","layer":4},{"info":"compute binary expreesion, left_input=4137, right_input=3836, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8274","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8274, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=3715829, right_input=1522, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1522","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100000100001⪪≮⫘↔10010100110)⩣⫁∢(≮⫘↔1000011000010≚⊃≕≮⫘↔1000000011110)↸(≮⫘↔111000101000⩨≮⫘↔101110110101)≒∊(≮⫘↔1011000010100⇌⫙⪟≮⫘↔101010000001))⨎(+⊝⨔(≮⫘↔110001111101∥⊢⊲≮⫘↔11011000010)⩣⫁∢(≮⫘↔1000000101001∘≮⫘↔111011111100))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=((≮⫘↔1100000100001⪪≮⫘↔10010100110)⩣⫁∢(≮⫘↔1000011000010≚⊃≕≮⫘↔1000000011110)↸(≮⫘↔111000101000⩨≮⫘↔101110110101)≒∊(≮⫘↔1011000010100⇌⫙⪟≮⫘↔101010000001))⨎(+⊝⨔(≮⫘↔110001111101∥⊢⊲≮⫘↔11011000010)⩣⫁∢(≮⫘↔1000000101001∘≮⫘↔111011111100))","cot":[{"info":"≮⫘↔1100000100001⪪≮⫘↔10010100110=≮⫘↔-11100010110000110000","layer":3},{"info":"≮⫘↔1000011000010≚⊃≕≮⫘↔1000000011110=≮⫘↔1000011","layer":3},{"info":"≮⫘↔-11100010110000110000⩣⫁∢≮⫘↔1000011=≮⫘↔1110001011001011110101","layer":2},{"info":"≮⫘↔111000101000⩨≮⫘↔101110110101=≮⫘↔0","layer":3},{"info":"≮⫘↔1011000010100⇌⫙⪟≮⫘↔101010000001=≮⫘↔1110001","layer":3},{"info":"≮⫘↔0≒∊≮⫘↔1110001=≮⫘↔111100100","layer":2},{"info":"≮⫘↔1110001011001011110101↸≮⫘↔111100100=≮⫘↔1110001011001011110101","layer":1},{"info":"≮⫘↔110001111101∥⊢⊲≮⫘↔11011000010=NaN","layer":3},{"info":"≮⫘↔1000000101001∘≮⫘↔111011111100=≮⫘↔10000001010010","layer":3},{"info":"NaN⩣⫁∢≮⫘↔10000001010010=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔1110001011001011110101⨎≮⫘↔10111110010=≮⫘↔10111110010","layer":0}]}
{"id":357,"expression_no_base_symbol":"($1972$≳⇉$3135$)→⨶⪴(⩷⨜⫀$1062$)⪕(⪡⇡≛(↽≂$3677$))⪇≇⋚($1470$⊝⪿⪼$5327$∑⇟⊟($2644$≥⨤⩑$7655$)⋫)","expression":"(≮⫘↔11110110100≳⇉≮⫘↔110000111111)→⨶⪴(⩷⨜⫀≮⫘↔10000100110)⪕(⪡⇡≛(↽≂≮⫘↔111001011101))⪇≇⋚(≮⫘↔10110111110⊝⪿⪼≮⫘↔1010011001111∑⇟⊟(≮⫘↔101001010100≥⨤⩑≮⫘↔1110111100111)⋫)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":214562826,"operation_count":11,"complexity_ratio":19505711.454545453,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1972,"base":2},"right_expr":{"type":"numeric_atoms","value":3135,"base":2}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1062,"base":2}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3677,"base":2}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1470,"base":2},"right_expr":{"type":"numeric_atoms","value":5327,"base":2}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2644,"base":2},"right_expr":{"type":"numeric_atoms","value":7655,"base":2}}}}},"used_operators":["3sJ7IOPOlU","umQnsF7QlU","bF6eod5Gvf","V0kx6qeWkN","CDi0ktkjQ4","qL4PrbW1Dq","u6S6b8DprG","JL8yIekQnl","U7g4x0WXJJ","3Oe9XWJUTD","gJLn6v0xnP"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","8w2t5hMYqp","9FxExcQeMw","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","ruOEQAzv1W","nhYeJWJD5X","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1972","layer":4},{"info":"number node, value=3135","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=3135, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-789","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-789, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"number node, value=3677","layer":4},{"info":"compute unary expreesion, input=3677, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7354","layer":3},{"info":"compute unary expreesion, input=-7354, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-7354","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7354, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=1470","layer":4},{"info":"number node, value=5327","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=5327, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=31982","layer":3},{"info":"number node, value=2644","layer":4},{"info":"number node, value=7655","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=7655, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=31982, right_input=1234, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11110110100≳⇉≮⫘↔110000111111)→⨶⪴(⩷⨜⫀≮⫘↔10000100110)⪕(⪡⇡≛(↽≂≮⫘↔111001011101))⪇≇⋚(≮⫘↔10110111110⊝⪿⪼≮⫘↔1010011001111∑⇟⊟(≮⫘↔101001010100≥⨤⩑≮⫘↔1110111100111)⋫)=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔11110110100≳⇉≮⫘↔110000111111)→⨶⪴(⩷⨜⫀≮⫘↔10000100110)⪕(⪡⇡≛(↽≂≮⫘↔111001011101))⪇≇⋚(≮⫘↔10110111110⊝⪿⪼≮⫘↔1010011001111∑⇟⊟(≮⫘↔101001010100≥⨤⩑≮⫘↔1110111100111)⋫)","cot":[{"info":"≮⫘↔11110110100≳⇉≮⫘↔110000111111=NaN","layer":3},{"info":"⩷⨜⫀≮⫘↔10000100110=≮⫘↔-1100010101","layer":3},{"info":"NaN→⨶⪴≮⫘↔-1100010101=NaN","layer":2},{"info":"↽≂≮⫘↔111001011101=≮⫘↔-1110010111010","layer":3},{"info":"⪡⇡≛≮⫘↔-1110010111010=≮⫘↔-1110010111010","layer":2},{"info":"NaN⪕≮⫘↔-1110010111010=≮⫘↔1110100111","layer":1},{"info":"≮⫘↔10110111110⊝⪿⪼≮⫘↔1010011001111=≮⫘↔111110011101110","layer":3},{"info":"≮⫘↔101001010100≥⨤⩑≮⫘↔1110111100111=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔111110011101110∑⇟⊟≮⫘↔10011010010=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"≮⫘↔1110100111⪇≇⋚NaN=≮⫘↔0","layer":0}]}
{"id":358,"expression_no_base_symbol":"∂(($7170$⋻⩜⩜$1153$)↓($1748$⩘$1875$)∑⇟⊟($1979$⇣⩺⋵$3334$⊾⪯⋞$7162$⊋$1729$))","expression":"∂((≮⫘↔1110000000010⋻⩜⩜≮⫘↔10010000001)↓(≮⫘↔11011010100⩘≮⫘↔11101010011)∑⇟⊟(≮⫘↔11110111011⇣⩺⋵≮⫘↔110100000110⊾⪯⋞≮⫘↔1101111111010⊋≮⫘↔11011000001))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25524,"operation_count":8,"complexity_ratio":3190.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":7170,"base":2},"right_expr":{"type":"numeric_atoms","value":1153,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1748,"base":2},"right_expr":{"type":"numeric_atoms","value":1875,"base":2}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1979,"base":2},"right_expr":{"type":"numeric_atoms","value":3334,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7162,"base":2},"right_expr":{"type":"numeric_atoms","value":1729,"base":2}}}}},"used_operators":["Uaa54Peajs","U7g4x0WXJJ","Af076pWI7l","oDCm7WA9JY","cHh1gJQ2o6","HK0tfVPux8","F4yD0voBRQ","W4tP9CfskL"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7170","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=7170, right_input=1153, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=14340","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1875, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=14340, right_input=160, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=8308","layer":2},{"info":"number node, value=1979","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=3334, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=7162","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=7162, right_input=1729, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=72164736","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=72164736, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=144329046","layer":2},{"info":"compute binary expreesion, left_input=8308, right_input=144329046, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∂((≮⫘↔1110000000010⋻⩜⩜≮⫘↔10010000001)↓(≮⫘↔11011010100⩘≮⫘↔11101010011)∑⇟⊟(≮⫘↔11110111011⇣⩺⋵≮⫘↔110100000110⊾⪯⋞≮⫘↔1101111111010⊋≮⫘↔11011000001))=NaN","reverse_text":"NaN=∂((≮⫘↔1110000000010⋻⩜⩜≮⫘↔10010000001)↓(≮⫘↔11011010100⩘≮⫘↔11101010011)∑⇟⊟(≮⫘↔11110111011⇣⩺⋵≮⫘↔110100000110⊾⪯⋞≮⫘↔1101111111010⊋≮⫘↔11011000001))","cot":[{"info":"≮⫘↔1110000000010⋻⩜⩜≮⫘↔10010000001=≮⫘↔11100000000100","layer":3},{"info":"≮⫘↔11011010100⩘≮⫘↔11101010011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11100000000100↓≮⫘↔10100000=≮⫘↔10000001110100","layer":2},{"info":"≮⫘↔11110111011⇣⩺⋵≮⫘↔110100000110=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔1101111111010⊋≮⫘↔11011000001=≮⫘↔100010011010010010110000000","layer":3},{"info":"≮⫘↔-100000100⊾⪯⋞≮⫘↔100010011010010010110000000=≮⫘↔1000100110100100100101010110","layer":2},{"info":"≮⫘↔10000001110100∑⇟⊟≮⫘↔1000100110100100100101010110=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"(⊀$5230$)∛(↯⪼$2948$)≧⫂∧($1875$∓⋝$2838$)⨜⨶($2069$⨝⩣∺)⪊≅","expression":"(⊀≮⫘↔1010001101110)∛(↯⪼≮⫘↔101110000100)≧⫂∧(≮⫘↔11101010011∓⋝≮⫘↔101100010110)⨜⨶(≮⫘↔100000010101⨝⩣∺)⪊≅","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":161,"operation_count":8,"complexity_ratio":20.125,"tree":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":5230,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2948,"base":2}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1875,"base":2},"right_expr":{"type":"numeric_atoms","value":2838,"base":2}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2069,"base":2}}}}},"used_operators":["bjFbhXSADs","Ph9nP6C5qx","w2537kitQq","oPMjh9089D","8jW3W4yZS5","HiPekx5b7W","PoHhknlbAi","ancx8kZcWl"],"dependent_operators":["COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DZ8iAZOCBD","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5230","layer":4},{"info":"compute unary expreesion, input=5230, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=20658","layer":3},{"info":"number node, value=2948","layer":4},{"info":"compute unary expreesion, input=2948, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=20658, right_input=-21, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1875","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=2838, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2069","layer":4},{"info":"compute unary expreesion, input=2069, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-4138","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-4138, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-23375","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-23375, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=23442","layer":1},{"info":"compute unary expreesion, input=23442, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⊀≮⫘↔1010001101110)∛(↯⪼≮⫘↔101110000100)≧⫂∧(≮⫘↔11101010011∓⋝≮⫘↔101100010110)⨜⨶(≮⫘↔100000010101⨝⩣∺)⪊≅=≮⫘↔0","reverse_text":"≮⫘↔0=(⊀≮⫘↔1010001101110)∛(↯⪼≮⫘↔101110000100)≧⫂∧(≮⫘↔11101010011∓⋝≮⫘↔101100010110)⨜⨶(≮⫘↔100000010101⨝⩣∺)⪊≅","cot":[{"info":"⊀≮⫘↔1010001101110=≮⫘↔101000010110010","layer":3},{"info":"↯⪼≮⫘↔101110000100=≮⫘↔-10101","layer":3},{"info":"≮⫘↔101000010110010∛≮⫘↔-10101=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11101010011∓⋝≮⫘↔101100010110=≮⫘↔1000011","layer":3},{"info":"≮⫘↔100000010101⨝⩣∺=≮⫘↔-1000000101010","layer":3},{"info":"≮⫘↔1000011⨜⨶≮⫘↔-1000000101010=≮⫘↔-101101101001111","layer":2},{"info":"≮⫘↔1000011≧⫂∧≮⫘↔-101101101001111=≮⫘↔101101110010010","layer":1},{"info":"≮⫘↔101101110010010⪊≅=≮⫘↔0","layer":0}]}
{"id":360,"expression_no_base_symbol":"(($2339$∠⫱$4473$)⨭⪣$3426$∊∟⩊$1049$⫸⊐(⨣⨃⇪(⇜⊴$3923$)))⨳⩥⨓((⩷⨜⫀$2739$)≳⇉($1072$⊊))⩘($2608$*$4271$⫳≱↱(∟⋨$6426$))","expression":"((≮⫘↔100100100011∠⫱≮⫘↔1000101111001)⨭⪣≮⫘↔110101100010∊∟⩊≮⫘↔10000011001⫸⊐(⨣⨃⇪(⇜⊴≮⫘↔111101010011)))⨳⩥⨓((⩷⨜⫀≮⫘↔101010110011)≳⇉(≮⫘↔10000110000⊊))⩘(≮⫘↔101000110000*≮⫘↔1000010101111⫳≱↱(∟⋨≮⫘↔1100100011010))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":191781,"operation_count":14,"complexity_ratio":13698.642857142857,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2339,"base":2},"right_expr":{"type":"numeric_atoms","value":4473,"base":2}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3426,"base":2},"right_expr":{"type":"numeric_atoms","value":1049,"base":2}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3923,"base":2}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2739,"base":2}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1072,"base":2}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2608,"base":2},"right_expr":{"type":"numeric_atoms","value":4271,"base":2}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":6426,"base":2}}}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","kn8WO9XteQ","QvoQhV0rrE","ddLRYrp01A","AcOhelriW5","XwDhCwWbUn","cHh1gJQ2o6","V0kx6qeWkN","CDi0ktkjQ4","W9R8I5fN5A","ZvLB05nZmT","9HNa5Wba9A","ctOc4cKSDt"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","ruOEQAzv1W","nhYeJWJD5X","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","eLAdDNolq6","tmPS8pqC7x"],"result":"≮⫘↔-100010111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2339","layer":4},{"info":"number node, value=4473","layer":4},{"info":"compute binary expreesion, left_input=2339, right_input=4473, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=1049, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=9","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=9, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-45","layer":2},{"info":"number node, value=3923","layer":4},{"info":"compute unary expreesion, input=3923, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-912114","layer":3},{"info":"compute unary expreesion, input=-912114, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=-45, right_input=1405, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=439","layer":1},{"info":"number node, value=2739","layer":4},{"info":"compute unary expreesion, input=2739, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2466","layer":3},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=-2466, right_input=90927, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=2608","layer":4},{"info":"number node, value=4271","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=4271, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11138768","layer":3},{"info":"number node, value=6426","layer":4},{"info":"compute unary expreesion, input=6426, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-5942","layer":3},{"info":"compute binary expreesion, left_input=11138768, right_input=-5942, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=439, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-279","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100100100011∠⫱≮⫘↔1000101111001)⨭⪣≮⫘↔110101100010∊∟⩊≮⫘↔10000011001⫸⊐(⨣⨃⇪(⇜⊴≮⫘↔111101010011)))⨳⩥⨓((⩷⨜⫀≮⫘↔101010110011)≳⇉(≮⫘↔10000110000⊊))⩘(≮⫘↔101000110000*≮⫘↔1000010101111⫳≱↱(∟⋨≮⫘↔1100100011010))=≮⫘↔-100010111","reverse_text":"≮⫘↔-100010111=((≮⫘↔100100100011∠⫱≮⫘↔1000101111001)⨭⪣≮⫘↔110101100010∊∟⩊≮⫘↔10000011001⫸⊐(⨣⨃⇪(⇜⊴≮⫘↔111101010011)))⨳⩥⨓((⩷⨜⫀≮⫘↔101010110011)≳⇉(≮⫘↔10000110000⊊))⩘(≮⫘↔101000110000*≮⫘↔1000010101111⫳≱↱(∟⋨≮⫘↔1100100011010))","cot":[{"info":"≮⫘↔100100100011∠⫱≮⫘↔1000101111001=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔110101100010∊∟⩊≮⫘↔10000011001=≮⫘↔1001","layer":3},{"info":"≮⫘↔10011010010⨭⪣≮⫘↔1001=≮⫘↔-101101","layer":2},{"info":"⇜⊴≮⫘↔111101010011=≮⫘↔-11011110101011110010","layer":3},{"info":"⨣⨃⇪≮⫘↔-11011110101011110010=≮⫘↔10101111101","layer":2},{"info":"≮⫘↔-101101⫸⊐≮⫘↔10101111101=≮⫘↔110110111","layer":1},{"info":"⩷⨜⫀≮⫘↔101010110011=≮⫘↔-100110100010","layer":3},{"info":"≮⫘↔10000110000⊊=≮⫘↔10110001100101111","layer":3},{"info":"≮⫘↔-100110100010≳⇉≮⫘↔10110001100101111=NaN","layer":2},{"info":"≮⫘↔101000110000*≮⫘↔1000010101111=≮⫘↔101010011111011011010000","layer":3},{"info":"∟⋨≮⫘↔1100100011010=≮⫘↔-1011100110110","layer":3},{"info":"≮⫘↔101010011111011011010000⫳≱↱≮⫘↔-1011100110110=≮⫘↔-11001100","layer":2},{"info":"NaN⩘≮⫘↔-11001100=≮⫘↔10100000","layer":1},{"info":"≮⫘↔110110111⨳⩥⨓≮⫘↔10100000=≮⫘↔-100010111","layer":0}]}
{"id":361,"expression_no_base_symbol":"($3397$↼⊘⨖$5372$↡⊰⫅$5336$⪍↜⋙$2714$∷$1404$≀⫉$1045$⊋≦⊧($6234$⨒$3697$))⪥((⨵$1134$)≁↽≥($1012$⇣⩺⋵$8086$))⫗⊷⫓(($7578$⪉⨛$1414$)⪭≯($3467$+⇶⊼$1635$))","expression":"(≮⫘↔110101000101↼⊘⨖≮⫘↔1010011111100↡⊰⫅≮⫘↔1010011011000⪍↜⋙≮⫘↔101010011010∷≮⫘↔10101111100≀⫉≮⫘↔10000010101⊋≦⊧(≮⫘↔1100001011010⨒≮⫘↔111001110001))⪥((⨵≮⫘↔10001101110)≁↽≥(≮⫘↔1111110100⇣⩺⋵≮⫘↔1111110010110))⫗⊷⫓((≮⫘↔1110110011010⪉⨛≮⫘↔10110000110)⪭≯(≮⫘↔110110001011+⇶⊼≮⫘↔11001100011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":86430,"operation_count":15,"complexity_ratio":5762.0,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3397,"base":2},"right_expr":{"type":"numeric_atoms","value":5372,"base":2}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5336,"base":2},"right_expr":{"type":"numeric_atoms","value":2714,"base":2}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1404,"base":2},"right_expr":{"type":"numeric_atoms","value":1045,"base":2}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6234,"base":2},"right_expr":{"type":"numeric_atoms","value":3697,"base":2}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1134,"base":2}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":8086,"base":2}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":7578,"base":2},"right_expr":{"type":"numeric_atoms","value":1414,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3467,"base":2},"right_expr":{"type":"numeric_atoms","value":1635,"base":2}}}}},"used_operators":["QbnwKVWMIQ","D3AQDKkPcf","VCtxkLNOzz","bPywburJMS","L05ObWFQCd","oRDoc9rAEX","oZj3VtZNQx","y75s1iXyHd","zashukvMKz","ncHt1X6cMc","Tl3Y52tvF8","F4yD0voBRQ","XAx5wpdLa6","EWw2JM7wp4","TpPTUOHfaN"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","oWn0xqSxBt","3Oe9XWJUTD","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AHs5Up7iyr"],"result":"≮⫘↔-1110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3397","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=3397, right_input=5372, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=10522","layer":3},{"info":"number node, value=5336","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=5336, right_input=2714, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=5244","layer":3},{"info":"compute binary expreesion, left_input=10522, right_input=5244, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10488","layer":2},{"info":"number node, value=1404","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1045, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=6234","layer":4},{"info":"number node, value=3697","layer":4},{"info":"compute binary expreesion, left_input=6234, right_input=3697, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-37032","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-37032, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=74304","layer":2},{"info":"compute binary expreesion, left_input=10488, right_input=74304, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=74304","layer":1},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-10281","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=8086","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=8086, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-12062","layer":3},{"info":"compute binary expreesion, left_input=-10281, right_input=-12062, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=7578","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=7578, right_input=1414, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=21535","layer":3},{"info":"number node, value=3467","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=3467, right_input=1635, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=21535, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=74304, right_input=-134, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110101000101↼⊘⨖≮⫘↔1010011111100↡⊰⫅≮⫘↔1010011011000⪍↜⋙≮⫘↔101010011010∷≮⫘↔10101111100≀⫉≮⫘↔10000010101⊋≦⊧(≮⫘↔1100001011010⨒≮⫘↔111001110001))⪥((⨵≮⫘↔10001101110)≁↽≥(≮⫘↔1111110100⇣⩺⋵≮⫘↔1111110010110))⫗⊷⫓((≮⫘↔1110110011010⪉⨛≮⫘↔10110000110)⪭≯(≮⫘↔110110001011+⇶⊼≮⫘↔11001100011))=≮⫘↔-1110100","reverse_text":"≮⫘↔-1110100=(≮⫘↔110101000101↼⊘⨖≮⫘↔1010011111100↡⊰⫅≮⫘↔1010011011000⪍↜⋙≮⫘↔101010011010∷≮⫘↔10101111100≀⫉≮⫘↔10000010101⊋≦⊧(≮⫘↔1100001011010⨒≮⫘↔111001110001))⪥((⨵≮⫘↔10001101110)≁↽≥(≮⫘↔1111110100⇣⩺⋵≮⫘↔1111110010110))⫗⊷⫓((≮⫘↔1110110011010⪉⨛≮⫘↔10110000110)⪭≯(≮⫘↔110110001011+⇶⊼≮⫘↔11001100011))","cot":[{"info":"≮⫘↔110101000101↼⊘⨖≮⫘↔1010011111100=≮⫘↔10100100011010","layer":3},{"info":"≮⫘↔1010011011000⪍↜⋙≮⫘↔101010011010=≮⫘↔1010001111100","layer":3},{"info":"≮⫘↔10100100011010↡⊰⫅≮⫘↔1010001111100=≮⫘↔10100011111000","layer":2},{"info":"≮⫘↔10101111100≀⫉≮⫘↔10000010101=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔1100001011010⨒≮⫘↔111001110001=≮⫘↔-1001000010101000","layer":3},{"info":"≮⫘↔101100000110⊋≦⊧≮⫘↔-1001000010101000=≮⫘↔10010001001000000","layer":2},{"info":"≮⫘↔10100011111000∷≮⫘↔10010001001000000=≮⫘↔10010001001000000","layer":1},{"info":"⨵≮⫘↔10001101110=≮⫘↔-10100000101001","layer":3},{"info":"≮⫘↔1111110100⇣⩺⋵≮⫘↔1111110010110=≮⫘↔-10111100011110","layer":3},{"info":"≮⫘↔-10100000101001≁↽≥≮⫘↔-10111100011110=≮⫘↔11000100","layer":2},{"info":"≮⫘↔1110110011010⪉⨛≮⫘↔10110000110=≮⫘↔101010000011111","layer":3},{"info":"≮⫘↔110110001011+⇶⊼≮⫘↔11001100011=NaN","layer":3},{"info":"≮⫘↔101010000011111⪭≯NaN=NaN","layer":2},{"info":"≮⫘↔11000100⫗⊷⫓NaN=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔10010001001000000⪥≮⫘↔-10000110=≮⫘↔-1110100","layer":0}]}
{"id":362,"expression_no_base_symbol":"($3157$⩧⪆$2699$⊋≦⊧$1926$⩼⇪↪$2221$⩵∡((∑⇻≧$1263$)⫌⩉⩟$1077$⨚⇆$6376$))⨽($1058$⪟⇏$6080$⪉⨛$1555$∺≝⩲$5902$⊭↱($6095$⇤$1122$)⫗⊷⫓($1245$⊨$2559$))","expression":"(≮⫘↔110001010101⩧⪆≮⫘↔101010001011⊋≦⊧≮⫘↔11110000110⩼⇪↪≮⫘↔100010101101⩵∡((∑⇻≧≮⫘↔10011101111)⫌⩉⩟≮⫘↔10000110101⨚⇆≮⫘↔1100011101000))⨽(≮⫘↔10000100010⪟⇏≮⫘↔1011111000000⪉⨛≮⫘↔11000010011∺≝⩲≮⫘↔1011100001110⊭↱(≮⫘↔1011111001111⇤≮⫘↔10001100010)⫗⊷⫓(≮⫘↔10011011101⊨≮⫘↔100111111111))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":96303,"operation_count":15,"complexity_ratio":6420.2,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3157,"base":2},"right_expr":{"type":"numeric_atoms","value":2699,"base":2}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1926,"base":2},"right_expr":{"type":"numeric_atoms","value":2221,"base":2}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1263,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1077,"base":2},"right_expr":{"type":"numeric_atoms","value":6376,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1058,"base":2},"right_expr":{"type":"numeric_atoms","value":6080,"base":2}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1555,"base":2},"right_expr":{"type":"numeric_atoms","value":5902,"base":2}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6095,"base":2},"right_expr":{"type":"numeric_atoms","value":1122,"base":2}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1245,"base":2},"right_expr":{"type":"numeric_atoms","value":2559,"base":2}}}}},"used_operators":["8HhzD0ZcuI","Y7wcNGrDQJ","oRDoc9rAEX","Ikt5ks8PT7","ocnLzx9CaJ","XIIwhv8d0m","l1M9WJ3V7u","lwHaAYXP2r","COABgblf1C","EWw2JM7wp4","GODebY97qR","KPf6cnQVty","zashukvMKz","YSKBFp38Pu","vg4gO5BX6G"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"≮⫘↔-11100001011110111100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3157","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=2699, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2699","layer":3},{"info":"number node, value=1926","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=2221, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-12478","layer":3},{"info":"compute binary expreesion, left_input=-2699, right_input=-12478, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=6376","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=6376, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-50, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-555","layer":1},{"info":"number node, value=1058","layer":4},{"info":"number node, value=6080","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=6080, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1555","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=5902, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=160, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-268","layer":2},{"info":"number node, value=6095","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=6095, right_input=1122, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-33237","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=2559, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6011","layer":3},{"info":"compute binary expreesion, left_input=-33237, right_input=6011, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-268, right_input=-134, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=273","layer":1},{"info":"compute binary expreesion, left_input=-555, right_input=273, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-923580","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110001010101⩧⪆≮⫘↔101010001011⊋≦⊧≮⫘↔11110000110⩼⇪↪≮⫘↔100010101101⩵∡((∑⇻≧≮⫘↔10011101111)⫌⩉⩟≮⫘↔10000110101⨚⇆≮⫘↔1100011101000))⨽(≮⫘↔10000100010⪟⇏≮⫘↔1011111000000⪉⨛≮⫘↔11000010011∺≝⩲≮⫘↔1011100001110⊭↱(≮⫘↔1011111001111⇤≮⫘↔10001100010)⫗⊷⫓(≮⫘↔10011011101⊨≮⫘↔100111111111))=≮⫘↔-11100001011110111100","reverse_text":"≮⫘↔-11100001011110111100=(≮⫘↔110001010101⩧⪆≮⫘↔101010001011⊋≦⊧≮⫘↔11110000110⩼⇪↪≮⫘↔100010101101⩵∡((∑⇻≧≮⫘↔10011101111)⫌⩉⩟≮⫘↔10000110101⨚⇆≮⫘↔1100011101000))⨽(≮⫘↔10000100010⪟⇏≮⫘↔1011111000000⪉⨛≮⫘↔11000010011∺≝⩲≮⫘↔1011100001110⊭↱(≮⫘↔1011111001111⇤≮⫘↔10001100010)⫗⊷⫓(≮⫘↔10011011101⊨≮⫘↔100111111111))","cot":[{"info":"≮⫘↔110001010101⩧⪆≮⫘↔101010001011=≮⫘↔-101010001011","layer":3},{"info":"≮⫘↔11110000110⩼⇪↪≮⫘↔100010101101=≮⫘↔-11000010111110","layer":3},{"info":"≮⫘↔-101010001011⊋≦⊧≮⫘↔-11000010111110=≮⫘↔11000000","layer":2},{"info":"∑⇻≧≮⫘↔10011101111=≮⫘↔-1101010100","layer":3},{"info":"≮⫘↔10000110101⨚⇆≮⫘↔1100011101000=NaN","layer":3},{"info":"≮⫘↔-1101010100⫌⩉⩟NaN=≮⫘↔-110010","layer":2},{"info":"≮⫘↔11000000⩵∡≮⫘↔-110010=≮⫘↔-1000101011","layer":1},{"info":"≮⫘↔10000100010⪟⇏≮⫘↔1011111000000=≮⫘↔-1","layer":3},{"info":"≮⫘↔11000010011∺≝⩲≮⫘↔1011100001110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1⪉⨛≮⫘↔10100000=≮⫘↔-100001100","layer":2},{"info":"≮⫘↔1011111001111⇤≮⫘↔10001100010=≮⫘↔-1000000111010101","layer":3},{"info":"≮⫘↔10011011101⊨≮⫘↔100111111111=≮⫘↔1011101111011","layer":3},{"info":"≮⫘↔-1000000111010101⫗⊷⫓≮⫘↔1011101111011=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔-100001100⊭↱≮⫘↔-10000110=≮⫘↔100010001","layer":1},{"info":"≮⫘↔-1000101011⨽≮⫘↔100010001=≮⫘↔-11100001011110111100","layer":0}]}
{"id":363,"expression_no_base_symbol":"(⇜⊴(∓($5344$∑⇟⊟$2277$)))⫢⨠($6084$⇣⩺⋵$2444$%(↥≼⋛$5571$))⇣⩺⋵($3279$⊋$1931$⫸⇳$2096$⊝⪿⪼$3786$)","expression":"(⇜⊴(∓(≮⫘↔1010011100000∑⇟⊟≮⫘↔100011100101)))⫢⨠(≮⫘↔1011111000100⇣⩺⋵≮⫘↔100110001100%(↥≼⋛≮⫘↔1010111000011))⇣⩺⋵(≮⫘↔110011001111⊋≮⫘↔11110001011⫸⇳≮⫘↔100000110000⊝⪿⪼≮⫘↔111011001010)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3133,"operation_count":11,"complexity_ratio":284.8181818181818,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5344,"base":2},"right_expr":{"type":"numeric_atoms","value":2277,"base":2}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6084,"base":2},"right_expr":{"type":"numeric_atoms","value":2444,"base":2}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":5571,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3279,"base":2},"right_expr":{"type":"numeric_atoms","value":1931,"base":2}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2096,"base":2},"right_expr":{"type":"numeric_atoms","value":3786,"base":2}}}}},"used_operators":["xlXykHWxX1","XwDhCwWbUn","OwUj7dcsQK","U7g4x0WXJJ","F4yD0voBRQ","k8jYdgA6NY","x5lMkHmzsq","gx7XJ7hdpj","W4tP9CfskL","3Oe9XWJUTD"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5344","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=5344, right_input=2277, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":1},{"info":"number node, value=6084","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=6084, right_input=2444, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=5571","layer":4},{"info":"compute unary expreesion, input=5571, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-113, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-34","layer":2},{"info":"number node, value=3279","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=1931, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=20533148","layer":3},{"info":"number node, value=2096","layer":4},{"info":"number node, value=3786","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=3786, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=41372","layer":3},{"info":"compute binary expreesion, left_input=20533148, right_input=41372, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-34, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇜⊴(∓(≮⫘↔1010011100000∑⇟⊟≮⫘↔100011100101)))⫢⨠(≮⫘↔1011111000100⇣⩺⋵≮⫘↔100110001100%(↥≼⋛≮⫘↔1010111000011))⇣⩺⋵(≮⫘↔110011001111⊋≮⫘↔11110001011⫸⇳≮⫘↔100000110000⊝⪿⪼≮⫘↔111011001010)=NaN","reverse_text":"NaN=(⇜⊴(∓(≮⫘↔1010011100000∑⇟⊟≮⫘↔100011100101)))⫢⨠(≮⫘↔1011111000100⇣⩺⋵≮⫘↔100110001100%(↥≼⋛≮⫘↔1010111000011))⇣⩺⋵(≮⫘↔110011001111⊋≮⫘↔11110001011⫸⇳≮⫘↔100000110000⊝⪿⪼≮⫘↔111011001010)","cot":[{"info":"≮⫘↔1010011100000∑⇟⊟≮⫘↔100011100101=NaN","layer":3},{"info":"∓NaN=NaN","layer":2},{"info":"⇜⊴NaN=NaN","layer":1},{"info":"≮⫘↔1011111000100⇣⩺⋵≮⫘↔100110001100=≮⫘↔-100000100","layer":3},{"info":"↥≼⋛≮⫘↔1010111000011=≮⫘↔-1110001","layer":3},{"info":"≮⫘↔-100000100%≮⫘↔-1110001=≮⫘↔-100010","layer":2},{"info":"≮⫘↔110011001111⊋≮⫘↔11110001011=≮⫘↔1001110010100111110011100","layer":3},{"info":"≮⫘↔100000110000⊝⪿⪼≮⫘↔111011001010=≮⫘↔1010000110011100","layer":3},{"info":"≮⫘↔1001110010100111110011100⫸⇳≮⫘↔1010000110011100=≮⫘↔0","layer":2},{"info":"≮⫘↔-100010⇣⩺⋵≮⫘↔0=≮⫘↔-100000100","layer":1},{"info":"NaN⫢⨠≮⫘↔-100000100=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"((≔($6767$⊋$1044$))⇮⋭(↨($1804$⪨≂$3131$)))⩟","expression":"((≔(≮⫘↔1101001101111⊋≮⫘↔10000010100))⇮⋭(↨(≮⫘↔11100001100⪨≂≮⫘↔110000111011)))⩟","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4134,"operation_count":6,"complexity_ratio":689.0,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6767,"base":2},"right_expr":{"type":"numeric_atoms","value":1044,"base":2}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1804,"base":2},"right_expr":{"type":"numeric_atoms","value":3131,"base":2}}}}},"used_operators":["fOIeswaMU4","vkpjKywKVM","8FLs4eVsLt","W4tP9CfskL","jiX4gk2v2Q","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1001110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6767","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=6767, right_input=1044, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=44413496","layer":3},{"info":"compute unary expreesion, input=44413496, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-1243576594","layer":2},{"info":"number node, value=1804","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=3131, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2552","layer":3},{"info":"compute unary expreesion, input=-2552, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1243576594, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=624","layer":0}],"base":2,"result_base":2,"text":"((≔(≮⫘↔1101001101111⊋≮⫘↔10000010100))⇮⋭(↨(≮⫘↔11100001100⪨≂≮⫘↔110000111011)))⩟=≮⫘↔1001110000","reverse_text":"≮⫘↔1001110000=((≔(≮⫘↔1101001101111⊋≮⫘↔10000010100))⇮⋭(↨(≮⫘↔11100001100⪨≂≮⫘↔110000111011)))⩟","cot":[{"info":"≮⫘↔1101001101111⊋≮⫘↔10000010100=≮⫘↔10101001011011001000111000","layer":3},{"info":"≔≮⫘↔10101001011011001000111000=≮⫘↔-1001010000111110111100100010010","layer":2},{"info":"≮⫘↔11100001100⪨≂≮⫘↔110000111011=≮⫘↔-100111111000","layer":3},{"info":"↨≮⫘↔-100111111000=NaN","layer":2},{"info":"≮⫘↔-1001010000111110111100100010010⇮⋭NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000011⩟=≮⫘↔1001110000","layer":0}]}
{"id":365,"expression_no_base_symbol":"($7157$↳≱$1760$⪓⨏)⪭($2427$∀⇚≩$1990$⪨⊡(⋗⩴⪓$1255$))∪⫐((⩦⊞$6720$)∲⫓(≛$9060$))↺($1379$⫸⇳$1376$⫲)","expression":"(≮⫘↔1101111110101↳≱≮⫘↔11011100000⪓⨏)⪭(≮⫘↔100101111011∀⇚≩≮⫘↔11111000110⪨⊡(⋗⩴⪓≮⫘↔10011100111))∪⫐((⩦⊞≮⫘↔1101001000000)∲⫓(≛≮⫘↔10001101100100))↺(≮⫘↔10101100011⫸⇳≮⫘↔10101100000⫲)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18857,"operation_count":13,"complexity_ratio":1450.5384615384614,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":7157,"base":2},"right_expr":{"type":"numeric_atoms","value":1760,"base":2}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2427,"base":2},"right_expr":{"type":"numeric_atoms","value":1990,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1255,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":6720,"base":2}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":9060,"base":2}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1379,"base":2},"right_expr":{"type":"numeric_atoms","value":1376,"base":2}}}}},"used_operators":["7YooWSwCyH","j9kHMeSvPp","4X9JU4Jbn6","JwTKLfZU96","kuIXHzHcAH","LRNGc0VcxI","nOKPl9n5zu","7j4O788W3g","i8ToyICDmI","u7fv1HBiaC","W7eaUhjymW","9xnGDUPbC6","gx7XJ7hdpj"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","COABgblf1C","xUOZtlo3hN","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","X99M06cbEe","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"≮⫘↔101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7157","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=7157, right_input=1760, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=2427","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=1990, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-342","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-342, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=2157","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2157, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=6720","layer":4},{"info":"compute unary expreesion, input=6720, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6447","layer":3},{"info":"number node, value=9060","layer":4},{"info":"compute unary expreesion, input=9060, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-6447, right_input=-10, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-6447","layer":2},{"info":"number node, value=1379","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=1376, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-789","layer":2},{"info":"compute binary expreesion, left_input=-6447, right_input=-789, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-789","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=-789, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101111110101↳≱≮⫘↔11011100000⪓⨏)⪭(≮⫘↔100101111011∀⇚≩≮⫘↔11111000110⪨⊡(⋗⩴⪓≮⫘↔10011100111))∪⫐((⩦⊞≮⫘↔1101001000000)∲⫓(≛≮⫘↔10001101100100))↺(≮⫘↔10101100011⫸⇳≮⫘↔10101100000⫲)=≮⫘↔101","reverse_text":"≮⫘↔101=(≮⫘↔1101111110101↳≱≮⫘↔11011100000⪓⨏)⪭(≮⫘↔100101111011∀⇚≩≮⫘↔11111000110⪨⊡(⋗⩴⪓≮⫘↔10011100111))∪⫐((⩦⊞≮⫘↔1101001000000)∲⫓(≛≮⫘↔10001101100100))↺(≮⫘↔10101100011⫸⇳≮⫘↔10101100000⫲)","cot":[{"info":"≮⫘↔1101111110101↳≱≮⫘↔11011100000=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪓⨏=NaN","layer":2},{"info":"≮⫘↔100101111011∀⇚≩≮⫘↔11111000110=NaN","layer":3},{"info":"⋗⩴⪓≮⫘↔10011100111=≮⫘↔-101010110","layer":3},{"info":"NaN⪨⊡≮⫘↔-101010110=≮⫘↔100001101101","layer":2},{"info":"NaN⪭≮⫘↔100001101101=≮⫘↔101","layer":1},{"info":"⩦⊞≮⫘↔1101001000000=≮⫘↔-1100100101111","layer":3},{"info":"≛≮⫘↔10001101100100=≮⫘↔-1010","layer":3},{"info":"≮⫘↔-1100100101111∲⫓≮⫘↔-1010=≮⫘↔-1100100101111","layer":2},{"info":"≮⫘↔10101100011⫸⇳≮⫘↔10101100000=≮⫘↔0","layer":3},{"info":"≮⫘↔0⫲=≮⫘↔-1100010101","layer":2},{"info":"≮⫘↔-1100100101111↺≮⫘↔-1100010101=≮⫘↔-1100010101","layer":1},{"info":"≮⫘↔101∪⫐≮⫘↔-1100010101=≮⫘↔101","layer":0}]}
{"id":366,"expression_no_base_symbol":"(($7050$⇴$4583$)⊫∞)⋳⪒$1270$⪟⇏$1176$⨜⨶(⫛⫱⨽$1170$)⨽($2200$⫳≱↱$5104$⫳≱↱($3913$⫳≱↱$1153$))⇍⊗(⊖∈(⫓⪴$1374$))","expression":"((≮⫘↔1101110001010⇴≮⫘↔1000111100111)⊫∞)⋳⪒≮⫘↔10011110110⪟⇏≮⫘↔10010011000⨜⨶(⫛⫱⨽≮⫘↔10010010010)⨽(≮⫘↔100010011000⫳≱↱≮⫘↔1001111110000⫳≱↱(≮⫘↔111101001001⫳≱↱≮⫘↔10010000001))⇍⊗(⊖∈(⫓⪴≮⫘↔10101011110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":28041,"operation_count":13,"complexity_ratio":2157.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":7050,"base":2},"right_expr":{"type":"numeric_atoms","value":4583,"base":2}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1270,"base":2},"right_expr":{"type":"numeric_atoms","value":1176,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1170,"base":2}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2200,"base":2},"right_expr":{"type":"numeric_atoms","value":5104,"base":2}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3913,"base":2},"right_expr":{"type":"numeric_atoms","value":1153,"base":2}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1374,"base":2}}}}},"used_operators":["8HhzD0ZcuI","12rbrZMWeM","pABnYW3G3E","4JB6nKBMSY","HiPekx5b7W","GODebY97qR","DlLNRPXxWL","5uvYHDjeKN","ZvLB05nZmT","YFxL8Sc2Zy","eLxqMNBOBk"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","sdazOOVcIp","NTOWxs364D","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rGHVDoGpnC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9HNa5Wba9A"],"result":"≮⫘↔-1100110110011100110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7050","layer":4},{"info":"number node, value=4583","layer":4},{"info":"compute binary expreesion, left_input=7050, right_input=4583, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=51080","layer":3},{"info":"compute unary expreesion, input=51080, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=1270","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=1176, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=773","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=773, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1060","layer":1},{"info":"number node, value=2200","layer":4},{"info":"number node, value=5104","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=5104, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3913","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=3913, right_input=1153, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-204, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-267","layer":2},{"info":"number node, value=1374","layer":4},{"info":"compute unary expreesion, input=1374, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1887876","layer":3},{"info":"compute unary expreesion, input=1887876, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=37751926","layer":2},{"info":"compute binary expreesion, left_input=-267, right_input=37751926, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=-1060, right_input=-244, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3368754","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1101110001010⇴≮⫘↔1000111100111)⊫∞)⋳⪒≮⫘↔10011110110⪟⇏≮⫘↔10010011000⨜⨶(⫛⫱⨽≮⫘↔10010010010)⨽(≮⫘↔100010011000⫳≱↱≮⫘↔1001111110000⫳≱↱(≮⫘↔111101001001⫳≱↱≮⫘↔10010000001))⇍⊗(⊖∈(⫓⪴≮⫘↔10101011110))=≮⫘↔-1100110110011100110010","reverse_text":"≮⫘↔-1100110110011100110010=((≮⫘↔1101110001010⇴≮⫘↔1000111100111)⊫∞)⋳⪒≮⫘↔10011110110⪟⇏≮⫘↔10010011000⨜⨶(⫛⫱⨽≮⫘↔10010010010)⨽(≮⫘↔100010011000⫳≱↱≮⫘↔1001111110000⫳≱↱(≮⫘↔111101001001⫳≱↱≮⫘↔10010000001))⇍⊗(⊖∈(⫓⪴≮⫘↔10101011110))","cot":[{"info":"≮⫘↔1101110001010⇴≮⫘↔1000111100111=≮⫘↔1100011110001000","layer":3},{"info":"≮⫘↔1100011110001000⊫∞=≮⫘↔0","layer":2},{"info":"≮⫘↔10011110110⪟⇏≮⫘↔10010011000=≮⫘↔-1","layer":3},{"info":"⫛⫱⨽≮⫘↔10010010010=≮⫘↔0","layer":3},{"info":"≮⫘↔-1⨜⨶≮⫘↔0=≮⫘↔1100000101","layer":2},{"info":"≮⫘↔0⋳⪒≮⫘↔1100000101=≮⫘↔-10000100100","layer":1},{"info":"≮⫘↔100010011000⫳≱↱≮⫘↔1001111110000=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔111101001001⫳≱↱≮⫘↔10010000001=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔-11001100⫳≱↱≮⫘↔-11001100=≮⫘↔-100001011","layer":2},{"info":"⫓⪴≮⫘↔10101011110=≮⫘↔111001100111010000100","layer":3},{"info":"⊖∈≮⫘↔111001100111010000100=≮⫘↔10010000000000110001110110","layer":2},{"info":"≮⫘↔-100001011⇍⊗≮⫘↔10010000000000110001110110=≮⫘↔-11110100","layer":1},{"info":"≮⫘↔-10000100100⨽≮⫘↔-11110100=≮⫘↔-1100110110011100110010","layer":0}]}
{"id":367,"expression_no_base_symbol":"(($3786$⨁⊸⫻)⊉↱≁($4265$⨼⩣$1148$)⩏)⇤($4754$≦↸$3257$⩹$2262$≹⇙⪍$8395$)↳≱(($4210$⩺⪪$2700$)⨎$1039$≝⊿$3264$)","expression":"((≮⫘↔111011001010⨁⊸⫻)⊉↱≁(≮⫘↔1000010101001⨼⩣≮⫘↔10001111100)⩏)⇤(≮⫘↔1001010010010≦↸≮⫘↔110010111001⩹≮⫘↔100011010110≹⇙⪍≮⫘↔10000011001011)↳≱((≮⫘↔1000001110010⩺⪪≮⫘↔101010001100)⨎≮⫘↔10000001111≝⊿≮⫘↔110011000000)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":893,"operation_count":12,"complexity_ratio":74.41666666666667,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3786,"base":2}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4265,"base":2},"right_expr":{"type":"numeric_atoms","value":1148,"base":2}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4754,"base":2},"right_expr":{"type":"numeric_atoms","value":3257,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2262,"base":2},"right_expr":{"type":"numeric_atoms","value":8395,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4210,"base":2},"right_expr":{"type":"numeric_atoms","value":2700,"base":2}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1039,"base":2},"right_expr":{"type":"numeric_atoms","value":3264,"base":2}}}}},"used_operators":["YSKBFp38Pu","iA2gmKZ3Wj","w2P8NbNXyL","glklzrTFfD","JxwMv5le6e","JwTKLfZU96","2Wsdkap16l","RygbFNSyEJ","AHs5Up7iyr","rJVOvQCfKK","uvdQJvN4PV","OKKcZfAt5B"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","z6LnFrNh4i","Tcnh7f0tEr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","12rbrZMWeM"],"result":"≮⫘↔101100100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3786","layer":4},{"info":"compute unary expreesion, input=3786, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3786","layer":3},{"info":"number node, value=4265","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=1148, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3786, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"number node, value=4754","layer":4},{"info":"number node, value=3257","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=3257, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-15341","layer":3},{"info":"number node, value=2262","layer":4},{"info":"number node, value=8395","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=8395, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15341, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=4210","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=2700, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-25058","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3264, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8100","layer":3},{"info":"compute binary expreesion, left_input=-25058, right_input=-8100, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-8100","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8100, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=2848","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111011001010⨁⊸⫻)⊉↱≁(≮⫘↔1000010101001⨼⩣≮⫘↔10001111100)⩏)⇤(≮⫘↔1001010010010≦↸≮⫘↔110010111001⩹≮⫘↔100011010110≹⇙⪍≮⫘↔10000011001011)↳≱((≮⫘↔1000001110010⩺⪪≮⫘↔101010001100)⨎≮⫘↔10000001111≝⊿≮⫘↔110011000000)=≮⫘↔101100100000","reverse_text":"≮⫘↔101100100000=((≮⫘↔111011001010⨁⊸⫻)⊉↱≁(≮⫘↔1000010101001⨼⩣≮⫘↔10001111100)⩏)⇤(≮⫘↔1001010010010≦↸≮⫘↔110010111001⩹≮⫘↔100011010110≹⇙⪍≮⫘↔10000011001011)↳≱((≮⫘↔1000001110010⩺⪪≮⫘↔101010001100)⨎≮⫘↔10000001111≝⊿≮⫘↔110011000000)","cot":[{"info":"≮⫘↔111011001010⨁⊸⫻=≮⫘↔111011001010","layer":3},{"info":"≮⫘↔1000010101001⨼⩣≮⫘↔10001111100=NaN","layer":3},{"info":"≮⫘↔111011001010⊉↱≁NaN=NaN","layer":2},{"info":"NaN⩏=≮⫘↔0","layer":1},{"info":"≮⫘↔1001010010010≦↸≮⫘↔110010111001=≮⫘↔-11101111101101","layer":3},{"info":"≮⫘↔100011010110≹⇙⪍≮⫘↔10000011001011=NaN","layer":3},{"info":"≮⫘↔-11101111101101⩹NaN=NaN","layer":2},{"info":"≮⫘↔1000001110010⩺⪪≮⫘↔101010001100=≮⫘↔-110000111100010","layer":3},{"info":"≮⫘↔10000001111≝⊿≮⫘↔110011000000=≮⫘↔-1111110100100","layer":3},{"info":"≮⫘↔-110000111100010⨎≮⫘↔-1111110100100=≮⫘↔-1111110100100","layer":2},{"info":"NaN↳≱≮⫘↔-1111110100100=≮⫘↔0","layer":1},{"info":"≮⫘↔0⇤≮⫘↔0=≮⫘↔101100100000","layer":0}]}
{"id":368,"expression_no_base_symbol":"(⫟(⇘(→⩰$4542$)))∙∹∝($3747$⋛$7940$)⪝($3001$⊋≦⊧$1476$)⩷∴$1992$≨$1641$⪛$7752$⫁⪎$2053$","expression":"(⫟(⇘(→⩰≮⫘↔1000110111110)))∙∹∝(≮⫘↔111010100011⋛≮⫘↔1111100000100)⪝(≮⫘↔101110111001⊋≦⊧≮⫘↔10111000100)⩷∴≮⫘↔11111001000≨≮⫘↔11001101001⪛≮⫘↔1111001001000⫁⪎≮⫘↔100000000101","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5816,"operation_count":11,"complexity_ratio":528.7272727272727,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4542,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3747,"base":2},"right_expr":{"type":"numeric_atoms","value":7940,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3001,"base":2},"right_expr":{"type":"numeric_atoms","value":1476,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1992,"base":2},"right_expr":{"type":"numeric_atoms","value":1641,"base":2}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":7752,"base":2},"right_expr":{"type":"numeric_atoms","value":2053,"base":2}}}}},"used_operators":["HmxsFra2vL","z4E1FaHLuy","MGuIdZPyUC","o8Pngz0Tml","9FxExcQeMw","wicAB68Tmb","YbUVn0Rbpy","oRDoc9rAEX","uFcxV4UQCh","0KMCeP1Jsh","xRrnTEsQ6j"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rysDP5nf3Z","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4542","layer":4},{"info":"compute unary expreesion, input=4542, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":1},{"info":"number node, value=3747","layer":4},{"info":"number node, value=7940","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=7940, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-98469","layer":3},{"info":"number node, value=3001","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=3001, right_input=1476, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2712","layer":3},{"info":"compute binary expreesion, left_input=-98469, right_input=-2712, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-994371","layer":2},{"info":"number node, value=1992","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=1641, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-17444","layer":3},{"info":"number node, value=7752","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=7752, right_input=2053, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5699","layer":3},{"info":"compute binary expreesion, left_input=-17444, right_input=5699, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5352","layer":2},{"info":"compute binary expreesion, left_input=-994371, right_input=5352, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1999478","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1999478, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫟(⇘(→⩰≮⫘↔1000110111110)))∙∹∝(≮⫘↔111010100011⋛≮⫘↔1111100000100)⪝(≮⫘↔101110111001⊋≦⊧≮⫘↔10111000100)⩷∴≮⫘↔11111001000≨≮⫘↔11001101001⪛≮⫘↔1111001001000⫁⪎≮⫘↔100000000101=NaN","reverse_text":"NaN=(⫟(⇘(→⩰≮⫘↔1000110111110)))∙∹∝(≮⫘↔111010100011⋛≮⫘↔1111100000100)⪝(≮⫘↔101110111001⊋≦⊧≮⫘↔10111000100)⩷∴≮⫘↔11111001000≨≮⫘↔11001101001⪛≮⫘↔1111001001000⫁⪎≮⫘↔100000000101","cot":[{"info":"→⩰≮⫘↔1000110111110=NaN","layer":3},{"info":"⇘NaN=NaN","layer":2},{"info":"⫟NaN=NaN","layer":1},{"info":"≮⫘↔111010100011⋛≮⫘↔1111100000100=≮⫘↔-11000000010100101","layer":3},{"info":"≮⫘↔101110111001⊋≦⊧≮⫘↔10111000100=≮⫘↔-101010011000","layer":3},{"info":"≮⫘↔-11000000010100101⪝≮⫘↔-101010011000=≮⫘↔-11110010110001000011","layer":2},{"info":"≮⫘↔11111001000≨≮⫘↔11001101001=≮⫘↔-100010000100100","layer":3},{"info":"≮⫘↔1111001001000⫁⪎≮⫘↔100000000101=≮⫘↔1011001000011","layer":3},{"info":"≮⫘↔-100010000100100⪛≮⫘↔1011001000011=≮⫘↔1010011101000","layer":2},{"info":"≮⫘↔-11110010110001000011⩷∴≮⫘↔1010011101000=≮⫘↔-111101000001001110110","layer":1},{"info":"NaN∙∹∝≮⫘↔-111101000001001110110=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"((≋$3095$⊕∕$4788$)≨((⫟$3903$)%($2070$⇆⨓≜)))≌((($3850$⊍⩺⋍$2087$)∙⊟(∟⋨$1216$))≹⇙⪍($3139$⫡⨏$4238$)↳∿⪆($2054$⇴∐$1365$))","expression":"((≋≮⫘↔110000010111⊕∕≮⫘↔1001010110100)≨((⫟≮⫘↔111100111111)%(≮⫘↔100000010110⇆⨓≜)))≌(((≮⫘↔111100001010⊍⩺⋍≮⫘↔100000100111)∙⊟(∟⋨≮⫘↔10011000000))≹⇙⪍(≮⫘↔110001000011⫡⨏≮⫘↔1000010001110)↳∿⪆(≮⫘↔100000000110⇴∐≮⫘↔10101010101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4206,"operation_count":14,"complexity_ratio":300.42857142857144,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3095,"base":2},"right_expr":{"type":"numeric_atoms","value":4788,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":3903,"base":2}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":2070,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3850,"base":2},"right_expr":{"type":"numeric_atoms","value":2087,"base":2}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1216,"base":2}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3139,"base":2},"right_expr":{"type":"numeric_atoms","value":4238,"base":2}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2054,"base":2},"right_expr":{"type":"numeric_atoms","value":1365,"base":2}}}}},"used_operators":["lyWz822IDG","0KMCeP1Jsh","61wBmkZwlr","9cloC0Ngie","k8jYdgA6NY","z4E1FaHLuy","KvvgdUaMHJ","AHs5Up7iyr","SxTAKzQCrw","OXDGMFPWZM","ctOc4cKSDt","Cw4SuJJGHO","QMFrweE19q","HnzytWxmAO"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","7j4O788W3g","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Uaa54Peajs","KYD54nUTWz","dWAJyo7jo9","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eLAdDNolq6","tmPS8pqC7x","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3095","layer":4},{"info":"number node, value=4788","layer":4},{"info":"compute binary expreesion, left_input=3095, right_input=4788, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3095","layer":3},{"info":"compute unary expreesion, input=3095, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3095","layer":2},{"info":"number node, value=3903","layer":4},{"info":"compute unary expreesion, input=3903, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-10802","layer":3},{"info":"number node, value=2070","layer":4},{"info":"compute unary expreesion, input=2070, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10802, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3095, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-28474","layer":1},{"info":"number node, value=3850","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=2087, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-732","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-732, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"number node, value=3139","layer":4},{"info":"number node, value=4238","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=4238, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24954","layer":3},{"info":"number node, value=2054","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=1365, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=24954, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-28474, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≋≮⫘↔110000010111⊕∕≮⫘↔1001010110100)≨((⫟≮⫘↔111100111111)%(≮⫘↔100000010110⇆⨓≜)))≌(((≮⫘↔111100001010⊍⩺⋍≮⫘↔100000100111)∙⊟(∟⋨≮⫘↔10011000000))≹⇙⪍(≮⫘↔110001000011⫡⨏≮⫘↔1000010001110)↳∿⪆(≮⫘↔100000000110⇴∐≮⫘↔10101010101))=NaN","reverse_text":"NaN=((≋≮⫘↔110000010111⊕∕≮⫘↔1001010110100)≨((⫟≮⫘↔111100111111)%(≮⫘↔100000010110⇆⨓≜)))≌(((≮⫘↔111100001010⊍⩺⋍≮⫘↔100000100111)∙⊟(∟⋨≮⫘↔10011000000))≹⇙⪍(≮⫘↔110001000011⫡⨏≮⫘↔1000010001110)↳∿⪆(≮⫘↔100000000110⇴∐≮⫘↔10101010101))","cot":[{"info":"≮⫘↔110000010111⊕∕≮⫘↔1001010110100=≮⫘↔110000010111","layer":3},{"info":"≋≮⫘↔110000010111=≮⫘↔110000010111","layer":2},{"info":"⫟≮⫘↔111100111111=≮⫘↔-10101000110010","layer":3},{"info":"≮⫘↔100000010110⇆⨓≜=NaN","layer":3},{"info":"≮⫘↔-10101000110010%NaN=NaN","layer":2},{"info":"≮⫘↔110000010111≨NaN=≮⫘↔-110111100111010","layer":1},{"info":"≮⫘↔111100001010⊍⩺⋍≮⫘↔100000100111=NaN","layer":3},{"info":"∟⋨≮⫘↔10011000000=≮⫘↔-1011011100","layer":3},{"info":"NaN∙⊟≮⫘↔-1011011100=NaN","layer":2},{"info":"≮⫘↔110001000011⫡⨏≮⫘↔1000010001110=≮⫘↔110000101111010","layer":3},{"info":"≮⫘↔100000000110⇴∐≮⫘↔10101010101=NaN","layer":3},{"info":"≮⫘↔110000101111010↳∿⪆NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔-110111100111010≌NaN=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"(⪨⨬(($2294$⩤)⇐≅))≭(⫖→(↩(↔$2537$)))","expression":"(⪨⨬((≮⫘↔100011110110⩤)⇐≅))≭(⫖→(↩(↔≮⫘↔100111101001)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11935,"operation_count":7,"complexity_ratio":1705.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2294,"base":2}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2537,"base":2}}}}},"used_operators":["rxpJgHHUmx","5obUd6DV38","wEfv7U73WA","Z2TMIBDE3Q","U4ylXWHChL","jLgFTUHLKL","ruOEQAzv1W"],"dependent_operators":["AHs5Up7iyr","T2fj7uvVaJ","nlCqmYiOvY","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2294","layer":3},{"info":"compute unary expreesion, input=-2294, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=1821","layer":2},{"info":"compute unary expreesion, input=1821, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"number node, value=2537","layer":4},{"info":"compute unary expreesion, input=2537, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2264","layer":3},{"info":"compute unary expreesion, input=-2264, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=11676","layer":2},{"info":"compute unary expreesion, input=11676, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=177, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪨⨬((≮⫘↔100011110110⩤)⇐≅))≭(⫖→(↩(↔≮⫘↔100111101001)))=NaN","reverse_text":"NaN=(⪨⨬((≮⫘↔100011110110⩤)⇐≅))≭(⫖→(↩(↔≮⫘↔100111101001)))","cot":[{"info":"≮⫘↔100011110110⩤=≮⫘↔-100011110110","layer":3},{"info":"≮⫘↔-100011110110⇐≅=≮⫘↔11100011101","layer":2},{"info":"⪨⨬≮⫘↔11100011101=≮⫘↔-1000001110","layer":1},{"info":"↔≮⫘↔100111101001=≮⫘↔-100011011000","layer":3},{"info":"↩≮⫘↔-100011011000=≮⫘↔10110110011100","layer":2},{"info":"⫖→≮⫘↔10110110011100=≮⫘↔10110001","layer":1},{"info":"≮⫘↔-1000001110≭≮⫘↔10110001=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"(($1386$≃$2990$∀⋜↑)⨒($5371$≓∲$1562$)⋅⇍($3149$∷$1895$))⨪↰⇹(($2468$≑≱⪘)⋳⪒($4996$⪉⨛$1573$))∌($2657$⪄$2224$)⨂≜($2427$∝$2982$)","expression":"((≮⫘↔10101101010≃≮⫘↔101110101110∀⋜↑)⨒(≮⫘↔1010011111011≓∲≮⫘↔11000011010)⋅⇍(≮⫘↔110001001101∷≮⫘↔11101100111))⨪↰⇹((≮⫘↔100110100100≑≱⪘)⋳⪒(≮⫘↔1001110000100⪉⨛≮⫘↔11000100101))∌(≮⫘↔101001100001⪄≮⫘↔100010110000)⨂≜(≮⫘↔100101111011∝≮⫘↔101110100110)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":398594,"operation_count":14,"complexity_ratio":28471.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1386,"base":2},"right_expr":{"type":"numeric_atoms","value":2990,"base":2}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5371,"base":2},"right_expr":{"type":"numeric_atoms","value":1562,"base":2}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3149,"base":2},"right_expr":{"type":"numeric_atoms","value":1895,"base":2}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2468,"base":2}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4996,"base":2},"right_expr":{"type":"numeric_atoms","value":1573,"base":2}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2657,"base":2},"right_expr":{"type":"numeric_atoms","value":2224,"base":2}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2427,"base":2},"right_expr":{"type":"numeric_atoms","value":2982,"base":2}}}}},"used_operators":["tmPS8pqC7x","y75s1iXyHd","KipPnG1M2J","YbVcJGFEVW","AdZkA7nFnk","s1XTVnmDOJ","D3AQDKkPcf","8cLx32lpNA","12rbrZMWeM","tGSeddj7UK","EWw2JM7wp4","k1SHOSEABc","SUmda5xLS4","cTDWOvIxvz"],"dependent_operators":["rJVOvQCfKK","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","NTOWxs364D","7j4O788W3g","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≮⫘↔1","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":4},{"info":"number node, value=2990","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=2990, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-5584","layer":3},{"info":"compute unary expreesion, input=-5584, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-17236","layer":2},{"info":"number node, value=5371","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=5371, right_input=1562, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=54493","layer":3},{"info":"number node, value=3149","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=3149, right_input=1895, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1895","layer":3},{"info":"compute binary expreesion, left_input=54493, right_input=1895, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-17236, right_input=-22, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=60533","layer":3},{"info":"number node, value=4996","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=4996, right_input=1573, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=13630","layer":3},{"info":"compute binary expreesion, left_input=60533, right_input=13630, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=107149","layer":2},{"info":"number node, value=2657","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=2657, right_input=2224, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-398221","layer":3},{"info":"number node, value=2427","layer":4},{"info":"number node, value=2982","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=2982, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2432","layer":3},{"info":"compute binary expreesion, left_input=-398221, right_input=2432, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=107149, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101101010≃≮⫘↔101110101110∀⋜↑)⨒(≮⫘↔1010011111011≓∲≮⫘↔11000011010)⋅⇍(≮⫘↔110001001101∷≮⫘↔11101100111))⨪↰⇹((≮⫘↔100110100100≑≱⪘)⋳⪒(≮⫘↔1001110000100⪉⨛≮⫘↔11000100101))∌(≮⫘↔101001100001⪄≮⫘↔100010110000)⨂≜(≮⫘↔100101111011∝≮⫘↔101110100110)=≮⫘↔1","reverse_text":"≮⫘↔1=((≮⫘↔10101101010≃≮⫘↔101110101110∀⋜↑)⨒(≮⫘↔1010011111011≓∲≮⫘↔11000011010)⋅⇍(≮⫘↔110001001101∷≮⫘↔11101100111))⨪↰⇹((≮⫘↔100110100100≑≱⪘)⋳⪒(≮⫘↔1001110000100⪉⨛≮⫘↔11000100101))∌(≮⫘↔101001100001⪄≮⫘↔100010110000)⨂≜(≮⫘↔100101111011∝≮⫘↔101110100110)","cot":[{"info":"≮⫘↔10101101010≃≮⫘↔101110101110=≮⫘↔-1010111010000","layer":3},{"info":"≮⫘↔-1010111010000∀⋜↑=≮⫘↔-100001101010100","layer":2},{"info":"≮⫘↔1010011111011≓∲≮⫘↔11000011010=≮⫘↔1101010011011101","layer":3},{"info":"≮⫘↔110001001101∷≮⫘↔11101100111=≮⫘↔11101100111","layer":3},{"info":"≮⫘↔1101010011011101⋅⇍≮⫘↔11101100111=≮⫘↔-10110","layer":2},{"info":"≮⫘↔-100001101010100⨒≮⫘↔-10110=≮⫘↔1","layer":1},{"info":"≮⫘↔100110100100≑≱⪘=≮⫘↔1110110001110101","layer":3},{"info":"≮⫘↔1001110000100⪉⨛≮⫘↔11000100101=≮⫘↔11010100111110","layer":3},{"info":"≮⫘↔1110110001110101⋳⪒≮⫘↔11010100111110=≮⫘↔11010001010001101","layer":2},{"info":"≮⫘↔101001100001⪄≮⫘↔100010110000=≮⫘↔-1100001001110001101","layer":3},{"info":"≮⫘↔100101111011∝≮⫘↔101110100110=≮⫘↔100110000000","layer":3},{"info":"≮⫘↔-1100001001110001101⨂≜≮⫘↔100110000000=NaN","layer":2},{"info":"≮⫘↔11010001010001101∌NaN=NaN","layer":1},{"info":"≮⫘↔1⨪↰⇹NaN=≮⫘↔1","layer":0}]}
{"id":372,"expression_no_base_symbol":"(⊊≼∋(($4203$⫩)⨑⩅≇($4398$⊭↱$4561$)))↙(⨑⩽⪐(⇤←$2510$⊴$3563$))","expression":"(⊊≼∋((≮⫘↔1000001101011⫩)⨑⩅≇(≮⫘↔1000100101110⊭↱≮⫘↔1000111010001)))↙(⨑⩽⪐(⇤←≮⫘↔100111001110⊴≮⫘↔110111101011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8868,"operation_count":8,"complexity_ratio":1108.5,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":4203,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4398,"base":2},"right_expr":{"type":"numeric_atoms","value":4561,"base":2}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2510,"base":2},"right_expr":{"type":"numeric_atoms","value":3563,"base":2}}}}},"used_operators":["yyfyN0ffXY","FWz7pXsQhA","h92wMvzauj","6aG7x05OhS","COABgblf1C","AF7qkfDlqP","jfAgQ2OQeM","Nsiff2A1zJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","jCPkEVoL5K","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","dWAJyo7jo9","14qkJME0vr"],"result":"≮⫘↔-110111111","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=4203","layer":4},{"info":"compute unary expreesion, input=4203, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=4398","layer":4},{"info":"number node, value=4561","layer":4},{"info":"compute binary expreesion, left_input=4398, right_input=4561, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=331","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=331, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute unary expreesion, input=935, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"number node, value=2510","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=3563, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-447","layer":0}],"base":2,"result_base":2,"text":"(⊊≼∋((≮⫘↔1000001101011⫩)⨑⩅≇(≮⫘↔1000100101110⊭↱≮⫘↔1000111010001)))↙(⨑⩽⪐(⇤←≮⫘↔100111001110⊴≮⫘↔110111101011))=≮⫘↔-110111111","reverse_text":"≮⫘↔-110111111=(⊊≼∋((≮⫘↔1000001101011⫩)⨑⩅≇(≮⫘↔1000100101110⊭↱≮⫘↔1000111010001)))↙(⨑⩽⪐(⇤←≮⫘↔100111001110⊴≮⫘↔110111101011))","cot":[{"info":"≮⫘↔1000001101011⫩=NaN","layer":3},{"info":"≮⫘↔1000100101110⊭↱≮⫘↔1000111010001=≮⫘↔101001011","layer":3},{"info":"NaN⨑⩅≇≮⫘↔101001011=≮⫘↔1110100111","layer":2},{"info":"⊊≼∋≮⫘↔1110100111=≮⫘↔-110111111","layer":1},{"info":"≮⫘↔100111001110⊴≮⫘↔110111101011=NaN","layer":3},{"info":"⇤←NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"≮⫘↔-110111111↙NaN=≮⫘↔-110111111","layer":0}]}
{"id":373,"expression_no_base_symbol":"(⊗($8461$≀⫉$1311$-($2579$⨘⋶⪀)))⫸⊐(($2037$⫦⪉$1935$)⨀⨒)+⇶⊼($1796$⇮⋭$1356$⋻⩜⩜$1115$∌$3818$)","expression":"(⊗(≮⫘↔10000100001101≀⫉≮⫘↔10100011111-(≮⫘↔101000010011⨘⋶⪀)))⫸⊐((≮⫘↔11111110101⫦⪉≮⫘↔11110001111)⨀⨒)+⇶⊼(≮⫘↔11100000100⇮⋭≮⫘↔10101001100⋻⩜⩜≮⫘↔10001011011∌≮⫘↔111011101010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53849,"operation_count":11,"complexity_ratio":4895.363636363636,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":8461,"base":2},"right_expr":{"type":"numeric_atoms","value":1311,"base":2}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2579,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2037,"base":2},"right_expr":{"type":"numeric_atoms","value":1935,"base":2}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1796,"base":2},"right_expr":{"type":"numeric_atoms","value":1356,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1115,"base":2},"right_expr":{"type":"numeric_atoms","value":3818,"base":2}}}}},"used_operators":["mqXw5SEYmG","RhiyfpczSx","rysDP5nf3Z","oZj3VtZNQx","XVKwrhznBb","TpPTUOHfaN","j6NVkjMzuk","wscyQdcy20","oDCm7WA9JY","vkpjKywKVM","8cLx32lpNA"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","AHs5Up7iyr","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8461","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=8461, right_input=1311, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2579","layer":4},{"info":"compute unary expreesion, input=2579, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":1},{"info":"number node, value=2037","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=1935, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=826","layer":3},{"info":"compute unary expreesion, input=826, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=8296","layer":2},{"info":"number node, value=1796","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=1356, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=3818","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=3818, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3818","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-3818, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8296, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊗(≮⫘↔10000100001101≀⫉≮⫘↔10100011111-(≮⫘↔101000010011⨘⋶⪀)))⫸⊐((≮⫘↔11111110101⫦⪉≮⫘↔11110001111)⨀⨒)+⇶⊼(≮⫘↔11100000100⇮⋭≮⫘↔10101001100⋻⩜⩜≮⫘↔10001011011∌≮⫘↔111011101010)=NaN","reverse_text":"NaN=(⊗(≮⫘↔10000100001101≀⫉≮⫘↔10100011111-(≮⫘↔101000010011⨘⋶⪀)))⫸⊐((≮⫘↔11111110101⫦⪉≮⫘↔11110001111)⨀⨒)+⇶⊼(≮⫘↔11100000100⇮⋭≮⫘↔10101001100⋻⩜⩜≮⫘↔10001011011∌≮⫘↔111011101010)","cot":[{"info":"≮⫘↔10000100001101≀⫉≮⫘↔10100011111=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔101000010011⨘⋶⪀=NaN","layer":3},{"info":"≮⫘↔101100000110-NaN=NaN","layer":2},{"info":"⊗NaN=NaN","layer":1},{"info":"≮⫘↔11111110101⫦⪉≮⫘↔11110001111=≮⫘↔1100111010","layer":3},{"info":"≮⫘↔1100111010⨀⨒=≮⫘↔10000001101000","layer":2},{"info":"≮⫘↔11100000100⇮⋭≮⫘↔10101001100=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔10001011011∌≮⫘↔111011101010=≮⫘↔-111011101010","layer":3},{"info":"≮⫘↔-111011001⋻⩜⩜≮⫘↔-111011101010=NaN","layer":2},{"info":"≮⫘↔10000001101000+⇶⊼NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"(($1243$⋐⇩⊬)≧⫂∧(⪭⩑⪱$3391$))⫁⪎($1329$∺≝⩲$3624$⪣⫩)⫲≸⪮$1747$∊∟⩊$2097$⫉⨲⊜(⊈$1589$)⪪(($2679$∪⫐$2766$)⋅⇍(⇈$3453$))","expression":"((≮⫘↔10011011011⋐⇩⊬)≧⫂∧(⪭⩑⪱≮⫘↔110100111111))⫁⪎(≮⫘↔10100110001∺≝⩲≮⫘↔111000101000⪣⫩)⫲≸⪮≮⫘↔11011010011∊∟⩊≮⫘↔100000110001⫉⨲⊜(⊈≮⫘↔11000110101)⪪((≮⫘↔101001110111∪⫐≮⫘↔101011001110)⋅⇍(⇈≮⫘↔110101111101))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":17954,"operation_count":14,"complexity_ratio":1282.4285714285713,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1243,"base":2}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3391,"base":2}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1329,"base":2},"right_expr":{"type":"numeric_atoms","value":3624,"base":2}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1747,"base":2},"right_expr":{"type":"numeric_atoms","value":2097,"base":2}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1589,"base":2}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2679,"base":2},"right_expr":{"type":"numeric_atoms","value":2766,"base":2}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":3453,"base":2}}}}},"used_operators":["P3lXMJvFrc","xRrnTEsQ6j","Ph9nP6C5qx","JuuLT1NoCs","SIgE0bArFf","iuk5sVOGFA","KPf6cnQVty","xD69zh8xqp","WhqkvtTD3t","ddLRYrp01A","RHru8klgy8","AdZkA7nFnk","7YooWSwCyH","SLLxy00UIr"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","FU0Cs4j7VP","JclMnS0uGI","eewbuw0ToL","zVYPLywUTj","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rJVOvQCfKK","2DDjHMKMc0","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1243","layer":3},{"info":"number node, value=3391","layer":4},{"info":"compute unary expreesion, input=3391, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=1243, right_input=8320752, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8320279","layer":2},{"info":"number node, value=1329","layer":4},{"info":"number node, value=3624","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=3624, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=8320279, right_input=913, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=8319366","layer":1},{"info":"number node, value=1747","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=2097, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2097","layer":3},{"info":"number node, value=1589","layer":4},{"info":"compute unary expreesion, input=1589, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1763","layer":3},{"info":"compute binary expreesion, left_input=2097, right_input=-1763, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-1873","layer":2},{"info":"number node, value=2679","layer":4},{"info":"number node, value=2766","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=2766, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2679","layer":3},{"info":"number node, value=3453","layer":4},{"info":"compute unary expreesion, input=3453, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=2679, right_input=-447, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-1873, right_input=-22, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=8319366, right_input=-6206, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011011011⋐⇩⊬)≧⫂∧(⪭⩑⪱≮⫘↔110100111111))⫁⪎(≮⫘↔10100110001∺≝⩲≮⫘↔111000101000⪣⫩)⫲≸⪮≮⫘↔11011010011∊∟⩊≮⫘↔100000110001⫉⨲⊜(⊈≮⫘↔11000110101)⪪((≮⫘↔101001110111∪⫐≮⫘↔101011001110)⋅⇍(⇈≮⫘↔110101111101))=NaN","reverse_text":"NaN=((≮⫘↔10011011011⋐⇩⊬)≧⫂∧(⪭⩑⪱≮⫘↔110100111111))⫁⪎(≮⫘↔10100110001∺≝⩲≮⫘↔111000101000⪣⫩)⫲≸⪮≮⫘↔11011010011∊∟⩊≮⫘↔100000110001⫉⨲⊜(⊈≮⫘↔11000110101)⪪((≮⫘↔101001110111∪⫐≮⫘↔101011001110)⋅⇍(⇈≮⫘↔110101111101))","cot":[{"info":"≮⫘↔10011011011⋐⇩⊬=≮⫘↔10011011011","layer":3},{"info":"⪭⩑⪱≮⫘↔110100111111=≮⫘↔11111101111011011110000","layer":3},{"info":"≮⫘↔10011011011≧⫂∧≮⫘↔11111101111011011110000=≮⫘↔11111101111010100010111","layer":2},{"info":"≮⫘↔10100110001∺≝⩲≮⫘↔111000101000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⪣⫩=≮⫘↔1110010001","layer":2},{"info":"≮⫘↔11111101111010100010111⫁⪎≮⫘↔1110010001=≮⫘↔11111101111000110000110","layer":1},{"info":"≮⫘↔11011010011∊∟⩊≮⫘↔100000110001=≮⫘↔100000110001","layer":3},{"info":"⊈≮⫘↔11000110101=≮⫘↔-11011100011","layer":3},{"info":"≮⫘↔100000110001⫉⨲⊜≮⫘↔-11011100011=≮⫘↔-11101010001","layer":2},{"info":"≮⫘↔101001110111∪⫐≮⫘↔101011001110=≮⫘↔101001110111","layer":3},{"info":"⇈≮⫘↔110101111101=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔101001110111⋅⇍≮⫘↔-110111111=≮⫘↔-10110","layer":2},{"info":"≮⫘↔-11101010001⪪≮⫘↔-10110=≮⫘↔-1100000111110","layer":1},{"info":"≮⫘↔11111101111000110000110⫲≸⪮≮⫘↔-1100000111110=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"($2672$⨎$7733$⫳≱↱(⊥$1606$))⨽∌(⇘($4482$⋓$5282$))⩣⫁∢(($1900$⪷)/$3422$⇣⩺⋵$1032$)≦↸$6536$⨽∌$4334$⨥⫆($1638$⨎$1537$)","expression":"(≮⫘↔101001110000⨎≮⫘↔1111000110101⫳≱↱(⊥≮⫘↔11001000110))⨽∌(⇘(≮⫘↔1000110000010⋓≮⫘↔1010010100010))⩣⫁∢((≮⫘↔11101101100⪷)/≮⫘↔110101011110⇣⩺⋵≮⫘↔10000001000)≦↸≮⫘↔1100110001000⨽∌≮⫘↔1000011101110⨥⫆(≮⫘↔11001100110⨎≮⫘↔11000000001)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2277,"operation_count":14,"complexity_ratio":162.64285714285714,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2672,"base":2},"right_expr":{"type":"numeric_atoms","value":7733,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1606,"base":2}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4482,"base":2},"right_expr":{"type":"numeric_atoms","value":5282,"base":2}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1900,"base":2}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3422,"base":2},"right_expr":{"type":"numeric_atoms","value":1032,"base":2}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6536,"base":2},"right_expr":{"type":"numeric_atoms","value":4334,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1638,"base":2},"right_expr":{"type":"numeric_atoms","value":1537,"base":2}}}}},"used_operators":["JDUIKTTSIa","9samAPKr6k","ZvLB05nZmT","rJVOvQCfKK","Q3PJZHRvZv","MGuIdZPyUC","T2fj7uvVaJ","RygbFNSyEJ","XhwjNDsVaA","Qctrpi3WzA","F4yD0voBRQ","yXekIHxTD4"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","fu6greOZ01","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","Nsiff2A1zJ","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2672","layer":4},{"info":"number node, value=7733","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=7733, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7733","layer":3},{"info":"number node, value=1606","layer":4},{"info":"compute unary expreesion, input=1606, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7733, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=4482","layer":4},{"info":"number node, value=5282","layer":4},{"info":"compute binary expreesion, left_input=4482, right_input=5282, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1835","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=-1835, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1900","layer":4},{"info":"compute unary expreesion, input=1900, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=3422","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=1032, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6536","layer":4},{"info":"number node, value=4334","layer":4},{"info":"compute binary expreesion, left_input=6536, right_input=4334, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1638","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=1537, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1537","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1537, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101001110000⨎≮⫘↔1111000110101⫳≱↱(⊥≮⫘↔11001000110))⨽∌(⇘(≮⫘↔1000110000010⋓≮⫘↔1010010100010))⩣⫁∢((≮⫘↔11101101100⪷)/≮⫘↔110101011110⇣⩺⋵≮⫘↔10000001000)≦↸≮⫘↔1100110001000⨽∌≮⫘↔1000011101110⨥⫆(≮⫘↔11001100110⨎≮⫘↔11000000001)=NaN","reverse_text":"NaN=(≮⫘↔101001110000⨎≮⫘↔1111000110101⫳≱↱(⊥≮⫘↔11001000110))⨽∌(⇘(≮⫘↔1000110000010⋓≮⫘↔1010010100010))⩣⫁∢((≮⫘↔11101101100⪷)/≮⫘↔110101011110⇣⩺⋵≮⫘↔10000001000)≦↸≮⫘↔1100110001000⨽∌≮⫘↔1000011101110⨥⫆(≮⫘↔11001100110⨎≮⫘↔11000000001)","cot":[{"info":"≮⫘↔101001110000⨎≮⫘↔1111000110101=≮⫘↔1111000110101","layer":3},{"info":"⊥≮⫘↔11001000110=NaN","layer":3},{"info":"≮⫘↔1111000110101⫳≱↱NaN=≮⫘↔-11001100","layer":2},{"info":"≮⫘↔1000110000010⋓≮⫘↔1010010100010=≮⫘↔0","layer":3},{"info":"⇘≮⫘↔0=≮⫘↔-11100101011","layer":2},{"info":"≮⫘↔-11001100⨽∌≮⫘↔-11100101011=≮⫘↔0","layer":1},{"info":"≮⫘↔11101101100⪷=NaN","layer":3},{"info":"≮⫘↔110101011110⇣⩺⋵≮⫘↔10000001000=≮⫘↔-100000100","layer":3},{"info":"NaN/≮⫘↔-100000100=NaN","layer":2},{"info":"≮⫘↔1100110001000⨽∌≮⫘↔1000011101110=≮⫘↔0","layer":3},{"info":"≮⫘↔11001100110⨎≮⫘↔11000000001=≮⫘↔11000000001","layer":3},{"info":"≮⫘↔0⨥⫆≮⫘↔11000000001=≮⫘↔0","layer":2},{"info":"NaN≦↸≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔0⩣⫁∢NaN=NaN","layer":0}]}
{"id":376,"expression_no_base_symbol":"((($1932$⇯⋐)⊟⇱)≋⫹)⋕⪉⪜((↸⊣(⇐$3189$))⩺⪪(↴⪽⋼$1866$⪘⫢$3167$))","expression":"(((≮⫘↔11110001100⇯⋐)⊟⇱)≋⫹)⋕⪉⪜((↸⊣(⇐≮⫘↔110001110101))⩺⪪(↴⪽⋼≮⫘↔11101001010⪘⫢≮⫘↔110001011111))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":262,"operation_count":9,"complexity_ratio":29.11111111111111,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1932,"base":2}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3189,"base":2}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1866,"base":2},"right_expr":{"type":"numeric_atoms","value":3167,"base":2}}}}},"used_operators":["z6LnFrNh4i","N41Kp7NANJ","03sUfWo75k","LkLIoiE525","uvdQJvN4PV","wztAlM01eG","nmZMaaE0Q9","5TUYCnJO6w","oacrs7FA3X"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"≮⫘↔11001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":4},{"info":"compute unary expreesion, input=1932, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6674","layer":3},{"info":"compute unary expreesion, input=6674, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=13664","layer":2},{"info":"compute unary expreesion, input=13664, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-27328","layer":1},{"info":"number node, value=3189","layer":4},{"info":"compute unary expreesion, input=3189, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=6360","layer":3},{"info":"compute unary expreesion, input=6360, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-6073","layer":2},{"info":"number node, value=1866","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=3167, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3608","layer":3},{"info":"compute unary expreesion, input=3608, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3608","layer":2},{"info":"compute binary expreesion, left_input=-6073, right_input=3608, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=-27328, right_input=-1818, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11110001100⇯⋐)⊟⇱)≋⫹)⋕⪉⪜((↸⊣(⇐≮⫘↔110001110101))⩺⪪(↴⪽⋼≮⫘↔11101001010⪘⫢≮⫘↔110001011111))=≮⫘↔11001100","reverse_text":"≮⫘↔11001100=(((≮⫘↔11110001100⇯⋐)⊟⇱)≋⫹)⋕⪉⪜((↸⊣(⇐≮⫘↔110001110101))⩺⪪(↴⪽⋼≮⫘↔11101001010⪘⫢≮⫘↔110001011111))","cot":[{"info":"≮⫘↔11110001100⇯⋐=≮⫘↔1101000010010","layer":3},{"info":"≮⫘↔1101000010010⊟⇱=≮⫘↔11010101100000","layer":2},{"info":"≮⫘↔11010101100000≋⫹=≮⫘↔-110101011000000","layer":1},{"info":"⇐≮⫘↔110001110101=≮⫘↔1100011011000","layer":3},{"info":"↸⊣≮⫘↔1100011011000=≮⫘↔-1011110111001","layer":2},{"info":"≮⫘↔11101001010⪘⫢≮⫘↔110001011111=≮⫘↔111000011000","layer":3},{"info":"↴⪽⋼≮⫘↔111000011000=≮⫘↔111000011000","layer":2},{"info":"≮⫘↔-1011110111001⩺⪪≮⫘↔111000011000=≮⫘↔-11100011010","layer":1},{"info":"≮⫘↔-110101011000000⋕⪉⪜≮⫘↔-11100011010=≮⫘↔11001100","layer":0}]}
{"id":377,"expression_no_base_symbol":"((∨∊⋏($2693$⫰⋱$2641$))-($7399$⊋$3144$)⊋($2602$⫰⋱$1779$))⩖⊿((∓⪦(≸$2604$))⊔((⫎≠⋺$1530$)∙∹∝$2176$≓∲$1051$))","expression":"((∨∊⋏(≮⫘↔101010000101⫰⋱≮⫘↔101001010001))-(≮⫘↔1110011100111⊋≮⫘↔110001001000)⊋(≮⫘↔101000101010⫰⋱≮⫘↔11011110011))⩖⊿((∓⪦(≸≮⫘↔101000101100))⊔((⫎≠⋺≮⫘↔10111111010)∙∹∝≮⫘↔100010000000≓∲≮⫘↔10000011011))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8994,"operation_count":13,"complexity_ratio":691.8461538461538,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2693,"base":2},"right_expr":{"type":"numeric_atoms","value":2641,"base":2}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7399,"base":2},"right_expr":{"type":"numeric_atoms","value":3144,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2602,"base":2},"right_expr":{"type":"numeric_atoms","value":1779,"base":2}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2604,"base":2}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1530,"base":2}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2176,"base":2},"right_expr":{"type":"numeric_atoms","value":1051,"base":2}}}}},"used_operators":["RZ5CV9rWsJ","rysDP5nf3Z","R5aXW34M0v","6o9Blt3TJ6","W4tP9CfskL","E4l6HwMY31","D309nIvmXG","eOf03JbCpp","HmxsFra2vL","LYeZOJ0nQG","s1XTVnmDOJ"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"≮⫘↔-10011111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2693","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=2641, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2660","layer":3},{"info":"compute unary expreesion, input=-2660, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-84969","layer":2},{"info":"number node, value=7399","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=7399, right_input=3144, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=105237352","layer":3},{"info":"number node, value=2602","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=2602, right_input=1779, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2569","layer":3},{"info":"compute binary expreesion, left_input=105237352, right_input=-2569, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-56834","layer":2},{"info":"compute binary expreesion, left_input=-84969, right_input=-56834, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-28135","layer":1},{"info":"number node, value=2604","layer":4},{"info":"compute unary expreesion, input=2604, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-1945","layer":2},{"info":"number node, value=1530","layer":4},{"info":"compute unary expreesion, input=1530, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=2176","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=1051, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=22543","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=22543, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1945, right_input=0, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6070","layer":1},{"info":"compute binary expreesion, left_input=-28135, right_input=6070, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-10226","layer":0}],"base":2,"result_base":2,"text":"((∨∊⋏(≮⫘↔101010000101⫰⋱≮⫘↔101001010001))-(≮⫘↔1110011100111⊋≮⫘↔110001001000)⊋(≮⫘↔101000101010⫰⋱≮⫘↔11011110011))⩖⊿((∓⪦(≸≮⫘↔101000101100))⊔((⫎≠⋺≮⫘↔10111111010)∙∹∝≮⫘↔100010000000≓∲≮⫘↔10000011011))=≮⫘↔-10011111110010","reverse_text":"≮⫘↔-10011111110010=((∨∊⋏(≮⫘↔101010000101⫰⋱≮⫘↔101001010001))-(≮⫘↔1110011100111⊋≮⫘↔110001001000)⊋(≮⫘↔101000101010⫰⋱≮⫘↔11011110011))⩖⊿((∓⪦(≸≮⫘↔101000101100))⊔((⫎≠⋺≮⫘↔10111111010)∙∹∝≮⫘↔100010000000≓∲≮⫘↔10000011011))","cot":[{"info":"≮⫘↔101010000101⫰⋱≮⫘↔101001010001=≮⫘↔-101001100100","layer":3},{"info":"∨∊⋏≮⫘↔-101001100100=≮⫘↔-10100101111101001","layer":2},{"info":"≮⫘↔1110011100111⊋≮⫘↔110001001000=≮⫘↔110010001011100101101101000","layer":3},{"info":"≮⫘↔101000101010⫰⋱≮⫘↔11011110011=≮⫘↔-101000001001","layer":3},{"info":"≮⫘↔110010001011100101101101000⊋≮⫘↔-101000001001=≮⫘↔-1101111000000010","layer":2},{"info":"≮⫘↔-10100101111101001-≮⫘↔-1101111000000010=≮⫘↔-110110111100111","layer":1},{"info":"≸≮⫘↔101000101100=≮⫘↔111010","layer":3},{"info":"∓⪦≮⫘↔111010=≮⫘↔-11110011001","layer":2},{"info":"⫎≠⋺≮⫘↔10111111010=≮⫘↔0","layer":3},{"info":"≮⫘↔100010000000≓∲≮⫘↔10000011011=≮⫘↔101100000001111","layer":3},{"info":"≮⫘↔0∙∹∝≮⫘↔101100000001111=≮⫘↔0","layer":2},{"info":"≮⫘↔-11110011001⊔≮⫘↔0=≮⫘↔1011110110110","layer":1},{"info":"≮⫘↔-110110111100111⩖⊿≮⫘↔1011110110110=≮⫘↔-10011111110010","layer":0}]}
{"id":378,"expression_no_base_symbol":"((⫛⫱⨽$1907$)⪑⩈)≨(($1503$⩨$1328$)⪪($2680$⪄$1479$))⊨(($1127$⨌↪)⨓$7465$↬$2465$⨸⪁($1888$⋥⋵⩄$1590$⊾⪯⋞(⊤⊝$6526$)))","expression":"((⫛⫱⨽≮⫘↔11101110011)⪑⩈)≨((≮⫘↔10111011111⩨≮⫘↔10100110000)⪪(≮⫘↔101001111000⪄≮⫘↔10111000111))⊨((≮⫘↔10001100111⨌↪)⨓≮⫘↔1110100101001↬≮⫘↔100110100001⨸⪁(≮⫘↔11101100000⋥⋵⩄≮⫘↔11000110110⊾⪯⋞(⊤⊝≮⫘↔1100101111110)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1793,"operation_count":14,"complexity_ratio":128.07142857142858,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1907,"base":2}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1503,"base":2},"right_expr":{"type":"numeric_atoms","value":1328,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2680,"base":2},"right_expr":{"type":"numeric_atoms","value":1479,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":1127,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7465,"base":2},"right_expr":{"type":"numeric_atoms","value":2465,"base":2}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1888,"base":2},"right_expr":{"type":"numeric_atoms","value":1590,"base":2}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":6526,"base":2}}}}},"used_operators":["vg4gO5BX6G","0KMCeP1Jsh","C6VvDP6HwP","DlLNRPXxWL","xD69zh8xqp","2DlMacCsIx","SUmda5xLS4","g55IO6H4Gj","3ViojmjbAp","cWQsF5MvuD","B5M0gjZbta","HK0tfVPux8","7t3wd0Fuz7","rXAclfmB4M"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","rGHVDoGpnC","FU0Cs4j7VP","JclMnS0uGI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","rGHVDoGpnC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","sdazOOVcIp"],"result":"≮⫘↔10010000100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1907","layer":4},{"info":"compute unary expreesion, input=1907, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=42","layer":2},{"info":"number node, value=1503","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=1328, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2680","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=1479, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-398645","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-398645, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=42, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2056","layer":1},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=7465","layer":4},{"info":"number node, value=2465","layer":4},{"info":"compute binary expreesion, left_input=7465, right_input=2465, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1888","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1888, right_input=1590, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=6526","layer":4},{"info":"compute unary expreesion, input=6526, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=11754","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=11754, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=23082","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23082, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2056, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9255","layer":0}],"base":2,"result_base":2,"text":"((⫛⫱⨽≮⫘↔11101110011)⪑⩈)≨((≮⫘↔10111011111⩨≮⫘↔10100110000)⪪(≮⫘↔101001111000⪄≮⫘↔10111000111))⊨((≮⫘↔10001100111⨌↪)⨓≮⫘↔1110100101001↬≮⫘↔100110100001⨸⪁(≮⫘↔11101100000⋥⋵⩄≮⫘↔11000110110⊾⪯⋞(⊤⊝≮⫘↔1100101111110)))=≮⫘↔10010000100111","reverse_text":"≮⫘↔10010000100111=((⫛⫱⨽≮⫘↔11101110011)⪑⩈)≨((≮⫘↔10111011111⩨≮⫘↔10100110000)⪪(≮⫘↔101001111000⪄≮⫘↔10111000111))⊨((≮⫘↔10001100111⨌↪)⨓≮⫘↔1110100101001↬≮⫘↔100110100001⨸⪁(≮⫘↔11101100000⋥⋵⩄≮⫘↔11000110110⊾⪯⋞(⊤⊝≮⫘↔1100101111110)))","cot":[{"info":"⫛⫱⨽≮⫘↔11101110011=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪑⩈=≮⫘↔101010","layer":2},{"info":"≮⫘↔10111011111⩨≮⫘↔10100110000=≮⫘↔0","layer":3},{"info":"≮⫘↔101001111000⪄≮⫘↔10111000111=≮⫘↔-1100001010100110101","layer":3},{"info":"≮⫘↔0⪪≮⫘↔-1100001010100110101=≮⫘↔0","layer":2},{"info":"≮⫘↔101010≨≮⫘↔0=≮⫘↔100000001000","layer":1},{"info":"≮⫘↔10001100111⨌↪=≮⫘↔-111100000","layer":3},{"info":"≮⫘↔1110100101001↬≮⫘↔100110100001=NaN","layer":3},{"info":"≮⫘↔-111100000⨓NaN=NaN","layer":2},{"info":"≮⫘↔11101100000⋥⋵⩄≮⫘↔11000110110=≮⫘↔1110001","layer":3},{"info":"⊤⊝≮⫘↔1100101111110=≮⫘↔10110111101010","layer":3},{"info":"≮⫘↔1110001⊾⪯⋞≮⫘↔10110111101010=≮⫘↔101101000101010","layer":2},{"info":"NaN⨸⪁≮⫘↔101101000101010=NaN","layer":1},{"info":"≮⫘↔100000001000⊨NaN=≮⫘↔10010000100111","layer":0}]}
{"id":379,"expression_no_base_symbol":"(⇜⊴$2476$≁$1735$)⪕($1617$⪝$4889$⩨($1178$/$2229$))∷$1066$⇤$1131$≳⇉$1196$↳∿⪆$3311$⨐⩸⫘((∮$2269$)⨹)","expression":"(⇜⊴≮⫘↔100110101100≁≮⫘↔11011000111)⪕(≮⫘↔11001010001⪝≮⫘↔1001100011001⩨(≮⫘↔10010011010/≮⫘↔100010110101))∷≮⫘↔10000101010⇤≮⫘↔10001101011≳⇉≮⫘↔10010101100↳∿⪆≮⫘↔110011101111⨐⩸⫘((∮≮⫘↔100011011101)⨹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25368,"operation_count":13,"complexity_ratio":1951.3846153846155,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2476,"base":2},"right_expr":{"type":"numeric_atoms","value":1735,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1617,"base":2},"right_expr":{"type":"numeric_atoms","value":4889,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1178,"base":2},"right_expr":{"type":"numeric_atoms","value":2229,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1066,"base":2},"right_expr":{"type":"numeric_atoms","value":1131,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1196,"base":2},"right_expr":{"type":"numeric_atoms","value":3311,"base":2}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2269,"base":2}}}}},"used_operators":["D3AQDKkPcf","umQnsF7QlU","XwDhCwWbUn","8N2wDY1A35","2DlMacCsIx","wicAB68Tmb","XhwjNDsVaA","fu6greOZ01","V0kx6qeWkN","YSKBFp38Pu","Cw4SuJJGHO","UnCoSGIALn","CqXKPLVYql"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","3ViojmjbAp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","mp7IySMOzn","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"≮⫘↔-1011100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2476","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=1735, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=28439","layer":3},{"info":"compute unary expreesion, input=28439, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-6697890","layer":2},{"info":"number node, value=1617","layer":4},{"info":"number node, value=4889","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=4889, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1178","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=2229, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-6697890, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1131, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-8137","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=3311","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=3311, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8137, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=2269","layer":4},{"info":"compute unary expreesion, input=2269, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=134, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-137","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=-137, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-739","layer":0}],"base":2,"result_base":2,"text":"(⇜⊴≮⫘↔100110101100≁≮⫘↔11011000111)⪕(≮⫘↔11001010001⪝≮⫘↔1001100011001⩨(≮⫘↔10010011010/≮⫘↔100010110101))∷≮⫘↔10000101010⇤≮⫘↔10001101011≳⇉≮⫘↔10010101100↳∿⪆≮⫘↔110011101111⨐⩸⫘((∮≮⫘↔100011011101)⨹)=≮⫘↔-1011100011","reverse_text":"≮⫘↔-1011100011=(⇜⊴≮⫘↔100110101100≁≮⫘↔11011000111)⪕(≮⫘↔11001010001⪝≮⫘↔1001100011001⩨(≮⫘↔10010011010/≮⫘↔100010110101))∷≮⫘↔10000101010⇤≮⫘↔10001101011≳⇉≮⫘↔10010101100↳∿⪆≮⫘↔110011101111⨐⩸⫘((∮≮⫘↔100011011101)⨹)","cot":[{"info":"≮⫘↔100110101100≁≮⫘↔11011000111=≮⫘↔110111100010111","layer":3},{"info":"⇜⊴≮⫘↔110111100010111=≮⫘↔-11001100011001110100010","layer":2},{"info":"≮⫘↔11001010001⪝≮⫘↔1001100011001=≮⫘↔11101101","layer":3},{"info":"≮⫘↔10010011010/≮⫘↔100010110101=≮⫘↔0","layer":3},{"info":"≮⫘↔11101101⩨≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-11001100011001110100010⪕≮⫘↔0=≮⫘↔-110111","layer":1},{"info":"≮⫘↔10000101010⇤≮⫘↔10001101011=≮⫘↔-1111111001001","layer":3},{"info":"≮⫘↔10010101100↳∿⪆≮⫘↔110011101111=NaN","layer":3},{"info":"≮⫘↔-1111111001001≳⇉NaN=NaN","layer":2},{"info":"∮≮⫘↔100011011101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1000011⨹=≮⫘↔10000110","layer":2},{"info":"NaN⨐⩸⫘≮⫘↔10000110=≮⫘↔-10001001","layer":1},{"info":"≮⫘↔-110111∷≮⫘↔-10001001=≮⫘↔-1011100011","layer":0}]}
{"id":380,"expression_no_base_symbol":"(⊀$1396$)⋣⋖(⩎⋉$3673$)≃$5198$⪝$3296$⋓($2375$∠⫱$3887$)∐⫣","expression":"(⊀≮⫘↔10101110100)⋣⋖(⩎⋉≮⫘↔111001011001)≃≮⫘↔1010001001110⪝≮⫘↔110011100000⋓(≮⫘↔100101000111∠⫱≮⫘↔111100101111)∐⫣","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":567,"operation_count":8,"complexity_ratio":70.875,"tree":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1396,"base":2}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":3673,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5198,"base":2},"right_expr":{"type":"numeric_atoms","value":3296,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2375,"base":2},"right_expr":{"type":"numeric_atoms","value":3887,"base":2}}}}},"used_operators":["4CyGpkTkEk","YbVcJGFEVW","J0M6qkBnIM","oPMjh9089D","FlXk3pOYe8","T2fj7uvVaJ","wicAB68Tmb","QvoQhV0rrE"],"dependent_operators":["XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"≮⫘↔1000100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1396","layer":4},{"info":"compute unary expreesion, input=1396, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5322","layer":3},{"info":"number node, value=3673","layer":4},{"info":"compute unary expreesion, input=3673, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=5322, right_input=1650, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5322","layer":2},{"info":"number node, value=5198","layer":4},{"info":"number node, value=3296","layer":4},{"info":"compute binary expreesion, left_input=5198, right_input=3296, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-8007","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=3887, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-8007, right_input=1234, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5322, right_input=0, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-80","layer":1},{"info":"compute unary expreesion, input=-80, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":0}],"base":2,"result_base":2,"text":"(⊀≮⫘↔10101110100)⋣⋖(⩎⋉≮⫘↔111001011001)≃≮⫘↔1010001001110⪝≮⫘↔110011100000⋓(≮⫘↔100101000111∠⫱≮⫘↔111100101111)∐⫣=≮⫘↔1000100111","reverse_text":"≮⫘↔1000100111=(⊀≮⫘↔10101110100)⋣⋖(⩎⋉≮⫘↔111001011001)≃≮⫘↔1010001001110⪝≮⫘↔110011100000⋓(≮⫘↔100101000111∠⫱≮⫘↔111100101111)∐⫣","cot":[{"info":"⊀≮⫘↔10101110100=≮⫘↔1010011001010","layer":3},{"info":"⩎⋉≮⫘↔111001011001=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔1010011001010⋣⋖≮⫘↔11001110010=≮⫘↔1010011001010","layer":2},{"info":"≮⫘↔1010001001110⪝≮⫘↔110011100000=≮⫘↔-1111101000111","layer":3},{"info":"≮⫘↔100101000111∠⫱≮⫘↔111100101111=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-1111101000111⋓≮⫘↔10011010010=≮⫘↔0","layer":2},{"info":"≮⫘↔1010011001010≃≮⫘↔0=≮⫘↔-1010000","layer":1},{"info":"≮⫘↔-1010000∐⫣=≮⫘↔1000100111","layer":0}]}
{"id":381,"expression_no_base_symbol":"⇖⫷⫕((⪁⇼($8173$⨽$2906$))⇣⩺⋵(($4757$⊾⪯⋞$1173$)⩧⪆(⨵≀≌$3018$)))","expression":"⇖⫷⫕((⪁⇼(≮⫘↔1111111101101⨽≮⫘↔101101011010))⇣⩺⋵((≮⫘↔1001010010101⊾⪯⋞≮⫘↔10010010101)⩧⪆(⨵≀≌≮⫘↔101111001010)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9301,"operation_count":7,"complexity_ratio":1328.7142857142858,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8173,"base":2},"right_expr":{"type":"numeric_atoms","value":2906,"base":2}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4757,"base":2},"right_expr":{"type":"numeric_atoms","value":1173,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3018,"base":2}}}}},"used_operators":["UHmRx3INFg","F4yD0voBRQ","ZNVVrZ94lY","8HhzD0ZcuI","Ikt5ks8PT7","HK0tfVPux8","srAu1WTS94"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eewbuw0ToL","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"≮⫘↔101100000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8173","layer":4},{"info":"number node, value=2906","layer":4},{"info":"compute binary expreesion, left_input=8173, right_input=2906, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-200401191","layer":3},{"info":"compute unary expreesion, input=-200401191, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=4757","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=4757, right_input=1173, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1920","layer":3},{"info":"number node, value=3018","layer":4},{"info":"compute unary expreesion, input=3018, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9054","layer":3},{"info":"compute binary expreesion, left_input=1920, right_input=-9054, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=9054","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=9054, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-16358","layer":1},{"info":"compute unary expreesion, input=-16358, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":2,"result_base":2,"text":"⇖⫷⫕((⪁⇼(≮⫘↔1111111101101⨽≮⫘↔101101011010))⇣⩺⋵((≮⫘↔1001010010101⊾⪯⋞≮⫘↔10010010101)⩧⪆(⨵≀≌≮⫘↔101111001010)))=≮⫘↔101100000110","reverse_text":"≮⫘↔101100000110=⇖⫷⫕((⪁⇼(≮⫘↔1111111101101⨽≮⫘↔101101011010))⇣⩺⋵((≮⫘↔1001010010101⊾⪯⋞≮⫘↔10010010101)⩧⪆(⨵≀≌≮⫘↔101111001010)))","cot":[{"info":"≮⫘↔1111111101101⨽≮⫘↔101101011010=≮⫘↔-1011111100011110000100100111","layer":3},{"info":"⪁⇼≮⫘↔-1011111100011110000100100111=≮⫘↔110100110","layer":2},{"info":"≮⫘↔1001010010101⊾⪯⋞≮⫘↔10010010101=≮⫘↔11110000000","layer":3},{"info":"⨵≀≌≮⫘↔101111001010=≮⫘↔-10001101011110","layer":3},{"info":"≮⫘↔11110000000⩧⪆≮⫘↔-10001101011110=≮⫘↔10001101011110","layer":2},{"info":"≮⫘↔110100110⇣⩺⋵≮⫘↔10001101011110=≮⫘↔-11111111100110","layer":1},{"info":"⇖⫷⫕≮⫘↔-11111111100110=≮⫘↔101100000110","layer":0}]}
{"id":382,"expression_no_base_symbol":"((($8503$⩎⪣⊞)⇗⋫)-$3725$⩣⫁∢$6469$≀⫉($1183$⊹∫⫚$2351$))⊹∫⫚($3856$⨪↰⇹$4873$-$1384$∓⋝$2301$)∓⋝((≋$2293$)∷$2531$≹⇙⪍$3705$)","expression":"(((≮⫘↔10000100110111⩎⪣⊞)⇗⋫)-≮⫘↔111010001101⩣⫁∢≮⫘↔1100101000101≀⫉(≮⫘↔10010011111⊹∫⫚≮⫘↔100100101111))⊹∫⫚(≮⫘↔111100010000⨪↰⇹≮⫘↔1001100001001-≮⫘↔10101101000∓⋝≮⫘↔100011111101)∓⋝((≋≮⫘↔100011110101)∷≮⫘↔100111100011≹⇙⪍≮⫘↔111001111001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":123192,"operation_count":14,"complexity_ratio":8799.42857142857,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":8503,"base":2}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3725,"base":2},"right_expr":{"type":"numeric_atoms","value":6469,"base":2}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1183,"base":2},"right_expr":{"type":"numeric_atoms","value":2351,"base":2}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3856,"base":2},"right_expr":{"type":"numeric_atoms","value":4873,"base":2}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1384,"base":2},"right_expr":{"type":"numeric_atoms","value":2301,"base":2}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2293,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2531,"base":2},"right_expr":{"type":"numeric_atoms","value":3705,"base":2}}}}},"used_operators":["uWAJUKEvyW","rysDP5nf3Z","hpqmaQFPrd","waWucp1uQ4","oZj3VtZNQx","JDUIKTTSIa","PoHhknlbAi","tmPS8pqC7x","D3AQDKkPcf","61wBmkZwlr","AHs5Up7iyr"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rxpJgHHUmx","mp7IySMOzn","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g","7j4O788W3g","dWAJyo7jo9"],"result":"≮⫘↔-10000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8503","layer":4},{"info":"compute unary expreesion, input=8503, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=17006","layer":3},{"info":"compute unary expreesion, input=17006, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=3725","layer":4},{"info":"number node, value=6469","layer":4},{"info":"compute binary expreesion, left_input=3725, right_input=6469, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7289","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=2351, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-100","layer":3},{"info":"compute binary expreesion, left_input=-7289, right_input=-100, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3856","layer":4},{"info":"number node, value=4873","layer":4},{"info":"compute binary expreesion, left_input=3856, right_input=4873, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3856","layer":3},{"info":"number node, value=1384","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=2301, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=3856, right_input=67, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3789","layer":2},{"info":"number node, value=2293","layer":4},{"info":"compute unary expreesion, input=2293, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2293","layer":3},{"info":"number node, value=2531","layer":4},{"info":"number node, value=3705","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=3705, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2293, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3789, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-128","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10000100110111⩎⪣⊞)⇗⋫)-≮⫘↔111010001101⩣⫁∢≮⫘↔1100101000101≀⫉(≮⫘↔10010011111⊹∫⫚≮⫘↔100100101111))⊹∫⫚(≮⫘↔111100010000⨪↰⇹≮⫘↔1001100001001-≮⫘↔10101101000∓⋝≮⫘↔100011111101)∓⋝((≋≮⫘↔100011110101)∷≮⫘↔100111100011≹⇙⪍≮⫘↔111001111001)=≮⫘↔-10000000","reverse_text":"≮⫘↔-10000000=(((≮⫘↔10000100110111⩎⪣⊞)⇗⋫)-≮⫘↔111010001101⩣⫁∢≮⫘↔1100101000101≀⫉(≮⫘↔10010011111⊹∫⫚≮⫘↔100100101111))⊹∫⫚(≮⫘↔111100010000⨪↰⇹≮⫘↔1001100001001-≮⫘↔10101101000∓⋝≮⫘↔100011111101)∓⋝((≋≮⫘↔100011110101)∷≮⫘↔100111100011≹⇙⪍≮⫘↔111001111001)","cot":[{"info":"≮⫘↔10000100110111⩎⪣⊞=≮⫘↔100001001101110","layer":3},{"info":"≮⫘↔100001001101110⇗⋫=NaN","layer":2},{"info":"≮⫘↔111010001101⩣⫁∢≮⫘↔1100101000101=≮⫘↔-1110001111001","layer":3},{"info":"≮⫘↔10010011111⊹∫⫚≮⫘↔100100101111=≮⫘↔-1100100","layer":3},{"info":"≮⫘↔-1110001111001≀⫉≮⫘↔-1100100=≮⫘↔101100000110","layer":2},{"info":"NaN-≮⫘↔101100000110=NaN","layer":1},{"info":"≮⫘↔111100010000⨪↰⇹≮⫘↔1001100001001=≮⫘↔111100010000","layer":3},{"info":"≮⫘↔10101101000∓⋝≮⫘↔100011111101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔111100010000-≮⫘↔1000011=≮⫘↔111011001101","layer":2},{"info":"≋≮⫘↔100011110101=≮⫘↔100011110101","layer":3},{"info":"≮⫘↔100111100011≹⇙⪍≮⫘↔111001111001=NaN","layer":3},{"info":"≮⫘↔100011110101∷NaN=NaN","layer":2},{"info":"≮⫘↔111011001101∓⋝NaN=≮⫘↔1000011","layer":1},{"info":"NaN⊹∫⫚≮⫘↔1000011=≮⫘↔-10000000","layer":0}]}
{"id":383,"expression_no_base_symbol":"((($2712$⋩≍≻)⊴⇁⪶)⋻⩜⩜(↨⩢⫨($2495$↰)))⪥(⋗⩴⪓($1205$⋐⇩⊬))↹⊜(⩎⋉($4250$⪶≀⋏$3337$))","expression":"(((≮⫘↔101010011000⋩≍≻)⊴⇁⪶)⋻⩜⩜(↨⩢⫨(≮⫘↔100110111111↰)))⪥(⋗⩴⪓(≮⫘↔10010110101⋐⇩⊬))↹⊜(⩎⋉(≮⫘↔1000010011010⪶≀⋏≮⫘↔110100001001))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1695,"operation_count":11,"complexity_ratio":154.0909090909091,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2712,"base":2}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":2495,"base":2}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1205,"base":2}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4250,"base":2},"right_expr":{"type":"numeric_atoms","value":3337,"base":2}}}}},"used_operators":["QbnwKVWMIQ","oDCm7WA9JY","oo9mF6JIpo","WYd1w68Nbz","Z5CJsN7DuW","bl5wxAcryP","9bazX3JMtO","nOKPl9n5zu","JuuLT1NoCs","FlXk3pOYe8","zR4jO40bMj"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","nCS4ZIUYfx","Z2TMIBDE3Q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≮⫘↔-11100000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2712","layer":4},{"info":"compute unary expreesion, input=2712, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=-8668","layer":2},{"info":"number node, value=2495","layer":4},{"info":"compute unary expreesion, input=2495, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=2394","layer":3},{"info":"compute unary expreesion, input=2394, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-8668, right_input=0, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=0","layer":1},{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1205","layer":3},{"info":"compute unary expreesion, input=1205, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-292","layer":2},{"info":"number node, value=4250","layer":4},{"info":"number node, value=3337","layer":4},{"info":"compute binary expreesion, left_input=4250, right_input=3337, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19656","layer":3},{"info":"compute unary expreesion, input=-19656, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=-292, right_input=1650, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-13296","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-13296, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101010011000⋩≍≻)⊴⇁⪶)⋻⩜⩜(↨⩢⫨(≮⫘↔100110111111↰)))⪥(⋗⩴⪓(≮⫘↔10010110101⋐⇩⊬))↹⊜(⩎⋉(≮⫘↔1000010011010⪶≀⋏≮⫘↔110100001001))=≮⫘↔-11100000110","reverse_text":"≮⫘↔-11100000110=(((≮⫘↔101010011000⋩≍≻)⊴⇁⪶)⋻⩜⩜(↨⩢⫨(≮⫘↔100110111111↰)))⪥(⋗⩴⪓(≮⫘↔10010110101⋐⇩⊬))↹⊜(⩎⋉(≮⫘↔1000010011010⪶≀⋏≮⫘↔110100001001))","cot":[{"info":"≮⫘↔101010011000⋩≍≻=≮⫘↔-110111","layer":3},{"info":"≮⫘↔-110111⊴⇁⪶=≮⫘↔-10000111011100","layer":2},{"info":"≮⫘↔100110111111↰=≮⫘↔100101011010","layer":3},{"info":"↨⩢⫨≮⫘↔100101011010=≮⫘↔0","layer":2},{"info":"≮⫘↔-10000111011100⋻⩜⩜≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10010110101⋐⇩⊬=≮⫘↔10010110101","layer":3},{"info":"⋗⩴⪓≮⫘↔10010110101=≮⫘↔-100100100","layer":2},{"info":"≮⫘↔1000010011010⪶≀⋏≮⫘↔110100001001=≮⫘↔-100110011001000","layer":3},{"info":"⩎⋉≮⫘↔-100110011001000=≮⫘↔11001110010","layer":2},{"info":"≮⫘↔-100100100↹⊜≮⫘↔11001110010=≮⫘↔-11001111110000","layer":1},{"info":"≮⫘↔0⪥≮⫘↔-11001111110000=≮⫘↔-11100000110","layer":0}]}
{"id":384,"expression_no_base_symbol":"($5306$⇷$3976$∀⋜↑)-($5794$⋾⨃∁$4235$≦≮≮)⨵⪆($7610$⩌⋺$1135$∠↢(⇠$3758$))+⪬∐((∑⇻≧$4374$)⪪(⪡⇡≛$5998$))","expression":"(≮⫘↔1010010111010⇷≮⫘↔111110001000∀⋜↑)-(≮⫘↔1011010100010⋾⨃∁≮⫘↔1000010001011≦≮≮)⨵⪆(≮⫘↔1110110111010⩌⋺≮⫘↔10001101111∠↢(⇠≮⫘↔111010101110))+⪬∐((∑⇻≧≮⫘↔1000100010110)⪪(⪡⇡≛≮⫘↔1011101101110))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":176151,"operation_count":13,"complexity_ratio":13550.076923076924,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5306,"base":2},"right_expr":{"type":"numeric_atoms","value":3976,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5794,"base":2},"right_expr":{"type":"numeric_atoms","value":4235,"base":2}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":7610,"base":2},"right_expr":{"type":"numeric_atoms","value":1135,"base":2}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":3758,"base":2}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":4374,"base":2}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":5998,"base":2}}}}},"used_operators":["2DQ55sFlQl","rysDP5nf3Z","KipPnG1M2J","mp7IySMOzn","D4vGDi5EA2","212REbPD9h","2GS7woTJqF","KbjG8mgYpV","g7Hmc5v1ko","18saOjeKKm","xD69zh8xqp","l1M9WJ3V7u","qL4PrbW1Dq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","FU0Cs4j7VP","JclMnS0uGI","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5306","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=5306, right_input=3976, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7952","layer":3},{"info":"compute unary expreesion, input=7952, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":2},{"info":"number node, value=5794","layer":4},{"info":"number node, value=4235","layer":4},{"info":"compute binary expreesion, left_input=5794, right_input=4235, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=179301336","layer":3},{"info":"compute unary expreesion, input=179301336, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-537904008","layer":2},{"info":"compute binary expreesion, left_input=-484, right_input=-537904008, op_id = rysDP5nf3Z binary_op_definition= 'None', output=537903524","layer":1},{"info":"number node, value=7610","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=7610, right_input=1135, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8866","layer":3},{"info":"number node, value=3758","layer":4},{"info":"compute unary expreesion, input=3758, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3516","layer":3},{"info":"compute binary expreesion, left_input=-8866, right_input=-3516, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=85770","layer":2},{"info":"number node, value=4374","layer":4},{"info":"compute unary expreesion, input=4374, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=5998","layer":4},{"info":"compute unary expreesion, input=5998, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-5998","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=-5998, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-4637726","layer":2},{"info":"compute binary expreesion, left_input=85770, right_input=-4637726, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-257310","layer":1},{"info":"compute binary expreesion, left_input=537903524, right_input=-257310, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010010111010⇷≮⫘↔111110001000∀⋜↑)-(≮⫘↔1011010100010⋾⨃∁≮⫘↔1000010001011≦≮≮)⨵⪆(≮⫘↔1110110111010⩌⋺≮⫘↔10001101111∠↢(⇠≮⫘↔111010101110))+⪬∐((∑⇻≧≮⫘↔1000100010110)⪪(⪡⇡≛≮⫘↔1011101101110))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔1010010111010⇷≮⫘↔111110001000∀⋜↑)-(≮⫘↔1011010100010⋾⨃∁≮⫘↔1000010001011≦≮≮)⨵⪆(≮⫘↔1110110111010⩌⋺≮⫘↔10001101111∠↢(⇠≮⫘↔111010101110))+⪬∐((∑⇻≧≮⫘↔1000100010110)⪪(⪡⇡≛≮⫘↔1011101101110))","cot":[{"info":"≮⫘↔1010010111010⇷≮⫘↔111110001000=≮⫘↔1111100010000","layer":3},{"info":"≮⫘↔1111100010000∀⋜↑=≮⫘↔-111100100","layer":2},{"info":"≮⫘↔1011010100010⋾⨃∁≮⫘↔1000010001011=≮⫘↔1010101011111110101111011000","layer":3},{"info":"≮⫘↔1010101011111110101111011000≦≮≮=≮⫘↔-100000000011111100001110001000","layer":2},{"info":"≮⫘↔-111100100-≮⫘↔-100000000011111100001110001000=≮⫘↔100000000011111100000110100100","layer":1},{"info":"≮⫘↔1110110111010⩌⋺≮⫘↔10001101111=≮⫘↔-10001010100010","layer":3},{"info":"⇠≮⫘↔111010101110=≮⫘↔-110110111100","layer":3},{"info":"≮⫘↔-10001010100010∠↢≮⫘↔-110110111100=≮⫘↔10100111100001010","layer":2},{"info":"∑⇻≧≮⫘↔1000100010110=≮⫘↔-1101010100","layer":3},{"info":"⪡⇡≛≮⫘↔1011101101110=≮⫘↔-1011101101110","layer":3},{"info":"≮⫘↔-1101010100⪪≮⫘↔-1011101101110=≮⫘↔-10001101100010000011110","layer":2},{"info":"≮⫘↔10100111100001010+⪬∐≮⫘↔-10001101100010000011110=≮⫘↔-111110110100011110","layer":1},{"info":"≮⫘↔100000000011111100000110100100⨵⪆≮⫘↔-111110110100011110=≮⫘↔10100000","layer":0}]}
{"id":385,"expression_no_base_symbol":"((⋃$2255$⩁⩘$1837$)⊭∹↮)↫","expression":"((⋃≮⫘↔100011001111⩁⩘≮⫘↔11100101101)⊭∹↮)↫","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":4,"complexity_ratio":7.75,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2255,"base":2},"right_expr":{"type":"numeric_atoms","value":1837,"base":2}}}}},"used_operators":["uPb5QRN0te","xNBdhnnwKq","3mBM5G4a3l","gub5Cegaqo"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","g55IO6H4Gj","DpFCA1CohY","IWmyXbctLI"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2255","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=1837, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8296","layer":3},{"info":"compute unary expreesion, input=8296, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=16694","layer":2},{"info":"compute unary expreesion, input=16694, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=33388","layer":1},{"info":"compute unary expreesion, input=33388, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"((⋃≮⫘↔100011001111⩁⩘≮⫘↔11100101101)⊭∹↮)↫=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((⋃≮⫘↔100011001111⩁⩘≮⫘↔11100101101)⊭∹↮)↫","cot":[{"info":"≮⫘↔100011001111⩁⩘≮⫘↔11100101101=≮⫘↔10000001101000","layer":3},{"info":"⋃≮⫘↔10000001101000=≮⫘↔100000100110110","layer":2},{"info":"≮⫘↔100000100110110⊭∹↮=≮⫘↔1000001001101100","layer":1},{"info":"≮⫘↔1000001001101100↫=≮⫘↔10100000","layer":0}]}
{"id":386,"expression_no_base_symbol":"∂((⩩$5806$)⪭≯(⪁⇼$2612$))⋕⪉⪜($3542$⋛$1600$⫚↹⊑$3479$⨿$1011$)","expression":"∂((⩩≮⫘↔1011010101110)⪭≯(⪁⇼≮⫘↔101000110100))⋕⪉⪜(≮⫘↔110111010110⋛≮⫘↔11001000000⫚↹⊑≮⫘↔110110010111⨿≮⫘↔1111110011)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7459,"operation_count":8,"complexity_ratio":932.375,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":5806,"base":2}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":2612,"base":2}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3542,"base":2},"right_expr":{"type":"numeric_atoms","value":1600,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3479,"base":2},"right_expr":{"type":"numeric_atoms","value":1011,"base":2}}}}},"used_operators":["Uaa54Peajs","z6LnFrNh4i","XAx5wpdLa6","kMhfGuqI2H","ZNVVrZ94lY","dfKe02y8D2","YbUVn0Rbpy","abYXlopdE0"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5806","layer":4},{"info":"compute unary expreesion, input=5806, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=2612","layer":4},{"info":"compute unary expreesion, input=2612, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=422, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=3542","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=1600, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-100314","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=1011, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-100314, right_input=-319, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute unary expreesion, input=204, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∂((⩩≮⫘↔1011010101110)⪭≯(⪁⇼≮⫘↔101000110100))⋕⪉⪜(≮⫘↔110111010110⋛≮⫘↔11001000000⫚↹⊑≮⫘↔110110010111⨿≮⫘↔1111110011)=NaN","reverse_text":"NaN=∂((⩩≮⫘↔1011010101110)⪭≯(⪁⇼≮⫘↔101000110100))⋕⪉⪜(≮⫘↔110111010110⋛≮⫘↔11001000000⫚↹⊑≮⫘↔110110010111⨿≮⫘↔1111110011)","cot":[{"info":"⩩≮⫘↔1011010101110=NaN","layer":3},{"info":"⪁⇼≮⫘↔101000110100=≮⫘↔110100110","layer":3},{"info":"NaN⪭≯≮⫘↔110100110=NaN","layer":2},{"info":"≮⫘↔110111010110⋛≮⫘↔11001000000=≮⫘↔-11000011111011010","layer":3},{"info":"≮⫘↔110110010111⨿≮⫘↔1111110011=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔-11000011111011010⫚↹⊑≮⫘↔-100111111=≮⫘↔-110111111","layer":2},{"info":"NaN⋕⪉⪜≮⫘↔-110111111=≮⫘↔11001100","layer":1},{"info":"∂≮⫘↔11001100=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"(($2320$⊘)⨳⩥⨓(⨈⪑$7169$))≒∊(⨦⪝$4216$)⪒⊣⊆($5350$⩘$1087$)⨔≚≋(⊆⋠(⊿$6728$⋓$3226$))","expression":"((≮⫘↔100100010000⊘)⨳⩥⨓(⨈⪑≮⫘↔1110000000001))≒∊(⨦⪝≮⫘↔1000001111000)⪒⊣⊆(≮⫘↔1010011100110⩘≮⫘↔10000111111)⨔≚≋(⊆⋠(⊿≮⫘↔1101001001000⋓≮⫘↔110010011010))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":418,"operation_count":11,"complexity_ratio":38.0,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2320,"base":2}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":7169,"base":2}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":4216,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5350,"base":2},"right_expr":{"type":"numeric_atoms","value":1087,"base":2}}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6728,"base":2},"right_expr":{"type":"numeric_atoms","value":3226,"base":2}}}}},"used_operators":["Z57zeUYC9z","5KTvxBwnZo","nCS4ZIUYfx","gu96TGCTMs","mp94q5OcYM","eRqsBgTDFp","SUjycxNXIR","cHh1gJQ2o6","EBhcHTkKd8","DO4fhlbJSI","T2fj7uvVaJ"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","sdazOOVcIp","W4YGzv6Whe","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≮⫘↔100000001111000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2320","layer":4},{"info":"compute unary expreesion, input=2320, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=7169","layer":4},{"info":"compute unary expreesion, input=7169, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=868","layer":2},{"info":"number node, value=4216","layer":4},{"info":"compute unary expreesion, input=4216, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=5350","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=5350, right_input=1087, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4190","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=4190, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-384","layer":1},{"info":"number node, value=6728","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=6728, right_input=3226, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-738","layer":2},{"info":"compute unary expreesion, input=-738, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=-16081","layer":1},{"info":"compute binary expreesion, left_input=-384, right_input=-16081, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=132032","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100100010000⊘)⨳⩥⨓(⨈⪑≮⫘↔1110000000001))≒∊(⨦⪝≮⫘↔1000001111000)⪒⊣⊆(≮⫘↔1010011100110⩘≮⫘↔10000111111)⨔≚≋(⊆⋠(⊿≮⫘↔1101001001000⋓≮⫘↔110010011010))=≮⫘↔100000001111000000","reverse_text":"≮⫘↔100000001111000000=((≮⫘↔100100010000⊘)⨳⩥⨓(⨈⪑≮⫘↔1110000000001))≒∊(⨦⪝≮⫘↔1000001111000)⪒⊣⊆(≮⫘↔1010011100110⩘≮⫘↔10000111111)⨔≚≋(⊆⋠(⊿≮⫘↔1101001001000⋓≮⫘↔110010011010))","cot":[{"info":"≮⫘↔100100010000⊘=≮⫘↔0","layer":3},{"info":"⨈⪑≮⫘↔1110000000001=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔0⨳⩥⨓≮⫘↔1101100100=≮⫘↔1101100100","layer":2},{"info":"⨦⪝≮⫘↔1000001111000=≮⫘↔-11101011100","layer":3},{"info":"≮⫘↔1010011100110⩘≮⫘↔10000111111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-11101011100⪒⊣⊆≮⫘↔10100000=≮⫘↔1000001011110","layer":2},{"info":"≮⫘↔1101100100≒∊≮⫘↔1000001011110=≮⫘↔-110000000","layer":1},{"info":"≮⫘↔1101001001000⋓≮⫘↔110010011010=≮⫘↔0","layer":3},{"info":"⊿≮⫘↔0=≮⫘↔-1011100010","layer":2},{"info":"⊆⋠≮⫘↔-1011100010=≮⫘↔-11111011010001","layer":1},{"info":"≮⫘↔-110000000⨔≚≋≮⫘↔-11111011010001=≮⫘↔100000001111000000","layer":0}]}
{"id":388,"expression_no_base_symbol":"(⊽($4107$⊲⩕⊾$1813$∵≐))⊚⫡⫭","expression":"(⊽(≮⫘↔1000000001011⊲⩕⊾≮⫘↔11100010101∵≐))⊚⫡⫭","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":62,"operation_count":4,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4107,"base":2},"right_expr":{"type":"numeric_atoms","value":1813,"base":2}}}}},"used_operators":["SpZWOsLKZJ","QxG7OkqoLX","59igzFyhWz","DmTXOeWf9t"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"≮⫘↔-1001110101010011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4107","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=1813, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-80472","layer":3},{"info":"compute unary expreesion, input=-80472, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=80022","layer":2},{"info":"compute unary expreesion, input=80022, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=161566","layer":1},{"info":"compute unary expreesion, input=161566, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-322206","layer":0}],"base":2,"result_base":2,"text":"(⊽(≮⫘↔1000000001011⊲⩕⊾≮⫘↔11100010101∵≐))⊚⫡⫭=≮⫘↔-1001110101010011110","reverse_text":"≮⫘↔-1001110101010011110=(⊽(≮⫘↔1000000001011⊲⩕⊾≮⫘↔11100010101∵≐))⊚⫡⫭","cot":[{"info":"≮⫘↔1000000001011⊲⩕⊾≮⫘↔11100010101=≮⫘↔-10011101001011000","layer":3},{"info":"≮⫘↔-10011101001011000∵≐=≮⫘↔10011100010010110","layer":2},{"info":"⊽≮⫘↔10011100010010110=≮⫘↔100111011100011110","layer":1},{"info":"≮⫘↔100111011100011110⊚⫡⫭=≮⫘↔-1001110101010011110","layer":0}]}
{"id":389,"expression_no_base_symbol":"⫡⇟⇯(($4067$⨪↰⇹$4556$)⨟⋌⩍($1907$⇣⩺⋵$4199$))≦↸(($1076$⊹∫⫚$2588$)⊉↱≁($4131$≓∲$3190$))","expression":"⫡⇟⇯((≮⫘↔111111100011⨪↰⇹≮⫘↔1000111001100)⨟⋌⩍(≮⫘↔11101110011⇣⩺⋵≮⫘↔1000001100111))≦↸((≮⫘↔10000110100⊹∫⫚≮⫘↔101000011100)⊉↱≁(≮⫘↔1000000100011≓∲≮⫘↔110001110110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7585,"operation_count":8,"complexity_ratio":948.125,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4067,"base":2},"right_expr":{"type":"numeric_atoms","value":4556,"base":2}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1907,"base":2},"right_expr":{"type":"numeric_atoms","value":4199,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1076,"base":2},"right_expr":{"type":"numeric_atoms","value":2588,"base":2}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4131,"base":2},"right_expr":{"type":"numeric_atoms","value":3190,"base":2}}}}},"used_operators":["qWUSsah53b","RygbFNSyEJ","rGHVDoGpnC","tmPS8pqC7x","F4yD0voBRQ","w2P8NbNXyL","uWAJUKEvyW","s1XTVnmDOJ"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Tcnh7f0tEr","rJVOvQCfKK","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"≮⫘↔100010110110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4067","layer":4},{"info":"number node, value=4556","layer":4},{"info":"compute binary expreesion, left_input=4067, right_input=4556, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4067","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=4199, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-708","layer":3},{"info":"compute binary expreesion, left_input=4067, right_input=-708, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2588","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2588, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-340","layer":3},{"info":"number node, value=4131","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=3190, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=42093","layer":3},{"info":"compute binary expreesion, left_input=-340, right_input=42093, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-257072","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-257072, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=681","layer":1},{"info":"compute unary expreesion, input=681, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2230","layer":0}],"base":2,"result_base":2,"text":"⫡⇟⇯((≮⫘↔111111100011⨪↰⇹≮⫘↔1000111001100)⨟⋌⩍(≮⫘↔11101110011⇣⩺⋵≮⫘↔1000001100111))≦↸((≮⫘↔10000110100⊹∫⫚≮⫘↔101000011100)⊉↱≁(≮⫘↔1000000100011≓∲≮⫘↔110001110110))=≮⫘↔100010110110","reverse_text":"≮⫘↔100010110110=⫡⇟⇯((≮⫘↔111111100011⨪↰⇹≮⫘↔1000111001100)⨟⋌⩍(≮⫘↔11101110011⇣⩺⋵≮⫘↔1000001100111))≦↸((≮⫘↔10000110100⊹∫⫚≮⫘↔101000011100)⊉↱≁(≮⫘↔1000000100011≓∲≮⫘↔110001110110))","cot":[{"info":"≮⫘↔111111100011⨪↰⇹≮⫘↔1000111001100=≮⫘↔111111100011","layer":3},{"info":"≮⫘↔11101110011⇣⩺⋵≮⫘↔1000001100111=≮⫘↔-1011000100","layer":3},{"info":"≮⫘↔111111100011⨟⋌⩍≮⫘↔-1011000100=≮⫘↔0","layer":2},{"info":"≮⫘↔10000110100⊹∫⫚≮⫘↔101000011100=≮⫘↔-101010100","layer":3},{"info":"≮⫘↔1000000100011≓∲≮⫘↔110001110110=≮⫘↔1010010001101101","layer":3},{"info":"≮⫘↔-101010100⊉↱≁≮⫘↔1010010001101101=≮⫘↔-111110110000110000","layer":2},{"info":"≮⫘↔0≦↸≮⫘↔-111110110000110000=≮⫘↔1010101001","layer":1},{"info":"⫡⇟⇯≮⫘↔1010101001=≮⫘↔100010110110","layer":0}]}
{"id":390,"expression_no_base_symbol":"⨞⊢($2507$≁$1225$≓∲(⇖$2896$))⨿((⩦⊞$1067$)⨜⨶($2677$⨽$6648$))","expression":"⨞⊢(≮⫘↔100111001011≁≮⫘↔10011001001≓∲(⇖≮⫘↔101101010000))⨿((⩦⊞≮⫘↔10000101011)⨜⨶(≮⫘↔101001110101⨽≮⫘↔1100111111000))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2499253,"operation_count":8,"complexity_ratio":312406.625,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2507,"base":2},"right_expr":{"type":"numeric_atoms","value":1225,"base":2}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2896,"base":2}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1067,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2677,"base":2},"right_expr":{"type":"numeric_atoms","value":6648,"base":2}}}}},"used_operators":["xUOZtlo3hN","abYXlopdE0","s1XTVnmDOJ","8N2wDY1A35","tfWHHpNKUN","HiPekx5b7W","u7fv1HBiaC","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2DQ55sFlQl","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≮⫘↔-11110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2507","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=1225, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=16199","layer":3},{"info":"number node, value=2896","layer":4},{"info":"compute unary expreesion, input=2896, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=16199, right_input=160, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-832016","layer":2},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-794","layer":3},{"info":"number node, value=2677","layer":4},{"info":"number node, value=6648","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=6648, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21517617","layer":3},{"info":"compute binary expreesion, left_input=-794, right_input=-21517617, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-129112859","layer":2},{"info":"compute binary expreesion, left_input=-832016, right_input=-129112859, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-241","layer":0}],"base":2,"result_base":2,"text":"⨞⊢(≮⫘↔100111001011≁≮⫘↔10011001001≓∲(⇖≮⫘↔101101010000))⨿((⩦⊞≮⫘↔10000101011)⨜⨶(≮⫘↔101001110101⨽≮⫘↔1100111111000))=≮⫘↔-11110001","reverse_text":"≮⫘↔-11110001=⨞⊢(≮⫘↔100111001011≁≮⫘↔10011001001≓∲(⇖≮⫘↔101101010000))⨿((⩦⊞≮⫘↔10000101011)⨜⨶(≮⫘↔101001110101⨽≮⫘↔1100111111000))","cot":[{"info":"≮⫘↔100111001011≁≮⫘↔10011001001=≮⫘↔11111101000111","layer":3},{"info":"⇖≮⫘↔101101010000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11111101000111≓∲≮⫘↔10100000=≮⫘↔-11001011001000010000","layer":2},{"info":"⩦⊞≮⫘↔10000101011=≮⫘↔-1100011010","layer":3},{"info":"≮⫘↔101001110101⨽≮⫘↔1100111111000=≮⫘↔-1010010000101010100110001","layer":3},{"info":"≮⫘↔-1100011010⨜⨶≮⫘↔-1010010000101010100110001=≮⫘↔-111101100100001101100011011","layer":2},{"info":"≮⫘↔-11001011001000010000⨿≮⫘↔-111101100100001101100011011=≮⫘↔1000011","layer":1},{"info":"⨞⊢≮⫘↔1000011=≮⫘↔-11110001","layer":0}]}
{"id":391,"expression_no_base_symbol":"(+⊝⨔($1670$⩹$1390$))⫁⪎($1294$⪨⊡$3833$⋫)⩷∴(⫎≠⋺(($1011$⩘⨬⇊)⇐≅))","expression":"(+⊝⨔(≮⫘↔11010000110⩹≮⫘↔10101101110))⫁⪎(≮⫘↔10100001110⪨⊡≮⫘↔111011111001⋫)⩷∴(⫎≠⋺((≮⫘↔1111110011⩘⨬⇊)⇐≅))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1700,"operation_count":9,"complexity_ratio":188.88888888888889,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1670,"base":2},"right_expr":{"type":"numeric_atoms","value":1390,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1294,"base":2},"right_expr":{"type":"numeric_atoms","value":3833,"base":2}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1011,"base":2}}}}},"used_operators":["9FxExcQeMw","xRrnTEsQ6j","DhbWaqg5eL","2Wsdkap16l","JL8yIekQnl","kuIXHzHcAH","LYeZOJ0nQG","wEfv7U73WA","XXmTpEpWTW"],"dependent_operators":["rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1670","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=1390, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1388","layer":3},{"info":"compute unary expreesion, input=1388, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=1294","layer":4},{"info":"number node, value=3833","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=3833, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1522","layer":1},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔(≮⫘↔11010000110⩹≮⫘↔10101101110))⫁⪎(≮⫘↔10100001110⪨⊡≮⫘↔111011111001⋫)⩷∴(⫎≠⋺((≮⫘↔1111110011⩘⨬⇊)⇐≅))=NaN","reverse_text":"NaN=(+⊝⨔(≮⫘↔11010000110⩹≮⫘↔10101101110))⫁⪎(≮⫘↔10100001110⪨⊡≮⫘↔111011111001⋫)⩷∴(⫎≠⋺((≮⫘↔1111110011⩘⨬⇊)⇐≅))","cot":[{"info":"≮⫘↔11010000110⩹≮⫘↔10101101110=≮⫘↔10101101100","layer":3},{"info":"+⊝⨔≮⫘↔10101101100=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔10100001110⪨⊡≮⫘↔111011111001=≮⫘↔0","layer":3},{"info":"≮⫘↔0⋫=≮⫘↔0","layer":2},{"info":"≮⫘↔10111110010⫁⪎≮⫘↔0=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔1111110011⩘⨬⇊=NaN","layer":3},{"info":"NaN⇐≅=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"≮⫘↔10111110010⩷∴NaN=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(($1238$⊉≛↸$1498$)⩼⇪↪($2628$⫚↹⊑$3937$))∥⊢⊲(($5364$*$2139$)≎⊠⪸$2878$⋝⋈⪟$1453$)⪒((⊤⊝$2128$)⨵⪆$3127$⊝⪿⪼$8363$)↼⊘⨖(⊤⊝$1504$)⋥⋵⩄$1303$⇤$4108$","expression":"((≮⫘↔10011010110⊉≛↸≮⫘↔10111011010)⩼⇪↪(≮⫘↔101001000100⫚↹⊑≮⫘↔111101100001))∥⊢⊲((≮⫘↔1010011110100*≮⫘↔100001011011)≎⊠⪸≮⫘↔101100111110⋝⋈⪟≮⫘↔10110101101)⪒((⊤⊝≮⫘↔100001010000)⨵⪆≮⫘↔110000110111⊝⪿⪼≮⫘↔10000010101011)↼⊘⨖(⊤⊝≮⫘↔10111100000)⋥⋵⩄≮⫘↔10100010111⇤≮⫘↔1000000001100","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2542,"operation_count":15,"complexity_ratio":169.46666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1238,"base":2},"right_expr":{"type":"numeric_atoms","value":1498,"base":2}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2628,"base":2},"right_expr":{"type":"numeric_atoms","value":3937,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5364,"base":2},"right_expr":{"type":"numeric_atoms","value":2139,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2878,"base":2},"right_expr":{"type":"numeric_atoms","value":1453,"base":2}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2128,"base":2}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3127,"base":2},"right_expr":{"type":"numeric_atoms","value":8363,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1504,"base":2}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1303,"base":2},"right_expr":{"type":"numeric_atoms","value":4108,"base":2}}}}},"used_operators":["f6k1SAg4EE","v1UQAVDJRr","ocnLzx9CaJ","DZ8iAZOCBD","dfKe02y8D2","bJkvcejdHO","9HNa5Wba9A","2DDjHMKMc0","bPywburJMS","2DQ55sFlQl","rXAclfmB4M","3Oe9XWJUTD","7t3wd0Fuz7","YSKBFp38Pu"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1498, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2476","layer":3},{"info":"number node, value=2628","layer":4},{"info":"number node, value=3937","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=3937, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=2476, right_input=-447, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=7298","layer":2},{"info":"number node, value=5364","layer":4},{"info":"number node, value=2139","layer":4},{"info":"compute binary expreesion, left_input=5364, right_input=2139, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11473596","layer":3},{"info":"number node, value=2878","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=1453, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2878","layer":3},{"info":"compute binary expreesion, left_input=11473596, right_input=2878, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=7298, right_input=inf, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2958","layer":3},{"info":"number node, value=3127","layer":4},{"info":"number node, value=8363","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=8363, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=56837","layer":3},{"info":"compute binary expreesion, left_input=2958, right_input=56837, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1504","layer":4},{"info":"compute unary expreesion, input=1504, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1710","layer":3},{"info":"number node, value=1303","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=4108, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-24207","layer":3},{"info":"compute binary expreesion, left_input=1710, right_input=-24207, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=237106","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=237106, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=473990","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=473990, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011010110⊉≛↸≮⫘↔10111011010)⩼⇪↪(≮⫘↔101001000100⫚↹⊑≮⫘↔111101100001))∥⊢⊲((≮⫘↔1010011110100*≮⫘↔100001011011)≎⊠⪸≮⫘↔101100111110⋝⋈⪟≮⫘↔10110101101)⪒((⊤⊝≮⫘↔100001010000)⨵⪆≮⫘↔110000110111⊝⪿⪼≮⫘↔10000010101011)↼⊘⨖(⊤⊝≮⫘↔10111100000)⋥⋵⩄≮⫘↔10100010111⇤≮⫘↔1000000001100=NaN","reverse_text":"NaN=((≮⫘↔10011010110⊉≛↸≮⫘↔10111011010)⩼⇪↪(≮⫘↔101001000100⫚↹⊑≮⫘↔111101100001))∥⊢⊲((≮⫘↔1010011110100*≮⫘↔100001011011)≎⊠⪸≮⫘↔101100111110⋝⋈⪟≮⫘↔10110101101)⪒((⊤⊝≮⫘↔100001010000)⨵⪆≮⫘↔110000110111⊝⪿⪼≮⫘↔10000010101011)↼⊘⨖(⊤⊝≮⫘↔10111100000)⋥⋵⩄≮⫘↔10100010111⇤≮⫘↔1000000001100","cot":[{"info":"≮⫘↔10011010110⊉≛↸≮⫘↔10111011010=≮⫘↔100110101100","layer":3},{"info":"≮⫘↔101001000100⫚↹⊑≮⫘↔111101100001=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔100110101100⩼⇪↪≮⫘↔-110111111=≮⫘↔1110010000010","layer":2},{"info":"≮⫘↔1010011110100*≮⫘↔100001011011=≮⫘↔101011110001001010111100","layer":3},{"info":"≮⫘↔101100111110⋝⋈⪟≮⫘↔10110101101=≮⫘↔101100111110","layer":3},{"info":"≮⫘↔101011110001001010111100≎⊠⪸≮⫘↔101100111110=Inf","layer":2},{"info":"≮⫘↔1110010000010∥⊢⊲Inf=NaN","layer":1},{"info":"⊤⊝≮⫘↔100001010000=≮⫘↔101110001110","layer":3},{"info":"≮⫘↔110000110111⊝⪿⪼≮⫘↔10000010101011=≮⫘↔1101111000000101","layer":3},{"info":"≮⫘↔101110001110⨵⪆≮⫘↔1101111000000101=≮⫘↔10100000","layer":2},{"info":"⊤⊝≮⫘↔10111100000=≮⫘↔11010101110","layer":3},{"info":"≮⫘↔10100010111⇤≮⫘↔1000000001100=≮⫘↔-101111010001111","layer":3},{"info":"≮⫘↔11010101110⋥⋵⩄≮⫘↔-101111010001111=≮⫘↔111001111000110010","layer":2},{"info":"≮⫘↔10100000↼⊘⨖≮⫘↔111001111000110010=≮⫘↔1110011101110000110","layer":1},{"info":"NaN⪒≮⫘↔1110011101110000110=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"(∤↝((⋣$4284$)⪭≯($5511$⊭↱$1790$)))≀⫉(($2511$%$5874$)⫲≸⪮(⫇$2060$)⨔≚≋(⇜($1540$⪔$1215$)))","expression":"(∤↝((⋣≮⫘↔1000010111100)⪭≯(≮⫘↔1010110000111⊭↱≮⫘↔11011111110)))≀⫉((≮⫘↔100111001111%≮⫘↔1011011110010)⫲≸⪮(⫇≮⫘↔100000001100)⨔≚≋(⇜(≮⫘↔11000000100⪔≮⫘↔10010111111)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52610,"operation_count":11,"complexity_ratio":4782.727272727273,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":4284,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5511,"base":2},"right_expr":{"type":"numeric_atoms","value":1790,"base":2}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2511,"base":2},"right_expr":{"type":"numeric_atoms","value":5874,"base":2}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2060,"base":2}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1540,"base":2},"right_expr":{"type":"numeric_atoms","value":1215,"base":2}}}}},"used_operators":["oZj3VtZNQx","3UMq87Qwqg","XAx5wpdLa6","zQWRhDnn8F","COABgblf1C","Z57zeUYC9z","P3lXMJvFrc","k8jYdgA6NY","YjI8oCXuph","lFBm8KRb8F","GjBEYRfMaF"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4284","layer":4},{"info":"compute unary expreesion, input=4284, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1259401","layer":3},{"info":"number node, value=5511","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=5511, right_input=1790, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7437","layer":3},{"info":"compute binary expreesion, left_input=-1259401, right_input=-7437, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":1},{"info":"number node, value=2511","layer":4},{"info":"number node, value=5874","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=5874, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2511","layer":3},{"info":"number node, value=2060","layer":4},{"info":"compute unary expreesion, input=2060, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2906","layer":3},{"info":"compute binary expreesion, left_input=2511, right_input=-2906, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2511","layer":2},{"info":"number node, value=1540","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=1215, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-4008","layer":2},{"info":"compute binary expreesion, left_input=2511, right_input=-4008, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∤↝((⋣≮⫘↔1000010111100)⪭≯(≮⫘↔1010110000111⊭↱≮⫘↔11011111110)))≀⫉((≮⫘↔100111001111%≮⫘↔1011011110010)⫲≸⪮(⫇≮⫘↔100000001100)⨔≚≋(⇜(≮⫘↔11000000100⪔≮⫘↔10010111111)))=NaN","reverse_text":"NaN=(∤↝((⋣≮⫘↔1000010111100)⪭≯(≮⫘↔1010110000111⊭↱≮⫘↔11011111110)))≀⫉((≮⫘↔100111001111%≮⫘↔1011011110010)⫲≸⪮(⫇≮⫘↔100000001100)⨔≚≋(⇜(≮⫘↔11000000100⪔≮⫘↔10010111111)))","cot":[{"info":"⋣≮⫘↔1000010111100=≮⫘↔-100110011011110001001","layer":3},{"info":"≮⫘↔1010110000111⊭↱≮⫘↔11011111110=≮⫘↔-1110100001101","layer":3},{"info":"≮⫘↔-100110011011110001001⪭≯≮⫘↔-1110100001101=NaN","layer":2},{"info":"∤↝NaN=NaN","layer":1},{"info":"≮⫘↔100111001111%≮⫘↔1011011110010=≮⫘↔100111001111","layer":3},{"info":"⫇≮⫘↔100000001100=≮⫘↔-101101011010","layer":3},{"info":"≮⫘↔100111001111⫲≸⪮≮⫘↔-101101011010=≮⫘↔100111001111","layer":2},{"info":"≮⫘↔11000000100⪔≮⫘↔10010111111=≮⫘↔111000010","layer":3},{"info":"⇜≮⫘↔111000010=≮⫘↔-111110101000","layer":2},{"info":"≮⫘↔100111001111⨔≚≋≮⫘↔-111110101000=≮⫘↔10011010010000","layer":1},{"info":"NaN≀⫉≮⫘↔10011010010000=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"$3009$⨽$1058$⩨$1478$⫘$1906$⪁($1040$⇪⋭)⨜⨶($2989$/$2848$)∪⫐(↘(⇜⊴$1851$⨚⇆$1416$))","expression":"≮⫘↔101111000001⨽≮⫘↔10000100010⩨≮⫘↔10111000110⫘≮⫘↔11101110010⪁(≮⫘↔10000010000⇪⋭)⨜⨶(≮⫘↔101110101101/≮⫘↔101100100000)∪⫐(↘(⇜⊴≮⫘↔11100111011⨚⇆≮⫘↔10110001000))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17874,"operation_count":11,"complexity_ratio":1624.909090909091,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3009,"base":2},"right_expr":{"type":"numeric_atoms","value":1058,"base":2}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1478,"base":2},"right_expr":{"type":"numeric_atoms","value":1906,"base":2}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1040,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2989,"base":2},"right_expr":{"type":"numeric_atoms","value":2848,"base":2}}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1851,"base":2},"right_expr":{"type":"numeric_atoms","value":1416,"base":2}}}}},"used_operators":["7YooWSwCyH","I7sXao9hZE","2DlMacCsIx","8HhzD0ZcuI","48vC8HMD2b","HiPekx5b7W","Z8Yg6dlDSp","XhwjNDsVaA","LdNpr8hQHL","XwDhCwWbUn","lwHaAYXP2r"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","rysDP5nf3Z","uFcxV4UQCh","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3009","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=3009, right_input=1058, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27164103","layer":3},{"info":"number node, value=1478","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=1906, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1742533","layer":3},{"info":"compute binary expreesion, left_input=-27164103, right_input=1742533, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=2989","layer":4},{"info":"number node, value=2848","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=2848, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=1851","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=1416, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔101111000001⨽≮⫘↔10000100010⩨≮⫘↔10111000110⫘≮⫘↔11101110010⪁(≮⫘↔10000010000⇪⋭)⨜⨶(≮⫘↔101110101101/≮⫘↔101100100000)∪⫐(↘(⇜⊴≮⫘↔11100111011⨚⇆≮⫘↔10110001000))=NaN","reverse_text":"NaN=≮⫘↔101111000001⨽≮⫘↔10000100010⩨≮⫘↔10111000110⫘≮⫘↔11101110010⪁(≮⫘↔10000010000⇪⋭)⨜⨶(≮⫘↔101110101101/≮⫘↔101100100000)∪⫐(↘(⇜⊴≮⫘↔11100111011⨚⇆≮⫘↔10110001000))","cot":[{"info":"≮⫘↔101111000001⨽≮⫘↔10000100010=≮⫘↔-1100111100111110111000111","layer":3},{"info":"≮⫘↔10111000110⫘≮⫘↔11101110010=≮⫘↔110101001011011000101","layer":3},{"info":"≮⫘↔-1100111100111110111000111⩨≮⫘↔110101001011011000101=≮⫘↔11","layer":2},{"info":"≮⫘↔10000010000⇪⋭=NaN","layer":3},{"info":"≮⫘↔101110101101/≮⫘↔101100100000=≮⫘↔1","layer":3},{"info":"NaN⨜⨶≮⫘↔1=NaN","layer":2},{"info":"≮⫘↔11⪁NaN=NaN","layer":1},{"info":"≮⫘↔11100111011⨚⇆≮⫘↔10110001000=NaN","layer":3},{"info":"⇜⊴NaN=NaN","layer":2},{"info":"↘NaN=NaN","layer":1},{"info":"NaN∪⫐NaN=NaN","layer":0}]}
{"id":395,"expression_no_base_symbol":"($2918$↞⋁$2882$⋥≓≎$1013$⇷$6162$)≴⪞⇿(⇤←$1363$⫰⋱$7304$)≦↸(≱⇩⩕(⪛⨧$3430$)≳⇉$3039$⪥$5714$)","expression":"(≮⫘↔101101100110↞⋁≮⫘↔101101000010⋥≓≎≮⫘↔1111110101⇷≮⫘↔1100000010010)≴⪞⇿(⇤←≮⫘↔10101010011⫰⋱≮⫘↔1110010001000)≦↸(≱⇩⩕(⪛⨧≮⫘↔110101100110)≳⇉≮⫘↔101111011111⪥≮⫘↔1011001010010)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":52395,"operation_count":11,"complexity_ratio":4763.181818181818,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2918,"base":2},"right_expr":{"type":"numeric_atoms","value":2882,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1013,"base":2},"right_expr":{"type":"numeric_atoms","value":6162,"base":2}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1363,"base":2},"right_expr":{"type":"numeric_atoms","value":7304,"base":2}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3430,"base":2}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3039,"base":2},"right_expr":{"type":"numeric_atoms","value":5714,"base":2}}}}},"used_operators":["RygbFNSyEJ","lvlrscuwVU","Qy55tPpLXF","RqrPlJkxDo","mp7IySMOzn","jfAgQ2OQeM","6o9Blt3TJ6","3DZMoQKiUl","V0kx6qeWkN","6NJAcO2OWT","QbnwKVWMIQ"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2918","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=2918, right_input=2882, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=6162","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=6162, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12324","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12324, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1363","layer":4},{"info":"number node, value=7304","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=7304, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1330","layer":3},{"info":"compute unary expreesion, input=-1330, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1764","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1764, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=85106","layer":1},{"info":"number node, value=3430","layer":4},{"info":"compute unary expreesion, input=3430, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=8261","layer":3},{"info":"number node, value=3039","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=5714, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=16808","layer":3},{"info":"compute binary expreesion, left_input=8261, right_input=16808, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=85106, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101101100110↞⋁≮⫘↔101101000010⋥≓≎≮⫘↔1111110101⇷≮⫘↔1100000010010)≴⪞⇿(⇤←≮⫘↔10101010011⫰⋱≮⫘↔1110010001000)≦↸(≱⇩⩕(⪛⨧≮⫘↔110101100110)≳⇉≮⫘↔101111011111⪥≮⫘↔1011001010010)=NaN","reverse_text":"NaN=(≮⫘↔101101100110↞⋁≮⫘↔101101000010⋥≓≎≮⫘↔1111110101⇷≮⫘↔1100000010010)≴⪞⇿(⇤←≮⫘↔10101010011⫰⋱≮⫘↔1110010001000)≦↸(≱⇩⩕(⪛⨧≮⫘↔110101100110)≳⇉≮⫘↔101111011111⪥≮⫘↔1011001010010)","cot":[{"info":"≮⫘↔101101100110↞⋁≮⫘↔101101000010=NaN","layer":3},{"info":"≮⫘↔1111110101⇷≮⫘↔1100000010010=≮⫘↔11000000100100","layer":3},{"info":"NaN⋥≓≎≮⫘↔11000000100100=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10101010011⫰⋱≮⫘↔1110010001000=≮⫘↔-10100110010","layer":3},{"info":"⇤←≮⫘↔-10100110010=≮⫘↔11011100100","layer":2},{"info":"≮⫘↔1000011≴⪞⇿≮⫘↔11011100100=≮⫘↔10100110001110010","layer":1},{"info":"⪛⨧≮⫘↔110101100110=≮⫘↔10000001000101","layer":3},{"info":"≮⫘↔101111011111⪥≮⫘↔1011001010010=≮⫘↔100000110101000","layer":3},{"info":"≮⫘↔10000001000101≳⇉≮⫘↔100000110101000=NaN","layer":2},{"info":"≱⇩⩕NaN=NaN","layer":1},{"info":"≮⫘↔10100110001110010≦↸NaN=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"⨞⊢((⊥$4263$)≧⫂∧$1218$⇂≾⫗$1960$↡⊰⫅$6012$+⪬∐$6661$⋥≓≎($5603$⨳⩥⨓$4523$))","expression":"⨞⊢((⊥≮⫘↔1000010100111)≧⫂∧≮⫘↔10011000010⇂≾⫗≮⫘↔11110101000↡⊰⫅≮⫘↔1011101111100+⪬∐≮⫘↔1101000000101⋥≓≎(≮⫘↔1010111100011⨳⩥⨓≮⫘↔1000110101011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1024,"operation_count":8,"complexity_ratio":128.0,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4263,"base":2}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1218,"base":2},"right_expr":{"type":"numeric_atoms","value":1960,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":6012,"base":2},"right_expr":{"type":"numeric_atoms","value":6661,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5603,"base":2},"right_expr":{"type":"numeric_atoms","value":4523,"base":2}}}}},"used_operators":["xUOZtlo3hN","VCtxkLNOzz","Ph9nP6C5qx","Q3PJZHRvZv","aBQ6xLxuTc","Qy55tPpLXF","2GS7woTJqF","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔-100110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4263","layer":4},{"info":"compute unary expreesion, input=4263, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1960, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=6012","layer":4},{"info":"number node, value=6661","layer":4},{"info":"compute binary expreesion, left_input=6012, right_input=6661, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-18036","layer":3},{"info":"number node, value=5603","layer":4},{"info":"number node, value=4523","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=4523, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1080","layer":3},{"info":"compute binary expreesion, left_input=-18036, right_input=-1080, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-308","layer":0}],"base":2,"result_base":2,"text":"⨞⊢((⊥≮⫘↔1000010100111)≧⫂∧≮⫘↔10011000010⇂≾⫗≮⫘↔11110101000↡⊰⫅≮⫘↔1011101111100+⪬∐≮⫘↔1101000000101⋥≓≎(≮⫘↔1010111100011⨳⩥⨓≮⫘↔1000110101011))=≮⫘↔-100110100","reverse_text":"≮⫘↔-100110100=⨞⊢((⊥≮⫘↔1000010100111)≧⫂∧≮⫘↔10011000010⇂≾⫗≮⫘↔11110101000↡⊰⫅≮⫘↔1011101111100+⪬∐≮⫘↔1101000000101⋥≓≎(≮⫘↔1010111100011⨳⩥⨓≮⫘↔1000110101011))","cot":[{"info":"⊥≮⫘↔1000010100111=NaN","layer":3},{"info":"≮⫘↔10011000010⇂≾⫗≮⫘↔11110101000=≮⫘↔-1010100100","layer":3},{"info":"NaN≧⫂∧≮⫘↔-1010100100=NaN","layer":2},{"info":"≮⫘↔1011101111100+⪬∐≮⫘↔1101000000101=≮⫘↔-100011001110100","layer":3},{"info":"≮⫘↔1010111100011⨳⩥⨓≮⫘↔1000110101011=≮⫘↔-10000111000","layer":3},{"info":"≮⫘↔-100011001110100⋥≓≎≮⫘↔-10000111000=≮⫘↔1000011","layer":2},{"info":"NaN↡⊰⫅≮⫘↔1000011=≮⫘↔10000110","layer":1},{"info":"⨞⊢≮⫘↔10000110=≮⫘↔-100110100","layer":0}]}
{"id":397,"expression_no_base_symbol":"($3162$⪡$7469$*($3612$∕⩚$4085$))↞⋁((∐⩳⋚$1380$)∣(⇉-⫰$2288$))⪪($4011$⪶≀⋏$9123$⪨⊡(⩪∧⨌$1369$))∓⋝((⩦⊞$2419$)⊹∫⫚$3615$⪥$1765$)","expression":"(≮⫘↔110001011010⪡≮⫘↔1110100101101*(≮⫘↔111000011100∕⩚≮⫘↔111111110101))↞⋁((∐⩳⋚≮⫘↔10101100100)∣(⇉-⫰≮⫘↔100011110000))⪪(≮⫘↔111110101011⪶≀⋏≮⫘↔10001110100011⪨⊡(⩪∧⨌≮⫘↔10101011001))∓⋝((⩦⊞≮⫘↔100101110011)⊹∫⫚≮⫘↔111000011111⪥≮⫘↔11011100101)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4573,"operation_count":15,"complexity_ratio":304.8666666666667,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3162,"base":2},"right_expr":{"type":"numeric_atoms","value":7469,"base":2}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3612,"base":2},"right_expr":{"type":"numeric_atoms","value":4085,"base":2}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1380,"base":2}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2288,"base":2}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4011,"base":2},"right_expr":{"type":"numeric_atoms","value":9123,"base":2}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1369,"base":2}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2419,"base":2}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3615,"base":2},"right_expr":{"type":"numeric_atoms","value":1765,"base":2}}}}},"used_operators":["xD69zh8xqp","RqrPlJkxDo","9HNa5Wba9A","oraRL2iQuh","z9ffQ9n5Zr","PPChnnnBFF","SL6IHkK8vl","IGFM8TAlm9","PoHhknlbAi","kuIXHzHcAH","zR4jO40bMj","6iOiAJX1F8","uWAJUKEvyW","u7fv1HBiaC","QbnwKVWMIQ"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eH2TOUuTDT","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"≮⫘↔-1100000111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3162","layer":4},{"info":"number node, value=7469","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=7469, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3612","layer":4},{"info":"number node, value=4085","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=4085, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3615","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-3615, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-386805","layer":2},{"info":"number node, value=1380","layer":4},{"info":"compute unary expreesion, input=1380, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=189997","layer":3},{"info":"number node, value=2288","layer":4},{"info":"compute unary expreesion, input=2288, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=189997, right_input=20, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-189040","layer":2},{"info":"compute binary expreesion, left_input=-386805, right_input=-189040, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-386805","layer":1},{"info":"number node, value=4011","layer":4},{"info":"number node, value=9123","layer":4},{"info":"compute binary expreesion, left_input=4011, right_input=9123, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-30511","layer":3},{"info":"number node, value=1369","layer":4},{"info":"compute unary expreesion, input=1369, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=13690","layer":3},{"info":"compute binary expreesion, left_input=-30511, right_input=13690, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2419","layer":4},{"info":"compute unary expreesion, input=2419, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2146","layer":3},{"info":"number node, value=3615","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=3615, right_input=1765, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19112","layer":3},{"info":"compute binary expreesion, left_input=-2146, right_input=19112, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-376","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-376, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":1},{"info":"compute binary expreesion, left_input=-386805, right_input=121, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110001011010⪡≮⫘↔1110100101101*(≮⫘↔111000011100∕⩚≮⫘↔111111110101))↞⋁((∐⩳⋚≮⫘↔10101100100)∣(⇉-⫰≮⫘↔100011110000))⪪(≮⫘↔111110101011⪶≀⋏≮⫘↔10001110100011⪨⊡(⩪∧⨌≮⫘↔10101011001))∓⋝((⩦⊞≮⫘↔100101110011)⊹∫⫚≮⫘↔111000011111⪥≮⫘↔11011100101)=≮⫘↔-1100000111110","reverse_text":"≮⫘↔-1100000111110=(≮⫘↔110001011010⪡≮⫘↔1110100101101*(≮⫘↔111000011100∕⩚≮⫘↔111111110101))↞⋁((∐⩳⋚≮⫘↔10101100100)∣(⇉-⫰≮⫘↔100011110000))⪪(≮⫘↔111110101011⪶≀⋏≮⫘↔10001110100011⪨⊡(⩪∧⨌≮⫘↔10101011001))∓⋝((⩦⊞≮⫘↔100101110011)⊹∫⫚≮⫘↔111000011111⪥≮⫘↔11011100101)","cot":[{"info":"≮⫘↔110001011010⪡≮⫘↔1110100101101=≮⫘↔1101011","layer":3},{"info":"≮⫘↔111000011100∕⩚≮⫘↔111111110101=≮⫘↔-111000011111","layer":3},{"info":"≮⫘↔1101011*≮⫘↔-111000011111=≮⫘↔-1011110011011110101","layer":2},{"info":"∐⩳⋚≮⫘↔10101100100=≮⫘↔101110011000101101","layer":3},{"info":"⇉-⫰≮⫘↔100011110000=≮⫘↔10100","layer":3},{"info":"≮⫘↔101110011000101101∣≮⫘↔10100=≮⫘↔-101110001001110000","layer":2},{"info":"≮⫘↔-1011110011011110101↞⋁≮⫘↔-101110001001110000=≮⫘↔-1011110011011110101","layer":1},{"info":"≮⫘↔111110101011⪶≀⋏≮⫘↔10001110100011=≮⫘↔-111011100101111","layer":3},{"info":"⩪∧⨌≮⫘↔10101011001=≮⫘↔11010101111010","layer":3},{"info":"≮⫘↔-111011100101111⪨⊡≮⫘↔11010101111010=≮⫘↔0","layer":2},{"info":"⩦⊞≮⫘↔100101110011=≮⫘↔-100001100010","layer":3},{"info":"≮⫘↔111000011111⪥≮⫘↔11011100101=≮⫘↔100101010101000","layer":3},{"info":"≮⫘↔-100001100010⊹∫⫚≮⫘↔100101010101000=≮⫘↔-101111000","layer":2},{"info":"≮⫘↔0∓⋝≮⫘↔-101111000=≮⫘↔1111001","layer":1},{"info":"≮⫘↔-1011110011011110101⪪≮⫘↔1111001=≮⫘↔-1100000111110","layer":0}]}
{"id":398,"expression_no_base_symbol":"((($3974$⊵↤)⋳⪒(⇋↷$1347$))⪥⨬⪅)⫲≸⪮((⇨($5326$⩨$1692$))∝$2117$⨸$1605$⨫⇇↔$1167$↳∿⪆$5654$)","expression":"(((≮⫘↔111110000110⊵↤)⋳⪒(⇋↷≮⫘↔10101000011))⪥⨬⪅)⫲≸⪮((⇨(≮⫘↔1010011001110⩨≮⫘↔11010011100))∝≮⫘↔100001000101⨸≮⫘↔11001000101⨫⇇↔≮⫘↔10010001111↳∿⪆≮⫘↔1011000010110)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5785,"operation_count":11,"complexity_ratio":525.9090909090909,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":3974,"base":2}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1347,"base":2}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5326,"base":2},"right_expr":{"type":"numeric_atoms","value":1692,"base":2}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2117,"base":2},"right_expr":{"type":"numeric_atoms","value":1605,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1167,"base":2},"right_expr":{"type":"numeric_atoms","value":5654,"base":2}}}}},"used_operators":["P3lXMJvFrc","zNRQejTB5A","12rbrZMWeM","7IPrd9c3lf","SWo3A1KBJH","cTDWOvIxvz","G9tJMlZ94a","2DlMacCsIx","LXhwmt4mBO","KmoU8R5UQR","Cw4SuJJGHO"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"≮⫘↔111011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3974","layer":4},{"info":"compute unary expreesion, input=3974, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"number node, value=1347","layer":4},{"info":"compute unary expreesion, input=1347, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=10776","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=10776, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-10929","layer":2},{"info":"compute unary expreesion, input=-10929, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":1},{"info":"number node, value=5326","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=5326, right_input=1692, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":2},{"info":"number node, value=2117","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=1605, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4234","layer":3},{"info":"number node, value=1167","layer":4},{"info":"number node, value=5654","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=5654, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4234, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=473","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔111110000110⊵↤)⋳⪒(⇋↷≮⫘↔10101000011))⪥⨬⪅)⫲≸⪮((⇨(≮⫘↔1010011001110⩨≮⫘↔11010011100))∝≮⫘↔100001000101⨸≮⫘↔11001000101⨫⇇↔≮⫘↔10010001111↳∿⪆≮⫘↔1011000010110)=≮⫘↔111011001","reverse_text":"≮⫘↔111011001=(((≮⫘↔111110000110⊵↤)⋳⪒(⇋↷≮⫘↔10101000011))⪥⨬⪅)⫲≸⪮((⇨(≮⫘↔1010011001110⩨≮⫘↔11010011100))∝≮⫘↔100001000101⨸≮⫘↔11001000101⨫⇇↔≮⫘↔10010001111↳∿⪆≮⫘↔1011000010110)","cot":[{"info":"≮⫘↔111110000110⊵↤=≮⫘↔1000011","layer":3},{"info":"⇋↷≮⫘↔10101000011=≮⫘↔10101000011000","layer":3},{"info":"≮⫘↔1000011⋳⪒≮⫘↔10101000011000=≮⫘↔-10101010110001","layer":2},{"info":"≮⫘↔-10101010110001⪥⨬⪅=≮⫘↔-111011001","layer":1},{"info":"≮⫘↔1010011001110⩨≮⫘↔11010011100=≮⫘↔0","layer":3},{"info":"⇨≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔100001000101⨸≮⫘↔11001000101=≮⫘↔1000010001010","layer":3},{"info":"≮⫘↔10010001111↳∿⪆≮⫘↔1011000010110=NaN","layer":3},{"info":"≮⫘↔1000010001010⨫⇇↔NaN=≮⫘↔-1000001111","layer":2},{"info":"NaN∝≮⫘↔-1000001111=NaN","layer":1},{"info":"≮⫘↔-111011001⫲≸⪮NaN=≮⫘↔111011001","layer":0}]}
{"id":399,"expression_no_base_symbol":"(($6634$⩅⪻⪻)⋛(⊗$3353$)⇴(($1666$↸$3510$)≬⇓$1454$⪚$4038$))∛(⨆≐≲(($3326$≦≮≮)⪥($2696$∷$2553$)))","expression":"((≮⫘↔1100111101010⩅⪻⪻)⋛(⊗≮⫘↔110100011001)⇴((≮⫘↔11010000010↸≮⫘↔110110110110)≬⇓≮⫘↔10110101110⪚≮⫘↔111111000110))∛(⨆≐≲((≮⫘↔110011111110≦≮≮)⪥(≮⫘↔101010001000∷≮⫘↔100111111001)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2108,"operation_count":12,"complexity_ratio":175.66666666666666,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":6634,"base":2}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3353,"base":2}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1666,"base":2},"right_expr":{"type":"numeric_atoms","value":3510,"base":2}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1454,"base":2},"right_expr":{"type":"numeric_atoms","value":4038,"base":2}}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3326,"base":2}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2696,"base":2},"right_expr":{"type":"numeric_atoms","value":2553,"base":2}}}}},"used_operators":["w2537kitQq","4JB6nKBMSY","YbUVn0Rbpy","kHoXpA7yos","RhiyfpczSx","jWTQ2TZYIH","1eCjFl0mb9","HrjLwUk87U","Bi9z9uYZqW","QbnwKVWMIQ","D4vGDi5EA2","D3AQDKkPcf"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sdazOOVcIp","NTOWxs364D","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6634","layer":4},{"info":"compute unary expreesion, input=6634, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-981257","layer":3},{"info":"number node, value=3353","layer":4},{"info":"compute unary expreesion, input=3353, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6706","layer":3},{"info":"compute binary expreesion, left_input=-981257, right_input=-6706, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-19473","layer":2},{"info":"number node, value=1666","layer":4},{"info":"number node, value=3510","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=3510, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1666","layer":3},{"info":"number node, value=1454","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=4038, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5524","layer":3},{"info":"compute binary expreesion, left_input=1666, right_input=-5524, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-2239","layer":2},{"info":"compute binary expreesion, left_input=-19473, right_input=-2239, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-121702","layer":1},{"info":"number node, value=3326","layer":4},{"info":"compute unary expreesion, input=3326, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9978","layer":3},{"info":"number node, value=2696","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=2553, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2553","layer":3},{"info":"compute binary expreesion, left_input=-9978, right_input=2553, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-72980","layer":2},{"info":"compute unary expreesion, input=-72980, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"compute binary expreesion, left_input=-121702, right_input=-168548, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100111101010⩅⪻⪻)⋛(⊗≮⫘↔110100011001)⇴((≮⫘↔11010000010↸≮⫘↔110110110110)≬⇓≮⫘↔10110101110⪚≮⫘↔111111000110))∛(⨆≐≲((≮⫘↔110011111110≦≮≮)⪥(≮⫘↔101010001000∷≮⫘↔100111111001)))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔1100111101010⩅⪻⪻)⋛(⊗≮⫘↔110100011001)⇴((≮⫘↔11010000010↸≮⫘↔110110110110)≬⇓≮⫘↔10110101110⪚≮⫘↔111111000110))∛(⨆≐≲((≮⫘↔110011111110≦≮≮)⪥(≮⫘↔101010001000∷≮⫘↔100111111001)))","cot":[{"info":"≮⫘↔1100111101010⩅⪻⪻=≮⫘↔-11101111100100001001","layer":3},{"info":"⊗≮⫘↔110100011001=≮⫘↔-1101000110010","layer":3},{"info":"≮⫘↔-11101111100100001001⋛≮⫘↔-1101000110010=≮⫘↔-100110000010001","layer":2},{"info":"≮⫘↔11010000010↸≮⫘↔110110110110=≮⫘↔11010000010","layer":3},{"info":"≮⫘↔10110101110⪚≮⫘↔111111000110=≮⫘↔-1010110010100","layer":3},{"info":"≮⫘↔11010000010≬⇓≮⫘↔-1010110010100=≮⫘↔-100010111111","layer":2},{"info":"≮⫘↔-100110000010001⇴≮⫘↔-100010111111=≮⫘↔-11101101101100110","layer":1},{"info":"≮⫘↔110011111110≦≮≮=≮⫘↔-10011011111010","layer":3},{"info":"≮⫘↔101010001000∷≮⫘↔100111111001=≮⫘↔100111111001","layer":3},{"info":"≮⫘↔-10011011111010⪥≮⫘↔100111111001=≮⫘↔-10001110100010100","layer":2},{"info":"⨆≐≲≮⫘↔-10001110100010100=≮⫘↔-101001001001100100","layer":1},{"info":"≮⫘↔-11101101101100110∛≮⫘↔-101001001001100100=≮⫘↔1000011","layer":0}]}
{"id":400,"expression_no_base_symbol":"(($1251$⨲∙)∓⋝$5211$↹⊜$1081$⩹($2213$⨪↰⇹$3002$)⊝⪿⪼($1329$⪇≇⋚$3376$))≎⪠(($2630$⇴∐$1342$≃$4320$⪃⊛⇣$5249$)∑⇟⊟(($1856$⋝⋈⪟$4499$)⊚⫡⫭))","expression":"((≮⫘↔10011100011⨲∙)∓⋝≮⫘↔1010001011011↹⊜≮⫘↔10000111001⩹(≮⫘↔100010100101⨪↰⇹≮⫘↔101110111010)⊝⪿⪼(≮⫘↔10100110001⪇≇⋚≮⫘↔110100110000))≎⪠((≮⫘↔101001000110⇴∐≮⫘↔10100111110≃≮⫘↔1000011100000⪃⊛⇣≮⫘↔1010010000001)∑⇟⊟((≮⫘↔11101000000⋝⋈⪟≮⫘↔1000110010011)⊚⫡⫭))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22512,"operation_count":14,"complexity_ratio":1608.0,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1251,"base":2}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5211,"base":2},"right_expr":{"type":"numeric_atoms","value":1081,"base":2}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2213,"base":2},"right_expr":{"type":"numeric_atoms","value":3002,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1329,"base":2},"right_expr":{"type":"numeric_atoms","value":3376,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2630,"base":2},"right_expr":{"type":"numeric_atoms","value":1342,"base":2}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4320,"base":2},"right_expr":{"type":"numeric_atoms","value":5249,"base":2}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1856,"base":2},"right_expr":{"type":"numeric_atoms","value":4499,"base":2}}}}},"used_operators":["aNhz54LH3e","2Wsdkap16l","PoHhknlbAi","cRahaglYVE","9bazX3JMtO","3Oe9XWJUTD","tmPS8pqC7x","3sJ7IOPOlU","U7g4x0WXJJ","YbVcJGFEVW","HnzytWxmAO","rrgAzCduG9","SpZWOsLKZJ","2DDjHMKMc0"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rJVOvQCfKK","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔100110001100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=15103050","layer":3},{"info":"number node, value=5211","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=5211, right_input=1081, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=6002","layer":3},{"info":"compute binary expreesion, left_input=15103050, right_input=6002, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=2213","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=3002, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2213","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=3376, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2213, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=38613","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=38613, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=38611","layer":1},{"info":"number node, value=2630","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=2630, right_input=1342, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=4320","layer":4},{"info":"number node, value=5249","layer":4},{"info":"compute binary expreesion, left_input=4320, right_input=5249, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":2},{"info":"number node, value=1856","layer":4},{"info":"number node, value=4499","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=4499, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1856","layer":3},{"info":"compute unary expreesion, input=1856, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-2786","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2786, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=38611, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011100011⨲∙)∓⋝≮⫘↔1010001011011↹⊜≮⫘↔10000111001⩹(≮⫘↔100010100101⨪↰⇹≮⫘↔101110111010)⊝⪿⪼(≮⫘↔10100110001⪇≇⋚≮⫘↔110100110000))≎⪠((≮⫘↔101001000110⇴∐≮⫘↔10100111110≃≮⫘↔1000011100000⪃⊛⇣≮⫘↔1010010000001)∑⇟⊟((≮⫘↔11101000000⋝⋈⪟≮⫘↔1000110010011)⊚⫡⫭))=≮⫘↔100110001100110","reverse_text":"≮⫘↔100110001100110=((≮⫘↔10011100011⨲∙)∓⋝≮⫘↔1010001011011↹⊜≮⫘↔10000111001⩹(≮⫘↔100010100101⨪↰⇹≮⫘↔101110111010)⊝⪿⪼(≮⫘↔10100110001⪇≇⋚≮⫘↔110100110000))≎⪠((≮⫘↔101001000110⇴∐≮⫘↔10100111110≃≮⫘↔1000011100000⪃⊛⇣≮⫘↔1010010000001)∑⇟⊟((≮⫘↔11101000000⋝⋈⪟≮⫘↔1000110010011)⊚⫡⫭))","cot":[{"info":"≮⫘↔10011100011⨲∙=≮⫘↔111001100111010001001010","layer":3},{"info":"≮⫘↔1010001011011↹⊜≮⫘↔10000111001=≮⫘↔1011101110010","layer":3},{"info":"≮⫘↔111001100111010001001010∓⋝≮⫘↔1011101110010=≮⫘↔1000011","layer":2},{"info":"≮⫘↔100010100101⨪↰⇹≮⫘↔101110111010=≮⫘↔100010100101","layer":3},{"info":"≮⫘↔10100110001⪇≇⋚≮⫘↔110100110000=≮⫘↔0","layer":3},{"info":"≮⫘↔100010100101⊝⪿⪼≮⫘↔0=≮⫘↔1001011011010101","layer":2},{"info":"≮⫘↔1000011⩹≮⫘↔1001011011010101=≮⫘↔1001011011010011","layer":1},{"info":"≮⫘↔101001000110⇴∐≮⫘↔10100111110=NaN","layer":3},{"info":"≮⫘↔1000011100000⪃⊛⇣≮⫘↔1010010000001=≮⫘↔10011010010","layer":3},{"info":"NaN≃≮⫘↔10011010010=NaN","layer":2},{"info":"≮⫘↔11101000000⋝⋈⪟≮⫘↔1000110010011=≮⫘↔11101000000","layer":3},{"info":"≮⫘↔11101000000⊚⫡⫭=≮⫘↔-101011100010","layer":2},{"info":"NaN∑⇟⊟≮⫘↔-101011100010=NaN","layer":1},{"info":"≮⫘↔1001011011010011≎⪠NaN=≮⫘↔100110001100110","layer":0}]}
{"id":401,"expression_no_base_symbol":"(⪲⇎$5893$)≴⪞⇿($1837$⪢$3310$)≳⇉($2439$≒∊$1799$⊭↱($6300$⊠≄⫣))⫸⊐(⊥$4801$→⨶⪴$1182$)≴⪞⇿($2887$⪃⊛⇣$1765$⨳⩥⨓$5568$⫥∨⫟$1019$)","expression":"(⪲⇎≮⫘↔1011100000101)≴⪞⇿(≮⫘↔11100101101⪢≮⫘↔110011101110)≳⇉(≮⫘↔100110000111≒∊≮⫘↔11100000111⊭↱(≮⫘↔1100010011100⊠≄⫣))⫸⊐(⊥≮⫘↔1001011000001→⨶⪴≮⫘↔10010011110)≴⪞⇿(≮⫘↔101101000111⪃⊛⇣≮⫘↔11011100101⨳⩥⨓≮⫘↔1010111000000⫥∨⫟≮⫘↔1111111011)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":201907864,"operation_count":14,"complexity_ratio":14421990.285714285,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5893,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1837,"base":2},"right_expr":{"type":"numeric_atoms","value":3310,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2439,"base":2},"right_expr":{"type":"numeric_atoms","value":1799,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6300,"base":2}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4801,"base":2},"right_expr":{"type":"numeric_atoms","value":1182,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2887,"base":2},"right_expr":{"type":"numeric_atoms","value":1765,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5568,"base":2},"right_expr":{"type":"numeric_atoms","value":1019,"base":2}}}}},"used_operators":["mqXw5SEYmG","V0kx6qeWkN","lvlrscuwVU","XPYlsWDdGa","dWAJyo7jo9","COABgblf1C","5KTvxBwnZo","DIvbN7qnHd","Q3PJZHRvZv","bF6eod5Gvf","nCS4ZIUYfx","rrgAzCduG9","KYD54nUTWz"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5893","layer":4},{"info":"compute unary expreesion, input=5893, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11786","layer":3},{"info":"number node, value=1837","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=3310, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11786, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=265098572","layer":2},{"info":"number node, value=2439","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=1799, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1955","layer":3},{"info":"number node, value=6300","layer":4},{"info":"compute unary expreesion, input=6300, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1955, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3915","layer":2},{"info":"compute binary expreesion, left_input=265098572, right_input=3915, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=4801","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=1182, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3546","layer":3},{"info":"compute unary expreesion, input=-3546, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=2887","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=1765, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=5568","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=5568, right_input=1019, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎≮⫘↔1011100000101)≴⪞⇿(≮⫘↔11100101101⪢≮⫘↔110011101110)≳⇉(≮⫘↔100110000111≒∊≮⫘↔11100000111⊭↱(≮⫘↔1100010011100⊠≄⫣))⫸⊐(⊥≮⫘↔1001011000001→⨶⪴≮⫘↔10010011110)≴⪞⇿(≮⫘↔101101000111⪃⊛⇣≮⫘↔11011100101⨳⩥⨓≮⫘↔1010111000000⫥∨⫟≮⫘↔1111111011)=NaN","reverse_text":"NaN=(⪲⇎≮⫘↔1011100000101)≴⪞⇿(≮⫘↔11100101101⪢≮⫘↔110011101110)≳⇉(≮⫘↔100110000111≒∊≮⫘↔11100000111⊭↱(≮⫘↔1100010011100⊠≄⫣))⫸⊐(⊥≮⫘↔1001011000001→⨶⪴≮⫘↔10010011110)≴⪞⇿(≮⫘↔101101000111⪃⊛⇣≮⫘↔11011100101⨳⩥⨓≮⫘↔1010111000000⫥∨⫟≮⫘↔1111111011)","cot":[{"info":"⪲⇎≮⫘↔1011100000101=≮⫘↔10111000001010","layer":3},{"info":"≮⫘↔11100101101⪢≮⫘↔110011101110=NaN","layer":3},{"info":"≮⫘↔10111000001010≴⪞⇿NaN=≮⫘↔1111110011010001010101001100","layer":2},{"info":"≮⫘↔100110000111≒∊≮⫘↔11100000111=≮⫘↔-11110100011","layer":3},{"info":"≮⫘↔1100010011100⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔-11110100011⊭↱≮⫘↔0=≮⫘↔111101001011","layer":2},{"info":"≮⫘↔1111110011010001010101001100≳⇉≮⫘↔111101001011=NaN","layer":1},{"info":"≮⫘↔1001011000001→⨶⪴≮⫘↔10010011110=≮⫘↔-110111011010","layer":3},{"info":"⊥≮⫘↔-110111011010=NaN","layer":2},{"info":"≮⫘↔101101000111⪃⊛⇣≮⫘↔11011100101=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1010111000000⫥∨⫟≮⫘↔1111111011=NaN","layer":3},{"info":"≮⫘↔10011010010⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN≴⪞⇿NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"(($1792$%$1633$)⩭)⊴($1129$⊪)⇂≾⫗$1016$⇡⇂$2725$⇷(($6557$⋳⪒$7413$)≌($4727$⨑≵⋬$1648$)⩉⊫⨁)","expression":"((≮⫘↔11100000000%≮⫘↔11001100001)⩭)⊴(≮⫘↔10001101001⊪)⇂≾⫗≮⫘↔1111111000⇡⇂≮⫘↔101010100101⇷((≮⫘↔1100110011101⋳⪒≮⫘↔1110011110101)≌(≮⫘↔1001001110111⨑≵⋬≮⫘↔11001110000)⩉⊫⨁)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":91426,"operation_count":11,"complexity_ratio":8311.454545454546,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1792,"base":2},"right_expr":{"type":"numeric_atoms","value":1633,"base":2}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1129,"base":2}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1016,"base":2},"right_expr":{"type":"numeric_atoms","value":2725,"base":2}}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6557,"base":2},"right_expr":{"type":"numeric_atoms","value":7413,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4727,"base":2},"right_expr":{"type":"numeric_atoms","value":1648,"base":2}}}}},"used_operators":["mp7IySMOzn","Nsiff2A1zJ","yIPP7u6H5x","k8jYdgA6NY","aBQ6xLxuTc","zVYPLywUTj","UMwdvZNt44","7qqUquhhSb","lyWz822IDG","12rbrZMWeM","XnXgA4xnOs"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","7j4O788W3g","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=1633, op_id = k8jYdgA6NY binary_op_definition= 'None', output=159","layer":3},{"info":"compute unary expreesion, input=159, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=338","layer":2},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2725, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=338, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=6557","layer":4},{"info":"number node, value=7413","layer":4},{"info":"compute binary expreesion, left_input=6557, right_input=7413, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5414","layer":3},{"info":"number node, value=4727","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=4727, right_input=1648, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=13478","layer":3},{"info":"compute binary expreesion, left_input=5414, right_input=13478, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11100000000%≮⫘↔11001100001)⩭)⊴(≮⫘↔10001101001⊪)⇂≾⫗≮⫘↔1111111000⇡⇂≮⫘↔101010100101⇷((≮⫘↔1100110011101⋳⪒≮⫘↔1110011110101)≌(≮⫘↔1001001110111⨑≵⋬≮⫘↔11001110000)⩉⊫⨁)=NaN","reverse_text":"NaN=((≮⫘↔11100000000%≮⫘↔11001100001)⩭)⊴(≮⫘↔10001101001⊪)⇂≾⫗≮⫘↔1111111000⇡⇂≮⫘↔101010100101⇷((≮⫘↔1100110011101⋳⪒≮⫘↔1110011110101)≌(≮⫘↔1001001110111⨑≵⋬≮⫘↔11001110000)⩉⊫⨁)","cot":[{"info":"≮⫘↔11100000000%≮⫘↔11001100001=≮⫘↔10011111","layer":3},{"info":"≮⫘↔10011111⩭=≮⫘↔101010010","layer":2},{"info":"≮⫘↔10001101001⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔1111111000⇡⇂≮⫘↔101010100101=NaN","layer":3},{"info":"≮⫘↔0⇂≾⫗NaN=NaN","layer":2},{"info":"≮⫘↔101010010⊴NaN=NaN","layer":1},{"info":"≮⫘↔1100110011101⋳⪒≮⫘↔1110011110101=≮⫘↔1010100100110","layer":3},{"info":"≮⫘↔1001001110111⨑≵⋬≮⫘↔11001110000=≮⫘↔11010010100110","layer":3},{"info":"≮⫘↔1010100100110≌≮⫘↔11010010100110=NaN","layer":2},{"info":"NaN⩉⊫⨁=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"((⨰⫟⨤$1217$)⊨($4850$⫥∨⫟$4962$)≎⊠⪸(↽≂($5870$⊝)))⫲≸⪮(≇⪴(($4212$↙$2621$)≥⨤⩑($2533$⪐)))","expression":"((⨰⫟⨤≮⫘↔10011000001)⊨(≮⫘↔1001011110010⫥∨⫟≮⫘↔1001101100010)≎⊠⪸(↽≂(≮⫘↔1011011101110⊝)))⫲≸⪮(≇⪴((≮⫘↔1000001110100↙≮⫘↔101000111101)≥⨤⩑(≮⫘↔100111100101⪐)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6916,"operation_count":11,"complexity_ratio":628.7272727272727,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1217,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4850,"base":2},"right_expr":{"type":"numeric_atoms","value":4962,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":5870,"base":2}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4212,"base":2},"right_expr":{"type":"numeric_atoms","value":2621,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2533,"base":2}}}}},"used_operators":["P3lXMJvFrc","bJkvcejdHO","vg4gO5BX6G","Tw270M8GLb","KYD54nUTWz","u6S6b8DprG","O6EZ0fifGK","zoVPnxeHJ3","gJLn6v0xnP","yyfyN0ffXY","eH2TOUuTDT"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4850","layer":4},{"info":"number node, value=4962","layer":4},{"info":"compute binary expreesion, left_input=4850, right_input=4962, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"number node, value=5870","layer":4},{"info":"compute unary expreesion, input=5870, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=5870","layer":3},{"info":"compute unary expreesion, input=5870, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11740","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11740, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=4212","layer":4},{"info":"number node, value=2621","layer":4},{"info":"compute binary expreesion, left_input=4212, right_input=2621, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7863","layer":3},{"info":"number node, value=2533","layer":4},{"info":"compute unary expreesion, input=2533, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5066","layer":3},{"info":"compute binary expreesion, left_input=-7863, right_input=5066, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2362","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-2362, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((⨰⫟⨤≮⫘↔10011000001)⊨(≮⫘↔1001011110010⫥∨⫟≮⫘↔1001101100010)≎⊠⪸(↽≂(≮⫘↔1011011101110⊝)))⫲≸⪮(≇⪴((≮⫘↔1000001110100↙≮⫘↔101000111101)≥⨤⩑(≮⫘↔100111100101⪐)))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((⨰⫟⨤≮⫘↔10011000001)⊨(≮⫘↔1001011110010⫥∨⫟≮⫘↔1001101100010)≎⊠⪸(↽≂(≮⫘↔1011011101110⊝)))⫲≸⪮(≇⪴((≮⫘↔1000001110100↙≮⫘↔101000111101)≥⨤⩑(≮⫘↔100111100101⪐)))","cot":[{"info":"⨰⫟⨤≮⫘↔10011000001=NaN","layer":3},{"info":"≮⫘↔1001011110010⫥∨⫟≮⫘↔1001101100010=NaN","layer":3},{"info":"NaN⊨NaN=NaN","layer":2},{"info":"≮⫘↔1011011101110⊝=≮⫘↔1011011101110","layer":3},{"info":"↽≂≮⫘↔1011011101110=≮⫘↔-10110111011100","layer":2},{"info":"NaN≎⊠⪸≮⫘↔-10110111011100=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000001110100↙≮⫘↔101000111101=≮⫘↔-1111010110111","layer":3},{"info":"≮⫘↔100111100101⪐=≮⫘↔1001111001010","layer":3},{"info":"≮⫘↔-1111010110111≥⨤⩑≮⫘↔1001111001010=≮⫘↔10011010010","layer":2},{"info":"≇⪴≮⫘↔10011010010=≮⫘↔-100100111010","layer":1},{"info":"≮⫘↔1000011⫲≸⪮≮⫘↔-100100111010=≮⫘↔1000011","layer":0}]}
{"id":404,"expression_no_base_symbol":"((⋣($1683$↙$2974$))≥⨤⩑((⩎⋉$5620$)⊊))⇴((⊽($1035$⊍⩺⋍$2972$))⫸⇳($1598$⫥∨⫟$1031$)⪥($3603$⋾⨃∁$1059$))","expression":"((⋣(≮⫘↔11010010011↙≮⫘↔101110011110))≥⨤⩑((⩎⋉≮⫘↔1010111110100)⊊))⇴((⊽(≮⫘↔10000001011⊍⩺⋍≮⫘↔101110011100))⫸⇳(≮⫘↔11000111110⫥∨⫟≮⫘↔10000000111)⪥(≮⫘↔111000010011⋾⨃∁≮⫘↔10000100011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4971,"operation_count":12,"complexity_ratio":414.25,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1683,"base":2},"right_expr":{"type":"numeric_atoms","value":2974,"base":2}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":5620,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1035,"base":2},"right_expr":{"type":"numeric_atoms","value":2972,"base":2}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1598,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3603,"base":2},"right_expr":{"type":"numeric_atoms","value":1059,"base":2}}}}},"used_operators":["4JB6nKBMSY","gJLn6v0xnP","zQWRhDnn8F","yyfyN0ffXY","W9R8I5fN5A","FlXk3pOYe8","gx7XJ7hdpj","QxG7OkqoLX","OXDGMFPWZM","QbnwKVWMIQ","KYD54nUTWz","212REbPD9h"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","tmPS8pqC7x","DpFCA1CohY","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","8HhzD0ZcuI","rGHVDoGpnC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1683","layer":4},{"info":"number node, value=2974","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=2974, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8922","layer":3},{"info":"compute unary expreesion, input=-8922, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"number node, value=5620","layer":4},{"info":"compute unary expreesion, input=5620, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=90927, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=1035","layer":4},{"info":"number node, value=2972","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=2972, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":2},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1031, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3603","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=1059, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=11202008","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11202008, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋣(≮⫘↔11010010011↙≮⫘↔101110011110))≥⨤⩑((⩎⋉≮⫘↔1010111110100)⊊))⇴((⊽(≮⫘↔10000001011⊍⩺⋍≮⫘↔101110011100))⫸⇳(≮⫘↔11000111110⫥∨⫟≮⫘↔10000000111)⪥(≮⫘↔111000010011⋾⨃∁≮⫘↔10000100011))=NaN","reverse_text":"NaN=((⋣(≮⫘↔11010010011↙≮⫘↔101110011110))≥⨤⩑((⩎⋉≮⫘↔1010111110100)⊊))⇴((⊽(≮⫘↔10000001011⊍⩺⋍≮⫘↔101110011100))⫸⇳(≮⫘↔11000111110⫥∨⫟≮⫘↔10000000111)⪥(≮⫘↔111000010011⋾⨃∁≮⫘↔10000100011))","cot":[{"info":"≮⫘↔11010010011↙≮⫘↔101110011110=≮⫘↔-10001011011010","layer":3},{"info":"⋣≮⫘↔-10001011011010=≮⫘↔-1110001","layer":2},{"info":"⩎⋉≮⫘↔1010111110100=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔11001110010⊊=≮⫘↔10110001100101111","layer":2},{"info":"≮⫘↔-1110001≥⨤⩑≮⫘↔10110001100101111=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔10000001011⊍⩺⋍≮⫘↔101110011100=NaN","layer":3},{"info":"⊽NaN=NaN","layer":2},{"info":"≮⫘↔11000111110⫥∨⫟≮⫘↔10000000111=NaN","layer":3},{"info":"≮⫘↔111000010011⋾⨃∁≮⫘↔10000100011=≮⫘↔101010101110110111011000","layer":3},{"info":"NaN⪥≮⫘↔101010101110110111011000=NaN","layer":2},{"info":"NaN⫸⇳NaN=NaN","layer":1},{"info":"≮⫘↔10011010010⇴NaN=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"((≱⇩⩕$5360$⪪$4693$)⩢≌)⇉⇱⇎","expression":"((≱⇩⩕≮⫘↔1010011110000⪪≮⫘↔1001001010101)⩢≌)⇉⇱⇎","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16515,"operation_count":4,"complexity_ratio":4128.75,"tree":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":5360,"base":2},"right_expr":{"type":"numeric_atoms","value":4693,"base":2}}}}},"used_operators":["MRPaB8lBjK","D617RFjZIq","3DZMoQKiUl","xD69zh8xqp"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","hTbEZDJLEm","o20kRiQErp","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","FU0Cs4j7VP","JclMnS0uGI"],"result":"≮⫘↔-1000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5360","layer":4},{"info":"number node, value=4693","layer":4},{"info":"compute binary expreesion, left_input=5360, right_input=4693, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-805449","layer":3},{"info":"compute unary expreesion, input=-805449, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=5638753","layer":2},{"info":"compute unary expreesion, input=5638753, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-8","layer":0}],"base":2,"result_base":2,"text":"((≱⇩⩕≮⫘↔1010011110000⪪≮⫘↔1001001010101)⩢≌)⇉⇱⇎=≮⫘↔-1000","reverse_text":"≮⫘↔-1000=((≱⇩⩕≮⫘↔1010011110000⪪≮⫘↔1001001010101)⩢≌)⇉⇱⇎","cot":[{"info":"≮⫘↔1010011110000⪪≮⫘↔1001001010101=≮⫘↔-11000100101001001001","layer":3},{"info":"≱⇩⩕≮⫘↔-11000100101001001001=≮⫘↔10101100000101001100001","layer":2},{"info":"≮⫘↔10101100000101001100001⩢≌=≮⫘↔1110001","layer":1},{"info":"≮⫘↔1110001⇉⇱⇎=≮⫘↔-1000","layer":0}]}
{"id":406,"expression_no_base_symbol":"(($1646$⩒⫫$7842$)≄⊠$2795$⨼⩣$2184$⋖∅⋲)∺≝⩲(↨⩢⫨($2252$⪇≇⋚$4565$))⫣⪄⊒($6338$⨂≜$2579$⊢($2471$⩺⪪$3788$))","expression":"((≮⫘↔11001101110⩒⫫≮⫘↔1111010100010)≄⊠≮⫘↔101011101011⨼⩣≮⫘↔100010001000⋖∅⋲)∺≝⩲(↨⩢⫨(≮⫘↔100011001100⪇≇⋚≮⫘↔1000111010101))⫣⪄⊒(≮⫘↔1100011000010⨂≜≮⫘↔101000010011⊢(≮⫘↔100110100111⩺⪪≮⫘↔111011001100))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7299,"operation_count":11,"complexity_ratio":663.5454545454545,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1646,"base":2},"right_expr":{"type":"numeric_atoms","value":7842,"base":2}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2795,"base":2},"right_expr":{"type":"numeric_atoms","value":2184,"base":2}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2252,"base":2},"right_expr":{"type":"numeric_atoms","value":4565,"base":2}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6338,"base":2},"right_expr":{"type":"numeric_atoms","value":2579,"base":2}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2471,"base":2},"right_expr":{"type":"numeric_atoms","value":3788,"base":2}}}}},"used_operators":["KPf6cnQVty","L95AwlJzhO","vXNesLlMH1","KFSx94NKJn","JxwMv5le6e","RabNbG55vr","Z5CJsN7DuW","3sJ7IOPOlU","5twsqlHp2o","k1SHOSEABc","uvdQJvN4PV"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1646","layer":4},{"info":"number node, value=7842","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=7842, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1344","layer":3},{"info":"number node, value=2795","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=2795, right_input=2184, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1344, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute unary expreesion, input=1500, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"number node, value=2252","layer":4},{"info":"number node, value=4565","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=4565, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=6338","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=6338, right_input=2579, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2471","layer":4},{"info":"number node, value=3788","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=3788, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-384231, right_input=160, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11001101110⩒⫫≮⫘↔1111010100010)≄⊠≮⫘↔101011101011⨼⩣≮⫘↔100010001000⋖∅⋲)∺≝⩲(↨⩢⫨(≮⫘↔100011001100⪇≇⋚≮⫘↔1000111010101))⫣⪄⊒(≮⫘↔1100011000010⨂≜≮⫘↔101000010011⊢(≮⫘↔100110100111⩺⪪≮⫘↔111011001100))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((≮⫘↔11001101110⩒⫫≮⫘↔1111010100010)≄⊠≮⫘↔101011101011⨼⩣≮⫘↔100010001000⋖∅⋲)∺≝⩲(↨⩢⫨(≮⫘↔100011001100⪇≇⋚≮⫘↔1000111010101))⫣⪄⊒(≮⫘↔1100011000010⨂≜≮⫘↔101000010011⊢(≮⫘↔100110100111⩺⪪≮⫘↔111011001100))","cot":[{"info":"≮⫘↔11001101110⩒⫫≮⫘↔1111010100010=≮⫘↔10101000000","layer":3},{"info":"≮⫘↔101011101011⨼⩣≮⫘↔100010001000=NaN","layer":3},{"info":"≮⫘↔10101000000≄⊠NaN=≮⫘↔10111011100","layer":2},{"info":"≮⫘↔10111011100⋖∅⋲=≮⫘↔-1011101110011100111","layer":1},{"info":"≮⫘↔100011001100⪇≇⋚≮⫘↔1000111010101=≮⫘↔0","layer":3},{"info":"↨⩢⫨≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1100011000010⨂≜≮⫘↔101000010011=NaN","layer":3},{"info":"≮⫘↔100110100111⩺⪪≮⫘↔111011001100=≮⫘↔-11100011010","layer":3},{"info":"NaN⊢≮⫘↔-11100011010=NaN","layer":2},{"info":"≮⫘↔0⫣⪄⊒NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔-1011101110011100111∺≝⩲≮⫘↔10100000=≮⫘↔10100000","layer":0}]}
{"id":407,"expression_no_base_symbol":"(($1866$⋅⇍$2181$)⇤($1015$⪕$6045$)⊍)⫻⋑⊟","expression":"((≮⫘↔11101001010⋅⇍≮⫘↔100010000101)⇤(≮⫘↔1111110111⪕≮⫘↔1011110011101)⊍)⫻⋑⊟","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":66,"operation_count":5,"complexity_ratio":13.2,"tree":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1866,"base":2},"right_expr":{"type":"numeric_atoms","value":2181,"base":2}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1015,"base":2},"right_expr":{"type":"numeric_atoms","value":6045,"base":2}}}}},"used_operators":["o575Zjdmzy","3nqY3DE9mg","YSKBFp38Pu","AdZkA7nFnk","umQnsF7QlU"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≮⫘↔-11110010101000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1866","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=2181, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=6045","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=6045, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-55, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=3233","layer":2},{"info":"compute unary expreesion, input=3233, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=8019","layer":1},{"info":"compute unary expreesion, input=8019, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-15528","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11101001010⋅⇍≮⫘↔100010000101)⇤(≮⫘↔1111110111⪕≮⫘↔1011110011101)⊍)⫻⋑⊟=≮⫘↔-11110010101000","reverse_text":"≮⫘↔-11110010101000=((≮⫘↔11101001010⋅⇍≮⫘↔100010000101)⇤(≮⫘↔1111110111⪕≮⫘↔1011110011101)⊍)⫻⋑⊟","cot":[{"info":"≮⫘↔11101001010⋅⇍≮⫘↔100010000101=≮⫘↔-10110","layer":3},{"info":"≮⫘↔1111110111⪕≮⫘↔1011110011101=≮⫘↔-110111","layer":3},{"info":"≮⫘↔-10110⇤≮⫘↔-110111=≮⫘↔110010100001","layer":2},{"info":"≮⫘↔110010100001⊍=≮⫘↔1111101010011","layer":1},{"info":"≮⫘↔1111101010011⫻⋑⊟=≮⫘↔-11110010101000","layer":0}]}
{"id":408,"expression_no_base_symbol":"(⊀(⊗$1512$)⫉⨲⊜$5318$⨿$5482$)∖($1201$≥⨤⩑$1459$)⫞⩸⩒($2471$∺≝⩲$3183$)⩣⫁∢(($1598$⋝⋈⪟$1506$)≄⊠$6300$⋹⋡⊁$4997$)","expression":"(⊀(⊗≮⫘↔10111101000)⫉⨲⊜≮⫘↔1010011000110⨿≮⫘↔1010101101010)∖(≮⫘↔10010110001≥⨤⩑≮⫘↔10110110011)⫞⩸⩒(≮⫘↔100110100111∺≝⩲≮⫘↔110001101111)⩣⫁∢((≮⫘↔11000111110⋝⋈⪟≮⫘↔10111100010)≄⊠≮⫘↔1100010011100⋹⋡⊁≮⫘↔1001110000101)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":63092,"operation_count":12,"complexity_ratio":5257.666666666667,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1512,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5318,"base":2},"right_expr":{"type":"numeric_atoms","value":5482,"base":2}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1201,"base":2},"right_expr":{"type":"numeric_atoms","value":1459,"base":2}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2471,"base":2},"right_expr":{"type":"numeric_atoms","value":3183,"base":2}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1598,"base":2},"right_expr":{"type":"numeric_atoms","value":1506,"base":2}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6300,"base":2},"right_expr":{"type":"numeric_atoms","value":4997,"base":2}}}}},"used_operators":["tXD093vOjl","oPMjh9089D","WhqkvtTD3t","RhiyfpczSx","abYXlopdE0","JDUIKTTSIa","XGcMNugi78","gJLn6v0xnP","KPf6cnQVty","vXNesLlMH1","2DDjHMKMc0","As8RqfVLgs"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1512","layer":4},{"info":"compute unary expreesion, input=1512, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3024","layer":3},{"info":"number node, value=5318","layer":4},{"info":"number node, value=5482","layer":4},{"info":"compute binary expreesion, left_input=5318, right_input=5482, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-3024, right_input=-319, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-429","layer":2},{"info":"compute unary expreesion, input=-429, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=7218","layer":1},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1459, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2471","layer":4},{"info":"number node, value=3183","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=3183, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=160","layer":2},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1506, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1598","layer":3},{"info":"number node, value=6300","layer":4},{"info":"number node, value=4997","layer":4},{"info":"compute binary expreesion, left_input=6300, right_input=4997, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5747","layer":3},{"info":"compute binary expreesion, left_input=1598, right_input=5747, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=96620","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=96620, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-159","layer":1},{"info":"compute binary expreesion, left_input=7218, right_input=-159, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⊀(⊗≮⫘↔10111101000)⫉⨲⊜≮⫘↔1010011000110⨿≮⫘↔1010101101010)∖(≮⫘↔10010110001≥⨤⩑≮⫘↔10110110011)⫞⩸⩒(≮⫘↔100110100111∺≝⩲≮⫘↔110001101111)⩣⫁∢((≮⫘↔11000111110⋝⋈⪟≮⫘↔10111100010)≄⊠≮⫘↔1100010011100⋹⋡⊁≮⫘↔1001110000101)=≮⫘↔0","reverse_text":"≮⫘↔0=(⊀(⊗≮⫘↔10111101000)⫉⨲⊜≮⫘↔1010011000110⨿≮⫘↔1010101101010)∖(≮⫘↔10010110001≥⨤⩑≮⫘↔10110110011)⫞⩸⩒(≮⫘↔100110100111∺≝⩲≮⫘↔110001101111)⩣⫁∢((≮⫘↔11000111110⋝⋈⪟≮⫘↔10111100010)≄⊠≮⫘↔1100010011100⋹⋡⊁≮⫘↔1001110000101)","cot":[{"info":"⊗≮⫘↔10111101000=≮⫘↔-101111010000","layer":3},{"info":"≮⫘↔1010011000110⨿≮⫘↔1010101101010=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔-101111010000⫉⨲⊜≮⫘↔-100111111=≮⫘↔-110101101","layer":2},{"info":"⊀≮⫘↔-110101101=≮⫘↔1110000110010","layer":1},{"info":"≮⫘↔10010110001≥⨤⩑≮⫘↔10110110011=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔100110100111∺≝⩲≮⫘↔110001101111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10011010010⫞⩸⩒≮⫘↔10100000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔11000111110⋝⋈⪟≮⫘↔10111100010=≮⫘↔11000111110","layer":3},{"info":"≮⫘↔1100010011100⋹⋡⊁≮⫘↔1001110000101=≮⫘↔1011001110011","layer":3},{"info":"≮⫘↔11000111110≄⊠≮⫘↔1011001110011=≮⫘↔10111100101101100","layer":2},{"info":"≮⫘↔10100000⩣⫁∢≮⫘↔10111100101101100=≮⫘↔-10011111","layer":1},{"info":"≮⫘↔1110000110010∖≮⫘↔-10011111=≮⫘↔0","layer":0}]}
{"id":409,"expression_no_base_symbol":"⊬↢(($1363$⊔$1230$)↳≱(⋗⩴⪓$5102$)⪒⊣⊆($4404$⨚⇆$1614$)⨑⩅≇$1307$⇡⇂$1045$)","expression":"⊬↢((≮⫘↔10101010011⊔≮⫘↔10011001110)↳≱(⋗⩴⪓≮⫘↔1001111101110)⪒⊣⊆(≮⫘↔1000100110100⨚⇆≮⫘↔11001001110)⨑⩅≇≮⫘↔10100011011⇡⇂≮⫘↔10000010101)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43032,"operation_count":8,"complexity_ratio":5379.0,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1363,"base":2},"right_expr":{"type":"numeric_atoms","value":1230,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":5102,"base":2}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4404,"base":2},"right_expr":{"type":"numeric_atoms","value":1614,"base":2}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1307,"base":2},"right_expr":{"type":"numeric_atoms","value":1045,"base":2}}}}},"used_operators":["WPoGxAaPR1","eRqsBgTDFp","JwTKLfZU96","E4l6HwMY31","nOKPl9n5zu","h92wMvzauj","lwHaAYXP2r","UMwdvZNt44"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","sdazOOVcIp","W4YGzv6Whe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"≮⫘↔11011010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=1230, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6476","layer":3},{"info":"number node, value=5102","layer":4},{"info":"compute unary expreesion, input=5102, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-4189","layer":3},{"info":"compute binary expreesion, left_input=6476, right_input=-4189, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=4404","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=4404, right_input=1614, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1307","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=1045, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=935, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=1972","layer":1},{"info":"compute unary expreesion, input=1972, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":0}],"base":2,"result_base":2,"text":"⊬↢((≮⫘↔10101010011⊔≮⫘↔10011001110)↳≱(⋗⩴⪓≮⫘↔1001111101110)⪒⊣⊆(≮⫘↔1000100110100⨚⇆≮⫘↔11001001110)⨑⩅≇≮⫘↔10100011011⇡⇂≮⫘↔10000010101)=≮⫘↔11011010","reverse_text":"≮⫘↔11011010=⊬↢((≮⫘↔10101010011⊔≮⫘↔10011001110)↳≱(⋗⩴⪓≮⫘↔1001111101110)⪒⊣⊆(≮⫘↔1000100110100⨚⇆≮⫘↔11001001110)⨑⩅≇≮⫘↔10100011011⇡⇂≮⫘↔10000010101)","cot":[{"info":"≮⫘↔10101010011⊔≮⫘↔10011001110=≮⫘↔1100101001100","layer":3},{"info":"⋗⩴⪓≮⫘↔1001111101110=≮⫘↔-1000001011101","layer":3},{"info":"≮⫘↔1100101001100↳≱≮⫘↔-1000001011101=≮⫘↔0","layer":2},{"info":"≮⫘↔1000100110100⨚⇆≮⫘↔11001001110=NaN","layer":3},{"info":"≮⫘↔10100011011⇡⇂≮⫘↔10000010101=NaN","layer":3},{"info":"NaN⨑⩅≇NaN=≮⫘↔1110100111","layer":2},{"info":"≮⫘↔0⪒⊣⊆≮⫘↔1110100111=≮⫘↔11110110100","layer":1},{"info":"⊬↢≮⫘↔11110110100=≮⫘↔11011010","layer":0}]}
{"id":410,"expression_no_base_symbol":"(⇤←$6578$⪛⫼$6569$)⩖⊿($6029$⇤$1966$⨟⋌⩍($1298$∩⋅))⫯⪬∳((↥≼⋛$5201$↡⊰⫅$8697$)⨐⩸⫘($3351$⩺⪪$1305$)↳≱($7286$⨚⇆$7716$))","expression":"(⇤←≮⫘↔1100110110010⪛⫼≮⫘↔1100110101001)⩖⊿(≮⫘↔1011110001101⇤≮⫘↔11110101110⨟⋌⩍(≮⫘↔10100010010∩⋅))⫯⪬∳((↥≼⋛≮⫘↔1010001010001↡⊰⫅≮⫘↔10000111111001)⨐⩸⫘(≮⫘↔110100010111⩺⪪≮⫘↔10100011001)↳≱(≮⫘↔1110001110110⨚⇆≮⫘↔1111000100100))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":173313,"operation_count":13,"complexity_ratio":13331.76923076923,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":6578,"base":2},"right_expr":{"type":"numeric_atoms","value":6569,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6029,"base":2},"right_expr":{"type":"numeric_atoms","value":1966,"base":2}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1298,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5201,"base":2},"right_expr":{"type":"numeric_atoms","value":8697,"base":2}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3351,"base":2},"right_expr":{"type":"numeric_atoms","value":1305,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7286,"base":2},"right_expr":{"type":"numeric_atoms","value":7716,"base":2}}}}},"used_operators":["d7ASUq0ydm","RZ5CV9rWsJ","jfAgQ2OQeM","hyuBjUqXlG","rGHVDoGpnC","YSKBFp38Pu","2MzE1hQ0cz","fu6greOZ01","x5lMkHmzsq","VCtxkLNOzz","JwTKLfZU96","uvdQJvN4PV","lwHaAYXP2r"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Tcnh7f0tEr","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Qy55tPpLXF","3ViojmjbAp","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6578","layer":4},{"info":"number node, value=6569","layer":4},{"info":"compute binary expreesion, left_input=6578, right_input=6569, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-3474","layer":2},{"info":"number node, value=6029","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=6029, right_input=1966, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-37127","layer":3},{"info":"number node, value=1298","layer":4},{"info":"compute unary expreesion, input=1298, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1177","layer":3},{"info":"compute binary expreesion, left_input=-37127, right_input=-1177, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3474, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"number node, value=5201","layer":4},{"info":"number node, value=8697","layer":4},{"info":"compute binary expreesion, left_input=5201, right_input=8697, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=17394","layer":3},{"info":"compute unary expreesion, input=17394, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=3351","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=1305, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-33634","layer":3},{"info":"number node, value=7286","layer":4},{"info":"number node, value=7716","layer":4},{"info":"compute binary expreesion, left_input=7286, right_input=7716, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-33634, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-113, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇤←≮⫘↔1100110110010⪛⫼≮⫘↔1100110101001)⩖⊿(≮⫘↔1011110001101⇤≮⫘↔11110101110⨟⋌⩍(≮⫘↔10100010010∩⋅))⫯⪬∳((↥≼⋛≮⫘↔1010001010001↡⊰⫅≮⫘↔10000111111001)⨐⩸⫘(≮⫘↔110100010111⩺⪪≮⫘↔10100011001)↳≱(≮⫘↔1110001110110⨚⇆≮⫘↔1111000100100))=NaN","reverse_text":"NaN=(⇤←≮⫘↔1100110110010⪛⫼≮⫘↔1100110101001)⩖⊿(≮⫘↔1011110001101⇤≮⫘↔11110101110⨟⋌⩍(≮⫘↔10100010010∩⋅))⫯⪬∳((↥≼⋛≮⫘↔1010001010001↡⊰⫅≮⫘↔10000111111001)⨐⩸⫘(≮⫘↔110100010111⩺⪪≮⫘↔10100011001)↳≱(≮⫘↔1110001110110⨚⇆≮⫘↔1111000100100))","cot":[{"info":"≮⫘↔1100110110010⪛⫼≮⫘↔1100110101001=≮⫘↔1111001000","layer":3},{"info":"⇤←≮⫘↔1111001000=≮⫘↔-110110010010","layer":2},{"info":"≮⫘↔1011110001101⇤≮⫘↔11110101110=≮⫘↔-1001000100000111","layer":3},{"info":"≮⫘↔10100010010∩⋅=≮⫘↔-10010011001","layer":3},{"info":"≮⫘↔-1001000100000111⨟⋌⩍≮⫘↔-10010011001=NaN","layer":2},{"info":"≮⫘↔-110110010010⩖⊿NaN=NaN","layer":1},{"info":"≮⫘↔1010001010001↡⊰⫅≮⫘↔10000111111001=≮⫘↔100001111110010","layer":3},{"info":"↥≼⋛≮⫘↔100001111110010=≮⫘↔-1110001","layer":2},{"info":"≮⫘↔110100010111⩺⪪≮⫘↔10100011001=≮⫘↔-1000001101100010","layer":3},{"info":"≮⫘↔1110001110110⨚⇆≮⫘↔1111000100100=NaN","layer":3},{"info":"≮⫘↔-1000001101100010↳≱NaN=≮⫘↔0","layer":2},{"info":"≮⫘↔-1110001⨐⩸⫘≮⫘↔0=≮⫘↔-1110001","layer":1},{"info":"NaN⫯⪬∳≮⫘↔-1110001=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"(($3420$⩵∡$3746$)⪝(⪛⨧$1085$)⨚⇆(($1731$⇞)≓∲(⫟$1334$)))∳⫺($4000$∳⫺$1236$⪨≂$1971$↱$4080$)≴⪞⇿($1092$≎⪠$1983$≦↸($3203$⨸⪁$2146$))","expression":"((≮⫘↔110101011100⩵∡≮⫘↔111010100010)⪝(⪛⨧≮⫘↔10000111101)⨚⇆((≮⫘↔11011000011⇞)≓∲(⫟≮⫘↔10100110110)))∳⫺(≮⫘↔111110100000∳⫺≮⫘↔10011010100⪨≂≮⫘↔11110110011↱≮⫘↔111111110000)≴⪞⇿(≮⫘↔10001000100≎⪠≮⫘↔11110111111≦↸(≮⫘↔110010000011⨸⪁≮⫘↔100001100010))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":159533,"operation_count":15,"complexity_ratio":10635.533333333333,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3420,"base":2},"right_expr":{"type":"numeric_atoms","value":3746,"base":2}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1085,"base":2}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1731,"base":2}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1334,"base":2}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4000,"base":2},"right_expr":{"type":"numeric_atoms","value":1236,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1971,"base":2},"right_expr":{"type":"numeric_atoms","value":4080,"base":2}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1092,"base":2},"right_expr":{"type":"numeric_atoms","value":1983,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3203,"base":2},"right_expr":{"type":"numeric_atoms","value":2146,"base":2}}}}},"used_operators":["AzXXKTstlj","lwHaAYXP2r","wicAB68Tmb","Y7wcNGrDQJ","6NJAcO2OWT","s1XTVnmDOJ","5JYyxRJd4f","z4E1FaHLuy","lvlrscuwVU","sdazOOVcIp","SR5kFfdi6N","RygbFNSyEJ","aNhz54LH3e","g55IO6H4Gj"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","glklzrTFfD","tifHPKVTfV","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe"],"result":"≮⫘↔-100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3420","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=3420, right_input=3746, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3215","layer":3},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3571","layer":3},{"info":"compute binary expreesion, left_input=-3215, right_input=3571, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-16699","layer":2},{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=6837","layer":3},{"info":"number node, value=1334","layer":4},{"info":"compute unary expreesion, input=1334, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-3095","layer":3},{"info":"compute binary expreesion, left_input=6837, right_input=-3095, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-256904","layer":2},{"info":"compute binary expreesion, left_input=-16699, right_input=-256904, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=4000","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=1236, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1971","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=4080, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-11718","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-11718, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=23018","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1983, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=3203","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=2146, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10698","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=10698, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-59831","layer":2},{"info":"compute binary expreesion, left_input=23018, right_input=-59831, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1033952609","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1033952609, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110101011100⩵∡≮⫘↔111010100010)⪝(⪛⨧≮⫘↔10000111101)⨚⇆((≮⫘↔11011000011⇞)≓∲(⫟≮⫘↔10100110110)))∳⫺(≮⫘↔111110100000∳⫺≮⫘↔10011010100⪨≂≮⫘↔11110110011↱≮⫘↔111111110000)≴⪞⇿(≮⫘↔10001000100≎⪠≮⫘↔11110111111≦↸(≮⫘↔110010000011⨸⪁≮⫘↔100001100010))=≮⫘↔-100000100","reverse_text":"≮⫘↔-100000100=((≮⫘↔110101011100⩵∡≮⫘↔111010100010)⪝(⪛⨧≮⫘↔10000111101)⨚⇆((≮⫘↔11011000011⇞)≓∲(⫟≮⫘↔10100110110)))∳⫺(≮⫘↔111110100000∳⫺≮⫘↔10011010100⪨≂≮⫘↔11110110011↱≮⫘↔111111110000)≴⪞⇿(≮⫘↔10001000100≎⪠≮⫘↔11110111111≦↸(≮⫘↔110010000011⨸⪁≮⫘↔100001100010))","cot":[{"info":"≮⫘↔110101011100⩵∡≮⫘↔111010100010=≮⫘↔-110010001111","layer":3},{"info":"⪛⨧≮⫘↔10000111101=≮⫘↔110111110011","layer":3},{"info":"≮⫘↔-110010001111⪝≮⫘↔110111110011=≮⫘↔-100000100111011","layer":2},{"info":"≮⫘↔11011000011⇞=≮⫘↔1101010110101","layer":3},{"info":"⫟≮⫘↔10100110110=≮⫘↔-110000010111","layer":3},{"info":"≮⫘↔1101010110101≓∲≮⫘↔-110000010111=≮⫘↔-111110101110001000","layer":2},{"info":"≮⫘↔-100000100111011⨚⇆≮⫘↔-111110101110001000=NaN","layer":1},{"info":"≮⫘↔111110100000∳⫺≮⫘↔10011010100=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔11110110011↱≮⫘↔111111110000=≮⫘↔-10110111000110","layer":3},{"info":"≮⫘↔-100000100⪨≂≮⫘↔-10110111000110=≮⫘↔101100111101010","layer":2},{"info":"≮⫘↔10001000100≎⪠≮⫘↔11110111111=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔110010000011⨸⪁≮⫘↔100001100010=≮⫘↔10100111001010","layer":3},{"info":"≮⫘↔100110001100110≦↸≮⫘↔10100111001010=≮⫘↔-1110100110110111","layer":2},{"info":"≮⫘↔101100111101010≴⪞⇿≮⫘↔-1110100110110111=≮⫘↔111101101000001101110101100001","layer":1},{"info":"NaN∳⫺≮⫘↔111101101000001101110101100001=≮⫘↔-100000100","layer":0}]}
{"id":412,"expression_no_base_symbol":"(($4091$⨻⩈⩔$1991$)≄⊠$3326$⩣⫁∢$2303$≬⋮($1616$⫳≱↱$5223$∲⫓(≇⪴$6561$)))≒∊(⨣⨃⇪($3969$⇟⨁⪰))⫁⪎($6728$∓⋝$1032$⨵⪆(⊄⩳↩$4853$))","expression":"((≮⫘↔111111111011⨻⩈⩔≮⫘↔11111000111)≄⊠≮⫘↔110011111110⩣⫁∢≮⫘↔100011111111≬⋮(≮⫘↔11001010000⫳≱↱≮⫘↔1010001100111∲⫓(≇⪴≮⫘↔1100110100001)))≒∊(⨣⨃⇪(≮⫘↔111110000001⇟⨁⪰))⫁⪎(≮⫘↔1101001001000∓⋝≮⫘↔10000001000⨵⪆(⊄⩳↩≮⫘↔1001011110101))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":613,"operation_count":14,"complexity_ratio":43.785714285714285,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4091,"base":2},"right_expr":{"type":"numeric_atoms","value":1991,"base":2}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3326,"base":2},"right_expr":{"type":"numeric_atoms","value":2303,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1616,"base":2},"right_expr":{"type":"numeric_atoms","value":5223,"base":2}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":6561,"base":2}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":3969,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":6728,"base":2},"right_expr":{"type":"numeric_atoms","value":1032,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4853,"base":2}}}}},"used_operators":["5KTvxBwnZo","kbkesczE7y","vXNesLlMH1","nEsXyWgiOK","JDUIKTTSIa","i8ToyICDmI","ZvLB05nZmT","zoVPnxeHJ3","xRrnTEsQ6j","AcOhelriW5","BX1lVwlMe0","2DQ55sFlQl","PoHhknlbAi","8w2t5hMYqp"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","2DDjHMKMc0","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-110000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4091","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=1991, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=24327","layer":3},{"info":"number node, value=3326","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=3326, right_input=2303, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6491","layer":3},{"info":"compute binary expreesion, left_input=24327, right_input=-6491, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=1616","layer":4},{"info":"number node, value=5223","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=5223, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=6561","layer":4},{"info":"compute unary expreesion, input=6561, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-18343","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-18343, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-204, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=3969","layer":4},{"info":"compute unary expreesion, input=3969, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4143","layer":3},{"info":"compute unary expreesion, input=-4143, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=6728","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=6728, right_input=1032, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=4853","layer":4},{"info":"compute unary expreesion, input=4853, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14559","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-14559, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=160, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1245","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=1245, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-384","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111111111011⨻⩈⩔≮⫘↔11111000111)≄⊠≮⫘↔110011111110⩣⫁∢≮⫘↔100011111111≬⋮(≮⫘↔11001010000⫳≱↱≮⫘↔1010001100111∲⫓(≇⪴≮⫘↔1100110100001)))≒∊(⨣⨃⇪(≮⫘↔111110000001⇟⨁⪰))⫁⪎(≮⫘↔1101001001000∓⋝≮⫘↔10000001000⨵⪆(⊄⩳↩≮⫘↔1001011110101))=≮⫘↔-110000000","reverse_text":"≮⫘↔-110000000=((≮⫘↔111111111011⨻⩈⩔≮⫘↔11111000111)≄⊠≮⫘↔110011111110⩣⫁∢≮⫘↔100011111111≬⋮(≮⫘↔11001010000⫳≱↱≮⫘↔1010001100111∲⫓(≇⪴≮⫘↔1100110100001)))≒∊(⨣⨃⇪(≮⫘↔111110000001⇟⨁⪰))⫁⪎(≮⫘↔1101001001000∓⋝≮⫘↔10000001000⨵⪆(⊄⩳↩≮⫘↔1001011110101))","cot":[{"info":"≮⫘↔111111111011⨻⩈⩔≮⫘↔11111000111=≮⫘↔101111100000111","layer":3},{"info":"≮⫘↔110011111110⩣⫁∢≮⫘↔100011111111=≮⫘↔-1100101011011","layer":3},{"info":"≮⫘↔101111100000111≄⊠≮⫘↔-1100101011011=≮⫘↔10111011100","layer":2},{"info":"≮⫘↔11001010000⫳≱↱≮⫘↔1010001100111=≮⫘↔-11001100","layer":3},{"info":"≇⪴≮⫘↔1100110100001=≮⫘↔-100011110100111","layer":3},{"info":"≮⫘↔-11001100∲⫓≮⫘↔-100011110100111=≮⫘↔-11001100","layer":2},{"info":"≮⫘↔10111011100≬⋮≮⫘↔-11001100=≮⫘↔1101100100","layer":1},{"info":"≮⫘↔111110000001⇟⨁⪰=≮⫘↔-1000000101111","layer":3},{"info":"⨣⨃⇪≮⫘↔-1000000101111=≮⫘↔10101111101","layer":2},{"info":"≮⫘↔1101001001000∓⋝≮⫘↔10000001000=≮⫘↔1000011","layer":3},{"info":"⊄⩳↩≮⫘↔1001011110101=≮⫘↔-11100011011111","layer":3},{"info":"≮⫘↔1000011⨵⪆≮⫘↔-11100011011111=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10101111101⫁⪎≮⫘↔10100000=≮⫘↔10011011101","layer":1},{"info":"≮⫘↔1101100100≒∊≮⫘↔10011011101=≮⫘↔-110000000","layer":0}]}
{"id":413,"expression_no_base_symbol":"⊲⪭(($1359$⨀⨒)⫸⊐$1903$⊮⊟↴$2674$⊉≛↸($1231$⪶≀⋏$6851$)⪬($4858$⫸⊐$1409$))","expression":"⊲⪭((≮⫘↔10101001111⨀⨒)⫸⊐≮⫘↔11101101111⊮⊟↴≮⫘↔101001110010⊉≛↸(≮⫘↔10011001111⪶≀⋏≮⫘↔1101011000011)⪬(≮⫘↔1001011111010⫸⊐≮⫘↔10110000001))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":726,"operation_count":8,"complexity_ratio":90.75,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":1359,"base":2}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1903,"base":2},"right_expr":{"type":"numeric_atoms","value":2674,"base":2}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1231,"base":2},"right_expr":{"type":"numeric_atoms","value":6851,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4858,"base":2},"right_expr":{"type":"numeric_atoms","value":1409,"base":2}}}}},"used_operators":["k7HXdKtiEU","DZ8iAZOCBD","mqXw5SEYmG","j6NVkjMzuk","QDVgd2eftb","Ez1Nq5fNfI","zR4jO40bMj"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≮⫘↔10000100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=15758","layer":3},{"info":"number node, value=1903","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=2674, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=15758, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":2},{"info":"number node, value=1231","layer":4},{"info":"number node, value=6851","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=6851, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17627","layer":3},{"info":"number node, value=4858","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=4858, right_input=1409, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5511","layer":3},{"info":"compute binary expreesion, left_input=-17627, right_input=5511, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-125, right_input=1234, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1234","layer":1},{"info":"compute unary expreesion, input=-1234, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=1060","layer":0}],"base":2,"result_base":2,"text":"⊲⪭((≮⫘↔10101001111⨀⨒)⫸⊐≮⫘↔11101101111⊮⊟↴≮⫘↔101001110010⊉≛↸(≮⫘↔10011001111⪶≀⋏≮⫘↔1101011000011)⪬(≮⫘↔1001011111010⫸⊐≮⫘↔10110000001))=≮⫘↔10000100100","reverse_text":"≮⫘↔10000100100=⊲⪭((≮⫘↔10101001111⨀⨒)⫸⊐≮⫘↔11101101111⊮⊟↴≮⫘↔101001110010⊉≛↸(≮⫘↔10011001111⪶≀⋏≮⫘↔1101011000011)⪬(≮⫘↔1001011111010⫸⊐≮⫘↔10110000001))","cot":[{"info":"≮⫘↔10101001111⨀⨒=≮⫘↔11110110001110","layer":3},{"info":"≮⫘↔11101101111⊮⊟↴≮⫘↔101001110010=≮⫘↔0","layer":3},{"info":"≮⫘↔11110110001110⫸⊐≮⫘↔0=≮⫘↔-1111101","layer":2},{"info":"≮⫘↔10011001111⪶≀⋏≮⫘↔1101011000011=≮⫘↔-100010011011011","layer":3},{"info":"≮⫘↔1001011111010⫸⊐≮⫘↔10110000001=≮⫘↔1010110000111","layer":3},{"info":"≮⫘↔-100010011011011⪬≮⫘↔1010110000111=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔-1111101⊉≛↸≮⫘↔10011010010=≮⫘↔-10011010010","layer":1},{"info":"⊲⪭≮⫘↔-10011010010=≮⫘↔10000100100","layer":0}]}
{"id":414,"expression_no_base_symbol":"(($4030$⩹$5155$)⨟⋌⩍(⊲⪭$4078$)⩧⪆($7749$⪨≂$3106$)≚⊃≕($1104$⫌⩉⩟$7710$))⨘","expression":"((≮⫘↔111110111110⩹≮⫘↔1010000100011)⨟⋌⩍(⊲⪭≮⫘↔111111101110)⩧⪆(≮⫘↔1111001000101⪨≂≮⫘↔110000100010)≚⊃≕(≮⫘↔10001010000⫌⩉⩟≮⫘↔1111000011110))⨘","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":50985,"operation_count":8,"complexity_ratio":6373.125,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4030,"base":2},"right_expr":{"type":"numeric_atoms","value":5155,"base":2}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":4078,"base":2}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7749,"base":2},"right_expr":{"type":"numeric_atoms","value":3106,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1104,"base":2},"right_expr":{"type":"numeric_atoms","value":7710,"base":2}}}}},"used_operators":["ljcfZBUpm8","Ikt5ks8PT7","rGHVDoGpnC","2Wsdkap16l","k7HXdKtiEU","Bmrmz2XGnR","sdazOOVcIp","XIIwhv8d0m"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","eewbuw0ToL","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≮⫘↔-10011011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4030","layer":4},{"info":"number node, value=5155","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=5155, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5153","layer":3},{"info":"number node, value=4078","layer":4},{"info":"compute unary expreesion, input=4078, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4252","layer":3},{"info":"compute binary expreesion, left_input=5153, right_input=-4252, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=7749","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=7749, right_input=3106, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9388","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=7710","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=7710, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=9388, right_input=-50, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-67","layer":1},{"info":"compute unary expreesion, input=-67, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-1244","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111110111110⩹≮⫘↔1010000100011)⨟⋌⩍(⊲⪭≮⫘↔111111101110)⩧⪆(≮⫘↔1111001000101⪨≂≮⫘↔110000100010)≚⊃≕(≮⫘↔10001010000⫌⩉⩟≮⫘↔1111000011110))⨘=≮⫘↔-10011011100","reverse_text":"≮⫘↔-10011011100=((≮⫘↔111110111110⩹≮⫘↔1010000100011)⨟⋌⩍(⊲⪭≮⫘↔111111101110)⩧⪆(≮⫘↔1111001000101⪨≂≮⫘↔110000100010)≚⊃≕(≮⫘↔10001010000⫌⩉⩟≮⫘↔1111000011110))⨘","cot":[{"info":"≮⫘↔111110111110⩹≮⫘↔1010000100011=≮⫘↔1010000100001","layer":3},{"info":"⊲⪭≮⫘↔111111101110=≮⫘↔-1000010011100","layer":3},{"info":"≮⫘↔1010000100001⨟⋌⩍≮⫘↔-1000010011100=NaN","layer":2},{"info":"≮⫘↔1111001000101⪨≂≮⫘↔110000100010=≮⫘↔10010010101100","layer":3},{"info":"≮⫘↔10001010000⫌⩉⩟≮⫘↔1111000011110=≮⫘↔-110010","layer":3},{"info":"≮⫘↔10010010101100≚⊃≕≮⫘↔-110010=≮⫘↔1000011","layer":2},{"info":"NaN⩧⪆≮⫘↔1000011=≮⫘↔-1000011","layer":1},{"info":"≮⫘↔-1000011⨘=≮⫘↔-10011011100","layer":0}]}
{"id":415,"expression_no_base_symbol":"(⫟($3141$⇴∐$1194$)⋕⪉⪜(+⊝⨔$6629$))↼⊘⨖((($5267$⋷$1073$)↺($4970$⊾⪯⋞$3043$))⨻⩈⩔(⇖⫷⫕$1367$)∛($1270$⩅⪻⪻))","expression":"(⫟(≮⫘↔110001000101⇴∐≮⫘↔10010101010)⋕⪉⪜(+⊝⨔≮⫘↔1100111100101))↼⊘⨖(((≮⫘↔1010010010011⋷≮⫘↔10000110001)↺(≮⫘↔1001101101010⊾⪯⋞≮⫘↔101111100011))⨻⩈⩔(⇖⫷⫕≮⫘↔10101010111)∛(≮⫘↔10011110110⩅⪻⪻))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1198,"operation_count":12,"complexity_ratio":99.83333333333333,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3141,"base":2},"right_expr":{"type":"numeric_atoms","value":1194,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6629,"base":2}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5267,"base":2},"right_expr":{"type":"numeric_atoms","value":1073,"base":2}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4970,"base":2},"right_expr":{"type":"numeric_atoms","value":3043,"base":2}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1367,"base":2}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1270,"base":2}}}}},"used_operators":["bPywburJMS","z4E1FaHLuy","z6LnFrNh4i","HnzytWxmAO","DhbWaqg5eL","nEsXyWgiOK","7j4O788W3g","23Mk6UjR3U","HK0tfVPux8","w2537kitQq","UHmRx3INFg","kHoXpA7yos"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"≮⫘↔10001111101000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3141","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=1194, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=6629","layer":4},{"info":"compute unary expreesion, input=6629, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=295","layer":1},{"info":"number node, value=5267","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=5267, right_input=1073, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3121","layer":3},{"info":"number node, value=4970","layer":4},{"info":"number node, value=3043","layer":4},{"info":"compute binary expreesion, left_input=4970, right_input=3043, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5660","layer":3},{"info":"compute binary expreesion, left_input=-3121, right_input=5660, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5660","layer":2},{"info":"number node, value=1367","layer":4},{"info":"compute unary expreesion, input=1367, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-187385","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-187385, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=5660, right_input=67, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=36879","layer":1},{"info":"compute binary expreesion, left_input=295, right_input=36879, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=73536","layer":0}],"base":2,"result_base":2,"text":"(⫟(≮⫘↔110001000101⇴∐≮⫘↔10010101010)⋕⪉⪜(+⊝⨔≮⫘↔1100111100101))↼⊘⨖(((≮⫘↔1010010010011⋷≮⫘↔10000110001)↺(≮⫘↔1001101101010⊾⪯⋞≮⫘↔101111100011))⨻⩈⩔(⇖⫷⫕≮⫘↔10101010111)∛(≮⫘↔10011110110⩅⪻⪻))=≮⫘↔10001111101000000","reverse_text":"≮⫘↔10001111101000000=(⫟(≮⫘↔110001000101⇴∐≮⫘↔10010101010)⋕⪉⪜(+⊝⨔≮⫘↔1100111100101))↼⊘⨖(((≮⫘↔1010010010011⋷≮⫘↔10000110001)↺(≮⫘↔1001101101010⊾⪯⋞≮⫘↔101111100011))⨻⩈⩔(⇖⫷⫕≮⫘↔10101010111)∛(≮⫘↔10011110110⩅⪻⪻))","cot":[{"info":"≮⫘↔110001000101⇴∐≮⫘↔10010101010=NaN","layer":3},{"info":"+⊝⨔≮⫘↔1100111100101=≮⫘↔10111110010","layer":3},{"info":"NaN⋕⪉⪜≮⫘↔10111110010=≮⫘↔11001100","layer":2},{"info":"⫟≮⫘↔11001100=≮⫘↔100100111","layer":1},{"info":"≮⫘↔1010010010011⋷≮⫘↔10000110001=≮⫘↔-110000110001","layer":3},{"info":"≮⫘↔1001101101010⊾⪯⋞≮⫘↔101111100011=≮⫘↔1011000011100","layer":3},{"info":"≮⫘↔-110000110001↺≮⫘↔1011000011100=≮⫘↔1011000011100","layer":2},{"info":"⇖⫷⫕≮⫘↔10101010111=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔10011110110⩅⪻⪻=≮⫘↔-101101101111111001","layer":3},{"info":"≮⫘↔101100000110∛≮⫘↔-101101101111111001=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1011000011100⨻⩈⩔≮⫘↔1000011=≮⫘↔1001000000001111","layer":1},{"info":"≮⫘↔100100111↼⊘⨖≮⫘↔1001000000001111=≮⫘↔10001111101000000","layer":0}]}
{"id":416,"expression_no_base_symbol":"∨∊⋏((($1097$∘$5298$)⪚⩙≫)⇴($1656$∘$4833$∟))","expression":"∨∊⋏(((≮⫘↔10001001001∘≮⫘↔1010010110010)⪚⩙≫)⇴(≮⫘↔11001111000∘≮⫘↔1001011100001∟))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":144,"operation_count":6,"complexity_ratio":24.0,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1097,"base":2},"right_expr":{"type":"numeric_atoms","value":5298,"base":2}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1656,"base":2},"right_expr":{"type":"numeric_atoms","value":4833,"base":2}}}}},"used_operators":["R5aXW34M0v","4JB6nKBMSY","4n53wtyJvv","Z5m6OM72h2","hTbEZDJLEm"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","sdazOOVcIp","NTOWxs364D","COABgblf1C","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","eH2TOUuTDT","rysDP5nf3Z","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"number node, value=5298","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=5298, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2194","layer":3},{"info":"compute unary expreesion, input=2194, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"number node, value=1656","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=4833, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3312","layer":3},{"info":"compute unary expreesion, input=3312, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∨∊⋏(((≮⫘↔10001001001∘≮⫘↔1010010110010)⪚⩙≫)⇴(≮⫘↔11001111000∘≮⫘↔1001011100001∟))=NaN","reverse_text":"NaN=∨∊⋏(((≮⫘↔10001001001∘≮⫘↔1010010110010)⪚⩙≫)⇴(≮⫘↔11001111000∘≮⫘↔1001011100001∟))","cot":[{"info":"≮⫘↔10001001001∘≮⫘↔1010010110010=≮⫘↔100010010010","layer":3},{"info":"≮⫘↔100010010010⪚⩙≫=NaN","layer":2},{"info":"≮⫘↔11001111000∘≮⫘↔1001011100001=≮⫘↔110011110000","layer":3},{"info":"≮⫘↔110011110000∟=≮⫘↔1110001","layer":2},{"info":"NaN⇴≮⫘↔1110001=NaN","layer":1},{"info":"∨∊⋏NaN=NaN","layer":0}]}
{"id":417,"expression_no_base_symbol":"(⋠∜($3500$⩧⪆$4702$))⪛(($2610$⨵⪆$2984$)⊉≛↸$5465$⨻⩈⩔$1879$)⫥∨⫟((≉$3337$)⩇∃⫛($6509$⫦⪉$6175$)⪁(⊆⋠$1468$)⪪($3983$/$1344$))","expression":"(⋠∜(≮⫘↔110110101100⩧⪆≮⫘↔1001001011110))⪛((≮⫘↔101000110010⨵⪆≮⫘↔101110101000)⊉≛↸≮⫘↔1010101011001⨻⩈⩔≮⫘↔11101010111)⫥∨⫟((≉≮⫘↔110100001001)⩇∃⫛(≮⫘↔1100101101101⫦⪉≮⫘↔1100000011111)⪁(⊆⋠≮⫘↔10110111100)⪪(≮⫘↔111110001111/≮⫘↔10101000000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12026,"operation_count":14,"complexity_ratio":859.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3500,"base":2},"right_expr":{"type":"numeric_atoms","value":4702,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2610,"base":2},"right_expr":{"type":"numeric_atoms","value":2984,"base":2}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5465,"base":2},"right_expr":{"type":"numeric_atoms","value":1879,"base":2}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3337,"base":2}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6509,"base":2},"right_expr":{"type":"numeric_atoms","value":6175,"base":2}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1468,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3983,"base":2},"right_expr":{"type":"numeric_atoms","value":1344,"base":2}}}}},"used_operators":["KYD54nUTWz","uFcxV4UQCh","ZJpFhNJr3x","Ikt5ks8PT7","DZ8iAZOCBD","2DQ55sFlQl","nEsXyWgiOK","I7sXao9hZE","1aApVXNlOP","e1ybzncUwg","wscyQdcy20","xD69zh8xqp","EBhcHTkKd8","XhwjNDsVaA"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","FU0Cs4j7VP","JclMnS0uGI","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3500","layer":4},{"info":"number node, value=4702","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=4702, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4702","layer":3},{"info":"compute unary expreesion, input=-4702, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-16524","layer":2},{"info":"number node, value=2610","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=2610, right_input=2984, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5465","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=5465, right_input=1879, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=35319","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=35319, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":2},{"info":"compute binary expreesion, left_input=-16524, right_input=320, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=116","layer":1},{"info":"number node, value=3337","layer":4},{"info":"compute unary expreesion, input=3337, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3868","layer":3},{"info":"number node, value=6509","layer":4},{"info":"number node, value=6175","layer":4},{"info":"compute binary expreesion, left_input=6509, right_input=6175, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8118","layer":3},{"info":"compute binary expreesion, left_input=3868, right_input=-8118, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-11513","layer":2},{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=3983","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=1344, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-11513, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=116, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋠∜(≮⫘↔110110101100⩧⪆≮⫘↔1001001011110))⪛((≮⫘↔101000110010⨵⪆≮⫘↔101110101000)⊉≛↸≮⫘↔1010101011001⨻⩈⩔≮⫘↔11101010111)⫥∨⫟((≉≮⫘↔110100001001)⩇∃⫛(≮⫘↔1100101101101⫦⪉≮⫘↔1100000011111)⪁(⊆⋠≮⫘↔10110111100)⪪(≮⫘↔111110001111/≮⫘↔10101000000))=NaN","reverse_text":"NaN=(⋠∜(≮⫘↔110110101100⩧⪆≮⫘↔1001001011110))⪛((≮⫘↔101000110010⨵⪆≮⫘↔101110101000)⊉≛↸≮⫘↔1010101011001⨻⩈⩔≮⫘↔11101010111)⫥∨⫟((≉≮⫘↔110100001001)⩇∃⫛(≮⫘↔1100101101101⫦⪉≮⫘↔1100000011111)⪁(⊆⋠≮⫘↔10110111100)⪪(≮⫘↔111110001111/≮⫘↔10101000000))","cot":[{"info":"≮⫘↔110110101100⩧⪆≮⫘↔1001001011110=≮⫘↔-1001001011110","layer":3},{"info":"⋠∜≮⫘↔-1001001011110=≮⫘↔-100000010001100","layer":2},{"info":"≮⫘↔101000110010⨵⪆≮⫘↔101110101000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1010101011001⨻⩈⩔≮⫘↔11101010111=≮⫘↔1000100111110111","layer":3},{"info":"≮⫘↔10100000⊉≛↸≮⫘↔1000100111110111=≮⫘↔101000000","layer":2},{"info":"≮⫘↔-100000010001100⪛≮⫘↔101000000=≮⫘↔1110100","layer":1},{"info":"≉≮⫘↔110100001001=≮⫘↔111100011100","layer":3},{"info":"≮⫘↔1100101101101⫦⪉≮⫘↔1100000011111=≮⫘↔-1111110110110","layer":3},{"info":"≮⫘↔111100011100⩇∃⫛≮⫘↔-1111110110110=≮⫘↔-10110011111001","layer":2},{"info":"⊆⋠≮⫘↔10110111100=≮⫘↔0","layer":3},{"info":"≮⫘↔111110001111/≮⫘↔10101000000=≮⫘↔10","layer":3},{"info":"≮⫘↔0⪪≮⫘↔10=≮⫘↔0","layer":2},{"info":"≮⫘↔-10110011111001⪁≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1110100⫥∨⫟NaN=NaN","layer":0}]}
{"id":418,"expression_no_base_symbol":"((($5224$⨑≵⋬$2198$)⩱)≒∊(≇⪴($4770$+⇶⊼$7010$)))⊲⩕⊾($4637$⇣⩺⋵$3743$⪶≀⋏(⇙⪊$1733$))⩣⫁∢(↞≼($4441$⇀∌))","expression":"(((≮⫘↔1010001101000⨑≵⋬≮⫘↔100010010110)⩱)≒∊(≇⪴(≮⫘↔1001010100010+⇶⊼≮⫘↔1101101100010)))⊲⩕⊾(≮⫘↔1001000011101⇣⩺⋵≮⫘↔111010011111⪶≀⋏(⇙⪊≮⫘↔11011000101))⩣⫁∢(↞≼(≮⫘↔1000101011001⇀∌))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":325,"operation_count":12,"complexity_ratio":27.083333333333332,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5224,"base":2},"right_expr":{"type":"numeric_atoms","value":2198,"base":2}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4770,"base":2},"right_expr":{"type":"numeric_atoms","value":7010,"base":2}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4637,"base":2},"right_expr":{"type":"numeric_atoms","value":3743,"base":2}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1733,"base":2}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":4441,"base":2}}}}},"used_operators":["DmTXOeWf9t","5KTvxBwnZo","uyq1hVkAcj","XnXgA4xnOs","zoVPnxeHJ3","TpPTUOHfaN","JDUIKTTSIa","zR4jO40bMj","F4yD0voBRQ","pB6Fcnrjim","DE7zCoGJt9","2k53nXOpI5"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","AHs5Up7iyr","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5224","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=5224, right_input=2198, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=12113","layer":3},{"info":"compute unary expreesion, input=12113, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-72928","layer":2},{"info":"number node, value=4770","layer":4},{"info":"number node, value=7010","layer":4},{"info":"compute binary expreesion, left_input=4770, right_input=7010, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-72928, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"number node, value=4637","layer":4},{"info":"number node, value=3743","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=3743, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1733","layer":4},{"info":"compute unary expreesion, input=1733, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=0","layer":2},{"info":"number node, value=4441","layer":4},{"info":"compute unary expreesion, input=4441, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=490","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=490, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=161, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1010001101000⨑≵⋬≮⫘↔100010010110)⩱)≒∊(≇⪴(≮⫘↔1001010100010+⇶⊼≮⫘↔1101101100010)))⊲⩕⊾(≮⫘↔1001000011101⇣⩺⋵≮⫘↔111010011111⪶≀⋏(⇙⪊≮⫘↔11011000101))⩣⫁∢(↞≼(≮⫘↔1000101011001⇀∌))=NaN","reverse_text":"NaN=(((≮⫘↔1010001101000⨑≵⋬≮⫘↔100010010110)⩱)≒∊(≇⪴(≮⫘↔1001010100010+⇶⊼≮⫘↔1101101100010)))⊲⩕⊾(≮⫘↔1001000011101⇣⩺⋵≮⫘↔111010011111⪶≀⋏(⇙⪊≮⫘↔11011000101))⩣⫁∢(↞≼(≮⫘↔1000101011001⇀∌))","cot":[{"info":"≮⫘↔1010001101000⨑≵⋬≮⫘↔100010010110=≮⫘↔10111101010001","layer":3},{"info":"≮⫘↔10111101010001⩱=≮⫘↔-10001110011100000","layer":2},{"info":"≮⫘↔1001010100010+⇶⊼≮⫘↔1101101100010=NaN","layer":3},{"info":"≇⪴NaN=NaN","layer":2},{"info":"≮⫘↔-10001110011100000≒∊NaN=NaN","layer":1},{"info":"≮⫘↔1001000011101⇣⩺⋵≮⫘↔111010011111=≮⫘↔-100000100","layer":3},{"info":"⇙⪊≮⫘↔11011000101=≮⫘↔0","layer":3},{"info":"≮⫘↔-100000100⪶≀⋏≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1000101011001⇀∌=≮⫘↔1110001","layer":3},{"info":"↞≼≮⫘↔1110001=≮⫘↔111101010","layer":2},{"info":"≮⫘↔0⩣⫁∢≮⫘↔111101010=≮⫘↔10100001","layer":1},{"info":"NaN⊲⩕⊾≮⫘↔10100001=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"⨈⫕(⇨($2997$⨸⪁$4757$))⫸⇳$1209$⪍↜⋙$1058$≎⊠⪸($2661$⩅⪻⪻)","expression":"⨈⫕(⇨(≮⫘↔101110110101⨸⪁≮⫘↔1001010010101))⫸⇳≮⫘↔10010111001⪍↜⋙≮⫘↔10000100010≎⊠⪸(≮⫘↔101001100101⩅⪻⪻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":559,"operation_count":7,"complexity_ratio":79.85714285714286,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2997,"base":2},"right_expr":{"type":"numeric_atoms","value":4757,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1209,"base":2},"right_expr":{"type":"numeric_atoms","value":1058,"base":2}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":2661,"base":2}}}}},"used_operators":["megm06wKyl","gx7XJ7hdpj","G9tJMlZ94a","g55IO6H4Gj","bJkvcejdHO","L05ObWFQCd","kHoXpA7yos"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","k8jYdgA6NY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2997","layer":4},{"info":"number node, value=4757","layer":4},{"info":"compute binary expreesion, left_input=2997, right_input=4757, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15508","layer":3},{"info":"compute unary expreesion, input=15508, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1058, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=302","layer":3},{"info":"number node, value=2661","layer":4},{"info":"compute unary expreesion, input=2661, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-393253","layer":3},{"info":"compute binary expreesion, left_input=302, right_input=-393253, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕(⇨(≮⫘↔101110110101⨸⪁≮⫘↔1001010010101))⫸⇳≮⫘↔10010111001⪍↜⋙≮⫘↔10000100010≎⊠⪸(≮⫘↔101001100101⩅⪻⪻)=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕(⇨(≮⫘↔101110110101⨸⪁≮⫘↔1001010010101))⫸⇳≮⫘↔10010111001⪍↜⋙≮⫘↔10000100010≎⊠⪸(≮⫘↔101001100101⩅⪻⪻)","cot":[{"info":"≮⫘↔101110110101⨸⪁≮⫘↔1001010010101=≮⫘↔11110010010100","layer":3},{"info":"⇨≮⫘↔11110010010100=≮⫘↔0","layer":2},{"info":"≮⫘↔10010111001⪍↜⋙≮⫘↔10000100010=≮⫘↔100101110","layer":3},{"info":"≮⫘↔101001100101⩅⪻⪻=≮⫘↔-1100000000000100101","layer":3},{"info":"≮⫘↔100101110≎⊠⪸≮⫘↔-1100000000000100101=≮⫘↔1000011","layer":2},{"info":"≮⫘↔0⫸⇳≮⫘↔1000011=≮⫘↔0","layer":1},{"info":"⨈⫕≮⫘↔0=≮⫘↔-10101","layer":0}]}
{"id":420,"expression_no_base_symbol":"(⪫⨮⊛($1530$⊕∕$6747$⇉⇉))⨎($1441$↬$1029$⪕$2684$⨂≜$1149$↰)","expression":"(⪫⨮⊛(≮⫘↔10111111010⊕∕≮⫘↔1101001011011⇉⇉))⨎(≮⫘↔10110100001↬≮⫘↔10000000101⪕≮⫘↔101001111100⨂≜≮⫘↔10001111101↰)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1625364,"operation_count":8,"complexity_ratio":203170.5,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1530,"base":2},"right_expr":{"type":"numeric_atoms","value":6747,"base":2}}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1441,"base":2},"right_expr":{"type":"numeric_atoms","value":1029,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2684,"base":2},"right_expr":{"type":"numeric_atoms","value":1149,"base":2}}}}},"used_operators":["rJVOvQCfKK","w5FWba1tyO","diKm42VcIt","9cloC0Ngie","bl5wxAcryP","umQnsF7QlU","B5M0gjZbta","k1SHOSEABc"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","nCS4ZIUYfx","Z2TMIBDE3Q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rGHVDoGpnC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"≮⫘↔1101000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1530","layer":4},{"info":"number node, value=6747","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=6747, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1530","layer":3},{"info":"compute unary expreesion, input=1530, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-89296","layer":2},{"info":"compute unary expreesion, input=-89296, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"number node, value=1441","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=1029, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2684","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=1149, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute unary expreesion, input=935, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=834","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=834, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=834","layer":0}],"base":2,"result_base":2,"text":"(⪫⨮⊛(≮⫘↔10111111010⊕∕≮⫘↔1101001011011⇉⇉))⨎(≮⫘↔10110100001↬≮⫘↔10000000101⪕≮⫘↔101001111100⨂≜≮⫘↔10001111101↰)=≮⫘↔1101000010","reverse_text":"≮⫘↔1101000010=(⪫⨮⊛(≮⫘↔10111111010⊕∕≮⫘↔1101001011011⇉⇉))⨎(≮⫘↔10110100001↬≮⫘↔10000000101⪕≮⫘↔101001111100⨂≜≮⫘↔10001111101↰)","cot":[{"info":"≮⫘↔10111111010⊕∕≮⫘↔1101001011011=≮⫘↔10111111010","layer":3},{"info":"≮⫘↔10111111010⇉⇉=≮⫘↔-10101110011010000","layer":2},{"info":"⪫⨮⊛≮⫘↔-10101110011010000=NaN","layer":1},{"info":"≮⫘↔10110100001↬≮⫘↔10000000101=NaN","layer":3},{"info":"≮⫘↔101001111100⨂≜≮⫘↔10001111101=NaN","layer":3},{"info":"NaN⪕NaN=≮⫘↔1110100111","layer":2},{"info":"≮⫘↔1110100111↰=≮⫘↔1101000010","layer":1},{"info":"NaN⨎≮⫘↔1101000010=≮⫘↔1101000010","layer":0}]}
{"id":421,"expression_no_base_symbol":"((⪁⇼($2275$∐⫣))⫒⫫($1460$⇣⩺⋵$9266$)≁($4798$≚⊃≕$2991$))⪣⫩","expression":"((⪁⇼(≮⫘↔100011100011∐⫣))⫒⫫(≮⫘↔10110110100⇣⩺⋵≮⫘↔10010000110010)≁(≮⫘↔1001010111110≚⊃≕≮⫘↔101110101111))⪣⫩","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":180587,"operation_count":7,"complexity_ratio":25798.14285714286,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2275,"base":2}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1460,"base":2},"right_expr":{"type":"numeric_atoms","value":9266,"base":2}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4798,"base":2},"right_expr":{"type":"numeric_atoms","value":2991,"base":2}}}}},"used_operators":["iuk5sVOGFA","6Ko8hGgeMq","ZNVVrZ94lY","4CyGpkTkEk","8N2wDY1A35","F4yD0voBRQ","Bmrmz2XGnR"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≮⫘↔1110010001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2275","layer":4},{"info":"compute unary expreesion, input=2275, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute unary expreesion, input=551, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=1460","layer":4},{"info":"number node, value=9266","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=9266, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-12630","layer":3},{"info":"number node, value=4798","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=4798, right_input=2991, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-12630, right_input=67, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-3849","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=-3849, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":2,"result_base":2,"text":"((⪁⇼(≮⫘↔100011100011∐⫣))⫒⫫(≮⫘↔10110110100⇣⩺⋵≮⫘↔10010000110010)≁(≮⫘↔1001010111110≚⊃≕≮⫘↔101110101111))⪣⫩=≮⫘↔1110010001","reverse_text":"≮⫘↔1110010001=((⪁⇼(≮⫘↔100011100011∐⫣))⫒⫫(≮⫘↔10110110100⇣⩺⋵≮⫘↔10010000110010)≁(≮⫘↔1001010111110≚⊃≕≮⫘↔101110101111))⪣⫩","cot":[{"info":"≮⫘↔100011100011∐⫣=≮⫘↔1000100111","layer":3},{"info":"⪁⇼≮⫘↔1000100111=≮⫘↔110100110","layer":2},{"info":"≮⫘↔10110110100⇣⩺⋵≮⫘↔10010000110010=≮⫘↔-11000101010110","layer":3},{"info":"≮⫘↔1001010111110≚⊃≕≮⫘↔101110101111=≮⫘↔1000011","layer":3},{"info":"≮⫘↔-11000101010110≁≮⫘↔1000011=≮⫘↔-111100001001","layer":2},{"info":"≮⫘↔110100110⫒⫫≮⫘↔-111100001001=NaN","layer":1},{"info":"NaN⪣⫩=≮⫘↔1110010001","layer":0}]}
{"id":422,"expression_no_base_symbol":"(($8586$⩚⊴⇥$2536$)⨂≜($1305$⇻⋧≁$1622$)≝⊰⇂)⇍⊗(($2964$∲⫓$1380$)⨽($6641$⫃⨇$1967$))≎⪠(($1358$⊘)⇮⋭$6552$↬$3941$)","expression":"((≮⫘↔10000110001010⩚⊴⇥≮⫘↔100111101000)⨂≜(≮⫘↔10100011001⇻⋧≁≮⫘↔11001010110)≝⊰⇂)⇍⊗((≮⫘↔101110010100∲⫓≮⫘↔10101100100)⨽(≮⫘↔1100111110001⫃⨇≮⫘↔11110101111))≎⪠((≮⫘↔10101001110⊘)⇮⋭≮⫘↔1100110011000↬≮⫘↔111101100101)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":250532,"operation_count":12,"complexity_ratio":20877.666666666668,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8586,"base":2},"right_expr":{"type":"numeric_atoms","value":2536,"base":2}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1305,"base":2},"right_expr":{"type":"numeric_atoms","value":1622,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2964,"base":2},"right_expr":{"type":"numeric_atoms","value":1380,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":6641,"base":2},"right_expr":{"type":"numeric_atoms","value":1967,"base":2}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1358,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6552,"base":2},"right_expr":{"type":"numeric_atoms","value":3941,"base":2}}}}},"used_operators":["5uvYHDjeKN","htSmYCowi5","k1SHOSEABc","NTOWxs364D","jCPkEVoL5K","aNhz54LH3e","8HhzD0ZcuI","i8ToyICDmI","09Ly4LVMIf","vkpjKywKVM","gu96TGCTMs","B5M0gjZbta"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","DlLNRPXxWL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC"],"result":"≮⫘↔-11110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8586","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=8586, right_input=2536, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11243","layer":3},{"info":"number node, value=1305","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=1622, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-11243, right_input=-447, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=nan","layer":1},{"info":"number node, value=2964","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=1380, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6641","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=6641, right_input=1967, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7900","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7900, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=25014","layer":2},{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=6552","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=6552, right_input=3941, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=25014, right_input=67, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000110001010⩚⊴⇥≮⫘↔100111101000)⨂≜(≮⫘↔10100011001⇻⋧≁≮⫘↔11001010110)≝⊰⇂)⇍⊗((≮⫘↔101110010100∲⫓≮⫘↔10101100100)⨽(≮⫘↔1100111110001⫃⨇≮⫘↔11110101111))≎⪠((≮⫘↔10101001110⊘)⇮⋭≮⫘↔1100110011000↬≮⫘↔111101100101)=≮⫘↔-11110100","reverse_text":"≮⫘↔-11110100=((≮⫘↔10000110001010⩚⊴⇥≮⫘↔100111101000)⨂≜(≮⫘↔10100011001⇻⋧≁≮⫘↔11001010110)≝⊰⇂)⇍⊗((≮⫘↔101110010100∲⫓≮⫘↔10101100100)⨽(≮⫘↔1100111110001⫃⨇≮⫘↔11110101111))≎⪠((≮⫘↔10101001110⊘)⇮⋭≮⫘↔1100110011000↬≮⫘↔111101100101)","cot":[{"info":"≮⫘↔10000110001010⩚⊴⇥≮⫘↔100111101000=≮⫘↔-10101111101011","layer":3},{"info":"≮⫘↔10100011001⇻⋧≁≮⫘↔11001010110=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-10101111101011⨂≜≮⫘↔-110111111=NaN","layer":2},{"info":"NaN≝⊰⇂=NaN","layer":1},{"info":"≮⫘↔101110010100∲⫓≮⫘↔10101100100=≮⫘↔0","layer":3},{"info":"≮⫘↔1100111110001⫃⨇≮⫘↔11110101111=≮⫘↔-1111011011100","layer":3},{"info":"≮⫘↔0⨽≮⫘↔-1111011011100=≮⫘↔110000110110110","layer":2},{"info":"≮⫘↔10101001110⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔1100110011000↬≮⫘↔111101100101=NaN","layer":3},{"info":"≮⫘↔0⇮⋭NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔110000110110110≎⪠≮⫘↔1000011=≮⫘↔100110001100110","layer":1},{"info":"NaN⇍⊗≮⫘↔100110001100110=≮⫘↔-11110100","layer":0}]}
{"id":423,"expression_no_base_symbol":"↥(($6745$⩘$3450$↼⊘⨖($7038$⇴$7260$))⪣⫩)","expression":"↥((≮⫘↔1101001011001⩘≮⫘↔110101111010↼⊘⨖(≮⫘↔1101101111110⇴≮⫘↔1110001011100))⪣⫩)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6741,"operation_count":5,"complexity_ratio":1348.2,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":6745,"base":2},"right_expr":{"type":"numeric_atoms","value":3450,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":7038,"base":2},"right_expr":{"type":"numeric_atoms","value":7260,"base":2}}}}},"used_operators":["A8NUZmVepG","iuk5sVOGFA","bPywburJMS","cHh1gJQ2o6","4JB6nKBMSY"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"≮⫘↔110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6745","layer":4},{"info":"number node, value=3450","layer":4},{"info":"compute binary expreesion, left_input=6745, right_input=3450, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=7038","layer":4},{"info":"number node, value=7260","layer":4},{"info":"compute binary expreesion, left_input=7038, right_input=7260, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=56362","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=56362, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=112502","layer":2},{"info":"compute unary expreesion, input=112502, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=337473","layer":1},{"info":"compute unary expreesion, input=337473, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":0}],"base":2,"result_base":2,"text":"↥((≮⫘↔1101001011001⩘≮⫘↔110101111010↼⊘⨖(≮⫘↔1101101111110⇴≮⫘↔1110001011100))⪣⫩)=≮⫘↔110","reverse_text":"≮⫘↔110=↥((≮⫘↔1101001011001⩘≮⫘↔110101111010↼⊘⨖(≮⫘↔1101101111110⇴≮⫘↔1110001011100))⪣⫩)","cot":[{"info":"≮⫘↔1101001011001⩘≮⫘↔110101111010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1101101111110⇴≮⫘↔1110001011100=≮⫘↔1101110000101010","layer":3},{"info":"≮⫘↔10100000↼⊘⨖≮⫘↔1101110000101010=≮⫘↔11011011101110110","layer":2},{"info":"≮⫘↔11011011101110110⪣⫩=≮⫘↔1010010011001000001","layer":1},{"info":"↥≮⫘↔1010010011001000001=≮⫘↔110","layer":0}]}
{"id":424,"expression_no_base_symbol":"($4607$⪨⊡$4804$⨐⩸⫘$5417$⇍⊗$1002$∕⩚(⊖$1847$)∑⇟⊟($1390$↱$1260$))⨿(≦∁$3706$∑⇟⊟$2964$⩷∴(⇨$4945$))","expression":"(≮⫘↔1000111111111⪨⊡≮⫘↔1001011000100⨐⩸⫘≮⫘↔1010100101001⇍⊗≮⫘↔1111101010∕⩚(⊖≮⫘↔11100110111)∑⇟⊟(≮⫘↔10101101110↱≮⫘↔10011101100))⨿(≦∁≮⫘↔111001111010∑⇟⊟≮⫘↔101110010100⩷∴(⇨≮⫘↔1001101010001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":63434,"operation_count":12,"complexity_ratio":5286.166666666667,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4607,"base":2},"right_expr":{"type":"numeric_atoms","value":4804,"base":2}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5417,"base":2},"right_expr":{"type":"numeric_atoms","value":1002,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1847,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":1260,"base":2}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3706,"base":2},"right_expr":{"type":"numeric_atoms","value":2964,"base":2}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4945,"base":2}}}}},"used_operators":["abYXlopdE0","z9ffQ9n5Zr","fu6greOZ01","kuIXHzHcAH","5uvYHDjeKN","U7g4x0WXJJ","U6pG0PXrV3","SR5kFfdi6N","9ICcGScMcE","9FxExcQeMw","G9tJMlZ94a"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","3ViojmjbAp","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","k8jYdgA6NY"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4607","layer":4},{"info":"number node, value=4804","layer":4},{"info":"compute binary expreesion, left_input=4607, right_input=4804, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5417","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=5417, right_input=1002, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-244, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-241","layer":2},{"info":"number node, value=1847","layer":4},{"info":"compute unary expreesion, input=1847, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1260, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3258","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3258, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-241, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=3706","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=3706, right_input=2964, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4945","layer":4},{"info":"compute unary expreesion, input=4945, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000111111111⪨⊡≮⫘↔1001011000100⨐⩸⫘≮⫘↔1010100101001⇍⊗≮⫘↔1111101010∕⩚(⊖≮⫘↔11100110111)∑⇟⊟(≮⫘↔10101101110↱≮⫘↔10011101100))⨿(≦∁≮⫘↔111001111010∑⇟⊟≮⫘↔101110010100⩷∴(⇨≮⫘↔1001101010001))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(≮⫘↔1000111111111⪨⊡≮⫘↔1001011000100⨐⩸⫘≮⫘↔1010100101001⇍⊗≮⫘↔1111101010∕⩚(⊖≮⫘↔11100110111)∑⇟⊟(≮⫘↔10101101110↱≮⫘↔10011101100))⨿(≦∁≮⫘↔111001111010∑⇟⊟≮⫘↔101110010100⩷∴(⇨≮⫘↔1001101010001))","cot":[{"info":"≮⫘↔1000111111111⪨⊡≮⫘↔1001011000100=≮⫘↔0","layer":3},{"info":"≮⫘↔1010100101001⇍⊗≮⫘↔1111101010=≮⫘↔-11110100","layer":3},{"info":"≮⫘↔0⨐⩸⫘≮⫘↔-11110100=≮⫘↔-11110001","layer":2},{"info":"⊖≮⫘↔11100110111=≮⫘↔0","layer":3},{"info":"≮⫘↔10101101110↱≮⫘↔10011101100=≮⫘↔-110010111010","layer":3},{"info":"≮⫘↔0∑⇟⊟≮⫘↔-110010111010=NaN","layer":2},{"info":"≮⫘↔-11110001∕⩚NaN=≮⫘↔-111100111","layer":1},{"info":"≮⫘↔111001111010∑⇟⊟≮⫘↔101110010100=NaN","layer":3},{"info":"⇨≮⫘↔1001101010001=≮⫘↔0","layer":3},{"info":"NaN⩷∴≮⫘↔0=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"≮⫘↔-111100111⨿NaN=≮⫘↔1000011","layer":0}]}
{"id":425,"expression_no_base_symbol":"((⨣⨃⇪$2095$)⪇≇⋚(⇜⊴$1809$)⨁⊸⫻)⫁⪎(($3081$⪟⇏$4459$⋅⇍$2581$⩇∃⫛$6165$)≃⋄)","expression":"((⨣⨃⇪≮⫘↔100000101111)⪇≇⋚(⇜⊴≮⫘↔11100010001)⨁⊸⫻)⫁⪎((≮⫘↔110000001001⪟⇏≮⫘↔1000101101011⋅⇍≮⫘↔101000010101⩇∃⫛≮⫘↔1100000010101)≃⋄)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":190,"operation_count":9,"complexity_ratio":21.11111111111111,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":2095,"base":2}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1809,"base":2}}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3081,"base":2},"right_expr":{"type":"numeric_atoms","value":4459,"base":2}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2581,"base":2},"right_expr":{"type":"numeric_atoms","value":6165,"base":2}}}}},"used_operators":["xRrnTEsQ6j","glklzrTFfD","3sJ7IOPOlU","AcOhelriW5","XwDhCwWbUn","aN9a90urxU","AdZkA7nFnk","GODebY97qR","1aApVXNlOP"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","uFcxV4UQCh","jLgFTUHLKL","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"≮⫘↔-1001101111100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2095","layer":4},{"info":"compute unary expreesion, input=2095, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1809","layer":4},{"info":"compute unary expreesion, input=1809, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-413210","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=-413210, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":1},{"info":"number node, value=3081","layer":4},{"info":"number node, value=4459","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=4459, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2581","layer":4},{"info":"number node, value=6165","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=6165, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=4057","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=4057, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=4988","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4988, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-4988","layer":0}],"base":2,"result_base":2,"text":"((⨣⨃⇪≮⫘↔100000101111)⪇≇⋚(⇜⊴≮⫘↔11100010001)⨁⊸⫻)⫁⪎((≮⫘↔110000001001⪟⇏≮⫘↔1000101101011⋅⇍≮⫘↔101000010101⩇∃⫛≮⫘↔1100000010101)≃⋄)=≮⫘↔-1001101111100","reverse_text":"≮⫘↔-1001101111100=((⨣⨃⇪≮⫘↔100000101111)⪇≇⋚(⇜⊴≮⫘↔11100010001)⨁⊸⫻)⫁⪎((≮⫘↔110000001001⪟⇏≮⫘↔1000101101011⋅⇍≮⫘↔101000010101⩇∃⫛≮⫘↔1100000010101)≃⋄)","cot":[{"info":"⨣⨃⇪≮⫘↔100000101111=≮⫘↔10101111101","layer":3},{"info":"⇜⊴≮⫘↔11100010001=≮⫘↔-1100100111000011010","layer":3},{"info":"≮⫘↔10101111101⪇≇⋚≮⫘↔-1100100111000011010=≮⫘↔0","layer":2},{"info":"≮⫘↔0⨁⊸⫻=≮⫘↔0","layer":1},{"info":"≮⫘↔110000001001⪟⇏≮⫘↔1000101101011=≮⫘↔-1","layer":3},{"info":"≮⫘↔101000010101⩇∃⫛≮⫘↔1100000010101=≮⫘↔111111011001","layer":3},{"info":"≮⫘↔-1⋅⇍≮⫘↔111111011001=≮⫘↔-10110","layer":2},{"info":"≮⫘↔-10110≃⋄=≮⫘↔1001101111100","layer":1},{"info":"≮⫘↔0⫁⪎≮⫘↔1001101111100=≮⫘↔-1001101111100","layer":0}]}
{"id":426,"expression_no_base_symbol":"⇋⊎⋝((($1654$⨝⩣∺)⪄(∓$6428$))⨎((⇠$1936$)⫃⨇$1093$⊕∕$4048$))","expression":"⇋⊎⋝(((≮⫘↔11001110110⨝⩣∺)⪄(∓≮⫘↔1100100011100))⨎((⇠≮⫘↔11110010000)⫃⨇≮⫘↔10001000101⊕∕≮⫘↔111111010000))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4542,"operation_count":8,"complexity_ratio":567.75,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1654,"base":2}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":6428,"base":2}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1936,"base":2}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1093,"base":2},"right_expr":{"type":"numeric_atoms","value":4048,"base":2}}}}},"used_operators":["CzM2PEoXns","rJVOvQCfKK","SUmda5xLS4","ancx8kZcWl","OwUj7dcsQK","09Ly4LVMIf","18saOjeKKm","9cloC0Ngie"],"dependent_operators":["dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1654","layer":4},{"info":"compute unary expreesion, input=1654, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-3308","layer":3},{"info":"number node, value=6428","layer":4},{"info":"compute unary expreesion, input=6428, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-101292","layer":3},{"info":"compute binary expreesion, left_input=-3308, right_input=-101292, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1694","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=4048","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=4048, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1093","layer":3},{"info":"compute binary expreesion, left_input=-1694, right_input=1093, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4404","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-4404, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4404","layer":1},{"info":"compute unary expreesion, input=-4404, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇋⊎⋝(((≮⫘↔11001110110⨝⩣∺)⪄(∓≮⫘↔1100100011100))⨎((⇠≮⫘↔11110010000)⫃⨇≮⫘↔10001000101⊕∕≮⫘↔111111010000))=NaN","reverse_text":"NaN=⇋⊎⋝(((≮⫘↔11001110110⨝⩣∺)⪄(∓≮⫘↔1100100011100))⨎((⇠≮⫘↔11110010000)⫃⨇≮⫘↔10001000101⊕∕≮⫘↔111111010000))","cot":[{"info":"≮⫘↔11001110110⨝⩣∺=≮⫘↔-110011101100","layer":3},{"info":"∓≮⫘↔1100100011100=≮⫘↔-11000101110101100","layer":3},{"info":"≮⫘↔-110011101100⪄≮⫘↔-11000101110101100=≮⫘↔111110001011","layer":2},{"info":"⇠≮⫘↔11110010000=≮⫘↔-11010011110","layer":3},{"info":"≮⫘↔10001000101⊕∕≮⫘↔111111010000=≮⫘↔10001000101","layer":3},{"info":"≮⫘↔-11010011110⫃⨇≮⫘↔10001000101=≮⫘↔-1000100110100","layer":2},{"info":"≮⫘↔111110001011⨎≮⫘↔-1000100110100=≮⫘↔-1000100110100","layer":1},{"info":"⇋⊎⋝≮⫘↔-1000100110100=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"(($1347$⩺⪪$1049$)⨫⇇↔($1395$∑⇟⊟$2108$))⫉⨲⊜($2930$≳⇉$9284$⊠≄⫣)⩹$1118$↓$3904$≹⇙⪍($6256$⪭$8484$)≀⩗∶(⋼∭⪍$2655$)⊔$1233$⨪↰⇹$1514$","expression":"((≮⫘↔10101000011⩺⪪≮⫘↔10000011001)⨫⇇↔(≮⫘↔10101110011∑⇟⊟≮⫘↔100000111100))⫉⨲⊜(≮⫘↔101101110010≳⇉≮⫘↔10010001000100⊠≄⫣)⩹≮⫘↔10001011110↓≮⫘↔111101000000≹⇙⪍(≮⫘↔1100001110000⪭≮⫘↔10000100100100)≀⩗∶(⋼∭⪍≮⫘↔101001011111)⊔≮⫘↔10011010001⨪↰⇹≮⫘↔10111101010","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":76799,"operation_count":14,"complexity_ratio":5485.642857142857,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1347,"base":2},"right_expr":{"type":"numeric_atoms","value":1049,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1395,"base":2},"right_expr":{"type":"numeric_atoms","value":2108,"base":2}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2930,"base":2},"right_expr":{"type":"numeric_atoms","value":9284,"base":2}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1118,"base":2},"right_expr":{"type":"numeric_atoms","value":3904,"base":2}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6256,"base":2},"right_expr":{"type":"numeric_atoms","value":8484,"base":2}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":2655,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1233,"base":2},"right_expr":{"type":"numeric_atoms","value":1514,"base":2}}}}},"used_operators":["2Wsdkap16l","WhqkvtTD3t","LXhwmt4mBO","uvdQJvN4PV","U7g4x0WXJJ","DIvbN7qnHd","V0kx6qeWkN","8INZBEW696","AHs5Up7iyr","Af076pWI7l","j9kHMeSvPp","E4l6HwMY31","DbCuESL50I","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","dWAJyo7jo9","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1347","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1049, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-5666","layer":3},{"info":"number node, value=1395","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=2108, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5666, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=2930","layer":4},{"info":"number node, value=9284","layer":4},{"info":"compute binary expreesion, left_input=2930, right_input=9284, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=2838844","layer":1},{"info":"number node, value=1118","layer":4},{"info":"number node, value=3904","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=3904, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=6256","layer":4},{"info":"number node, value=8484","layer":4},{"info":"compute binary expreesion, left_input=6256, right_input=8484, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=5, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2655","layer":4},{"info":"compute unary expreesion, input=2655, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-8880","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=1514, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1233","layer":3},{"info":"compute binary expreesion, left_input=-8880, right_input=1233, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=37509","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=37509, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2838844, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101000011⩺⪪≮⫘↔10000011001)⨫⇇↔(≮⫘↔10101110011∑⇟⊟≮⫘↔100000111100))⫉⨲⊜(≮⫘↔101101110010≳⇉≮⫘↔10010001000100⊠≄⫣)⩹≮⫘↔10001011110↓≮⫘↔111101000000≹⇙⪍(≮⫘↔1100001110000⪭≮⫘↔10000100100100)≀⩗∶(⋼∭⪍≮⫘↔101001011111)⊔≮⫘↔10011010001⨪↰⇹≮⫘↔10111101010=NaN","reverse_text":"NaN=((≮⫘↔10101000011⩺⪪≮⫘↔10000011001)⨫⇇↔(≮⫘↔10101110011∑⇟⊟≮⫘↔100000111100))⫉⨲⊜(≮⫘↔101101110010≳⇉≮⫘↔10010001000100⊠≄⫣)⩹≮⫘↔10001011110↓≮⫘↔111101000000≹⇙⪍(≮⫘↔1100001110000⪭≮⫘↔10000100100100)≀⩗∶(⋼∭⪍≮⫘↔101001011111)⊔≮⫘↔10011010001⨪↰⇹≮⫘↔10111101010","cot":[{"info":"≮⫘↔10101000011⩺⪪≮⫘↔10000011001=≮⫘↔-1011000100010","layer":3},{"info":"≮⫘↔10101110011∑⇟⊟≮⫘↔100000111100=NaN","layer":3},{"info":"≮⫘↔-1011000100010⨫⇇↔NaN=≮⫘↔-1000001111","layer":2},{"info":"≮⫘↔101101110010≳⇉≮⫘↔10010001000100=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"≮⫘↔-1000001111⫉⨲⊜NaN=≮⫘↔1010110101000100111100","layer":1},{"info":"≮⫘↔10001011110↓≮⫘↔111101000000=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔1100001110000⪭≮⫘↔10000100100100=≮⫘↔101","layer":3},{"info":"≮⫘↔-10000110≹⇙⪍≮⫘↔101=NaN","layer":2},{"info":"⋼∭⪍≮⫘↔101001011111=≮⫘↔-10001010110000","layer":3},{"info":"≮⫘↔10011010001⨪↰⇹≮⫘↔10111101010=≮⫘↔10011010001","layer":3},{"info":"≮⫘↔-10001010110000⊔≮⫘↔10011010001=≮⫘↔1001001010000101","layer":2},{"info":"NaN≀⩗∶≮⫘↔1001001010000101=NaN","layer":1},{"info":"≮⫘↔1010110101000100111100⩹NaN=NaN","layer":0}]}
{"id":428,"expression_no_base_symbol":"(($1339$⫭)≬⇓$2594$⋹⋡⊁$1206$)⪍↜⋙$2011$⪝$3103$⋣⋖($7752$+$5684$)⫔⩽⩺(($1104$⪚$3685$)⨑⩅≇$3621$⨂≜$5516$∈)","expression":"((≮⫘↔10100111011⫭)≬⇓≮⫘↔101000100010⋹⋡⊁≮⫘↔10010110110)⪍↜⋙≮⫘↔11111011011⪝≮⫘↔110000011111⋣⋖(≮⫘↔1111001001000+≮⫘↔1011000110100)⫔⩽⩺((≮⫘↔10001010000⪚≮⫘↔111001100101)⨑⩅≇≮⫘↔111000100101⨂≜≮⫘↔1010110001100∈)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":66811,"operation_count":12,"complexity_ratio":5567.583333333333,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1339,"base":2}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2594,"base":2},"right_expr":{"type":"numeric_atoms","value":1206,"base":2}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2011,"base":2},"right_expr":{"type":"numeric_atoms","value":3103,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7752,"base":2},"right_expr":{"type":"numeric_atoms","value":5684,"base":2}}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1104,"base":2},"right_expr":{"type":"numeric_atoms","value":3685,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3621,"base":2},"right_expr":{"type":"numeric_atoms","value":5516,"base":2}}}}},"used_operators":["i9eR4S00cU","L05ObWFQCd","jWTQ2TZYIH","t4WUHVGj7f","As8RqfVLgs","J0M6qkBnIM","wicAB68Tmb","W4YGzv6Whe","ztP7wcbY7m","h92wMvzauj","HrjLwUk87U","k1SHOSEABc"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=4258","layer":3},{"info":"number node, value=2594","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=1206, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1956","layer":3},{"info":"compute binary expreesion, left_input=4258, right_input=1956, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=2011","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=3103, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=7752","layer":4},{"info":"number node, value=5684","layer":4},{"info":"compute binary expreesion, left_input=7752, right_input=5684, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13436","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=13436, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=237","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=237, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-1147","layer":1},{"info":"number node, value=1104","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=3685, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5518","layer":3},{"info":"number node, value=3621","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=5516, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5518, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute unary expreesion, input=935, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=2134","layer":1},{"info":"compute binary expreesion, left_input=-1147, right_input=2134, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100111011⫭)≬⇓≮⫘↔101000100010⋹⋡⊁≮⫘↔10010110110)⪍↜⋙≮⫘↔11111011011⪝≮⫘↔110000011111⋣⋖(≮⫘↔1111001001000+≮⫘↔1011000110100)⫔⩽⩺((≮⫘↔10001010000⪚≮⫘↔111001100101)⨑⩅≇≮⫘↔111000100101⨂≜≮⫘↔1010110001100∈)=NaN","reverse_text":"NaN=((≮⫘↔10100111011⫭)≬⇓≮⫘↔101000100010⋹⋡⊁≮⫘↔10010110110)⪍↜⋙≮⫘↔11111011011⪝≮⫘↔110000011111⋣⋖(≮⫘↔1111001001000+≮⫘↔1011000110100)⫔⩽⩺((≮⫘↔10001010000⪚≮⫘↔111001100101)⨑⩅≇≮⫘↔111000100101⨂≜≮⫘↔1010110001100∈)","cot":[{"info":"≮⫘↔10100111011⫭=≮⫘↔1000010100010","layer":3},{"info":"≮⫘↔101000100010⋹⋡⊁≮⫘↔10010110110=≮⫘↔11110100100","layer":3},{"info":"≮⫘↔1000010100010≬⇓≮⫘↔11110100100=≮⫘↔-10110","layer":2},{"info":"≮⫘↔11111011011⪝≮⫘↔110000011111=≮⫘↔11101101","layer":3},{"info":"≮⫘↔1111001001000+≮⫘↔1011000110100=≮⫘↔11010001111100","layer":3},{"info":"≮⫘↔11101101⋣⋖≮⫘↔11010001111100=≮⫘↔11101101","layer":2},{"info":"≮⫘↔-10110⪍↜⋙≮⫘↔11101101=≮⫘↔-10001111011","layer":1},{"info":"≮⫘↔10001010000⪚≮⫘↔111001100101=≮⫘↔-1010110001110","layer":3},{"info":"≮⫘↔111000100101⨂≜≮⫘↔1010110001100=NaN","layer":3},{"info":"≮⫘↔-1010110001110⨑⩅≇NaN=≮⫘↔1110100111","layer":2},{"info":"≮⫘↔1110100111∈=≮⫘↔100001010110","layer":1},{"info":"≮⫘↔-10001111011⫔⩽⩺≮⫘↔100001010110=NaN","layer":0}]}
{"id":429,"expression_no_base_symbol":"-((∓⪦($2999$⩨$1042$))⇞)","expression":"-((∓⪦(≮⫘↔101110110111⩨≮⫘↔10000010010))⇞)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":44,"operation_count":4,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2999,"base":2},"right_expr":{"type":"numeric_atoms","value":1042,"base":2}}}}},"used_operators":["t8gj7n24qd","5JYyxRJd4f","D309nIvmXG","2DlMacCsIx"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≮⫘↔1000011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2999","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=2999, right_input=1042, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2119","layer":2},{"info":"compute unary expreesion, input=-2119, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":1},{"info":"compute unary expreesion, input=-537, op_id = t8gj7n24qd, unary_op_definition = 'None', output=537","layer":0}],"base":2,"result_base":2,"text":"-((∓⪦(≮⫘↔101110110111⩨≮⫘↔10000010010))⇞)=≮⫘↔1000011001","reverse_text":"≮⫘↔1000011001=-((∓⪦(≮⫘↔101110110111⩨≮⫘↔10000010010))⇞)","cot":[{"info":"≮⫘↔101110110111⩨≮⫘↔10000010010=≮⫘↔0","layer":3},{"info":"∓⪦≮⫘↔0=≮⫘↔-100001000111","layer":2},{"info":"≮⫘↔-100001000111⇞=≮⫘↔-1000011001","layer":1},{"info":"-≮⫘↔-1000011001=≮⫘↔1000011001","layer":0}]}
{"id":430,"expression_no_base_symbol":"(⇋⊎⋝(($8559$∑⇟⊟$4547$)∥⊢⊲(⋠∜$8769$)))⇡","expression":"(⇋⊎⋝((≮⫘↔10000101101111∑⇟⊟≮⫘↔1000111000011)∥⊢⊲(⋠∜≮⫘↔10001001000001)))⇡","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":37455,"operation_count":5,"complexity_ratio":7491.0,"tree":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8559,"base":2},"right_expr":{"type":"numeric_atoms","value":4547,"base":2}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":8769,"base":2}}}}},"used_operators":["UqFzSgLMvQ","CzM2PEoXns","v1UQAVDJRr","U7g4x0WXJJ","ZJpFhNJr3x"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","dWAJyo7jo9","EBcxylXtPf","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8559","layer":4},{"info":"number node, value=4547","layer":4},{"info":"compute binary expreesion, left_input=8559, right_input=4547, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=8769","layer":4},{"info":"compute unary expreesion, input=8769, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=37360","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=37360, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=37360","layer":2},{"info":"compute unary expreesion, input=37360, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇋⊎⋝((≮⫘↔10000101101111∑⇟⊟≮⫘↔1000111000011)∥⊢⊲(⋠∜≮⫘↔10001001000001)))⇡=NaN","reverse_text":"NaN=(⇋⊎⋝((≮⫘↔10000101101111∑⇟⊟≮⫘↔1000111000011)∥⊢⊲(⋠∜≮⫘↔10001001000001)))⇡","cot":[{"info":"≮⫘↔10000101101111∑⇟⊟≮⫘↔1000111000011=NaN","layer":3},{"info":"⋠∜≮⫘↔10001001000001=≮⫘↔1001000111110000","layer":3},{"info":"NaN∥⊢⊲≮⫘↔1001000111110000=≮⫘↔1001000111110000","layer":2},{"info":"⇋⊎⋝≮⫘↔1001000111110000=NaN","layer":1},{"info":"NaN⇡=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"(($4252$⨐⩸⫘$2457$)⪶≀⋏($5373$⫚↹⊑$5882$)*(∥⊫$2741$⋳⪒$1070$))∸","expression":"((≮⫘↔1000010011100⨐⩸⫘≮⫘↔100110011001)⪶≀⋏(≮⫘↔1010011111101⫚↹⊑≮⫘↔1011011111010)*(∥⊫≮⫘↔101010110101⋳⪒≮⫘↔10000101110))∸","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":215,"operation_count":7,"complexity_ratio":30.714285714285715,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4252,"base":2},"right_expr":{"type":"numeric_atoms","value":2457,"base":2}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5373,"base":2},"right_expr":{"type":"numeric_atoms","value":5882,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2741,"base":2},"right_expr":{"type":"numeric_atoms","value":1070,"base":2}}}}},"used_operators":["o20kRiQErp","9HNa5Wba9A","zR4jO40bMj","fu6greOZ01","dfKe02y8D2","P8v4zCKN1o","12rbrZMWeM"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","3ViojmjbAp","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4252","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=4252, right_input=2457, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5373","layer":4},{"info":"number node, value=5882","layer":4},{"info":"compute binary expreesion, left_input=5373, right_input=5882, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"number node, value=2741","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=1070, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4125","layer":3},{"info":"compute unary expreesion, input=4125, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4993","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4993, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000010011100⨐⩸⫘≮⫘↔100110011001)⪶≀⋏(≮⫘↔1010011111101⫚↹⊑≮⫘↔1011011111010)*(∥⊫≮⫘↔101010110101⋳⪒≮⫘↔10000101110))∸=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=((≮⫘↔1000010011100⨐⩸⫘≮⫘↔100110011001)⪶≀⋏(≮⫘↔1010011111101⫚↹⊑≮⫘↔1011011111010)*(∥⊫≮⫘↔101010110101⋳⪒≮⫘↔10000101110))∸","cot":[{"info":"≮⫘↔1000010011100⨐⩸⫘≮⫘↔100110011001=NaN","layer":3},{"info":"≮⫘↔1010011111101⫚↹⊑≮⫘↔1011011111010=≮⫘↔-110111111","layer":3},{"info":"NaN⪶≀⋏≮⫘↔-110111111=NaN","layer":2},{"info":"≮⫘↔101010110101⋳⪒≮⫘↔10000101110=≮⫘↔1000000011101","layer":3},{"info":"∥⊫≮⫘↔1000000011101=≮⫘↔1001110000001","layer":2},{"info":"NaN*≮⫘↔1001110000001=NaN","layer":1},{"info":"NaN∸=≮⫘↔10110001","layer":0}]}
{"id":432,"expression_no_base_symbol":"↥(((∟⋨$2830$)≳⇉(⪲⇎$5156$))⫿)","expression":"↥(((∟⋨≮⫘↔101100001110)≳⇉(⪲⇎≮⫘↔1010000100100))⫿)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":23522,"operation_count":5,"complexity_ratio":4704.4,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2830,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5156,"base":2}}}}},"used_operators":["A8NUZmVepG","9tKT6PmtkH","V0kx6qeWkN","ctOc4cKSDt","XPYlsWDdGa"],"dependent_operators":["k8jYdgA6NY","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2830","layer":4},{"info":"compute unary expreesion, input=2830, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2346","layer":3},{"info":"number node, value=5156","layer":4},{"info":"compute unary expreesion, input=5156, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10312","layer":3},{"info":"compute binary expreesion, left_input=-2346, right_input=10312, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥(((∟⋨≮⫘↔101100001110)≳⇉(⪲⇎≮⫘↔1010000100100))⫿)=NaN","reverse_text":"NaN=↥(((∟⋨≮⫘↔101100001110)≳⇉(⪲⇎≮⫘↔1010000100100))⫿)","cot":[{"info":"∟⋨≮⫘↔101100001110=≮⫘↔-100100101010","layer":3},{"info":"⪲⇎≮⫘↔1010000100100=≮⫘↔10100001001000","layer":3},{"info":"≮⫘↔-100100101010≳⇉≮⫘↔10100001001000=NaN","layer":2},{"info":"NaN⫿=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"⨮↦↱((∓⪦$2147$)⨫⇇↔(⇁⨣⪵$1207$)≀⩗∶$9352$∘$2103$≥⨤⩑$1426$⫲≸⪮$5071$)","expression":"⨮↦↱((∓⪦≮⫘↔100001100011)⨫⇇↔(⇁⨣⪵≮⫘↔10010110111)≀⩗∶≮⫘↔10010010001000∘≮⫘↔100000110111≥⨤⩑≮⫘↔10110010010⫲≸⪮≮⫘↔1001111001111)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2013,"operation_count":8,"complexity_ratio":251.625,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2147,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1207,"base":2}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":9352,"base":2},"right_expr":{"type":"numeric_atoms","value":2103,"base":2}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1426,"base":2},"right_expr":{"type":"numeric_atoms","value":5071,"base":2}}}}},"used_operators":["sYcpBQ0cFf","8INZBEW696","LXhwmt4mBO","D309nIvmXG","inkyxCbjAn","gJLn6v0xnP","Z5m6OM72h2","P3lXMJvFrc"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","B5M0gjZbta","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eH2TOUuTDT","rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≮⫘↔-10101011100110010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2147","layer":4},{"info":"compute unary expreesion, input=2147, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1739","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1739, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=9352","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=9352, right_input=2103, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=18704","layer":3},{"info":"number node, value=1426","layer":4},{"info":"number node, value=5071","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=5071, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1426","layer":3},{"info":"compute binary expreesion, left_input=18704, right_input=1426, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=1234, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-702864","layer":0}],"base":2,"result_base":2,"text":"⨮↦↱((∓⪦≮⫘↔100001100011)⨫⇇↔(⇁⨣⪵≮⫘↔10010110111)≀⩗∶≮⫘↔10010010001000∘≮⫘↔100000110111≥⨤⩑≮⫘↔10110010010⫲≸⪮≮⫘↔1001111001111)=≮⫘↔-10101011100110010000","reverse_text":"≮⫘↔-10101011100110010000=⨮↦↱((∓⪦≮⫘↔100001100011)⨫⇇↔(⇁⨣⪵≮⫘↔10010110111)≀⩗∶≮⫘↔10010010001000∘≮⫘↔100000110111≥⨤⩑≮⫘↔10110010010⫲≸⪮≮⫘↔1001111001111)","cot":[{"info":"∓⪦≮⫘↔100001100011=≮⫘↔11011001011","layer":3},{"info":"⇁⨣⪵≮⫘↔10010110111=NaN","layer":3},{"info":"≮⫘↔11011001011⨫⇇↔NaN=≮⫘↔-1000001111","layer":2},{"info":"≮⫘↔10010010001000∘≮⫘↔100000110111=≮⫘↔100100100010000","layer":3},{"info":"≮⫘↔10110010010⫲≸⪮≮⫘↔1001111001111=≮⫘↔10110010010","layer":3},{"info":"≮⫘↔100100100010000≥⨤⩑≮⫘↔10110010010=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔-1000001111≀⩗∶≮⫘↔10011010010=≮⫘↔1001","layer":1},{"info":"⨮↦↱≮⫘↔1001=≮⫘↔-10101011100110010000","layer":0}]}
{"id":434,"expression_no_base_symbol":"(⨝⨆($4021$%$9182$)↙($7514$⊪))⨪↰⇹(⇨($4889$⋓$5437$)+⪬∐($2873$⪢$5824$))","expression":"(⨝⨆(≮⫘↔111110110101%≮⫘↔10001111011110)↙(≮⫘↔1110101011010⊪))⨪↰⇹(⇨(≮⫘↔1001100011001⋓≮⫘↔1010100111101)+⪬∐(≮⫘↔101100111001⪢≮⫘↔1011011000000))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6090,"operation_count":9,"complexity_ratio":676.6666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4021,"base":2},"right_expr":{"type":"numeric_atoms","value":9182,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":7514,"base":2}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4889,"base":2},"right_expr":{"type":"numeric_atoms","value":5437,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2873,"base":2},"right_expr":{"type":"numeric_atoms","value":5824,"base":2}}}}},"used_operators":["tmPS8pqC7x","bQ67fsrMVf","yyfyN0ffXY","k8jYdgA6NY","zVYPLywUTj","G9tJMlZ94a","2GS7woTJqF","T2fj7uvVaJ","dWAJyo7jo9"],"dependent_operators":["rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","k8jYdgA6NY","g55IO6H4Gj","D4vGDi5EA2","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY"],"result":"≮⫘↔11010001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4021","layer":4},{"info":"number node, value=9182","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=9182, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4021","layer":3},{"info":"number node, value=7514","layer":4},{"info":"compute unary expreesion, input=7514, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4021, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-209","layer":1},{"info":"number node, value=4889","layer":4},{"info":"number node, value=5437","layer":4},{"info":"compute binary expreesion, left_input=4889, right_input=5437, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2873","layer":4},{"info":"number node, value=5824","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=5824, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-209, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=209","layer":0}],"base":2,"result_base":2,"text":"(⨝⨆(≮⫘↔111110110101%≮⫘↔10001111011110)↙(≮⫘↔1110101011010⊪))⨪↰⇹(⇨(≮⫘↔1001100011001⋓≮⫘↔1010100111101)+⪬∐(≮⫘↔101100111001⪢≮⫘↔1011011000000))=≮⫘↔11010001","reverse_text":"≮⫘↔11010001=(⨝⨆(≮⫘↔111110110101%≮⫘↔10001111011110)↙(≮⫘↔1110101011010⊪))⨪↰⇹(⇨(≮⫘↔1001100011001⋓≮⫘↔1010100111101)+⪬∐(≮⫘↔101100111001⪢≮⫘↔1011011000000))","cot":[{"info":"≮⫘↔111110110101%≮⫘↔10001111011110=≮⫘↔111110110101","layer":3},{"info":"≮⫘↔1110101011010⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔111110110101↙≮⫘↔0=≮⫘↔0","layer":2},{"info":"⨝⨆≮⫘↔0=≮⫘↔-11010001","layer":1},{"info":"≮⫘↔1001100011001⋓≮⫘↔1010100111101=≮⫘↔0","layer":3},{"info":"≮⫘↔101100111001⪢≮⫘↔1011011000000=NaN","layer":3},{"info":"≮⫘↔0+⪬∐NaN=≮⫘↔0","layer":2},{"info":"⇨≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔-11010001⨪↰⇹NaN=≮⫘↔11010001","layer":0}]}
{"id":435,"expression_no_base_symbol":"(⨦⪝(($1688$↯⫤)∓⋝($2004$∠↢$2349$)))⪪(⪨⨬($3616$⊲⩕⊾$4947$∽$4742$⪎↠$1677$))","expression":"(⨦⪝((≮⫘↔11010011000↯⫤)∓⋝(≮⫘↔11111010100∠↢≮⫘↔100100101101)))⪪(⪨⨬(≮⫘↔111000100000⊲⩕⊾≮⫘↔1001101010011∽≮⫘↔1001010000110⪎↠≮⫘↔11010001101))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":506,"operation_count":9,"complexity_ratio":56.22222222222222,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1688,"base":2}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2004,"base":2},"right_expr":{"type":"numeric_atoms","value":2349,"base":2}}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3616,"base":2},"right_expr":{"type":"numeric_atoms","value":4947,"base":2}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4742,"base":2},"right_expr":{"type":"numeric_atoms","value":1677,"base":2}}}}},"used_operators":["xD69zh8xqp","SUjycxNXIR","PoHhknlbAi","VwlE7vj6HS","KbjG8mgYpV","5obUd6DV38","y4ImoPnbV5","DmTXOeWf9t","3tVxb0NHM4"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","T2fj7uvVaJ","nlCqmYiOvY","NTOWxs364D","QMFrweE19q","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"≮⫘↔-1100000111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=2004","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=2349, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-39820","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-39820, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":2},{"info":"compute unary expreesion, input=121, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"number node, value=3616","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=4947, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-103956","layer":3},{"info":"number node, value=4742","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=4742, right_input=1677, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-103956, right_input=160, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=519478","layer":2},{"info":"compute unary expreesion, input=519478, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=-526, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":2,"result_base":2,"text":"(⨦⪝((≮⫘↔11010011000↯⫤)∓⋝(≮⫘↔11111010100∠↢≮⫘↔100100101101)))⪪(⪨⨬(≮⫘↔111000100000⊲⩕⊾≮⫘↔1001101010011∽≮⫘↔1001010000110⪎↠≮⫘↔11010001101))=≮⫘↔-1100000111110","reverse_text":"≮⫘↔-1100000111110=(⨦⪝((≮⫘↔11010011000↯⫤)∓⋝(≮⫘↔11111010100∠↢≮⫘↔100100101101)))⪪(⪨⨬(≮⫘↔111000100000⊲⩕⊾≮⫘↔1001101010011∽≮⫘↔1001010000110⪎↠≮⫘↔11010001101))","cot":[{"info":"≮⫘↔11010011000↯⫤=≮⫘↔0","layer":3},{"info":"≮⫘↔11111010100∠↢≮⫘↔100100101101=≮⫘↔-1001101110001100","layer":3},{"info":"≮⫘↔0∓⋝≮⫘↔-1001101110001100=≮⫘↔1111001","layer":2},{"info":"⨦⪝≮⫘↔1111001=≮⫘↔-11101011100","layer":1},{"info":"≮⫘↔111000100000⊲⩕⊾≮⫘↔1001101010011=≮⫘↔-11001011000010100","layer":3},{"info":"≮⫘↔1001010000110⪎↠≮⫘↔11010001101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-11001011000010100∽≮⫘↔10100000=≮⫘↔1111110110100110110","layer":2},{"info":"⪨⨬≮⫘↔1111110110100110110=≮⫘↔-1000001110","layer":1},{"info":"≮⫘↔-11101011100⪪≮⫘↔-1000001110=≮⫘↔-1100000111110","layer":0}]}
{"id":436,"expression_no_base_symbol":"(($2407$+$2484$)⋹⋡⊁($1729$⪉⨛$1856$)⇴($4814$⨔≚≋$1279$⩺⪪($1976$⊟⇱)))⨂≜((($1753$⨑≵⋬$1306$)⩺⋐⫨)⩦(($5365$⋻⩜⩜$3226$)∺≝⩲($1971$⩌⋺$2717$)))","expression":"((≮⫘↔100101100111+≮⫘↔100110110100)⋹⋡⊁(≮⫘↔11011000001⪉⨛≮⫘↔11101000000)⇴(≮⫘↔1001011001110⨔≚≋≮⫘↔10011111111⩺⪪(≮⫘↔11110111000⊟⇱)))⨂≜(((≮⫘↔11011011001⨑≵⋬≮⫘↔10100011010)⩺⋐⫨)⩦((≮⫘↔1010011110101⋻⩜⩜≮⫘↔110010011010)∺≝⩲(≮⫘↔11110110011⩌⋺≮⫘↔101010011101)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":264330,"operation_count":14,"complexity_ratio":18880.714285714286,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2407,"base":2},"right_expr":{"type":"numeric_atoms","value":2484,"base":2}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1729,"base":2},"right_expr":{"type":"numeric_atoms","value":1856,"base":2}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4814,"base":2},"right_expr":{"type":"numeric_atoms","value":1279,"base":2}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1976,"base":2}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1753,"base":2},"right_expr":{"type":"numeric_atoms","value":1306,"base":2}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5365,"base":2},"right_expr":{"type":"numeric_atoms","value":3226,"base":2}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1971,"base":2},"right_expr":{"type":"numeric_atoms","value":2717,"base":2}}}}},"used_operators":["k1SHOSEABc","4JB6nKBMSY","As8RqfVLgs","W4YGzv6Whe","EWw2JM7wp4","uvdQJvN4PV","Z57zeUYC9z","03sUfWo75k","0kmYd0q39Y","yS9ePUuUdn","XnXgA4xnOs","KPf6cnQVty","oDCm7WA9JY","g7Hmc5v1ko"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","sdazOOVcIp","NTOWxs364D","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","IWmyXbctLI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2407","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=2484, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4891","layer":3},{"info":"number node, value=1729","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=1856, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3546","layer":3},{"info":"compute binary expreesion, left_input=4891, right_input=3546, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4296","layer":2},{"info":"number node, value=4814","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=4814, right_input=1279, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1976","layer":4},{"info":"compute unary expreesion, input=1976, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=4268","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=4268, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-90562","layer":2},{"info":"compute binary expreesion, left_input=4296, right_input=-90562, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-155734","layer":1},{"info":"number node, value=1753","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=1306, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1002","layer":3},{"info":"compute unary expreesion, input=1002, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"number node, value=5365","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=5365, right_input=3226, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10730","layer":3},{"info":"number node, value=1971","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=2717, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4809","layer":3},{"info":"compute binary expreesion, left_input=10730, right_input=-4809, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-155734, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100101100111+≮⫘↔100110110100)⋹⋡⊁(≮⫘↔11011000001⪉⨛≮⫘↔11101000000)⇴(≮⫘↔1001011001110⨔≚≋≮⫘↔10011111111⩺⪪(≮⫘↔11110111000⊟⇱)))⨂≜(((≮⫘↔11011011001⨑≵⋬≮⫘↔10100011010)⩺⋐⫨)⩦((≮⫘↔1010011110101⋻⩜⩜≮⫘↔110010011010)∺≝⩲(≮⫘↔11110110011⩌⋺≮⫘↔101010011101)))=NaN","reverse_text":"NaN=((≮⫘↔100101100111+≮⫘↔100110110100)⋹⋡⊁(≮⫘↔11011000001⪉⨛≮⫘↔11101000000)⇴(≮⫘↔1001011001110⨔≚≋≮⫘↔10011111111⩺⪪(≮⫘↔11110111000⊟⇱)))⨂≜(((≮⫘↔11011011001⨑≵⋬≮⫘↔10100011010)⩺⋐⫨)⩦((≮⫘↔1010011110101⋻⩜⩜≮⫘↔110010011010)∺≝⩲(≮⫘↔11110110011⩌⋺≮⫘↔101010011101)))","cot":[{"info":"≮⫘↔100101100111+≮⫘↔100110110100=≮⫘↔1001100011011","layer":3},{"info":"≮⫘↔11011000001⪉⨛≮⫘↔11101000000=≮⫘↔110111011010","layer":3},{"info":"≮⫘↔1001100011011⋹⋡⊁≮⫘↔110111011010=≮⫘↔1000011001000","layer":2},{"info":"≮⫘↔1001011001110⨔≚≋≮⫘↔10011111111=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔11110111000⊟⇱=≮⫘↔1000010101100","layer":3},{"info":"≮⫘↔10011010010000⩺⪪≮⫘↔1000010101100=≮⫘↔-10110000111000010","layer":2},{"info":"≮⫘↔1000011001000⇴≮⫘↔-10110000111000010=≮⫘↔-100110000001010110","layer":1},{"info":"≮⫘↔11011011001⨑≵⋬≮⫘↔10100011010=≮⫘↔1111101010","layer":3},{"info":"≮⫘↔1111101010⩺⋐⫨=≮⫘↔0","layer":2},{"info":"≮⫘↔1010011110101⋻⩜⩜≮⫘↔110010011010=≮⫘↔10100111101010","layer":3},{"info":"≮⫘↔11110110011⩌⋺≮⫘↔101010011101=≮⫘↔-1001011001001","layer":3},{"info":"≮⫘↔10100111101010∺≝⩲≮⫘↔-1001011001001=≮⫘↔10100000","layer":2},{"info":"≮⫘↔0⩦≮⫘↔10100000=≮⫘↔0","layer":1},{"info":"≮⫘↔-100110000001010110⨂≜≮⫘↔0=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"(⋣($2019$⪇≇⋚$4161$))≓∲(⊙↵-$1450$∴$2528$)⩨($5682$⪃⊛⇣$1137$≬⇓$2106$⪛$4116$)⨫⇇↔(⩏⊷≩$2752$⨽$5240$)","expression":"(⋣(≮⫘↔11111100011⪇≇⋚≮⫘↔1000001000001))≓∲(⊙↵-≮⫘↔10110101010∴≮⫘↔100111100000)⩨(≮⫘↔1011000110010⪃⊛⇣≮⫘↔10001110001≬⇓≮⫘↔100000111010⪛≮⫘↔1000000010100)⨫⇇↔(⩏⊷≩≮⫘↔101011000000⨽≮⫘↔1010001111000)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8052,"operation_count":12,"complexity_ratio":671.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2019,"base":2},"right_expr":{"type":"numeric_atoms","value":4161,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1450,"base":2},"right_expr":{"type":"numeric_atoms","value":2528,"base":2}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5682,"base":2},"right_expr":{"type":"numeric_atoms","value":1137,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2106,"base":2},"right_expr":{"type":"numeric_atoms","value":4116,"base":2}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2752,"base":2},"right_expr":{"type":"numeric_atoms","value":5240,"base":2}}}}},"used_operators":["2DlMacCsIx","s1XTVnmDOJ","zQWRhDnn8F","3sJ7IOPOlU","oWn0xqSxBt","hrf7POJlIJ","LXhwmt4mBO","jWTQ2TZYIH","rrgAzCduG9","uFcxV4UQCh","uOZ1tnYMDE","8HhzD0ZcuI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","23Mk6UjR3U","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2019","layer":4},{"info":"number node, value=4161","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=4161, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=95","layer":2},{"info":"number node, value=1450","layer":4},{"info":"number node, value=2528","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=2528, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4548","layer":3},{"info":"compute unary expreesion, input=4548, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=95, right_input=-1, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-5882","layer":1},{"info":"number node, value=5682","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=5682, right_input=1137, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2106","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=4116, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2106","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2106, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=2752","layer":4},{"info":"number node, value=5240","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=5240, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22734918","layer":3},{"info":"compute unary expreesion, input=-22734918, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=90940286","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=90940286, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-5882, right_input=-527, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⋣(≮⫘↔11111100011⪇≇⋚≮⫘↔1000001000001))≓∲(⊙↵-≮⫘↔10110101010∴≮⫘↔100111100000)⩨(≮⫘↔1011000110010⪃⊛⇣≮⫘↔10001110001≬⇓≮⫘↔100000111010⪛≮⫘↔1000000010100)⨫⇇↔(⩏⊷≩≮⫘↔101011000000⨽≮⫘↔1010001111000)=≮⫘↔0","reverse_text":"≮⫘↔0=(⋣(≮⫘↔11111100011⪇≇⋚≮⫘↔1000001000001))≓∲(⊙↵-≮⫘↔10110101010∴≮⫘↔100111100000)⩨(≮⫘↔1011000110010⪃⊛⇣≮⫘↔10001110001≬⇓≮⫘↔100000111010⪛≮⫘↔1000000010100)⨫⇇↔(⩏⊷≩≮⫘↔101011000000⨽≮⫘↔1010001111000)","cot":[{"info":"≮⫘↔11111100011⪇≇⋚≮⫘↔1000001000001=≮⫘↔0","layer":3},{"info":"⋣≮⫘↔0=≮⫘↔1011111","layer":2},{"info":"≮⫘↔10110101010∴≮⫘↔100111100000=≮⫘↔1000111000100","layer":3},{"info":"⊙↵-≮⫘↔1000111000100=≮⫘↔-1","layer":2},{"info":"≮⫘↔1011111≓∲≮⫘↔-1=≮⫘↔-1011011111010","layer":1},{"info":"≮⫘↔1011000110010⪃⊛⇣≮⫘↔10001110001=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔100000111010⪛≮⫘↔1000000010100=≮⫘↔100000111010","layer":3},{"info":"≮⫘↔10011010010≬⇓≮⫘↔100000111010=≮⫘↔-10110","layer":2},{"info":"≮⫘↔101011000000⨽≮⫘↔1010001111000=≮⫘↔-1010110101110100001000110","layer":3},{"info":"⩏⊷≩≮⫘↔-1010110101110100001000110=≮⫘↔101011010111010001101111110","layer":2},{"info":"≮⫘↔-10110⨫⇇↔≮⫘↔101011010111010001101111110=≮⫘↔-1000001111","layer":1},{"info":"≮⫘↔-1011011111010⩨≮⫘↔-1000001111=≮⫘↔0","layer":0}]}
{"id":438,"expression_no_base_symbol":"((⪹$2920$⩍⋽⫝̸$2904$)⪛⫼(($3065$⋫)⪊≅))⨂≜((≸≮$1336$)⨥⫆(⇺⋃$1141$)⩷∴(($1012$⩨$1615$)⊍))","expression":"((⪹≮⫘↔101101101000⩍⋽⫝̸≮⫘↔101101011000)⪛⫼((≮⫘↔101111111001⋫)⪊≅))⨂≜((≸≮≮⫘↔10100111000)⨥⫆(⇺⋃≮⫘↔10001110101)⩷∴((≮⫘↔1111110100⩨≮⫘↔11001001111)⊍))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14193,"operation_count":12,"complexity_ratio":1182.75,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2920,"base":2},"right_expr":{"type":"numeric_atoms","value":2904,"base":2}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3065,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1336,"base":2}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1141,"base":2}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":1615,"base":2}}}}},"used_operators":["k1SHOSEABc","hyuBjUqXlG","USyYr0JgAa","BiWNJpBvwn","bjFbhXSADs","JL8yIekQnl","9FxExcQeMw","yXekIHxTD4","AljMvE3RRm","E5v5B3UAjG","3nqY3DE9mg","2DlMacCsIx"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","tmPS8pqC7x","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2920","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=2904, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1958","layer":3},{"info":"compute unary expreesion, input=1958, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1778","layer":2},{"info":"number node, value=3065","layer":4},{"info":"compute unary expreesion, input=3065, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3065","layer":3},{"info":"compute unary expreesion, input=3065, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1778, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=1141","layer":4},{"info":"compute unary expreesion, input=1141, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1615, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-4107","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4107, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪹≮⫘↔101101101000⩍⋽⫝̸≮⫘↔101101011000)⪛⫼((≮⫘↔101111111001⋫)⪊≅))⨂≜((≸≮≮⫘↔10100111000)⨥⫆(⇺⋃≮⫘↔10001110101)⩷∴((≮⫘↔1111110100⩨≮⫘↔11001001111)⊍))=NaN","reverse_text":"NaN=((⪹≮⫘↔101101101000⩍⋽⫝̸≮⫘↔101101011000)⪛⫼((≮⫘↔101111111001⋫)⪊≅))⨂≜((≸≮≮⫘↔10100111000)⨥⫆(⇺⋃≮⫘↔10001110101)⩷∴((≮⫘↔1111110100⩨≮⫘↔11001001111)⊍))","cot":[{"info":"≮⫘↔101101101000⩍⋽⫝̸≮⫘↔101101011000=≮⫘↔11110100110","layer":3},{"info":"⪹≮⫘↔11110100110=≮⫘↔-11011110010","layer":2},{"info":"≮⫘↔101111111001⋫=≮⫘↔101111111001","layer":3},{"info":"≮⫘↔101111111001⪊≅=≮⫘↔0","layer":2},{"info":"≮⫘↔-11011110010⪛⫼≮⫘↔0=≮⫘↔1111001000","layer":1},{"info":"≸≮≮⫘↔10100111000=NaN","layer":3},{"info":"⇺⋃≮⫘↔10001110101=NaN","layer":3},{"info":"NaN⨥⫆NaN=NaN","layer":2},{"info":"≮⫘↔1111110100⩨≮⫘↔11001001111=≮⫘↔-11","layer":3},{"info":"≮⫘↔-11⊍=≮⫘↔-1000000001011","layer":2},{"info":"NaN⩷∴≮⫘↔-1000000001011=NaN","layer":1},{"info":"≮⫘↔1111001000⨂≜NaN=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"($5216$⨻⩈⩔$4283$⨎($1396$⇔⨋))↳≱(($1152$≀⩗∶$4265$)⪛⫼(↥≼⋛$5790$))⫸⊐(-(⊖∈$1738$))⨫⇇↔($1519$≨$1213$⨰($5550$⫦⪉$1244$))","expression":"(≮⫘↔1010001100000⨻⩈⩔≮⫘↔1000010111011⨎(≮⫘↔10101110100⇔⨋))↳≱((≮⫘↔10010000000≀⩗∶≮⫘↔1000010101001)⪛⫼(↥≼⋛≮⫘↔1011010011110))⫸⊐(-(⊖∈≮⫘↔11011001010))⨫⇇↔(≮⫘↔10111101111≨≮⫘↔10010111101⨰(≮⫘↔1010110101110⫦⪉≮⫘↔10011011100))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":492,"operation_count":14,"complexity_ratio":35.142857142857146,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5216,"base":2},"right_expr":{"type":"numeric_atoms","value":4283,"base":2}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1396,"base":2}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1152,"base":2},"right_expr":{"type":"numeric_atoms","value":4265,"base":2}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":5790,"base":2}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1738,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1519,"base":2},"right_expr":{"type":"numeric_atoms","value":1213,"base":2}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5550,"base":2},"right_expr":{"type":"numeric_atoms","value":1244,"base":2}}}}},"used_operators":["mqXw5SEYmG","JwTKLfZU96","rJVOvQCfKK","nEsXyWgiOK","uBihLCJcMX","hyuBjUqXlG","8INZBEW696","x5lMkHmzsq","LXhwmt4mBO","t8gj7n24qd","YFxL8Sc2Zy","eewbuw0ToL","0KMCeP1Jsh","wscyQdcy20"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5216","layer":4},{"info":"number node, value=4283","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=4283, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=33327","layer":3},{"info":"number node, value=1396","layer":4},{"info":"compute unary expreesion, input=1396, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=7306","layer":3},{"info":"compute binary expreesion, left_input=33327, right_input=7306, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7306","layer":2},{"info":"number node, value=1152","layer":4},{"info":"number node, value=4265","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4265, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-9","layer":3},{"info":"number node, value=5790","layer":4},{"info":"compute unary expreesion, input=5790, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=-113, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1777","layer":2},{"info":"compute binary expreesion, left_input=7306, right_input=-1777, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1738","layer":4},{"info":"compute unary expreesion, input=1738, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=29166","layer":3},{"info":"compute unary expreesion, input=29166, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-29166","layer":2},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1213, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12714","layer":3},{"info":"number node, value=5550","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=5550, right_input=1244, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6200","layer":3},{"info":"compute binary expreesion, left_input=-12714, right_input=-6200, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6504","layer":2},{"info":"compute binary expreesion, left_input=-29166, right_input=-6504, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010001100000⨻⩈⩔≮⫘↔1000010111011⨎(≮⫘↔10101110100⇔⨋))↳≱((≮⫘↔10010000000≀⩗∶≮⫘↔1000010101001)⪛⫼(↥≼⋛≮⫘↔1011010011110))⫸⊐(-(⊖∈≮⫘↔11011001010))⨫⇇↔(≮⫘↔10111101111≨≮⫘↔10010111101⨰(≮⫘↔1010110101110⫦⪉≮⫘↔10011011100))=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔1010001100000⨻⩈⩔≮⫘↔1000010111011⨎(≮⫘↔10101110100⇔⨋))↳≱((≮⫘↔10010000000≀⩗∶≮⫘↔1000010101001)⪛⫼(↥≼⋛≮⫘↔1011010011110))⫸⊐(-(⊖∈≮⫘↔11011001010))⨫⇇↔(≮⫘↔10111101111≨≮⫘↔10010111101⨰(≮⫘↔1010110101110⫦⪉≮⫘↔10011011100))","cot":[{"info":"≮⫘↔1010001100000⨻⩈⩔≮⫘↔1000010111011=≮⫘↔1000001000101111","layer":3},{"info":"≮⫘↔10101110100⇔⨋=≮⫘↔1110010001010","layer":3},{"info":"≮⫘↔1000001000101111⨎≮⫘↔1110010001010=≮⫘↔1110010001010","layer":2},{"info":"≮⫘↔10010000000≀⩗∶≮⫘↔1000010101001=≮⫘↔-1001","layer":3},{"info":"↥≼⋛≮⫘↔1011010011110=≮⫘↔-1110001","layer":3},{"info":"≮⫘↔-1001⪛⫼≮⫘↔-1110001=≮⫘↔-11011110001","layer":2},{"info":"≮⫘↔1110010001010↳≱≮⫘↔-11011110001=≮⫘↔0","layer":1},{"info":"⊖∈≮⫘↔11011001010=≮⫘↔111000111101110","layer":3},{"info":"-≮⫘↔111000111101110=≮⫘↔-111000111101110","layer":2},{"info":"≮⫘↔10111101111≨≮⫘↔10010111101=≮⫘↔-11000110101010","layer":3},{"info":"≮⫘↔1010110101110⫦⪉≮⫘↔10011011100=≮⫘↔-1100000111000","layer":3},{"info":"≮⫘↔-11000110101010⨰≮⫘↔-1100000111000=≮⫘↔-1100101101000","layer":2},{"info":"≮⫘↔-111000111101110⨫⇇↔≮⫘↔-1100101101000=≮⫘↔-1000001111","layer":1},{"info":"≮⫘↔0⫸⊐≮⫘↔-1000001111=≮⫘↔0","layer":0}]}
{"id":440,"expression_no_base_symbol":"(≯($6829$⩦$2207$+$4938$∑⇟⊟$1460$))⪇≇⋚((⨮↦↱($2911$⩒⫫$1490$))⩺⪪(⩦⊞(∤↝$3069$)))","expression":"(≯(≮⫘↔1101010101101⩦≮⫘↔100010011111+≮⫘↔1001101001010∑⇟⊟≮⫘↔10110110100))⪇≇⋚((⨮↦↱(≮⫘↔101101011111⩒⫫≮⫘↔10111010010))⩺⪪(⩦⊞(∤↝≮⫘↔101111111101)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2351,"operation_count":10,"complexity_ratio":235.1,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6829,"base":2},"right_expr":{"type":"numeric_atoms","value":2207,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4938,"base":2},"right_expr":{"type":"numeric_atoms","value":1460,"base":2}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2911,"base":2},"right_expr":{"type":"numeric_atoms","value":1490,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3069,"base":2}}}}},"used_operators":["3sJ7IOPOlU","keWfFq85dY","W4YGzv6Whe","0kmYd0q39Y","U7g4x0WXJJ","uvdQJvN4PV","sYcpBQ0cFf","KFSx94NKJn","u7fv1HBiaC","3UMq87Qwqg"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","g55IO6H4Gj","JLbD19bQDL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6829","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=6829, right_input=2207, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=13658","layer":3},{"info":"number node, value=4938","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=1460, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13658, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":1},{"info":"number node, value=2911","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=1490, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2609","layer":3},{"info":"compute unary expreesion, input=2609, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-13437771","layer":2},{"info":"number node, value=3069","layer":4},{"info":"compute unary expreesion, input=3069, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=3069","layer":3},{"info":"compute unary expreesion, input=3069, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2796","layer":2},{"info":"compute binary expreesion, left_input=-13437771, right_input=-2796, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≯(≮⫘↔1101010101101⩦≮⫘↔100010011111+≮⫘↔1001101001010∑⇟⊟≮⫘↔10110110100))⪇≇⋚((⨮↦↱(≮⫘↔101101011111⩒⫫≮⫘↔10111010010))⩺⪪(⩦⊞(∤↝≮⫘↔101111111101)))=NaN","reverse_text":"NaN=(≯(≮⫘↔1101010101101⩦≮⫘↔100010011111+≮⫘↔1001101001010∑⇟⊟≮⫘↔10110110100))⪇≇⋚((⨮↦↱(≮⫘↔101101011111⩒⫫≮⫘↔10111010010))⩺⪪(⩦⊞(∤↝≮⫘↔101111111101)))","cot":[{"info":"≮⫘↔1101010101101⩦≮⫘↔100010011111=≮⫘↔11010101011010","layer":3},{"info":"≮⫘↔1001101001010∑⇟⊟≮⫘↔10110110100=NaN","layer":3},{"info":"≮⫘↔11010101011010+NaN=NaN","layer":2},{"info":"≯NaN=NaN","layer":1},{"info":"≮⫘↔101101011111⩒⫫≮⫘↔10111010010=≮⫘↔101000110001","layer":3},{"info":"⨮↦↱≮⫘↔101000110001=≮⫘↔-110011010000101101001011","layer":2},{"info":"∤↝≮⫘↔101111111101=≮⫘↔101111111101","layer":3},{"info":"⩦⊞≮⫘↔101111111101=≮⫘↔-101011101100","layer":2},{"info":"≮⫘↔-110011010000101101001011⩺⪪≮⫘↔-101011101100=≮⫘↔-11100011010","layer":1},{"info":"NaN⪇≇⋚≮⫘↔-11100011010=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"(⨈⪑($3160$↸$3295$)∼(⇜$4346$))⨹","expression":"(⨈⪑(≮⫘↔110001011000↸≮⫘↔110011011111)∼(⇜≮⫘↔1000011111010))⨹","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6828,"operation_count":5,"complexity_ratio":1365.6,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3160,"base":2},"right_expr":{"type":"numeric_atoms","value":3295,"base":2}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4346,"base":2}}}}},"used_operators":["UnCoSGIALn","mp94q5OcYM","DyGG3AbaNP","1eCjFl0mb9","lFBm8KRb8F"],"dependent_operators":["mp7IySMOzn","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3160","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=3295, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3160","layer":3},{"info":"number node, value=4346","layer":4},{"info":"compute unary expreesion, input=4346, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-35176","layer":3},{"info":"compute binary expreesion, left_input=3160, right_input=-35176, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨈⪑(≮⫘↔110001011000↸≮⫘↔110011011111)∼(⇜≮⫘↔1000011111010))⨹=NaN","reverse_text":"NaN=(⨈⪑(≮⫘↔110001011000↸≮⫘↔110011011111)∼(⇜≮⫘↔1000011111010))⨹","cot":[{"info":"≮⫘↔110001011000↸≮⫘↔110011011111=≮⫘↔110001011000","layer":3},{"info":"⇜≮⫘↔1000011111010=≮⫘↔-1000100101101000","layer":3},{"info":"≮⫘↔110001011000∼≮⫘↔-1000100101101000=NaN","layer":2},{"info":"⨈⪑NaN=NaN","layer":1},{"info":"NaN⨹=NaN","layer":0}]}
{"id":442,"expression_no_base_symbol":"(($7247$⋥⋵⩄$1843$)↳≱($2725$∳⫺$1830$)∝(≀↧⇸($7364$∠↢$8377$)))⩣⫁∢(⩦⩻⨪$1041$∀⇚≩$2871$⫥∨⫟$3229$⪕$5230$)","expression":"((≮⫘↔1110001001111⋥⋵⩄≮⫘↔11100110011)↳≱(≮⫘↔101010100101∳⫺≮⫘↔11100100110)∝(≀↧⇸(≮⫘↔1110011000100∠↢≮⫘↔10000010111001)))⩣⫁∢(⩦⩻⨪≮⫘↔10000010001∀⇚≩≮⫘↔101100110111⫥∨⫟≮⫘↔110010011101⪕≮⫘↔1010001101110)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7648,"operation_count":11,"complexity_ratio":695.2727272727273,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":7247,"base":2},"right_expr":{"type":"numeric_atoms","value":1843,"base":2}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2725,"base":2},"right_expr":{"type":"numeric_atoms","value":1830,"base":2}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":7364,"base":2},"right_expr":{"type":"numeric_atoms","value":8377,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1041,"base":2},"right_expr":{"type":"numeric_atoms","value":2871,"base":2}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3229,"base":2},"right_expr":{"type":"numeric_atoms","value":5230,"base":2}}}}},"used_operators":["JDUIKTTSIa","cTDWOvIxvz","JwTKLfZU96","7t3wd0Fuz7","AzXXKTstlj","ljTHtUsqzn","KbjG8mgYpV","2td37pGCOC","KYD54nUTWz","LRNGc0VcxI","umQnsF7QlU"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7247","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=7247, right_input=1843, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2725","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=1830, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-260, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=7364","layer":4},{"info":"number node, value=8377","layer":4},{"info":"compute binary expreesion, left_input=7364, right_input=8377, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-145652","layer":3},{"info":"compute unary expreesion, input=-145652, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=582608","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=582608, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5","layer":1},{"info":"number node, value=1041","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2871, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3229","layer":4},{"info":"number node, value=5230","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=5230, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2129","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2129, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110001001111⋥⋵⩄≮⫘↔11100110011)↳≱(≮⫘↔101010100101∳⫺≮⫘↔11100100110)∝(≀↧⇸(≮⫘↔1110011000100∠↢≮⫘↔10000010111001)))⩣⫁∢(⩦⩻⨪≮⫘↔10000010001∀⇚≩≮⫘↔101100110111⫥∨⫟≮⫘↔110010011101⪕≮⫘↔1010001101110)=NaN","reverse_text":"NaN=((≮⫘↔1110001001111⋥⋵⩄≮⫘↔11100110011)↳≱(≮⫘↔101010100101∳⫺≮⫘↔11100100110)∝(≀↧⇸(≮⫘↔1110011000100∠↢≮⫘↔10000010111001)))⩣⫁∢(⩦⩻⨪≮⫘↔10000010001∀⇚≩≮⫘↔101100110111⫥∨⫟≮⫘↔110010011101⪕≮⫘↔1010001101110)","cot":[{"info":"≮⫘↔1110001001111⋥⋵⩄≮⫘↔11100110011=≮⫘↔1110001","layer":3},{"info":"≮⫘↔101010100101∳⫺≮⫘↔11100100110=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔1110001↳≱≮⫘↔-100000100=≮⫘↔0","layer":2},{"info":"≮⫘↔1110011000100∠↢≮⫘↔10000010111001=≮⫘↔-100011100011110100","layer":3},{"info":"≀↧⇸≮⫘↔-100011100011110100=≮⫘↔10001110001111010000","layer":2},{"info":"≮⫘↔0∝≮⫘↔10001110001111010000=≮⫘↔101","layer":1},{"info":"≮⫘↔10000010001∀⇚≩≮⫘↔101100110111=NaN","layer":3},{"info":"≮⫘↔110010011101⪕≮⫘↔1010001101110=≮⫘↔100001010001","layer":3},{"info":"NaN⫥∨⫟≮⫘↔100001010001=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"≮⫘↔101⩣⫁∢NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"($1987$⫥∨⫟$2666$↙($2919$⨳⩥⨓$3425$)⋭≵($2680$⇮⋭$2488$)⇴(⇋⊎⋝$5763$))⪪((($4033$⊅)⇋≉)⫰⋱($6060$⇴∐$4432$)≝⊿$4739$⪬$2045$)","expression":"(≮⫘↔11111000011⫥∨⫟≮⫘↔101001101010↙(≮⫘↔101101100111⨳⩥⨓≮⫘↔110101100001)⋭≵(≮⫘↔101001111000⇮⋭≮⫘↔100110111000)⇴(⇋⊎⋝≮⫘↔1011010000011))⪪(((≮⫘↔111111000001⊅)⇋≉)⫰⋱(≮⫘↔1011110101100⇴∐≮⫘↔1000101010000)≝⊿≮⫘↔1001010000011⪬≮⫘↔11111111101)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7095,"operation_count":14,"complexity_ratio":506.7857142857143,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1987,"base":2},"right_expr":{"type":"numeric_atoms","value":2666,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2919,"base":2},"right_expr":{"type":"numeric_atoms","value":3425,"base":2}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2680,"base":2},"right_expr":{"type":"numeric_atoms","value":2488,"base":2}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":5763,"base":2}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":4033,"base":2}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":6060,"base":2},"right_expr":{"type":"numeric_atoms","value":4432,"base":2}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4739,"base":2},"right_expr":{"type":"numeric_atoms","value":2045,"base":2}}}}},"used_operators":["xD69zh8xqp","jBncVCNhdl","yyfyN0ffXY","KYD54nUTWz","nCS4ZIUYfx","4JB6nKBMSY","vkpjKywKVM","CzM2PEoXns","6o9Blt3TJ6","XIabStNQrY","7p6YLioM7f","OKKcZfAt5B","HnzytWxmAO","Ez1Nq5fNfI"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","NTOWxs364D","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","dWAJyo7jo9","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","12rbrZMWeM","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"≮⫘↔-1100000111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1987","layer":4},{"info":"number node, value=2666","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=2666, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2919","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=2919, right_input=3425, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=506","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=506, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2680","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=2488, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=5763","layer":4},{"info":"compute unary expreesion, input=5763, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=4033","layer":4},{"info":"compute unary expreesion, input=4033, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute unary expreesion, input=-174, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-446","layer":2},{"info":"number node, value=6060","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=6060, right_input=4432, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=4739","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=4739, right_input=2045, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-446, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11111000011⫥∨⫟≮⫘↔101001101010↙(≮⫘↔101101100111⨳⩥⨓≮⫘↔110101100001)⋭≵(≮⫘↔101001111000⇮⋭≮⫘↔100110111000)⇴(⇋⊎⋝≮⫘↔1011010000011))⪪(((≮⫘↔111111000001⊅)⇋≉)⫰⋱(≮⫘↔1011110101100⇴∐≮⫘↔1000101010000)≝⊿≮⫘↔1001010000011⪬≮⫘↔11111111101)=≮⫘↔-1100000111110","reverse_text":"≮⫘↔-1100000111110=(≮⫘↔11111000011⫥∨⫟≮⫘↔101001101010↙(≮⫘↔101101100111⨳⩥⨓≮⫘↔110101100001)⋭≵(≮⫘↔101001111000⇮⋭≮⫘↔100110111000)⇴(⇋⊎⋝≮⫘↔1011010000011))⪪(((≮⫘↔111111000001⊅)⇋≉)⫰⋱(≮⫘↔1011110101100⇴∐≮⫘↔1000101010000)≝⊿≮⫘↔1001010000011⪬≮⫘↔11111111101)","cot":[{"info":"≮⫘↔11111000011⫥∨⫟≮⫘↔101001101010=NaN","layer":3},{"info":"≮⫘↔101101100111⨳⩥⨓≮⫘↔110101100001=≮⫘↔111111010","layer":3},{"info":"NaN↙≮⫘↔111111010=NaN","layer":2},{"info":"≮⫘↔101001111000⇮⋭≮⫘↔100110111000=≮⫘↔-111011001","layer":3},{"info":"⇋⊎⋝≮⫘↔1011010000011=NaN","layer":3},{"info":"≮⫘↔-111011001⇴NaN=NaN","layer":2},{"info":"NaN⋭≵NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔111111000001⊅=≮⫘↔-10101110","layer":3},{"info":"≮⫘↔-10101110⇋≉=≮⫘↔-110111110","layer":2},{"info":"≮⫘↔1011110101100⇴∐≮⫘↔1000101010000=NaN","layer":3},{"info":"≮⫘↔1001010000011⪬≮⫘↔11111111101=≮⫘↔10011010010","layer":3},{"info":"NaN≝⊿≮⫘↔10011010010=NaN","layer":2},{"info":"≮⫘↔-110111110⫰⋱NaN=NaN","layer":1},{"info":"≮⫘↔1000011⪪NaN=≮⫘↔-1100000111110","layer":0}]}
{"id":444,"expression_no_base_symbol":"($6256$↙$1885$∖$2812$⋛$3777$⋷$1034$⫣⪄⊒$3663$⋓(⨣⨃⇪$4139$))∖(($2859$∠↢$3876$)⪘⫢(⩩$2113$))⊲⩕⊾($1509$⪮%⊝$1486$⩷∴$2757$⨿$8858$)","expression":"(≮⫘↔1100001110000↙≮⫘↔11101011101∖≮⫘↔101011111100⋛≮⫘↔111011000001⋷≮⫘↔10000001010⫣⪄⊒≮⫘↔111001001111⋓(⨣⨃⇪≮⫘↔1000000101011))∖((≮⫘↔101100101011∠↢≮⫘↔111100100100)⪘⫢(⩩≮⫘↔100001000001))⊲⩕⊾(≮⫘↔10111100101⪮%⊝≮⫘↔10111001110⩷∴≮⫘↔101011000101⨿≮⫘↔10001010011010)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5899,"operation_count":15,"complexity_ratio":393.26666666666665,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6256,"base":2},"right_expr":{"type":"numeric_atoms","value":1885,"base":2}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2812,"base":2},"right_expr":{"type":"numeric_atoms","value":3777,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1034,"base":2},"right_expr":{"type":"numeric_atoms","value":3663,"base":2}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":4139,"base":2}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2859,"base":2},"right_expr":{"type":"numeric_atoms","value":3876,"base":2}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2113,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1509,"base":2},"right_expr":{"type":"numeric_atoms","value":1486,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2757,"base":2},"right_expr":{"type":"numeric_atoms","value":8858,"base":2}}}}},"used_operators":["tXD093vOjl","23Mk6UjR3U","yyfyN0ffXY","YbUVn0Rbpy","T2fj7uvVaJ","RabNbG55vr","AcOhelriW5","DmTXOeWf9t","oacrs7FA3X","KbjG8mgYpV","kMhfGuqI2H","9FxExcQeMw","IWmyXbctLI","abYXlopdE0"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6256","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=6256, right_input=1885, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5655","layer":3},{"info":"number node, value=2812","layer":4},{"info":"number node, value=3777","layer":4},{"info":"compute binary expreesion, left_input=2812, right_input=3777, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-106884","layer":3},{"info":"compute binary expreesion, left_input=-5655, right_input=-106884, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3663, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-20422","layer":3},{"info":"number node, value=4139","layer":4},{"info":"compute unary expreesion, input=4139, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=-20422, right_input=1405, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"info":"number node, value=2859","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=3876, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-64618","layer":3},{"info":"number node, value=2113","layer":4},{"info":"compute unary expreesion, input=2113, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-64618, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=1509","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1486, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3334","layer":3},{"info":"number node, value=2757","layer":4},{"info":"number node, value=8858","layer":4},{"info":"compute binary expreesion, left_input=2757, right_input=8858, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=3334, right_input=-319, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7274","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7274, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100001110000↙≮⫘↔11101011101∖≮⫘↔101011111100⋛≮⫘↔111011000001⋷≮⫘↔10000001010⫣⪄⊒≮⫘↔111001001111⋓(⨣⨃⇪≮⫘↔1000000101011))∖((≮⫘↔101100101011∠↢≮⫘↔111100100100)⪘⫢(⩩≮⫘↔100001000001))⊲⩕⊾(≮⫘↔10111100101⪮%⊝≮⫘↔10111001110⩷∴≮⫘↔101011000101⨿≮⫘↔10001010011010)=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔1100001110000↙≮⫘↔11101011101∖≮⫘↔101011111100⋛≮⫘↔111011000001⋷≮⫘↔10000001010⫣⪄⊒≮⫘↔111001001111⋓(⨣⨃⇪≮⫘↔1000000101011))∖((≮⫘↔101100101011∠↢≮⫘↔111100100100)⪘⫢(⩩≮⫘↔100001000001))⊲⩕⊾(≮⫘↔10111100101⪮%⊝≮⫘↔10111001110⩷∴≮⫘↔101011000101⨿≮⫘↔10001010011010)","cot":[{"info":"≮⫘↔1100001110000↙≮⫘↔11101011101=≮⫘↔-1011000010111","layer":3},{"info":"≮⫘↔101011111100⋛≮⫘↔111011000001=≮⫘↔-11010000110000100","layer":3},{"info":"≮⫘↔-1011000010111∖≮⫘↔-11010000110000100=≮⫘↔0","layer":2},{"info":"≮⫘↔10000001010⫣⪄⊒≮⫘↔111001001111=≮⫘↔-100111111000110","layer":3},{"info":"⨣⨃⇪≮⫘↔1000000101011=≮⫘↔10101111101","layer":3},{"info":"≮⫘↔-100111111000110⋓≮⫘↔10101111101=≮⫘↔0","layer":2},{"info":"≮⫘↔0⋷≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔101100101011∠↢≮⫘↔111100100100=≮⫘↔-1111110001101010","layer":3},{"info":"⩩≮⫘↔100001000001=NaN","layer":3},{"info":"≮⫘↔-1111110001101010⪘⫢NaN=NaN","layer":2},{"info":"≮⫘↔10111100101⪮%⊝≮⫘↔10111001110=≮⫘↔110100000110","layer":3},{"info":"≮⫘↔101011000101⨿≮⫘↔10001010011010=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔110100000110⩷∴≮⫘↔-100111111=≮⫘↔1110001101010","layer":2},{"info":"NaN⊲⩕⊾≮⫘↔1110001101010=NaN","layer":1},{"info":"≮⫘↔0∖NaN=≮⫘↔0","layer":0}]}
{"id":445,"expression_no_base_symbol":"($1261$+⇶⊼$2951$⪉⨛(⩩$2571$))⫲≸⪮(($1054$⪑⩈)⩵∡(⨈⫕$1522$))⨸⪁(⫵↿((⊈$1003$)≑≱⪘))","expression":"(≮⫘↔10011101101+⇶⊼≮⫘↔101110000111⪉⨛(⩩≮⫘↔101000001011))⫲≸⪮((≮⫘↔10000011110⪑⩈)⩵∡(⨈⫕≮⫘↔10111110010))⨸⪁(⫵↿((⊈≮⫘↔1111101011)≑≱⪘))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4086,"operation_count":11,"complexity_ratio":371.45454545454544,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1261,"base":2},"right_expr":{"type":"numeric_atoms","value":2951,"base":2}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2571,"base":2}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1054,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1522,"base":2}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1003,"base":2}}}}},"used_operators":["g55IO6H4Gj","P3lXMJvFrc","EWw2JM7wp4","TpPTUOHfaN","kMhfGuqI2H","Y7wcNGrDQJ","C6VvDP6HwP","megm06wKyl","ivGwdmUAux","tGSeddj7UK","RHru8klgy8"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AHs5Up7iyr","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","12rbrZMWeM","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1261","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2951, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2571","layer":4},{"info":"compute unary expreesion, input=2571, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-1012","layer":3},{"info":"number node, value=1522","layer":4},{"info":"compute unary expreesion, input=1522, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-1012, right_input=-21, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2894","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2894, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1177","layer":3},{"info":"compute unary expreesion, input=-1177, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=45417","layer":2},{"info":"compute unary expreesion, input=45417, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=137, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10011101101+⇶⊼≮⫘↔101110000111⪉⨛(⩩≮⫘↔101000001011))⫲≸⪮((≮⫘↔10000011110⪑⩈)⩵∡(⨈⫕≮⫘↔10111110010))⨸⪁(⫵↿((⊈≮⫘↔1111101011)≑≱⪘))=NaN","reverse_text":"NaN=(≮⫘↔10011101101+⇶⊼≮⫘↔101110000111⪉⨛(⩩≮⫘↔101000001011))⫲≸⪮((≮⫘↔10000011110⪑⩈)⩵∡(⨈⫕≮⫘↔10111110010))⨸⪁(⫵↿((⊈≮⫘↔1111101011)≑≱⪘))","cot":[{"info":"≮⫘↔10011101101+⇶⊼≮⫘↔101110000111=NaN","layer":3},{"info":"⩩≮⫘↔101000001011=NaN","layer":3},{"info":"NaN⪉⨛NaN=NaN","layer":2},{"info":"≮⫘↔10000011110⪑⩈=≮⫘↔-1111110100","layer":3},{"info":"⨈⫕≮⫘↔10111110010=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-1111110100⩵∡≮⫘↔-10101=≮⫘↔101101001110","layer":2},{"info":"NaN⫲≸⪮≮⫘↔101101001110=NaN","layer":1},{"info":"⊈≮⫘↔1111101011=≮⫘↔-10010011001","layer":3},{"info":"≮⫘↔-10010011001≑≱⪘=≮⫘↔1011000101101001","layer":2},{"info":"⫵↿≮⫘↔1011000101101001=≮⫘↔10001001","layer":1},{"info":"NaN⨸⪁≮⫘↔10001001=NaN","layer":0}]}
{"id":446,"expression_no_base_symbol":"⨴⫝(⨝⨆$1546$)⪕$4021$⊮⊟↴$1087$≀⩗∶($1480$⫡⨏$1182$)⩼⇪↪$5332$⊕∕$2763$","expression":"⨴⫝(⨝⨆≮⫘↔11000001010)⪕≮⫘↔111110110101⊮⊟↴≮⫘↔10000111111≀⩗∶(≮⫘↔10111001000⫡⨏≮⫘↔10010011110)⩼⇪↪≮⫘↔1010011010100⊕∕≮⫘↔101011001011","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1910,"operation_count":8,"complexity_ratio":238.75,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1546,"base":2}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4021,"base":2},"right_expr":{"type":"numeric_atoms","value":1087,"base":2}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1480,"base":2},"right_expr":{"type":"numeric_atoms","value":1182,"base":2}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5332,"base":2},"right_expr":{"type":"numeric_atoms","value":2763,"base":2}}}}},"used_operators":["SVb2v531z1","8INZBEW696","umQnsF7QlU","bQ67fsrMVf","QDVgd2eftb","ocnLzx9CaJ","QMFrweE19q","9cloC0Ngie"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","tifHPKVTfV","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"≮⫘↔1010110010011110100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1337","layer":3},{"info":"number node, value=4021","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=1087, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1337, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3575","layer":2},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1182, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10547","layer":3},{"info":"number node, value=5332","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=5332, right_input=2763, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5332","layer":3},{"info":"compute binary expreesion, left_input=10547, right_input=5332, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-17013","layer":2},{"info":"compute binary expreesion, left_input=3575, right_input=-17013, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=15","layer":1},{"info":"compute unary expreesion, input=15, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":0}],"base":2,"result_base":2,"text":"⨴⫝(⨝⨆≮⫘↔11000001010)⪕≮⫘↔111110110101⊮⊟↴≮⫘↔10000111111≀⩗∶(≮⫘↔10111001000⫡⨏≮⫘↔10010011110)⩼⇪↪≮⫘↔1010011010100⊕∕≮⫘↔101011001011=≮⫘↔1010110010011110100110","reverse_text":"≮⫘↔1010110010011110100110=⨴⫝(⨝⨆≮⫘↔11000001010)⪕≮⫘↔111110110101⊮⊟↴≮⫘↔10000111111≀⩗∶(≮⫘↔10111001000⫡⨏≮⫘↔10010011110)⩼⇪↪≮⫘↔1010011010100⊕∕≮⫘↔101011001011","cot":[{"info":"⨝⨆≮⫘↔11000001010=≮⫘↔10100111001","layer":3},{"info":"≮⫘↔111110110101⊮⊟↴≮⫘↔10000111111=≮⫘↔0","layer":3},{"info":"≮⫘↔10100111001⪕≮⫘↔0=≮⫘↔110111110111","layer":2},{"info":"≮⫘↔10111001000⫡⨏≮⫘↔10010011110=≮⫘↔10100100110011","layer":3},{"info":"≮⫘↔1010011010100⊕∕≮⫘↔101011001011=≮⫘↔1010011010100","layer":3},{"info":"≮⫘↔10100100110011⩼⇪↪≮⫘↔1010011010100=≮⫘↔-100001001110101","layer":2},{"info":"≮⫘↔110111110111≀⩗∶≮⫘↔-100001001110101=≮⫘↔1111","layer":1},{"info":"⨴⫝≮⫘↔1111=≮⫘↔1010110010011110100110","layer":0}]}
{"id":447,"expression_no_base_symbol":"⇉-⫰(⇠($3364$≃$2165$∠↢($6269$⇮⋭$2845$)))","expression":"⇉-⫰(⇠(≮⫘↔110100100100≃≮⫘↔100001110101∠↢(≮⫘↔1100001111101⇮⋭≮⫘↔101100011101)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":96,"operation_count":5,"complexity_ratio":19.2,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3364,"base":2},"right_expr":{"type":"numeric_atoms","value":2165,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":6269,"base":2},"right_expr":{"type":"numeric_atoms","value":2845,"base":2}}}}},"used_operators":["IGFM8TAlm9","18saOjeKKm","KbjG8mgYpV","YbVcJGFEVW","vkpjKywKVM"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"≮⫘↔10100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3364","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=3364, right_input=2165, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-13496","layer":3},{"info":"number node, value=6269","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=6269, right_input=2845, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-13496, right_input=-473, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=61688","layer":2},{"info":"compute unary expreesion, input=61688, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-61446","layer":1},{"info":"compute unary expreesion, input=-61446, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":2,"result_base":2,"text":"⇉-⫰(⇠(≮⫘↔110100100100≃≮⫘↔100001110101∠↢(≮⫘↔1100001111101⇮⋭≮⫘↔101100011101)))=≮⫘↔10100","reverse_text":"≮⫘↔10100=⇉-⫰(⇠(≮⫘↔110100100100≃≮⫘↔100001110101∠↢(≮⫘↔1100001111101⇮⋭≮⫘↔101100011101)))","cot":[{"info":"≮⫘↔110100100100≃≮⫘↔100001110101=≮⫘↔-11010010111000","layer":3},{"info":"≮⫘↔1100001111101⇮⋭≮⫘↔101100011101=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔-11010010111000∠↢≮⫘↔-111011001=≮⫘↔1111000011111000","layer":2},{"info":"⇠≮⫘↔1111000011111000=≮⫘↔-1111000000000110","layer":1},{"info":"⇉-⫰≮⫘↔-1111000000000110=≮⫘↔10100","layer":0}]}
{"id":448,"expression_no_base_symbol":"(((∓$1101$)⇩)⊀⩕)⪷","expression":"(((∓≮⫘↔10001001101)⇩)⊀⩕)⪷","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1287,"operation_count":4,"complexity_ratio":321.75,"tree":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1101,"base":2}}}}},"used_operators":["Qctrpi3WzA","r0FS3hW4cC","vRio1gEz1j","OwUj7dcsQK"],"dependent_operators":["Nsiff2A1zJ","rGHVDoGpnC","nhYeJWJD5X","W4YGzv6Whe","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"≮⫘↔-1001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-21387","layer":3},{"info":"compute unary expreesion, input=-21387, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-21294","layer":2},{"info":"compute unary expreesion, input=-21294, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=-79","layer":0}],"base":2,"result_base":2,"text":"(((∓≮⫘↔10001001101)⇩)⊀⩕)⪷=≮⫘↔-1001111","reverse_text":"≮⫘↔-1001111=(((∓≮⫘↔10001001101)⇩)⊀⩕)⪷","cot":[{"info":"∓≮⫘↔10001001101=≮⫘↔-101001110001011","layer":3},{"info":"≮⫘↔-101001110001011⇩=≮⫘↔-101001100101110","layer":2},{"info":"≮⫘↔-101001100101110⊀⩕=≮⫘↔0","layer":1},{"info":"≮⫘↔0⪷=≮⫘↔-1001111","layer":0}]}
{"id":449,"expression_no_base_symbol":"($4309$∺≝⩲$1281$%($2143$⇚⪠))⨪↰⇹($4981$⩁⩘$1504$⨎$1647$⇡⇂$1061$)⪶≀⋏(($1133$⋹⋡⊁$4544$⫢⨠($3004$⨒$2356$))⪶≀⋏($2756$∺≝⩲$4214$)⨥⫆($3060$↙$3433$))","expression":"(≮⫘↔1000011010101∺≝⩲≮⫘↔10100000001%(≮⫘↔100001011111⇚⪠))⨪↰⇹(≮⫘↔1001101110101⩁⩘≮⫘↔10111100000⨎≮⫘↔11001101111⇡⇂≮⫘↔10000100101)⪶≀⋏((≮⫘↔10001101101⋹⋡⊁≮⫘↔1000111000000⫢⨠(≮⫘↔101110111100⨒≮⫘↔100100110100))⪶≀⋏(≮⫘↔101011000100∺≝⩲≮⫘↔1000001110110)⨥⫆(≮⫘↔101111110100↙≮⫘↔110101101001))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":73552,"operation_count":15,"complexity_ratio":4903.466666666666,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4309,"base":2},"right_expr":{"type":"numeric_atoms","value":1281,"base":2}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":2143,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4981,"base":2},"right_expr":{"type":"numeric_atoms","value":1504,"base":2}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1647,"base":2},"right_expr":{"type":"numeric_atoms","value":1061,"base":2}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1133,"base":2},"right_expr":{"type":"numeric_atoms","value":4544,"base":2}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3004,"base":2},"right_expr":{"type":"numeric_atoms","value":2356,"base":2}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2756,"base":2},"right_expr":{"type":"numeric_atoms","value":4214,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3060,"base":2},"right_expr":{"type":"numeric_atoms","value":3433,"base":2}}}}},"used_operators":["zR4jO40bMj","tmPS8pqC7x","k8jYdgA6NY","KPf6cnQVty","Loh9y4A90B","rJVOvQCfKK","gub5Cegaqo","UMwdvZNt44","xlXykHWxX1","As8RqfVLgs","y75s1iXyHd","yXekIHxTD4","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rJVOvQCfKK","rysDP5nf3Z","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY"],"result":"≮⫘↔-1000111100010010100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4309","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=1281, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2143","layer":4},{"info":"compute unary expreesion, input=2143, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=9184898","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=9184898, op_id = k8jYdgA6NY binary_op_definition= 'None', output=160","layer":2},{"info":"number node, value=4981","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=4981, right_input=1504, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6964","layer":3},{"info":"number node, value=1647","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=1061, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6964, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":1},{"info":"number node, value=1133","layer":4},{"info":"number node, value=4544","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=4544, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5294","layer":3},{"info":"number node, value=3004","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=3004, right_input=2356, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-17652","layer":3},{"info":"compute binary expreesion, left_input=5294, right_input=-17652, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=97594","layer":2},{"info":"number node, value=2756","layer":4},{"info":"number node, value=4214","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=4214, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3060","layer":4},{"info":"number node, value=3433","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=3433, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10299","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-10299, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=97594, right_input=-1, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-293012","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-293012, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-2344096","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000011010101∺≝⩲≮⫘↔10100000001%(≮⫘↔100001011111⇚⪠))⨪↰⇹(≮⫘↔1001101110101⩁⩘≮⫘↔10111100000⨎≮⫘↔11001101111⇡⇂≮⫘↔10000100101)⪶≀⋏((≮⫘↔10001101101⋹⋡⊁≮⫘↔1000111000000⫢⨠(≮⫘↔101110111100⨒≮⫘↔100100110100))⪶≀⋏(≮⫘↔101011000100∺≝⩲≮⫘↔1000001110110)⨥⫆(≮⫘↔101111110100↙≮⫘↔110101101001))=≮⫘↔-1000111100010010100000","reverse_text":"≮⫘↔-1000111100010010100000=(≮⫘↔1000011010101∺≝⩲≮⫘↔10100000001%(≮⫘↔100001011111⇚⪠))⨪↰⇹(≮⫘↔1001101110101⩁⩘≮⫘↔10111100000⨎≮⫘↔11001101111⇡⇂≮⫘↔10000100101)⪶≀⋏((≮⫘↔10001101101⋹⋡⊁≮⫘↔1000111000000⫢⨠(≮⫘↔101110111100⨒≮⫘↔100100110100))⪶≀⋏(≮⫘↔101011000100∺≝⩲≮⫘↔1000001110110)⨥⫆(≮⫘↔101111110100↙≮⫘↔110101101001))","cot":[{"info":"≮⫘↔1000011010101∺≝⩲≮⫘↔10100000001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔100001011111⇚⪠=≮⫘↔100011000010011010000010","layer":3},{"info":"≮⫘↔10100000%≮⫘↔100011000010011010000010=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1001101110101⩁⩘≮⫘↔10111100000=≮⫘↔1101100110100","layer":3},{"info":"≮⫘↔11001101111⇡⇂≮⫘↔10000100101=NaN","layer":3},{"info":"≮⫘↔1101100110100⨎NaN=NaN","layer":2},{"info":"≮⫘↔10100000⨪↰⇹NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10001101101⋹⋡⊁≮⫘↔1000111000000=≮⫘↔1010010101110","layer":3},{"info":"≮⫘↔101110111100⨒≮⫘↔100100110100=≮⫘↔-100010011110100","layer":3},{"info":"≮⫘↔1010010101110⫢⨠≮⫘↔-100010011110100=≮⫘↔10111110100111010","layer":2},{"info":"≮⫘↔101011000100∺≝⩲≮⫘↔1000001110110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔101111110100↙≮⫘↔110101101001=≮⫘↔-10100000111011","layer":3},{"info":"≮⫘↔10100000⨥⫆≮⫘↔-10100000111011=≮⫘↔-1","layer":2},{"info":"≮⫘↔10111110100111010⪶≀⋏≮⫘↔-1=≮⫘↔-1000111100010010100","layer":1},{"info":"≮⫘↔10100000⪶≀⋏≮⫘↔-1000111100010010100=≮⫘↔-1000111100010010100000","layer":0}]}
{"id":450,"expression_no_base_symbol":"(($2140$⪛$1592$)⩣⫁∢$1084$⨿$1462$⩇∃⫛($7409$≧⫂∧$1972$)∳⫺$2249$≁↽≥$3401$)↳∿⪆(($1022$⋝⋈⪟$1831$∙∹∝(≑⋹$3366$))≠≀($5523$⨳⩥⨓$7483$)⩁⩘($4965$∣$1966$))","expression":"((≮⫘↔100001011100⪛≮⫘↔11000111000)⩣⫁∢≮⫘↔10000111100⨿≮⫘↔10110110110⩇∃⫛(≮⫘↔1110011110001≧⫂∧≮⫘↔11110110100)∳⫺≮⫘↔100011001001≁↽≥≮⫘↔110101001001)↳∿⪆((≮⫘↔1111111110⋝⋈⪟≮⫘↔11100100111∙∹∝(≑⋹≮⫘↔110100100110))≠≀(≮⫘↔1010110010011⨳⩥⨓≮⫘↔1110100111011)⩁⩘(≮⫘↔1001101100101∣≮⫘↔11110101110))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2866,"operation_count":15,"complexity_ratio":191.06666666666666,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2140,"base":2},"right_expr":{"type":"numeric_atoms","value":1592,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1084,"base":2},"right_expr":{"type":"numeric_atoms","value":1462,"base":2}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7409,"base":2},"right_expr":{"type":"numeric_atoms","value":1972,"base":2}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2249,"base":2},"right_expr":{"type":"numeric_atoms","value":3401,"base":2}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1022,"base":2},"right_expr":{"type":"numeric_atoms","value":1831,"base":2}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3366,"base":2}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5523,"base":2},"right_expr":{"type":"numeric_atoms","value":7483,"base":2}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4965,"base":2},"right_expr":{"type":"numeric_atoms","value":1966,"base":2}}}}},"used_operators":["Cw4SuJJGHO","1aApVXNlOP","JDUIKTTSIa","uFcxV4UQCh","abYXlopdE0","AzXXKTstlj","Ph9nP6C5qx","ncHt1X6cMc","IwW236VD4Y","HmxsFra2vL","2DDjHMKMc0","6B9nyZLogK","gub5Cegaqo","nCS4ZIUYfx","PPChnnnBFF"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2140","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=2140, right_input=1592, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=548","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1462, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=548, right_input=-319, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-935","layer":2},{"info":"number node, value=7409","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=7409, right_input=1972, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1499","layer":3},{"info":"number node, value=2249","layer":4},{"info":"number node, value=3401","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=3401, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=43667","layer":3},{"info":"compute binary expreesion, left_input=1499, right_input=43667, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-81276","layer":2},{"info":"compute binary expreesion, left_input=-935, right_input=-81276, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-935","layer":1},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1831, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1022","layer":3},{"info":"number node, value=3366","layer":4},{"info":"compute unary expreesion, input=3366, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=1022, right_input=1650, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=5523","layer":4},{"info":"number node, value=7483","layer":4},{"info":"compute binary expreesion, left_input=5523, right_input=7483, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1960","layer":3},{"info":"number node, value=4965","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=4965, right_input=1966, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4965","layer":3},{"info":"compute binary expreesion, left_input=1960, right_input=4965, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=20808","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=20808, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=306","layer":1},{"info":"compute binary expreesion, left_input=-935, right_input=306, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100001011100⪛≮⫘↔11000111000)⩣⫁∢≮⫘↔10000111100⨿≮⫘↔10110110110⩇∃⫛(≮⫘↔1110011110001≧⫂∧≮⫘↔11110110100)∳⫺≮⫘↔100011001001≁↽≥≮⫘↔110101001001)↳∿⪆((≮⫘↔1111111110⋝⋈⪟≮⫘↔11100100111∙∹∝(≑⋹≮⫘↔110100100110))≠≀(≮⫘↔1010110010011⨳⩥⨓≮⫘↔1110100111011)⩁⩘(≮⫘↔1001101100101∣≮⫘↔11110101110))=NaN","reverse_text":"NaN=((≮⫘↔100001011100⪛≮⫘↔11000111000)⩣⫁∢≮⫘↔10000111100⨿≮⫘↔10110110110⩇∃⫛(≮⫘↔1110011110001≧⫂∧≮⫘↔11110110100)∳⫺≮⫘↔100011001001≁↽≥≮⫘↔110101001001)↳∿⪆((≮⫘↔1111111110⋝⋈⪟≮⫘↔11100100111∙∹∝(≑⋹≮⫘↔110100100110))≠≀(≮⫘↔1010110010011⨳⩥⨓≮⫘↔1110100111011)⩁⩘(≮⫘↔1001101100101∣≮⫘↔11110101110))","cot":[{"info":"≮⫘↔100001011100⪛≮⫘↔11000111000=≮⫘↔1000100100","layer":3},{"info":"≮⫘↔10000111100⨿≮⫘↔10110110110=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔1000100100⩣⫁∢≮⫘↔-100111111=≮⫘↔-1110100111","layer":2},{"info":"≮⫘↔1110011110001≧⫂∧≮⫘↔11110110100=≮⫘↔10111011011","layer":3},{"info":"≮⫘↔100011001001≁↽≥≮⫘↔110101001001=≮⫘↔1010101010010011","layer":3},{"info":"≮⫘↔10111011011∳⫺≮⫘↔1010101010010011=≮⫘↔-10011110101111100","layer":2},{"info":"≮⫘↔-1110100111⩇∃⫛≮⫘↔-10011110101111100=≮⫘↔-1110100111","layer":1},{"info":"≮⫘↔1111111110⋝⋈⪟≮⫘↔11100100111=≮⫘↔1111111110","layer":3},{"info":"≑⋹≮⫘↔110100100110=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔1111111110∙∹∝≮⫘↔11001110010=≮⫘↔0","layer":2},{"info":"≮⫘↔1010110010011⨳⩥⨓≮⫘↔1110100111011=≮⫘↔11110101000","layer":3},{"info":"≮⫘↔1001101100101∣≮⫘↔11110101110=≮⫘↔1001101100101","layer":3},{"info":"≮⫘↔11110101000⩁⩘≮⫘↔1001101100101=≮⫘↔101000101001000","layer":2},{"info":"≮⫘↔0≠≀≮⫘↔101000101001000=≮⫘↔100110010","layer":1},{"info":"≮⫘↔-1110100111↳∿⪆≮⫘↔100110010=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"($7209$⨸$2593$↠)↼⊘⨖(↡(⇨$1078$))↸(≸≮(($6469$≓∲$2854$)∘($3022$⨓$1797$)))","expression":"(≮⫘↔1110000101001⨸≮⫘↔101000100001↠)↼⊘⨖(↡(⇨≮⫘↔10000110110))↸(≸≮((≮⫘↔1100101000101≓∲≮⫘↔101100100110)∘(≮⫘↔101111001110⨓≮⫘↔11100000101)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9462,"operation_count":10,"complexity_ratio":946.2,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":7209,"base":2},"right_expr":{"type":"numeric_atoms","value":2593,"base":2}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1078,"base":2}}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6469,"base":2},"right_expr":{"type":"numeric_atoms","value":2854,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3022,"base":2},"right_expr":{"type":"numeric_atoms","value":1797,"base":2}}}}},"used_operators":["1eCjFl0mb9","bPywburJMS","LBdsKIvxzf","KmoU8R5UQR","MXaNJeIAZ3","G9tJMlZ94a","AljMvE3RRm","Z5m6OM72h2","s1XTVnmDOJ","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","k8jYdgA6NY","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","eH2TOUuTDT","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≮⫘↔-11011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7209","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=7209, right_input=2593, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=14418","layer":3},{"info":"compute unary expreesion, input=14418, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":1},{"info":"number node, value=6469","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=6469, right_input=2854, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=65473","layer":3},{"info":"number node, value=3022","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=1797, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1800","layer":3},{"info":"compute binary expreesion, left_input=65473, right_input=-1800, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-65093","layer":2},{"info":"compute unary expreesion, input=-65093, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=977178","layer":1},{"info":"compute binary expreesion, left_input=-222, right_input=977178, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-222","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1110000101001⨸≮⫘↔101000100001↠)↼⊘⨖(↡(⇨≮⫘↔10000110110))↸(≸≮((≮⫘↔1100101000101≓∲≮⫘↔101100100110)∘(≮⫘↔101111001110⨓≮⫘↔11100000101)))=≮⫘↔-11011110","reverse_text":"≮⫘↔-11011110=(≮⫘↔1110000101001⨸≮⫘↔101000100001↠)↼⊘⨖(↡(⇨≮⫘↔10000110110))↸(≸≮((≮⫘↔1100101000101≓∲≮⫘↔101100100110)∘(≮⫘↔101111001110⨓≮⫘↔11100000101)))","cot":[{"info":"≮⫘↔1110000101001⨸≮⫘↔101000100001=≮⫘↔11100001010010","layer":3},{"info":"≮⫘↔11100001010010↠=≮⫘↔-110111111","layer":2},{"info":"⇨≮⫘↔10000110110=≮⫘↔0","layer":3},{"info":"↡≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-110111111↼⊘⨖≮⫘↔0=≮⫘↔-11011110","layer":1},{"info":"≮⫘↔1100101000101≓∲≮⫘↔101100100110=≮⫘↔1111111111000001","layer":3},{"info":"≮⫘↔101111001110⨓≮⫘↔11100000101=≮⫘↔-11100001000","layer":3},{"info":"≮⫘↔1111111111000001∘≮⫘↔-11100001000=≮⫘↔-1111111001000101","layer":2},{"info":"≸≮≮⫘↔-1111111001000101=≮⫘↔11101110100100011010","layer":1},{"info":"≮⫘↔-11011110↸≮⫘↔11101110100100011010=≮⫘↔-11011110","layer":0}]}
{"id":452,"expression_no_base_symbol":"↨⩢⫨($5668$↱$2788$⨸⪁$1425$⩘$4385$⪨≂(∥⊫(⊖$2038$)))","expression":"↨⩢⫨(≮⫘↔1011000100100↱≮⫘↔101011100100⨸⪁≮⫘↔10110010001⩘≮⫘↔1000100100001⪨≂(∥⊫(⊖≮⫘↔11111110110)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":213,"operation_count":7,"complexity_ratio":30.428571428571427,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5668,"base":2},"right_expr":{"type":"numeric_atoms","value":2788,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1425,"base":2},"right_expr":{"type":"numeric_atoms","value":4385,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2038,"base":2}}}}},"used_operators":["Z5CJsN7DuW","sdazOOVcIp","g55IO6H4Gj","SR5kFfdi6N","cHh1gJQ2o6","P8v4zCKN1o","U6pG0PXrV3"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5668","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=5668, right_input=2788, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-7842","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=4385","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=4385, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-7842, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-15364","layer":2},{"info":"number node, value=2038","layer":4},{"info":"compute unary expreesion, input=2038, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-15364, right_input=868, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-32362","layer":1},{"info":"compute unary expreesion, input=-32362, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":2,"result_base":2,"text":"↨⩢⫨(≮⫘↔1011000100100↱≮⫘↔101011100100⨸⪁≮⫘↔10110010001⩘≮⫘↔1000100100001⪨≂(∥⊫(⊖≮⫘↔11111110110)))=≮⫘↔0","reverse_text":"≮⫘↔0=↨⩢⫨(≮⫘↔1011000100100↱≮⫘↔101011100100⨸⪁≮⫘↔10110010001⩘≮⫘↔1000100100001⪨≂(∥⊫(⊖≮⫘↔11111110110)))","cot":[{"info":"≮⫘↔1011000100100↱≮⫘↔101011100100=≮⫘↔-1111010100010","layer":3},{"info":"≮⫘↔10110010001⩘≮⫘↔1000100100001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1111010100010⨸⪁≮⫘↔10100000=≮⫘↔-11110000000100","layer":2},{"info":"⊖≮⫘↔11111110110=≮⫘↔0","layer":3},{"info":"∥⊫≮⫘↔0=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔-11110000000100⪨≂≮⫘↔1101100100=≮⫘↔-111111001101010","layer":1},{"info":"↨⩢⫨≮⫘↔-111111001101010=≮⫘↔0","layer":0}]}
{"id":453,"expression_no_base_symbol":"($1988$⇻⋧≁$1596$⩘$1020$⊉↱≁$6714$⩧⪆((≤/$1904$)⪉⨛$4580$⋕⪉⪜$3383$))⋥⋵⩄((⇵⪽($3754$⨪↰⇹$1261$))⋛($2076$+⪬∐$1704$⪍↜⋙($4222$⇮⋭$1419$)))","expression":"(≮⫘↔11111000100⇻⋧≁≮⫘↔11000111100⩘≮⫘↔1111111100⊉↱≁≮⫘↔1101000111010⩧⪆((≤/≮⫘↔11101110000)⪉⨛≮⫘↔1000111100100⋕⪉⪜≮⫘↔110100110111))⋥⋵⩄((⇵⪽(≮⫘↔111010101010⨪↰⇹≮⫘↔10011101101))⋛(≮⫘↔100000011100+⪬∐≮⫘↔11010101000⪍↜⋙(≮⫘↔1000001111110⇮⋭≮⫘↔10110001011)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7635,"operation_count":14,"complexity_ratio":545.3571428571429,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1988,"base":2},"right_expr":{"type":"numeric_atoms","value":1596,"base":2}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":6714,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1904,"base":2}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4580,"base":2},"right_expr":{"type":"numeric_atoms","value":3383,"base":2}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3754,"base":2},"right_expr":{"type":"numeric_atoms","value":1261,"base":2}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2076,"base":2},"right_expr":{"type":"numeric_atoms","value":1704,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4222,"base":2},"right_expr":{"type":"numeric_atoms","value":1419,"base":2}}}}},"used_operators":["7t3wd0Fuz7","Ikt5ks8PT7","cHh1gJQ2o6","jCPkEVoL5K","w2P8NbNXyL","EWw2JM7wp4","eLAdDNolq6","z6LnFrNh4i","YbUVn0Rbpy","ZGCBLdVRRX","tmPS8pqC7x","L05ObWFQCd","2GS7woTJqF","vkpjKywKVM"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eewbuw0ToL","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","U7g4x0WXJJ","rJVOvQCfKK","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1988","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=1596, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=6714","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=6714, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-31198","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-31198, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1904","layer":4},{"info":"compute unary expreesion, input=1904, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1420","layer":3},{"info":"number node, value=4580","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=4580, right_input=3383, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-1420, right_input=2802, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-12451","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-12451, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=12451","layer":1},{"info":"number node, value=3754","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=3754, right_input=1261, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3754","layer":3},{"info":"compute unary expreesion, input=3754, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=2076","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=2076, right_input=1704, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6228","layer":3},{"info":"number node, value=4222","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=4222, right_input=1419, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-6228, right_input=-473, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=31303","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=31303, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12451, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11111000100⇻⋧≁≮⫘↔11000111100⩘≮⫘↔1111111100⊉↱≁≮⫘↔1101000111010⩧⪆((≤/≮⫘↔11101110000)⪉⨛≮⫘↔1000111100100⋕⪉⪜≮⫘↔110100110111))⋥⋵⩄((⇵⪽(≮⫘↔111010101010⨪↰⇹≮⫘↔10011101101))⋛(≮⫘↔100000011100+⪬∐≮⫘↔11010101000⪍↜⋙(≮⫘↔1000001111110⇮⋭≮⫘↔10110001011)))=NaN","reverse_text":"NaN=(≮⫘↔11111000100⇻⋧≁≮⫘↔11000111100⩘≮⫘↔1111111100⊉↱≁≮⫘↔1101000111010⩧⪆((≤/≮⫘↔11101110000)⪉⨛≮⫘↔1000111100100⋕⪉⪜≮⫘↔110100110111))⋥⋵⩄((⇵⪽(≮⫘↔111010101010⨪↰⇹≮⫘↔10011101101))⋛(≮⫘↔100000011100+⪬∐≮⫘↔11010101000⪍↜⋙(≮⫘↔1000001111110⇮⋭≮⫘↔10110001011)))","cot":[{"info":"≮⫘↔11111000100⇻⋧≁≮⫘↔11000111100=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔1111111100⊉↱≁≮⫘↔1101000111010=≮⫘↔-111100111011110","layer":3},{"info":"≮⫘↔-110111111⩘≮⫘↔-111100111011110=≮⫘↔10100000","layer":2},{"info":"≤/≮⫘↔11101110000=≮⫘↔-10110001100","layer":3},{"info":"≮⫘↔1000111100100⋕⪉⪜≮⫘↔110100110111=≮⫘↔101011110010","layer":3},{"info":"≮⫘↔-10110001100⪉⨛≮⫘↔101011110010=≮⫘↔-11000010100011","layer":2},{"info":"≮⫘↔10100000⩧⪆≮⫘↔-11000010100011=≮⫘↔11000010100011","layer":1},{"info":"≮⫘↔111010101010⨪↰⇹≮⫘↔10011101101=≮⫘↔111010101010","layer":3},{"info":"⇵⪽≮⫘↔111010101010=NaN","layer":2},{"info":"≮⫘↔100000011100+⪬∐≮⫘↔11010101000=≮⫘↔-1100001010100","layer":3},{"info":"≮⫘↔1000001111110⇮⋭≮⫘↔10110001011=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔-1100001010100⪍↜⋙≮⫘↔-111011001=≮⫘↔111101001000111","layer":2},{"info":"NaN⋛≮⫘↔111101001000111=NaN","layer":1},{"info":"≮⫘↔11000010100011⋥⋵⩄NaN=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"(($5262$⩹$4337$)⨚⇆$5970$⫁⪎$3422$∙⊟($1485$⩷∴$1919$)≒∊($4402$⨓$2524$))⫣⪄⊒(((⊙↵-$4500$)⫚⫇)⫦⪉($1102$⪕$7750$∷(↴⪽⋼$4566$)))","expression":"((≮⫘↔1010010001110⩹≮⫘↔1000011110001)⨚⇆≮⫘↔1011101010010⫁⪎≮⫘↔110101011110∙⊟(≮⫘↔10111001101⩷∴≮⫘↔11101111111)≒∊(≮⫘↔1000100110010⨓≮⫘↔100111011100))⫣⪄⊒(((⊙↵-≮⫘↔1000110010100)⫚⫇)⫦⪉(≮⫘↔10001001110⪕≮⫘↔1111001000110∷(↴⪽⋼≮⫘↔1000111010110)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37620,"operation_count":14,"complexity_ratio":2687.1428571428573,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5262,"base":2},"right_expr":{"type":"numeric_atoms","value":4337,"base":2}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5970,"base":2},"right_expr":{"type":"numeric_atoms","value":3422,"base":2}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1485,"base":2},"right_expr":{"type":"numeric_atoms","value":1919,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4402,"base":2},"right_expr":{"type":"numeric_atoms","value":2524,"base":2}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4500,"base":2}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1102,"base":2},"right_expr":{"type":"numeric_atoms","value":7750,"base":2}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":4566,"base":2}}}}},"used_operators":["RabNbG55vr","SxTAKzQCrw","lwHaAYXP2r","2Wsdkap16l","xRrnTEsQ6j","5KTvxBwnZo","9FxExcQeMw","3ViojmjbAp","wscyQdcy20","SdCjLnB6rR","oWn0xqSxBt","D3AQDKkPcf","umQnsF7QlU","5TUYCnJO6w"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5262","layer":4},{"info":"number node, value=4337","layer":4},{"info":"compute binary expreesion, left_input=5262, right_input=4337, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=4335","layer":3},{"info":"number node, value=5970","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=5970, right_input=3422, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2548","layer":3},{"info":"compute binary expreesion, left_input=4335, right_input=2548, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=1485","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1919, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-900","layer":3},{"info":"number node, value=4402","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=4402, right_input=2524, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2527","layer":3},{"info":"compute binary expreesion, left_input=-900, right_input=-2527, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=1384","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1384, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"number node, value=4500","layer":4},{"info":"compute unary expreesion, input=4500, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1470","layer":2},{"info":"number node, value=1102","layer":4},{"info":"number node, value=7750","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=7750, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=4566","layer":4},{"info":"compute unary expreesion, input=4566, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=4566","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=4566, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4566","layer":2},{"info":"compute binary expreesion, left_input=-1470, right_input=4566, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=6778","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6778, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010010001110⩹≮⫘↔1000011110001)⨚⇆≮⫘↔1011101010010⫁⪎≮⫘↔110101011110∙⊟(≮⫘↔10111001101⩷∴≮⫘↔11101111111)≒∊(≮⫘↔1000100110010⨓≮⫘↔100111011100))⫣⪄⊒(((⊙↵-≮⫘↔1000110010100)⫚⫇)⫦⪉(≮⫘↔10001001110⪕≮⫘↔1111001000110∷(↴⪽⋼≮⫘↔1000111010110)))=NaN","reverse_text":"NaN=((≮⫘↔1010010001110⩹≮⫘↔1000011110001)⨚⇆≮⫘↔1011101010010⫁⪎≮⫘↔110101011110∙⊟(≮⫘↔10111001101⩷∴≮⫘↔11101111111)≒∊(≮⫘↔1000100110010⨓≮⫘↔100111011100))⫣⪄⊒(((⊙↵-≮⫘↔1000110010100)⫚⫇)⫦⪉(≮⫘↔10001001110⪕≮⫘↔1111001000110∷(↴⪽⋼≮⫘↔1000111010110)))","cot":[{"info":"≮⫘↔1010010001110⩹≮⫘↔1000011110001=≮⫘↔1000011101111","layer":3},{"info":"≮⫘↔1011101010010⫁⪎≮⫘↔110101011110=≮⫘↔100111110100","layer":3},{"info":"≮⫘↔1000011101111⨚⇆≮⫘↔100111110100=NaN","layer":2},{"info":"≮⫘↔10111001101⩷∴≮⫘↔11101111111=≮⫘↔-1110000100","layer":3},{"info":"≮⫘↔1000100110010⨓≮⫘↔100111011100=≮⫘↔-100111011111","layer":3},{"info":"≮⫘↔-1110000100≒∊≮⫘↔-100111011111=≮⫘↔10101101000","layer":2},{"info":"NaN∙⊟≮⫘↔10101101000=NaN","layer":1},{"info":"⊙↵-≮⫘↔1000110010100=≮⫘↔-1","layer":3},{"info":"≮⫘↔-1⫚⫇=≮⫘↔-10110111110","layer":2},{"info":"≮⫘↔10001001110⪕≮⫘↔1111001000110=≮⫘↔-110111","layer":3},{"info":"↴⪽⋼≮⫘↔1000111010110=≮⫘↔1000111010110","layer":3},{"info":"≮⫘↔-110111∷≮⫘↔1000111010110=≮⫘↔1000111010110","layer":2},{"info":"≮⫘↔-10110111110⫦⪉≮⫘↔1000111010110=≮⫘↔1101001111010","layer":1},{"info":"NaN⫣⪄⊒≮⫘↔1101001111010=NaN","layer":0}]}
{"id":455,"expression_no_base_symbol":"((($3130$⪘⫢$4001$)⊧↖)⫸⊐($1068$⊹∫⫚$1114$)↳≱$1232$≁↽≥$3085$)⩟","expression":"(((≮⫘↔110000111010⪘⫢≮⫘↔111110100001)⊧↖)⫸⊐(≮⫘↔10000101100⊹∫⫚≮⫘↔10001011010)↳≱≮⫘↔10011010000≁↽≥≮⫘↔110000001101)⩟","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6364,"operation_count":7,"complexity_ratio":909.1428571428571,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3130,"base":2},"right_expr":{"type":"numeric_atoms","value":4001,"base":2}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1068,"base":2},"right_expr":{"type":"numeric_atoms","value":1114,"base":2}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1232,"base":2},"right_expr":{"type":"numeric_atoms","value":3085,"base":2}}}}},"used_operators":["fOIeswaMU4","mqXw5SEYmG","EKiFHuOFxO","oacrs7FA3X","JwTKLfZU96","uWAJUKEvyW","ncHt1X6cMc"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","oWn0xqSxBt","3Oe9XWJUTD"],"result":"≮⫘↔100100110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3130","layer":4},{"info":"number node, value=4001","layer":4},{"info":"compute binary expreesion, left_input=3130, right_input=4001, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6136","layer":3},{"info":"compute unary expreesion, input=6136, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=225936920","layer":2},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1114, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-296","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=3085, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28412","layer":3},{"info":"compute binary expreesion, left_input=-296, right_input=28412, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=225936920, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":1},{"info":"compute unary expreesion, input=-125, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=2352","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔110000111010⪘⫢≮⫘↔111110100001)⊧↖)⫸⊐(≮⫘↔10000101100⊹∫⫚≮⫘↔10001011010)↳≱≮⫘↔10011010000≁↽≥≮⫘↔110000001101)⩟=≮⫘↔100100110000","reverse_text":"≮⫘↔100100110000=(((≮⫘↔110000111010⪘⫢≮⫘↔111110100001)⊧↖)⫸⊐(≮⫘↔10000101100⊹∫⫚≮⫘↔10001011010)↳≱≮⫘↔10011010000≁↽≥≮⫘↔110000001101)⩟","cot":[{"info":"≮⫘↔110000111010⪘⫢≮⫘↔111110100001=≮⫘↔1011111111000","layer":3},{"info":"≮⫘↔1011111111000⊧↖=≮⫘↔1101011101111000011000011000","layer":2},{"info":"≮⫘↔10000101100⊹∫⫚≮⫘↔10001011010=≮⫘↔-100101000","layer":3},{"info":"≮⫘↔10011010000≁↽≥≮⫘↔110000001101=≮⫘↔110111011111100","layer":3},{"info":"≮⫘↔-100101000↳≱≮⫘↔110111011111100=≮⫘↔0","layer":2},{"info":"≮⫘↔1101011101111000011000011000⫸⊐≮⫘↔0=≮⫘↔-1111101","layer":1},{"info":"≮⫘↔-1111101⩟=≮⫘↔100100110000","layer":0}]}
{"id":456,"expression_no_base_symbol":"(($1481$∛$1129$)≴⪞⇿(∜⨇$1048$))⨑⩅≇($2854$⪘⫢$2737$≃$3601$⊴$8714$)⨥⫆(∤(⊖∈$1090$⋕⪉⪜$3273$))","expression":"((≮⫘↔10111001001∛≮⫘↔10001101001)≴⪞⇿(∜⨇≮⫘↔10000011000))⨑⩅≇(≮⫘↔101100100110⪘⫢≮⫘↔101010110001≃≮⫘↔111000010001⊴≮⫘↔10001000001010)⨥⫆(∤(⊖∈≮⫘↔10001000010⋕⪉⪜≮⫘↔110011001001))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9334,"operation_count":11,"complexity_ratio":848.5454545454545,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1481,"base":2},"right_expr":{"type":"numeric_atoms","value":1129,"base":2}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1048,"base":2}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2854,"base":2},"right_expr":{"type":"numeric_atoms","value":2737,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3601,"base":2},"right_expr":{"type":"numeric_atoms","value":8714,"base":2}}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1090,"base":2},"right_expr":{"type":"numeric_atoms","value":3273,"base":2}}}}},"used_operators":["yXekIHxTD4","h92wMvzauj","lvlrscuwVU","w2537kitQq","uFPyJr306J","YbVcJGFEVW","oacrs7FA3X","Nsiff2A1zJ","k2HlF1dBQh","YFxL8Sc2Zy","z6LnFrNh4i"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"≮⫘↔-1","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1129, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=85106","layer":2},{"info":"number node, value=2854","layer":4},{"info":"number node, value=2737","layer":4},{"info":"compute binary expreesion, left_input=2854, right_input=2737, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5584","layer":3},{"info":"number node, value=3601","layer":4},{"info":"number node, value=8714","layer":4},{"info":"compute binary expreesion, left_input=3601, right_input=8714, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5584, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":2},{"info":"compute binary expreesion, left_input=85106, right_input=69, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-255318","layer":1},{"info":"number node, value=1090","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=3273, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=-1514","layer":2},{"info":"compute unary expreesion, input=-1514, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=-255318, right_input=9, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111001001∛≮⫘↔10001101001)≴⪞⇿(∜⨇≮⫘↔10000011000))⨑⩅≇(≮⫘↔101100100110⪘⫢≮⫘↔101010110001≃≮⫘↔111000010001⊴≮⫘↔10001000001010)⨥⫆(∤(⊖∈≮⫘↔10001000010⋕⪉⪜≮⫘↔110011001001))=≮⫘↔-1","reverse_text":"≮⫘↔-1=((≮⫘↔10111001001∛≮⫘↔10001101001)≴⪞⇿(∜⨇≮⫘↔10000011000))⨑⩅≇(≮⫘↔101100100110⪘⫢≮⫘↔101010110001≃≮⫘↔111000010001⊴≮⫘↔10001000001010)⨥⫆(∤(⊖∈≮⫘↔10001000010⋕⪉⪜≮⫘↔110011001001))","cot":[{"info":"≮⫘↔10111001001∛≮⫘↔10001101001=≮⫘↔1000011","layer":3},{"info":"∜⨇≮⫘↔10000011000=NaN","layer":3},{"info":"≮⫘↔1000011≴⪞⇿NaN=≮⫘↔10100110001110010","layer":2},{"info":"≮⫘↔101100100110⪘⫢≮⫘↔101010110001=≮⫘↔1010111010000","layer":3},{"info":"≮⫘↔111000010001⊴≮⫘↔10001000001010=NaN","layer":3},{"info":"≮⫘↔1010111010000≃NaN=≮⫘↔1000101","layer":2},{"info":"≮⫘↔10100110001110010⨑⩅≇≮⫘↔1000101=≮⫘↔-111110010101010110","layer":1},{"info":"≮⫘↔10001000010⋕⪉⪜≮⫘↔110011001001=≮⫘↔11001100","layer":3},{"info":"⊖∈≮⫘↔11001100=≮⫘↔-10111101010","layer":2},{"info":"∤≮⫘↔-10111101010=≮⫘↔1001","layer":1},{"info":"≮⫘↔-111110010101010110⨥⫆≮⫘↔1001=≮⫘↔-1","layer":0}]}
{"id":457,"expression_no_base_symbol":"($4773$⇷$3213$⨸⪁($2699$∧))≨($2560$⪛$5068$⊍⩺⋍$1058$⪚$1064$)⊨($2904$↤⩊$2310$⇋≉)⇻⋧≁((⊽$1446$)⊠≄⫣)","expression":"(≮⫘↔1001010100101⇷≮⫘↔110010001101⨸⪁(≮⫘↔101010001011∧))≨(≮⫘↔101000000000⪛≮⫘↔1001111001100⊍⩺⋍≮⫘↔10000100010⪚≮⫘↔10000101000)⊨(≮⫘↔101101011000↤⩊≮⫘↔100100000110⇋≉)⇻⋧≁((⊽≮⫘↔10110100110)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":67350,"operation_count":13,"complexity_ratio":5180.7692307692305,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4773,"base":2},"right_expr":{"type":"numeric_atoms","value":3213,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2699,"base":2}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2560,"base":2},"right_expr":{"type":"numeric_atoms","value":5068,"base":2}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1058,"base":2},"right_expr":{"type":"numeric_atoms","value":1064,"base":2}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2904,"base":2},"right_expr":{"type":"numeric_atoms","value":2310,"base":2}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1446,"base":2}}}}},"used_operators":["vg4gO5BX6G","0KMCeP1Jsh","g55IO6H4Gj","mp7IySMOzn","z63VuFQld9","OXDGMFPWZM","uFcxV4UQCh","HrjLwUk87U","jCPkEVoL5K","XIabStNQrY","13rbtpv6ld","DIvbN7qnHd","QxG7OkqoLX"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4773","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=4773, right_input=3213, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6426","layer":3},{"info":"number node, value=2699","layer":4},{"info":"compute unary expreesion, input=2699, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6426, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2560","layer":4},{"info":"number node, value=5068","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=5068, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2560","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1064, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-368","layer":3},{"info":"compute binary expreesion, left_input=2560, right_input=-368, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"number node, value=2904","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=2310, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"number node, value=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4414","layer":3},{"info":"compute unary expreesion, input=4414, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001010100101⇷≮⫘↔110010001101⨸⪁(≮⫘↔101010001011∧))≨(≮⫘↔101000000000⪛≮⫘↔1001111001100⊍⩺⋍≮⫘↔10000100010⪚≮⫘↔10000101000)⊨(≮⫘↔101101011000↤⩊≮⫘↔100100000110⇋≉)⇻⋧≁((⊽≮⫘↔10110100110)⊠≄⫣)=NaN","reverse_text":"NaN=(≮⫘↔1001010100101⇷≮⫘↔110010001101⨸⪁(≮⫘↔101010001011∧))≨(≮⫘↔101000000000⪛≮⫘↔1001111001100⊍⩺⋍≮⫘↔10000100010⪚≮⫘↔10000101000)⊨(≮⫘↔101101011000↤⩊≮⫘↔100100000110⇋≉)⇻⋧≁((⊽≮⫘↔10110100110)⊠≄⫣)","cot":[{"info":"≮⫘↔1001010100101⇷≮⫘↔110010001101=≮⫘↔1100100011010","layer":3},{"info":"≮⫘↔101010001011∧=NaN","layer":3},{"info":"≮⫘↔1100100011010⨸⪁NaN=NaN","layer":2},{"info":"≮⫘↔101000000000⪛≮⫘↔1001111001100=≮⫘↔101000000000","layer":3},{"info":"≮⫘↔10000100010⪚≮⫘↔10000101000=≮⫘↔-101110000","layer":3},{"info":"≮⫘↔101000000000⊍⩺⋍≮⫘↔-101110000=NaN","layer":2},{"info":"NaN≨NaN=NaN","layer":1},{"info":"≮⫘↔101101011000↤⩊≮⫘↔100100000110=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⊽≮⫘↔10110100110=≮⫘↔1000100111110","layer":3},{"info":"≮⫘↔1000100111110⊠≄⫣=≮⫘↔0","layer":2},{"info":"NaN⇻⋧≁≮⫘↔0=NaN","layer":1},{"info":"NaN⊨NaN=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"(⊿(≑⋹$2983$)≦↸($2414$↡⊰⫅$5676$))≎⊠⪸(≅≯⇸$3731$⩣⫁∢$9490$)⊕∕($1041$∼$1153$⨐⩸⫘$1249$⊢$2742$)","expression":"(⊿(≑⋹≮⫘↔101110100111)≦↸(≮⫘↔100101101110↡⊰⫅≮⫘↔1011000101100))≎⊠⪸(≅≯⇸≮⫘↔111010010011⩣⫁∢≮⫘↔10010100010010)⊕∕(≮⫘↔10000010001∼≮⫘↔10010000001⨐⩸⫘≮⫘↔10011100001⊢≮⫘↔101010110110)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":79719,"operation_count":11,"complexity_ratio":7247.181818181818,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2983,"base":2}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2414,"base":2},"right_expr":{"type":"numeric_atoms","value":5676,"base":2}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3731,"base":2},"right_expr":{"type":"numeric_atoms","value":9490,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1041,"base":2},"right_expr":{"type":"numeric_atoms","value":1153,"base":2}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1249,"base":2},"right_expr":{"type":"numeric_atoms","value":2742,"base":2}}}}},"used_operators":["bJkvcejdHO","DO4fhlbJSI","RygbFNSyEJ","6B9nyZLogK","VCtxkLNOzz","9cloC0Ngie","apS25hmuAe","JDUIKTTSIa","fu6greOZ01","DyGG3AbaNP","5twsqlHp2o"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","EBcxylXtPf","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2983","layer":4},{"info":"compute unary expreesion, input=2983, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=2414","layer":4},{"info":"number node, value=5676","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=5676, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=11352","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=11352, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-25323","layer":2},{"info":"compute unary expreesion, input=-25323, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=102678","layer":1},{"info":"number node, value=3731","layer":4},{"info":"number node, value=9490","layer":4},{"info":"compute binary expreesion, left_input=3731, right_input=9490, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7301","layer":3},{"info":"compute unary expreesion, input=-7301, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-21527","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1153, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1249","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=2742, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2742","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2742, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21527, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-21527","layer":1},{"info":"compute binary expreesion, left_input=102678, right_input=-21527, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(⊿(≑⋹≮⫘↔101110100111)≦↸(≮⫘↔100101101110↡⊰⫅≮⫘↔1011000101100))≎⊠⪸(≅≯⇸≮⫘↔111010010011⩣⫁∢≮⫘↔10010100010010)⊕∕(≮⫘↔10000010001∼≮⫘↔10010000001⨐⩸⫘≮⫘↔10011100001⊢≮⫘↔101010110110)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(⊿(≑⋹≮⫘↔101110100111)≦↸(≮⫘↔100101101110↡⊰⫅≮⫘↔1011000101100))≎⊠⪸(≅≯⇸≮⫘↔111010010011⩣⫁∢≮⫘↔10010100010010)⊕∕(≮⫘↔10000010001∼≮⫘↔10010000001⨐⩸⫘≮⫘↔10011100001⊢≮⫘↔101010110110)","cot":[{"info":"≑⋹≮⫘↔101110100111=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔100101101110↡⊰⫅≮⫘↔1011000101100=≮⫘↔10110001011000","layer":3},{"info":"≮⫘↔11001110010≦↸≮⫘↔10110001011000=≮⫘↔-110001011101011","layer":2},{"info":"⊿≮⫘↔-110001011101011=≮⫘↔11001000100010110","layer":1},{"info":"≮⫘↔111010010011⩣⫁∢≮⫘↔10010100010010=≮⫘↔-1110010000101","layer":3},{"info":"≅≯⇸≮⫘↔-1110010000101=≮⫘↔-101010000010111","layer":2},{"info":"≮⫘↔10000010001∼≮⫘↔10010000001=NaN","layer":3},{"info":"≮⫘↔10011100001⊢≮⫘↔101010110110=≮⫘↔-101010110110","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-101010110110=NaN","layer":2},{"info":"≮⫘↔-101010000010111⊕∕NaN=≮⫘↔-101010000010111","layer":1},{"info":"≮⫘↔11001000100010110≎⊠⪸≮⫘↔-101010000010111=≮⫘↔1000011","layer":0}]}
{"id":459,"expression_no_base_symbol":"⪸($1323$⨪↰⇹$5581$∑⇟⊟($2627$⇮⋭$1907$))⪃⊛⇣($1273$⨿$1082$⨸($5313$⊘))","expression":"⪸(≮⫘↔10100101011⨪↰⇹≮⫘↔1010111001101∑⇟⊟(≮⫘↔101001000011⇮⋭≮⫘↔11101110011))⪃⊛⇣(≮⫘↔10011111001⨿≮⫘↔10000111010⨸(≮⫘↔1010011000001⊘))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":226447,"operation_count":8,"complexity_ratio":28305.875,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1323,"base":2},"right_expr":{"type":"numeric_atoms","value":5581,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2627,"base":2},"right_expr":{"type":"numeric_atoms","value":1907,"base":2}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1273,"base":2},"right_expr":{"type":"numeric_atoms","value":1082,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5313,"base":2}}}}},"used_operators":["86A5ENbKR9","rrgAzCduG9","U7g4x0WXJJ","tmPS8pqC7x","vkpjKywKVM","KmoU8R5UQR","abYXlopdE0","gu96TGCTMs"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"≮⫘↔-101000100100001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"number node, value=5581","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=5581, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1323","layer":3},{"info":"number node, value=2627","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=1907, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=1323, right_input=-473, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1273","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=1082, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=5313","layer":4},{"info":"compute unary expreesion, input=5313, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=638","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=638, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-20769","layer":0}],"base":2,"result_base":2,"text":"⪸(≮⫘↔10100101011⨪↰⇹≮⫘↔1010111001101∑⇟⊟(≮⫘↔101001000011⇮⋭≮⫘↔11101110011))⪃⊛⇣(≮⫘↔10011111001⨿≮⫘↔10000111010⨸(≮⫘↔1010011000001⊘))=≮⫘↔-101000100100001","reverse_text":"≮⫘↔-101000100100001=⪸(≮⫘↔10100101011⨪↰⇹≮⫘↔1010111001101∑⇟⊟(≮⫘↔101001000011⇮⋭≮⫘↔11101110011))⪃⊛⇣(≮⫘↔10011111001⨿≮⫘↔10000111010⨸(≮⫘↔1010011000001⊘))","cot":[{"info":"≮⫘↔10100101011⨪↰⇹≮⫘↔1010111001101=≮⫘↔10100101011","layer":3},{"info":"≮⫘↔101001000011⇮⋭≮⫘↔11101110011=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔10100101011∑⇟⊟≮⫘↔-111011001=NaN","layer":2},{"info":"≮⫘↔10011111001⨿≮⫘↔10000111010=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔1010011000001⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔-100111111⨸≮⫘↔0=≮⫘↔1001111110","layer":2},{"info":"NaN⪃⊛⇣≮⫘↔1001111110=≮⫘↔10011010010","layer":1},{"info":"⪸≮⫘↔10011010010=≮⫘↔-101000100100001","layer":0}]}
{"id":460,"expression_no_base_symbol":"(→⩰($1378$∷$3275$)⨸($5589$↺$3244$))-(⨡↴(⩩(∤$2489$)))","expression":"(→⩰(≮⫘↔10101100010∷≮⫘↔110011001011)⨸(≮⫘↔1010111010101↺≮⫘↔110010101100))-(⨡↴(⩩(∤≮⫘↔100110111001)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11362,"operation_count":8,"complexity_ratio":1420.25,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1378,"base":2},"right_expr":{"type":"numeric_atoms","value":3275,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5589,"base":2},"right_expr":{"type":"numeric_atoms","value":3244,"base":2}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2489,"base":2}}}}},"used_operators":["rysDP5nf3Z","o8Pngz0Tml","KmoU8R5UQR","D3AQDKkPcf","7j4O788W3g","liw5iZPkLH","kMhfGuqI2H","k2HlF1dBQh"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=3275, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3275","layer":3},{"info":"number node, value=5589","layer":4},{"info":"number node, value=3244","layer":4},{"info":"compute binary expreesion, left_input=5589, right_input=3244, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3244","layer":3},{"info":"compute binary expreesion, left_input=3275, right_input=3244, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6550","layer":2},{"info":"compute unary expreesion, input=6550, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=2489","layer":4},{"info":"compute unary expreesion, input=2489, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(→⩰(≮⫘↔10101100010∷≮⫘↔110011001011)⨸(≮⫘↔1010111010101↺≮⫘↔110010101100))-(⨡↴(⩩(∤≮⫘↔100110111001)))=NaN","reverse_text":"NaN=(→⩰(≮⫘↔10101100010∷≮⫘↔110011001011)⨸(≮⫘↔1010111010101↺≮⫘↔110010101100))-(⨡↴(⩩(∤≮⫘↔100110111001)))","cot":[{"info":"≮⫘↔10101100010∷≮⫘↔110011001011=≮⫘↔110011001011","layer":3},{"info":"≮⫘↔1010111010101↺≮⫘↔110010101100=≮⫘↔110010101100","layer":3},{"info":"≮⫘↔110011001011⨸≮⫘↔110010101100=≮⫘↔1100110010110","layer":2},{"info":"→⩰≮⫘↔1100110010110=NaN","layer":1},{"info":"∤≮⫘↔100110111001=≮⫘↔1001","layer":3},{"info":"⩩≮⫘↔1001=NaN","layer":2},{"info":"⨡↴NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":461,"expression_no_base_symbol":"(($1508$/$2769$)⋓($1875$⊉≛↸$2582$)⫳≱↱(⩦⊞$5562$)→⨶⪴($1032$⫢⨠$1718$))⋛(((⊄⩳↩$1418$)⩱)⇽⩪)","expression":"((≮⫘↔10111100100/≮⫘↔101011010001)⋓(≮⫘↔11101010011⊉≛↸≮⫘↔101000010110)⫳≱↱(⩦⊞≮⫘↔1010110111010)→⨶⪴(≮⫘↔10000001000⫢⨠≮⫘↔11010110110))⋛(((⊄⩳↩≮⫘↔10110001010)⩱)⇽⩪)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":737,"operation_count":11,"complexity_ratio":67.0,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1508,"base":2},"right_expr":{"type":"numeric_atoms","value":2769,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1875,"base":2},"right_expr":{"type":"numeric_atoms","value":2582,"base":2}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":5562,"base":2}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1032,"base":2},"right_expr":{"type":"numeric_atoms","value":1718,"base":2}}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1418,"base":2}}}}},"used_operators":["YbUVn0Rbpy","ZvLB05nZmT","T2fj7uvVaJ","XhwjNDsVaA","DZ8iAZOCBD","bF6eod5Gvf","u7fv1HBiaC","xlXykHWxX1","FonBHBYJbU","uyq1hVkAcj","8w2t5hMYqp"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-11110011101110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2769, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1875","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=2582, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3750","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3750, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=5562","layer":4},{"info":"compute unary expreesion, input=5562, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5289","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1718, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-5289, right_input=160, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-480, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4254","layer":3},{"info":"compute unary expreesion, input=-4254, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=25274","layer":2},{"info":"compute unary expreesion, input=25274, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=51070","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=51070, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-124785","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111100100/≮⫘↔101011010001)⋓(≮⫘↔11101010011⊉≛↸≮⫘↔101000010110)⫳≱↱(⩦⊞≮⫘↔1010110111010)→⨶⪴(≮⫘↔10000001000⫢⨠≮⫘↔11010110110))⋛(((⊄⩳↩≮⫘↔10110001010)⩱)⇽⩪)=≮⫘↔-11110011101110001","reverse_text":"≮⫘↔-11110011101110001=((≮⫘↔10111100100/≮⫘↔101011010001)⋓(≮⫘↔11101010011⊉≛↸≮⫘↔101000010110)⫳≱↱(⩦⊞≮⫘↔1010110111010)→⨶⪴(≮⫘↔10000001000⫢⨠≮⫘↔11010110110))⋛(((⊄⩳↩≮⫘↔10110001010)⩱)⇽⩪)","cot":[{"info":"≮⫘↔10111100100/≮⫘↔101011010001=≮⫘↔0","layer":3},{"info":"≮⫘↔11101010011⊉≛↸≮⫘↔101000010110=≮⫘↔111010100110","layer":3},{"info":"≮⫘↔0⋓≮⫘↔111010100110=≮⫘↔0","layer":2},{"info":"⩦⊞≮⫘↔1010110111010=≮⫘↔-1010010101001","layer":3},{"info":"≮⫘↔10000001000⫢⨠≮⫘↔11010110110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1010010101001→⨶⪴≮⫘↔10100000=≮⫘↔-111100000","layer":2},{"info":"≮⫘↔0⫳≱↱≮⫘↔-111100000=≮⫘↔-11001100","layer":1},{"info":"⊄⩳↩≮⫘↔10110001010=≮⫘↔-1000010011110","layer":3},{"info":"≮⫘↔-1000010011110⩱=≮⫘↔110001010111010","layer":2},{"info":"≮⫘↔110001010111010⇽⩪=≮⫘↔1100011101111110","layer":1},{"info":"≮⫘↔-11001100⋛≮⫘↔1100011101111110=≮⫘↔-11110011101110001","layer":0}]}
{"id":462,"expression_no_base_symbol":"(⪨⨬((⊵⊁$1228$)⨔≚≋$1073$⇤$2051$))≣⋋","expression":"(⪨⨬((⊵⊁≮⫘↔10011001100)⨔≚≋≮⫘↔10000110001⇤≮⫘↔100000000011))≣⋋","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":623,"operation_count":5,"complexity_ratio":124.6,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1228,"base":2}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1073,"base":2},"right_expr":{"type":"numeric_atoms","value":2051,"base":2}}}}},"used_operators":["Tcnh7f0tEr","5obUd6DV38","Z57zeUYC9z","AvED76WdY7","YSKBFp38Pu"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","T2fj7uvVaJ","nlCqmYiOvY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=6298","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=2051, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-12772","layer":3},{"info":"compute binary expreesion, left_input=6298, right_input=-12772, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute unary expreesion, input=9872, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute unary expreesion, input=-526, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⪨⨬((⊵⊁≮⫘↔10011001100)⨔≚≋≮⫘↔10000110001⇤≮⫘↔100000000011))≣⋋=≮⫘↔0","reverse_text":"≮⫘↔0=(⪨⨬((⊵⊁≮⫘↔10011001100)⨔≚≋≮⫘↔10000110001⇤≮⫘↔100000000011))≣⋋","cot":[{"info":"⊵⊁≮⫘↔10011001100=≮⫘↔1100010011010","layer":3},{"info":"≮⫘↔10000110001⇤≮⫘↔100000000011=≮⫘↔-11000111100100","layer":3},{"info":"≮⫘↔1100010011010⨔≚≋≮⫘↔-11000111100100=≮⫘↔10011010010000","layer":2},{"info":"⪨⨬≮⫘↔10011010010000=≮⫘↔-1000001110","layer":1},{"info":"≮⫘↔-1000001110≣⋋=≮⫘↔0","layer":0}]}
{"id":463,"expression_no_base_symbol":"($8625$⩼⇪↪$2583$≀⩗∶$3308$⩚⊴⇥$8359$)∥⊢⊲(($1483$⩘⨬⇊)⫥∨⫟$2557$∛$3040$)⊴(⇙⪊(($1118$⊾⪯⋞$3423$)⊔(∂⩏⊆$6976$)))","expression":"(≮⫘↔10000110110001⩼⇪↪≮⫘↔101000010111≀⩗∶≮⫘↔110011101100⩚⊴⇥≮⫘↔10000010100111)∥⊢⊲((≮⫘↔10111001011⩘⨬⇊)⫥∨⫟≮⫘↔100111111101∛≮⫘↔101111100000)⊴(⇙⪊((≮⫘↔10001011110⊾⪯⋞≮⫘↔110101011111)⊔(∂⩏⊆≮⫘↔1101101000000)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2589,"operation_count":12,"complexity_ratio":215.75,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":8625,"base":2},"right_expr":{"type":"numeric_atoms","value":2583,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3308,"base":2},"right_expr":{"type":"numeric_atoms","value":8359,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1483,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2557,"base":2},"right_expr":{"type":"numeric_atoms","value":3040,"base":2}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1118,"base":2},"right_expr":{"type":"numeric_atoms","value":3423,"base":2}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":6976,"base":2}}}}},"used_operators":["Nsiff2A1zJ","v1UQAVDJRr","8INZBEW696","ocnLzx9CaJ","NTOWxs364D","KYD54nUTWz","XXmTpEpWTW","w2537kitQq","pB6Fcnrjim","E4l6HwMY31","HK0tfVPux8","8WDwsbhb0R"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","EBcxylXtPf","rGHVDoGpnC","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","14qkJME0vr","eLAdDNolq6"],"result":"≮⫘↔-1001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8625","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=8625, right_input=2583, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-1614","layer":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=8359","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=8359, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11788","layer":3},{"info":"compute binary expreesion, left_input=-1614, right_input=-11788, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-21","layer":2},{"info":"number node, value=1483","layer":4},{"info":"compute unary expreesion, input=1483, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=2557","layer":4},{"info":"number node, value=3040","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=3040, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=1118","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=3423, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6420","layer":3},{"info":"number node, value=6976","layer":4},{"info":"compute unary expreesion, input=6976, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-21007","layer":3},{"info":"compute binary expreesion, left_input=6420, right_input=-21007, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=12805","layer":2},{"info":"compute unary expreesion, input=12805, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000110110001⩼⇪↪≮⫘↔101000010111≀⩗∶≮⫘↔110011101100⩚⊴⇥≮⫘↔10000010100111)∥⊢⊲((≮⫘↔10111001011⩘⨬⇊)⫥∨⫟≮⫘↔100111111101∛≮⫘↔101111100000)⊴(⇙⪊((≮⫘↔10001011110⊾⪯⋞≮⫘↔110101011111)⊔(∂⩏⊆≮⫘↔1101101000000)))=≮⫘↔-1001111","reverse_text":"≮⫘↔-1001111=(≮⫘↔10000110110001⩼⇪↪≮⫘↔101000010111≀⩗∶≮⫘↔110011101100⩚⊴⇥≮⫘↔10000010100111)∥⊢⊲((≮⫘↔10111001011⩘⨬⇊)⫥∨⫟≮⫘↔100111111101∛≮⫘↔101111100000)⊴(⇙⪊((≮⫘↔10001011110⊾⪯⋞≮⫘↔110101011111)⊔(∂⩏⊆≮⫘↔1101101000000)))","cot":[{"info":"≮⫘↔10000110110001⩼⇪↪≮⫘↔101000010111=≮⫘↔-11001001110","layer":3},{"info":"≮⫘↔110011101100⩚⊴⇥≮⫘↔10000010100111=≮⫘↔-10111000001100","layer":3},{"info":"≮⫘↔-11001001110≀⩗∶≮⫘↔-10111000001100=≮⫘↔-10101","layer":2},{"info":"≮⫘↔10111001011⩘⨬⇊=NaN","layer":3},{"info":"≮⫘↔100111111101∛≮⫘↔101111100000=≮⫘↔-1010011110","layer":3},{"info":"NaN⫥∨⫟≮⫘↔-1010011110=NaN","layer":2},{"info":"≮⫘↔-10101∥⊢⊲NaN=NaN","layer":1},{"info":"≮⫘↔10001011110⊾⪯⋞≮⫘↔110101011111=≮⫘↔1100100010100","layer":3},{"info":"∂⩏⊆≮⫘↔1101101000000=≮⫘↔-101001000001111","layer":3},{"info":"≮⫘↔1100100010100⊔≮⫘↔-101001000001111=≮⫘↔11001000000101","layer":2},{"info":"⇙⪊≮⫘↔11001000000101=≮⫘↔0","layer":1},{"info":"NaN⊴≮⫘↔0=≮⫘↔-1001111","layer":0}]}
{"id":464,"expression_no_base_symbol":"((∂$5944$)↳≱($2367$⩢≌))⇻⋧≁(⇁⨣⪵($3300$⊍⩺⋍$6192$))⨿((∂$3243$⨪↰⇹$1103$)⩇∃⫛$3319$↤⩊$6764$⊬⨰$1260$⩦$2062$)","expression":"((∂≮⫘↔1011100111000)↳≱(≮⫘↔100100111111⩢≌))⇻⋧≁(⇁⨣⪵(≮⫘↔110011100100⊍⩺⋍≮⫘↔1100000110000))⨿((∂≮⫘↔110010101011⨪↰⇹≮⫘↔10001001111)⩇∃⫛≮⫘↔110011110111↤⩊≮⫘↔1101001101100⊬⨰≮⫘↔10011101100⩦≮⫘↔100000001110)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5735,"operation_count":13,"complexity_ratio":441.15384615384613,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5944,"base":2}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2367,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3300,"base":2},"right_expr":{"type":"numeric_atoms","value":6192,"base":2}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3243,"base":2},"right_expr":{"type":"numeric_atoms","value":1103,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3319,"base":2},"right_expr":{"type":"numeric_atoms","value":6764,"base":2}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1260,"base":2},"right_expr":{"type":"numeric_atoms","value":2062,"base":2}}}}},"used_operators":["abYXlopdE0","jCPkEVoL5K","JwTKLfZU96","Uaa54Peajs","D617RFjZIq","inkyxCbjAn","OXDGMFPWZM","1aApVXNlOP","tmPS8pqC7x","s3Fd5m9Dh2","13rbtpv6ld","0kmYd0q39Y"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","hTbEZDJLEm","o20kRiQErp","B5M0gjZbta","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rJVOvQCfKK","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5944","layer":4},{"info":"compute unary expreesion, input=5944, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=3300","layer":4},{"info":"number node, value=6192","layer":4},{"info":"compute binary expreesion, left_input=3300, right_input=6192, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"number node, value=3243","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=1103, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3243","layer":3},{"info":"compute unary expreesion, input=3243, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=3319","layer":4},{"info":"number node, value=6764","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=6764, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2062, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2520","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2520, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":2,"result_base":2,"text":"((∂≮⫘↔1011100111000)↳≱(≮⫘↔100100111111⩢≌))⇻⋧≁(⇁⨣⪵(≮⫘↔110011100100⊍⩺⋍≮⫘↔1100000110000))⨿((∂≮⫘↔110010101011⨪↰⇹≮⫘↔10001001111)⩇∃⫛≮⫘↔110011110111↤⩊≮⫘↔1101001101100⊬⨰≮⫘↔10011101100⩦≮⫘↔100000001110)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((∂≮⫘↔1011100111000)↳≱(≮⫘↔100100111111⩢≌))⇻⋧≁(⇁⨣⪵(≮⫘↔110011100100⊍⩺⋍≮⫘↔1100000110000))⨿((∂≮⫘↔110010101011⨪↰⇹≮⫘↔10001001111)⩇∃⫛≮⫘↔110011110111↤⩊≮⫘↔1101001101100⊬⨰≮⫘↔10011101100⩦≮⫘↔100000001110)","cot":[{"info":"∂≮⫘↔1011100111000=NaN","layer":3},{"info":"≮⫘↔100100111111⩢≌=≮⫘↔1110001","layer":3},{"info":"NaN↳≱≮⫘↔1110001=≮⫘↔0","layer":2},{"info":"≮⫘↔110011100100⊍⩺⋍≮⫘↔1100000110000=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"≮⫘↔0⇻⋧≁NaN=≮⫘↔-110111111","layer":1},{"info":"≮⫘↔110010101011⨪↰⇹≮⫘↔10001001111=≮⫘↔110010101011","layer":3},{"info":"∂≮⫘↔110010101011=NaN","layer":2},{"info":"≮⫘↔110011110111↤⩊≮⫘↔1101001101100=NaN","layer":3},{"info":"≮⫘↔10011101100⩦≮⫘↔100000001110=≮⫘↔100111011000","layer":3},{"info":"NaN⊬⨰≮⫘↔100111011000=NaN","layer":2},{"info":"NaN⩇∃⫛NaN=NaN","layer":1},{"info":"≮⫘↔-110111111⨿NaN=≮⫘↔1000011","layer":0}]}
{"id":465,"expression_no_base_symbol":"(($2075$⋾⨃∁$3517$)⊴($1121$∲⫓$5394$)⩚⊴⇥($7115$⊹∫⫚$3533$)⫯⪬∳(≻⋜$1172$))≨(($8775$⨲)≨($1439$⊝)≥⨤⩑(($3893$⪎↠$2845$)⊀⩕))","expression":"((≮⫘↔100000011011⋾⨃∁≮⫘↔110110111101)⊴(≮⫘↔10001100001∲⫓≮⫘↔1010100010010)⩚⊴⇥(≮⫘↔1101111001011⊹∫⫚≮⫘↔110111001101)⫯⪬∳(≻⋜≮⫘↔10010010100))≨((≮⫘↔10001001000111⨲)≨(≮⫘↔10110011111⊝)≥⨤⩑((≮⫘↔111100110101⪎↠≮⫘↔101100011101)⊀⩕))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13393,"operation_count":14,"complexity_ratio":956.6428571428571,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2075,"base":2},"right_expr":{"type":"numeric_atoms","value":3517,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1121,"base":2},"right_expr":{"type":"numeric_atoms","value":5394,"base":2}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":7115,"base":2},"right_expr":{"type":"numeric_atoms","value":3533,"base":2}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1172,"base":2}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":8775,"base":2}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1439,"base":2}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3893,"base":2},"right_expr":{"type":"numeric_atoms","value":2845,"base":2}}}}},"used_operators":["0KMCeP1Jsh","NTOWxs364D","Nsiff2A1zJ","212REbPD9h","i8ToyICDmI","d7ASUq0ydm","uWAJUKEvyW","3tj9sqzovi","gJLn6v0xnP","nLYMGWM7L8","O6EZ0fifGK","r0FS3hW4cC","3tVxb0NHM4"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","rGHVDoGpnC","nhYeJWJD5X","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"≮⫘↔11101011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2075","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=3517, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=123650592","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=5394, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=123650592, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=7115","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=7115, right_input=3533, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-124","layer":3},{"info":"number node, value=1172","layer":4},{"info":"compute unary expreesion, input=1172, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-124, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-101","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=-101, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=59","layer":1},{"info":"number node, value=8775","layer":4},{"info":"compute unary expreesion, input=8775, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=nan","layer":3},{"info":"number node, value=1439","layer":4},{"info":"compute unary expreesion, input=1439, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1439","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1439, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=3893","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=2845, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=59, right_input=1234, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1886","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100000011011⋾⨃∁≮⫘↔110110111101)⊴(≮⫘↔10001100001∲⫓≮⫘↔1010100010010)⩚⊴⇥(≮⫘↔1101111001011⊹∫⫚≮⫘↔110111001101)⫯⪬∳(≻⋜≮⫘↔10010010100))≨((≮⫘↔10001001000111⨲)≨(≮⫘↔10110011111⊝)≥⨤⩑((≮⫘↔111100110101⪎↠≮⫘↔101100011101)⊀⩕))=≮⫘↔11101011110","reverse_text":"≮⫘↔11101011110=((≮⫘↔100000011011⋾⨃∁≮⫘↔110110111101)⊴(≮⫘↔10001100001∲⫓≮⫘↔1010100010010)⩚⊴⇥(≮⫘↔1101111001011⊹∫⫚≮⫘↔110111001101)⫯⪬∳(≻⋜≮⫘↔10010010100))≨((≮⫘↔10001001000111⨲)≨(≮⫘↔10110011111⊝)≥⨤⩑((≮⫘↔111100110101⪎↠≮⫘↔101100011101)⊀⩕))","cot":[{"info":"≮⫘↔100000011011⋾⨃∁≮⫘↔110110111101=≮⫘↔111010111101100001000100000","layer":3},{"info":"≮⫘↔10001100001∲⫓≮⫘↔1010100010010=≮⫘↔0","layer":3},{"info":"≮⫘↔111010111101100001000100000⊴≮⫘↔0=≮⫘↔-1001111","layer":2},{"info":"≮⫘↔1101111001011⊹∫⫚≮⫘↔110111001101=≮⫘↔-1111100","layer":3},{"info":"≻⋜≮⫘↔10010010100=NaN","layer":3},{"info":"≮⫘↔-1111100⫯⪬∳NaN=≮⫘↔-1100101","layer":2},{"info":"≮⫘↔-1001111⩚⊴⇥≮⫘↔-1100101=≮⫘↔111011","layer":1},{"info":"≮⫘↔10001001000111⨲=NaN","layer":3},{"info":"≮⫘↔10110011111⊝=≮⫘↔10110011111","layer":3},{"info":"NaN≨≮⫘↔10110011111=NaN","layer":2},{"info":"≮⫘↔111100110101⪎↠≮⫘↔101100011101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⊀⩕=≮⫘↔0","layer":2},{"info":"NaN≥⨤⩑≮⫘↔0=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔111011≨≮⫘↔10011010010=≮⫘↔11101011110","layer":0}]}
{"id":466,"expression_no_base_symbol":"($3062$∇⊂⋱$5861$⋭≵$4346$⩁⩘$5946$↸$2346$↳∿⪆$2439$∑⇟⊟$2346$⪔⊥$4006$)⊔($8250$∥⊢⊲$1591$⋻⩜⩜($1540$⇔⨋))⨜⨶($8001$⪨⊡$1535$)≁($5881$⨎$4466$)","expression":"(≮⫘↔101111110110∇⊂⋱≮⫘↔1011011100101⋭≵≮⫘↔1000011111010⩁⩘≮⫘↔1011100111010↸≮⫘↔100100101010↳∿⪆≮⫘↔100110000111∑⇟⊟≮⫘↔100100101010⪔⊥≮⫘↔111110100110)⊔(≮⫘↔10000000111010∥⊢⊲≮⫘↔11000110111⋻⩜⩜(≮⫘↔11000000100⇔⨋))⨜⨶(≮⫘↔1111101000001⪨⊡≮⫘↔10111111111)≁(≮⫘↔1011011111001⨎≮⫘↔1000101110010)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":117007,"operation_count":15,"complexity_ratio":7800.466666666666,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3062,"base":2},"right_expr":{"type":"numeric_atoms","value":5861,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4346,"base":2},"right_expr":{"type":"numeric_atoms","value":5946,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2346,"base":2},"right_expr":{"type":"numeric_atoms","value":2439,"base":2}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2346,"base":2},"right_expr":{"type":"numeric_atoms","value":4006,"base":2}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":8250,"base":2},"right_expr":{"type":"numeric_atoms","value":1591,"base":2}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1540,"base":2}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":8001,"base":2},"right_expr":{"type":"numeric_atoms","value":1535,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5881,"base":2},"right_expr":{"type":"numeric_atoms","value":4466,"base":2}}}}},"used_operators":["E4l6HwMY31","1eCjFl0mb9","jBncVCNhdl","nhYeJWJD5X","gub5Cegaqo","U7g4x0WXJJ","Cw4SuJJGHO","HJ9erzHUuu","HiPekx5b7W","oDCm7WA9JY","v1UQAVDJRr","uBihLCJcMX","8N2wDY1A35","kuIXHzHcAH","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DpFCA1CohY","IWmyXbctLI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","EBcxylXtPf","rGHVDoGpnC","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3062","layer":4},{"info":"number node, value=5861","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=5861, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5578","layer":3},{"info":"number node, value=4346","layer":4},{"info":"number node, value=5946","layer":4},{"info":"compute binary expreesion, left_input=4346, right_input=5946, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=24732","layer":3},{"info":"compute binary expreesion, left_input=5578, right_input=24732, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2346","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=2439, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2346","layer":4},{"info":"number node, value=4006","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=4006, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1173","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1173, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=67","layer":1},{"info":"number node, value=8250","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=8250, right_input=1591, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1540","layer":4},{"info":"compute unary expreesion, input=1540, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=8170","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8170, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=8001","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=8001, right_input=1535, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5881","layer":4},{"info":"number node, value=4466","layer":4},{"info":"compute binary expreesion, left_input=5881, right_input=4466, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4466","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4466, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101111110110∇⊂⋱≮⫘↔1011011100101⋭≵≮⫘↔1000011111010⩁⩘≮⫘↔1011100111010↸≮⫘↔100100101010↳∿⪆≮⫘↔100110000111∑⇟⊟≮⫘↔100100101010⪔⊥≮⫘↔111110100110)⊔(≮⫘↔10000000111010∥⊢⊲≮⫘↔11000110111⋻⩜⩜(≮⫘↔11000000100⇔⨋))⨜⨶(≮⫘↔1111101000001⪨⊡≮⫘↔10111111111)≁(≮⫘↔1011011111001⨎≮⫘↔1000101110010)=NaN","reverse_text":"NaN=(≮⫘↔101111110110∇⊂⋱≮⫘↔1011011100101⋭≵≮⫘↔1000011111010⩁⩘≮⫘↔1011100111010↸≮⫘↔100100101010↳∿⪆≮⫘↔100110000111∑⇟⊟≮⫘↔100100101010⪔⊥≮⫘↔111110100110)⊔(≮⫘↔10000000111010∥⊢⊲≮⫘↔11000110111⋻⩜⩜(≮⫘↔11000000100⇔⨋))⨜⨶(≮⫘↔1111101000001⪨⊡≮⫘↔10111111111)≁(≮⫘↔1011011111001⨎≮⫘↔1000101110010)","cot":[{"info":"≮⫘↔101111110110∇⊂⋱≮⫘↔1011011100101=≮⫘↔1010111001010","layer":3},{"info":"≮⫘↔1000011111010⩁⩘≮⫘↔1011100111010=≮⫘↔110000010011100","layer":3},{"info":"≮⫘↔1010111001010⋭≵≮⫘↔110000010011100=≮⫘↔1000011","layer":2},{"info":"≮⫘↔100100101010↳∿⪆≮⫘↔100110000111=NaN","layer":3},{"info":"≮⫘↔100100101010⪔⊥≮⫘↔111110100110=≮⫘↔10010010101","layer":3},{"info":"NaN∑⇟⊟≮⫘↔10010010101=NaN","layer":2},{"info":"≮⫘↔1000011↸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10000000111010∥⊢⊲≮⫘↔11000110111=NaN","layer":3},{"info":"≮⫘↔11000000100⇔⨋=≮⫘↔1111111101010","layer":3},{"info":"NaN⋻⩜⩜≮⫘↔1111111101010=NaN","layer":2},{"info":"≮⫘↔1111101000001⪨⊡≮⫘↔10111111111=≮⫘↔0","layer":3},{"info":"≮⫘↔1011011111001⨎≮⫘↔1000101110010=≮⫘↔1000101110010","layer":3},{"info":"≮⫘↔0≁≮⫘↔1000101110010=NaN","layer":2},{"info":"NaN⨜⨶NaN=NaN","layer":1},{"info":"≮⫘↔1000011⊔NaN=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"(($4776$⩦$1508$⇌⫙⪟($4328$⇴∐$1180$))↬($1145$⨪↰⇹$1142$⋳⪒(⊖$1211$)))⪃⊛⇣(⨂⪏⇭(⩏⊷≩$4794$)⩦($1619$⊬⨰$2489$))","expression":"((≮⫘↔1001010101000⩦≮⫘↔10111100100⇌⫙⪟(≮⫘↔1000011101000⇴∐≮⫘↔10010011100))↬(≮⫘↔10001111001⨪↰⇹≮⫘↔10001110110⋳⪒(⊖≮⫘↔10010111011)))⪃⊛⇣(⨂⪏⇭(⩏⊷≩≮⫘↔1001010111010)⩦(≮⫘↔11001010011⊬⨰≮⫘↔100110111001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1854,"operation_count":12,"complexity_ratio":154.5,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4776,"base":2},"right_expr":{"type":"numeric_atoms","value":1508,"base":2}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4328,"base":2},"right_expr":{"type":"numeric_atoms","value":1180,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1145,"base":2},"right_expr":{"type":"numeric_atoms","value":1142,"base":2}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1211,"base":2}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4794,"base":2}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1619,"base":2},"right_expr":{"type":"numeric_atoms","value":2489,"base":2}}}}},"used_operators":["rrgAzCduG9","B5M0gjZbta","AFVx7xoS7T","0kmYd0q39Y","HnzytWxmAO","12rbrZMWeM","tmPS8pqC7x","U6pG0PXrV3","AYdpE9sXAk","uOZ1tnYMDE","s3Fd5m9Dh2"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rGHVDoGpnC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","23Mk6UjR3U","12rbrZMWeM","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4776","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=4776, right_input=1508, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=9552","layer":3},{"info":"number node, value=4328","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=1180, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9552, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"number node, value=1145","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1142, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1145","layer":3},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1145, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2003","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2003, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=4794","layer":4},{"info":"compute unary expreesion, input=4794, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=9287","layer":3},{"info":"number node, value=1619","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=2489, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=10519","layer":3},{"info":"compute binary expreesion, left_input=9287, right_input=10519, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=18574","layer":2},{"info":"compute unary expreesion, input=18574, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=54743","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=54743, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001010101000⩦≮⫘↔10111100100⇌⫙⪟(≮⫘↔1000011101000⇴∐≮⫘↔10010011100))↬(≮⫘↔10001111001⨪↰⇹≮⫘↔10001110110⋳⪒(⊖≮⫘↔10010111011)))⪃⊛⇣(⨂⪏⇭(⩏⊷≩≮⫘↔1001010111010)⩦(≮⫘↔11001010011⊬⨰≮⫘↔100110111001))=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((≮⫘↔1001010101000⩦≮⫘↔10111100100⇌⫙⪟(≮⫘↔1000011101000⇴∐≮⫘↔10010011100))↬(≮⫘↔10001111001⨪↰⇹≮⫘↔10001110110⋳⪒(⊖≮⫘↔10010111011)))⪃⊛⇣(⨂⪏⇭(⩏⊷≩≮⫘↔1001010111010)⩦(≮⫘↔11001010011⊬⨰≮⫘↔100110111001))","cot":[{"info":"≮⫘↔1001010101000⩦≮⫘↔10111100100=≮⫘↔10010101010000","layer":3},{"info":"≮⫘↔1000011101000⇴∐≮⫘↔10010011100=NaN","layer":3},{"info":"≮⫘↔10010101010000⇌⫙⪟NaN=NaN","layer":2},{"info":"≮⫘↔10001111001⨪↰⇹≮⫘↔10001110110=≮⫘↔10001111001","layer":3},{"info":"⊖≮⫘↔10010111011=≮⫘↔0","layer":3},{"info":"≮⫘↔10001111001⋳⪒≮⫘↔0=≮⫘↔11111010011","layer":2},{"info":"NaN↬≮⫘↔11111010011=NaN","layer":1},{"info":"⩏⊷≩≮⫘↔1001010111010=≮⫘↔10010001000111","layer":3},{"info":"≮⫘↔11001010011⊬⨰≮⫘↔100110111001=≮⫘↔10100100010111","layer":3},{"info":"≮⫘↔10010001000111⩦≮⫘↔10100100010111=≮⫘↔100100010001110","layer":2},{"info":"⨂⪏⇭≮⫘↔100100010001110=≮⫘↔1101010111010111","layer":1},{"info":"NaN⪃⊛⇣≮⫘↔1101010111010111=≮⫘↔10011010010","layer":0}]}
{"id":468,"expression_no_base_symbol":"(⨩∲⋌(($8813$⇉⇉)⪮%⊝(↥≼⋛$3772$)))⨫⇇↔(⨵≀≌(≉(∓⪦$1235$)))","expression":"(⨩∲⋌((≮⫘↔10001001101101⇉⇉)⪮%⊝(↥≼⋛≮⫘↔111010111100)))⨫⇇↔(⨵≀≌(≉(∓⪦≮⫘↔10011010011)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":124,"operation_count":8,"complexity_ratio":15.5,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":8813,"base":2}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":3772,"base":2}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1235,"base":2}}}}},"used_operators":["LXhwmt4mBO","aSik1wnThz","IWmyXbctLI","diKm42VcIt","x5lMkHmzsq","srAu1WTS94","e1ybzncUwg","D309nIvmXG"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"≮⫘↔-1000001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8813","layer":4},{"info":"compute unary expreesion, input=8813, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-584540","layer":3},{"info":"number node, value=3772","layer":4},{"info":"compute unary expreesion, input=3772, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=-584540, right_input=-113, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1168764","layer":2},{"info":"compute unary expreesion, input=-1168764, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1168527","layer":1},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=827","layer":3},{"info":"compute unary expreesion, input=827, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1358","layer":2},{"info":"compute unary expreesion, input=1358, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4074","layer":1},{"info":"compute binary expreesion, left_input=-1168527, right_input=-4074, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":2,"result_base":2,"text":"(⨩∲⋌((≮⫘↔10001001101101⇉⇉)⪮%⊝(↥≼⋛≮⫘↔111010111100)))⨫⇇↔(⨵≀≌(≉(∓⪦≮⫘↔10011010011)))=≮⫘↔-1000001111","reverse_text":"≮⫘↔-1000001111=(⨩∲⋌((≮⫘↔10001001101101⇉⇉)⪮%⊝(↥≼⋛≮⫘↔111010111100)))⨫⇇↔(⨵≀≌(≉(∓⪦≮⫘↔10011010011)))","cot":[{"info":"≮⫘↔10001001101101⇉⇉=≮⫘↔-10001110101101011100","layer":3},{"info":"↥≼⋛≮⫘↔111010111100=≮⫘↔-1110001","layer":3},{"info":"≮⫘↔-10001110101101011100⪮%⊝≮⫘↔-1110001=≮⫘↔-100011101010101111100","layer":2},{"info":"⨩∲⋌≮⫘↔-100011101010101111100=≮⫘↔-100011101010010001111","layer":1},{"info":"∓⪦≮⫘↔10011010011=≮⫘↔1100111011","layer":3},{"info":"≉≮⫘↔1100111011=≮⫘↔10101001110","layer":2},{"info":"⨵≀≌≮⫘↔10101001110=≮⫘↔-111111101010","layer":1},{"info":"≮⫘↔-100011101010010001111⨫⇇↔≮⫘↔-111111101010=≮⫘↔-1000001111","layer":0}]}
{"id":469,"expression_no_base_symbol":"⩦⩻⨪(↓⇌($2633$⇼⇔∾$5169$))⫥∨⫟(($3310$⫑)∽$2783$⊉≛↸$2827$)","expression":"⩦⩻⨪(↓⇌(≮⫘↔101001001001⇼⇔∾≮⫘↔1010000110001))⫥∨⫟((≮⫘↔110011101110⫑)∽≮⫘↔101011011111⊉≛↸≮⫘↔101100001011)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":316,"operation_count":7,"complexity_ratio":45.142857142857146,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2633,"base":2},"right_expr":{"type":"numeric_atoms","value":5169,"base":2}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":3310,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2783,"base":2},"right_expr":{"type":"numeric_atoms","value":2827,"base":2}}}}},"used_operators":["2td37pGCOC","KYD54nUTWz","PxpmPgHHJV","tifHPKVTfV","y4ImoPnbV5","CgIo77xlM2","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","QMFrweE19q","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2633","layer":4},{"info":"number node, value=5169","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=5169, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2536","layer":3},{"info":"compute unary expreesion, input=2536, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2536","layer":2},{"info":"number node, value=3310","layer":4},{"info":"compute unary expreesion, input=3310, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=2783","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=2827, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5566","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=5566, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-36415","layer":2},{"info":"compute binary expreesion, left_input=2536, right_input=-36415, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪(↓⇌(≮⫘↔101001001001⇼⇔∾≮⫘↔1010000110001))⫥∨⫟((≮⫘↔110011101110⫑)∽≮⫘↔101011011111⊉≛↸≮⫘↔101100001011)=NaN","reverse_text":"NaN=⩦⩻⨪(↓⇌(≮⫘↔101001001001⇼⇔∾≮⫘↔1010000110001))⫥∨⫟((≮⫘↔110011101110⫑)∽≮⫘↔101011011111⊉≛↸≮⫘↔101100001011)","cot":[{"info":"≮⫘↔101001001001⇼⇔∾≮⫘↔1010000110001=≮⫘↔100111101000","layer":3},{"info":"↓⇌≮⫘↔100111101000=≮⫘↔100111101000","layer":2},{"info":"≮⫘↔110011101110⫑=≮⫘↔111110001011","layer":3},{"info":"≮⫘↔101011011111⊉≛↸≮⫘↔101100001011=≮⫘↔1010110111110","layer":3},{"info":"≮⫘↔111110001011∽≮⫘↔1010110111110=≮⫘↔-1000111000111111","layer":2},{"info":"≮⫘↔100111101000⫥∨⫟≮⫘↔-1000111000111111=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"((⊑$1845$⪭$2954$)∙⊟(↨$2782$⫞⩸⩒$2730$))⨫⇇↔($2093$⊴$1041$⪔$1061$∳⫺$1684$⇼⇔∾$7618$⪥$2383$⋓($4647$⨽$1458$))","expression":"((⊑≮⫘↔11100110101⪭≮⫘↔101110001010)∙⊟(↨≮⫘↔101011011110⫞⩸⩒≮⫘↔101010101010))⨫⇇↔(≮⫘↔100000101101⊴≮⫘↔10000010001⪔≮⫘↔10000100101∳⫺≮⫘↔11010010100⇼⇔∾≮⫘↔1110111000010⪥≮⫘↔100101001111⋓(≮⫘↔1001000100111⨽≮⫘↔10110110010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11004,"operation_count":13,"complexity_ratio":846.4615384615385,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1845,"base":2},"right_expr":{"type":"numeric_atoms","value":2954,"base":2}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2782,"base":2},"right_expr":{"type":"numeric_atoms","value":2730,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2093,"base":2},"right_expr":{"type":"numeric_atoms","value":1041,"base":2}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1061,"base":2},"right_expr":{"type":"numeric_atoms","value":1684,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":7618,"base":2},"right_expr":{"type":"numeric_atoms","value":2383,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4647,"base":2},"right_expr":{"type":"numeric_atoms","value":1458,"base":2}}}}},"used_operators":["LXhwmt4mBO","SxTAKzQCrw","IkUmn0D7oy","j9kHMeSvPp","jiX4gk2v2Q","XGcMNugi78","tifHPKVTfV","GjBEYRfMaF","Nsiff2A1zJ","AzXXKTstlj","T2fj7uvVaJ","QbnwKVWMIQ","8HhzD0ZcuI"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","COABgblf1C","xUOZtlo3hN","rGHVDoGpnC","oZj3VtZNQx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","dWAJyo7jo9","14qkJME0vr","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≮⫘↔-1000001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=2954, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=2782","layer":4},{"info":"number node, value=2730","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=2730, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2730","layer":3},{"info":"compute unary expreesion, input=2730, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=19789","layer":1},{"info":"number node, value=2093","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=1041, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1684, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"number node, value=7618","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=7618, right_input=2383, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=35124","layer":3},{"info":"number node, value=4647","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=1458, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-64786887","layer":3},{"info":"compute binary expreesion, left_input=35124, right_input=-64786887, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19789, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":2,"result_base":2,"text":"((⊑≮⫘↔11100110101⪭≮⫘↔101110001010)∙⊟(↨≮⫘↔101011011110⫞⩸⩒≮⫘↔101010101010))⨫⇇↔(≮⫘↔100000101101⊴≮⫘↔10000010001⪔≮⫘↔10000100101∳⫺≮⫘↔11010010100⇼⇔∾≮⫘↔1110111000010⪥≮⫘↔100101001111⋓(≮⫘↔1001000100111⨽≮⫘↔10110110010))=≮⫘↔-1000001111","reverse_text":"≮⫘↔-1000001111=((⊑≮⫘↔11100110101⪭≮⫘↔101110001010)∙⊟(↨≮⫘↔101011011110⫞⩸⩒≮⫘↔101010101010))⨫⇇↔(≮⫘↔100000101101⊴≮⫘↔10000010001⪔≮⫘↔10000100101∳⫺≮⫘↔11010010100⇼⇔∾≮⫘↔1110111000010⪥≮⫘↔100101001111⋓(≮⫘↔1001000100111⨽≮⫘↔10110110010))","cot":[{"info":"≮⫘↔11100110101⪭≮⫘↔101110001010=≮⫘↔101","layer":3},{"info":"⊑≮⫘↔101=≮⫘↔11000000","layer":2},{"info":"≮⫘↔101011011110⫞⩸⩒≮⫘↔101010101010=≮⫘↔101010101010","layer":3},{"info":"↨≮⫘↔101010101010=NaN","layer":2},{"info":"≮⫘↔11000000∙⊟NaN=≮⫘↔100110101001101","layer":1},{"info":"≮⫘↔100000101101⊴≮⫘↔10000010001=NaN","layer":3},{"info":"≮⫘↔10000100101∳⫺≮⫘↔11010010100=≮⫘↔-100000100","layer":3},{"info":"NaN⪔≮⫘↔-100000100=NaN","layer":2},{"info":"≮⫘↔1110111000010⪥≮⫘↔100101001111=≮⫘↔1000100100110100","layer":3},{"info":"≮⫘↔1001000100111⨽≮⫘↔10110110010=≮⫘↔-11110111001001000111000111","layer":3},{"info":"≮⫘↔1000100100110100⋓≮⫘↔-11110111001001000111000111=≮⫘↔0","layer":2},{"info":"NaN⇼⇔∾≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔100110101001101⨫⇇↔NaN=≮⫘↔-1000001111","layer":0}]}
{"id":471,"expression_no_base_symbol":"((∜⨇$2846$)≄⊠$5002$≁$1008$⇉⇉)∘(⊥$2345$↹⊜$1288$)∌((↩⪖$1172$)∛≔)","expression":"((∜⨇≮⫘↔101100011110)≄⊠≮⫘↔1001110001010≁≮⫘↔1111110000⇉⇉)∘(⊥≮⫘↔100100101001↹⊜≮⫘↔10100001000)∌((↩⪖≮⫘↔10010010100)∛≔)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":325355,"operation_count":10,"complexity_ratio":32535.5,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2846,"base":2}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5002,"base":2},"right_expr":{"type":"numeric_atoms","value":1008,"base":2}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2345,"base":2},"right_expr":{"type":"numeric_atoms","value":1288,"base":2}}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1172,"base":2}}}}},"used_operators":["Z5m6OM72h2","diKm42VcIt","vXNesLlMH1","uFPyJr306J","8N2wDY1A35","8cLx32lpNA","Q3PJZHRvZv","9bazX3JMtO","mGnSCrte3L","fG6uBQFnGz"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","fu6greOZ01","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≮⫘↔101110110001011110010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2846","layer":4},{"info":"compute unary expreesion, input=2846, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=5002","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=1008, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=10991","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10991, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=180524","layer":2},{"info":"compute unary expreesion, input=180524, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-12260888","layer":1},{"info":"number node, value=2345","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=1288, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-558","layer":3},{"info":"compute unary expreesion, input=-558, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-555","layer":2},{"info":"number node, value=1172","layer":4},{"info":"compute unary expreesion, input=1172, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-10014","layer":3},{"info":"compute unary expreesion, input=-10014, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"compute binary expreesion, left_input=-555, right_input=-305287, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-555","layer":1},{"info":"compute binary expreesion, left_input=-12260888, right_input=-555, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=12261268","layer":0}],"base":2,"result_base":2,"text":"((∜⨇≮⫘↔101100011110)≄⊠≮⫘↔1001110001010≁≮⫘↔1111110000⇉⇉)∘(⊥≮⫘↔100100101001↹⊜≮⫘↔10100001000)∌((↩⪖≮⫘↔10010010100)∛≔)=≮⫘↔101110110001011110010100","reverse_text":"≮⫘↔101110110001011110010100=((∜⨇≮⫘↔101100011110)≄⊠≮⫘↔1001110001010≁≮⫘↔1111110000⇉⇉)∘(⊥≮⫘↔100100101001↹⊜≮⫘↔10100001000)∌((↩⪖≮⫘↔10010010100)∛≔)","cot":[{"info":"∜⨇≮⫘↔101100011110=NaN","layer":3},{"info":"≮⫘↔1001110001010≁≮⫘↔1111110000=≮⫘↔10101011101111","layer":3},{"info":"NaN≄⊠≮⫘↔10101011101111=≮⫘↔101100000100101100","layer":2},{"info":"≮⫘↔101100000100101100⇉⇉=≮⫘↔-101110110001011000011000","layer":1},{"info":"≮⫘↔100100101001↹⊜≮⫘↔10100001000=≮⫘↔-1000101110","layer":3},{"info":"⊥≮⫘↔-1000101110=≮⫘↔-1000101011","layer":2},{"info":"↩⪖≮⫘↔10010010100=≮⫘↔-10011100011110","layer":3},{"info":"≮⫘↔-10011100011110∛≔=≮⫘↔-1001010100010000111","layer":2},{"info":"≮⫘↔-1000101011∌≮⫘↔-1001010100010000111=≮⫘↔-1000101011","layer":1},{"info":"≮⫘↔-101110110001011000011000∘≮⫘↔-1000101011=≮⫘↔101110110001011110010100","layer":0}]}
{"id":472,"expression_no_base_symbol":"(⪨⨬($1045$⊴$5612$⊬⫿⊭))≬⋮(($6223$⪃⊛⇣$7714$⪹)⪑⩈)","expression":"(⪨⨬(≮⫘↔10000010101⊴≮⫘↔1010111101100⊬⫿⊭))≬⋮((≮⫘↔1100001001111⪃⊛⇣≮⫘↔1111000100010⪹)⪑⩈)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6283,"operation_count":7,"complexity_ratio":897.5714285714286,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1045,"base":2},"right_expr":{"type":"numeric_atoms","value":5612,"base":2}}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6223,"base":2},"right_expr":{"type":"numeric_atoms","value":7714,"base":2}}}}},"used_operators":["kbkesczE7y","5obUd6DV38","v0DYgG9ikt","Nsiff2A1zJ","C6VvDP6HwP","B3sABdIn96","rrgAzCduG9"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","T2fj7uvVaJ","nlCqmYiOvY","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"≮⫘↔1101100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"number node, value=5612","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=5612, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":1},{"info":"number node, value=6223","layer":4},{"info":"number node, value=7714","layer":4},{"info":"compute binary expreesion, left_input=6223, right_input=7714, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=6960","layer":2},{"info":"compute unary expreesion, input=6960, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=50310","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=50310, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":2,"result_base":2,"text":"(⪨⨬(≮⫘↔10000010101⊴≮⫘↔1010111101100⊬⫿⊭))≬⋮((≮⫘↔1100001001111⪃⊛⇣≮⫘↔1111000100010⪹)⪑⩈)=≮⫘↔1101100100","reverse_text":"≮⫘↔1101100100=(⪨⨬(≮⫘↔10000010101⊴≮⫘↔1010111101100⊬⫿⊭))≬⋮((≮⫘↔1100001001111⪃⊛⇣≮⫘↔1111000100010⪹)⪑⩈)","cot":[{"info":"≮⫘↔10000010101⊴≮⫘↔1010111101100=NaN","layer":3},{"info":"NaN⊬⫿⊭=NaN","layer":2},{"info":"⪨⨬NaN=NaN","layer":1},{"info":"≮⫘↔1100001001111⪃⊛⇣≮⫘↔1111000100010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011010010⪹=≮⫘↔1101100110000","layer":2},{"info":"≮⫘↔1101100110000⪑⩈=≮⫘↔1100010010000110","layer":1},{"info":"NaN≬⋮≮⫘↔1100010010000110=≮⫘↔1101100100","layer":0}]}
{"id":473,"expression_no_base_symbol":"(($8837$⨽$1429$)⊉↱≁($4415$∣$1048$)≄⊠($1592$⊠≄⫣)⊲⩕⊾($4306$⇌⫙⪟$2610$))∳⫺(⇠(($6318$↡⊰⫅$5394$)⩷∴($8620$⫲≸⪮$4369$)))","expression":"((≮⫘↔10001010000101⨽≮⫘↔10110010101)⊉↱≁(≮⫘↔1000100111111∣≮⫘↔10000011000)≄⊠(≮⫘↔11000111000⊠≄⫣)⊲⩕⊾(≮⫘↔1000011010010⇌⫙⪟≮⫘↔101000110010))∳⫺(⇠((≮⫘↔1100010101110↡⊰⫅≮⫘↔1010100010010)⩷∴(≮⫘↔10000110101100⫲≸⪮≮⫘↔1000100010001)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":93193,"operation_count":12,"complexity_ratio":7766.083333333333,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8837,"base":2},"right_expr":{"type":"numeric_atoms","value":1429,"base":2}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4415,"base":2},"right_expr":{"type":"numeric_atoms","value":1048,"base":2}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1592,"base":2}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4306,"base":2},"right_expr":{"type":"numeric_atoms","value":2610,"base":2}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":6318,"base":2},"right_expr":{"type":"numeric_atoms","value":5394,"base":2}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":8620,"base":2},"right_expr":{"type":"numeric_atoms","value":4369,"base":2}}}}},"used_operators":["AzXXKTstlj","vXNesLlMH1","w2P8NbNXyL","8HhzD0ZcuI","PPChnnnBFF","DmTXOeWf9t","DIvbN7qnHd","AFVx7xoS7T","18saOjeKKm","9FxExcQeMw","VCtxkLNOzz","P3lXMJvFrc"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≮⫘↔-100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8837","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=8837, right_input=1429, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-234280680","layer":3},{"info":"number node, value=4415","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=4415, right_input=1048, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4415","layer":3},{"info":"compute binary expreesion, left_input=-234280680, right_input=4415, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-inf","layer":2},{"info":"number node, value=1592","layer":4},{"info":"compute unary expreesion, input=1592, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4306","layer":4},{"info":"number node, value=2610","layer":4},{"info":"compute binary expreesion, left_input=4306, right_input=2610, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=2240","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=2240, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=40508","layer":1},{"info":"number node, value=6318","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=6318, right_input=5394, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10788","layer":3},{"info":"number node, value=8620","layer":4},{"info":"number node, value=4369","layer":4},{"info":"compute binary expreesion, left_input=8620, right_input=4369, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8620","layer":3},{"info":"compute binary expreesion, left_input=10788, right_input=8620, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4304","layer":2},{"info":"compute unary expreesion, input=4304, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-4062","layer":1},{"info":"compute binary expreesion, left_input=40508, right_input=-4062, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001010000101⨽≮⫘↔10110010101)⊉↱≁(≮⫘↔1000100111111∣≮⫘↔10000011000)≄⊠(≮⫘↔11000111000⊠≄⫣)⊲⩕⊾(≮⫘↔1000011010010⇌⫙⪟≮⫘↔101000110010))∳⫺(⇠((≮⫘↔1100010101110↡⊰⫅≮⫘↔1010100010010)⩷∴(≮⫘↔10000110101100⫲≸⪮≮⫘↔1000100010001)))=≮⫘↔-100000100","reverse_text":"≮⫘↔-100000100=((≮⫘↔10001010000101⨽≮⫘↔10110010101)⊉↱≁(≮⫘↔1000100111111∣≮⫘↔10000011000)≄⊠(≮⫘↔11000111000⊠≄⫣)⊲⩕⊾(≮⫘↔1000011010010⇌⫙⪟≮⫘↔101000110010))∳⫺(⇠((≮⫘↔1100010101110↡⊰⫅≮⫘↔1010100010010)⩷∴(≮⫘↔10000110101100⫲≸⪮≮⫘↔1000100010001)))","cot":[{"info":"≮⫘↔10001010000101⨽≮⫘↔10110010101=≮⫘↔-1101111101101101011011101000","layer":3},{"info":"≮⫘↔1000100111111∣≮⫘↔10000011000=≮⫘↔1000100111111","layer":3},{"info":"≮⫘↔-1101111101101101011011101000⊉↱≁≮⫘↔1000100111111=-Inf","layer":2},{"info":"≮⫘↔11000111000⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1000011010010⇌⫙⪟≮⫘↔101000110010=≮⫘↔1110001","layer":3},{"info":"≮⫘↔0⊲⩕⊾≮⫘↔1110001=≮⫘↔100011000000","layer":2},{"info":"-Inf≄⊠≮⫘↔100011000000=≮⫘↔1001111000111100","layer":1},{"info":"≮⫘↔1100010101110↡⊰⫅≮⫘↔1010100010010=≮⫘↔10101000100100","layer":3},{"info":"≮⫘↔10000110101100⫲≸⪮≮⫘↔1000100010001=≮⫘↔10000110101100","layer":3},{"info":"≮⫘↔10101000100100⩷∴≮⫘↔10000110101100=≮⫘↔1000011010000","layer":2},{"info":"⇠≮⫘↔1000011010000=≮⫘↔-111111011110","layer":1},{"info":"≮⫘↔1001111000111100∳⫺≮⫘↔-111111011110=≮⫘↔-100000100","layer":0}]}
{"id":474,"expression_no_base_symbol":"(($1132$⫔⩽⩺$1004$)∛≔)∌↝(($1509$↺$5099$)⇷$1258$∌$1246$)∛≔","expression":"((≮⫘↔10001101100⫔⩽⩺≮⫘↔1111101100)∛≔)∌↝((≮⫘↔10111100101↺≮⫘↔1001111101011)⇷≮⫘↔10011101010∌≮⫘↔10011011110)∛≔","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":71758,"operation_count":7,"complexity_ratio":10251.142857142857,"tree":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1132,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1509,"base":2},"right_expr":{"type":"numeric_atoms","value":5099,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1258,"base":2},"right_expr":{"type":"numeric_atoms","value":1246,"base":2}}}}},"used_operators":["mGnSCrte3L","9Isq31Ruls","i9eR4S00cU","mp7IySMOzn","7j4O788W3g","8cLx32lpNA"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=1004, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":2},{"info":"number node, value=1509","layer":4},{"info":"number node, value=5099","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=5099, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5099","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1246, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1246","layer":3},{"info":"compute binary expreesion, left_input=5099, right_input=-1246, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001101100⫔⩽⩺≮⫘↔1111101100)∛≔)∌↝((≮⫘↔10111100101↺≮⫘↔1001111101011)⇷≮⫘↔10011101010∌≮⫘↔10011011110)∛≔=NaN","reverse_text":"NaN=((≮⫘↔10001101100⫔⩽⩺≮⫘↔1111101100)∛≔)∌↝((≮⫘↔10111100101↺≮⫘↔1001111101011)⇷≮⫘↔10011101010∌≮⫘↔10011011110)∛≔","cot":[{"info":"≮⫘↔10001101100⫔⩽⩺≮⫘↔1111101100=NaN","layer":3},{"info":"NaN∛≔=NaN","layer":2},{"info":"≮⫘↔10111100101↺≮⫘↔1001111101011=≮⫘↔1001111101011","layer":3},{"info":"≮⫘↔10011101010∌≮⫘↔10011011110=≮⫘↔-10011011110","layer":3},{"info":"≮⫘↔1001111101011⇷≮⫘↔-10011011110=NaN","layer":2},{"info":"NaN∌↝NaN=NaN","layer":1},{"info":"NaN∛≔=NaN","layer":0}]}
{"id":475,"expression_no_base_symbol":"($1333$≚⊃≕$1379$)⋕⪉⪜($5233$⨱∎)⩒⫫($1992$∕⩚$2375$)≹⇙⪍(∷≠$2114$)≀⩗∶(⇖(∤↝($4213$⨚⇆$5814$)))","expression":"(≮⫘↔10100110101≚⊃≕≮⫘↔10101100011)⋕⪉⪜(≮⫘↔1010001110001⨱∎)⩒⫫(≮⫘↔11111001000∕⩚≮⫘↔100101000111)≹⇙⪍(∷≠≮⫘↔100001000010)≀⩗∶(⇖(∤↝(≮⫘↔1000001110101⨚⇆≮⫘↔1011010110110)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31684,"operation_count":11,"complexity_ratio":2880.3636363636365,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1333,"base":2},"right_expr":{"type":"numeric_atoms","value":1379,"base":2}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":5233,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1992,"base":2},"right_expr":{"type":"numeric_atoms","value":2375,"base":2}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":2114,"base":2}}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4213,"base":2},"right_expr":{"type":"numeric_atoms","value":5814,"base":2}}}}},"used_operators":["8INZBEW696","KFSx94NKJn","z6LnFrNh4i","Bmrmz2XGnR","MmTdOpaElr","AHs5Up7iyr","z9ffQ9n5Zr","QiR2Oyf5Xj","tfWHHpNKUN","3UMq87Qwqg","lwHaAYXP2r"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","tifHPKVTfV","dWAJyo7jo9","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","7j4O788W3g","2DQ55sFlQl","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1333","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1379, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=5233","layer":4},{"info":"compute unary expreesion, input=5233, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=1992","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=2375, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1995","layer":3},{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=2114","layer":3},{"info":"compute binary expreesion, left_input=-1995, right_input=2114, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=4213","layer":4},{"info":"number node, value=5814","layer":4},{"info":"compute binary expreesion, left_input=4213, right_input=5814, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100110101≚⊃≕≮⫘↔10101100011)⋕⪉⪜(≮⫘↔1010001110001⨱∎)⩒⫫(≮⫘↔11111001000∕⩚≮⫘↔100101000111)≹⇙⪍(∷≠≮⫘↔100001000010)≀⩗∶(⇖(∤↝(≮⫘↔1000001110101⨚⇆≮⫘↔1011010110110)))=NaN","reverse_text":"NaN=(≮⫘↔10100110101≚⊃≕≮⫘↔10101100011)⋕⪉⪜(≮⫘↔1010001110001⨱∎)⩒⫫(≮⫘↔11111001000∕⩚≮⫘↔100101000111)≹⇙⪍(∷≠≮⫘↔100001000010)≀⩗∶(⇖(∤↝(≮⫘↔1000001110101⨚⇆≮⫘↔1011010110110)))","cot":[{"info":"≮⫘↔10100110101≚⊃≕≮⫘↔10101100011=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1010001110001⨱∎=≮⫘↔0","layer":3},{"info":"≮⫘↔1000011⋕⪉⪜≮⫘↔0=≮⫘↔101011110010","layer":2},{"info":"≮⫘↔11111001000∕⩚≮⫘↔100101000111=≮⫘↔-11111001011","layer":3},{"info":"∷≠≮⫘↔100001000010=≮⫘↔100001000010","layer":3},{"info":"≮⫘↔-11111001011≹⇙⪍≮⫘↔100001000010=NaN","layer":2},{"info":"≮⫘↔101011110010⩒⫫NaN=NaN","layer":1},{"info":"≮⫘↔1000001110101⨚⇆≮⫘↔1011010110110=NaN","layer":3},{"info":"∤↝NaN=NaN","layer":2},{"info":"⇖NaN=≮⫘↔10100000","layer":1},{"info":"NaN≀⩗∶≮⫘↔10100000=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"((⊀$2719$)⩵∡$1180$∘$1967$/($2962$⋓$2012$)↢(⩎⋉$4638$))⩱","expression":"((⊀≮⫘↔101010011111)⩵∡≮⫘↔10010011100∘≮⫘↔11110101111/(≮⫘↔101110010010⋓≮⫘↔11111011100)↢(⩎⋉≮⫘↔1001000011110))⩱","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":184,"operation_count":8,"complexity_ratio":23.0,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2719,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1180,"base":2},"right_expr":{"type":"numeric_atoms","value":1967,"base":2}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2962,"base":2},"right_expr":{"type":"numeric_atoms","value":2012,"base":2}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4638,"base":2}}}}},"used_operators":["uyq1hVkAcj","XhwjNDsVaA","Y7wcNGrDQJ","oPMjh9089D","Z5m6OM72h2","WR6HLWljOP","T2fj7uvVaJ","FlXk3pOYe8"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","tifHPKVTfV","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"≮⫘↔-111100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2719","layer":4},{"info":"compute unary expreesion, input=2719, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=10614","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=1967, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2360","layer":3},{"info":"compute binary expreesion, left_input=10614, right_input=2360, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-18989","layer":2},{"info":"number node, value=2962","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=2012, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4638","layer":4},{"info":"compute unary expreesion, input=4638, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=-18989, right_input=-484, op_id = XhwjNDsVaA binary_op_definition= 'None', output=39","layer":1},{"info":"compute unary expreesion, input=39, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-484","layer":0}],"base":2,"result_base":2,"text":"((⊀≮⫘↔101010011111)⩵∡≮⫘↔10010011100∘≮⫘↔11110101111/(≮⫘↔101110010010⋓≮⫘↔11111011100)↢(⩎⋉≮⫘↔1001000011110))⩱=≮⫘↔-111100100","reverse_text":"≮⫘↔-111100100=((⊀≮⫘↔101010011111)⩵∡≮⫘↔10010011100∘≮⫘↔11110101111/(≮⫘↔101110010010⋓≮⫘↔11111011100)↢(⩎⋉≮⫘↔1001000011110))⩱","cot":[{"info":"⊀≮⫘↔101010011111=≮⫘↔10100101110110","layer":3},{"info":"≮⫘↔10010011100∘≮⫘↔11110101111=≮⫘↔100100111000","layer":3},{"info":"≮⫘↔10100101110110⩵∡≮⫘↔100100111000=≮⫘↔-100101000101101","layer":2},{"info":"≮⫘↔101110010010⋓≮⫘↔11111011100=≮⫘↔0","layer":3},{"info":"⩎⋉≮⫘↔1001000011110=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔0↢≮⫘↔11001110010=≮⫘↔-111100100","layer":2},{"info":"≮⫘↔-100101000101101/≮⫘↔-111100100=≮⫘↔100111","layer":1},{"info":"≮⫘↔100111⩱=≮⫘↔-111100100","layer":0}]}
{"id":477,"expression_no_base_symbol":"(($5050$∝$2958$∕⩚$2195$≳⇉$1461$)⊚⫡⫭)∀⇚≩((≯$2084$)⇡⇂($2505$⪉⨛$1203$)⇮⋭$1023$⪒⊣⊆$4544$≭($2459$⩨$2181$))","expression":"((≮⫘↔1001110111010∝≮⫘↔101110001110∕⩚≮⫘↔100010010011≳⇉≮⫘↔10110110101)⊚⫡⫭)∀⇚≩((≯≮⫘↔100000100100)⇡⇂(≮⫘↔100111001001⪉⨛≮⫘↔10010110011)⇮⋭≮⫘↔1111111111⪒⊣⊆≮⫘↔1000111000000≭(≮⫘↔100110011011⩨≮⫘↔100010000101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45222467,"operation_count":12,"complexity_ratio":3768538.9166666665,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5050,"base":2},"right_expr":{"type":"numeric_atoms","value":2958,"base":2}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2195,"base":2},"right_expr":{"type":"numeric_atoms","value":1461,"base":2}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2084,"base":2}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2505,"base":2},"right_expr":{"type":"numeric_atoms","value":1203,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1023,"base":2},"right_expr":{"type":"numeric_atoms","value":4544,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2459,"base":2},"right_expr":{"type":"numeric_atoms","value":2181,"base":2}}}}},"used_operators":["LRNGc0VcxI","SpZWOsLKZJ","z9ffQ9n5Zr","cTDWOvIxvz","V0kx6qeWkN","vkpjKywKVM","UMwdvZNt44","keWfFq85dY","EWw2JM7wp4","rxpJgHHUmx","eRqsBgTDFp","2DlMacCsIx"],"dependent_operators":["X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","g55IO6H4Gj","JLbD19bQDL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5050","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=5050, right_input=2958, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5055","layer":3},{"info":"number node, value=2195","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=1461, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5055, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=4494","layer":1},{"info":"number node, value=2084","layer":4},{"info":"compute unary expreesion, input=2084, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2505","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=2505, right_input=1203, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6527, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=219356","layer":2},{"info":"number node, value=1023","layer":4},{"info":"number node, value=4544","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=4544, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2046","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=2181, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2046, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":2},{"info":"compute binary expreesion, left_input=219356, right_input=-22, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=16621","layer":1},{"info":"compute binary expreesion, left_input=4494, right_input=16621, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001110111010∝≮⫘↔101110001110∕⩚≮⫘↔100010010011≳⇉≮⫘↔10110110101)⊚⫡⫭)∀⇚≩((≯≮⫘↔100000100100)⇡⇂(≮⫘↔100111001001⪉⨛≮⫘↔10010110011)⇮⋭≮⫘↔1111111111⪒⊣⊆≮⫘↔1000111000000≭(≮⫘↔100110011011⩨≮⫘↔100010000101))=NaN","reverse_text":"NaN=((≮⫘↔1001110111010∝≮⫘↔101110001110∕⩚≮⫘↔100010010011≳⇉≮⫘↔10110110101)⊚⫡⫭)∀⇚≩((≯≮⫘↔100000100100)⇡⇂(≮⫘↔100111001001⪉⨛≮⫘↔10010110011)⇮⋭≮⫘↔1111111111⪒⊣⊆≮⫘↔1000111000000≭(≮⫘↔100110011011⩨≮⫘↔100010000101))","cot":[{"info":"≮⫘↔1001110111010∝≮⫘↔101110001110=≮⫘↔1001110111111","layer":3},{"info":"≮⫘↔100010010011≳⇉≮⫘↔10110110101=NaN","layer":3},{"info":"≮⫘↔1001110111111∕⩚NaN=≮⫘↔-111100111","layer":2},{"info":"≮⫘↔-111100111⊚⫡⫭=≮⫘↔1000110001110","layer":1},{"info":"≯≮⫘↔100000100100=≮⫘↔0","layer":3},{"info":"≮⫘↔100111001001⪉⨛≮⫘↔10010110011=≮⫘↔1100101111111","layer":3},{"info":"≮⫘↔0⇡⇂≮⫘↔1100101111111=≮⫘↔110101100011011100","layer":2},{"info":"≮⫘↔1111111111⪒⊣⊆≮⫘↔1000111000000=≮⫘↔11111111110","layer":3},{"info":"≮⫘↔100110011011⩨≮⫘↔100010000101=≮⫘↔0","layer":3},{"info":"≮⫘↔11111111110≭≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"≮⫘↔110101100011011100⇮⋭≮⫘↔-10110=≮⫘↔100000011101101","layer":1},{"info":"≮⫘↔1000110001110∀⇚≩≮⫘↔100000011101101=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"((∜⨇$1212$)⩦($3689$≀⩗∶$1005$)∖$8547$⇻⋧≁$1809$⫰⋱(∓⪦$1201$))⩏","expression":"((∜⨇≮⫘↔10010111100)⩦(≮⫘↔111001101001≀⩗∶≮⫘↔1111101101)∖≮⫘↔10000101100011⇻⋧≁≮⫘↔11100010001⫰⋱(∓⪦≮⫘↔10010110001))⩏","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9460,"operation_count":8,"complexity_ratio":1182.5,"tree":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1212,"base":2}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3689,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":8547,"base":2},"right_expr":{"type":"numeric_atoms","value":1809,"base":2}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1201,"base":2}}}}},"used_operators":["iA2gmKZ3Wj","tXD093vOjl","0kmYd0q39Y","uFPyJr306J","8INZBEW696","6o9Blt3TJ6","jCPkEVoL5K","D309nIvmXG"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=3689","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=1005, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=8547","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=8547, right_input=1809, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=793","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=793, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=480, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((∜⨇≮⫘↔10010111100)⩦(≮⫘↔111001101001≀⩗∶≮⫘↔1111101101)∖≮⫘↔10000101100011⇻⋧≁≮⫘↔11100010001⫰⋱(∓⪦≮⫘↔10010110001))⩏=≮⫘↔0","reverse_text":"≮⫘↔0=((∜⨇≮⫘↔10010111100)⩦(≮⫘↔111001101001≀⩗∶≮⫘↔1111101101)∖≮⫘↔10000101100011⇻⋧≁≮⫘↔11100010001⫰⋱(∓⪦≮⫘↔10010110001))⩏","cot":[{"info":"∜⨇≮⫘↔10010111100=NaN","layer":3},{"info":"≮⫘↔111001101001≀⩗∶≮⫘↔1111101101=≮⫘↔0","layer":3},{"info":"NaN⩦≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10000101100011⇻⋧≁≮⫘↔11100010001=≮⫘↔-110111111","layer":3},{"info":"∓⪦≮⫘↔10010110001=≮⫘↔1100011001","layer":3},{"info":"≮⫘↔-110111111⫰⋱≮⫘↔1100011001=≮⫘↔111100000","layer":2},{"info":"NaN∖≮⫘↔111100000=≮⫘↔0","layer":1},{"info":"≮⫘↔0⩏=≮⫘↔0","layer":0}]}
{"id":479,"expression_no_base_symbol":"(⩪∧⨌(≋(⪛⨧$2748$)))↞⋁(($4356$⪃⊛⇣$1129$⩘⨬⇊)≌((⪭⩑⪱$5634$)∺≝⩲($2787$≚⊃≕$2782$)))","expression":"(⩪∧⨌(≋(⪛⨧≮⫘↔101010111100)))↞⋁((≮⫘↔1000100000100⪃⊛⇣≮⫘↔10001101001⩘⨬⇊)≌((⪭⩑⪱≮⫘↔1011000000010)∺≝⩲(≮⫘↔101011100011≚⊃≕≮⫘↔101011011110)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1656811,"operation_count":10,"complexity_ratio":165681.1,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2748,"base":2}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4356,"base":2},"right_expr":{"type":"numeric_atoms","value":1129,"base":2}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":5634,"base":2}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2787,"base":2},"right_expr":{"type":"numeric_atoms","value":2782,"base":2}}}}},"used_operators":["RqrPlJkxDo","6iOiAJX1F8","61wBmkZwlr","6NJAcO2OWT","lyWz822IDG","XXmTpEpWTW","rrgAzCduG9","KPf6cnQVty","SIgE0bArFf","Bmrmz2XGnR"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","7j4O788W3g","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2748","layer":4},{"info":"compute unary expreesion, input=2748, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6897","layer":3},{"info":"compute unary expreesion, input=6897, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=6897","layer":2},{"info":"compute unary expreesion, input=6897, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=68970","layer":1},{"info":"number node, value=4356","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=1129, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"number node, value=5634","layer":4},{"info":"compute unary expreesion, input=5634, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=2787","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=2787, right_input=2782, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=67, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9732","layer":1},{"info":"compute binary expreesion, left_input=68970, right_input=9732, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩪∧⨌(≋(⪛⨧≮⫘↔101010111100)))↞⋁((≮⫘↔1000100000100⪃⊛⇣≮⫘↔10001101001⩘⨬⇊)≌((⪭⩑⪱≮⫘↔1011000000010)∺≝⩲(≮⫘↔101011100011≚⊃≕≮⫘↔101011011110)))=NaN","reverse_text":"NaN=(⩪∧⨌(≋(⪛⨧≮⫘↔101010111100)))↞⋁((≮⫘↔1000100000100⪃⊛⇣≮⫘↔10001101001⩘⨬⇊)≌((⪭⩑⪱≮⫘↔1011000000010)∺≝⩲(≮⫘↔101011100011≚⊃≕≮⫘↔101011011110)))","cot":[{"info":"⪛⨧≮⫘↔101010111100=≮⫘↔1101011110001","layer":3},{"info":"≋≮⫘↔1101011110001=≮⫘↔1101011110001","layer":2},{"info":"⩪∧⨌≮⫘↔1101011110001=≮⫘↔10000110101101010","layer":1},{"info":"≮⫘↔1000100000100⪃⊛⇣≮⫘↔10001101001=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011010010⩘⨬⇊=NaN","layer":2},{"info":"⪭⩑⪱≮⫘↔1011000000010=≮⫘↔11111101111011011110000","layer":3},{"info":"≮⫘↔101011100011≚⊃≕≮⫘↔101011011110=≮⫘↔1000011","layer":3},{"info":"≮⫘↔11111101111011011110000∺≝⩲≮⫘↔1000011=≮⫘↔10100000","layer":2},{"info":"NaN≌≮⫘↔10100000=≮⫘↔10011000000100","layer":1},{"info":"≮⫘↔10000110101101010↞⋁≮⫘↔10011000000100=NaN","layer":0}]}
{"id":480,"expression_no_base_symbol":"(≅≯⇸$7989$⪍↜⋙$1067$)⫁((⇺⋃$2934$)⩵∡$2744$⪝$2416$)+⇶⊼((⩷⨜⫀$6659$)⊭↱($1728$≋⫹))∊∟⩊($2213$⫁⪎$1222$∌↝($1391$⊔$1665$))","expression":"(≅≯⇸≮⫘↔1111100110101⪍↜⋙≮⫘↔10000101011)⫁((⇺⋃≮⫘↔101101110110)⩵∡≮⫘↔101010111000⪝≮⫘↔100101110000)+⇶⊼((⩷⨜⫀≮⫘↔1101000000011)⊭↱(≮⫘↔11011000000≋⫹))∊∟⩊(≮⫘↔100010100101⫁⪎≮⫘↔10011000110∌↝(≮⫘↔10101101111⊔≮⫘↔11010000001))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":762,"operation_count":14,"complexity_ratio":54.42857142857143,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":7989,"base":2},"right_expr":{"type":"numeric_atoms","value":1067,"base":2}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2934,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2744,"base":2},"right_expr":{"type":"numeric_atoms","value":2416,"base":2}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":6659,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1728,"base":2}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2213,"base":2},"right_expr":{"type":"numeric_atoms","value":1222,"base":2}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1391,"base":2},"right_expr":{"type":"numeric_atoms","value":1665,"base":2}}}}},"used_operators":["TpPTUOHfaN","0ajvFaJAv0","apS25hmuAe","L05ObWFQCd","Y7wcNGrDQJ","E5v5B3UAjG","wicAB68Tmb","ddLRYrp01A","COABgblf1C","CDi0ktkjQ4","N41Kp7NANJ","9Isq31Ruls","xRrnTEsQ6j","E4l6HwMY31"],"dependent_operators":["AHs5Up7iyr","cHh1gJQ2o6","AHs5Up7iyr","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7989","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=7989, right_input=1067, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=13844","layer":3},{"info":"compute unary expreesion, input=13844, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=63053","layer":2},{"info":"number node, value=2934","layer":4},{"info":"compute unary expreesion, input=2934, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=2744","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=2416, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1711","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1711, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=63053, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=6659","layer":4},{"info":"compute unary expreesion, input=6659, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-6386","layer":3},{"info":"number node, value=1728","layer":4},{"info":"compute unary expreesion, input=1728, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3456","layer":3},{"info":"compute binary expreesion, left_input=-6386, right_input=-3456, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5865","layer":2},{"info":"number node, value=2213","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=1222, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=991","layer":3},{"info":"number node, value=1391","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=1665, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=8707","layer":3},{"info":"compute binary expreesion, left_input=991, right_input=8707, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5865, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":0}],"base":2,"result_base":2,"text":"(≅≯⇸≮⫘↔1111100110101⪍↜⋙≮⫘↔10000101011)⫁((⇺⋃≮⫘↔101101110110)⩵∡≮⫘↔101010111000⪝≮⫘↔100101110000)+⇶⊼((⩷⨜⫀≮⫘↔1101000000011)⊭↱(≮⫘↔11011000000≋⫹))∊∟⩊(≮⫘↔100010100101⫁⪎≮⫘↔10011000110∌↝(≮⫘↔10101101111⊔≮⫘↔11010000001))=≮⫘↔0","reverse_text":"≮⫘↔0=(≅≯⇸≮⫘↔1111100110101⪍↜⋙≮⫘↔10000101011)⫁((⇺⋃≮⫘↔101101110110)⩵∡≮⫘↔101010111000⪝≮⫘↔100101110000)+⇶⊼((⩷⨜⫀≮⫘↔1101000000011)⊭↱(≮⫘↔11011000000≋⫹))∊∟⩊(≮⫘↔100010100101⫁⪎≮⫘↔10011000110∌↝(≮⫘↔10101101111⊔≮⫘↔11010000001))","cot":[{"info":"≮⫘↔1111100110101⪍↜⋙≮⫘↔10000101011=≮⫘↔11011000010100","layer":3},{"info":"≅≯⇸≮⫘↔11011000010100=≮⫘↔1111011001001101","layer":2},{"info":"⇺⋃≮⫘↔101101110110=NaN","layer":3},{"info":"≮⫘↔101010111000⪝≮⫘↔100101110000=≮⫘↔-11010101111","layer":3},{"info":"NaN⩵∡≮⫘↔-11010101111=NaN","layer":2},{"info":"≮⫘↔1111011001001101⫁NaN=≮⫘↔10100000","layer":1},{"info":"⩷⨜⫀≮⫘↔1101000000011=≮⫘↔-1100011110010","layer":3},{"info":"≮⫘↔11011000000≋⫹=≮⫘↔-110110000000","layer":3},{"info":"≮⫘↔-1100011110010⊭↱≮⫘↔-110110000000=≮⫘↔1011011101001","layer":2},{"info":"≮⫘↔100010100101⫁⪎≮⫘↔10011000110=≮⫘↔1111011111","layer":3},{"info":"≮⫘↔10101101111⊔≮⫘↔11010000001=≮⫘↔10001000000011","layer":3},{"info":"≮⫘↔1111011111∌↝≮⫘↔10001000000011=≮⫘↔0","layer":2},{"info":"≮⫘↔1011011101001∊∟⩊≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10100000+⇶⊼≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":481,"expression_no_base_symbol":"(((∮$3562$)%$1111$⫘$9333$)≎⊠⪸($2103$⨐⩸⫘$6197$⪐))∑⇟⊟(⋗⩬⋾$1081$)≹⇙⪍$4957$∴$1832$⨪↰⇹(($2799$↫)≧⫂∧($5053$⪁$2541$))","expression":"(((∮≮⫘↔110111101010)%≮⫘↔10001010111⫘≮⫘↔10010001110101)≎⊠⪸(≮⫘↔100000110111⨐⩸⫘≮⫘↔1100000110101⪐))∑⇟⊟(⋗⩬⋾≮⫘↔10000111001)≹⇙⪍≮⫘↔1001101011101∴≮⫘↔11100101000⨪↰⇹((≮⫘↔101011101111↫)≧⫂∧(≮⫘↔1001110111101⪁≮⫘↔100111101101))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8685646,"operation_count":14,"complexity_ratio":620403.2857142857,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":3562,"base":2}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1111,"base":2},"right_expr":{"type":"numeric_atoms","value":9333,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2103,"base":2},"right_expr":{"type":"numeric_atoms","value":6197,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1081,"base":2}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4957,"base":2},"right_expr":{"type":"numeric_atoms","value":1832,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":2799,"base":2}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5053,"base":2},"right_expr":{"type":"numeric_atoms","value":2541,"base":2}}}}},"used_operators":["U7g4x0WXJJ","bJkvcejdHO","k8jYdgA6NY","CqXKPLVYql","48vC8HMD2b","eH2TOUuTDT","fu6greOZ01","tmPS8pqC7x","AHs5Up7iyr","DpFCA1CohY","hrf7POJlIJ","Ph9nP6C5qx","uPb5QRN0te","I7sXao9hZE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rJVOvQCfKK","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3562","layer":4},{"info":"compute unary expreesion, input=3562, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=9333","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=9333, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1310941","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1310941, op_id = k8jYdgA6NY binary_op_definition= 'None', output=67","layer":2},{"info":"number node, value=2103","layer":4},{"info":"number node, value=6197","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=6197, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3243","layer":3},{"info":"number node, value=4957","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=1832, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11562","layer":3},{"info":"compute binary expreesion, left_input=-3243, right_input=11562, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2799","layer":4},{"info":"compute unary expreesion, input=2799, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=5053","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=5053, right_input=2541, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((∮≮⫘↔110111101010)%≮⫘↔10001010111⫘≮⫘↔10010001110101)≎⊠⪸(≮⫘↔100000110111⨐⩸⫘≮⫘↔1100000110101⪐))∑⇟⊟(⋗⩬⋾≮⫘↔10000111001)≹⇙⪍≮⫘↔1001101011101∴≮⫘↔11100101000⨪↰⇹((≮⫘↔101011101111↫)≧⫂∧(≮⫘↔1001110111101⪁≮⫘↔100111101101))=NaN","reverse_text":"NaN=(((∮≮⫘↔110111101010)%≮⫘↔10001010111⫘≮⫘↔10010001110101)≎⊠⪸(≮⫘↔100000110111⨐⩸⫘≮⫘↔1100000110101⪐))∑⇟⊟(⋗⩬⋾≮⫘↔10000111001)≹⇙⪍≮⫘↔1001101011101∴≮⫘↔11100101000⨪↰⇹((≮⫘↔101011101111↫)≧⫂∧(≮⫘↔1001110111101⪁≮⫘↔100111101101))","cot":[{"info":"∮≮⫘↔110111101010=≮⫘↔1000011","layer":3},{"info":"≮⫘↔10001010111⫘≮⫘↔10010001110101=≮⫘↔101000000000011011101","layer":3},{"info":"≮⫘↔1000011%≮⫘↔101000000000011011101=≮⫘↔1000011","layer":2},{"info":"≮⫘↔100000110111⨐⩸⫘≮⫘↔1100000110101=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"≮⫘↔1000011≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"⋗⩬⋾≮⫘↔10000111001=≮⫘↔-110010101011","layer":3},{"info":"≮⫘↔1001101011101∴≮⫘↔11100101000=≮⫘↔10110100101010","layer":3},{"info":"≮⫘↔-110010101011≹⇙⪍≮⫘↔10110100101010=NaN","layer":2},{"info":"≮⫘↔101011101111↫=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1001110111101⪁≮⫘↔100111101101=NaN","layer":3},{"info":"≮⫘↔10100000≧⫂∧NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"≮⫘↔1000011∑⇟⊟NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"(($3945$≁↽≥$1389$/(∮$2775$))⫸⊐$1048$⪔⊥$7419$⩁⩘(⩷⨜⫀$8349$))↙((($7032$↡⊰⫅$1994$)⩚⊴⇥(⊀$8538$))⫑)","expression":"((≮⫘↔111101101001≁↽≥≮⫘↔10101101101/(∮≮⫘↔101011010111))⫸⊐≮⫘↔10000011000⪔⊥≮⫘↔1110011111011⩁⩘(⩷⨜⫀≮⫘↔10000010011101))↙(((≮⫘↔1101101111000↡⊰⫅≮⫘↔11111001010)⩚⊴⇥(⊀≮⫘↔10000101011010))⫑)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29243,"operation_count":12,"complexity_ratio":2436.9166666666665,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3945,"base":2},"right_expr":{"type":"numeric_atoms","value":1389,"base":2}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2775,"base":2}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1048,"base":2},"right_expr":{"type":"numeric_atoms","value":7419,"base":2}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":8349,"base":2}}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":7032,"base":2},"right_expr":{"type":"numeric_atoms","value":1994,"base":2}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":8538,"base":2}}}}},"used_operators":["yyfyN0ffXY","mqXw5SEYmG","XhwjNDsVaA","ncHt1X6cMc","CqXKPLVYql","gub5Cegaqo","HJ9erzHUuu","CDi0ktkjQ4","CgIo77xlM2","NTOWxs364D","VCtxkLNOzz","oPMjh9089D"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","ruOEQAzv1W","nhYeJWJD5X","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"≮⫘↔-1111010101111001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3945","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=1389, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=58351","layer":3},{"info":"number node, value=2775","layer":4},{"info":"compute unary expreesion, input=2775, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=58351, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=870","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=7419","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=7419, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-10845","layer":3},{"info":"number node, value=8349","layer":4},{"info":"compute unary expreesion, input=8349, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-8076","layer":3},{"info":"compute binary expreesion, left_input=-10845, right_input=-8076, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-31356","layer":2},{"info":"compute binary expreesion, left_input=870, right_input=-31356, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-62841","layer":1},{"info":"number node, value=7032","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=7032, right_input=1994, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3988","layer":3},{"info":"number node, value=8538","layer":4},{"info":"compute unary expreesion, input=8538, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=33890","layer":3},{"info":"compute binary expreesion, left_input=3988, right_input=33890, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-37999","layer":2},{"info":"compute unary expreesion, input=-37999, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=-62841, right_input=-480, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-62841","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111101101001≁↽≥≮⫘↔10101101101/(∮≮⫘↔101011010111))⫸⊐≮⫘↔10000011000⪔⊥≮⫘↔1110011111011⩁⩘(⩷⨜⫀≮⫘↔10000010011101))↙(((≮⫘↔1101101111000↡⊰⫅≮⫘↔11111001010)⩚⊴⇥(⊀≮⫘↔10000101011010))⫑)=≮⫘↔-1111010101111001","reverse_text":"≮⫘↔-1111010101111001=((≮⫘↔111101101001≁↽≥≮⫘↔10101101101/(∮≮⫘↔101011010111))⫸⊐≮⫘↔10000011000⪔⊥≮⫘↔1110011111011⩁⩘(⩷⨜⫀≮⫘↔10000010011101))↙(((≮⫘↔1101101111000↡⊰⫅≮⫘↔11111001010)⩚⊴⇥(⊀≮⫘↔10000101011010))⫑)","cot":[{"info":"≮⫘↔111101101001≁↽≥≮⫘↔10101101101=≮⫘↔1110001111101111","layer":3},{"info":"∮≮⫘↔101011010111=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1110001111101111/≮⫘↔1000011=≮⫘↔1101100110","layer":2},{"info":"≮⫘↔10000011000⪔⊥≮⫘↔1110011111011=≮⫘↔-10101001011101","layer":3},{"info":"⩷⨜⫀≮⫘↔10000010011101=≮⫘↔-1111110001100","layer":3},{"info":"≮⫘↔-10101001011101⩁⩘≮⫘↔-1111110001100=≮⫘↔-111101001111100","layer":2},{"info":"≮⫘↔1101100110⫸⊐≮⫘↔-111101001111100=≮⫘↔-1111010101111001","layer":1},{"info":"≮⫘↔1101101111000↡⊰⫅≮⫘↔11111001010=≮⫘↔111110010100","layer":3},{"info":"⊀≮⫘↔10000101011010=≮⫘↔1000010001100010","layer":3},{"info":"≮⫘↔111110010100⩚⊴⇥≮⫘↔1000010001100010=≮⫘↔-1001010001101111","layer":2},{"info":"≮⫘↔-1001010001101111⫑=≮⫘↔-111100000","layer":1},{"info":"≮⫘↔-1111010101111001↙≮⫘↔-111100000=≮⫘↔-1111010101111001","layer":0}]}
{"id":483,"expression_no_base_symbol":"($2043$⫞⩸⩒$1715$⪨⊡($6268$≬⋮$1819$)∝($4771$⇻⋧≁$1396$⩨(∟⋨$1212$)))⊎←↗","expression":"(≮⫘↔11111111011⫞⩸⩒≮⫘↔11010110011⪨⊡(≮⫘↔1100001111100≬⋮≮⫘↔11100011011)∝(≮⫘↔1001010100011⇻⋧≁≮⫘↔10101110100⩨(∟⋨≮⫘↔10010111100)))⊎←↗","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6076,"operation_count":8,"complexity_ratio":759.5,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2043,"base":2},"right_expr":{"type":"numeric_atoms","value":1715,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":6268,"base":2},"right_expr":{"type":"numeric_atoms","value":1819,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4771,"base":2},"right_expr":{"type":"numeric_atoms","value":1396,"base":2}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1212,"base":2}}}}},"used_operators":["dwb5p0fa6d","cTDWOvIxvz","kuIXHzHcAH","XGcMNugi78","kbkesczE7y","2DlMacCsIx","jCPkEVoL5K","ctOc4cKSDt"],"dependent_operators":["sdazOOVcIp","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","tmPS8pqC7x"],"result":"≮⫘↔1010100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2043","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=1715, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1715","layer":3},{"info":"number node, value=6268","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=6268, right_input=1819, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1715, right_input=868, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=4771","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=4771, right_input=1396, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-728","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-728, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5","layer":1},{"info":"compute unary expreesion, input=5, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=675","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11111111011⫞⩸⩒≮⫘↔11010110011⪨⊡(≮⫘↔1100001111100≬⋮≮⫘↔11100011011)∝(≮⫘↔1001010100011⇻⋧≁≮⫘↔10101110100⩨(∟⋨≮⫘↔10010111100)))⊎←↗=≮⫘↔1010100011","reverse_text":"≮⫘↔1010100011=(≮⫘↔11111111011⫞⩸⩒≮⫘↔11010110011⪨⊡(≮⫘↔1100001111100≬⋮≮⫘↔11100011011)∝(≮⫘↔1001010100011⇻⋧≁≮⫘↔10101110100⩨(∟⋨≮⫘↔10010111100)))⊎←↗","cot":[{"info":"≮⫘↔11111111011⫞⩸⩒≮⫘↔11010110011=≮⫘↔11010110011","layer":3},{"info":"≮⫘↔1100001111100≬⋮≮⫘↔11100011011=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔11010110011⪨⊡≮⫘↔1101100100=≮⫘↔0","layer":2},{"info":"≮⫘↔1001010100011⇻⋧≁≮⫘↔10101110100=≮⫘↔-110111111","layer":3},{"info":"∟⋨≮⫘↔10010111100=≮⫘↔-1011011000","layer":3},{"info":"≮⫘↔-110111111⩨≮⫘↔-1011011000=≮⫘↔-11","layer":2},{"info":"≮⫘↔0∝≮⫘↔-11=≮⫘↔101","layer":1},{"info":"≮⫘↔101⊎←↗=≮⫘↔1010100011","layer":0}]}
{"id":484,"expression_no_base_symbol":"((⨰⫟⨤($2332$⩚⊴⇥$3198$))⋥≓≎($1112$≀⩗∶$2240$)⫁⪎(⫟$2220$))⫣⪄⊒(($3797$∖$3382$)≥⨤⩑$6644$⪟⇏$6365$)⨸($1240$⊝⪿⪼$1769$∠↢$1618$⋝⋈⪟$4951$)","expression":"((⨰⫟⨤(≮⫘↔100100011100⩚⊴⇥≮⫘↔110001111110))⋥≓≎(≮⫘↔10001011000≀⩗∶≮⫘↔100011000000)⫁⪎(⫟≮⫘↔100010101100))⫣⪄⊒((≮⫘↔111011010101∖≮⫘↔110100110110)≥⨤⩑≮⫘↔1100111110100⪟⇏≮⫘↔1100011011101)⨸(≮⫘↔10011011000⊝⪿⪼≮⫘↔11011101001∠↢≮⫘↔11001010010⋝⋈⪟≮⫘↔1001101010111)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25457,"operation_count":14,"complexity_ratio":1818.357142857143,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2332,"base":2},"right_expr":{"type":"numeric_atoms","value":3198,"base":2}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1112,"base":2},"right_expr":{"type":"numeric_atoms","value":2240,"base":2}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2220,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3797,"base":2},"right_expr":{"type":"numeric_atoms","value":3382,"base":2}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6644,"base":2},"right_expr":{"type":"numeric_atoms","value":6365,"base":2}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1240,"base":2},"right_expr":{"type":"numeric_atoms","value":1769,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1618,"base":2},"right_expr":{"type":"numeric_atoms","value":4951,"base":2}}}}},"used_operators":["RabNbG55vr","Qy55tPpLXF","Tw270M8GLb","NTOWxs364D","xRrnTEsQ6j","8INZBEW696","z4E1FaHLuy","KmoU8R5UQR","gJLn6v0xnP","tXD093vOjl","GODebY97qR","KbjG8mgYpV","3Oe9XWJUTD","2DDjHMKMc0"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-11101101010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2332","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=3198, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5651","layer":3},{"info":"compute unary expreesion, input=-5651, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1112","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=2240, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"number node, value=2220","layer":4},{"info":"compute unary expreesion, input=2220, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-5753","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-5753, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5747","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5747, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=3797","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=3797, right_input=3382, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=6644","layer":4},{"info":"number node, value=6365","layer":4},{"info":"compute binary expreesion, left_input=6644, right_input=6365, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1240","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1769, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=28532","layer":3},{"info":"number node, value=1618","layer":4},{"info":"number node, value=4951","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=4951, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1618","layer":3},{"info":"compute binary expreesion, left_input=28532, right_input=1618, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-135698","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-135698, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2468","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=2468, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-15186","layer":0}],"base":2,"result_base":2,"text":"((⨰⫟⨤(≮⫘↔100100011100⩚⊴⇥≮⫘↔110001111110))⋥≓≎(≮⫘↔10001011000≀⩗∶≮⫘↔100011000000)⫁⪎(⫟≮⫘↔100010101100))⫣⪄⊒((≮⫘↔111011010101∖≮⫘↔110100110110)≥⨤⩑≮⫘↔1100111110100⪟⇏≮⫘↔1100011011101)⨸(≮⫘↔10011011000⊝⪿⪼≮⫘↔11011101001∠↢≮⫘↔11001010010⋝⋈⪟≮⫘↔1001101010111)=≮⫘↔-11101101010010","reverse_text":"≮⫘↔-11101101010010=((⨰⫟⨤(≮⫘↔100100011100⩚⊴⇥≮⫘↔110001111110))⋥≓≎(≮⫘↔10001011000≀⩗∶≮⫘↔100011000000)⫁⪎(⫟≮⫘↔100010101100))⫣⪄⊒((≮⫘↔111011010101∖≮⫘↔110100110110)≥⨤⩑≮⫘↔1100111110100⪟⇏≮⫘↔1100011011101)⨸(≮⫘↔10011011000⊝⪿⪼≮⫘↔11011101001∠↢≮⫘↔11001010010⋝⋈⪟≮⫘↔1001101010111)","cot":[{"info":"≮⫘↔100100011100⩚⊴⇥≮⫘↔110001111110=≮⫘↔-1011000010011","layer":3},{"info":"⨰⫟⨤≮⫘↔-1011000010011=NaN","layer":2},{"info":"≮⫘↔10001011000≀⩗∶≮⫘↔100011000000=≮⫘↔-110","layer":3},{"info":"⫟≮⫘↔100010101100=≮⫘↔-1011001111001","layer":3},{"info":"≮⫘↔-110⫁⪎≮⫘↔-1011001111001=≮⫘↔1011001110011","layer":2},{"info":"NaN⋥≓≎≮⫘↔1011001110011=≮⫘↔1000011","layer":1},{"info":"≮⫘↔111011010101∖≮⫘↔110100110110=≮⫘↔0","layer":3},{"info":"≮⫘↔1100111110100⪟⇏≮⫘↔1100011011101=≮⫘↔-1","layer":3},{"info":"≮⫘↔0≥⨤⩑≮⫘↔-1=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔10011011000⊝⪿⪼≮⫘↔11011101001=≮⫘↔110111101110100","layer":3},{"info":"≮⫘↔11001010010⋝⋈⪟≮⫘↔1001101010111=≮⫘↔11001010010","layer":3},{"info":"≮⫘↔110111101110100∠↢≮⫘↔11001010010=≮⫘↔-100001001000010010","layer":2},{"info":"≮⫘↔10011010010⨸≮⫘↔-100001001000010010=≮⫘↔100110100100","layer":1},{"info":"≮⫘↔1000011⫣⪄⊒≮⫘↔100110100100=≮⫘↔-11101101010010","layer":0}]}
{"id":485,"expression_no_base_symbol":"(⩒∊(($2557$⊦⊿)⩺⪪($1682$⫩)))⪔(($2185$∝$1289$)≃$5239$∘$2455$⊨(($1114$⇪⋭)⫰⋱($4919$≫≃)))","expression":"(⩒∊((≮⫘↔100111111101⊦⊿)⩺⪪(≮⫘↔11010010010⫩)))⪔((≮⫘↔100010001001∝≮⫘↔10100001001)≃≮⫘↔1010001110111∘≮⫘↔100110010111⊨((≮⫘↔10001011010⇪⋭)⫰⋱(≮⫘↔1001100110111≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1963,"operation_count":12,"complexity_ratio":163.58333333333334,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2557,"base":2}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1682,"base":2}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2185,"base":2},"right_expr":{"type":"numeric_atoms","value":1289,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5239,"base":2},"right_expr":{"type":"numeric_atoms","value":2455,"base":2}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1114,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4919,"base":2}}}}},"used_operators":["GjBEYRfMaF","qazvmhNBbN","uvdQJvN4PV","14qkJME0vr","6aG7x05OhS","vg4gO5BX6G","YbVcJGFEVW","cTDWOvIxvz","Z5m6OM72h2","6o9Blt3TJ6","Z8Yg6dlDSp","X99M06cbEe"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7750","layer":3},{"info":"number node, value=1682","layer":4},{"info":"compute unary expreesion, input=1682, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7750, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":1},{"info":"number node, value=2185","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=1289, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2190","layer":3},{"info":"number node, value=5239","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=5239, right_input=2455, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=10478","layer":3},{"info":"compute binary expreesion, left_input=2190, right_input=10478, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-8800","layer":2},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=4919","layer":4},{"info":"compute unary expreesion, input=4919, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11239","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11239, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8800, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩒∊((≮⫘↔100111111101⊦⊿)⩺⪪(≮⫘↔11010010010⫩)))⪔((≮⫘↔100010001001∝≮⫘↔10100001001)≃≮⫘↔1010001110111∘≮⫘↔100110010111⊨((≮⫘↔10001011010⇪⋭)⫰⋱(≮⫘↔1001100110111≫≃)))=NaN","reverse_text":"NaN=(⩒∊((≮⫘↔100111111101⊦⊿)⩺⪪(≮⫘↔11010010010⫩)))⪔((≮⫘↔100010001001∝≮⫘↔10100001001)≃≮⫘↔1010001110111∘≮⫘↔100110010111⊨((≮⫘↔10001011010⇪⋭)⫰⋱(≮⫘↔1001100110111≫≃)))","cot":[{"info":"≮⫘↔100111111101⊦⊿=≮⫘↔-1111001000110","layer":3},{"info":"≮⫘↔11010010010⫩=NaN","layer":3},{"info":"≮⫘↔-1111001000110⩺⪪NaN=NaN","layer":2},{"info":"⩒∊NaN=NaN","layer":1},{"info":"≮⫘↔100010001001∝≮⫘↔10100001001=≮⫘↔100010001110","layer":3},{"info":"≮⫘↔1010001110111∘≮⫘↔100110010111=≮⫘↔10100011101110","layer":3},{"info":"≮⫘↔100010001110≃≮⫘↔10100011101110=≮⫘↔-10001001100000","layer":2},{"info":"≮⫘↔10001011010⇪⋭=NaN","layer":3},{"info":"≮⫘↔1001100110111≫≃=≮⫘↔10101111100111","layer":3},{"info":"NaN⫰⋱≮⫘↔10101111100111=NaN","layer":2},{"info":"≮⫘↔-10001001100000⊨NaN=NaN","layer":1},{"info":"NaN⪔NaN=NaN","layer":0}]}
{"id":486,"expression_no_base_symbol":"(∷≠($3819$⨐⩸⫘$4937$))⊮⊟↴((∡$1763$)↞⋁$1109$⫗⊷⫓$6242$)⩷∴((↽≂$1234$⪡$4586$)≥⨤⩑(≅≯⇸$7448$⋝⋈⪟$7131$))","expression":"(∷≠(≮⫘↔111011101011⨐⩸⫘≮⫘↔1001101001001))⊮⊟↴((∡≮⫘↔11011100011)↞⋁≮⫘↔10001010101⫗⊷⫓≮⫘↔1100001100010)⩷∴((↽≂≮⫘↔10011010010⪡≮⫘↔1000111101010)≥⨤⩑(≅≯⇸≮⫘↔1110100011000⋝⋈⪟≮⫘↔1101111011011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":925,"operation_count":12,"complexity_ratio":77.08333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3819,"base":2},"right_expr":{"type":"numeric_atoms","value":4937,"base":2}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1763,"base":2}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1109,"base":2},"right_expr":{"type":"numeric_atoms","value":6242,"base":2}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1234,"base":2},"right_expr":{"type":"numeric_atoms","value":4586,"base":2}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7448,"base":2},"right_expr":{"type":"numeric_atoms","value":7131,"base":2}}}}},"used_operators":["9FxExcQeMw","QDVgd2eftb","QiR2Oyf5Xj","fu6greOZ01","RqrPlJkxDo","pRsWfj4Fpp","zashukvMKz","gJLn6v0xnP","u6S6b8DprG","oraRL2iQuh","apS25hmuAe","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","7j4O788W3g","3ViojmjbAp","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3819","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=4937, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":2},{"info":"number node, value=1763","layer":4},{"info":"compute unary expreesion, input=1763, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1763","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=6242","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=6242, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-1763, right_input=-134, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"number node, value=1234","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=4586, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-214","layer":2},{"info":"number node, value=7448","layer":4},{"info":"number node, value=7131","layer":4},{"info":"compute binary expreesion, left_input=7448, right_input=7131, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7448","layer":3},{"info":"compute unary expreesion, input=7448, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=37469","layer":2},{"info":"compute binary expreesion, left_input=-214, right_input=37469, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∷≠(≮⫘↔111011101011⨐⩸⫘≮⫘↔1001101001001))⊮⊟↴((∡≮⫘↔11011100011)↞⋁≮⫘↔10001010101⫗⊷⫓≮⫘↔1100001100010)⩷∴((↽≂≮⫘↔10011010010⪡≮⫘↔1000111101010)≥⨤⩑(≅≯⇸≮⫘↔1110100011000⋝⋈⪟≮⫘↔1101111011011))=NaN","reverse_text":"NaN=(∷≠(≮⫘↔111011101011⨐⩸⫘≮⫘↔1001101001001))⊮⊟↴((∡≮⫘↔11011100011)↞⋁≮⫘↔10001010101⫗⊷⫓≮⫘↔1100001100010)⩷∴((↽≂≮⫘↔10011010010⪡≮⫘↔1000111101010)≥⨤⩑(≅≯⇸≮⫘↔1110100011000⋝⋈⪟≮⫘↔1101111011011))","cot":[{"info":"≮⫘↔111011101011⨐⩸⫘≮⫘↔1001101001001=NaN","layer":3},{"info":"∷≠NaN=NaN","layer":2},{"info":"∡≮⫘↔11011100011=≮⫘↔-11011100011","layer":3},{"info":"≮⫘↔10001010101⫗⊷⫓≮⫘↔1100001100010=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔-11011100011↞⋁≮⫘↔-10000110=NaN","layer":2},{"info":"NaN⊮⊟↴NaN=NaN","layer":1},{"info":"≮⫘↔10011010010⪡≮⫘↔1000111101010=≮⫘↔1101011","layer":3},{"info":"↽≂≮⫘↔1101011=≮⫘↔-11010110","layer":2},{"info":"≮⫘↔1110100011000⋝⋈⪟≮⫘↔1101111011011=≮⫘↔1110100011000","layer":3},{"info":"≅≯⇸≮⫘↔1110100011000=≮⫘↔1001001001011101","layer":2},{"info":"≮⫘↔-11010110≥⨤⩑≮⫘↔1001001001011101=≮⫘↔10011010010","layer":1},{"info":"NaN⩷∴≮⫘↔10011010010=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"((≘$4446$)⪛⫼($3113$≓∲$2215$))⪕($1053$↡⊰⫅$9122$)⨿($1407$⋖∅⋲)⫲≸⪮($2293$↹⊜$1199$≠≀($2216$⋥≓≎$1256$)⨳⩥⨓((↨$1877$)⫭))","expression":"((≘≮⫘↔1000101011110)⪛⫼(≮⫘↔110000101001≓∲≮⫘↔100010100111))⪕(≮⫘↔10000011101↡⊰⫅≮⫘↔10001110100010)⨿(≮⫘↔10101111111⋖∅⋲)⫲≸⪮(≮⫘↔100011110101↹⊜≮⫘↔10010101111≠≀(≮⫘↔100010101000⋥≓≎≮⫘↔10011101000)⨳⩥⨓((↨≮⫘↔11101010101)⫭))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":324062,"operation_count":14,"complexity_ratio":23147.285714285714,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4446,"base":2}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3113,"base":2},"right_expr":{"type":"numeric_atoms","value":2215,"base":2}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1053,"base":2},"right_expr":{"type":"numeric_atoms","value":9122,"base":2}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1407,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2293,"base":2},"right_expr":{"type":"numeric_atoms","value":1199,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2216,"base":2},"right_expr":{"type":"numeric_atoms","value":1256,"base":2}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1877,"base":2}}}}},"used_operators":["P3lXMJvFrc","umQnsF7QlU","hyuBjUqXlG","tcjXMdvYtA","s1XTVnmDOJ","abYXlopdE0","VCtxkLNOzz","L95AwlJzhO","nCS4ZIUYfx","IwW236VD4Y","9bazX3JMtO","Qy55tPpLXF","t4WUHVGj7f","jiX4gk2v2Q"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","rGHVDoGpnC","oZj3VtZNQx"],"result":"≮⫘↔110001010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4446","layer":4},{"info":"compute unary expreesion, input=4446, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=9804214","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=2215, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=31913","layer":3},{"info":"compute binary expreesion, left_input=9804214, right_input=31913, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=1053","layer":4},{"info":"number node, value=9122","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=9122, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=18244","layer":3},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=18244, right_input=-384231, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-319, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3156","layer":1},{"info":"number node, value=2293","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1199, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-306","layer":3},{"info":"number node, value=2216","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=1256, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=329","layer":3},{"info":"compute binary expreesion, left_input=-306, right_input=329, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-144","layer":2},{"info":"number node, value=1877","layer":4},{"info":"compute unary expreesion, input=1877, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-144, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3156, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3156","layer":0}],"base":2,"result_base":2,"text":"((≘≮⫘↔1000101011110)⪛⫼(≮⫘↔110000101001≓∲≮⫘↔100010100111))⪕(≮⫘↔10000011101↡⊰⫅≮⫘↔10001110100010)⨿(≮⫘↔10101111111⋖∅⋲)⫲≸⪮(≮⫘↔100011110101↹⊜≮⫘↔10010101111≠≀(≮⫘↔100010101000⋥≓≎≮⫘↔10011101000)⨳⩥⨓((↨≮⫘↔11101010101)⫭))=≮⫘↔110001010100","reverse_text":"≮⫘↔110001010100=((≘≮⫘↔1000101011110)⪛⫼(≮⫘↔110000101001≓∲≮⫘↔100010100111))⪕(≮⫘↔10000011101↡⊰⫅≮⫘↔10001110100010)⨿(≮⫘↔10101111111⋖∅⋲)⫲≸⪮(≮⫘↔100011110101↹⊜≮⫘↔10010101111≠≀(≮⫘↔100010101000⋥≓≎≮⫘↔10011101000)⨳⩥⨓((↨≮⫘↔11101010101)⫭))","cot":[{"info":"≘≮⫘↔1000101011110=≮⫘↔100101011001100110110110","layer":3},{"info":"≮⫘↔110000101001≓∲≮⫘↔100010100111=≮⫘↔111110010101001","layer":3},{"info":"≮⫘↔100101011001100110110110⪛⫼≮⫘↔111110010101001=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔10000011101↡⊰⫅≮⫘↔10001110100010=≮⫘↔100011101000100","layer":3},{"info":"≮⫘↔10101111111⋖∅⋲=≮⫘↔-1011101110011100111","layer":3},{"info":"≮⫘↔100011101000100⨿≮⫘↔-1011101110011100111=≮⫘↔-100111111","layer":2},{"info":"≮⫘↔1111001000⪕≮⫘↔-100111111=≮⫘↔110001010100","layer":1},{"info":"≮⫘↔100011110101↹⊜≮⫘↔10010101111=≮⫘↔-100110010","layer":3},{"info":"≮⫘↔100010101000⋥≓≎≮⫘↔10011101000=≮⫘↔101001001","layer":3},{"info":"≮⫘↔-100110010≠≀≮⫘↔101001001=≮⫘↔-10010000","layer":2},{"info":"↨≮⫘↔11101010101=NaN","layer":3},{"info":"NaN⫭=NaN","layer":2},{"info":"≮⫘↔-10010000⨳⩥⨓NaN=NaN","layer":1},{"info":"≮⫘↔110001010100⫲≸⪮NaN=≮⫘↔110001010100","layer":0}]}
{"id":488,"expression_no_base_symbol":"⩦⩻⨪(⫟(($6214$⪣⫩)⩺⋐⫨))","expression":"⩦⩻⨪(⫟((≮⫘↔1100001000110⪣⫩)⩺⋐⫨))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":613,"operation_count":4,"complexity_ratio":153.25,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":6214,"base":2}}}}},"used_operators":["2td37pGCOC","z4E1FaHLuy","yS9ePUuUdn","iuk5sVOGFA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔1110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6214","layer":4},{"info":"compute unary expreesion, input=6214, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=18609","layer":3},{"info":"compute unary expreesion, input=18609, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=907","layer":1},{"info":"compute unary expreesion, input=907, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=907","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪(⫟((≮⫘↔1100001000110⪣⫩)⩺⋐⫨))=≮⫘↔1110001011","reverse_text":"≮⫘↔1110001011=⩦⩻⨪(⫟((≮⫘↔1100001000110⪣⫩)⩺⋐⫨))","cot":[{"info":"≮⫘↔1100001000110⪣⫩=≮⫘↔100100010110001","layer":3},{"info":"≮⫘↔100100010110001⩺⋐⫨=≮⫘↔0","layer":2},{"info":"⫟≮⫘↔0=≮⫘↔1110001011","layer":1},{"info":"⩦⩻⨪≮⫘↔1110001011=≮⫘↔1110001011","layer":0}]}
{"id":489,"expression_no_base_symbol":"((⊀$4433$⋕⪉⪜$4487$)≬⋮(⇋↷$2346$)⊱⇼⊻($6218$⫉⨲⊜$3969$))⪕(($5218$⊉≛↸$3740$)⫸⊐($5746$/$4511$)⨸⪁(↓⇌($4121$+⇶⊼$3827$)))","expression":"((⊀≮⫘↔1000101010001⋕⪉⪜≮⫘↔1000110000111)≬⋮(⇋↷≮⫘↔100100101010)⊱⇼⊻(≮⫘↔1100001001010⫉⨲⊜≮⫘↔111110000001))⪕((≮⫘↔1010001100010⊉≛↸≮⫘↔111010011100)⫸⊐(≮⫘↔1011001110010/≮⫘↔1000110011111)⨸⪁(↓⇌(≮⫘↔1000000011001+⇶⊼≮⫘↔111011110011)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":149,"operation_count":13,"complexity_ratio":11.461538461538462,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4433,"base":2},"right_expr":{"type":"numeric_atoms","value":4487,"base":2}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2346,"base":2}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":6218,"base":2},"right_expr":{"type":"numeric_atoms","value":3969,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5218,"base":2},"right_expr":{"type":"numeric_atoms","value":3740,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5746,"base":2},"right_expr":{"type":"numeric_atoms","value":4511,"base":2}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4121,"base":2},"right_expr":{"type":"numeric_atoms","value":3827,"base":2}}}}},"used_operators":["umQnsF7QlU","kbkesczE7y","oPMjh9089D","z6LnFrNh4i","FyVja0WsTP","SWo3A1KBJH","WhqkvtTD3t","g55IO6H4Gj","mqXw5SEYmG","DZ8iAZOCBD","XhwjNDsVaA","PxpmPgHHJV","TpPTUOHfaN"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","AHs5Up7iyr"],"result":"≮⫘↔1110100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4433","layer":4},{"info":"number node, value=4487","layer":4},{"info":"compute binary expreesion, left_input=4433, right_input=4487, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=10946","layer":2},{"info":"number node, value=2346","layer":4},{"info":"compute unary expreesion, input=2346, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=18768","layer":3},{"info":"number node, value=6218","layer":4},{"info":"number node, value=3969","layer":4},{"info":"compute binary expreesion, left_input=6218, right_input=3969, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=18768, right_input=0, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=77874","layer":2},{"info":"compute binary expreesion, left_input=10946, right_input=77874, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=5218","layer":4},{"info":"number node, value=3740","layer":4},{"info":"compute binary expreesion, left_input=5218, right_input=3740, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10436","layer":3},{"info":"number node, value=5746","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=5746, right_input=4511, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=10436, right_input=1, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-121","layer":2},{"info":"number node, value=4121","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=4121, right_input=3827, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-121, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":2,"result_base":2,"text":"((⊀≮⫘↔1000101010001⋕⪉⪜≮⫘↔1000110000111)≬⋮(⇋↷≮⫘↔100100101010)⊱⇼⊻(≮⫘↔1100001001010⫉⨲⊜≮⫘↔111110000001))⪕((≮⫘↔1010001100010⊉≛↸≮⫘↔111010011100)⫸⊐(≮⫘↔1011001110010/≮⫘↔1000110011111)⨸⪁(↓⇌(≮⫘↔1000000011001+⇶⊼≮⫘↔111011110011)))=≮⫘↔1110100111","reverse_text":"≮⫘↔1110100111=((⊀≮⫘↔1000101010001⋕⪉⪜≮⫘↔1000110000111)≬⋮(⇋↷≮⫘↔100100101010)⊱⇼⊻(≮⫘↔1100001001010⫉⨲⊜≮⫘↔111110000001))⪕((≮⫘↔1010001100010⊉≛↸≮⫘↔111010011100)⫸⊐(≮⫘↔1011001110010/≮⫘↔1000110011111)⨸⪁(↓⇌(≮⫘↔1000000011001+⇶⊼≮⫘↔111011110011)))","cot":[{"info":"≮⫘↔1000101010001⋕⪉⪜≮⫘↔1000110000111=≮⫘↔101011110010","layer":3},{"info":"⊀≮⫘↔101011110010=≮⫘↔10101011000010","layer":2},{"info":"⇋↷≮⫘↔100100101010=≮⫘↔100100101010000","layer":3},{"info":"≮⫘↔1100001001010⫉⨲⊜≮⫘↔111110000001=≮⫘↔0","layer":3},{"info":"≮⫘↔100100101010000⊱⇼⊻≮⫘↔0=≮⫘↔10011000000110010","layer":2},{"info":"≮⫘↔10101011000010≬⋮≮⫘↔10011000000110010=≮⫘↔1101100100","layer":1},{"info":"≮⫘↔1010001100010⊉≛↸≮⫘↔111010011100=≮⫘↔10100011000100","layer":3},{"info":"≮⫘↔1011001110010/≮⫘↔1000110011111=≮⫘↔1","layer":3},{"info":"≮⫘↔10100011000100⫸⊐≮⫘↔1=≮⫘↔-1111001","layer":2},{"info":"≮⫘↔1000000011001+⇶⊼≮⫘↔111011110011=NaN","layer":3},{"info":"↓⇌NaN=NaN","layer":2},{"info":"≮⫘↔-1111001⨸⪁NaN=NaN","layer":1},{"info":"≮⫘↔1101100100⪕NaN=≮⫘↔1110100111","layer":0}]}
{"id":490,"expression_no_base_symbol":"⩎⋉(($1290$⩺⋐⫨)⫉⨲⊜($3927$⪭≯$3104$)⇷($3831$⪘⫢$3769$)≚⊃≕$3140$⨽∌$4199$)","expression":"⩎⋉((≮⫘↔10100001010⩺⋐⫨)⫉⨲⊜(≮⫘↔111101010111⪭≯≮⫘↔110000100000)⇷(≮⫘↔111011110111⪘⫢≮⫘↔111010111001)≚⊃≕≮⫘↔110001000100⨽∌≮⫘↔1000001100111)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":931,"operation_count":8,"complexity_ratio":116.375,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1290,"base":2}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3927,"base":2},"right_expr":{"type":"numeric_atoms","value":3104,"base":2}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3831,"base":2},"right_expr":{"type":"numeric_atoms","value":3769,"base":2}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3140,"base":2},"right_expr":{"type":"numeric_atoms","value":4199,"base":2}}}}},"used_operators":["FlXk3pOYe8","mp7IySMOzn","WhqkvtTD3t","yS9ePUuUdn","XAx5wpdLa6","Bmrmz2XGnR","oacrs7FA3X","9samAPKr6k"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eewbuw0ToL","zVYPLywUTj","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"≮⫘↔-11001100010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":4},{"info":"compute unary expreesion, input=1290, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=3927","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=3927, right_input=3104, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=3831","layer":4},{"info":"number node, value=3769","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=3769, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7538","layer":3},{"info":"number node, value=3140","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=3140, right_input=4199, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7538, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=-13076","layer":0}],"base":2,"result_base":2,"text":"⩎⋉((≮⫘↔10100001010⩺⋐⫨)⫉⨲⊜(≮⫘↔111101010111⪭≯≮⫘↔110000100000)⇷(≮⫘↔111011110111⪘⫢≮⫘↔111010111001)≚⊃≕≮⫘↔110001000100⨽∌≮⫘↔1000001100111)=≮⫘↔-11001100010100","reverse_text":"≮⫘↔-11001100010100=⩎⋉((≮⫘↔10100001010⩺⋐⫨)⫉⨲⊜(≮⫘↔111101010111⪭≯≮⫘↔110000100000)⇷(≮⫘↔111011110111⪘⫢≮⫘↔111010111001)≚⊃≕≮⫘↔110001000100⨽∌≮⫘↔1000001100111)","cot":[{"info":"≮⫘↔10100001010⩺⋐⫨=≮⫘↔0","layer":3},{"info":"≮⫘↔111101010111⪭≯≮⫘↔110000100000=NaN","layer":3},{"info":"≮⫘↔0⫉⨲⊜NaN=≮⫘↔0","layer":2},{"info":"≮⫘↔111011110111⪘⫢≮⫘↔111010111001=≮⫘↔1110101110010","layer":3},{"info":"≮⫘↔110001000100⨽∌≮⫘↔1000001100111=≮⫘↔0","layer":3},{"info":"≮⫘↔1110101110010≚⊃≕≮⫘↔0=≮⫘↔1000011","layer":2},{"info":"≮⫘↔0⇷≮⫘↔1000011=≮⫘↔10000110","layer":1},{"info":"⩎⋉≮⫘↔10000110=≮⫘↔-11001100010100","layer":0}]}
{"id":491,"expression_no_base_symbol":"($3422$⪚⩙≫)⨥⫆($1733$⊴$4816$)⪭(($4385$⇯⋐)⩺⋐⫨)∑⇟⊟(≸(⊵⊁(⩦⩻⨪$8041$)))","expression":"(≮⫘↔110101011110⪚⩙≫)⨥⫆(≮⫘↔11011000101⊴≮⫘↔1001011010000)⪭((≮⫘↔1000100100001⇯⋐)⩺⋐⫨)∑⇟⊟(≸(⊵⊁(⩦⩻⨪≮⫘↔1111101101001)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8893,"operation_count":10,"complexity_ratio":889.3,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":3422,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1733,"base":2},"right_expr":{"type":"numeric_atoms","value":4816,"base":2}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":4385,"base":2}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8041,"base":2}}}}},"used_operators":["U7g4x0WXJJ","j9kHMeSvPp","yXekIHxTD4","4n53wtyJvv","Nsiff2A1zJ","yS9ePUuUdn","LkLIoiE525","eOf03JbCpp","AvED76WdY7","2td37pGCOC"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","COABgblf1C","xUOZtlo3hN","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","dWAJyo7jo9","14qkJME0vr","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3422","layer":4},{"info":"compute unary expreesion, input=3422, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=1733","layer":4},{"info":"number node, value=4816","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=4816, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=4385","layer":4},{"info":"compute unary expreesion, input=4385, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=14033","layer":3},{"info":"compute unary expreesion, input=14033, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=8041","layer":4},{"info":"compute unary expreesion, input=8041, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8041","layer":3},{"info":"compute unary expreesion, input=8041, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=47176","layer":2},{"info":"compute unary expreesion, input=47176, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=58, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110101011110⪚⩙≫)⨥⫆(≮⫘↔11011000101⊴≮⫘↔1001011010000)⪭((≮⫘↔1000100100001⇯⋐)⩺⋐⫨)∑⇟⊟(≸(⊵⊁(⩦⩻⨪≮⫘↔1111101101001)))=NaN","reverse_text":"NaN=(≮⫘↔110101011110⪚⩙≫)⨥⫆(≮⫘↔11011000101⊴≮⫘↔1001011010000)⪭((≮⫘↔1000100100001⇯⋐)⩺⋐⫨)∑⇟⊟(≸(⊵⊁(⩦⩻⨪≮⫘↔1111101101001)))","cot":[{"info":"≮⫘↔110101011110⪚⩙≫=NaN","layer":3},{"info":"≮⫘↔11011000101⊴≮⫘↔1001011010000=NaN","layer":3},{"info":"NaN⨥⫆NaN=NaN","layer":2},{"info":"≮⫘↔1000100100001⇯⋐=≮⫘↔11011011010001","layer":3},{"info":"≮⫘↔11011011010001⩺⋐⫨=≮⫘↔0","layer":2},{"info":"NaN⪭≮⫘↔0=≮⫘↔101","layer":1},{"info":"⩦⩻⨪≮⫘↔1111101101001=≮⫘↔1111101101001","layer":3},{"info":"⊵⊁≮⫘↔1111101101001=≮⫘↔1011100001001000","layer":2},{"info":"≸≮⫘↔1011100001001000=≮⫘↔111010","layer":1},{"info":"≮⫘↔101∑⇟⊟≮⫘↔111010=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"((≦∁$3989$)⊉↱≁($8088$⋭≵$4112$)∌($7430$↓$2441$⩺⪪$3375$↳≱$2500$))∋(((⊽$2733$)⊍⩺⋍$1435$⩷∴$1007$)⪓⨏)","expression":"((≦∁≮⫘↔111110010101)⊉↱≁(≮⫘↔1111110011000⋭≵≮⫘↔1000000010000)∌(≮⫘↔1110100000110↓≮⫘↔100110001001⩺⪪≮⫘↔110100101111↳≱≮⫘↔100111000100))∋(((⊽≮⫘↔101010101101)⊍⩺⋍≮⫘↔10110011011⩷∴≮⫘↔1111101111)⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":35193,"operation_count":12,"complexity_ratio":2932.75,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3989,"base":2}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":8088,"base":2},"right_expr":{"type":"numeric_atoms","value":4112,"base":2}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":7430,"base":2},"right_expr":{"type":"numeric_atoms","value":2441,"base":2}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3375,"base":2},"right_expr":{"type":"numeric_atoms","value":2500,"base":2}}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2733,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1435,"base":2},"right_expr":{"type":"numeric_atoms","value":1007,"base":2}}}}},"used_operators":["ukq6epAj5P","8cLx32lpNA","w2P8NbNXyL","9ICcGScMcE","jBncVCNhdl","uvdQJvN4PV","Af076pWI7l","JwTKLfZU96","4X9JU4Jbn6","OXDGMFPWZM","QxG7OkqoLX","9FxExcQeMw"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z"],"result":"≮⫘↔-11010011101001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3989","layer":4},{"info":"compute unary expreesion, input=3989, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3989","layer":3},{"info":"number node, value=8088","layer":4},{"info":"number node, value=4112","layer":4},{"info":"compute binary expreesion, left_input=8088, right_input=4112, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=3989, right_input=67, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=39436","layer":2},{"info":"number node, value=7430","layer":4},{"info":"number node, value=2441","layer":4},{"info":"compute binary expreesion, left_input=7430, right_input=2441, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3375","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=3375, right_input=2500, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-13434","layer":2},{"info":"compute binary expreesion, left_input=39436, right_input=-13434, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=13434","layer":1},{"info":"number node, value=2733","layer":4},{"info":"compute unary expreesion, input=2733, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=6988","layer":3},{"info":"number node, value=1435","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=1007, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=824","layer":3},{"info":"compute binary expreesion, left_input=6988, right_input=824, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13434, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-108360","layer":0}],"base":2,"result_base":2,"text":"((≦∁≮⫘↔111110010101)⊉↱≁(≮⫘↔1111110011000⋭≵≮⫘↔1000000010000)∌(≮⫘↔1110100000110↓≮⫘↔100110001001⩺⪪≮⫘↔110100101111↳≱≮⫘↔100111000100))∋(((⊽≮⫘↔101010101101)⊍⩺⋍≮⫘↔10110011011⩷∴≮⫘↔1111101111)⪓⨏)=≮⫘↔-11010011101001000","reverse_text":"≮⫘↔-11010011101001000=((≦∁≮⫘↔111110010101)⊉↱≁(≮⫘↔1111110011000⋭≵≮⫘↔1000000010000)∌(≮⫘↔1110100000110↓≮⫘↔100110001001⩺⪪≮⫘↔110100101111↳≱≮⫘↔100111000100))∋(((⊽≮⫘↔101010101101)⊍⩺⋍≮⫘↔10110011011⩷∴≮⫘↔1111101111)⪓⨏)","cot":[{"info":"≦∁≮⫘↔111110010101=≮⫘↔111110010101","layer":3},{"info":"≮⫘↔1111110011000⋭≵≮⫘↔1000000010000=≮⫘↔1000011","layer":3},{"info":"≮⫘↔111110010101⊉↱≁≮⫘↔1000011=≮⫘↔1001101000001100","layer":2},{"info":"≮⫘↔1110100000110↓≮⫘↔100110001001=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔110100101111↳≱≮⫘↔100111000100=≮⫘↔0","layer":3},{"info":"≮⫘↔-10000110⩺⪪≮⫘↔0=≮⫘↔-11010001111010","layer":2},{"info":"≮⫘↔1001101000001100∌≮⫘↔-11010001111010=≮⫘↔11010001111010","layer":1},{"info":"⊽≮⫘↔101010101101=≮⫘↔1101101001100","layer":3},{"info":"≮⫘↔10110011011⩷∴≮⫘↔1111101111=≮⫘↔1100111000","layer":3},{"info":"≮⫘↔1101101001100⊍⩺⋍≮⫘↔1100111000=NaN","layer":2},{"info":"NaN⪓⨏=NaN","layer":1},{"info":"≮⫘↔11010001111010∋NaN=≮⫘↔-11010011101001000","layer":0}]}
{"id":493,"expression_no_base_symbol":"((⇤←$5801$)⫘($2653$⊴$1147$)⇷(⨩∲⋌$2311$)⩍⋽⫝̸(⩩$2523$))⪘⫢(⊙↵-(⨩∲⋌$4259$))↢((⊀$1279$)⫲≸⪮(⪁⇼$1771$))","expression":"((⇤←≮⫘↔1011010101001)⫘(≮⫘↔101001011101⊴≮⫘↔10001111011)⇷(⨩∲⋌≮⫘↔100100000111)⩍⋽⫝̸(⩩≮⫘↔100111011011))⪘⫢(⊙↵-(⨩∲⋌≮⫘↔1000010100011))↢((⊀≮⫘↔10011111111)⫲≸⪮(⪁⇼≮⫘↔11011101011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42688,"operation_count":14,"complexity_ratio":3049.1428571428573,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":5801,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2653,"base":2},"right_expr":{"type":"numeric_atoms","value":1147,"base":2}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2311,"base":2}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2523,"base":2}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4259,"base":2}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1279,"base":2}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1771,"base":2}}}}},"used_operators":["oacrs7FA3X","mp7IySMOzn","48vC8HMD2b","jfAgQ2OQeM","Nsiff2A1zJ","BiWNJpBvwn","aSik1wnThz","kMhfGuqI2H","WR6HLWljOP","oWn0xqSxBt","P3lXMJvFrc","oPMjh9089D","ZNVVrZ94lY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","dWAJyo7jo9","14qkJME0vr","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5801","layer":4},{"info":"compute unary expreesion, input=5801, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-27639","layer":3},{"info":"number node, value=2653","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=2653, right_input=1147, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-27639, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=32507869","layer":2},{"info":"number node, value=2311","layer":4},{"info":"compute unary expreesion, input=2311, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2834","layer":3},{"info":"number node, value=2523","layer":4},{"info":"compute unary expreesion, input=2523, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2834, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=32507869, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=4259","layer":4},{"info":"compute unary expreesion, input=4259, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4782","layer":3},{"info":"compute unary expreesion, input=-4782, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4854","layer":3},{"info":"number node, value=1771","layer":4},{"info":"compute unary expreesion, input=1771, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=4854, right_input=422, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4854","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=4854, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-484, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇤←≮⫘↔1011010101001)⫘(≮⫘↔101001011101⊴≮⫘↔10001111011)⇷(⨩∲⋌≮⫘↔100100000111)⩍⋽⫝̸(⩩≮⫘↔100111011011))⪘⫢(⊙↵-(⨩∲⋌≮⫘↔1000010100011))↢((⊀≮⫘↔10011111111)⫲≸⪮(⪁⇼≮⫘↔11011101011))=NaN","reverse_text":"NaN=((⇤←≮⫘↔1011010101001)⫘(≮⫘↔101001011101⊴≮⫘↔10001111011)⇷(⨩∲⋌≮⫘↔100100000111)⩍⋽⫝̸(⩩≮⫘↔100111011011))⪘⫢(⊙↵-(⨩∲⋌≮⫘↔1000010100011))↢((⊀≮⫘↔10011111111)⫲≸⪮(⪁⇼≮⫘↔11011101011))","cot":[{"info":"⇤←≮⫘↔1011010101001=≮⫘↔-110101111110111","layer":3},{"info":"≮⫘↔101001011101⊴≮⫘↔10001111011=NaN","layer":3},{"info":"≮⫘↔-110101111110111⫘NaN=≮⫘↔1111100000000011111011101","layer":2},{"info":"⨩∲⋌≮⫘↔100100000111=≮⫘↔-101100010010","layer":3},{"info":"⩩≮⫘↔100111011011=NaN","layer":3},{"info":"≮⫘↔-101100010010⩍⋽⫝̸NaN=NaN","layer":2},{"info":"≮⫘↔1111100000000011111011101⇷NaN=NaN","layer":1},{"info":"⨩∲⋌≮⫘↔1000010100011=≮⫘↔-1001010101110","layer":3},{"info":"⊙↵-≮⫘↔-1001010101110=≮⫘↔11000100","layer":2},{"info":"⊀≮⫘↔10011111111=≮⫘↔1001011110110","layer":3},{"info":"⪁⇼≮⫘↔11011101011=≮⫘↔110100110","layer":3},{"info":"≮⫘↔1001011110110⫲≸⪮≮⫘↔110100110=≮⫘↔1001011110110","layer":2},{"info":"≮⫘↔11000100↢≮⫘↔1001011110110=≮⫘↔-111100100","layer":1},{"info":"NaN⪘⫢≮⫘↔-111100100=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"((≸≮($1590$+⇶⊼$1407$))⪶≀⋏(⇙⪊$2093$)⫉⨲⊜($1247$∛$2257$))⨚(∜⨇(≀↧⇸$1705$≎⪠$2101$))","expression":"((≸≮(≮⫘↔11000110110+⇶⊼≮⫘↔10101111111))⪶≀⋏(⇙⪊≮⫘↔100000101101)⫉⨲⊜(≮⫘↔10011011111∛≮⫘↔100011010001))⨚(∜⨇(≀↧⇸≮⫘↔11010101001≎⪠≮⫘↔100000110101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19322,"operation_count":10,"complexity_ratio":1932.2,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1590,"base":2},"right_expr":{"type":"numeric_atoms","value":1407,"base":2}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":2093,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1247,"base":2},"right_expr":{"type":"numeric_atoms","value":2257,"base":2}}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1705,"base":2},"right_expr":{"type":"numeric_atoms","value":2101,"base":2}}}}},"used_operators":["nREPSIbpBE","zR4jO40bMj","AljMvE3RRm","TpPTUOHfaN","WhqkvtTD3t","pB6Fcnrjim","w2537kitQq","uFPyJr306J","ljTHtUsqzn","aNhz54LH3e"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","AHs5Up7iyr","eewbuw0ToL","zVYPLywUTj","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","XPYlsWDdGa","23Mk6UjR3U","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1590","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=1407, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"number node, value=2093","layer":4},{"info":"compute unary expreesion, input=2093, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=2257, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-670, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-780","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-780, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=1705","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=2101, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=39116","layer":2},{"info":"compute unary expreesion, input=39116, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≸≮(≮⫘↔11000110110+⇶⊼≮⫘↔10101111111))⪶≀⋏(⇙⪊≮⫘↔100000101101)⫉⨲⊜(≮⫘↔10011011111∛≮⫘↔100011010001))⨚(∜⨇(≀↧⇸≮⫘↔11010101001≎⪠≮⫘↔100000110101))=NaN","reverse_text":"NaN=((≸≮(≮⫘↔11000110110+⇶⊼≮⫘↔10101111111))⪶≀⋏(⇙⪊≮⫘↔100000101101)⫉⨲⊜(≮⫘↔10011011111∛≮⫘↔100011010001))⨚(∜⨇(≀↧⇸≮⫘↔11010101001≎⪠≮⫘↔100000110101))","cot":[{"info":"≮⫘↔11000110110+⇶⊼≮⫘↔10101111111=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"⇙⪊≮⫘↔100000101101=≮⫘↔0","layer":3},{"info":"≮⫘↔10011011111∛≮⫘↔100011010001=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔0⫉⨲⊜≮⫘↔-1010011110=≮⫘↔-1100001100","layer":2},{"info":"NaN⪶≀⋏≮⫘↔-1100001100=NaN","layer":1},{"info":"≮⫘↔11010101001≎⪠≮⫘↔100000110101=≮⫘↔100110001100110","layer":3},{"info":"≀↧⇸≮⫘↔100110001100110=≮⫘↔1001100011001100","layer":2},{"info":"∜⨇≮⫘↔1001100011001100=NaN","layer":1},{"info":"NaN⨚NaN=NaN","layer":0}]}
{"id":495,"expression_no_base_symbol":"(($2647$⋕⪉⪜$9137$≓∲$4715$≝⊿$2338$)⊢($3238$∺≝⩲$1344$⩧⪆$1739$⪎↠$3922$))⪗","expression":"((≮⫘↔101001010111⋕⪉⪜≮⫘↔10001110110001≓∲≮⫘↔1001001101011≝⊿≮⫘↔100100100010)⊢(≮⫘↔110010100110∺≝⩲≮⫘↔10101000000⩧⪆≮⫘↔11011001011⪎↠≮⫘↔111101010010))⪗","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":572865,"operation_count":8,"complexity_ratio":71608.125,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2647,"base":2},"right_expr":{"type":"numeric_atoms","value":9137,"base":2}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4715,"base":2},"right_expr":{"type":"numeric_atoms","value":2338,"base":2}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3238,"base":2},"right_expr":{"type":"numeric_atoms","value":1344,"base":2}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1739,"base":2},"right_expr":{"type":"numeric_atoms","value":3922,"base":2}}}}},"used_operators":["VEQNXA0ZBg","5twsqlHp2o","s1XTVnmDOJ","z6LnFrNh4i","OKKcZfAt5B","Ikt5ks8PT7","KPf6cnQVty","3tVxb0NHM4"],"dependent_operators":["dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","12rbrZMWeM","eewbuw0ToL","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2647","layer":4},{"info":"number node, value=9137","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=9137, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=4715","layer":4},{"info":"number node, value=2338","layer":4},{"info":"compute binary expreesion, left_input=4715, right_input=2338, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9924","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=-9924, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=286249","layer":2},{"info":"number node, value=3238","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=1344, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1739","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=3922, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-160","layer":2},{"info":"compute binary expreesion, left_input=286249, right_input=-160, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-572742","layer":1},{"info":"compute unary expreesion, input=-572742, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001010111⋕⪉⪜≮⫘↔10001110110001≓∲≮⫘↔1001001101011≝⊿≮⫘↔100100100010)⊢(≮⫘↔110010100110∺≝⩲≮⫘↔10101000000⩧⪆≮⫘↔11011001011⪎↠≮⫘↔111101010010))⪗=NaN","reverse_text":"NaN=((≮⫘↔101001010111⋕⪉⪜≮⫘↔10001110110001≓∲≮⫘↔1001001101011≝⊿≮⫘↔100100100010)⊢(≮⫘↔110010100110∺≝⩲≮⫘↔10101000000⩧⪆≮⫘↔11011001011⪎↠≮⫘↔111101010010))⪗","cot":[{"info":"≮⫘↔101001010111⋕⪉⪜≮⫘↔10001110110001=≮⫘↔11001100","layer":3},{"info":"≮⫘↔1001001101011≝⊿≮⫘↔100100100010=≮⫘↔-10011011000100","layer":3},{"info":"≮⫘↔11001100≓∲≮⫘↔-10011011000100=≮⫘↔1000101111000101001","layer":2},{"info":"≮⫘↔110010100110∺≝⩲≮⫘↔10101000000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11011001011⪎↠≮⫘↔111101010010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⩧⪆≮⫘↔10100000=≮⫘↔-10100000","layer":2},{"info":"≮⫘↔1000101111000101001⊢≮⫘↔-10100000=≮⫘↔-10001011110101000110","layer":1},{"info":"≮⫘↔-10001011110101000110⪗=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"(↯⪼(⩷⨜⫀(⊵⊁$1473$)))⊉↱≁(($1419$⨸$1717$⫌⩉⩟$1209$⪔$1891$)⨓$7232$≴⪞⇿$1959$⊉↱≁($5077$+$1731$))","expression":"(↯⪼(⩷⨜⫀(⊵⊁≮⫘↔10111000001)))⊉↱≁((≮⫘↔10110001011⨸≮⫘↔11010110101⫌⩉⩟≮⫘↔10010111001⪔≮⫘↔11101100011)⨓≮⫘↔1110001000000≴⪞⇿≮⫘↔11110100111⊉↱≁(≮⫘↔1001111010101+≮⫘↔11011000011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":218900,"operation_count":11,"complexity_ratio":19900.0,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1473,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1419,"base":2},"right_expr":{"type":"numeric_atoms","value":1717,"base":2}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1209,"base":2},"right_expr":{"type":"numeric_atoms","value":1891,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":7232,"base":2},"right_expr":{"type":"numeric_atoms","value":1959,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5077,"base":2},"right_expr":{"type":"numeric_atoms","value":1731,"base":2}}}}},"used_operators":["w2P8NbNXyL","8jW3W4yZS5","CDi0ktkjQ4","AvED76WdY7","3ViojmjbAp","XIIwhv8d0m","KmoU8R5UQR","GjBEYRfMaF","lvlrscuwVU","W4YGzv6Whe"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","ruOEQAzv1W","nhYeJWJD5X","uBihLCJcMX","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=7768","layer":3},{"info":"compute unary expreesion, input=7768, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-7495","layer":2},{"info":"compute unary expreesion, input=-7495, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=14073","layer":1},{"info":"number node, value=1419","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1717, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2838","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1891, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=2838, right_input=450, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=7232","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=7232, right_input=1959, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=96855596","layer":3},{"info":"number node, value=5077","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=5077, right_input=1731, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6808","layer":3},{"info":"compute binary expreesion, left_input=96855596, right_input=6808, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=968515060","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=968515060, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14073, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↯⪼(⩷⨜⫀(⊵⊁≮⫘↔10111000001)))⊉↱≁((≮⫘↔10110001011⨸≮⫘↔11010110101⫌⩉⩟≮⫘↔10010111001⪔≮⫘↔11101100011)⨓≮⫘↔1110001000000≴⪞⇿≮⫘↔11110100111⊉↱≁(≮⫘↔1001111010101+≮⫘↔11011000011))=NaN","reverse_text":"NaN=(↯⪼(⩷⨜⫀(⊵⊁≮⫘↔10111000001)))⊉↱≁((≮⫘↔10110001011⨸≮⫘↔11010110101⫌⩉⩟≮⫘↔10010111001⪔≮⫘↔11101100011)⨓≮⫘↔1110001000000≴⪞⇿≮⫘↔11110100111⊉↱≁(≮⫘↔1001111010101+≮⫘↔11011000011))","cot":[{"info":"⊵⊁≮⫘↔10111000001=≮⫘↔1111001011000","layer":3},{"info":"⩷⨜⫀≮⫘↔1111001011000=≮⫘↔-1110101000111","layer":2},{"info":"↯⪼≮⫘↔-1110101000111=≮⫘↔11011011111001","layer":1},{"info":"≮⫘↔10110001011⨸≮⫘↔11010110101=≮⫘↔101100010110","layer":3},{"info":"≮⫘↔10010111001⪔≮⫘↔11101100011=≮⫘↔111000010","layer":3},{"info":"≮⫘↔101100010110⫌⩉⩟≮⫘↔111000010=≮⫘↔-110010","layer":2},{"info":"≮⫘↔1110001000000≴⪞⇿≮⫘↔11110100111=≮⫘↔101110001011110011000101100","layer":3},{"info":"≮⫘↔1001111010101+≮⫘↔11011000011=≮⫘↔1101010011000","layer":3},{"info":"≮⫘↔101110001011110011000101100⊉↱≁≮⫘↔1101010011000=≮⫘↔111001101110100101110111110100","layer":2},{"info":"≮⫘↔-110010⨓≮⫘↔111001101110100101110111110100=NaN","layer":1},{"info":"≮⫘↔11011011111001⊉↱≁NaN=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"(≉($3816$↼⊘⨖$8089$)∳⫺($5242$≓∲$3242$))⋷(($2659$⩺⪪$1130$)⨔≚≋$2060$≁$1721$)∌(⊁⨺($4497$⫌⩉⩟$4161$))","expression":"(≉(≮⫘↔111011101000↼⊘⨖≮⫘↔1111110011001)∳⫺(≮⫘↔1010001111010≓∲≮⫘↔110010101010))⋷((≮⫘↔101001100011⩺⪪≮⫘↔10001101010)⨔≚≋≮⫘↔100000001100≁≮⫘↔11010111001)∌(⊁⨺(≮⫘↔1000110010001⫌⩉⩟≮⫘↔1000001000001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23269,"operation_count":11,"complexity_ratio":2115.3636363636365,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3816,"base":2},"right_expr":{"type":"numeric_atoms","value":8089,"base":2}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5242,"base":2},"right_expr":{"type":"numeric_atoms","value":3242,"base":2}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2659,"base":2},"right_expr":{"type":"numeric_atoms","value":1130,"base":2}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2060,"base":2},"right_expr":{"type":"numeric_atoms","value":1721,"base":2}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4497,"base":2},"right_expr":{"type":"numeric_atoms","value":4161,"base":2}}}}},"used_operators":["23Mk6UjR3U","e1ybzncUwg","AzXXKTstlj","bPywburJMS","s1XTVnmDOJ","8cLx32lpNA","Z57zeUYC9z","uvdQJvN4PV","8N2wDY1A35","PxiHyQbrIp","XIIwhv8d0m"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≮⫘↔10100110000110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3816","layer":4},{"info":"number node, value=8089","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=8089, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=15956","layer":3},{"info":"number node, value=5242","layer":4},{"info":"number node, value=3242","layer":4},{"info":"compute binary expreesion, left_input=5242, right_input=3242, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=53203","layer":3},{"info":"compute binary expreesion, left_input=15956, right_input=53203, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-42520","layer":2},{"info":"compute unary expreesion, input=-42520, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-42520","layer":1},{"info":"number node, value=2659","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=1130, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-25362","layer":3},{"info":"number node, value=2060","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=1721, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=28103","layer":3},{"info":"compute binary expreesion, left_input=-25362, right_input=28103, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=178208","layer":2},{"info":"number node, value=4497","layer":4},{"info":"number node, value=4161","layer":4},{"info":"compute binary expreesion, left_input=4497, right_input=4161, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=1495","layer":2},{"info":"compute binary expreesion, left_input=178208, right_input=1495, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1495","layer":1},{"info":"compute binary expreesion, left_input=-42520, right_input=-1495, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=85040","layer":0}],"base":2,"result_base":2,"text":"(≉(≮⫘↔111011101000↼⊘⨖≮⫘↔1111110011001)∳⫺(≮⫘↔1010001111010≓∲≮⫘↔110010101010))⋷((≮⫘↔101001100011⩺⪪≮⫘↔10001101010)⨔≚≋≮⫘↔100000001100≁≮⫘↔11010111001)∌(⊁⨺(≮⫘↔1000110010001⫌⩉⩟≮⫘↔1000001000001))=≮⫘↔10100110000110000","reverse_text":"≮⫘↔10100110000110000=(≉(≮⫘↔111011101000↼⊘⨖≮⫘↔1111110011001)∳⫺(≮⫘↔1010001111010≓∲≮⫘↔110010101010))⋷((≮⫘↔101001100011⩺⪪≮⫘↔10001101010)⨔≚≋≮⫘↔100000001100≁≮⫘↔11010111001)∌(⊁⨺(≮⫘↔1000110010001⫌⩉⩟≮⫘↔1000001000001))","cot":[{"info":"≮⫘↔111011101000↼⊘⨖≮⫘↔1111110011001=≮⫘↔11111001010100","layer":3},{"info":"≮⫘↔1010001111010≓∲≮⫘↔110010101010=≮⫘↔1100111111010011","layer":3},{"info":"≮⫘↔11111001010100∳⫺≮⫘↔1100111111010011=≮⫘↔-1010011000011000","layer":2},{"info":"≉≮⫘↔-1010011000011000=≮⫘↔-1010011000011000","layer":1},{"info":"≮⫘↔101001100011⩺⪪≮⫘↔10001101010=≮⫘↔-110001100010010","layer":3},{"info":"≮⫘↔100000001100≁≮⫘↔11010111001=≮⫘↔110110111000111","layer":3},{"info":"≮⫘↔-110001100010010⨔≚≋≮⫘↔110110111000111=≮⫘↔101011100000100000","layer":2},{"info":"≮⫘↔1000110010001⫌⩉⩟≮⫘↔1000001000001=≮⫘↔-110010","layer":3},{"info":"⊁⨺≮⫘↔-110010=≮⫘↔10111010111","layer":2},{"info":"≮⫘↔101011100000100000∌≮⫘↔10111010111=≮⫘↔-10111010111","layer":1},{"info":"≮⫘↔-1010011000011000⋷≮⫘↔-10111010111=≮⫘↔10100110000110000","layer":0}]}
{"id":498,"expression_no_base_symbol":"(∓⪦($5077$≬⋮$2242$))⩺⪪(-$3888$∑⇟⊟$1892$)⊾⪯⋞((⊢≑≆$1010$)⋣⋖(≇⪴$3173$)⋘⨑⨽)","expression":"(∓⪦(≮⫘↔1001111010101≬⋮≮⫘↔100011000010))⩺⪪(-≮⫘↔111100110000∑⇟⊟≮⫘↔11101100100)⊾⪯⋞((⊢≑≆≮⫘↔1111110010)⋣⋖(≇⪴≮⫘↔110001100101)⋘⨑⨽)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":259,"operation_count":10,"complexity_ratio":25.9,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5077,"base":2},"right_expr":{"type":"numeric_atoms","value":2242,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3888,"base":2},"right_expr":{"type":"numeric_atoms","value":1892,"base":2}}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1010,"base":2}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3173,"base":2}}}}},"used_operators":["HK0tfVPux8","uvdQJvN4PV","D309nIvmXG","kbkesczE7y","t8gj7n24qd","U7g4x0WXJJ","WmT3o8z6ya","J0M6qkBnIM","27wFxooxGf","zoVPnxeHJ3"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5077","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=5077, right_input=2242, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=460","layer":2},{"info":"number node, value=3888","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=3888, right_input=1892, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=460, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4492","layer":3},{"info":"number node, value=3173","layer":4},{"info":"compute unary expreesion, input=3173, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-8179","layer":3},{"info":"compute binary expreesion, left_input=4492, right_input=-8179, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4492","layer":2},{"info":"compute unary expreesion, input=4492, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=23243","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23243, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∓⪦(≮⫘↔1001111010101≬⋮≮⫘↔100011000010))⩺⪪(-≮⫘↔111100110000∑⇟⊟≮⫘↔11101100100)⊾⪯⋞((⊢≑≆≮⫘↔1111110010)⋣⋖(≇⪴≮⫘↔110001100101)⋘⨑⨽)=NaN","reverse_text":"NaN=(∓⪦(≮⫘↔1001111010101≬⋮≮⫘↔100011000010))⩺⪪(-≮⫘↔111100110000∑⇟⊟≮⫘↔11101100100)⊾⪯⋞((⊢≑≆≮⫘↔1111110010)⋣⋖(≇⪴≮⫘↔110001100101)⋘⨑⨽)","cot":[{"info":"≮⫘↔1001111010101≬⋮≮⫘↔100011000010=≮⫘↔1101100100","layer":3},{"info":"∓⪦≮⫘↔1101100100=≮⫘↔111001100","layer":2},{"info":"≮⫘↔111100110000∑⇟⊟≮⫘↔11101100100=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"≮⫘↔111001100⩺⪪NaN=NaN","layer":1},{"info":"⊢≑≆≮⫘↔1111110010=≮⫘↔1000110001100","layer":3},{"info":"≇⪴≮⫘↔110001100101=≮⫘↔-1111111110011","layer":3},{"info":"≮⫘↔1000110001100⋣⋖≮⫘↔-1111111110011=≮⫘↔1000110001100","layer":2},{"info":"≮⫘↔1000110001100⋘⨑⨽=≮⫘↔101101011001011","layer":1},{"info":"NaN⊾⪯⋞≮⫘↔101101011001011=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"(↥$8483$⫉⨲⊜$4210$⫲≸⪮($2402$⫃⨇$2444$))%($1304$⪬∳)∇⊂⋱($1565$⇌⫙⪟$2491$)⨚((⨈⫕$1040$)⨚⇆(⇁⨣⪵$1243$))","expression":"(↥≮⫘↔10000100100011⫉⨲⊜≮⫘↔1000001110010⫲≸⪮(≮⫘↔100101100010⫃⨇≮⫘↔100110001100))%(≮⫘↔10100011000⪬∳)∇⊂⋱(≮⫘↔11000011101⇌⫙⪟≮⫘↔100110111011)⨚((⨈⫕≮⫘↔10000010000)⨚⇆(⇁⨣⪵≮⫘↔10011011011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4718,"operation_count":12,"complexity_ratio":393.1666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":8483,"base":2},"right_expr":{"type":"numeric_atoms","value":4210,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2402,"base":2},"right_expr":{"type":"numeric_atoms","value":2444,"base":2}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1304,"base":2}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1565,"base":2},"right_expr":{"type":"numeric_atoms","value":2491,"base":2}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1040,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1243,"base":2}}}}},"used_operators":["k8jYdgA6NY","A8NUZmVepG","P3lXMJvFrc","WhqkvtTD3t","09Ly4LVMIf","nREPSIbpBE","nhYeJWJD5X","O9U3z1385E","AFVx7xoS7T","lwHaAYXP2r","megm06wKyl","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8483","layer":4},{"info":"number node, value=4210","layer":4},{"info":"compute binary expreesion, left_input=8483, right_input=4210, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=2402","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=2444, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9808","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9808, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":1},{"info":"number node, value=1304","layer":4},{"info":"compute unary expreesion, input=1304, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=1565","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=2491, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=113, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-226","layer":2},{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-226, right_input=-inf, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↥≮⫘↔10000100100011⫉⨲⊜≮⫘↔1000001110010⫲≸⪮(≮⫘↔100101100010⫃⨇≮⫘↔100110001100))%(≮⫘↔10100011000⪬∳)∇⊂⋱(≮⫘↔11000011101⇌⫙⪟≮⫘↔100110111011)⨚((⨈⫕≮⫘↔10000010000)⨚⇆(⇁⨣⪵≮⫘↔10011011011))=NaN","reverse_text":"NaN=(↥≮⫘↔10000100100011⫉⨲⊜≮⫘↔1000001110010⫲≸⪮(≮⫘↔100101100010⫃⨇≮⫘↔100110001100))%(≮⫘↔10100011000⪬∳)∇⊂⋱(≮⫘↔11000011101⇌⫙⪟≮⫘↔100110111011)⨚((⨈⫕≮⫘↔10000010000)⨚⇆(⇁⨣⪵≮⫘↔10011011011))","cot":[{"info":"≮⫘↔10000100100011⫉⨲⊜≮⫘↔1000001110010=≮⫘↔0","layer":3},{"info":"≮⫘↔100101100010⫃⨇≮⫘↔100110001100=≮⫘↔-10011001010000","layer":3},{"info":"≮⫘↔0⫲≸⪮≮⫘↔-10011001010000=≮⫘↔0","layer":2},{"info":"↥≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10100011000⪬∳=≮⫘↔-1011000101","layer":3},{"info":"≮⫘↔11000011101⇌⫙⪟≮⫘↔100110111011=≮⫘↔1110001","layer":3},{"info":"≮⫘↔-1011000101∇⊂⋱≮⫘↔1110001=≮⫘↔-11100010","layer":2},{"info":"⨈⫕≮⫘↔10000010000=≮⫘↔-10101","layer":3},{"info":"⇁⨣⪵≮⫘↔10011011011=NaN","layer":3},{"info":"≮⫘↔-10101⨚⇆NaN=-Inf","layer":2},{"info":"≮⫘↔-11100010⨚-Inf=NaN","layer":1},{"info":"≮⫘↔0%NaN=NaN","layer":0}]}
{"id":500,"expression_no_base_symbol":"⪁⇼(($5046$⪝$4137$⇄(↘$2249$))⨼⩣((⊥$2734$)↡⊰⫅($2375$⊝)))","expression":"⪁⇼((≮⫘↔1001110110110⪝≮⫘↔1000000101001⇄(↘≮⫘↔100011001001))⨼⩣((⊥≮⫘↔101010101110)↡⊰⫅(≮⫘↔100101000111⊝)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34073,"operation_count":8,"complexity_ratio":4259.125,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5046,"base":2},"right_expr":{"type":"numeric_atoms","value":4137,"base":2}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2249,"base":2}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2734,"base":2}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":2375,"base":2}}}}},"used_operators":["ZNVVrZ94lY","JxwMv5le6e","3EYGwJThht","wicAB68Tmb","LdNpr8hQHL","VCtxkLNOzz","Q3PJZHRvZv","O6EZ0fifGK"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","uFcxV4UQCh","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","fu6greOZ01","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5046","layer":4},{"info":"number node, value=4137","layer":4},{"info":"compute binary expreesion, left_input=5046, right_input=4137, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-4035","layer":3},{"info":"number node, value=2249","layer":4},{"info":"compute unary expreesion, input=2249, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=289","layer":3},{"info":"compute binary expreesion, left_input=-4035, right_input=289, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=195","layer":2},{"info":"number node, value=2734","layer":4},{"info":"compute unary expreesion, input=2734, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2375","layer":4},{"info":"compute unary expreesion, input=2375, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2375","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2375, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4750","layer":2},{"info":"compute binary expreesion, left_input=195, right_input=4750, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪁⇼((≮⫘↔1001110110110⪝≮⫘↔1000000101001⇄(↘≮⫘↔100011001001))⨼⩣((⊥≮⫘↔101010101110)↡⊰⫅(≮⫘↔100101000111⊝)))=NaN","reverse_text":"NaN=⪁⇼((≮⫘↔1001110110110⪝≮⫘↔1000000101001⇄(↘≮⫘↔100011001001))⨼⩣((⊥≮⫘↔101010101110)↡⊰⫅(≮⫘↔100101000111⊝)))","cot":[{"info":"≮⫘↔1001110110110⪝≮⫘↔1000000101001=≮⫘↔-111111000011","layer":3},{"info":"↘≮⫘↔100011001001=≮⫘↔100100001","layer":3},{"info":"≮⫘↔-111111000011⇄≮⫘↔100100001=≮⫘↔11000011","layer":2},{"info":"⊥≮⫘↔101010101110=NaN","layer":3},{"info":"≮⫘↔100101000111⊝=≮⫘↔100101000111","layer":3},{"info":"NaN↡⊰⫅≮⫘↔100101000111=≮⫘↔1001010001110","layer":2},{"info":"≮⫘↔11000011⨼⩣≮⫘↔1001010001110=NaN","layer":1},{"info":"⪁⇼NaN=NaN","layer":0}]}
{"id":501,"expression_no_base_symbol":"((∂⩏⊆(↘$1245$))%(∂($6771$∕⩚$1719$)))⋥⋵⩄($1221$⊹∫⫚$3563$⋳⪒$1065$⩦$3336$)≌(($1935$⋓$1233$)↑)","expression":"((∂⩏⊆(↘≮⫘↔10011011101))%(∂(≮⫘↔1101001110011∕⩚≮⫘↔11010110111)))⋥⋵⩄(≮⫘↔10011000101⊹∫⫚≮⫘↔110111101011⋳⪒≮⫘↔10000101001⩦≮⫘↔110100001000)≌((≮⫘↔11110001111⋓≮⫘↔10011010001)↑)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":58288,"operation_count":12,"complexity_ratio":4857.333333333333,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1245,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6771,"base":2},"right_expr":{"type":"numeric_atoms","value":1719,"base":2}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1221,"base":2},"right_expr":{"type":"numeric_atoms","value":3563,"base":2}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1065,"base":2},"right_expr":{"type":"numeric_atoms","value":3336,"base":2}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1935,"base":2},"right_expr":{"type":"numeric_atoms","value":1233,"base":2}}}}},"used_operators":["7t3wd0Fuz7","k8jYdgA6NY","8WDwsbhb0R","LdNpr8hQHL","Uaa54Peajs","z9ffQ9n5Zr","lyWz822IDG","12rbrZMWeM","uWAJUKEvyW","0kmYd0q39Y","BThhyOhh10","T2fj7uvVaJ"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","14qkJME0vr","eLAdDNolq6","uFcxV4UQCh","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≮⫘↔1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=69","layer":3},{"info":"compute unary expreesion, input=69, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=415","layer":2},{"info":"number node, value=6771","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=6771, right_input=1719, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6774","layer":3},{"info":"compute unary expreesion, input=-6774, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=6510","layer":2},{"info":"compute binary expreesion, left_input=415, right_input=6510, op_id = k8jYdgA6NY binary_op_definition= 'None', output=415","layer":1},{"info":"number node, value=1221","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=3563, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-4","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=3336, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2130","layer":3},{"info":"compute binary expreesion, left_input=-4, right_input=2130, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2425","layer":2},{"info":"number node, value=1935","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=1233, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=-2425, right_input=222, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9980","layer":1},{"info":"compute binary expreesion, left_input=415, right_input=9980, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":2,"result_base":2,"text":"((∂⩏⊆(↘≮⫘↔10011011101))%(∂(≮⫘↔1101001110011∕⩚≮⫘↔11010110111)))⋥⋵⩄(≮⫘↔10011000101⊹∫⫚≮⫘↔110111101011⋳⪒≮⫘↔10000101001⩦≮⫘↔110100001000)≌((≮⫘↔11110001111⋓≮⫘↔10011010001)↑)=≮⫘↔1110001","reverse_text":"≮⫘↔1110001=((∂⩏⊆(↘≮⫘↔10011011101))%(∂(≮⫘↔1101001110011∕⩚≮⫘↔11010110111)))⋥⋵⩄(≮⫘↔10011000101⊹∫⫚≮⫘↔110111101011⋳⪒≮⫘↔10000101001⩦≮⫘↔110100001000)≌((≮⫘↔11110001111⋓≮⫘↔10011010001)↑)","cot":[{"info":"↘≮⫘↔10011011101=≮⫘↔1000101","layer":3},{"info":"∂⩏⊆≮⫘↔1000101=≮⫘↔110011111","layer":2},{"info":"≮⫘↔1101001110011∕⩚≮⫘↔11010110111=≮⫘↔-1101001110110","layer":3},{"info":"∂≮⫘↔-1101001110110=≮⫘↔1100101101110","layer":2},{"info":"≮⫘↔110011111%≮⫘↔1100101101110=≮⫘↔110011111","layer":1},{"info":"≮⫘↔10011000101⊹∫⫚≮⫘↔110111101011=≮⫘↔-100","layer":3},{"info":"≮⫘↔10000101001⩦≮⫘↔110100001000=≮⫘↔100001010010","layer":3},{"info":"≮⫘↔-100⋳⪒≮⫘↔100001010010=≮⫘↔-100101111001","layer":2},{"info":"≮⫘↔11110001111⋓≮⫘↔10011010001=≮⫘↔0","layer":3},{"info":"≮⫘↔0↑=≮⫘↔11011110","layer":2},{"info":"≮⫘↔-100101111001≌≮⫘↔11011110=≮⫘↔10011011111100","layer":1},{"info":"≮⫘↔110011111⋥⋵⩄≮⫘↔10011011111100=≮⫘↔1110001","layer":0}]}
{"id":502,"expression_no_base_symbol":"(($3733$⊋≦⊧$1429$⪨≂$2019$∝$2703$)⩎⪣⊞)∓⋝($5092$⨭⪣$1556$↙($1627$⇮⋭$1880$)⫚↹⊑$4376$⪕$2977$∝$2609$≬⇓$2627$)","expression":"((≮⫘↔111010010101⊋≦⊧≮⫘↔10110010101⪨≂≮⫘↔11111100011∝≮⫘↔101010001111)⩎⪣⊞)∓⋝(≮⫘↔1001111100100⨭⪣≮⫘↔11000010100↙(≮⫘↔11001011011⇮⋭≮⫘↔11101011000)⫚↹⊑≮⫘↔1000100011000⪕≮⫘↔101110100001∝≮⫘↔101000110001≬⇓≮⫘↔101001000011)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":129207,"operation_count":12,"complexity_ratio":10767.25,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3733,"base":2},"right_expr":{"type":"numeric_atoms","value":1429,"base":2}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2019,"base":2},"right_expr":{"type":"numeric_atoms","value":2703,"base":2}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5092,"base":2},"right_expr":{"type":"numeric_atoms","value":1556,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1627,"base":2},"right_expr":{"type":"numeric_atoms","value":1880,"base":2}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4376,"base":2},"right_expr":{"type":"numeric_atoms","value":2977,"base":2}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2609,"base":2},"right_expr":{"type":"numeric_atoms","value":2627,"base":2}}}}},"used_operators":["PoHhknlbAi","waWucp1uQ4","sdazOOVcIp","oRDoc9rAEX","cTDWOvIxvz","dfKe02y8D2","yyfyN0ffXY","kn8WO9XteQ","vkpjKywKVM","umQnsF7QlU","jWTQ2TZYIH"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","tmPS8pqC7x","DpFCA1CohY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3733","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=3733, right_input=1429, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2618","layer":3},{"info":"number node, value=2019","layer":4},{"info":"number node, value=2703","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=2703, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2024","layer":3},{"info":"compute binary expreesion, left_input=-2618, right_input=2024, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9182","layer":2},{"info":"compute unary expreesion, input=-9182, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":1},{"info":"number node, value=5092","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=5092, right_input=1556, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3813","layer":3},{"info":"number node, value=1627","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=1880, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=3813, right_input=-473, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1419","layer":2},{"info":"number node, value=4376","layer":4},{"info":"number node, value=2977","layer":4},{"info":"compute binary expreesion, left_input=4376, right_input=2977, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6676","layer":3},{"info":"number node, value=2609","layer":4},{"info":"number node, value=2627","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=2627, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=6676, right_input=-22, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6681","layer":2},{"info":"compute binary expreesion, left_input=-1419, right_input=6681, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111010010101⊋≦⊧≮⫘↔10110010101⪨≂≮⫘↔11111100011∝≮⫘↔101010001111)⩎⪣⊞)∓⋝(≮⫘↔1001111100100⨭⪣≮⫘↔11000010100↙(≮⫘↔11001011011⇮⋭≮⫘↔11101011000)⫚↹⊑≮⫘↔1000100011000⪕≮⫘↔101110100001∝≮⫘↔101000110001≬⇓≮⫘↔101001000011)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔111010010101⊋≦⊧≮⫘↔10110010101⪨≂≮⫘↔11111100011∝≮⫘↔101010001111)⩎⪣⊞)∓⋝(≮⫘↔1001111100100⨭⪣≮⫘↔11000010100↙(≮⫘↔11001011011⇮⋭≮⫘↔11101011000)⫚↹⊑≮⫘↔1000100011000⪕≮⫘↔101110100001∝≮⫘↔101000110001≬⇓≮⫘↔101001000011)","cot":[{"info":"≮⫘↔111010010101⊋≦⊧≮⫘↔10110010101=≮⫘↔-101000111010","layer":3},{"info":"≮⫘↔11111100011∝≮⫘↔101010001111=≮⫘↔11111101000","layer":3},{"info":"≮⫘↔-101000111010⪨≂≮⫘↔11111101000=≮⫘↔-10001111011110","layer":2},{"info":"≮⫘↔-10001111011110⩎⪣⊞=NaN","layer":1},{"info":"≮⫘↔1001111100100⨭⪣≮⫘↔11000010100=≮⫘↔111011100101","layer":3},{"info":"≮⫘↔11001011011⇮⋭≮⫘↔11101011000=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔111011100101↙≮⫘↔-111011001=≮⫘↔-10110001011","layer":2},{"info":"≮⫘↔1000100011000⪕≮⫘↔101110100001=≮⫘↔1101000010100","layer":3},{"info":"≮⫘↔101000110001≬⇓≮⫘↔101001000011=≮⫘↔-10110","layer":3},{"info":"≮⫘↔1101000010100∝≮⫘↔-10110=≮⫘↔1101000011001","layer":2},{"info":"≮⫘↔-10110001011⫚↹⊑≮⫘↔1101000011001=≮⫘↔-110111111","layer":1},{"info":"NaN∓⋝≮⫘↔-110111111=≮⫘↔1000011","layer":0}]}
{"id":503,"expression_no_base_symbol":"(($1597$⇂≾⫗$2309$⩤)∛≔)↢((⨴⫝(⊗$1967$))⩘(($7878$⊋≦⊧$1519$)⨱∎))","expression":"((≮⫘↔11000111101⇂≾⫗≮⫘↔100100000101⩤)∛≔)↢((⨴⫝(⊗≮⫘↔11110101111))⩘((≮⫘↔1111011000110⊋≦⊧≮⫘↔10111101111)⨱∎))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3106,"operation_count":9,"complexity_ratio":345.1111111111111,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1597,"base":2},"right_expr":{"type":"numeric_atoms","value":2309,"base":2}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1967,"base":2}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7878,"base":2},"right_expr":{"type":"numeric_atoms","value":1519,"base":2}}}}},"used_operators":["WR6HLWljOP","mGnSCrte3L","Z2TMIBDE3Q","aBQ6xLxuTc","cHh1gJQ2o6","SVb2v531z1","RhiyfpczSx","MmTdOpaElr","oRDoc9rAEX"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","tifHPKVTfV","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"≮⫘↔-10010100111111001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1597","layer":4},{"info":"number node, value=2309","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=2309, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=676","layer":2},{"info":"compute unary expreesion, input=676, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":1},{"info":"number node, value=1967","layer":4},{"info":"compute unary expreesion, input=1967, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3934","layer":3},{"info":"compute unary expreesion, input=-3934, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"number node, value=7878","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=7878, right_input=1519, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2798","layer":3},{"info":"compute unary expreesion, input=-2798, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2828198, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-305287, right_input=160, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-610254","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11000111101⇂≾⫗≮⫘↔100100000101⩤)∛≔)↢((⨴⫝(⊗≮⫘↔11110101111))⩘((≮⫘↔1111011000110⊋≦⊧≮⫘↔10111101111)⨱∎))=≮⫘↔-10010100111111001110","reverse_text":"≮⫘↔-10010100111111001110=((≮⫘↔11000111101⇂≾⫗≮⫘↔100100000101⩤)∛≔)↢((⨴⫝(⊗≮⫘↔11110101111))⩘((≮⫘↔1111011000110⊋≦⊧≮⫘↔10111101111)⨱∎))","cot":[{"info":"≮⫘↔11000111101⇂≾⫗≮⫘↔100100000101=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔-1010100100⩤=≮⫘↔1010100100","layer":2},{"info":"≮⫘↔1010100100∛≔=≮⫘↔-1001010100010000111","layer":1},{"info":"⊗≮⫘↔11110101111=≮⫘↔-111101011110","layer":3},{"info":"⨴⫝≮⫘↔-111101011110=≮⫘↔1010110010011110100110","layer":2},{"info":"≮⫘↔1111011000110⊋≦⊧≮⫘↔10111101111=≮⫘↔-101011101110","layer":3},{"info":"≮⫘↔-101011101110⨱∎=≮⫘↔0","layer":2},{"info":"≮⫘↔1010110010011110100110⩘≮⫘↔0=≮⫘↔10100000","layer":1},{"info":"≮⫘↔-1001010100010000111↢≮⫘↔10100000=≮⫘↔-10010100111111001110","layer":0}]}
{"id":504,"expression_no_base_symbol":"($1885$↼⊘⨖$3002$⪨≂$1399$∌$2014$)⨿(($1747$∖$6154$)≝⊰⇂)↺($3396$⩒⫫$1765$∖$2837$∙∹∝$2625$)≒∊$2150$⪮%⊝$1750$⋣⋖($4924$⩷∴$1291$)","expression":"(≮⫘↔11101011101↼⊘⨖≮⫘↔101110111010⪨≂≮⫘↔10101110111∌≮⫘↔11111011110)⨿((≮⫘↔11011010011∖≮⫘↔1100000001010)≝⊰⇂)↺(≮⫘↔110101000100⩒⫫≮⫘↔11011100101∖≮⫘↔101100010101∙∹∝≮⫘↔101001000001)≒∊≮⫘↔100001100110⪮%⊝≮⫘↔11011010110⋣⋖(≮⫘↔1001100111100⩷∴≮⫘↔10100001011)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1135,"operation_count":14,"complexity_ratio":81.07142857142857,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1885,"base":2},"right_expr":{"type":"numeric_atoms","value":3002,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1399,"base":2},"right_expr":{"type":"numeric_atoms","value":2014,"base":2}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1747,"base":2},"right_expr":{"type":"numeric_atoms","value":6154,"base":2}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3396,"base":2},"right_expr":{"type":"numeric_atoms","value":1765,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2837,"base":2},"right_expr":{"type":"numeric_atoms","value":2625,"base":2}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2150,"base":2},"right_expr":{"type":"numeric_atoms","value":1750,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4924,"base":2},"right_expr":{"type":"numeric_atoms","value":1291,"base":2}}}}},"used_operators":["7j4O788W3g","abYXlopdE0","sdazOOVcIp","bPywburJMS","8cLx32lpNA","htSmYCowi5","tXD093vOjl","5KTvxBwnZo","KFSx94NKJn","HmxsFra2vL","J0M6qkBnIM","IWmyXbctLI","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","DlLNRPXxWL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z"],"result":"≮⫘↔111100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1885","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=3002, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5782","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=2014, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2014","layer":3},{"info":"compute binary expreesion, left_input=5782, right_input=-2014, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=15694","layer":2},{"info":"number node, value=1747","layer":4},{"info":"number node, value=6154","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=6154, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=15694, right_input=-134, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=3396","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=3396, right_input=1765, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3094","layer":3},{"info":"number node, value=2837","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=2625, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3094, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=2150","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=1750, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4616","layer":3},{"info":"number node, value=4924","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=4924, right_input=1291, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7234","layer":3},{"info":"compute binary expreesion, left_input=4616, right_input=7234, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4616","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4616, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=484, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=484","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11101011101↼⊘⨖≮⫘↔101110111010⪨≂≮⫘↔10101110111∌≮⫘↔11111011110)⨿((≮⫘↔11011010011∖≮⫘↔1100000001010)≝⊰⇂)↺(≮⫘↔110101000100⩒⫫≮⫘↔11011100101∖≮⫘↔101100010101∙∹∝≮⫘↔101001000001)≒∊≮⫘↔100001100110⪮%⊝≮⫘↔11011010110⋣⋖(≮⫘↔1001100111100⩷∴≮⫘↔10100001011)=≮⫘↔111100100","reverse_text":"≮⫘↔111100100=(≮⫘↔11101011101↼⊘⨖≮⫘↔101110111010⪨≂≮⫘↔10101110111∌≮⫘↔11111011110)⨿((≮⫘↔11011010011∖≮⫘↔1100000001010)≝⊰⇂)↺(≮⫘↔110101000100⩒⫫≮⫘↔11011100101∖≮⫘↔101100010101∙∹∝≮⫘↔101001000001)≒∊≮⫘↔100001100110⪮%⊝≮⫘↔11011010110⋣⋖(≮⫘↔1001100111100⩷∴≮⫘↔10100001011)","cot":[{"info":"≮⫘↔11101011101↼⊘⨖≮⫘↔101110111010=≮⫘↔1011010010110","layer":3},{"info":"≮⫘↔10101110111∌≮⫘↔11111011110=≮⫘↔-11111011110","layer":3},{"info":"≮⫘↔1011010010110⪨≂≮⫘↔-11111011110=≮⫘↔11110101001110","layer":2},{"info":"≮⫘↔11011010011∖≮⫘↔1100000001010=≮⫘↔0","layer":3},{"info":"≮⫘↔0≝⊰⇂=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔11110101001110⨿≮⫘↔-10000110=≮⫘↔-100111111","layer":1},{"info":"≮⫘↔110101000100⩒⫫≮⫘↔11011100101=≮⫘↔110000010110","layer":3},{"info":"≮⫘↔101100010101∙∹∝≮⫘↔101001000001=≮⫘↔0","layer":3},{"info":"≮⫘↔110000010110∖≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔100001100110⪮%⊝≮⫘↔11011010110=≮⫘↔1001000001000","layer":3},{"info":"≮⫘↔1001100111100⩷∴≮⫘↔10100001011=≮⫘↔1110001000010","layer":3},{"info":"≮⫘↔1001000001000⋣⋖≮⫘↔1110001000010=≮⫘↔1001000001000","layer":2},{"info":"≮⫘↔0≒∊≮⫘↔1001000001000=≮⫘↔111100100","layer":1},{"info":"≮⫘↔-100111111↺≮⫘↔111100100=≮⫘↔111100100","layer":0}]}
{"id":505,"expression_no_base_symbol":"((⋗⩬⋾$1474$)⇌⫙⪟$1398$⪃⊛⇣$4349$⊹∫⫚(($6990$⫥∨⫟$5850$)⇄($4270$≬⋮$6076$)))⫩","expression":"((⋗⩬⋾≮⫘↔10111000010)⇌⫙⪟≮⫘↔10101110110⪃⊛⇣≮⫘↔1000011111101⊹∫⫚((≮⫘↔1101101001110⫥∨⫟≮⫘↔1011011011010)⇄(≮⫘↔1000010101110≬⋮≮⫘↔1011110111100)))⫩","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":770,"operation_count":8,"complexity_ratio":96.25,"tree":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1474,"base":2}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1398,"base":2},"right_expr":{"type":"numeric_atoms","value":4349,"base":2}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6990,"base":2},"right_expr":{"type":"numeric_atoms","value":5850,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4270,"base":2},"right_expr":{"type":"numeric_atoms","value":6076,"base":2}}}}},"used_operators":["6aG7x05OhS","uWAJUKEvyW","AFVx7xoS7T","DpFCA1CohY","rrgAzCduG9","3EYGwJThht","KYD54nUTWz","kbkesczE7y"],"dependent_operators":["dWAJyo7jo9","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1474","layer":4},{"info":"compute unary expreesion, input=1474, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4422","layer":3},{"info":"number node, value=1398","layer":4},{"info":"number node, value=4349","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=4349, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4422, right_input=1234, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=6990","layer":4},{"info":"number node, value=5850","layer":4},{"info":"compute binary expreesion, left_input=6990, right_input=5850, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4270","layer":4},{"info":"number node, value=6076","layer":4},{"info":"compute binary expreesion, left_input=4270, right_input=6076, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾≮⫘↔10111000010)⇌⫙⪟≮⫘↔10101110110⪃⊛⇣≮⫘↔1000011111101⊹∫⫚((≮⫘↔1101101001110⫥∨⫟≮⫘↔1011011011010)⇄(≮⫘↔1000010101110≬⋮≮⫘↔1011110111100)))⫩=NaN","reverse_text":"NaN=((⋗⩬⋾≮⫘↔10111000010)⇌⫙⪟≮⫘↔10101110110⪃⊛⇣≮⫘↔1000011111101⊹∫⫚((≮⫘↔1101101001110⫥∨⫟≮⫘↔1011011011010)⇄(≮⫘↔1000010101110≬⋮≮⫘↔1011110111100)))⫩","cot":[{"info":"⋗⩬⋾≮⫘↔10111000010=≮⫘↔-1000101000110","layer":3},{"info":"≮⫘↔10101110110⪃⊛⇣≮⫘↔1000011111101=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-1000101000110⇌⫙⪟≮⫘↔10011010010=≮⫘↔1110001","layer":2},{"info":"≮⫘↔1101101001110⫥∨⫟≮⫘↔1011011011010=NaN","layer":3},{"info":"≮⫘↔1000010101110≬⋮≮⫘↔1011110111100=≮⫘↔1101100100","layer":3},{"info":"NaN⇄≮⫘↔1101100100=NaN","layer":2},{"info":"≮⫘↔1110001⊹∫⫚NaN=NaN","layer":1},{"info":"NaN⫩=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"≯(($2349$∋$3145$)⩣⫁∢(⊄⩳↩$8555$))⪎↠((→⩰$3948$)+$1996$⨻⩈⩔$1601$)","expression":"≯((≮⫘↔100100101101∋≮⫘↔110001001001)⩣⫁∢(⊄⩳↩≮⫘↔10000101101011))⪎↠((→⩰≮⫘↔111101101100)+≮⫘↔11111001100⨻⩈⩔≮⫘↔11001000001)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4589,"operation_count":8,"complexity_ratio":573.625,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2349,"base":2},"right_expr":{"type":"numeric_atoms","value":3145,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":8555,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":3948,"base":2}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1996,"base":2},"right_expr":{"type":"numeric_atoms","value":1601,"base":2}}}}},"used_operators":["keWfFq85dY","3tVxb0NHM4","JDUIKTTSIa","ukq6epAj5P","8w2t5hMYqp","W4YGzv6Whe","o8Pngz0Tml","nEsXyWgiOK"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2349","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=3145, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6584916","layer":3},{"info":"number node, value=8555","layer":4},{"info":"compute unary expreesion, input=8555, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-25665","layer":3},{"info":"compute binary expreesion, left_input=6584916, right_input=-25665, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-13169671","layer":2},{"info":"number node, value=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=1996","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=1601, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=7567","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7567, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13169671, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":2,"result_base":2,"text":"≯((≮⫘↔100100101101∋≮⫘↔110001001001)⩣⫁∢(⊄⩳↩≮⫘↔10000101101011))⪎↠((→⩰≮⫘↔111101101100)+≮⫘↔11111001100⨻⩈⩔≮⫘↔11001000001)=≮⫘↔0","reverse_text":"≮⫘↔0=≯((≮⫘↔100100101101∋≮⫘↔110001001001)⩣⫁∢(⊄⩳↩≮⫘↔10000101101011))⪎↠((→⩰≮⫘↔111101101100)+≮⫘↔11111001100⨻⩈⩔≮⫘↔11001000001)","cot":[{"info":"≮⫘↔100100101101∋≮⫘↔110001001001=≮⫘↔11001000111101001010100","layer":3},{"info":"⊄⩳↩≮⫘↔10000101101011=≮⫘↔-110010001000001","layer":3},{"info":"≮⫘↔11001000111101001010100⩣⫁∢≮⫘↔-110010001000001=≮⫘↔-110010001111010000000111","layer":2},{"info":"→⩰≮⫘↔111101101100=NaN","layer":3},{"info":"≮⫘↔11111001100⨻⩈⩔≮⫘↔11001000001=≮⫘↔1110110001111","layer":3},{"info":"NaN+≮⫘↔1110110001111=NaN","layer":2},{"info":"≮⫘↔-110010001111010000000111⪎↠NaN=≮⫘↔-110111","layer":1},{"info":"≯≮⫘↔-110111=≮⫘↔0","layer":0}]}
{"id":507,"expression_no_base_symbol":"((($3403$⨲∙)↺(≛$4682$))⊴(⊀$4943$)⋥⋵⩄($4920$⫑%∭))≎⪠((⋎⨆$4075$⊉↱≁$4134$)⩅⪻⪻)","expression":"(((≮⫘↔110101001011⨲∙)↺(≛≮⫘↔1001001001010))⊴(⊀≮⫘↔1001101001111)⋥⋵⩄(≮⫘↔1001100111000⫑%∭))≎⪠((⋎⨆≮⫘↔111111101011⊉↱≁≮⫘↔1000000100110)⩅⪻⪻)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20719,"operation_count":11,"complexity_ratio":1883.5454545454545,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":3403,"base":2}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":4682,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":4943,"base":2}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":4920,"base":2}}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4075,"base":2},"right_expr":{"type":"numeric_atoms","value":4134,"base":2}}}}},"used_operators":["aNhz54LH3e","Nsiff2A1zJ","7j4O788W3g","cRahaglYVE","W7eaUhjymW","7t3wd0Fuz7","oPMjh9089D","xUx7qlDO4z","kHoXpA7yos","E64sFOc4tB","w2P8NbNXyL"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"≮⫘↔100110001100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3403","layer":4},{"info":"compute unary expreesion, input=3403, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=44086186","layer":3},{"info":"number node, value=4682","layer":4},{"info":"compute unary expreesion, input=4682, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=44086186, right_input=-10, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-10","layer":2},{"info":"number node, value=4943","layer":4},{"info":"compute unary expreesion, input=4943, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=19510","layer":3},{"info":"number node, value=4920","layer":4},{"info":"compute unary expreesion, input=4920, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19510, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4075","layer":4},{"info":"number node, value=4134","layer":4},{"info":"compute binary expreesion, left_input=4075, right_input=4134, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=15894","layer":3},{"info":"compute unary expreesion, input=15894, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=575","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=575, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔110101001011⨲∙)↺(≛≮⫘↔1001001001010))⊴(⊀≮⫘↔1001101001111)⋥⋵⩄(≮⫘↔1001100111000⫑%∭))≎⪠((⋎⨆≮⫘↔111111101011⊉↱≁≮⫘↔1000000100110)⩅⪻⪻)=≮⫘↔100110001100110","reverse_text":"≮⫘↔100110001100110=(((≮⫘↔110101001011⨲∙)↺(≛≮⫘↔1001001001010))⊴(⊀≮⫘↔1001101001111)⋥⋵⩄(≮⫘↔1001100111000⫑%∭))≎⪠((⋎⨆≮⫘↔111111101011⊉↱≁≮⫘↔1000000100110)⩅⪻⪻)","cot":[{"info":"≮⫘↔110101001011⨲∙=≮⫘↔10101000001011001110101010","layer":3},{"info":"≛≮⫘↔1001001001010=≮⫘↔-1010","layer":3},{"info":"≮⫘↔10101000001011001110101010↺≮⫘↔-1010=≮⫘↔-1010","layer":2},{"info":"⊀≮⫘↔1001101001111=≮⫘↔100110000110110","layer":3},{"info":"≮⫘↔1001100111000⫑%∭=NaN","layer":3},{"info":"≮⫘↔100110000110110⋥⋵⩄NaN=NaN","layer":2},{"info":"≮⫘↔-1010⊴NaN=NaN","layer":1},{"info":"≮⫘↔111111101011⊉↱≁≮⫘↔1000000100110=≮⫘↔11111000010110","layer":3},{"info":"⋎⨆≮⫘↔11111000010110=≮⫘↔0","layer":2},{"info":"≮⫘↔0⩅⪻⪻=≮⫘↔1000111111","layer":1},{"info":"NaN≎⪠≮⫘↔1000111111=≮⫘↔100110001100110","layer":0}]}
{"id":508,"expression_no_base_symbol":"↘((⪫⨮⊛($1380$⩒⫫$4608$))⩘)","expression":"↘((⪫⨮⊛(≮⫘↔10101100100⩒⫫≮⫘↔1001000000000))⩘)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":71,"operation_count":4,"complexity_ratio":17.75,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1380,"base":2},"right_expr":{"type":"numeric_atoms","value":4608,"base":2}}}}},"used_operators":["LdNpr8hQHL","wvHyciQT5X","w5FWba1tyO","KFSx94NKJn"],"dependent_operators":["uFcxV4UQCh","9ICcGScMcE","dfKe02y8D2","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1380","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=4608, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1078","layer":3},{"info":"compute unary expreesion, input=1078, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1078","layer":2},{"info":"compute unary expreesion, input=1078, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=67","layer":0}],"base":2,"result_base":2,"text":"↘((⪫⨮⊛(≮⫘↔10101100100⩒⫫≮⫘↔1001000000000))⩘)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=↘((⪫⨮⊛(≮⫘↔10101100100⩒⫫≮⫘↔1001000000000))⩘)","cot":[{"info":"≮⫘↔10101100100⩒⫫≮⫘↔1001000000000=≮⫘↔10000110110","layer":3},{"info":"⪫⨮⊛≮⫘↔10000110110=≮⫘↔10000110110","layer":2},{"info":"≮⫘↔10000110110⩘=≮⫘↔1000011","layer":1},{"info":"↘≮⫘↔1000011=≮⫘↔1000011","layer":0}]}
{"id":509,"expression_no_base_symbol":"(($1688$⇍⊗$1345$)⨑⩅≇($3961$⩵∡$3232$)⊍⩺⋍(⨝⨆$1027$)↬($1491$⨰$2384$))⋣⋖($4159$≠≀$2967$)⫞⩸⩒(↘$5485$)⨸(($5893$⪨≂$8402$)⨸($5649$⨚⇆$3212$))","expression":"((≮⫘↔11010011000⇍⊗≮⫘↔10101000001)⨑⩅≇(≮⫘↔111101111001⩵∡≮⫘↔110010100000)⊍⩺⋍(⨝⨆≮⫘↔10000000011)↬(≮⫘↔10111010011⨰≮⫘↔100101010000))⋣⋖(≮⫘↔1000000111111≠≀≮⫘↔101110010111)⫞⩸⩒(↘≮⫘↔1010101101101)⨸((≮⫘↔1011100000101⪨≂≮⫘↔10000011010010)⨸(≮⫘↔1011000010001⨚⇆≮⫘↔110010001100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":53126,"operation_count":15,"complexity_ratio":3541.733333333333,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1688,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3961,"base":2},"right_expr":{"type":"numeric_atoms","value":3232,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1027,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1491,"base":2},"right_expr":{"type":"numeric_atoms","value":2384,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4159,"base":2},"right_expr":{"type":"numeric_atoms","value":2967,"base":2}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5485,"base":2}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5893,"base":2},"right_expr":{"type":"numeric_atoms","value":8402,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5649,"base":2},"right_expr":{"type":"numeric_atoms","value":3212,"base":2}}}}},"used_operators":["J0M6qkBnIM","OXDGMFPWZM","h92wMvzauj","5uvYHDjeKN","Y7wcNGrDQJ","B5M0gjZbta","bQ67fsrMVf","eewbuw0ToL","KmoU8R5UQR","XGcMNugi78","IwW236VD4Y","LdNpr8hQHL","sdazOOVcIp","lwHaAYXP2r"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rGHVDoGpnC","tifHPKVTfV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","uFcxV4UQCh","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1345, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=3961","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=3961, right_input=3232, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4811","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-4811, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=5576","layer":2},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=818","layer":3},{"info":"number node, value=1491","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=2384, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-883","layer":3},{"info":"compute binary expreesion, left_input=818, right_input=-883, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5576, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=4159","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=2967, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8012","layer":3},{"info":"number node, value=5485","layer":4},{"info":"compute unary expreesion, input=5485, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=389","layer":3},{"info":"compute binary expreesion, left_input=-8012, right_input=389, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-8012","layer":2},{"info":"number node, value=5893","layer":4},{"info":"number node, value=8402","layer":4},{"info":"compute binary expreesion, left_input=5893, right_input=8402, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4916","layer":3},{"info":"number node, value=5649","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=5649, right_input=3212, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4916, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8012, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11010011000⇍⊗≮⫘↔10101000001)⨑⩅≇(≮⫘↔111101111001⩵∡≮⫘↔110010100000)⊍⩺⋍(⨝⨆≮⫘↔10000000011)↬(≮⫘↔10111010011⨰≮⫘↔100101010000))⋣⋖(≮⫘↔1000000111111≠≀≮⫘↔101110010111)⫞⩸⩒(↘≮⫘↔1010101101101)⨸((≮⫘↔1011100000101⪨≂≮⫘↔10000011010010)⨸(≮⫘↔1011000010001⨚⇆≮⫘↔110010001100))=NaN","reverse_text":"NaN=((≮⫘↔11010011000⇍⊗≮⫘↔10101000001)⨑⩅≇(≮⫘↔111101111001⩵∡≮⫘↔110010100000)⊍⩺⋍(⨝⨆≮⫘↔10000000011)↬(≮⫘↔10111010011⨰≮⫘↔100101010000))⋣⋖(≮⫘↔1000000111111≠≀≮⫘↔101110010111)⫞⩸⩒(↘≮⫘↔1010101101101)⨸((≮⫘↔1011100000101⪨≂≮⫘↔10000011010010)⨸(≮⫘↔1011000010001⨚⇆≮⫘↔110010001100))","cot":[{"info":"≮⫘↔11010011000⇍⊗≮⫘↔10101000001=≮⫘↔-11110100","layer":3},{"info":"≮⫘↔111101111001⩵∡≮⫘↔110010100000=≮⫘↔-1001011001011","layer":3},{"info":"≮⫘↔-11110100⨑⩅≇≮⫘↔-1001011001011=≮⫘↔1010111001000","layer":2},{"info":"⨝⨆≮⫘↔10000000011=≮⫘↔1100110010","layer":3},{"info":"≮⫘↔10111010011⨰≮⫘↔100101010000=≮⫘↔-1101110011","layer":3},{"info":"≮⫘↔1100110010↬≮⫘↔-1101110011=NaN","layer":2},{"info":"≮⫘↔1010111001000⊍⩺⋍NaN=NaN","layer":1},{"info":"≮⫘↔1000000111111≠≀≮⫘↔101110010111=≮⫘↔-1111101001100","layer":3},{"info":"↘≮⫘↔1010101101101=≮⫘↔110000101","layer":3},{"info":"≮⫘↔-1111101001100⫞⩸⩒≮⫘↔110000101=≮⫘↔-1111101001100","layer":2},{"info":"≮⫘↔1011100000101⪨≂≮⫘↔10000011010010=≮⫘↔-1001100110100","layer":3},{"info":"≮⫘↔1011000010001⨚⇆≮⫘↔110010001100=NaN","layer":3},{"info":"≮⫘↔-1001100110100⨸NaN=NaN","layer":2},{"info":"≮⫘↔-1111101001100⨸NaN=NaN","layer":1},{"info":"NaN⋣⋖NaN=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"($3994$⊱⇼⊻$7252$*$1730$⋝⋈⪟$1030$)≥⨤⩑(+⊝⨔$4614$)⨽∌$1720$⨑⩅≇$5238$⨵⪆((($2765$⩚⊴⇥$1131$)↑)⫚↹⊑($2818$⋖∅⋲)↙$2863$⪨⊡$3738$)","expression":"(≮⫘↔111110011010⊱⇼⊻≮⫘↔1110001010100*≮⫘↔11011000010⋝⋈⪟≮⫘↔10000000110)≥⨤⩑(+⊝⨔≮⫘↔1001000000110)⨽∌≮⫘↔11010111000⨑⩅≇≮⫘↔1010001110110⨵⪆(((≮⫘↔101011001101⩚⊴⇥≮⫘↔10001101011)↑)⫚↹⊑(≮⫘↔101100000010⋖∅⋲)↙≮⫘↔101100101111⪨⊡≮⫘↔111010011010)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6107,"operation_count":14,"complexity_ratio":436.2142857142857,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3994,"base":2},"right_expr":{"type":"numeric_atoms","value":7252,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1730,"base":2},"right_expr":{"type":"numeric_atoms","value":1030,"base":2}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4614,"base":2}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1720,"base":2},"right_expr":{"type":"numeric_atoms","value":5238,"base":2}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2765,"base":2},"right_expr":{"type":"numeric_atoms","value":1131,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":2818,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2863,"base":2},"right_expr":{"type":"numeric_atoms","value":3738,"base":2}}}}},"used_operators":["2DQ55sFlQl","gJLn6v0xnP","9HNa5Wba9A","FyVja0WsTP","2DDjHMKMc0","9samAPKr6k","DhbWaqg5eL","h92wMvzauj","dfKe02y8D2","BThhyOhh10","NTOWxs364D","yyfyN0ffXY","L95AwlJzhO","kuIXHzHcAH"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3994","layer":4},{"info":"number node, value=7252","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=7252, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1730","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=1030, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1730","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=1730, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=750820","layer":2},{"info":"number node, value=4614","layer":4},{"info":"compute unary expreesion, input=4614, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1720","layer":4},{"info":"number node, value=5238","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=5238, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5160","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-5160, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=750820, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=2765","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=1131, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4017","layer":3},{"info":"compute unary expreesion, input=-4017, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"number node, value=2818","layer":4},{"info":"compute unary expreesion, input=2818, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=2863","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=3738, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-384231","layer":2},{"info":"compute binary expreesion, left_input=222, right_input=-384231, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-447, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111110011010⊱⇼⊻≮⫘↔1110001010100*≮⫘↔11011000010⋝⋈⪟≮⫘↔10000000110)≥⨤⩑(+⊝⨔≮⫘↔1001000000110)⨽∌≮⫘↔11010111000⨑⩅≇≮⫘↔1010001110110⨵⪆(((≮⫘↔101011001101⩚⊴⇥≮⫘↔10001101011)↑)⫚↹⊑(≮⫘↔101100000010⋖∅⋲)↙≮⫘↔101100101111⪨⊡≮⫘↔111010011010)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔111110011010⊱⇼⊻≮⫘↔1110001010100*≮⫘↔11011000010⋝⋈⪟≮⫘↔10000000110)≥⨤⩑(+⊝⨔≮⫘↔1001000000110)⨽∌≮⫘↔11010111000⨑⩅≇≮⫘↔1010001110110⨵⪆(((≮⫘↔101011001101⩚⊴⇥≮⫘↔10001101011)↑)⫚↹⊑(≮⫘↔101100000010⋖∅⋲)↙≮⫘↔101100101111⪨⊡≮⫘↔111010011010)","cot":[{"info":"≮⫘↔111110011010⊱⇼⊻≮⫘↔1110001010100=≮⫘↔110110010","layer":3},{"info":"≮⫘↔11011000010⋝⋈⪟≮⫘↔10000000110=≮⫘↔11011000010","layer":3},{"info":"≮⫘↔110110010*≮⫘↔11011000010=≮⫘↔10110111010011100100","layer":2},{"info":"+⊝⨔≮⫘↔1001000000110=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔11010111000⨑⩅≇≮⫘↔1010001110110=≮⫘↔-1010000101000","layer":3},{"info":"≮⫘↔10111110010⨽∌≮⫘↔-1010000101000=≮⫘↔0","layer":2},{"info":"≮⫘↔10110111010011100100≥⨤⩑≮⫘↔0=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔101011001101⩚⊴⇥≮⫘↔10001101011=≮⫘↔-111110110001","layer":3},{"info":"≮⫘↔-111110110001↑=≮⫘↔11011110","layer":2},{"info":"≮⫘↔101100000010⋖∅⋲=≮⫘↔-1011101110011100111","layer":3},{"info":"≮⫘↔101100101111⪨⊡≮⫘↔111010011010=≮⫘↔0","layer":3},{"info":"≮⫘↔-1011101110011100111↙≮⫘↔0=≮⫘↔-1011101110011100111","layer":2},{"info":"≮⫘↔11011110⫚↹⊑≮⫘↔-1011101110011100111=≮⫘↔-110111111","layer":1},{"info":"≮⫘↔10011010010⨵⪆≮⫘↔-110111111=≮⫘↔10100000","layer":0}]}
{"id":511,"expression_no_base_symbol":"$4588$⫁$1140$≥⨤⩑($4115$↪⪝)⨎($4462$⊝⪿⪼$3268$≫≃)⨳⩥⨓((⊿$1047$⪭$5042$)⫔⩽⩺(⇜⊴$1483$⨿$1389$))","expression":"≮⫘↔1000111101100⫁≮⫘↔10001110100≥⨤⩑(≮⫘↔1000000010011↪⪝)⨎(≮⫘↔1000101101110⊝⪿⪼≮⫘↔110011000100≫≃)⨳⩥⨓((⊿≮⫘↔10000010111⪭≮⫘↔1001110110010)⫔⩽⩺(⇜⊴≮⫘↔10111001011⨿≮⫘↔10101101101))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1232,"operation_count":12,"complexity_ratio":102.66666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4588,"base":2},"right_expr":{"type":"numeric_atoms","value":1140,"base":2}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4115,"base":2}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4462,"base":2},"right_expr":{"type":"numeric_atoms","value":3268,"base":2}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1047,"base":2},"right_expr":{"type":"numeric_atoms","value":5042,"base":2}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1483,"base":2},"right_expr":{"type":"numeric_atoms","value":1389,"base":2}}}}},"used_operators":["nCS4ZIUYfx","rJVOvQCfKK","gJLn6v0xnP","0ajvFaJAv0","l07mrZUIn9","X99M06cbEe","3Oe9XWJUTD","i9eR4S00cU","DO4fhlbJSI","j9kHMeSvPp","XwDhCwWbUn","abYXlopdE0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","cHh1gJQ2o6","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","COABgblf1C","xUOZtlo3hN","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4588","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=4588, right_input=1140, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4115","layer":4},{"info":"compute unary expreesion, input=4115, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=251763930","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=251763930, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=4462","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=3268, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=61314","layer":3},{"info":"compute unary expreesion, input=61314, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=124029","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=124029, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=124029","layer":1},{"info":"number node, value=1047","layer":4},{"info":"number node, value=5042","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=5042, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-758","layer":2},{"info":"number node, value=1483","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=1389, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=122030","layer":2},{"info":"compute binary expreesion, left_input=-758, right_input=122030, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=124029, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔1000111101100⫁≮⫘↔10001110100≥⨤⩑(≮⫘↔1000000010011↪⪝)⨎(≮⫘↔1000101101110⊝⪿⪼≮⫘↔110011000100≫≃)⨳⩥⨓((⊿≮⫘↔10000010111⪭≮⫘↔1001110110010)⫔⩽⩺(⇜⊴≮⫘↔10111001011⨿≮⫘↔10101101101))=NaN","reverse_text":"NaN=≮⫘↔1000111101100⫁≮⫘↔10001110100≥⨤⩑(≮⫘↔1000000010011↪⪝)⨎(≮⫘↔1000101101110⊝⪿⪼≮⫘↔110011000100≫≃)⨳⩥⨓((⊿≮⫘↔10000010111⪭≮⫘↔1001110110010)⫔⩽⩺(⇜⊴≮⫘↔10111001011⨿≮⫘↔10101101101))","cot":[{"info":"≮⫘↔1000111101100⫁≮⫘↔10001110100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1000000010011↪⪝=≮⫘↔1111000000011001110011011010","layer":3},{"info":"≮⫘↔10100000≥⨤⩑≮⫘↔1111000000011001110011011010=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔1000101101110⊝⪿⪼≮⫘↔110011000100=≮⫘↔1110111110000010","layer":3},{"info":"≮⫘↔1110111110000010≫≃=≮⫘↔11110010001111101","layer":2},{"info":"≮⫘↔10011010010⨎≮⫘↔11110010001111101=≮⫘↔11110010001111101","layer":1},{"info":"≮⫘↔10000010111⪭≮⫘↔1001110110010=≮⫘↔101","layer":3},{"info":"⊿≮⫘↔101=≮⫘↔-1011110110","layer":2},{"info":"≮⫘↔10111001011⨿≮⫘↔10101101101=≮⫘↔-100111111","layer":3},{"info":"⇜⊴≮⫘↔-100111111=≮⫘↔11101110010101110","layer":2},{"info":"≮⫘↔-1011110110⫔⩽⩺≮⫘↔11101110010101110=NaN","layer":1},{"info":"≮⫘↔11110010001111101⨳⩥⨓NaN=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"(⩦⊞((↨$5432$)≳⇉$1077$≌$2302$))≁↽≥(($4444$↞⋁$1944$∀⇚≩$3719$≄⊠$7794$)⪝($4134$⩍⋽⫝̸$2960$→⨶⪴(≑⋹$4044$)))","expression":"(⩦⊞((↨≮⫘↔1010100111000)≳⇉≮⫘↔10000110101≌≮⫘↔100011111110))≁↽≥((≮⫘↔1000101011100↞⋁≮⫘↔11110011000∀⇚≩≮⫘↔111010000111≄⊠≮⫘↔1111001110010)⪝(≮⫘↔1000000100110⩍⋽⫝̸≮⫘↔101110010000→⨶⪴(≑⋹≮⫘↔111111001100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3474,"operation_count":12,"complexity_ratio":289.5,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5432,"base":2}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1077,"base":2},"right_expr":{"type":"numeric_atoms","value":2302,"base":2}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4444,"base":2},"right_expr":{"type":"numeric_atoms","value":1944,"base":2}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3719,"base":2},"right_expr":{"type":"numeric_atoms","value":7794,"base":2}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4134,"base":2},"right_expr":{"type":"numeric_atoms","value":2960,"base":2}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":4044,"base":2}}}}},"used_operators":["ncHt1X6cMc","u7fv1HBiaC","V0kx6qeWkN","jiX4gk2v2Q","lyWz822IDG","wicAB68Tmb","LRNGc0VcxI","RqrPlJkxDo","vXNesLlMH1","bF6eod5Gvf","BiWNJpBvwn","6B9nyZLogK"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rGHVDoGpnC","oZj3VtZNQx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","X99M06cbEe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw","Ph9nP6C5qx","xUOZtlo3hN","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5432","layer":4},{"info":"compute unary expreesion, input=5432, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=2302, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":1},{"info":"number node, value=4444","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=4444, right_input=1944, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3719","layer":4},{"info":"number node, value=7794","layer":4},{"info":"compute binary expreesion, left_input=3719, right_input=7794, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=129372","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=129372, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4134","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=4134, right_input=2960, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2014","layer":3},{"info":"number node, value=4044","layer":4},{"info":"compute unary expreesion, input=4044, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=2014, right_input=1650, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4950","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4950, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩦⊞((↨≮⫘↔1010100111000)≳⇉≮⫘↔10000110101≌≮⫘↔100011111110))≁↽≥((≮⫘↔1000101011100↞⋁≮⫘↔11110011000∀⇚≩≮⫘↔111010000111≄⊠≮⫘↔1111001110010)⪝(≮⫘↔1000000100110⩍⋽⫝̸≮⫘↔101110010000→⨶⪴(≑⋹≮⫘↔111111001100)))=NaN","reverse_text":"NaN=(⩦⊞((↨≮⫘↔1010100111000)≳⇉≮⫘↔10000110101≌≮⫘↔100011111110))≁↽≥((≮⫘↔1000101011100↞⋁≮⫘↔11110011000∀⇚≩≮⫘↔111010000111≄⊠≮⫘↔1111001110010)⪝(≮⫘↔1000000100110⩍⋽⫝̸≮⫘↔101110010000→⨶⪴(≑⋹≮⫘↔111111001100)))","cot":[{"info":"↨≮⫘↔1010100111000=NaN","layer":3},{"info":"≮⫘↔10000110101≌≮⫘↔100011111110=NaN","layer":3},{"info":"NaN≳⇉NaN=NaN","layer":2},{"info":"⩦⊞NaN=NaN","layer":1},{"info":"≮⫘↔1000101011100↞⋁≮⫘↔11110011000=NaN","layer":3},{"info":"≮⫘↔111010000111≄⊠≮⫘↔1111001110010=≮⫘↔11111100101011100","layer":3},{"info":"NaN∀⇚≩≮⫘↔11111100101011100=NaN","layer":2},{"info":"≮⫘↔1000000100110⩍⋽⫝̸≮⫘↔101110010000=≮⫘↔11111011110","layer":3},{"info":"≑⋹≮⫘↔111111001100=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔11111011110→⨶⪴≮⫘↔11001110010=≮⫘↔-1001101010110","layer":2},{"info":"NaN⪝≮⫘↔-1001101010110=NaN","layer":1},{"info":"NaN≁↽≥NaN=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"⇜(⊢≑≆($7600$⨼⩣$1136$))∛((⋠∜$2212$)⇴∐(⇐$2962$))","expression":"⇜(⊢≑≆(≮⫘↔1110110110000⨼⩣≮⫘↔10001110000))∛((⋠∜≮⫘↔100010100100)⇴∐(⇐≮⫘↔101110010010))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":672,"operation_count":7,"complexity_ratio":96.0,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":7600,"base":2},"right_expr":{"type":"numeric_atoms","value":1136,"base":2}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2212,"base":2}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2962,"base":2}}}}},"used_operators":["lFBm8KRb8F","w2537kitQq","27wFxooxGf","JxwMv5le6e","HnzytWxmAO","ZJpFhNJr3x","nmZMaaE0Q9"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"≮⫘↔-11001001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7600","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=7600, right_input=1136, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":2},{"info":"number node, value=2212","layer":4},{"info":"compute unary expreesion, input=2212, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=11132","layer":3},{"info":"number node, value=2962","layer":4},{"info":"compute unary expreesion, input=2962, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4998","layer":3},{"info":"compute binary expreesion, left_input=11132, right_input=4998, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-1612","layer":0}],"base":2,"result_base":2,"text":"⇜(⊢≑≆(≮⫘↔1110110110000⨼⩣≮⫘↔10001110000))∛((⋠∜≮⫘↔100010100100)⇴∐(⇐≮⫘↔101110010010))=≮⫘↔-11001001100","reverse_text":"≮⫘↔-11001001100=⇜(⊢≑≆(≮⫘↔1110110110000⨼⩣≮⫘↔10001110000))∛((⋠∜≮⫘↔100010100100)⇴∐(⇐≮⫘↔101110010010))","cot":[{"info":"≮⫘↔1110110110000⨼⩣≮⫘↔10001110000=NaN","layer":3},{"info":"⊢≑≆NaN=NaN","layer":2},{"info":"⋠∜≮⫘↔100010100100=≮⫘↔10101101111100","layer":3},{"info":"⇐≮⫘↔101110010010=≮⫘↔1001110000110","layer":3},{"info":"≮⫘↔10101101111100⇴∐≮⫘↔1001110000110=NaN","layer":2},{"info":"NaN∛NaN=≮⫘↔1000011","layer":1},{"info":"⇜≮⫘↔1000011=≮⫘↔-11001001100","layer":0}]}
{"id":514,"expression_no_base_symbol":"(($1272$⇚⪠)⪔$3591$≁↽≥$2777$)≦↸((⇁⨣⪵$2804$)⨐⩸⫘($1550$⫸⊐$3868$))↹⊜(⩏⊷≩(+⊝⨔($3381$⇷$2164$)))","expression":"((≮⫘↔10011111000⇚⪠)⪔≮⫘↔111000000111≁↽≥≮⫘↔101011011001)≦↸((⇁⨣⪵≮⫘↔101011110100)⨐⩸⫘(≮⫘↔11000001110⫸⊐≮⫘↔111100011100))↹⊜(⩏⊷≩(+⊝⨔(≮⫘↔110100110101⇷≮⫘↔100001110100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":99848,"operation_count":11,"complexity_ratio":9077.09090909091,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1272,"base":2}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3591,"base":2},"right_expr":{"type":"numeric_atoms","value":2777,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2804,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1550,"base":2},"right_expr":{"type":"numeric_atoms","value":3868,"base":2}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3381,"base":2},"right_expr":{"type":"numeric_atoms","value":2164,"base":2}}}}},"used_operators":["9bazX3JMtO","RygbFNSyEJ","GjBEYRfMaF","Loh9y4A90B","ncHt1X6cMc","fu6greOZ01","inkyxCbjAn","mqXw5SEYmG","uOZ1tnYMDE","DhbWaqg5eL","mp7IySMOzn"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","oWn0xqSxBt","3Oe9XWJUTD","3ViojmjbAp","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=3235968","layer":3},{"info":"number node, value=3591","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=2777, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=50973","layer":3},{"info":"compute binary expreesion, left_input=3235968, right_input=50973, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=2804","layer":4},{"info":"compute unary expreesion, input=2804, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1550","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=3868, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15347","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15347, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=3381","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=3381, right_input=2164, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4328","layer":3},{"info":"compute unary expreesion, input=4328, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2743","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2743, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011111000⇚⪠)⪔≮⫘↔111000000111≁↽≥≮⫘↔101011011001)≦↸((⇁⨣⪵≮⫘↔101011110100)⨐⩸⫘(≮⫘↔11000001110⫸⊐≮⫘↔111100011100))↹⊜(⩏⊷≩(+⊝⨔(≮⫘↔110100110101⇷≮⫘↔100001110100)))=NaN","reverse_text":"NaN=((≮⫘↔10011111000⇚⪠)⪔≮⫘↔111000000111≁↽≥≮⫘↔101011011001)≦↸((⇁⨣⪵≮⫘↔101011110100)⨐⩸⫘(≮⫘↔11000001110⫸⊐≮⫘↔111100011100))↹⊜(⩏⊷≩(+⊝⨔(≮⫘↔110100110101⇷≮⫘↔100001110100)))","cot":[{"info":"≮⫘↔10011111000⇚⪠=≮⫘↔1100010110000010000000","layer":3},{"info":"≮⫘↔111000000111≁↽≥≮⫘↔101011011001=≮⫘↔1100011100011101","layer":3},{"info":"≮⫘↔1100010110000010000000⪔≮⫘↔1100011100011101=≮⫘↔111000010","layer":2},{"info":"⇁⨣⪵≮⫘↔101011110100=NaN","layer":3},{"info":"≮⫘↔11000001110⫸⊐≮⫘↔111100011100=≮⫘↔11101111110011","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔11101111110011=NaN","layer":2},{"info":"≮⫘↔111000010≦↸NaN=NaN","layer":1},{"info":"≮⫘↔110100110101⇷≮⫘↔100001110100=≮⫘↔1000011101000","layer":3},{"info":"+⊝⨔≮⫘↔1000011101000=≮⫘↔10111110010","layer":2},{"info":"⩏⊷≩≮⫘↔10111110010=≮⫘↔101010110111","layer":1},{"info":"NaN↹⊜≮⫘↔101010110111=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"(($1180$⫌⩉⩟$3200$)⪪(⩪∧⨌$2558$)⪃↞⩐)⋹⋡⊁(($1418$⊮⊟↴$1502$∲⫓($3528$⊠≄⫣))⫒⫫($1015$⪢$2107$)⪃⊛⇣($7469$≦≮≮))","expression":"((≮⫘↔10010011100⫌⩉⩟≮⫘↔110010000000)⪪(⩪∧⨌≮⫘↔100111111110)⪃↞⩐)⋹⋡⊁((≮⫘↔10110001010⊮⊟↴≮⫘↔10111011110∲⫓(≮⫘↔110111001000⊠≄⫣))⫒⫫(≮⫘↔1111110111⪢≮⫘↔100000111011)⪃⊛⇣(≮⫘↔1110100101101≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19965,"operation_count":12,"complexity_ratio":1663.75,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1180,"base":2},"right_expr":{"type":"numeric_atoms","value":3200,"base":2}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2558,"base":2}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1418,"base":2},"right_expr":{"type":"numeric_atoms","value":1502,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3528,"base":2}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1015,"base":2},"right_expr":{"type":"numeric_atoms","value":2107,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7469,"base":2}}}}},"used_operators":["As8RqfVLgs","grXIztHqDa","xD69zh8xqp","XIIwhv8d0m","6iOiAJX1F8","6Ko8hGgeMq","i8ToyICDmI","QDVgd2eftb","DIvbN7qnHd","rrgAzCduG9","dWAJyo7jo9","D4vGDi5EA2"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","FU0Cs4j7VP","JclMnS0uGI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔101110100100111010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"number node, value=3200","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=3200, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2558","layer":4},{"info":"compute unary expreesion, input=2558, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=25580","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=25580, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=3929","layer":2},{"info":"compute unary expreesion, input=3929, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=23880","layer":1},{"info":"number node, value=1418","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=1502, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=3528","layer":4},{"info":"compute unary expreesion, input=3528, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2107, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7469","layer":4},{"info":"compute unary expreesion, input=7469, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-22407","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22407, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=23880, right_input=113, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=190778","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010011100⫌⩉⩟≮⫘↔110010000000)⪪(⩪∧⨌≮⫘↔100111111110)⪃↞⩐)⋹⋡⊁((≮⫘↔10110001010⊮⊟↴≮⫘↔10111011110∲⫓(≮⫘↔110111001000⊠≄⫣))⫒⫫(≮⫘↔1111110111⪢≮⫘↔100000111011)⪃⊛⇣(≮⫘↔1110100101101≦≮≮))=≮⫘↔101110100100111010","reverse_text":"≮⫘↔101110100100111010=((≮⫘↔10010011100⫌⩉⩟≮⫘↔110010000000)⪪(⩪∧⨌≮⫘↔100111111110)⪃↞⩐)⋹⋡⊁((≮⫘↔10110001010⊮⊟↴≮⫘↔10111011110∲⫓(≮⫘↔110111001000⊠≄⫣))⫒⫫(≮⫘↔1111110111⪢≮⫘↔100000111011)⪃⊛⇣(≮⫘↔1110100101101≦≮≮))","cot":[{"info":"≮⫘↔10010011100⫌⩉⩟≮⫘↔110010000000=≮⫘↔-110010","layer":3},{"info":"⩪∧⨌≮⫘↔100111111110=≮⫘↔110001111101100","layer":3},{"info":"≮⫘↔-110010⪪≮⫘↔110001111101100=≮⫘↔111101011001","layer":2},{"info":"≮⫘↔111101011001⪃↞⩐=≮⫘↔101110101001000","layer":1},{"info":"≮⫘↔10110001010⊮⊟↴≮⫘↔10111011110=≮⫘↔0","layer":3},{"info":"≮⫘↔110111001000⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔0∲⫓≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1111110111⪢≮⫘↔100000111011=NaN","layer":3},{"info":"≮⫘↔1110100101101≦≮≮=≮⫘↔-101011110000111","layer":3},{"info":"NaN⪃⊛⇣≮⫘↔-101011110000111=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔0⫒⫫≮⫘↔10011010010=≮⫘↔1110001","layer":1},{"info":"≮⫘↔101110101001000⋹⋡⊁≮⫘↔1110001=≮⫘↔101110100100111010","layer":0}]}
{"id":516,"expression_no_base_symbol":"(↓⇌($1553$↓⨍⋜))⨚⇆(($1762$⋐⇩⊬)∑⇟⊟($1078$∙∹∝$2300$))⇋≉","expression":"(↓⇌(≮⫘↔11000010001↓⨍⋜))⨚⇆((≮⫘↔11011100010⋐⇩⊬)∑⇟⊟(≮⫘↔10000110110∙∹∝≮⫘↔100011111100))⇋≉","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":46435,"operation_count":7,"complexity_ratio":6633.571428571428,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1553,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1762,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1078,"base":2},"right_expr":{"type":"numeric_atoms","value":2300,"base":2}}}}},"used_operators":["XIabStNQrY","lwHaAYXP2r","PxpmPgHHJV","3DVzLFNsE9","U7g4x0WXJJ","JuuLT1NoCs","HmxsFra2vL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1553","layer":4},{"info":"compute unary expreesion, input=1553, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute unary expreesion, input=6590, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=6590","layer":2},{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1762","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=2300, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1762, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=1762","layer":2},{"info":"compute binary expreesion, left_input=6590, right_input=1762, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↓⇌(≮⫘↔11000010001↓⨍⋜))⨚⇆((≮⫘↔11011100010⋐⇩⊬)∑⇟⊟(≮⫘↔10000110110∙∹∝≮⫘↔100011111100))⇋≉=NaN","reverse_text":"NaN=(↓⇌(≮⫘↔11000010001↓⨍⋜))⨚⇆((≮⫘↔11011100010⋐⇩⊬)∑⇟⊟(≮⫘↔10000110110∙∹∝≮⫘↔100011111100))⇋≉","cot":[{"info":"≮⫘↔11000010001↓⨍⋜=≮⫘↔1100110111110","layer":3},{"info":"↓⇌≮⫘↔1100110111110=≮⫘↔1100110111110","layer":2},{"info":"≮⫘↔11011100010⋐⇩⊬=≮⫘↔11011100010","layer":3},{"info":"≮⫘↔10000110110∙∹∝≮⫘↔100011111100=≮⫘↔0","layer":3},{"info":"≮⫘↔11011100010∑⇟⊟≮⫘↔0=≮⫘↔11011100010","layer":2},{"info":"≮⫘↔1100110111110⨚⇆≮⫘↔11011100010=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":517,"expression_no_base_symbol":"(($1400$⩁⩘$4854$⪥⨬⪅)⊴⇁⪶)∊∟⩊(∮($2541$⋹⋡⊁$3011$⩁⩘(⪁⇼$6241$)))","expression":"((≮⫘↔10101111000⩁⩘≮⫘↔1001011110110⪥⨬⪅)⊴⇁⪶)∊∟⩊(∮(≮⫘↔100111101101⋹⋡⊁≮⫘↔101111000011⩁⩘(⪁⇼≮⫘↔1100001100001)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65349,"operation_count":8,"complexity_ratio":8168.625,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1400,"base":2},"right_expr":{"type":"numeric_atoms","value":4854,"base":2}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2541,"base":2},"right_expr":{"type":"numeric_atoms","value":3011,"base":2}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":6241,"base":2}}}}},"used_operators":["ddLRYrp01A","oo9mF6JIpo","zNRQejTB5A","gub5Cegaqo","CqXKPLVYql","As8RqfVLgs","ZNVVrZ94lY"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","DpFCA1CohY","IWmyXbctLI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"≮⫘↔11010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=4854, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=20364","layer":3},{"info":"compute unary expreesion, input=20364, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=-16192","layer":1},{"info":"number node, value=2541","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=3011, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3761","layer":3},{"info":"number node, value=6241","layer":4},{"info":"compute unary expreesion, input=6241, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=3761, right_input=422, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=2636","layer":2},{"info":"compute unary expreesion, input=2636, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-16192, right_input=67, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=26","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101111000⩁⩘≮⫘↔1001011110110⪥⨬⪅)⊴⇁⪶)∊∟⩊(∮(≮⫘↔100111101101⋹⋡⊁≮⫘↔101111000011⩁⩘(⪁⇼≮⫘↔1100001100001)))=≮⫘↔11010","reverse_text":"≮⫘↔11010=((≮⫘↔10101111000⩁⩘≮⫘↔1001011110110⪥⨬⪅)⊴⇁⪶)∊∟⩊(∮(≮⫘↔100111101101⋹⋡⊁≮⫘↔101111000011⩁⩘(⪁⇼≮⫘↔1100001100001)))","cot":[{"info":"≮⫘↔10101111000⩁⩘≮⫘↔1001011110110=≮⫘↔100111110001100","layer":3},{"info":"≮⫘↔100111110001100⪥⨬⪅=≮⫘↔-111011001","layer":2},{"info":"≮⫘↔-111011001⊴⇁⪶=≮⫘↔-11111101000000","layer":1},{"info":"≮⫘↔100111101101⋹⋡⊁≮⫘↔101111000011=≮⫘↔111010110001","layer":3},{"info":"⪁⇼≮⫘↔1100001100001=≮⫘↔110100110","layer":3},{"info":"≮⫘↔111010110001⩁⩘≮⫘↔110100110=≮⫘↔101001001100","layer":2},{"info":"∮≮⫘↔101001001100=≮⫘↔1000011","layer":1},{"info":"≮⫘↔-11111101000000∊∟⩊≮⫘↔1000011=≮⫘↔11010","layer":0}]}
{"id":518,"expression_no_base_symbol":"($1251$⨔⇊$1993$⊍⩺⋍($3761$≫≃))↹⊜($1260$⨂≜$1919$⩨$1168$⇣⩺⋵$1088$)⇣⩺⋵(($3334$+$4167$)⊬⨰($3714$≬⇓$7225$)↱($2734$⊹∫⫚$5851$)⨂≜$8459$⪬$1566$)","expression":"(≮⫘↔10011100011⨔⇊≮⫘↔11111001001⊍⩺⋍(≮⫘↔111010110001≫≃))↹⊜(≮⫘↔10011101100⨂≜≮⫘↔11101111111⩨≮⫘↔10010010000⇣⩺⋵≮⫘↔10001000000)⇣⩺⋵((≮⫘↔110100000110+≮⫘↔1000001000111)⊬⨰(≮⫘↔111010000010≬⇓≮⫘↔1110000111001)↱(≮⫘↔101010101110⊹∫⫚≮⫘↔1011011011011)⨂≜≮⫘↔10000100001011⪬≮⫘↔11000011110)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2735,"operation_count":15,"complexity_ratio":182.33333333333334,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1251,"base":2},"right_expr":{"type":"numeric_atoms","value":1993,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3761,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1260,"base":2},"right_expr":{"type":"numeric_atoms","value":1919,"base":2}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1168,"base":2},"right_expr":{"type":"numeric_atoms","value":1088,"base":2}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3334,"base":2},"right_expr":{"type":"numeric_atoms","value":4167,"base":2}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3714,"base":2},"right_expr":{"type":"numeric_atoms","value":7225,"base":2}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2734,"base":2},"right_expr":{"type":"numeric_atoms","value":5851,"base":2}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":8459,"base":2},"right_expr":{"type":"numeric_atoms","value":1566,"base":2}}}}},"used_operators":["F4yD0voBRQ","9bazX3JMtO","OXDGMFPWZM","JclMnS0uGI","X99M06cbEe","2DlMacCsIx","k1SHOSEABc","SR5kFfdi6N","s3Fd5m9Dh2","W4YGzv6Whe","jWTQ2TZYIH","uWAJUKEvyW","Ez1Nq5fNfI"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"≮⫘↔-100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=1993, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1993","layer":3},{"info":"number node, value=3761","layer":4},{"info":"compute unary expreesion, input=3761, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8923","layer":3},{"info":"compute binary expreesion, left_input=1993, right_input=8923, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=1260","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=1919, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1168","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1088, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=3334","layer":4},{"info":"number node, value=4167","layer":4},{"info":"compute binary expreesion, left_input=3334, right_input=4167, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7501","layer":3},{"info":"number node, value=3714","layer":4},{"info":"number node, value=7225","layer":4},{"info":"compute binary expreesion, left_input=3714, right_input=7225, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=7501, right_input=-22, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6357","layer":2},{"info":"number node, value=2734","layer":4},{"info":"number node, value=5851","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=5851, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-356","layer":3},{"info":"number node, value=8459","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=8459, right_input=1566, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-356, right_input=1234, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6357, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10011100011⨔⇊≮⫘↔11111001001⊍⩺⋍(≮⫘↔111010110001≫≃))↹⊜(≮⫘↔10011101100⨂≜≮⫘↔11101111111⩨≮⫘↔10010010000⇣⩺⋵≮⫘↔10001000000)⇣⩺⋵((≮⫘↔110100000110+≮⫘↔1000001000111)⊬⨰(≮⫘↔111010000010≬⇓≮⫘↔1110000111001)↱(≮⫘↔101010101110⊹∫⫚≮⫘↔1011011011011)⨂≜≮⫘↔10000100001011⪬≮⫘↔11000011110)=≮⫘↔-100000100","reverse_text":"≮⫘↔-100000100=(≮⫘↔10011100011⨔⇊≮⫘↔11111001001⊍⩺⋍(≮⫘↔111010110001≫≃))↹⊜(≮⫘↔10011101100⨂≜≮⫘↔11101111111⩨≮⫘↔10010010000⇣⩺⋵≮⫘↔10001000000)⇣⩺⋵((≮⫘↔110100000110+≮⫘↔1000001000111)⊬⨰(≮⫘↔111010000010≬⇓≮⫘↔1110000111001)↱(≮⫘↔101010101110⊹∫⫚≮⫘↔1011011011011)⨂≜≮⫘↔10000100001011⪬≮⫘↔11000011110)","cot":[{"info":"≮⫘↔10011100011⨔⇊≮⫘↔11111001001=≮⫘↔11111001001","layer":3},{"info":"≮⫘↔111010110001≫≃=≮⫘↔10001011011011","layer":3},{"info":"≮⫘↔11111001001⊍⩺⋍≮⫘↔10001011011011=NaN","layer":2},{"info":"≮⫘↔10011101100⨂≜≮⫘↔11101111111=NaN","layer":3},{"info":"≮⫘↔10010010000⇣⩺⋵≮⫘↔10001000000=≮⫘↔-100000100","layer":3},{"info":"NaN⩨≮⫘↔-100000100=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"≮⫘↔110100000110+≮⫘↔1000001000111=≮⫘↔1110101001101","layer":3},{"info":"≮⫘↔111010000010≬⇓≮⫘↔1110000111001=≮⫘↔-10110","layer":3},{"info":"≮⫘↔1110101001101⊬⨰≮⫘↔-10110=≮⫘↔1100011010101","layer":2},{"info":"≮⫘↔101010101110⊹∫⫚≮⫘↔1011011011011=≮⫘↔-101100100","layer":3},{"info":"≮⫘↔10000100001011⪬≮⫘↔11000011110=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-101100100⨂≜≮⫘↔10011010010=NaN","layer":2},{"info":"≮⫘↔1100011010101↱NaN=NaN","layer":1},{"info":"NaN⇣⩺⋵NaN=≮⫘↔-100000100","layer":0}]}
{"id":519,"expression_no_base_symbol":"≘(($5684$⪘⨀)⩣⫁∢($1000$∧)⊍⩺⋍((⇵⪽$8004$)⇩))","expression":"≘((≮⫘↔1011000110100⪘⨀)⩣⫁∢(≮⫘↔1111101000∧)⊍⩺⋍((⇵⪽≮⫘↔1111101000100)⇩))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":319,"operation_count":7,"complexity_ratio":45.57142857142857,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":5684,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1000,"base":2}}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":8004,"base":2}}}}},"used_operators":["tcjXMdvYtA","OXDGMFPWZM","JDUIKTTSIa","aA7tF3KVD3","z63VuFQld9","vRio1gEz1j","ZGCBLdVRRX"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5684","layer":4},{"info":"compute unary expreesion, input=5684, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-11949","layer":3},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11949, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=8004","layer":4},{"info":"compute unary expreesion, input=8004, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≘((≮⫘↔1011000110100⪘⨀)⩣⫁∢(≮⫘↔1111101000∧)⊍⩺⋍((⇵⪽≮⫘↔1111101000100)⇩))=NaN","reverse_text":"NaN=≘((≮⫘↔1011000110100⪘⨀)⩣⫁∢(≮⫘↔1111101000∧)⊍⩺⋍((⇵⪽≮⫘↔1111101000100)⇩))","cot":[{"info":"≮⫘↔1011000110100⪘⨀=≮⫘↔-10111010101101","layer":3},{"info":"≮⫘↔1111101000∧=NaN","layer":3},{"info":"≮⫘↔-10111010101101⩣⫁∢NaN=NaN","layer":2},{"info":"⇵⪽≮⫘↔1111101000100=NaN","layer":3},{"info":"NaN⇩=NaN","layer":2},{"info":"NaN⊍⩺⋍NaN=NaN","layer":1},{"info":"≘NaN=NaN","layer":0}]}
{"id":520,"expression_no_base_symbol":"($1185$≹⇙⪍$1792$∼($2545$⨸⪁$6177$)⊉≛↸($1266$⨚$1091$)≎⪠($2191$⨚$1103$))⫲≸⪮(((⪁⇼$3878$)⊹∫⫚(⋠∜$2063$))≫≃)","expression":"(≮⫘↔10010100001≹⇙⪍≮⫘↔11100000000∼(≮⫘↔100111110001⨸⪁≮⫘↔1100000100001)⊉≛↸(≮⫘↔10011110010⨚≮⫘↔10001000011)≎⪠(≮⫘↔100010001111⨚≮⫘↔10001001111))⫲≸⪮(((⪁⇼≮⫘↔111100100110)⊹∫⫚(⋠∜≮⫘↔100000001111))≫≃)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19297,"operation_count":12,"complexity_ratio":1608.0833333333333,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1185,"base":2},"right_expr":{"type":"numeric_atoms","value":1792,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2545,"base":2},"right_expr":{"type":"numeric_atoms","value":6177,"base":2}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1266,"base":2},"right_expr":{"type":"numeric_atoms","value":1091,"base":2}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2191,"base":2},"right_expr":{"type":"numeric_atoms","value":1103,"base":2}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":3878,"base":2}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2063,"base":2}}}}},"used_operators":["P3lXMJvFrc","DZ8iAZOCBD","DyGG3AbaNP","AHs5Up7iyr","g55IO6H4Gj","aNhz54LH3e","nREPSIbpBE","X99M06cbEe","uWAJUKEvyW","ZNVVrZ94lY","ZJpFhNJr3x"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","BjRHVeLaeN","12rbrZMWeM","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1185","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1792, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2545","layer":4},{"info":"number node, value=6177","layer":4},{"info":"compute binary expreesion, left_input=2545, right_input=6177, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17444","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17444, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1091, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-898","layer":3},{"info":"number node, value=2191","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=1103, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=904","layer":3},{"info":"compute binary expreesion, left_input=-898, right_input=904, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=3878","layer":4},{"info":"compute unary expreesion, input=3878, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=10536","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=10536, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-228","layer":2},{"info":"compute unary expreesion, input=-228, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=945","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=945, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010100001≹⇙⪍≮⫘↔11100000000∼(≮⫘↔100111110001⨸⪁≮⫘↔1100000100001)⊉≛↸(≮⫘↔10011110010⨚≮⫘↔10001000011)≎⪠(≮⫘↔100010001111⨚≮⫘↔10001001111))⫲≸⪮(((⪁⇼≮⫘↔111100100110)⊹∫⫚(⋠∜≮⫘↔100000001111))≫≃)=NaN","reverse_text":"NaN=(≮⫘↔10010100001≹⇙⪍≮⫘↔11100000000∼(≮⫘↔100111110001⨸⪁≮⫘↔1100000100001)⊉≛↸(≮⫘↔10011110010⨚≮⫘↔10001000011)≎⪠(≮⫘↔100010001111⨚≮⫘↔10001001111))⫲≸⪮(((⪁⇼≮⫘↔111100100110)⊹∫⫚(⋠∜≮⫘↔100000001111))≫≃)","cot":[{"info":"≮⫘↔10010100001≹⇙⪍≮⫘↔11100000000=NaN","layer":3},{"info":"≮⫘↔100111110001⨸⪁≮⫘↔1100000100001=≮⫘↔100010000100100","layer":3},{"info":"NaN∼≮⫘↔100010000100100=NaN","layer":2},{"info":"≮⫘↔10011110010⨚≮⫘↔10001000011=≮⫘↔-1110000010","layer":3},{"info":"≮⫘↔100010001111⨚≮⫘↔10001001111=≮⫘↔1110001000","layer":3},{"info":"≮⫘↔-1110000010≎⪠≮⫘↔1110001000=≮⫘↔100110001100110","layer":2},{"info":"NaN⊉≛↸≮⫘↔100110001100110=NaN","layer":1},{"info":"⪁⇼≮⫘↔111100100110=≮⫘↔110100110","layer":3},{"info":"⋠∜≮⫘↔100000001111=≮⫘↔10100100101000","layer":3},{"info":"≮⫘↔110100110⊹∫⫚≮⫘↔10100100101000=≮⫘↔-11100100","layer":2},{"info":"≮⫘↔-11100100≫≃=≮⫘↔1110110001","layer":1},{"info":"NaN⫲≸⪮≮⫘↔1110110001=NaN","layer":0}]}
{"id":521,"expression_no_base_symbol":"∤($2732$↓$1322$⋥⋵⩄($2733$↬⩅∪)⩟)","expression":"∤(≮⫘↔101010101100↓≮⫘↔10100101010⋥⋵⩄(≮⫘↔101010101101↬⩅∪)⩟)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":18867,"operation_count":5,"complexity_ratio":3773.4,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2732,"base":2},"right_expr":{"type":"numeric_atoms","value":1322,"base":2}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2733,"base":2}}}}},"used_operators":["k2HlF1dBQh","fOIeswaMU4","7t3wd0Fuz7","Af076pWI7l","VJ330n2nnx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"≮⫘↔1001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2732","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=1322, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2733","layer":4},{"info":"compute unary expreesion, input=2733, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-8199","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-8199, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=80714","layer":2},{"info":"compute unary expreesion, input=80714, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-725199","layer":1},{"info":"compute unary expreesion, input=-725199, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":2,"result_base":2,"text":"∤(≮⫘↔101010101100↓≮⫘↔10100101010⋥⋵⩄(≮⫘↔101010101101↬⩅∪)⩟)=≮⫘↔1001","reverse_text":"≮⫘↔1001=∤(≮⫘↔101010101100↓≮⫘↔10100101010⋥⋵⩄(≮⫘↔101010101101↬⩅∪)⩟)","cot":[{"info":"≮⫘↔101010101100↓≮⫘↔10100101010=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔101010101101↬⩅∪=≮⫘↔-10000000000111","layer":3},{"info":"≮⫘↔-10000110⋥⋵⩄≮⫘↔-10000000000111=≮⫘↔10011101101001010","layer":2},{"info":"≮⫘↔10011101101001010⩟=≮⫘↔-10110001000011001111","layer":1},{"info":"∤≮⫘↔-10110001000011001111=≮⫘↔1001","layer":0}]}
{"id":522,"expression_no_base_symbol":"(($5017$↓⨍⋜)⇻⋧≁(∥⊫$1308$)⨒(∥⊫($4304$↬⩅∪)))⩧⪆(↴⪽⋼($3665$⩺⪪$3814$)⪎↠($8149$≧⫂∧$1635$))","expression":"((≮⫘↔1001110011001↓⨍⋜)⇻⋧≁(∥⊫≮⫘↔10100011100)⨒(∥⊫(≮⫘↔1000011010000↬⩅∪)))⩧⪆(↴⪽⋼(≮⫘↔111001010001⩺⪪≮⫘↔111011100110)⪎↠(≮⫘↔1111111010101≧⫂∧≮⫘↔11001100011))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7036,"operation_count":11,"complexity_ratio":639.6363636363636,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":5017,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1308,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":4304,"base":2}}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3665,"base":2},"right_expr":{"type":"numeric_atoms","value":3814,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8149,"base":2},"right_expr":{"type":"numeric_atoms","value":1635,"base":2}}}}},"used_operators":["Ikt5ks8PT7","y75s1iXyHd","jCPkEVoL5K","3DVzLFNsE9","P8v4zCKN1o","VJ330n2nnx","5TUYCnJO6w","3tVxb0NHM4","uvdQJvN4PV","Ph9nP6C5qx"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5017","layer":4},{"info":"compute unary expreesion, input=5017, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=1308","layer":4},{"info":"compute unary expreesion, input=1308, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2176","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=2176, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=4304","layer":4},{"info":"compute unary expreesion, input=4304, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-12912","layer":3},{"info":"compute unary expreesion, input=-12912, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-55, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"number node, value=3665","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=3814, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":3},{"info":"number node, value=8149","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=8149, right_input=1635, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1162","layer":3},{"info":"compute binary expreesion, left_input=1914, right_input=1162, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=160, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001110011001↓⨍⋜)⇻⋧≁(∥⊫≮⫘↔10100011100)⨒(∥⊫(≮⫘↔1000011010000↬⩅∪)))⩧⪆(↴⪽⋼(≮⫘↔111001010001⩺⪪≮⫘↔111011100110)⪎↠(≮⫘↔1111111010101≧⫂∧≮⫘↔11001100011))=≮⫘↔-10100000","reverse_text":"≮⫘↔-10100000=((≮⫘↔1001110011001↓⨍⋜)⇻⋧≁(∥⊫≮⫘↔10100011100)⨒(∥⊫(≮⫘↔1000011010000↬⩅∪)))⩧⪆(↴⪽⋼(≮⫘↔111001010001⩺⪪≮⫘↔111011100110)⪎↠(≮⫘↔1111111010101≧⫂∧≮⫘↔11001100011))","cot":[{"info":"≮⫘↔1001110011001↓⨍⋜=≮⫘↔1100110111110","layer":3},{"info":"∥⊫≮⫘↔10100011100=≮⫘↔100010000000","layer":3},{"info":"≮⫘↔1100110111110⇻⋧≁≮⫘↔100010000000=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔1000011010000↬⩅∪=≮⫘↔-11001001110000","layer":3},{"info":"∥⊫≮⫘↔-11001001110000=≮⫘↔-110111","layer":2},{"info":"≮⫘↔-110111111⨒≮⫘↔-110111=≮⫘↔1","layer":1},{"info":"≮⫘↔111001010001⩺⪪≮⫘↔111011100110=≮⫘↔11101111010","layer":3},{"info":"≮⫘↔1111111010101≧⫂∧≮⫘↔11001100011=≮⫘↔10010001010","layer":3},{"info":"≮⫘↔11101111010⪎↠≮⫘↔10010001010=≮⫘↔10100000","layer":2},{"info":"↴⪽⋼≮⫘↔10100000=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1⩧⪆≮⫘↔10100000=≮⫘↔-10100000","layer":0}]}
{"id":523,"expression_no_base_symbol":"(($4068$/$1102$)≋⫹)∌($7157$⊹∫⫚$3821$)≁↽≥($6980$⋷$1437$)⨚⇆($3590$⨂≜$2939$≦↸($1308$⩇∃⫛$3125$)≓∲(($4630$≝⊿$2449$)↠))","expression":"((≮⫘↔111111100100/≮⫘↔10001001110)≋⫹)∌(≮⫘↔1101111110101⊹∫⫚≮⫘↔111011101101)≁↽≥(≮⫘↔1101101000100⋷≮⫘↔10110011101)⨚⇆(≮⫘↔111000000110⨂≜≮⫘↔101101111011≦↸(≮⫘↔10100011100⩇∃⫛≮⫘↔110000110101)≓∲((≮⫘↔1001000010110≝⊿≮⫘↔100110010001)↠))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9688,"operation_count":13,"complexity_ratio":745.2307692307693,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4068,"base":2},"right_expr":{"type":"numeric_atoms","value":1102,"base":2}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":7157,"base":2},"right_expr":{"type":"numeric_atoms","value":3821,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6980,"base":2},"right_expr":{"type":"numeric_atoms","value":1437,"base":2}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3590,"base":2},"right_expr":{"type":"numeric_atoms","value":2939,"base":2}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1308,"base":2},"right_expr":{"type":"numeric_atoms","value":3125,"base":2}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4630,"base":2},"right_expr":{"type":"numeric_atoms","value":2449,"base":2}}}}},"used_operators":["lwHaAYXP2r","8cLx32lpNA","N41Kp7NANJ","XhwjNDsVaA","ncHt1X6cMc","uWAJUKEvyW","23Mk6UjR3U","s1XTVnmDOJ","RygbFNSyEJ","k1SHOSEABc","1aApVXNlOP","LBdsKIvxzf","OKKcZfAt5B"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","12rbrZMWeM"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4068","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=4068, right_input=1102, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6","layer":2},{"info":"number node, value=7157","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=7157, right_input=3821, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-160","layer":3},{"info":"number node, value=6980","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=6980, right_input=1437, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4106","layer":3},{"info":"compute binary expreesion, left_input=-160, right_input=-4106, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=196, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-196","layer":1},{"info":"number node, value=3590","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=3590, right_input=2939, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=3125","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=3125, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2290","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2290, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"number node, value=4630","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=4630, right_input=2449, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10061","layer":3},{"info":"compute unary expreesion, input=-10061, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-196, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111111100100/≮⫘↔10001001110)≋⫹)∌(≮⫘↔1101111110101⊹∫⫚≮⫘↔111011101101)≁↽≥(≮⫘↔1101101000100⋷≮⫘↔10110011101)⨚⇆(≮⫘↔111000000110⨂≜≮⫘↔101101111011≦↸(≮⫘↔10100011100⩇∃⫛≮⫘↔110000110101)≓∲((≮⫘↔1001000010110≝⊿≮⫘↔100110010001)↠))=-Inf","reverse_text":"-Inf=((≮⫘↔111111100100/≮⫘↔10001001110)≋⫹)∌(≮⫘↔1101111110101⊹∫⫚≮⫘↔111011101101)≁↽≥(≮⫘↔1101101000100⋷≮⫘↔10110011101)⨚⇆(≮⫘↔111000000110⨂≜≮⫘↔101101111011≦↸(≮⫘↔10100011100⩇∃⫛≮⫘↔110000110101)≓∲((≮⫘↔1001000010110≝⊿≮⫘↔100110010001)↠))","cot":[{"info":"≮⫘↔111111100100/≮⫘↔10001001110=≮⫘↔11","layer":3},{"info":"≮⫘↔11≋⫹=≮⫘↔-110","layer":2},{"info":"≮⫘↔1101111110101⊹∫⫚≮⫘↔111011101101=≮⫘↔-10100000","layer":3},{"info":"≮⫘↔1101101000100⋷≮⫘↔10110011101=≮⫘↔-1000000001010","layer":3},{"info":"≮⫘↔-10100000≁↽≥≮⫘↔-1000000001010=≮⫘↔11000100","layer":2},{"info":"≮⫘↔-110∌≮⫘↔11000100=≮⫘↔-11000100","layer":1},{"info":"≮⫘↔111000000110⨂≜≮⫘↔101101111011=NaN","layer":3},{"info":"≮⫘↔10100011100⩇∃⫛≮⫘↔110000110101=≮⫘↔100011110010","layer":3},{"info":"NaN≦↸≮⫘↔100011110010=NaN","layer":2},{"info":"≮⫘↔1001000010110≝⊿≮⫘↔100110010001=≮⫘↔-10011101001101","layer":3},{"info":"≮⫘↔-10011101001101↠=NaN","layer":2},{"info":"NaN≓∲NaN=NaN","layer":1},{"info":"≮⫘↔-11000100⨚⇆NaN=-Inf","layer":0}]}
{"id":524,"expression_no_base_symbol":"(⨆≐≲($2493$⊋≦⊧$3959$⩨($1930$⩘⨬⇊)))⪬∳","expression":"(⨆≐≲(≮⫘↔100110111101⊋≦⊧≮⫘↔111101110111⩨(≮⫘↔11110001010⩘⨬⇊)))⪬∳","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":508271,"operation_count":5,"complexity_ratio":101654.2,"tree":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2493,"base":2},"right_expr":{"type":"numeric_atoms","value":3959,"base":2}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1930,"base":2}}}}},"used_operators":["O9U3z1385E","Bi9z9uYZqW","2DlMacCsIx","oRDoc9rAEX","XXmTpEpWTW"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2493","layer":4},{"info":"number node, value=3959","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=3959, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-6212","layer":3},{"info":"number node, value=1930","layer":4},{"info":"compute unary expreesion, input=1930, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6212, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"compute unary expreesion, input=-168548, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⨆≐≲(≮⫘↔100110111101⊋≦⊧≮⫘↔111101110111⩨(≮⫘↔11110001010⩘⨬⇊)))⪬∳=≮⫘↔0","reverse_text":"≮⫘↔0=(⨆≐≲(≮⫘↔100110111101⊋≦⊧≮⫘↔111101110111⩨(≮⫘↔11110001010⩘⨬⇊)))⪬∳","cot":[{"info":"≮⫘↔100110111101⊋≦⊧≮⫘↔111101110111=≮⫘↔-1100001000100","layer":3},{"info":"≮⫘↔11110001010⩘⨬⇊=NaN","layer":3},{"info":"≮⫘↔-1100001000100⩨NaN=NaN","layer":2},{"info":"⨆≐≲NaN=≮⫘↔-101001001001100100","layer":1},{"info":"≮⫘↔-101001001001100100⪬∳=≮⫘↔0","layer":0}]}
{"id":525,"expression_no_base_symbol":"(($1456$↙$1419$)⇍⊗(↸⊣$2327$)⊍⩺⋍(≤/($3926$⫌⩉⩟$4172$)))⨽(⩷⨜⫀($5445$∌↝$1555$⫌⩉⩟$3674$⨽∌$4582$))","expression":"((≮⫘↔10110110000↙≮⫘↔10110001011)⇍⊗(↸⊣≮⫘↔100100010111)⊍⩺⋍(≤/(≮⫘↔111101010110⫌⩉⩟≮⫘↔1000001001100)))⨽(⩷⨜⫀(≮⫘↔1010101000101∌↝≮⫘↔11000010011⫌⩉⩟≮⫘↔111001011010⨽∌≮⫘↔1000111100110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32090,"operation_count":11,"complexity_ratio":2917.2727272727275,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1456,"base":2},"right_expr":{"type":"numeric_atoms","value":1419,"base":2}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2327,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3926,"base":2},"right_expr":{"type":"numeric_atoms","value":4172,"base":2}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5445,"base":2},"right_expr":{"type":"numeric_atoms","value":1555,"base":2}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3674,"base":2},"right_expr":{"type":"numeric_atoms","value":4582,"base":2}}}}},"used_operators":["8HhzD0ZcuI","OXDGMFPWZM","5uvYHDjeKN","yyfyN0ffXY","wztAlM01eG","eLAdDNolq6","XIIwhv8d0m","CDi0ktkjQ4","9Isq31Ruls","9samAPKr6k"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","tmPS8pqC7x","DpFCA1CohY","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","ruOEQAzv1W","nhYeJWJD5X","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1456","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=1419, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4257","layer":3},{"info":"number node, value=2327","layer":4},{"info":"compute unary expreesion, input=2327, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2040","layer":3},{"info":"compute binary expreesion, left_input=-4257, right_input=-2040, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=3926","layer":4},{"info":"number node, value=4172","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=4172, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=534","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=534, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=5445","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=5445, right_input=1555, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=3674","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=3674, right_input=4582, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=55, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110110000↙≮⫘↔10110001011)⇍⊗(↸⊣≮⫘↔100100010111)⊍⩺⋍(≤/(≮⫘↔111101010110⫌⩉⩟≮⫘↔1000001001100)))⨽(⩷⨜⫀(≮⫘↔1010101000101∌↝≮⫘↔11000010011⫌⩉⩟≮⫘↔111001011010⨽∌≮⫘↔1000111100110))=NaN","reverse_text":"NaN=((≮⫘↔10110110000↙≮⫘↔10110001011)⇍⊗(↸⊣≮⫘↔100100010111)⊍⩺⋍(≤/(≮⫘↔111101010110⫌⩉⩟≮⫘↔1000001001100)))⨽(⩷⨜⫀(≮⫘↔1010101000101∌↝≮⫘↔11000010011⫌⩉⩟≮⫘↔111001011010⨽∌≮⫘↔1000111100110))","cot":[{"info":"≮⫘↔10110110000↙≮⫘↔10110001011=≮⫘↔-1000010100001","layer":3},{"info":"↸⊣≮⫘↔100100010111=≮⫘↔-11111111000","layer":3},{"info":"≮⫘↔-1000010100001⇍⊗≮⫘↔-11111111000=≮⫘↔-11110100","layer":2},{"info":"≮⫘↔111101010110⫌⩉⩟≮⫘↔1000001001100=≮⫘↔-110010","layer":3},{"info":"≤/≮⫘↔-110010=≮⫘↔1000010110","layer":2},{"info":"≮⫘↔-11110100⊍⩺⋍≮⫘↔1000010110=NaN","layer":1},{"info":"≮⫘↔1010101000101∌↝≮⫘↔11000010011=≮⫘↔0","layer":3},{"info":"≮⫘↔111001011010⨽∌≮⫘↔1000111100110=≮⫘↔0","layer":3},{"info":"≮⫘↔0⫌⩉⩟≮⫘↔0=≮⫘↔11011010","layer":2},{"info":"⩷⨜⫀≮⫘↔11011010=≮⫘↔110111","layer":1},{"info":"NaN⨽≮⫘↔110111=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"(($5775$⇉⇱⇎)⇟⨁⪰)⊋≦⊧$1124$⫯⪬∳$2060$⫁⪎($2015$⪁$4450$)≭($4957$⋥⋵⩄$5522$≬⋮$4650$⩧⪆$3691$)⫲≸⪮($1394$⫲≸⪮$5378$)⊴($4434$⨑≵⋬$2538$)","expression":"((≮⫘↔1011010001111⇉⇱⇎)⇟⨁⪰)⊋≦⊧≮⫘↔10001100100⫯⪬∳≮⫘↔100000001100⫁⪎(≮⫘↔11111011111⪁≮⫘↔1000101100010)≭(≮⫘↔1001101011101⋥⋵⩄≮⫘↔1010110010010≬⋮≮⫘↔1001000101010⩧⪆≮⫘↔111001101011)⫲≸⪮(≮⫘↔10101110010⫲≸⪮≮⫘↔1010100000010)⊴(≮⫘↔1000101010010⨑≵⋬≮⫘↔100111101010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":304003718,"operation_count":14,"complexity_ratio":21714551.285714287,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":5775,"base":2}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1124,"base":2},"right_expr":{"type":"numeric_atoms","value":2060,"base":2}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2015,"base":2},"right_expr":{"type":"numeric_atoms","value":4450,"base":2}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4957,"base":2},"right_expr":{"type":"numeric_atoms","value":5522,"base":2}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4650,"base":2},"right_expr":{"type":"numeric_atoms","value":3691,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1394,"base":2},"right_expr":{"type":"numeric_atoms","value":5378,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4434,"base":2},"right_expr":{"type":"numeric_atoms","value":2538,"base":2}}}}},"used_operators":["rxpJgHHUmx","oRDoc9rAEX","BX1lVwlMe0","MRPaB8lBjK","xRrnTEsQ6j","d7ASUq0ydm","I7sXao9hZE","P3lXMJvFrc","kbkesczE7y","7t3wd0Fuz7","Ikt5ks8PT7","Nsiff2A1zJ","XnXgA4xnOs"],"dependent_operators":["AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","2DDjHMKMc0","xUOZtlo3hN","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eewbuw0ToL","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5775","layer":4},{"info":"compute unary expreesion, input=5775, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-5557","layer":3},{"info":"compute unary expreesion, input=-5557, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=5383","layer":2},{"info":"number node, value=1124","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=2060, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3593","layer":3},{"info":"number node, value=2015","layer":4},{"info":"number node, value=4450","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=4450, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3593, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5383, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=4957","layer":4},{"info":"number node, value=5522","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=5522, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=4650","layer":4},{"info":"number node, value=3691","layer":4},{"info":"compute binary expreesion, left_input=4650, right_input=3691, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3691","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-3691, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1394","layer":4},{"info":"number node, value=5378","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=5378, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1394","layer":3},{"info":"number node, value=4434","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=4434, right_input=2538, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=5783","layer":3},{"info":"compute binary expreesion, left_input=1394, right_input=5783, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1011010001111⇉⇱⇎)⇟⨁⪰)⊋≦⊧≮⫘↔10001100100⫯⪬∳≮⫘↔100000001100⫁⪎(≮⫘↔11111011111⪁≮⫘↔1000101100010)≭(≮⫘↔1001101011101⋥⋵⩄≮⫘↔1010110010010≬⋮≮⫘↔1001000101010⩧⪆≮⫘↔111001101011)⫲≸⪮(≮⫘↔10101110010⫲≸⪮≮⫘↔1010100000010)⊴(≮⫘↔1000101010010⨑≵⋬≮⫘↔100111101010)=NaN","reverse_text":"NaN=((≮⫘↔1011010001111⇉⇱⇎)⇟⨁⪰)⊋≦⊧≮⫘↔10001100100⫯⪬∳≮⫘↔100000001100⫁⪎(≮⫘↔11111011111⪁≮⫘↔1000101100010)≭(≮⫘↔1001101011101⋥⋵⩄≮⫘↔1010110010010≬⋮≮⫘↔1001000101010⩧⪆≮⫘↔111001101011)⫲≸⪮(≮⫘↔10101110010⫲≸⪮≮⫘↔1010100000010)⊴(≮⫘↔1000101010010⨑≵⋬≮⫘↔100111101010)","cot":[{"info":"≮⫘↔1011010001111⇉⇱⇎=≮⫘↔-1010110110101","layer":3},{"info":"≮⫘↔-1010110110101⇟⨁⪰=≮⫘↔1010100000111","layer":2},{"info":"≮⫘↔10001100100⫯⪬∳≮⫘↔100000001100=≮⫘↔111000001001","layer":3},{"info":"≮⫘↔11111011111⪁≮⫘↔1000101100010=NaN","layer":3},{"info":"≮⫘↔111000001001⫁⪎NaN=NaN","layer":2},{"info":"≮⫘↔1010100000111⊋≦⊧NaN=NaN","layer":1},{"info":"≮⫘↔1001101011101⋥⋵⩄≮⫘↔1010110010010=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1001000101010⩧⪆≮⫘↔111001101011=≮⫘↔-111001101011","layer":3},{"info":"≮⫘↔1110001≬⋮≮⫘↔-111001101011=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔10101110010⫲≸⪮≮⫘↔1010100000010=≮⫘↔10101110010","layer":3},{"info":"≮⫘↔1000101010010⨑≵⋬≮⫘↔100111101010=≮⫘↔1011010010111","layer":3},{"info":"≮⫘↔10101110010⊴≮⫘↔1011010010111=NaN","layer":2},{"info":"≮⫘↔1101100100⫲≸⪮NaN=≮⫘↔1101100100","layer":1},{"info":"NaN≭≮⫘↔1101100100=NaN","layer":0}]}
{"id":527,"expression_no_base_symbol":"(⨝⨆(⫇$2797$)⩧⪆$1460$⩖⊿$2447$)⊝⪿⪼(($1951$⩁⩘$1407$)⫗⊷⫓($6328$⊔$1412$)⫲≸⪮(≔($6929$⋆⋳)))","expression":"(⨝⨆(⫇≮⫘↔101011101101)⩧⪆≮⫘↔10110110100⩖⊿≮⫘↔100110001111)⊝⪿⪼((≮⫘↔11110011111⩁⩘≮⫘↔10101111111)⫗⊷⫓(≮⫘↔1100010111000⊔≮⫘↔10110000100)⫲≸⪮(≔(≮⫘↔1101100010001⋆⋳)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":935,"operation_count":11,"complexity_ratio":85.0,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2797,"base":2}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1460,"base":2},"right_expr":{"type":"numeric_atoms","value":2447,"base":2}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1951,"base":2},"right_expr":{"type":"numeric_atoms","value":1407,"base":2}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":6328,"base":2},"right_expr":{"type":"numeric_atoms","value":1412,"base":2}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":6929,"base":2}}}}},"used_operators":["3Oe9XWJUTD","bQ67fsrMVf","Ikt5ks8PT7","YjI8oCXuph","RZ5CV9rWsJ","P3lXMJvFrc","zashukvMKz","gub5Cegaqo","E4l6HwMY31","8FLs4eVsLt","6MpZysEj17"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tifHPKVTfV","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"≮⫘↔-110000010101111101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2797","layer":4},{"info":"compute unary expreesion, input=2797, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4380","layer":3},{"info":"number node, value=1460","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=2447, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=13654","layer":3},{"info":"compute binary expreesion, left_input=-4380, right_input=13654, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-13654","layer":2},{"info":"compute unary expreesion, input=-13654, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-13863","layer":1},{"info":"number node, value=1951","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=1407, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6576","layer":3},{"info":"number node, value=6328","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=1412, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=17316","layer":3},{"info":"compute binary expreesion, left_input=6576, right_input=17316, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=6929","layer":4},{"info":"compute unary expreesion, input=6929, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-13890","layer":3},{"info":"compute unary expreesion, input=-13890, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=390214","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=390214, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-13863, right_input=-134, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-198013","layer":0}],"base":2,"result_base":2,"text":"(⨝⨆(⫇≮⫘↔101011101101)⩧⪆≮⫘↔10110110100⩖⊿≮⫘↔100110001111)⊝⪿⪼((≮⫘↔11110011111⩁⩘≮⫘↔10101111111)⫗⊷⫓(≮⫘↔1100010111000⊔≮⫘↔10110000100)⫲≸⪮(≔(≮⫘↔1101100010001⋆⋳)))=≮⫘↔-110000010101111101","reverse_text":"≮⫘↔-110000010101111101=(⨝⨆(⫇≮⫘↔101011101101)⩧⪆≮⫘↔10110110100⩖⊿≮⫘↔100110001111)⊝⪿⪼((≮⫘↔11110011111⩁⩘≮⫘↔10101111111)⫗⊷⫓(≮⫘↔1100010111000⊔≮⫘↔10110000100)⫲≸⪮(≔(≮⫘↔1101100010001⋆⋳)))","cot":[{"info":"⫇≮⫘↔101011101101=≮⫘↔-1000100011100","layer":3},{"info":"≮⫘↔10110110100⩖⊿≮⫘↔100110001111=≮⫘↔11010101010110","layer":3},{"info":"≮⫘↔-1000100011100⩧⪆≮⫘↔11010101010110=≮⫘↔-11010101010110","layer":2},{"info":"⨝⨆≮⫘↔-11010101010110=≮⫘↔-11011000100111","layer":1},{"info":"≮⫘↔11110011111⩁⩘≮⫘↔10101111111=≮⫘↔1100110110000","layer":3},{"info":"≮⫘↔1100010111000⊔≮⫘↔10110000100=≮⫘↔100001110100100","layer":3},{"info":"≮⫘↔1100110110000⫗⊷⫓≮⫘↔100001110100100=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔1101100010001⋆⋳=≮⫘↔-11011001000010","layer":3},{"info":"≔≮⫘↔-11011001000010=≮⫘↔1011111010001000110","layer":2},{"info":"≮⫘↔-10000110⫲≸⪮≮⫘↔1011111010001000110=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔-11011000100111⊝⪿⪼≮⫘↔-10000110=≮⫘↔-110000010101111101","layer":0}]}
{"id":528,"expression_no_base_symbol":"(($2803$⩧⪆$2209$)⊋($5580$⫃⨇$8013$))⋹⋡⊁(($1641$⩌⋺$5052$)⫞⩸⩒($1993$∈))↺($1774$∑⇟⊟$3029$)⩣⫁∢($2821$⩨$4990$)⪭(⊤⊝$5013$⩚⊴⇥$3063$)","expression":"((≮⫘↔101011110011⩧⪆≮⫘↔100010100001)⊋(≮⫘↔1010111001100⫃⨇≮⫘↔1111101001101))⋹⋡⊁((≮⫘↔11001101001⩌⋺≮⫘↔1001110111100)⫞⩸⩒(≮⫘↔11111001001∈))↺(≮⫘↔11011101110∑⇟⊟≮⫘↔101111010101)⩣⫁∢(≮⫘↔101100000101⩨≮⫘↔1001101111110)⪭(⊤⊝≮⫘↔1001110010101⩚⊴⇥≮⫘↔101111110111)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":161,"operation_count":14,"complexity_ratio":11.5,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2803,"base":2},"right_expr":{"type":"numeric_atoms","value":2209,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5580,"base":2},"right_expr":{"type":"numeric_atoms","value":8013,"base":2}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1641,"base":2},"right_expr":{"type":"numeric_atoms","value":5052,"base":2}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1993,"base":2}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1774,"base":2},"right_expr":{"type":"numeric_atoms","value":3029,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2821,"base":2},"right_expr":{"type":"numeric_atoms","value":4990,"base":2}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5013,"base":2},"right_expr":{"type":"numeric_atoms","value":3063,"base":2}}}}},"used_operators":["7j4O788W3g","As8RqfVLgs","W4tP9CfskL","Ikt5ks8PT7","09Ly4LVMIf","XGcMNugi78","g7Hmc5v1ko","ztP7wcbY7m","j9kHMeSvPp","JDUIKTTSIa","U7g4x0WXJJ","2DlMacCsIx","rXAclfmB4M","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","COABgblf1C","xUOZtlo3hN","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2803","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=2803, right_input=2209, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2209","layer":3},{"info":"number node, value=5580","layer":4},{"info":"number node, value=8013","layer":4},{"info":"compute binary expreesion, left_input=5580, right_input=8013, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-32084","layer":3},{"info":"compute binary expreesion, left_input=-2209, right_input=-32084, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-647134","layer":2},{"info":"number node, value=1641","layer":4},{"info":"number node, value=5052","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=5052, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6814","layer":3},{"info":"number node, value=1993","layer":4},{"info":"compute unary expreesion, input=1993, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=5308","layer":3},{"info":"compute binary expreesion, left_input=-6814, right_input=5308, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-6814","layer":2},{"info":"compute binary expreesion, left_input=-647134, right_input=-6814, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=10353882","layer":1},{"info":"number node, value=1774","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=3029, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2821","layer":4},{"info":"number node, value=4990","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=4990, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=5013","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=5013, right_input=3063, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8197","layer":3},{"info":"compute unary expreesion, input=-8197, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-17692","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17692, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=10353882, right_input=5, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101011110011⩧⪆≮⫘↔100010100001)⊋(≮⫘↔1010111001100⫃⨇≮⫘↔1111101001101))⋹⋡⊁((≮⫘↔11001101001⩌⋺≮⫘↔1001110111100)⫞⩸⩒(≮⫘↔11111001001∈))↺(≮⫘↔11011101110∑⇟⊟≮⫘↔101111010101)⩣⫁∢(≮⫘↔101100000101⩨≮⫘↔1001101111110)⪭(⊤⊝≮⫘↔1001110010101⩚⊴⇥≮⫘↔101111110111)=≮⫘↔101","reverse_text":"≮⫘↔101=((≮⫘↔101011110011⩧⪆≮⫘↔100010100001)⊋(≮⫘↔1010111001100⫃⨇≮⫘↔1111101001101))⋹⋡⊁((≮⫘↔11001101001⩌⋺≮⫘↔1001110111100)⫞⩸⩒(≮⫘↔11111001001∈))↺(≮⫘↔11011101110∑⇟⊟≮⫘↔101111010101)⩣⫁∢(≮⫘↔101100000101⩨≮⫘↔1001101111110)⪭(⊤⊝≮⫘↔1001110010101⩚⊴⇥≮⫘↔101111110111)","cot":[{"info":"≮⫘↔101011110011⩧⪆≮⫘↔100010100001=≮⫘↔-100010100001","layer":3},{"info":"≮⫘↔1010111001100⫃⨇≮⫘↔1111101001101=≮⫘↔-111110101010100","layer":3},{"info":"≮⫘↔-100010100001⊋≮⫘↔-111110101010100=≮⫘↔-10011101111111011110","layer":2},{"info":"≮⫘↔11001101001⩌⋺≮⫘↔1001110111100=≮⫘↔-1101010011110","layer":3},{"info":"≮⫘↔11111001001∈=≮⫘↔1010010111100","layer":3},{"info":"≮⫘↔-1101010011110⫞⩸⩒≮⫘↔1010010111100=≮⫘↔-1101010011110","layer":2},{"info":"≮⫘↔-10011101111111011110⋹⋡⊁≮⫘↔-1101010011110=≮⫘↔100111011111110011011010","layer":1},{"info":"≮⫘↔11011101110∑⇟⊟≮⫘↔101111010101=NaN","layer":3},{"info":"≮⫘↔101100000101⩨≮⫘↔1001101111110=≮⫘↔-11","layer":3},{"info":"NaN⩣⫁∢≮⫘↔-11=NaN","layer":2},{"info":"≮⫘↔1001110010101⩚⊴⇥≮⫘↔101111110111=≮⫘↔-10000000000101","layer":3},{"info":"⊤⊝≮⫘↔-10000000000101=≮⫘↔-100010100011100","layer":2},{"info":"NaN⪭≮⫘↔-100010100011100=≮⫘↔101","layer":1},{"info":"≮⫘↔100111011111110011011010↺≮⫘↔101=≮⫘↔101","layer":0}]}
{"id":529,"expression_no_base_symbol":"(⇾⩊⇾((≋$1296$)≦≮≮))∷(↴⪽⋼$1400$⊮⊟↴$5876$)⫥∨⫟$7558$⨫⇇↔$1958$≃$3235$⨰$1603$","expression":"(⇾⩊⇾((≋≮⫘↔10100010000)≦≮≮))∷(↴⪽⋼≮⫘↔10101111000⊮⊟↴≮⫘↔1011011110100)⫥∨⫟≮⫘↔1110110000110⨫⇇↔≮⫘↔11110100110≃≮⫘↔110010100011⨰≮⫘↔11001000011","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":256,"operation_count":10,"complexity_ratio":25.6,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1296,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1400,"base":2},"right_expr":{"type":"numeric_atoms","value":5876,"base":2}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":7558,"base":2},"right_expr":{"type":"numeric_atoms","value":1958,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3235,"base":2},"right_expr":{"type":"numeric_atoms","value":1603,"base":2}}}}},"used_operators":["D3AQDKkPcf","bx9Z9DAK5y","D4vGDi5EA2","61wBmkZwlr","KYD54nUTWz","5TUYCnJO6w","QDVgd2eftb","YbVcJGFEVW","LXhwmt4mBO","eewbuw0ToL"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","8HhzD0ZcuI","rGHVDoGpnC","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1296","layer":3},{"info":"compute unary expreesion, input=1296, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3888","layer":2},{"info":"compute unary expreesion, input=-3888, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=28506","layer":1},{"info":"number node, value=1400","layer":4},{"info":"number node, value=5876","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=5876, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=0","layer":2},{"info":"number node, value=7558","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=7558, right_input=1958, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3235","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=3235, right_input=1603, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1642","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=1642, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=1034","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1034, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=28506, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇾⩊⇾((≋≮⫘↔10100010000)≦≮≮))∷(↴⪽⋼≮⫘↔10101111000⊮⊟↴≮⫘↔1011011110100)⫥∨⫟≮⫘↔1110110000110⨫⇇↔≮⫘↔11110100110≃≮⫘↔110010100011⨰≮⫘↔11001000011=NaN","reverse_text":"NaN=(⇾⩊⇾((≋≮⫘↔10100010000)≦≮≮))∷(↴⪽⋼≮⫘↔10101111000⊮⊟↴≮⫘↔1011011110100)⫥∨⫟≮⫘↔1110110000110⨫⇇↔≮⫘↔11110100110≃≮⫘↔110010100011⨰≮⫘↔11001000011","cot":[{"info":"≋≮⫘↔10100010000=≮⫘↔10100010000","layer":3},{"info":"≮⫘↔10100010000≦≮≮=≮⫘↔-111100110000","layer":2},{"info":"⇾⩊⇾≮⫘↔-111100110000=≮⫘↔110111101011010","layer":1},{"info":"≮⫘↔10101111000⊮⊟↴≮⫘↔1011011110100=≮⫘↔0","layer":3},{"info":"↴⪽⋼≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1110110000110⨫⇇↔≮⫘↔11110100110=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔110010100011⨰≮⫘↔11001000011=≮⫘↔11001101010","layer":3},{"info":"≮⫘↔-1000001111≃≮⫘↔11001101010=≮⫘↔10000001010","layer":2},{"info":"≮⫘↔0⫥∨⫟≮⫘↔10000001010=NaN","layer":1},{"info":"≮⫘↔110111101011010∷NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"($2728$⋹⋡⊁$7533$∓⋝$4424$⋹⋡⊁$1859$∲⫓($1484$⫏⊷)∌$2085$⫣⪄⊒$6226$)⫗⊷⫓((⩷⨜⫀($1333$⨐$3787$))⇷((⊿$5352$)⋆⋳))","expression":"(≮⫘↔101010101000⋹⋡⊁≮⫘↔1110101101101∓⋝≮⫘↔1000101001000⋹⋡⊁≮⫘↔11101000011∲⫓(≮⫘↔10111001100⫏⊷)∌≮⫘↔100000100101⫣⪄⊒≮⫘↔1100001010010)⫗⊷⫓((⩷⨜⫀(≮⫘↔10100110101⨐≮⫘↔111011001011))⇷((⊿≮⫘↔1010011101000)⋆⋳))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":142522,"operation_count":13,"complexity_ratio":10963.23076923077,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2728,"base":2},"right_expr":{"type":"numeric_atoms","value":7533,"base":2}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4424,"base":2},"right_expr":{"type":"numeric_atoms","value":1859,"base":2}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1484,"base":2}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2085,"base":2},"right_expr":{"type":"numeric_atoms","value":6226,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1333,"base":2},"right_expr":{"type":"numeric_atoms","value":3787,"base":2}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":5352,"base":2}}}}},"used_operators":["zashukvMKz","i8ToyICDmI","PoHhknlbAi","As8RqfVLgs","8cLx32lpNA","dcShxvzhyw","RabNbG55vr","mp7IySMOzn","CDi0ktkjQ4","Noe24qw2ks","6MpZysEj17","DO4fhlbJSI"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","ruOEQAzv1W","nhYeJWJD5X","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2728","layer":4},{"info":"number node, value=7533","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=7533, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=8283","layer":3},{"info":"number node, value=4424","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=4424, right_input=1859, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2609","layer":3},{"info":"compute binary expreesion, left_input=8283, right_input=2609, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=1484","layer":4},{"info":"compute unary expreesion, input=1484, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=2085","layer":4},{"info":"number node, value=6226","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=6226, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-33698","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=-33698, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-820, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=67","layer":1},{"info":"number node, value=1333","layer":4},{"info":"number node, value=3787","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=3787, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2666","layer":3},{"info":"compute unary expreesion, input=-2666, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"number node, value=5352","layer":4},{"info":"compute unary expreesion, input=5352, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-22146","layer":3},{"info":"compute unary expreesion, input=-22146, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=44260","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=44260, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=88520","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=88520, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101010101000⋹⋡⊁≮⫘↔1110101101101∓⋝≮⫘↔1000101001000⋹⋡⊁≮⫘↔11101000011∲⫓(≮⫘↔10111001100⫏⊷)∌≮⫘↔100000100101⫣⪄⊒≮⫘↔1100001010010)⫗⊷⫓((⩷⨜⫀(≮⫘↔10100110101⨐≮⫘↔111011001011))⇷((⊿≮⫘↔1010011101000)⋆⋳))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=(≮⫘↔101010101000⋹⋡⊁≮⫘↔1110101101101∓⋝≮⫘↔1000101001000⋹⋡⊁≮⫘↔11101000011∲⫓(≮⫘↔10111001100⫏⊷)∌≮⫘↔100000100101⫣⪄⊒≮⫘↔1100001010010)⫗⊷⫓((⩷⨜⫀(≮⫘↔10100110101⨐≮⫘↔111011001011))⇷((⊿≮⫘↔1010011101000)⋆⋳))","cot":[{"info":"≮⫘↔101010101000⋹⋡⊁≮⫘↔1110101101101=≮⫘↔10000001011011","layer":3},{"info":"≮⫘↔1000101001000⋹⋡⊁≮⫘↔11101000011=≮⫘↔101000110001","layer":3},{"info":"≮⫘↔10000001011011∓⋝≮⫘↔101000110001=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10111001100⫏⊷=≮⫘↔-1100110100","layer":3},{"info":"≮⫘↔100000100101⫣⪄⊒≮⫘↔1100001010010=≮⫘↔-1000001110100010","layer":3},{"info":"≮⫘↔-1100110100∌≮⫘↔-1000001110100010=≮⫘↔-1100110100","layer":2},{"info":"≮⫘↔1000011∲⫓≮⫘↔-1100110100=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10100110101⨐≮⫘↔111011001011=≮⫘↔-101001101010","layer":3},{"info":"⩷⨜⫀≮⫘↔-101001101010=≮⫘↔-1011111110","layer":2},{"info":"⊿≮⫘↔1010011101000=≮⫘↔-101011010000010","layer":3},{"info":"≮⫘↔-101011010000010⋆⋳=≮⫘↔1010110011100100","layer":2},{"info":"≮⫘↔-1011111110⇷≮⫘↔1010110011100100=≮⫘↔10101100111001000","layer":1},{"info":"≮⫘↔1000011⫗⊷⫓≮⫘↔10101100111001000=≮⫘↔-10000110","layer":0}]}
{"id":531,"expression_no_base_symbol":"($2527$⊊)≹⇙⪍$3809$↞⋁$1670$∲⫓$5048$≒∊$1036$⨎($1080$∀⊥⇻)⫚↹⊑(($5454$⫸⇳$1640$)⊪)⊬⨰($2853$⨚$2547$)↓$1249$⋕⪉⪜$3846$","expression":"(≮⫘↔100111011111⊊)≹⇙⪍≮⫘↔111011100001↞⋁≮⫘↔11010000110∲⫓≮⫘↔1001110111000≒∊≮⫘↔10000001100⨎(≮⫘↔10000111000∀⊥⇻)⫚↹⊑((≮⫘↔1010101001110⫸⇳≮⫘↔11001101000)⊪)⊬⨰(≮⫘↔101100100101⨚≮⫘↔100111110011)↓≮⫘↔10011100001⋕⪉⪜≮⫘↔111100000110","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3702,"operation_count":14,"complexity_ratio":264.42857142857144,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":2527,"base":2}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3809,"base":2},"right_expr":{"type":"numeric_atoms","value":1670,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5048,"base":2},"right_expr":{"type":"numeric_atoms","value":1036,"base":2}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1080,"base":2}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5454,"base":2},"right_expr":{"type":"numeric_atoms","value":1640,"base":2}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2853,"base":2},"right_expr":{"type":"numeric_atoms","value":2547,"base":2}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1249,"base":2},"right_expr":{"type":"numeric_atoms","value":3846,"base":2}}}}},"used_operators":["dfKe02y8D2","i8ToyICDmI","AHs5Up7iyr","W9R8I5fN5A","RqrPlJkxDo","rJVOvQCfKK","5KTvxBwnZo","k4iM1060OG","s3Fd5m9Dh2","zVYPLywUTj","gx7XJ7hdpj","Af076pWI7l","nREPSIbpBE","z6LnFrNh4i"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","BjRHVeLaeN","12rbrZMWeM","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"≮⫘↔-110111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2527","layer":4},{"info":"compute unary expreesion, input=2527, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"number node, value=3809","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=1670, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5048","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=5048, right_input=1036, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4564","layer":3},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4564, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=5454","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=5454, right_input=1640, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"number node, value=2853","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=2547, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3548","layer":3},{"info":"number node, value=1249","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=3846, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=-3548, right_input=204, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=6900","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6900, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=27600","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=27600, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100111011111⊊)≹⇙⪍≮⫘↔111011100001↞⋁≮⫘↔11010000110∲⫓≮⫘↔1001110111000≒∊≮⫘↔10000001100⨎(≮⫘↔10000111000∀⊥⇻)⫚↹⊑((≮⫘↔1010101001110⫸⇳≮⫘↔11001101000)⊪)⊬⨰(≮⫘↔101100100101⨚≮⫘↔100111110011)↓≮⫘↔10011100001⋕⪉⪜≮⫘↔111100000110=≮⫘↔-110111111","reverse_text":"≮⫘↔-110111111=(≮⫘↔100111011111⊊)≹⇙⪍≮⫘↔111011100001↞⋁≮⫘↔11010000110∲⫓≮⫘↔1001110111000≒∊≮⫘↔10000001100⨎(≮⫘↔10000111000∀⊥⇻)⫚↹⊑((≮⫘↔1010101001110⫸⇳≮⫘↔11001101000)⊪)⊬⨰(≮⫘↔101100100101⨚≮⫘↔100111110011)↓≮⫘↔10011100001⋕⪉⪜≮⫘↔111100000110","cot":[{"info":"≮⫘↔100111011111⊊=≮⫘↔10110001100101111","layer":3},{"info":"≮⫘↔111011100001↞⋁≮⫘↔11010000110=NaN","layer":3},{"info":"≮⫘↔10110001100101111≹⇙⪍NaN=NaN","layer":2},{"info":"≮⫘↔1001110111000≒∊≮⫘↔10000001100=≮⫘↔-1000111010100","layer":3},{"info":"≮⫘↔10000111000∀⊥⇻=≮⫘↔0","layer":3},{"info":"≮⫘↔-1000111010100⨎≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN∲⫓≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1010101001110⫸⇳≮⫘↔11001101000=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊪=≮⫘↔0","layer":2},{"info":"≮⫘↔101100100101⨚≮⫘↔100111110011=≮⫘↔-110111011100","layer":3},{"info":"≮⫘↔10011100001⋕⪉⪜≮⫘↔111100000110=≮⫘↔11001100","layer":3},{"info":"≮⫘↔-110111011100↓≮⫘↔11001100=≮⫘↔1101011110100","layer":2},{"info":"≮⫘↔0⊬⨰≮⫘↔1101011110100=≮⫘↔110101111010000","layer":1},{"info":"NaN⫚↹⊑≮⫘↔110101111010000=≮⫘↔-110111111","layer":0}]}
{"id":532,"expression_no_base_symbol":"(($3192$⪎↠$1182$⫔⩽⩺$7567$≧⫂∧$8088$)⩺⪪(($7425$≬⋮$1015$)⪄($1517$⫌⩉⩟$2625$)))∘($3268$⇤$1915$≃($2018$⊦⊿)⫔⩽⩺$4332$⊔$6838$⊨$1415$⇡⇂$4668$)","expression":"((≮⫘↔110001111000⪎↠≮⫘↔10010011110⫔⩽⩺≮⫘↔1110110001111≧⫂∧≮⫘↔1111110011000)⩺⪪((≮⫘↔1110100000001≬⋮≮⫘↔1111110111)⪄(≮⫘↔10111101101⫌⩉⩟≮⫘↔101001000001)))∘(≮⫘↔110011000100⇤≮⫘↔11101111011≃(≮⫘↔11111100010⊦⊿)⫔⩽⩺≮⫘↔1000011101100⊔≮⫘↔1101010110110⊨≮⫘↔10110000111⇡⇂≮⫘↔1001000111100)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":48247,"operation_count":15,"complexity_ratio":3216.4666666666667,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3192,"base":2},"right_expr":{"type":"numeric_atoms","value":1182,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7567,"base":2},"right_expr":{"type":"numeric_atoms","value":8088,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":7425,"base":2},"right_expr":{"type":"numeric_atoms","value":1015,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1517,"base":2},"right_expr":{"type":"numeric_atoms","value":2625,"base":2}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3268,"base":2},"right_expr":{"type":"numeric_atoms","value":1915,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2018,"base":2}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4332,"base":2},"right_expr":{"type":"numeric_atoms","value":6838,"base":2}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1415,"base":2},"right_expr":{"type":"numeric_atoms","value":4668,"base":2}}}}},"used_operators":["Z5m6OM72h2","uvdQJvN4PV","i9eR4S00cU","3tVxb0NHM4","Ph9nP6C5qx","SUmda5xLS4","kbkesczE7y","XIIwhv8d0m","YbVcJGFEVW","YSKBFp38Pu","14qkJME0vr","vg4gO5BX6G","E4l6HwMY31","UMwdvZNt44"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3192","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=1182, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=7567","layer":4},{"info":"number node, value=8088","layer":4},{"info":"compute binary expreesion, left_input=7567, right_input=8088, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7615","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=7615, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=7425","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=7425, right_input=1015, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1517","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=2625, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-50, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-124353","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-124353, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=3268","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=1915, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-23067","layer":3},{"info":"number node, value=2018","layer":4},{"info":"compute unary expreesion, input=2018, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6133","layer":3},{"info":"compute binary expreesion, left_input=-23067, right_input=-6133, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=24492","layer":2},{"info":"number node, value=4332","layer":4},{"info":"number node, value=6838","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=6838, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=40454","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=4668","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=4668, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=40454, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=162847","layer":2},{"info":"compute binary expreesion, left_input=24492, right_input=162847, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110001111000⪎↠≮⫘↔10010011110⫔⩽⩺≮⫘↔1110110001111≧⫂∧≮⫘↔1111110011000)⩺⪪((≮⫘↔1110100000001≬⋮≮⫘↔1111110111)⪄(≮⫘↔10111101101⫌⩉⩟≮⫘↔101001000001)))∘(≮⫘↔110011000100⇤≮⫘↔11101111011≃(≮⫘↔11111100010⊦⊿)⫔⩽⩺≮⫘↔1000011101100⊔≮⫘↔1101010110110⊨≮⫘↔10110000111⇡⇂≮⫘↔1001000111100)=NaN","reverse_text":"NaN=((≮⫘↔110001111000⪎↠≮⫘↔10010011110⫔⩽⩺≮⫘↔1110110001111≧⫂∧≮⫘↔1111110011000)⩺⪪((≮⫘↔1110100000001≬⋮≮⫘↔1111110111)⪄(≮⫘↔10111101101⫌⩉⩟≮⫘↔101001000001)))∘(≮⫘↔110011000100⇤≮⫘↔11101111011≃(≮⫘↔11111100010⊦⊿)⫔⩽⩺≮⫘↔1000011101100⊔≮⫘↔1101010110110⊨≮⫘↔10110000111⇡⇂≮⫘↔1001000111100)","cot":[{"info":"≮⫘↔110001111000⪎↠≮⫘↔10010011110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1110110001111≧⫂∧≮⫘↔1111110011000=≮⫘↔1110110111111","layer":3},{"info":"≮⫘↔10100000⫔⩽⩺≮⫘↔1110110111111=NaN","layer":2},{"info":"≮⫘↔1110100000001≬⋮≮⫘↔1111110111=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔10111101101⫌⩉⩟≮⫘↔101001000001=≮⫘↔-110010","layer":3},{"info":"≮⫘↔1101100100⪄≮⫘↔-110010=≮⫘↔-11110010111000001","layer":2},{"info":"NaN⩺⪪≮⫘↔-11110010111000001=NaN","layer":1},{"info":"≮⫘↔110011000100⇤≮⫘↔11101111011=≮⫘↔-101101000011011","layer":3},{"info":"≮⫘↔11111100010⊦⊿=≮⫘↔-1011111110101","layer":3},{"info":"≮⫘↔-101101000011011≃≮⫘↔-1011111110101=≮⫘↔101111110101100","layer":2},{"info":"≮⫘↔1000011101100⊔≮⫘↔1101010110110=≮⫘↔1001111000000110","layer":3},{"info":"≮⫘↔10110000111⇡⇂≮⫘↔1001000111100=NaN","layer":3},{"info":"≮⫘↔1001111000000110⊨NaN=≮⫘↔100111110000011111","layer":2},{"info":"≮⫘↔101111110101100⫔⩽⩺≮⫘↔100111110000011111=NaN","layer":1},{"info":"NaN∘NaN=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"≔((⨞⊢$1531$)↼⊘⨖$4398$↞⋁$4858$)⇻⋧≁(↣≠⋷($1528$∌↝$2011$))","expression":"≔((⨞⊢≮⫘↔10111111011)↼⊘⨖≮⫘↔1000100101110↞⋁≮⫘↔1001011111010)⇻⋧≁(↣≠⋷(≮⫘↔10111111000∌↝≮⫘↔11111011011))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":267,"operation_count":7,"complexity_ratio":38.142857142857146,"tree":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1531,"base":2}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4398,"base":2},"right_expr":{"type":"numeric_atoms","value":4858,"base":2}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1528,"base":2},"right_expr":{"type":"numeric_atoms","value":2011,"base":2}}}}},"used_operators":["8FLs4eVsLt","jCPkEVoL5K","bPywburJMS","xUOZtlo3hN","RqrPlJkxDo","Asc51vEJeQ","9Isq31Ruls"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","XhwjNDsVaA","AHs5Up7iyr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1531","layer":4},{"info":"compute unary expreesion, input=1531, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1705","layer":3},{"info":"number node, value=4398","layer":4},{"info":"number node, value=4858","layer":4},{"info":"compute binary expreesion, left_input=4398, right_input=4858, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1705, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"number node, value=1528","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=2011, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≔((⨞⊢≮⫘↔10111111011)↼⊘⨖≮⫘↔1000100101110↞⋁≮⫘↔1001011111010)⇻⋧≁(↣≠⋷(≮⫘↔10111111000∌↝≮⫘↔11111011011))=NaN","reverse_text":"NaN=≔((⨞⊢≮⫘↔10111111011)↼⊘⨖≮⫘↔1000100101110↞⋁≮⫘↔1001011111010)⇻⋧≁(↣≠⋷(≮⫘↔10111111000∌↝≮⫘↔11111011011))","cot":[{"info":"⨞⊢≮⫘↔10111111011=≮⫘↔-11010101001","layer":3},{"info":"≮⫘↔1000100101110↞⋁≮⫘↔1001011111010=NaN","layer":3},{"info":"≮⫘↔-11010101001↼⊘⨖NaN=NaN","layer":2},{"info":"≮⫘↔10111111000∌↝≮⫘↔11111011011=≮⫘↔0","layer":3},{"info":"↣≠⋷≮⫘↔0=NaN","layer":2},{"info":"NaN⇻⋧≁NaN=NaN","layer":1},{"info":"≔NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"⪛⨧(($3417$≎⊠⪸$4014$)⫁⪎($4095$⪇≇⋚$1272$)≀⫉($4148$⊭↱$1067$⨵⪆(⪹$8131$)))","expression":"⪛⨧((≮⫘↔110101011001≎⊠⪸≮⫘↔111110101110)⫁⪎(≮⫘↔111111111111⪇≇⋚≮⫘↔10011111000)≀⫉(≮⫘↔1000000110100⊭↱≮⫘↔10000101011⨵⪆(⪹≮⫘↔1111111000011)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":439,"operation_count":8,"complexity_ratio":54.875,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3417,"base":2},"right_expr":{"type":"numeric_atoms","value":4014,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4095,"base":2},"right_expr":{"type":"numeric_atoms","value":1272,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4148,"base":2},"right_expr":{"type":"numeric_atoms","value":1067,"base":2}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":8131,"base":2}}}}},"used_operators":["6NJAcO2OWT","oZj3VtZNQx","xRrnTEsQ6j","bJkvcejdHO","3sJ7IOPOlU","2DQ55sFlQl","COABgblf1C","USyYr0JgAa"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV"],"result":"≮⫘↔1101110000101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3417","layer":4},{"info":"number node, value=4014","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=4014, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=884530","layer":3},{"info":"number node, value=4095","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=1272, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=884530, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=884530","layer":2},{"info":"number node, value=4148","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=4148, right_input=1067, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6157","layer":3},{"info":"number node, value=8131","layer":4},{"info":"compute unary expreesion, input=8131, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-7951","layer":3},{"info":"compute binary expreesion, left_input=-6157, right_input=-7951, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=884530, right_input=160, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7045","layer":0}],"base":2,"result_base":2,"text":"⪛⨧((≮⫘↔110101011001≎⊠⪸≮⫘↔111110101110)⫁⪎(≮⫘↔111111111111⪇≇⋚≮⫘↔10011111000)≀⫉(≮⫘↔1000000110100⊭↱≮⫘↔10000101011⨵⪆(⪹≮⫘↔1111111000011)))=≮⫘↔1101110000101","reverse_text":"≮⫘↔1101110000101=⪛⨧((≮⫘↔110101011001≎⊠⪸≮⫘↔111110101110)⫁⪎(≮⫘↔111111111111⪇≇⋚≮⫘↔10011111000)≀⫉(≮⫘↔1000000110100⊭↱≮⫘↔10000101011⨵⪆(⪹≮⫘↔1111111000011)))","cot":[{"info":"≮⫘↔110101011001≎⊠⪸≮⫘↔111110101110=≮⫘↔11010111111100110010","layer":3},{"info":"≮⫘↔111111111111⪇≇⋚≮⫘↔10011111000=≮⫘↔0","layer":3},{"info":"≮⫘↔11010111111100110010⫁⪎≮⫘↔0=≮⫘↔11010111111100110010","layer":2},{"info":"≮⫘↔1000000110100⊭↱≮⫘↔10000101011=≮⫘↔-1100000001101","layer":3},{"info":"⪹≮⫘↔1111111000011=≮⫘↔-1111100001111","layer":3},{"info":"≮⫘↔-1100000001101⨵⪆≮⫘↔-1111100001111=≮⫘↔10100000","layer":2},{"info":"≮⫘↔11010111111100110010≀⫉≮⫘↔10100000=≮⫘↔101100000110","layer":1},{"info":"⪛⨧≮⫘↔101100000110=≮⫘↔1101110000101","layer":0}]}
{"id":535,"expression_no_base_symbol":"$1595$↤⩊$1175$≃($4687$⇮⋭$5459$)↱(⇜$4052$)⪨⊡$1370$≄⊠$5546$⩭","expression":"≮⫘↔11000111011↤⩊≮⫘↔10010010111≃(≮⫘↔1001001001111⇮⋭≮⫘↔1010101010011)↱(⇜≮⫘↔111111010100)⪨⊡≮⫘↔10101011010≄⊠≮⫘↔1010110101010⩭","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":47037,"operation_count":8,"complexity_ratio":5879.625,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1595,"base":2},"right_expr":{"type":"numeric_atoms","value":1175,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4687,"base":2},"right_expr":{"type":"numeric_atoms","value":5459,"base":2}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4052,"base":2}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1370,"base":2},"right_expr":{"type":"numeric_atoms","value":5546,"base":2}}}}},"used_operators":["yIPP7u6H5x","SR5kFfdi6N","YbVcJGFEVW","13rbtpv6ld","vkpjKywKVM","kuIXHzHcAH","lFBm8KRb8F","vXNesLlMH1"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1175, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=4687","layer":4},{"info":"number node, value=5459","layer":4},{"info":"compute binary expreesion, left_input=4687, right_input=5459, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=1852","layer":2},{"info":"number node, value=4052","layer":4},{"info":"compute unary expreesion, input=4052, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-32824","layer":3},{"info":"number node, value=1370","layer":4},{"info":"number node, value=5546","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=5546, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=93404","layer":3},{"info":"compute binary expreesion, left_input=-32824, right_input=93404, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1852, right_input=0, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15670","layer":1},{"info":"compute unary expreesion, input=15670, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔11000111011↤⩊≮⫘↔10010010111≃(≮⫘↔1001001001111⇮⋭≮⫘↔1010101010011)↱(⇜≮⫘↔111111010100)⪨⊡≮⫘↔10101011010≄⊠≮⫘↔1010110101010⩭=NaN","reverse_text":"NaN=≮⫘↔11000111011↤⩊≮⫘↔10010010111≃(≮⫘↔1001001001111⇮⋭≮⫘↔1010101010011)↱(⇜≮⫘↔111111010100)⪨⊡≮⫘↔10101011010≄⊠≮⫘↔1010110101010⩭","cot":[{"info":"≮⫘↔11000111011↤⩊≮⫘↔10010010111=NaN","layer":3},{"info":"≮⫘↔1001001001111⇮⋭≮⫘↔1010101010011=≮⫘↔-111011001","layer":3},{"info":"NaN≃≮⫘↔-111011001=≮⫘↔11100111100","layer":2},{"info":"⇜≮⫘↔111111010100=≮⫘↔-1000000000111000","layer":3},{"info":"≮⫘↔10101011010≄⊠≮⫘↔1010110101010=≮⫘↔10110110011011100","layer":3},{"info":"≮⫘↔-1000000000111000⪨⊡≮⫘↔10110110011011100=≮⫘↔0","layer":2},{"info":"≮⫘↔11100111100↱≮⫘↔0=≮⫘↔11110100110110","layer":1},{"info":"≮⫘↔11110100110110⩭=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"(($4668$≫≃)≎⪠$4634$⊕∕$5023$)⪝(+⊝⨔$2979$⪔⊥$1271$)⨌↪","expression":"((≮⫘↔1001000111100≫≃)≎⪠≮⫘↔1001000011010⊕∕≮⫘↔1001110011111)⪝(+⊝⨔≮⫘↔101110100011⪔⊥≮⫘↔10011110111)⨌↪","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19605,"operation_count":7,"complexity_ratio":2800.714285714286,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4668,"base":2}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4634,"base":2},"right_expr":{"type":"numeric_atoms","value":5023,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2979,"base":2},"right_expr":{"type":"numeric_atoms","value":1271,"base":2}}}}},"used_operators":["cWQsF5MvuD","wicAB68Tmb","aNhz54LH3e","X99M06cbEe","9cloC0Ngie","DhbWaqg5eL","HJ9erzHUuu"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≮⫘↔-111100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4668","layer":4},{"info":"compute unary expreesion, input=4668, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10737","layer":3},{"info":"number node, value=4634","layer":4},{"info":"number node, value=5023","layer":4},{"info":"compute binary expreesion, left_input=4634, right_input=5023, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4634","layer":3},{"info":"compute binary expreesion, left_input=10737, right_input=4634, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=2979","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=1271, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9175","layer":3},{"info":"compute unary expreesion, input=9175, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=1522, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-72543","layer":1},{"info":"compute unary expreesion, input=-72543, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001000111100≫≃)≎⪠≮⫘↔1001000011010⊕∕≮⫘↔1001110011111)⪝(+⊝⨔≮⫘↔101110100011⪔⊥≮⫘↔10011110111)⨌↪=≮⫘↔-111100000","reverse_text":"≮⫘↔-111100000=((≮⫘↔1001000111100≫≃)≎⪠≮⫘↔1001000011010⊕∕≮⫘↔1001110011111)⪝(+⊝⨔≮⫘↔101110100011⪔⊥≮⫘↔10011110111)⨌↪","cot":[{"info":"≮⫘↔1001000111100≫≃=≮⫘↔10100111110001","layer":3},{"info":"≮⫘↔1001000011010⊕∕≮⫘↔1001110011111=≮⫘↔1001000011010","layer":3},{"info":"≮⫘↔10100111110001≎⪠≮⫘↔1001000011010=≮⫘↔100110001100110","layer":2},{"info":"≮⫘↔101110100011⪔⊥≮⫘↔10011110111=≮⫘↔10001111010111","layer":3},{"info":"+⊝⨔≮⫘↔10001111010111=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔100110001100110⪝≮⫘↔10111110010=≮⫘↔-10001101101011111","layer":1},{"info":"≮⫘↔-10001101101011111⨌↪=≮⫘↔-111100000","layer":0}]}
{"id":537,"expression_no_base_symbol":"≘($2711$≀⫉$8465$⫳≱↱$5063$∼$4319$)⪬(⊤⊝(∥⊫$1120$))","expression":"≘(≮⫘↔101010010111≀⫉≮⫘↔10000100010001⫳≱↱≮⫘↔1001111000111∼≮⫘↔1000011011111)⪬(⊤⊝(∥⊫≮⫘↔10001100000))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1093,"operation_count":7,"complexity_ratio":156.14285714285714,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2711,"base":2},"right_expr":{"type":"numeric_atoms","value":8465,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5063,"base":2},"right_expr":{"type":"numeric_atoms","value":4319,"base":2}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1120,"base":2}}}}},"used_operators":["tcjXMdvYtA","Ez1Nq5fNfI","ZvLB05nZmT","oZj3VtZNQx","DyGG3AbaNP","rXAclfmB4M","P8v4zCKN1o"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1010011000011111011010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2711","layer":4},{"info":"number node, value=8465","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=8465, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5063","layer":4},{"info":"number node, value=4319","layer":4},{"info":"compute binary expreesion, left_input=5063, right_input=4319, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1120","layer":4},{"info":"compute unary expreesion, input=1120, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1988","layer":3},{"info":"compute unary expreesion, input=1988, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2678","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=2678, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2721754","layer":0}],"base":2,"result_base":2,"text":"≘(≮⫘↔101010010111≀⫉≮⫘↔10000100010001⫳≱↱≮⫘↔1001111000111∼≮⫘↔1000011011111)⪬(⊤⊝(∥⊫≮⫘↔10001100000))=≮⫘↔1010011000011111011010","reverse_text":"≮⫘↔1010011000011111011010=≘(≮⫘↔101010010111≀⫉≮⫘↔10000100010001⫳≱↱≮⫘↔1001111000111∼≮⫘↔1000011011111)⪬(⊤⊝(∥⊫≮⫘↔10001100000))","cot":[{"info":"≮⫘↔101010010111≀⫉≮⫘↔10000100010001=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔1001111000111∼≮⫘↔1000011011111=NaN","layer":3},{"info":"≮⫘↔101100000110⫳≱↱NaN=≮⫘↔-11001100","layer":2},{"info":"∥⊫≮⫘↔10001100000=≮⫘↔11111000100","layer":3},{"info":"⊤⊝≮⫘↔11111000100=≮⫘↔101001110110","layer":2},{"info":"≮⫘↔-11001100⪬≮⫘↔101001110110=≮⫘↔10011010010","layer":1},{"info":"≘≮⫘↔10011010010=≮⫘↔1010011000011111011010","layer":0}]}
{"id":538,"expression_no_base_symbol":"⇾⩊⇾(⇜(⫓⪴$1800$⋕⪉⪜$5973$))","expression":"⇾⩊⇾(⇜(⫓⪴≮⫘↔11100001000⋕⪉⪜≮⫘↔1011101010101))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":563,"operation_count":4,"complexity_ratio":140.75,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1800,"base":2},"right_expr":{"type":"numeric_atoms","value":5973,"base":2}}}}},"used_operators":["bx9Z9DAK5y","lFBm8KRb8F","eLxqMNBOBk","z6LnFrNh4i"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","9HNa5Wba9A","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"≮⫘↔1011011010110110000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1800","layer":4},{"info":"number node, value=5973","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=5973, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=41616","layer":2},{"info":"compute unary expreesion, input=41616, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-333336","layer":1},{"info":"compute unary expreesion, input=-333336, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=2993538","layer":0}],"base":2,"result_base":2,"text":"⇾⩊⇾(⇜(⫓⪴≮⫘↔11100001000⋕⪉⪜≮⫘↔1011101010101))=≮⫘↔1011011010110110000010","reverse_text":"≮⫘↔1011011010110110000010=⇾⩊⇾(⇜(⫓⪴≮⫘↔11100001000⋕⪉⪜≮⫘↔1011101010101))","cot":[{"info":"≮⫘↔11100001000⋕⪉⪜≮⫘↔1011101010101=≮⫘↔11001100","layer":3},{"info":"⫓⪴≮⫘↔11001100=≮⫘↔1010001010010000","layer":2},{"info":"⇜≮⫘↔1010001010010000=≮⫘↔-1010001011000011000","layer":1},{"info":"⇾⩊⇾≮⫘↔-1010001011000011000=≮⫘↔1011011010110110000010","layer":0}]}
{"id":539,"expression_no_base_symbol":"($1182$∳⫺$1725$⪎↠($4399$⨑≵⋬$2293$)⊾⪯⋞$1645$⋾⨃∁$4014$⫥∨⫟($4394$↛⩡⫤))⨚($1418$⨸$1699$⪔⊥($1259$⊱⇼⊻$1626$)+⇶⊼($2631$⫸⇳$1776$)⩒⫫($1968$⫻⋑⊟))","expression":"(≮⫘↔10010011110∳⫺≮⫘↔11010111101⪎↠(≮⫘↔1000100101111⨑≵⋬≮⫘↔100011110101)⊾⪯⋞≮⫘↔11001101101⋾⨃∁≮⫘↔111110101110⫥∨⫟(≮⫘↔1000100101010↛⩡⫤))⨚(≮⫘↔10110001010⨸≮⫘↔11010100011⪔⊥(≮⫘↔10011101011⊱⇼⊻≮⫘↔11001011010)+⇶⊼(≮⫘↔101001000111⫸⇳≮⫘↔11011110000)⩒⫫(≮⫘↔11110110000⫻⋑⊟))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19277,"operation_count":15,"complexity_ratio":1285.1333333333334,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1182,"base":2},"right_expr":{"type":"numeric_atoms","value":1725,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4399,"base":2},"right_expr":{"type":"numeric_atoms","value":2293,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1645,"base":2},"right_expr":{"type":"numeric_atoms","value":4014,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4394,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1418,"base":2},"right_expr":{"type":"numeric_atoms","value":1699,"base":2}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1259,"base":2},"right_expr":{"type":"numeric_atoms","value":1626,"base":2}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2631,"base":2},"right_expr":{"type":"numeric_atoms","value":1776,"base":2}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1968,"base":2}}}}},"used_operators":["nREPSIbpBE","HK0tfVPux8","3tVxb0NHM4","AzXXKTstlj","XnXgA4xnOs","KYD54nUTWz","212REbPD9h","FU0Cs4j7VP","TpPTUOHfaN","HJ9erzHUuu","KmoU8R5UQR","FyVja0WsTP","KFSx94NKJn","gx7XJ7hdpj","o575Zjdmzy"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1182","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=1725, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=4399","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=4399, right_input=2293, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=7323","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=7323, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=608","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=4014","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=4014, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=161073698","layer":3},{"info":"number node, value=4394","layer":4},{"info":"compute unary expreesion, input=4394, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-659583","layer":3},{"info":"compute binary expreesion, left_input=161073698, right_input=-659583, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=608, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"number node, value=1418","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=1699, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2836","layer":3},{"info":"number node, value=1259","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1626, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=2836, right_input=434, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=10277","layer":2},{"info":"number node, value=2631","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=2631, right_input=1776, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1968","layer":4},{"info":"compute unary expreesion, input=1968, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-3426","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3426, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-818","layer":2},{"info":"compute binary expreesion, left_input=10277, right_input=-818, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010011110∳⫺≮⫘↔11010111101⪎↠(≮⫘↔1000100101111⨑≵⋬≮⫘↔100011110101)⊾⪯⋞≮⫘↔11001101101⋾⨃∁≮⫘↔111110101110⫥∨⫟(≮⫘↔1000100101010↛⩡⫤))⨚(≮⫘↔10110001010⨸≮⫘↔11010100011⪔⊥(≮⫘↔10011101011⊱⇼⊻≮⫘↔11001011010)+⇶⊼(≮⫘↔101001000111⫸⇳≮⫘↔11011110000)⩒⫫(≮⫘↔11110110000⫻⋑⊟))=NaN","reverse_text":"NaN=(≮⫘↔10010011110∳⫺≮⫘↔11010111101⪎↠(≮⫘↔1000100101111⨑≵⋬≮⫘↔100011110101)⊾⪯⋞≮⫘↔11001101101⋾⨃∁≮⫘↔111110101110⫥∨⫟(≮⫘↔1000100101010↛⩡⫤))⨚(≮⫘↔10110001010⨸≮⫘↔11010100011⪔⊥(≮⫘↔10011101011⊱⇼⊻≮⫘↔11001011010)+⇶⊼(≮⫘↔101001000111⫸⇳≮⫘↔11011110000)⩒⫫(≮⫘↔11110110000⫻⋑⊟))","cot":[{"info":"≮⫘↔10010011110∳⫺≮⫘↔11010111101=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔1000100101111⨑≵⋬≮⫘↔100011110101=≮⫘↔1110010011011","layer":3},{"info":"≮⫘↔-100000100⪎↠≮⫘↔1110010011011=≮⫘↔1001100000","layer":2},{"info":"≮⫘↔11001101101⋾⨃∁≮⫘↔111110101110=≮⫘↔1001100110011100101000100010","layer":3},{"info":"≮⫘↔1000100101010↛⩡⫤=≮⫘↔-10100001000001111111","layer":3},{"info":"≮⫘↔1001100110011100101000100010⫥∨⫟≮⫘↔-10100001000001111111=NaN","layer":2},{"info":"≮⫘↔1001100000⊾⪯⋞NaN=NaN","layer":1},{"info":"≮⫘↔10110001010⨸≮⫘↔11010100011=≮⫘↔101100010100","layer":3},{"info":"≮⫘↔10011101011⊱⇼⊻≮⫘↔11001011010=≮⫘↔110110010","layer":3},{"info":"≮⫘↔101100010100⪔⊥≮⫘↔110110010=≮⫘↔10100000100101","layer":2},{"info":"≮⫘↔101001000111⫸⇳≮⫘↔11011110000=≮⫘↔0","layer":3},{"info":"≮⫘↔11110110000⫻⋑⊟=≮⫘↔-110101100010","layer":3},{"info":"≮⫘↔0⩒⫫≮⫘↔-110101100010=≮⫘↔-1100110010","layer":2},{"info":"≮⫘↔10100000100101+⇶⊼≮⫘↔-1100110010=NaN","layer":1},{"info":"NaN⨚NaN=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"⨵(($5830$≭$1001$⨔≚≋$1009$∓⋝$1330$)⊬⨰((⪝⪂⫅$9183$)⫒⫫($2837$⇮⋭$3653$)))","expression":"⨵((≮⫘↔1011011000110≭≮⫘↔1111101001⨔≚≋≮⫘↔1111110001∓⋝≮⫘↔10100110010)⊬⨰((⪝⪂⫅≮⫘↔10001111011111)⫒⫫(≮⫘↔101100010101⇮⋭≮⫘↔111001000101)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":351,"operation_count":8,"complexity_ratio":43.875,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5830,"base":2},"right_expr":{"type":"numeric_atoms","value":1001,"base":2}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1009,"base":2},"right_expr":{"type":"numeric_atoms","value":1330,"base":2}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":9183,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2837,"base":2},"right_expr":{"type":"numeric_atoms","value":3653,"base":2}}}}},"used_operators":["Tl3Y52tvF8","s3Fd5m9Dh2","Z57zeUYC9z","rxpJgHHUmx","PoHhknlbAi","6Ko8hGgeMq","XTarYq4gQB","vkpjKywKVM"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","AHs5Up7iyr","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9HNa5Wba9A","8w2t5hMYqp","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5830","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5830, right_input=1001, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1330, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=9183","layer":4},{"info":"compute unary expreesion, input=9183, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1349901","layer":3},{"info":"number node, value=2837","layer":4},{"info":"number node, value=3653","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=3653, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-1349901, right_input=-473, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=6750487","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6750487, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨵((≮⫘↔1011011000110≭≮⫘↔1111101001⨔≚≋≮⫘↔1111110001∓⋝≮⫘↔10100110010)⊬⨰((⪝⪂⫅≮⫘↔10001111011111)⫒⫫(≮⫘↔101100010101⇮⋭≮⫘↔111001000101)))=NaN","reverse_text":"NaN=⨵((≮⫘↔1011011000110≭≮⫘↔1111101001⨔≚≋≮⫘↔1111110001∓⋝≮⫘↔10100110010)⊬⨰((⪝⪂⫅≮⫘↔10001111011111)⫒⫫(≮⫘↔101100010101⇮⋭≮⫘↔111001000101)))","cot":[{"info":"≮⫘↔1011011000110≭≮⫘↔1111101001=NaN","layer":3},{"info":"≮⫘↔1111110001∓⋝≮⫘↔10100110010=≮⫘↔1000011","layer":3},{"info":"NaN⨔≚≋≮⫘↔1000011=NaN","layer":2},{"info":"⪝⪂⫅≮⫘↔10001111011111=≮⫘↔-101001001100100001101","layer":3},{"info":"≮⫘↔101100010101⇮⋭≮⫘↔111001000101=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔-101001001100100001101⫒⫫≮⫘↔-111011001=≮⫘↔11001110000000100010111","layer":2},{"info":"NaN⊬⨰≮⫘↔11001110000000100010111=NaN","layer":1},{"info":"⨵NaN=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"⋣(($4471$≁↽≥$2542$⊴⇁⪶)∙⊟($4387$⪭≯$1363$)⪭($8482$⩠))","expression":"⋣((≮⫘↔1000101110111≁↽≥≮⫘↔100111101110⊴⇁⪶)∙⊟(≮⫘↔1000100100011⪭≯≮⫘↔10101010011)⪭(≮⫘↔10000100100010⩠))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":63512,"operation_count":7,"complexity_ratio":9073.142857142857,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4471,"base":2},"right_expr":{"type":"numeric_atoms","value":2542,"base":2}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4387,"base":2},"right_expr":{"type":"numeric_atoms","value":1363,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":8482,"base":2}}}}},"used_operators":["zQWRhDnn8F","SxTAKzQCrw","oo9mF6JIpo","ncHt1X6cMc","j9kHMeSvPp","XAx5wpdLa6","sJAwomhLZr"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","oWn0xqSxBt","3Oe9XWJUTD","COABgblf1C","xUOZtlo3hN","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4471","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=4471, right_input=2542, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=62883","layer":3},{"info":"compute unary expreesion, input=62883, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=1375748","layer":2},{"info":"number node, value=4387","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=4387, right_input=1363, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=8482","layer":4},{"info":"compute unary expreesion, input=8482, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=1375748, right_input=5, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=17894570","layer":1},{"info":"compute unary expreesion, input=17894570, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⋣((≮⫘↔1000101110111≁↽≥≮⫘↔100111101110⊴⇁⪶)∙⊟(≮⫘↔1000100100011⪭≯≮⫘↔10101010011)⪭(≮⫘↔10000100100010⩠))=NaN","reverse_text":"NaN=⋣((≮⫘↔1000101110111≁↽≥≮⫘↔100111101110⊴⇁⪶)∙⊟(≮⫘↔1000100100011⪭≯≮⫘↔10101010011)⪭(≮⫘↔10000100100010⩠))","cot":[{"info":"≮⫘↔1000101110111≁↽≥≮⫘↔100111101110=≮⫘↔1111010110100011","layer":3},{"info":"≮⫘↔1111010110100011⊴⇁⪶=≮⫘↔101001111111000000100","layer":2},{"info":"≮⫘↔1000100100011⪭≯≮⫘↔10101010011=NaN","layer":3},{"info":"≮⫘↔10000100100010⩠=≮⫘↔0","layer":3},{"info":"NaN⪭≮⫘↔0=≮⫘↔101","layer":2},{"info":"≮⫘↔101001111111000000100∙⊟≮⫘↔101=≮⫘↔1000100010000110010101010","layer":1},{"info":"⋣≮⫘↔1000100010000110010101010=NaN","layer":0}]}
{"id":542,"expression_no_base_symbol":"((($1409$⊍⩺⋍$5720$)⨼⩣($4192$⨫⇇↔$1812$))⩅⪻⪻)≳⇉(↘$3102$)⋕⪉⪜($1065$⊋$1574$)≨($1242$⋹⋡⊁$2864$⊭∹↮)","expression":"(((≮⫘↔10110000001⊍⩺⋍≮⫘↔1011001011000)⨼⩣(≮⫘↔1000001100000⨫⇇↔≮⫘↔11100010100))⩅⪻⪻)≳⇉(↘≮⫘↔110000011110)⋕⪉⪜(≮⫘↔10000101001⊋≮⫘↔11000100110)≨(≮⫘↔10011011010⋹⋡⊁≮⫘↔101100110000⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":116971,"operation_count":11,"complexity_ratio":10633.727272727272,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1409,"base":2},"right_expr":{"type":"numeric_atoms","value":5720,"base":2}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4192,"base":2},"right_expr":{"type":"numeric_atoms","value":1812,"base":2}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3102,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1065,"base":2},"right_expr":{"type":"numeric_atoms","value":1574,"base":2}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1242,"base":2},"right_expr":{"type":"numeric_atoms","value":2864,"base":2}}}}},"used_operators":["V0kx6qeWkN","kHoXpA7yos","JxwMv5le6e","OXDGMFPWZM","LXhwmt4mBO","0KMCeP1Jsh","z6LnFrNh4i","LdNpr8hQHL","W4tP9CfskL","xNBdhnnwKq","As8RqfVLgs"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","uFcxV4UQCh","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"number node, value=5720","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=5720, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=4192","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=4192, right_input=1812, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":1},{"info":"number node, value=3102","layer":4},{"info":"compute unary expreesion, input=3102, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=358","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1574, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5615560","layer":3},{"info":"compute binary expreesion, left_input=358, right_input=-5615560, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=1242","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=2864, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3614","layer":3},{"info":"compute unary expreesion, input=3614, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7228","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=7228, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-25544","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=-25544, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10110000001⊍⩺⋍≮⫘↔1011001011000)⨼⩣(≮⫘↔1000001100000⨫⇇↔≮⫘↔11100010100))⩅⪻⪻)≳⇉(↘≮⫘↔110000011110)⋕⪉⪜(≮⫘↔10000101001⊋≮⫘↔11000100110)≨(≮⫘↔10011011010⋹⋡⊁≮⫘↔101100110000⊭∹↮)=NaN","reverse_text":"NaN=(((≮⫘↔10110000001⊍⩺⋍≮⫘↔1011001011000)⨼⩣(≮⫘↔1000001100000⨫⇇↔≮⫘↔11100010100))⩅⪻⪻)≳⇉(↘≮⫘↔110000011110)⋕⪉⪜(≮⫘↔10000101001⊋≮⫘↔11000100110)≨(≮⫘↔10011011010⋹⋡⊁≮⫘↔101100110000⊭∹↮)","cot":[{"info":"≮⫘↔10110000001⊍⩺⋍≮⫘↔1011001011000=NaN","layer":3},{"info":"≮⫘↔1000001100000⨫⇇↔≮⫘↔11100010100=≮⫘↔-1000001111","layer":3},{"info":"NaN⨼⩣≮⫘↔-1000001111=NaN","layer":2},{"info":"NaN⩅⪻⪻=≮⫘↔111110001011","layer":1},{"info":"↘≮⫘↔110000011110=≮⫘↔101100110","layer":3},{"info":"≮⫘↔10000101001⊋≮⫘↔11000100110=≮⫘↔-10101011010111111001000","layer":3},{"info":"≮⫘↔101100110⋕⪉⪜≮⫘↔-10101011010111111001000=≮⫘↔101011110010","layer":2},{"info":"≮⫘↔10011011010⋹⋡⊁≮⫘↔101100110000=≮⫘↔111000011110","layer":3},{"info":"≮⫘↔111000011110⊭∹↮=≮⫘↔1110000111100","layer":2},{"info":"≮⫘↔101011110010≨≮⫘↔1110000111100=≮⫘↔-110001111001000","layer":1},{"info":"≮⫘↔111110001011≳⇉≮⫘↔-110001111001000=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"(↓⇌(($4232$∷$5184$)≒∊$3398$⊉↱≁$2379$))⨎($3353$⫌⩉⩟$1349$)⋓(∓$2597$)⪡($2450$⪒$6133$)∳⫺($1861$⋅⇍$1114$)","expression":"(↓⇌((≮⫘↔1000010001000∷≮⫘↔1010001000000)≒∊≮⫘↔110101000110⊉↱≁≮⫘↔100101001011))⨎(≮⫘↔110100011001⫌⩉⩟≮⫘↔10101000101)⋓(∓≮⫘↔101000100101)⪡(≮⫘↔100110010010⪒≮⫘↔1011111110101)∳⫺(≮⫘↔11101000101⋅⇍≮⫘↔10001011010)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6775,"operation_count":12,"complexity_ratio":564.5833333333334,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4232,"base":2},"right_expr":{"type":"numeric_atoms","value":5184,"base":2}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3398,"base":2},"right_expr":{"type":"numeric_atoms","value":2379,"base":2}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3353,"base":2},"right_expr":{"type":"numeric_atoms","value":1349,"base":2}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2597,"base":2}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2450,"base":2},"right_expr":{"type":"numeric_atoms","value":6133,"base":2}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1861,"base":2},"right_expr":{"type":"numeric_atoms","value":1114,"base":2}}}}},"used_operators":["rJVOvQCfKK","PxpmPgHHJV","5KTvxBwnZo","D3AQDKkPcf","w2P8NbNXyL","oraRL2iQuh","T2fj7uvVaJ","XIIwhv8d0m","OwUj7dcsQK","AzXXKTstlj","f6k1SAg4EE","AdZkA7nFnk"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≮⫘↔-11110010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4232","layer":4},{"info":"number node, value=5184","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=5184, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5184","layer":3},{"info":"number node, value=3398","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=2379, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=19654","layer":3},{"info":"compute binary expreesion, left_input=5184, right_input=19654, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4700","layer":2},{"info":"compute unary expreesion, input=-4700, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-9400","layer":1},{"info":"number node, value=3353","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=3353, right_input=1349, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2597","layer":4},{"info":"compute unary expreesion, input=2597, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-43827","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-43827, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2450","layer":4},{"info":"number node, value=6133","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=6133, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8583","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1114, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-8583, right_input=-22, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-34226","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-34226, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":1},{"info":"compute binary expreesion, left_input=-9400, right_input=-1936, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1936","layer":0}],"base":2,"result_base":2,"text":"(↓⇌((≮⫘↔1000010001000∷≮⫘↔1010001000000)≒∊≮⫘↔110101000110⊉↱≁≮⫘↔100101001011))⨎(≮⫘↔110100011001⫌⩉⩟≮⫘↔10101000101)⋓(∓≮⫘↔101000100101)⪡(≮⫘↔100110010010⪒≮⫘↔1011111110101)∳⫺(≮⫘↔11101000101⋅⇍≮⫘↔10001011010)=≮⫘↔-11110010000","reverse_text":"≮⫘↔-11110010000=(↓⇌((≮⫘↔1000010001000∷≮⫘↔1010001000000)≒∊≮⫘↔110101000110⊉↱≁≮⫘↔100101001011))⨎(≮⫘↔110100011001⫌⩉⩟≮⫘↔10101000101)⋓(∓≮⫘↔101000100101)⪡(≮⫘↔100110010010⪒≮⫘↔1011111110101)∳⫺(≮⫘↔11101000101⋅⇍≮⫘↔10001011010)","cot":[{"info":"≮⫘↔1000010001000∷≮⫘↔1010001000000=≮⫘↔1010001000000","layer":3},{"info":"≮⫘↔110101000110⊉↱≁≮⫘↔100101001011=≮⫘↔100110011000110","layer":3},{"info":"≮⫘↔1010001000000≒∊≮⫘↔100110011000110=≮⫘↔-1001001011100","layer":2},{"info":"↓⇌≮⫘↔-1001001011100=≮⫘↔-10010010111000","layer":1},{"info":"≮⫘↔110100011001⫌⩉⩟≮⫘↔10101000101=≮⫘↔-110010","layer":3},{"info":"∓≮⫘↔101000100101=≮⫘↔-1010101100110011","layer":3},{"info":"≮⫘↔-110010⋓≮⫘↔-1010101100110011=≮⫘↔0","layer":2},{"info":"≮⫘↔100110010010⪒≮⫘↔1011111110101=≮⫘↔-10000110000111","layer":3},{"info":"≮⫘↔11101000101⋅⇍≮⫘↔10001011010=≮⫘↔-10110","layer":3},{"info":"≮⫘↔-10000110000111∳⫺≮⫘↔-10110=≮⫘↔-1000010110110010","layer":2},{"info":"≮⫘↔0⪡≮⫘↔-1000010110110010=≮⫘↔-11110010000","layer":1},{"info":"≮⫘↔-10010010111000⨎≮⫘↔-11110010000=≮⫘↔-11110010000","layer":0}]}
{"id":544,"expression_no_base_symbol":"(($3810$∈)⩼⇪↪($5371$⇄$2342$)⊅)⨻⩈⩔((⋼∭⪍(⪓⩚$1410$))≭((⪛⨧$5305$)≎⊠⪸($1468$⊹∫⫚$3536$)))","expression":"((≮⫘↔111011100010∈)⩼⇪↪(≮⫘↔1010011111011⇄≮⫘↔100100100110)⊅)⨻⩈⩔((⋼∭⪍(⪓⩚≮⫘↔10110000010))≭((⪛⨧≮⫘↔1010010111001)≎⊠⪸(≮⫘↔10110111100⊹∫⫚≮⫘↔110111010000)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3925,"operation_count":11,"complexity_ratio":356.8181818181818,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":3810,"base":2}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5371,"base":2},"right_expr":{"type":"numeric_atoms","value":2342,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1410,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":5305,"base":2}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1468,"base":2},"right_expr":{"type":"numeric_atoms","value":3536,"base":2}}}}},"used_operators":["nEsXyWgiOK","7p6YLioM7f","ocnLzx9CaJ","ztP7wcbY7m","3EYGwJThht","rxpJgHHUmx","DbCuESL50I","u0R0Locfp2","bJkvcejdHO","6NJAcO2OWT","uWAJUKEvyW"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","AHs5Up7iyr","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3810","layer":4},{"info":"compute unary expreesion, input=3810, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=10759","layer":3},{"info":"number node, value=5371","layer":4},{"info":"number node, value=2342","layer":4},{"info":"compute binary expreesion, left_input=5371, right_input=2342, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10759, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=20735","layer":2},{"info":"compute unary expreesion, input=20735, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":1},{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute unary expreesion, input=426, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=36","layer":2},{"info":"number node, value=5305","layer":4},{"info":"compute unary expreesion, input=5305, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=12011","layer":3},{"info":"number node, value=1468","layer":4},{"info":"number node, value=3536","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=3536, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-112","layer":3},{"info":"compute binary expreesion, left_input=12011, right_input=-112, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3110376","layer":2},{"info":"compute binary expreesion, left_input=36, right_input=3110376, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111011100010∈)⩼⇪↪(≮⫘↔1010011111011⇄≮⫘↔100100100110)⊅)⨻⩈⩔((⋼∭⪍(⪓⩚≮⫘↔10110000010))≭((⪛⨧≮⫘↔1010010111001)≎⊠⪸(≮⫘↔10110111100⊹∫⫚≮⫘↔110111010000)))=NaN","reverse_text":"NaN=((≮⫘↔111011100010∈)⩼⇪↪(≮⫘↔1010011111011⇄≮⫘↔100100100110)⊅)⨻⩈⩔((⋼∭⪍(⪓⩚≮⫘↔10110000010))≭((⪛⨧≮⫘↔1010010111001)≎⊠⪸(≮⫘↔10110111100⊹∫⫚≮⫘↔110111010000)))","cot":[{"info":"≮⫘↔111011100010∈=≮⫘↔10101000000111","layer":3},{"info":"≮⫘↔1010011111011⇄≮⫘↔100100100110=≮⫘↔0","layer":3},{"info":"≮⫘↔10101000000111⩼⇪↪≮⫘↔0=≮⫘↔101000011111111","layer":2},{"info":"≮⫘↔101000011111111⊅=≮⫘↔-10101110","layer":1},{"info":"⪓⩚≮⫘↔10110000010=≮⫘↔110101010","layer":3},{"info":"⋼∭⪍≮⫘↔110101010=≮⫘↔100100","layer":2},{"info":"⪛⨧≮⫘↔1010010111001=≮⫘↔10111011101011","layer":3},{"info":"≮⫘↔10110111100⊹∫⫚≮⫘↔110111010000=≮⫘↔-1110000","layer":3},{"info":"≮⫘↔10111011101011≎⊠⪸≮⫘↔-1110000=≮⫘↔1011110111010111101000","layer":2},{"info":"≮⫘↔100100≭≮⫘↔1011110111010111101000=NaN","layer":1},{"info":"≮⫘↔-10101110⨻⩈⩔NaN=NaN","layer":0}]}
{"id":545,"expression_no_base_symbol":"(⨣⨃⇪($3542$⇣⩺⋵$1145$))⊮⊟↴(↯⪼(↨$1013$))⨥⫆((($2201$⨰$3283$)⩉⊫⨁)∙∹∝($4790$⪛⫼$1291$)⨻⩈⩔($1343$⋆⋳))","expression":"(⨣⨃⇪(≮⫘↔110111010110⇣⩺⋵≮⫘↔10001111001))⊮⊟↴(↯⪼(↨≮⫘↔1111110101))⨥⫆(((≮⫘↔100010011001⨰≮⫘↔110011010011)⩉⊫⨁)∙∹∝(≮⫘↔1001010110110⪛⫼≮⫘↔10100001011)⨻⩈⩔(≮⫘↔10100111111⋆⋳))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":571,"operation_count":12,"complexity_ratio":47.583333333333336,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3542,"base":2},"right_expr":{"type":"numeric_atoms","value":1145,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1013,"base":2}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2201,"base":2},"right_expr":{"type":"numeric_atoms","value":3283,"base":2}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4790,"base":2},"right_expr":{"type":"numeric_atoms","value":1291,"base":2}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1343,"base":2}}}}},"used_operators":["yXekIHxTD4","QDVgd2eftb","AcOhelriW5","F4yD0voBRQ","8jW3W4yZS5","jiX4gk2v2Q","HmxsFra2vL","7qqUquhhSb","eewbuw0ToL","nEsXyWgiOK","hyuBjUqXlG","6MpZysEj17"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","oZj3VtZNQx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3542","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=1145, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=-21, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=2201","layer":4},{"info":"number node, value=3283","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=3283, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1072","layer":3},{"info":"compute unary expreesion, input=-1072, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-1072","layer":2},{"info":"number node, value=4790","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=4790, right_input=1291, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2718","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-2718, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-1072, right_input=-174, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⨣⨃⇪(≮⫘↔110111010110⇣⩺⋵≮⫘↔10001111001))⊮⊟↴(↯⪼(↨≮⫘↔1111110101))⨥⫆(((≮⫘↔100010011001⨰≮⫘↔110011010011)⩉⊫⨁)∙∹∝(≮⫘↔1001010110110⪛⫼≮⫘↔10100001011)⨻⩈⩔(≮⫘↔10100111111⋆⋳))=≮⫘↔0","reverse_text":"≮⫘↔0=(⨣⨃⇪(≮⫘↔110111010110⇣⩺⋵≮⫘↔10001111001))⊮⊟↴(↯⪼(↨≮⫘↔1111110101))⨥⫆(((≮⫘↔100010011001⨰≮⫘↔110011010011)⩉⊫⨁)∙∹∝(≮⫘↔1001010110110⪛⫼≮⫘↔10100001011)⨻⩈⩔(≮⫘↔10100111111⋆⋳))","cot":[{"info":"≮⫘↔110111010110⇣⩺⋵≮⫘↔10001111001=≮⫘↔-100000100","layer":3},{"info":"⨣⨃⇪≮⫘↔-100000100=≮⫘↔10101111101","layer":2},{"info":"↨≮⫘↔1111110101=NaN","layer":3},{"info":"↯⪼NaN=≮⫘↔-10101","layer":2},{"info":"≮⫘↔10101111101⊮⊟↴≮⫘↔-10101=≮⫘↔0","layer":1},{"info":"≮⫘↔100010011001⨰≮⫘↔110011010011=≮⫘↔-10000110000","layer":3},{"info":"≮⫘↔-10000110000⩉⊫⨁=≮⫘↔-10000110000","layer":2},{"info":"≮⫘↔1001010110110⪛⫼≮⫘↔10100001011=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔10100111111⋆⋳=≮⫘↔-101010011110","layer":3},{"info":"≮⫘↔1111001000⨻⩈⩔≮⫘↔-101010011110=≮⫘↔-10101110","layer":2},{"info":"≮⫘↔-10000110000∙∹∝≮⫘↔-10101110=≮⫘↔0","layer":1},{"info":"≮⫘↔0⨥⫆≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":546,"expression_no_base_symbol":"⇈(((⫯$1277$)⪒⊣⊆$4577$⨜⨶$4486$)≝⊿($2977$∀⇚≩$3095$↸(⊤⊝$2083$)))","expression":"⇈(((⫯≮⫘↔10011111101)⪒⊣⊆≮⫘↔1000111100001⨜⨶≮⫘↔1000110000110)≝⊿(≮⫘↔101110100001∀⇚≩≮⫘↔110000010111↸(⊤⊝≮⫘↔100000100011)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21954,"operation_count":8,"complexity_ratio":2744.25,"tree":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1277,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4577,"base":2},"right_expr":{"type":"numeric_atoms","value":4486,"base":2}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2977,"base":2},"right_expr":{"type":"numeric_atoms","value":3095,"base":2}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2083,"base":2}}}}},"used_operators":["SLLxy00UIr","OKKcZfAt5B","eRqsBgTDFp","H6BK1Evt7c","HiPekx5b7W","1eCjFl0mb9","LRNGc0VcxI","rXAclfmB4M"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","12rbrZMWeM","sdazOOVcIp","W4YGzv6Whe","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","X99M06cbEe","sdazOOVcIp"],"result":"≮⫘↔-110111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1277","layer":4},{"info":"compute unary expreesion, input=1277, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-38846","layer":3},{"info":"number node, value=4577","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=4577, right_input=4486, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-8716","layer":3},{"info":"compute binary expreesion, left_input=-38846, right_input=-8716, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=60362","layer":2},{"info":"number node, value=2977","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=2977, right_input=3095, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2083","layer":4},{"info":"compute unary expreesion, input=2083, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2868, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=60362, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":2,"result_base":2,"text":"⇈(((⫯≮⫘↔10011111101)⪒⊣⊆≮⫘↔1000111100001⨜⨶≮⫘↔1000110000110)≝⊿(≮⫘↔101110100001∀⇚≩≮⫘↔110000010111↸(⊤⊝≮⫘↔100000100011)))=≮⫘↔-110111111","reverse_text":"≮⫘↔-110111111=⇈(((⫯≮⫘↔10011111101)⪒⊣⊆≮⫘↔1000111100001⨜⨶≮⫘↔1000110000110)≝⊿(≮⫘↔101110100001∀⇚≩≮⫘↔110000010111↸(⊤⊝≮⫘↔100000100011)))","cot":[{"info":"⫯≮⫘↔10011111101=≮⫘↔-1001011110111110","layer":3},{"info":"≮⫘↔1000111100001⨜⨶≮⫘↔1000110000110=≮⫘↔-10001000001100","layer":3},{"info":"≮⫘↔-1001011110111110⪒⊣⊆≮⫘↔-10001000001100=≮⫘↔1110101111001010","layer":2},{"info":"≮⫘↔101110100001∀⇚≩≮⫘↔110000010111=NaN","layer":3},{"info":"⊤⊝≮⫘↔100000100011=≮⫘↔101100110100","layer":3},{"info":"NaN↸≮⫘↔101100110100=NaN","layer":2},{"info":"≮⫘↔1110101111001010≝⊿NaN=NaN","layer":1},{"info":"⇈NaN=≮⫘↔-110111111","layer":0}]}
{"id":547,"expression_no_base_symbol":"⊀((⫶⊄≣$2000$)∕⩚$1494$⪛⫼$1764$)⪪(⋎⨆(⩦⊞$1777$))","expression":"⊀((⫶⊄≣≮⫘↔11111010000)∕⩚≮⫘↔10111010110⪛⫼≮⫘↔11011100100)⪪(⋎⨆(⩦⊞≮⫘↔11011110001))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2478,"operation_count":7,"complexity_ratio":354.0,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2000,"base":2}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1494,"base":2},"right_expr":{"type":"numeric_atoms","value":1764,"base":2}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1777,"base":2}}}}},"used_operators":["oPMjh9089D","xD69zh8xqp","z9ffQ9n5Zr","wxb3vTeyAj","hyuBjUqXlG","E64sFOc4tB","u7fv1HBiaC"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2000","layer":4},{"info":"compute unary expreesion, input=2000, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=72032689","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1764, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=72032689, right_input=968, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"number node, value=1777","layer":4},{"info":"compute unary expreesion, input=1777, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1504","layer":3},{"info":"compute unary expreesion, input=-1504, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊀((⫶⊄≣≮⫘↔11111010000)∕⩚≮⫘↔10111010110⪛⫼≮⫘↔11011100100)⪪(⋎⨆(⩦⊞≮⫘↔11011110001))=NaN","reverse_text":"NaN=⊀((⫶⊄≣≮⫘↔11111010000)∕⩚≮⫘↔10111010110⪛⫼≮⫘↔11011100100)⪪(⋎⨆(⩦⊞≮⫘↔11011110001))","cot":[{"info":"⫶⊄≣≮⫘↔11111010000=≮⫘↔100010010110010000110110001","layer":3},{"info":"≮⫘↔10111010110⪛⫼≮⫘↔11011100100=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔100010010110010000110110001∕⩚≮⫘↔1111001000=NaN","layer":2},{"info":"⩦⊞≮⫘↔11011110001=≮⫘↔-10111100000","layer":3},{"info":"⋎⨆≮⫘↔-10111100000=≮⫘↔11111101111011011110000","layer":2},{"info":"NaN⪪≮⫘↔11111101111011011110000=NaN","layer":1},{"info":"⊀NaN=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"($1002$⪭≯$1886$⫰⋱$5472$⪝$1098$)⨚⇆(⊤⊝$3455$)⩣⫁∢($4877$⫰⋱$1072$)⨹","expression":"(≮⫘↔1111101010⪭≯≮⫘↔11101011110⫰⋱≮⫘↔1010101100000⪝≮⫘↔10001001010)⨚⇆(⊤⊝≮⫘↔110101111111)⩣⫁∢(≮⫘↔1001100001101⫰⋱≮⫘↔10000110000)⨹","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3888,"operation_count":8,"complexity_ratio":486.0,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1002,"base":2},"right_expr":{"type":"numeric_atoms","value":1886,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5472,"base":2},"right_expr":{"type":"numeric_atoms","value":1098,"base":2}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":3455,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4877,"base":2},"right_expr":{"type":"numeric_atoms","value":1072,"base":2}}}}},"used_operators":["UnCoSGIALn","lwHaAYXP2r","6o9Blt3TJ6","XAx5wpdLa6","wicAB68Tmb","JDUIKTTSIa","rXAclfmB4M"],"dependent_operators":["mp7IySMOzn","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","sdazOOVcIp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1886, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=5472","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=5472, right_input=1098, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-17895","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17895, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=3455","layer":4},{"info":"compute unary expreesion, input=3455, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=5612","layer":3},{"info":"number node, value=4877","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=4877, right_input=1072, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4844","layer":3},{"info":"compute binary expreesion, left_input=5612, right_input=-4844, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11063","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11063, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111101010⪭≯≮⫘↔11101011110⫰⋱≮⫘↔1010101100000⪝≮⫘↔10001001010)⨚⇆(⊤⊝≮⫘↔110101111111)⩣⫁∢(≮⫘↔1001100001101⫰⋱≮⫘↔10000110000)⨹=NaN","reverse_text":"NaN=(≮⫘↔1111101010⪭≯≮⫘↔11101011110⫰⋱≮⫘↔1010101100000⪝≮⫘↔10001001010)⨚⇆(⊤⊝≮⫘↔110101111111)⩣⫁∢(≮⫘↔1001100001101⫰⋱≮⫘↔10000110000)⨹","cot":[{"info":"≮⫘↔1111101010⪭≯≮⫘↔11101011110=NaN","layer":3},{"info":"≮⫘↔1010101100000⪝≮⫘↔10001001010=≮⫘↔-100010111100111","layer":3},{"info":"NaN⫰⋱≮⫘↔-100010111100111=NaN","layer":2},{"info":"⊤⊝≮⫘↔110101111111=≮⫘↔1010111101100","layer":3},{"info":"≮⫘↔1001100001101⫰⋱≮⫘↔10000110000=≮⫘↔-1001011101100","layer":3},{"info":"≮⫘↔1010111101100⩣⫁∢≮⫘↔-1001011101100=≮⫘↔-10101100110111","layer":2},{"info":"NaN⨚⇆≮⫘↔-10101100110111=NaN","layer":1},{"info":"NaN⨹=NaN","layer":0}]}
{"id":549,"expression_no_base_symbol":"((⩷⨜⫀($3332$≠≀$2292$))⨀⨒)⪮%⊝(⋣((⪁⇼$6086$)≭($2632$⊴⇁⪶)))","expression":"((⩷⨜⫀(≮⫘↔110100000100≠≀≮⫘↔100011110100))⨀⨒)⪮%⊝(⋣((⪁⇼≮⫘↔1011111000110)≭(≮⫘↔101001001000⊴⇁⪶)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2882,"operation_count":8,"complexity_ratio":360.25,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3332,"base":2},"right_expr":{"type":"numeric_atoms","value":2292,"base":2}}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":6086,"base":2}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":2632,"base":2}}}}},"used_operators":["IWmyXbctLI","j6NVkjMzuk","CDi0ktkjQ4","IwW236VD4Y","zQWRhDnn8F","rxpJgHHUmx","ZNVVrZ94lY","oo9mF6JIpo"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","ruOEQAzv1W","nhYeJWJD5X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","AHs5Up7iyr","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"≮⫘↔-1000110010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3332","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=3332, right_input=2292, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6358","layer":3},{"info":"compute unary expreesion, input=-6358, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"compute unary expreesion, input=-766, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":1},{"info":"number node, value=6086","layer":4},{"info":"compute unary expreesion, input=6086, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=2632","layer":4},{"info":"compute unary expreesion, input=2632, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=50226","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=50226, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=-2407, right_input=-113, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-4498","layer":0}],"base":2,"result_base":2,"text":"((⩷⨜⫀(≮⫘↔110100000100≠≀≮⫘↔100011110100))⨀⨒)⪮%⊝(⋣((⪁⇼≮⫘↔1011111000110)≭(≮⫘↔101001001000⊴⇁⪶)))=≮⫘↔-1000110010010","reverse_text":"≮⫘↔-1000110010010=((⩷⨜⫀(≮⫘↔110100000100≠≀≮⫘↔100011110100))⨀⨒)⪮%⊝(⋣((⪁⇼≮⫘↔1011111000110)≭(≮⫘↔101001001000⊴⇁⪶)))","cot":[{"info":"≮⫘↔110100000100≠≀≮⫘↔100011110100=≮⫘↔-1100011010110","layer":3},{"info":"⩷⨜⫀≮⫘↔-1100011010110=≮⫘↔-1011111110","layer":2},{"info":"≮⫘↔-1011111110⨀⨒=≮⫘↔-100101100111","layer":1},{"info":"⪁⇼≮⫘↔1011111000110=≮⫘↔110100110","layer":3},{"info":"≮⫘↔101001001000⊴⇁⪶=≮⫘↔1100010000110010","layer":3},{"info":"≮⫘↔110100110≭≮⫘↔1100010000110010=NaN","layer":2},{"info":"⋣NaN=≮⫘↔-1110001","layer":1},{"info":"≮⫘↔-100101100111⪮%⊝≮⫘↔-1110001=≮⫘↔-1000110010010","layer":0}]}
{"id":550,"expression_no_base_symbol":"(($1458$⊍⩺⋍$1378$)∙⊟($1106$⫦⪉$1889$))↳∿⪆($2477$⫃⨇$1229$↸($3008$⊍⩺⋍$1301$))∖(↘$2980$)⩍⋽⫝̸($3098$⪊≅)⨔≚≋(⊀($3128$⨐⩸⫘$1754$))","expression":"((≮⫘↔10110110010⊍⩺⋍≮⫘↔10101100010)∙⊟(≮⫘↔10001010010⫦⪉≮⫘↔11101100001))↳∿⪆(≮⫘↔100110101101⫃⨇≮⫘↔10011001101↸(≮⫘↔101111000000⊍⩺⋍≮⫘↔10100010101))∖(↘≮⫘↔101110100100)⩍⋽⫝̸(≮⫘↔110000011010⪊≅)⨔≚≋(⊀(≮⫘↔110000111000⨐⩸⫘≮⫘↔11011011010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3200,"operation_count":14,"complexity_ratio":228.57142857142858,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1458,"base":2},"right_expr":{"type":"numeric_atoms","value":1378,"base":2}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1106,"base":2},"right_expr":{"type":"numeric_atoms","value":1889,"base":2}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2477,"base":2},"right_expr":{"type":"numeric_atoms","value":1229,"base":2}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3008,"base":2},"right_expr":{"type":"numeric_atoms","value":1301,"base":2}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2980,"base":2}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":3098,"base":2}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3128,"base":2},"right_expr":{"type":"numeric_atoms","value":1754,"base":2}}}}},"used_operators":["tXD093vOjl","Cw4SuJJGHO","SxTAKzQCrw","OXDGMFPWZM","wscyQdcy20","1eCjFl0mb9","09Ly4LVMIf","Z57zeUYC9z","BiWNJpBvwn","LdNpr8hQHL","bjFbhXSADs","oPMjh9089D","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Ph9nP6C5qx","xUOZtlo3hN","uFcxV4UQCh","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","3ViojmjbAp"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1458","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=1378, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1889, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2688","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2688, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"number node, value=2477","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=1229, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4948","layer":3},{"info":"number node, value=3008","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=1301, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4948, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-4948","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4948, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=2980","layer":4},{"info":"compute unary expreesion, input=2980, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=236","layer":3},{"info":"number node, value=3098","layer":4},{"info":"compute unary expreesion, input=3098, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=236, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":2},{"info":"number node, value=3128","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=1754, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-209, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110110010⊍⩺⋍≮⫘↔10101100010)∙⊟(≮⫘↔10001010010⫦⪉≮⫘↔11101100001))↳∿⪆(≮⫘↔100110101101⫃⨇≮⫘↔10011001101↸(≮⫘↔101111000000⊍⩺⋍≮⫘↔10100010101))∖(↘≮⫘↔101110100100)⩍⋽⫝̸(≮⫘↔110000011010⪊≅)⨔≚≋(⊀(≮⫘↔110000111000⨐⩸⫘≮⫘↔11011011010))=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔10110110010⊍⩺⋍≮⫘↔10101100010)∙⊟(≮⫘↔10001010010⫦⪉≮⫘↔11101100001))↳∿⪆(≮⫘↔100110101101⫃⨇≮⫘↔10011001101↸(≮⫘↔101111000000⊍⩺⋍≮⫘↔10100010101))∖(↘≮⫘↔101110100100)⩍⋽⫝̸(≮⫘↔110000011010⪊≅)⨔≚≋(⊀(≮⫘↔110000111000⨐⩸⫘≮⫘↔11011011010))","cot":[{"info":"≮⫘↔10110110010⊍⩺⋍≮⫘↔10101100010=NaN","layer":3},{"info":"≮⫘↔10001010010⫦⪉≮⫘↔11101100001=≮⫘↔101010000000","layer":3},{"info":"NaN∙⊟≮⫘↔101010000000=NaN","layer":2},{"info":"≮⫘↔100110101101⫃⨇≮⫘↔10011001101=≮⫘↔-1001101010100","layer":3},{"info":"≮⫘↔101111000000⊍⩺⋍≮⫘↔10100010101=NaN","layer":3},{"info":"≮⫘↔-1001101010100↸NaN=≮⫘↔-1001101010100","layer":2},{"info":"NaN↳∿⪆≮⫘↔-1001101010100=NaN","layer":1},{"info":"↘≮⫘↔101110100100=≮⫘↔11101100","layer":3},{"info":"≮⫘↔110000011010⪊≅=≮⫘↔0","layer":3},{"info":"≮⫘↔11101100⩍⋽⫝̸≮⫘↔0=≮⫘↔-11010001","layer":2},{"info":"≮⫘↔110000111000⨐⩸⫘≮⫘↔11011011010=NaN","layer":3},{"info":"⊀NaN=NaN","layer":2},{"info":"≮⫘↔-11010001⨔≚≋NaN=NaN","layer":1},{"info":"NaN∖NaN=≮⫘↔0","layer":0}]}
{"id":551,"expression_no_base_symbol":"⋠∜((⫯$3267$)≑≱⪘)∥⊢⊲($1330$⪒⊣⊆$1156$⩱)","expression":"⋠∜((⫯≮⫘↔110011000011)≑≱⪘)∥⊢⊲(≮⫘↔10100110010⪒⊣⊆≮⫘↔10010000100⩱)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":210,"operation_count":6,"complexity_ratio":35.0,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3267,"base":2}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1330,"base":2},"right_expr":{"type":"numeric_atoms","value":1156,"base":2}}}}},"used_operators":["ZJpFhNJr3x","v1UQAVDJRr","tGSeddj7UK","H6BK1Evt7c","uyq1hVkAcj","eRqsBgTDFp"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","sdazOOVcIp","W4YGzv6Whe"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3267","layer":4},{"info":"compute unary expreesion, input=3267, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-122426","layer":3},{"info":"compute unary expreesion, input=-122426, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=3076642","layer":2},{"info":"number node, value=1330","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=1156, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2660","layer":3},{"info":"compute unary expreesion, input=2660, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-16210","layer":2},{"info":"compute binary expreesion, left_input=3076642, right_input=-16210, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":0}],"base":2,"result_base":2,"text":"⋠∜((⫯≮⫘↔110011000011)≑≱⪘)∥⊢⊲(≮⫘↔10100110010⪒⊣⊆≮⫘↔10010000100⩱)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=⋠∜((⫯≮⫘↔110011000011)≑≱⪘)∥⊢⊲(≮⫘↔10100110010⪒⊣⊆≮⫘↔10010000100⩱)","cot":[{"info":"⫯≮⫘↔110011000011=≮⫘↔-11101111000111010","layer":3},{"info":"≮⫘↔-11101111000111010≑≱⪘=≮⫘↔1011101111001000100010","layer":2},{"info":"≮⫘↔10100110010⪒⊣⊆≮⫘↔10010000100=≮⫘↔101001100100","layer":3},{"info":"≮⫘↔101001100100⩱=≮⫘↔-11111101010010","layer":2},{"info":"≮⫘↔1011101111001000100010∥⊢⊲≮⫘↔-11111101010010=NaN","layer":1},{"info":"⋠∜NaN=≮⫘↔1000011","layer":0}]}
{"id":552,"expression_no_base_symbol":"(($1432$⩣⫁∢$3194$⫌⩹⨱)⋥⋵⩄(($2250$⩘⨬⇊)⪷))⨂≜($1203$⨫⇇↔$4271$↡⊰⫅($7549$∧)⪹)","expression":"((≮⫘↔10110011000⩣⫁∢≮⫘↔110001111010⫌⩹⨱)⋥⋵⩄((≮⫘↔100011001010⩘⨬⇊)⪷))⨂≜(≮⫘↔10010110011⨫⇇↔≮⫘↔1000010101111↡⊰⫅(≮⫘↔1110101111101∧)⪹)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1154,"operation_count":10,"complexity_ratio":115.4,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1432,"base":2},"right_expr":{"type":"numeric_atoms","value":3194,"base":2}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":2250,"base":2}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1203,"base":2},"right_expr":{"type":"numeric_atoms","value":4271,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":7549,"base":2}}}}},"used_operators":["k1SHOSEABc","7t3wd0Fuz7","EBcxylXtPf","JDUIKTTSIa","Qctrpi3WzA","XXmTpEpWTW","B3sABdIn96","VCtxkLNOzz","LXhwmt4mBO","z63VuFQld9"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Nsiff2A1zJ","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1432","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=3194, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2703","layer":3},{"info":"compute unary expreesion, input=-2703, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-4005","layer":2},{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4005, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"number node, value=1203","layer":4},{"info":"number node, value=4271","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=4271, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=7549","layer":4},{"info":"compute unary expreesion, input=7549, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110011000⩣⫁∢≮⫘↔110001111010⫌⩹⨱)⋥⋵⩄((≮⫘↔100011001010⩘⨬⇊)⪷))⨂≜(≮⫘↔10010110011⨫⇇↔≮⫘↔1000010101111↡⊰⫅(≮⫘↔1110101111101∧)⪹)=NaN","reverse_text":"NaN=((≮⫘↔10110011000⩣⫁∢≮⫘↔110001111010⫌⩹⨱)⋥⋵⩄((≮⫘↔100011001010⩘⨬⇊)⪷))⨂≜(≮⫘↔10010110011⨫⇇↔≮⫘↔1000010101111↡⊰⫅(≮⫘↔1110101111101∧)⪹)","cot":[{"info":"≮⫘↔10110011000⩣⫁∢≮⫘↔110001111010=≮⫘↔-101010001111","layer":3},{"info":"≮⫘↔-101010001111⫌⩹⨱=≮⫘↔-111110100101","layer":2},{"info":"≮⫘↔100011001010⩘⨬⇊=NaN","layer":3},{"info":"NaN⪷=NaN","layer":2},{"info":"≮⫘↔-111110100101⋥⋵⩄NaN=NaN","layer":1},{"info":"≮⫘↔10010110011⨫⇇↔≮⫘↔1000010101111=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔1110101111101∧=NaN","layer":3},{"info":"≮⫘↔-1000001111↡⊰⫅NaN=NaN","layer":2},{"info":"NaN⪹=NaN","layer":1},{"info":"NaN⨂≜NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"(($5454$⪁$1892$)⫸⊐$6157$⪨⊡$4063$)∋(⇠(≻⋜$1377$))⪘⫢(⪫⨮⊛($1848$⊍⩺⋍$1691$))⨂≜(⩩(≸$7803$))","expression":"((≮⫘↔1010101001110⪁≮⫘↔11101100100)⫸⊐≮⫘↔1100000001101⪨⊡≮⫘↔111111011111)∋(⇠(≻⋜≮⫘↔10101100001))⪘⫢(⪫⨮⊛(≮⫘↔11100111000⊍⩺⋍≮⫘↔11010011011))⨂≜(⩩(≸≮⫘↔1111001111011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46344113,"operation_count":12,"complexity_ratio":3862009.4166666665,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5454,"base":2},"right_expr":{"type":"numeric_atoms","value":1892,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":6157,"base":2},"right_expr":{"type":"numeric_atoms","value":4063,"base":2}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1377,"base":2}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1848,"base":2},"right_expr":{"type":"numeric_atoms","value":1691,"base":2}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":7803,"base":2}}}}},"used_operators":["oacrs7FA3X","ukq6epAj5P","mqXw5SEYmG","I7sXao9hZE","kuIXHzHcAH","18saOjeKKm","3tj9sqzovi","k1SHOSEABc","w5FWba1tyO","OXDGMFPWZM","kMhfGuqI2H","eOf03JbCpp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5454","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=5454, right_input=1892, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=6157","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=6157, right_input=4063, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"number node, value=1848","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=1691, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=7803","layer":4},{"info":"compute unary expreesion, input=7803, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010101001110⪁≮⫘↔11101100100)⫸⊐≮⫘↔1100000001101⪨⊡≮⫘↔111111011111)∋(⇠(≻⋜≮⫘↔10101100001))⪘⫢(⪫⨮⊛(≮⫘↔11100111000⊍⩺⋍≮⫘↔11010011011))⨂≜(⩩(≸≮⫘↔1111001111011))=NaN","reverse_text":"NaN=((≮⫘↔1010101001110⪁≮⫘↔11101100100)⫸⊐≮⫘↔1100000001101⪨⊡≮⫘↔111111011111)∋(⇠(≻⋜≮⫘↔10101100001))⪘⫢(⪫⨮⊛(≮⫘↔11100111000⊍⩺⋍≮⫘↔11010011011))⨂≜(⩩(≸≮⫘↔1111001111011))","cot":[{"info":"≮⫘↔1010101001110⪁≮⫘↔11101100100=NaN","layer":3},{"info":"≮⫘↔1100000001101⪨⊡≮⫘↔111111011111=≮⫘↔0","layer":3},{"info":"NaN⫸⊐≮⫘↔0=NaN","layer":2},{"info":"≻⋜≮⫘↔10101100001=NaN","layer":3},{"info":"⇠NaN=NaN","layer":2},{"info":"NaN∋NaN=NaN","layer":1},{"info":"≮⫘↔11100111000⊍⩺⋍≮⫘↔11010011011=NaN","layer":3},{"info":"⪫⨮⊛NaN=NaN","layer":2},{"info":"≸≮⫘↔1111001111011=≮⫘↔111010","layer":3},{"info":"⩩≮⫘↔111010=NaN","layer":2},{"info":"NaN⨂≜NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":554,"expression_no_base_symbol":"⫎≠⋺((⇙⪊($8711$⊴$4381$))⪢($5346$⊕∕$4877$⋳⪒$1478$⨼⩣$2893$))","expression":"⫎≠⋺((⇙⪊(≮⫘↔10001000000111⊴≮⫘↔1000100011101))⪢(≮⫘↔1010011100010⊕∕≮⫘↔1001100001101⋳⪒≮⫘↔10111000110⨼⩣≮⫘↔101101001101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24879,"operation_count":7,"complexity_ratio":3554.1428571428573,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8711,"base":2},"right_expr":{"type":"numeric_atoms","value":4381,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5346,"base":2},"right_expr":{"type":"numeric_atoms","value":4877,"base":2}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1478,"base":2},"right_expr":{"type":"numeric_atoms","value":2893,"base":2}}}}},"used_operators":["LYeZOJ0nQG","dWAJyo7jo9","pB6Fcnrjim","Nsiff2A1zJ","12rbrZMWeM","9cloC0Ngie","JxwMv5le6e"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","k8jYdgA6NY","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=8711","layer":4},{"info":"number node, value=4381","layer":4},{"info":"compute binary expreesion, left_input=8711, right_input=4381, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=5346","layer":4},{"info":"number node, value=4877","layer":4},{"info":"compute binary expreesion, left_input=5346, right_input=4877, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5346","layer":3},{"info":"number node, value=1478","layer":4},{"info":"number node, value=2893","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=2893, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5346, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫎≠⋺((⇙⪊(≮⫘↔10001000000111⊴≮⫘↔1000100011101))⪢(≮⫘↔1010011100010⊕∕≮⫘↔1001100001101⋳⪒≮⫘↔10111000110⨼⩣≮⫘↔101101001101))=NaN","reverse_text":"NaN=⫎≠⋺((⇙⪊(≮⫘↔10001000000111⊴≮⫘↔1000100011101))⪢(≮⫘↔1010011100010⊕∕≮⫘↔1001100001101⋳⪒≮⫘↔10111000110⨼⩣≮⫘↔101101001101))","cot":[{"info":"≮⫘↔10001000000111⊴≮⫘↔1000100011101=NaN","layer":3},{"info":"⇙⪊NaN=NaN","layer":2},{"info":"≮⫘↔1010011100010⊕∕≮⫘↔1001100001101=≮⫘↔1010011100010","layer":3},{"info":"≮⫘↔10111000110⨼⩣≮⫘↔101101001101=NaN","layer":3},{"info":"≮⫘↔1010011100010⋳⪒NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⫎≠⋺NaN=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"↩⪖(((⫶⊄≣$4817$)∲⫓$7569$↳∿⪆$2064$)⊴⇁⪶)","expression":"↩⪖(((⫶⊄≣≮⫘↔1001011010001)∲⫓≮⫘↔1110110010001↳∿⪆≮⫘↔100000010000)⊴⇁⪶)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7402,"operation_count":5,"complexity_ratio":1480.4,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":4817,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":7569,"base":2},"right_expr":{"type":"numeric_atoms","value":2064,"base":2}}}}},"used_operators":["fG6uBQFnGz","oo9mF6JIpo","i8ToyICDmI","wxb3vTeyAj","Cw4SuJJGHO"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4817","layer":4},{"info":"compute unary expreesion, input=4817, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=417746197","layer":3},{"info":"number node, value=7569","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=7569, right_input=2064, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=417746197, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↩⪖(((⫶⊄≣≮⫘↔1001011010001)∲⫓≮⫘↔1110110010001↳∿⪆≮⫘↔100000010000)⊴⇁⪶)=NaN","reverse_text":"NaN=↩⪖(((⫶⊄≣≮⫘↔1001011010001)∲⫓≮⫘↔1110110010001↳∿⪆≮⫘↔100000010000)⊴⇁⪶)","cot":[{"info":"⫶⊄≣≮⫘↔1001011010001=≮⫘↔11000111001100100110100010101","layer":3},{"info":"≮⫘↔1110110010001↳∿⪆≮⫘↔100000010000=NaN","layer":3},{"info":"≮⫘↔11000111001100100110100010101∲⫓NaN=NaN","layer":2},{"info":"NaN⊴⇁⪶=NaN","layer":1},{"info":"↩⪖NaN=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"(↩(≑⋹($4846$⫸⊐$1836$)))⨕⋳","expression":"(↩(≑⋹(≮⫘↔1001011101110⫸⊐≮⫘↔11100101100)))⨕⋳","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":239,"operation_count":4,"complexity_ratio":59.75,"tree":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4846,"base":2},"right_expr":{"type":"numeric_atoms","value":1836,"base":2}}}}},"used_operators":["4X4GscPmMf","jLgFTUHLKL","6B9nyZLogK","mqXw5SEYmG"],"dependent_operators":["9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≮⫘↔-100100101110101110110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4846","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=4846, right_input=1836, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7219","layer":3},{"info":"compute unary expreesion, input=7219, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute unary expreesion, input=1650, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10420","layer":1},{"info":"compute unary expreesion, input=-10420, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-1203574","layer":0}],"base":2,"result_base":2,"text":"(↩(≑⋹(≮⫘↔1001011101110⫸⊐≮⫘↔11100101100)))⨕⋳=≮⫘↔-100100101110101110110","reverse_text":"≮⫘↔-100100101110101110110=(↩(≑⋹(≮⫘↔1001011101110⫸⊐≮⫘↔11100101100)))⨕⋳","cot":[{"info":"≮⫘↔1001011101110⫸⊐≮⫘↔11100101100=≮⫘↔1110000110011","layer":3},{"info":"≑⋹≮⫘↔1110000110011=≮⫘↔11001110010","layer":2},{"info":"↩≮⫘↔11001110010=≮⫘↔-10100010110100","layer":1},{"info":"≮⫘↔-10100010110100⨕⋳=≮⫘↔-100100101110101110110","layer":0}]}
{"id":557,"expression_no_base_symbol":"((⨵$1329$≁↽≥$5154$)↰)∠⫱(($1183$≦≮≮)↺($1412$⫚↹⊑$1591$))≎⊠⪸(⩎⋉($2823$⫲≸⪮$3979$))","expression":"((⨵≮⫘↔10100110001≁↽≥≮⫘↔1010000100010)↰)∠⫱((≮⫘↔10010011111≦≮≮)↺(≮⫘↔10110000100⫚↹⊑≮⫘↔11000110111))≎⊠⪸(⩎⋉(≮⫘↔101100000111⫲≸⪮≮⫘↔111110001011))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3282,"operation_count":10,"complexity_ratio":328.2,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1329,"base":2},"right_expr":{"type":"numeric_atoms","value":5154,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1183,"base":2}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1412,"base":2},"right_expr":{"type":"numeric_atoms","value":1591,"base":2}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2823,"base":2},"right_expr":{"type":"numeric_atoms","value":3979,"base":2}}}}},"used_operators":["QvoQhV0rrE","bl5wxAcryP","Tl3Y52tvF8","ncHt1X6cMc","bJkvcejdHO","7j4O788W3g","D4vGDi5EA2","dfKe02y8D2","FlXk3pOYe8","P3lXMJvFrc"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","nCS4ZIUYfx","Z2TMIBDE3Q","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","oWn0xqSxBt","3Oe9XWJUTD","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=5154, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=29867","layer":3},{"info":"compute unary expreesion, input=29867, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-240145","layer":2},{"info":"compute unary expreesion, input=-240145, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-240246","layer":1},{"info":"number node, value=1183","layer":4},{"info":"compute unary expreesion, input=1183, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3549","layer":3},{"info":"number node, value=1412","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=1591, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-3549, right_input=-447, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-447","layer":2},{"info":"number node, value=2823","layer":4},{"info":"number node, value=3979","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=3979, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2823","layer":3},{"info":"compute unary expreesion, input=2823, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=1650, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=115773","layer":1},{"info":"compute binary expreesion, left_input=-240246, right_input=115773, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((⨵≮⫘↔10100110001≁↽≥≮⫘↔1010000100010)↰)∠⫱((≮⫘↔10010011111≦≮≮)↺(≮⫘↔10110000100⫚↹⊑≮⫘↔11000110111))≎⊠⪸(⩎⋉(≮⫘↔101100000111⫲≸⪮≮⫘↔111110001011))=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((⨵≮⫘↔10100110001≁↽≥≮⫘↔1010000100010)↰)∠⫱((≮⫘↔10010011111≦≮≮)↺(≮⫘↔10110000100⫚↹⊑≮⫘↔11000110111))≎⊠⪸(⩎⋉(≮⫘↔101100000111⫲≸⪮≮⫘↔111110001011))","cot":[{"info":"≮⫘↔10100110001≁↽≥≮⫘↔1010000100010=≮⫘↔111010010101011","layer":3},{"info":"⨵≮⫘↔111010010101011=≮⫘↔-111010101000010001","layer":2},{"info":"≮⫘↔-111010101000010001↰=≮⫘↔-111010101001110110","layer":1},{"info":"≮⫘↔10010011111≦≮≮=≮⫘↔-110111011101","layer":3},{"info":"≮⫘↔10110000100⫚↹⊑≮⫘↔11000110111=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-110111011101↺≮⫘↔-110111111=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔101100000111⫲≸⪮≮⫘↔111110001011=≮⫘↔101100000111","layer":3},{"info":"⩎⋉≮⫘↔101100000111=≮⫘↔11001110010","layer":2},{"info":"≮⫘↔-110111111≎⊠⪸≮⫘↔11001110010=≮⫘↔11100010000111101","layer":1},{"info":"≮⫘↔-111010101001110110∠⫱≮⫘↔11100010000111101=≮⫘↔10011010010","layer":0}]}
{"id":558,"expression_no_base_symbol":"≘((⪸$1980$)⫯⪬∳($2333$≓∲$6046$)⩍⋽⫝̸($1776$⇉⇉)⨽∌($6021$⨐⩸⫘$5407$))","expression":"≘((⪸≮⫘↔11110111100)⫯⪬∳(≮⫘↔100100011101≓∲≮⫘↔1011110011110)⩍⋽⫝̸(≮⫘↔11011110000⇉⇉)⨽∌(≮⫘↔1011110000101⨐⩸⫘≮⫘↔1010100011111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":252,"operation_count":8,"complexity_ratio":31.5,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1980,"base":2}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2333,"base":2},"right_expr":{"type":"numeric_atoms","value":6046,"base":2}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1776,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6021,"base":2},"right_expr":{"type":"numeric_atoms","value":5407,"base":2}}}}},"used_operators":["tcjXMdvYtA","BiWNJpBvwn","d7ASUq0ydm","86A5ENbKR9","s1XTVnmDOJ","9samAPKr6k","diKm42VcIt","fu6greOZ01"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1980","layer":4},{"info":"compute unary expreesion, input=1980, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-33451","layer":3},{"info":"number node, value=2333","layer":4},{"info":"number node, value=6046","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=6046, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=24113","layer":3},{"info":"compute binary expreesion, left_input=-33451, right_input=24113, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=99880","layer":2},{"info":"number node, value=1776","layer":4},{"info":"compute unary expreesion, input=1776, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-106024","layer":3},{"info":"number node, value=6021","layer":4},{"info":"number node, value=5407","layer":4},{"info":"compute binary expreesion, left_input=6021, right_input=5407, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-106024, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=99880, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≘((⪸≮⫘↔11110111100)⫯⪬∳(≮⫘↔100100011101≓∲≮⫘↔1011110011110)⩍⋽⫝̸(≮⫘↔11011110000⇉⇉)⨽∌(≮⫘↔1011110000101⨐⩸⫘≮⫘↔1010100011111))=NaN","reverse_text":"NaN=≘((⪸≮⫘↔11110111100)⫯⪬∳(≮⫘↔100100011101≓∲≮⫘↔1011110011110)⩍⋽⫝̸(≮⫘↔11011110000⇉⇉)⨽∌(≮⫘↔1011110000101⨐⩸⫘≮⫘↔1010100011111))","cot":[{"info":"⪸≮⫘↔11110111100=≮⫘↔-1000001010101011","layer":3},{"info":"≮⫘↔100100011101≓∲≮⫘↔1011110011110=≮⫘↔101111000110001","layer":3},{"info":"≮⫘↔-1000001010101011⫯⪬∳≮⫘↔101111000110001=≮⫘↔11000011000101000","layer":2},{"info":"≮⫘↔11011110000⇉⇉=≮⫘↔-11001111000101000","layer":3},{"info":"≮⫘↔1011110000101⨐⩸⫘≮⫘↔1010100011111=NaN","layer":3},{"info":"≮⫘↔-11001111000101000⨽∌NaN=NaN","layer":2},{"info":"≮⫘↔11000011000101000⩍⋽⫝̸NaN=NaN","layer":1},{"info":"≘NaN=NaN","layer":0}]}
{"id":559,"expression_no_base_symbol":"(≋$4565$⩼⇪↪$4003$)⊕∕((⩷$1073$)≴⪞⇿($1686$⊉≛↸$1005$))⩵∡($2741$≴⪞⇿$1424$⫁⪎($6476$⩨$9195$))⨼⩣($2160$⩘$6517$)⊢($4583$⪕$3035$)","expression":"(≋≮⫘↔1000111010101⩼⇪↪≮⫘↔111110100011)⊕∕((⩷≮⫘↔10000110001)≴⪞⇿(≮⫘↔11010010110⊉≛↸≮⫘↔1111101101))⩵∡(≮⫘↔101010110101≴⪞⇿≮⫘↔10110010000⫁⪎(≮⫘↔1100101001100⩨≮⫘↔10001111101011))⨼⩣(≮⫘↔100001110000⩘≮⫘↔1100101110101)⊢(≮⫘↔1000111100111⪕≮⫘↔101111011011)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":46774,"operation_count":14,"complexity_ratio":3341.0,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4565,"base":2},"right_expr":{"type":"numeric_atoms","value":4003,"base":2}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1073,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1686,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2741,"base":2},"right_expr":{"type":"numeric_atoms","value":1424,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6476,"base":2},"right_expr":{"type":"numeric_atoms","value":9195,"base":2}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2160,"base":2},"right_expr":{"type":"numeric_atoms","value":6517,"base":2}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4583,"base":2},"right_expr":{"type":"numeric_atoms","value":3035,"base":2}}}}},"used_operators":["Y7wcNGrDQJ","9cloC0Ngie","61wBmkZwlr","ocnLzx9CaJ","lvlrscuwVU","1h0rLqGiFr","DZ8iAZOCBD","JxwMv5le6e","xRrnTEsQ6j","2DlMacCsIx","5twsqlHp2o","cHh1gJQ2o6","umQnsF7QlU"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4565","layer":4},{"info":"number node, value=4003","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=4003, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-19674","layer":3},{"info":"compute unary expreesion, input=-19674, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-19674","layer":2},{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-12955","layer":3},{"info":"number node, value=1686","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=1005, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3372","layer":3},{"info":"compute binary expreesion, left_input=-12955, right_input=3372, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-159960","layer":2},{"info":"compute binary expreesion, left_input=-19674, right_input=-159960, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-19674","layer":1},{"info":"number node, value=2741","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=1424, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=12182282","layer":3},{"info":"number node, value=6476","layer":4},{"info":"number node, value=9195","layer":4},{"info":"compute binary expreesion, left_input=6476, right_input=9195, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=12182282, right_input=-3, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=12182285","layer":2},{"info":"number node, value=2160","layer":4},{"info":"number node, value=6517","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=6517, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4583","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=3035, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=7032","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=7032, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-564","layer":2},{"info":"compute binary expreesion, left_input=12182285, right_input=-564, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-19674, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≋≮⫘↔1000111010101⩼⇪↪≮⫘↔111110100011)⊕∕((⩷≮⫘↔10000110001)≴⪞⇿(≮⫘↔11010010110⊉≛↸≮⫘↔1111101101))⩵∡(≮⫘↔101010110101≴⪞⇿≮⫘↔10110010000⫁⪎(≮⫘↔1100101001100⩨≮⫘↔10001111101011))⨼⩣(≮⫘↔100001110000⩘≮⫘↔1100101110101)⊢(≮⫘↔1000111100111⪕≮⫘↔101111011011)=NaN","reverse_text":"NaN=(≋≮⫘↔1000111010101⩼⇪↪≮⫘↔111110100011)⊕∕((⩷≮⫘↔10000110001)≴⪞⇿(≮⫘↔11010010110⊉≛↸≮⫘↔1111101101))⩵∡(≮⫘↔101010110101≴⪞⇿≮⫘↔10110010000⫁⪎(≮⫘↔1100101001100⩨≮⫘↔10001111101011))⨼⩣(≮⫘↔100001110000⩘≮⫘↔1100101110101)⊢(≮⫘↔1000111100111⪕≮⫘↔101111011011)","cot":[{"info":"≮⫘↔1000111010101⩼⇪↪≮⫘↔111110100011=≮⫘↔-100110011011010","layer":3},{"info":"≋≮⫘↔-100110011011010=≮⫘↔-100110011011010","layer":2},{"info":"⩷≮⫘↔10000110001=≮⫘↔-11001010011011","layer":3},{"info":"≮⫘↔11010010110⊉≛↸≮⫘↔1111101101=≮⫘↔110100101100","layer":3},{"info":"≮⫘↔-11001010011011≴⪞⇿≮⫘↔110100101100=≮⫘↔-100111000011011000","layer":2},{"info":"≮⫘↔-100110011011010⊕∕≮⫘↔-100111000011011000=≮⫘↔-100110011011010","layer":1},{"info":"≮⫘↔101010110101≴⪞⇿≮⫘↔10110010000=≮⫘↔101110011110001100001010","layer":3},{"info":"≮⫘↔1100101001100⩨≮⫘↔10001111101011=≮⫘↔-11","layer":3},{"info":"≮⫘↔101110011110001100001010⫁⪎≮⫘↔-11=≮⫘↔101110011110001100001101","layer":2},{"info":"≮⫘↔100001110000⩘≮⫘↔1100101110101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1000111100111⪕≮⫘↔101111011011=≮⫘↔1101101111000","layer":3},{"info":"≮⫘↔10100000⊢≮⫘↔1101101111000=≮⫘↔-1000110100","layer":2},{"info":"≮⫘↔101110011110001100001101⨼⩣≮⫘↔-1000110100=NaN","layer":1},{"info":"≮⫘↔-100110011011010⩵∡NaN=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"((⫇($1835$↙$5433$))⫲)⊱⇼⊻($5655$⪡$5923$⫦⪉$1060$⊋$6165$⋻⩜⩜($5066$⪃⊛⇣$4978$≬⋮$1815$⪬$2676$))","expression":"((⫇(≮⫘↔11100101011↙≮⫘↔1010100111001))⫲)⊱⇼⊻(≮⫘↔1011000010111⪡≮⫘↔1011100100011⫦⪉≮⫘↔10000100100⊋≮⫘↔1100000010101⋻⩜⩜(≮⫘↔1001111001010⪃⊛⇣≮⫘↔1001101110010≬⋮≮⫘↔11100010111⪬≮⫘↔101001110100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28970,"operation_count":11,"complexity_ratio":2633.6363636363635,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1835,"base":2},"right_expr":{"type":"numeric_atoms","value":5433,"base":2}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5655,"base":2},"right_expr":{"type":"numeric_atoms","value":5923,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1060,"base":2},"right_expr":{"type":"numeric_atoms","value":6165,"base":2}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5066,"base":2},"right_expr":{"type":"numeric_atoms","value":4978,"base":2}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1815,"base":2},"right_expr":{"type":"numeric_atoms","value":2676,"base":2}}}}},"used_operators":["FyVja0WsTP","9xnGDUPbC6","YjI8oCXuph","yyfyN0ffXY","oDCm7WA9JY","wscyQdcy20","oraRL2iQuh","W4tP9CfskL","kbkesczE7y","rrgAzCduG9","Ez1Nq5fNfI"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"≮⫘↔110110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1835","layer":4},{"info":"number node, value=5433","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=5433, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16299","layer":3},{"info":"compute unary expreesion, input=-16299, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-15353","layer":2},{"info":"compute unary expreesion, input=-15353, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=30585","layer":1},{"info":"number node, value=5655","layer":4},{"info":"number node, value=5923","layer":4},{"info":"compute binary expreesion, left_input=5655, right_input=5923, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=6165","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=6165, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-246592616","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-246592616, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4686","layer":2},{"info":"number node, value=5066","layer":4},{"info":"number node, value=4978","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=4978, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=2676, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1234, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=4686, right_input=868, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9372","layer":1},{"info":"compute binary expreesion, left_input=30585, right_input=9372, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":0}],"base":2,"result_base":2,"text":"((⫇(≮⫘↔11100101011↙≮⫘↔1010100111001))⫲)⊱⇼⊻(≮⫘↔1011000010111⪡≮⫘↔1011100100011⫦⪉≮⫘↔10000100100⊋≮⫘↔1100000010101⋻⩜⩜(≮⫘↔1001111001010⪃⊛⇣≮⫘↔1001101110010≬⋮≮⫘↔11100010111⪬≮⫘↔101001110100))=≮⫘↔110110010","reverse_text":"≮⫘↔110110010=((⫇(≮⫘↔11100101011↙≮⫘↔1010100111001))⫲)⊱⇼⊻(≮⫘↔1011000010111⪡≮⫘↔1011100100011⫦⪉≮⫘↔10000100100⊋≮⫘↔1100000010101⋻⩜⩜(≮⫘↔1001111001010⪃⊛⇣≮⫘↔1001101110010≬⋮≮⫘↔11100010111⪬≮⫘↔101001110100))","cot":[{"info":"≮⫘↔11100101011↙≮⫘↔1010100111001=≮⫘↔-11111110101011","layer":3},{"info":"⫇≮⫘↔-11111110101011=≮⫘↔-11101111111001","layer":2},{"info":"≮⫘↔-11101111111001⫲=≮⫘↔111011101111001","layer":1},{"info":"≮⫘↔1011000010111⪡≮⫘↔1011100100011=≮⫘↔1101011","layer":3},{"info":"≮⫘↔10000100100⊋≮⫘↔1100000010101=≮⫘↔-1110101100101011010001101000","layer":3},{"info":"≮⫘↔1101011⫦⪉≮⫘↔-1110101100101011010001101000=≮⫘↔1001001001110","layer":2},{"info":"≮⫘↔1001111001010⪃⊛⇣≮⫘↔1001101110010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔11100010111⪬≮⫘↔101001110100=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011010010≬⋮≮⫘↔10011010010=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔1001001001110⋻⩜⩜≮⫘↔1101100100=≮⫘↔10010010011100","layer":1},{"info":"≮⫘↔111011101111001⊱⇼⊻≮⫘↔10010010011100=≮⫘↔110110010","layer":0}]}
{"id":561,"expression_no_base_symbol":"⩦⊞(($4140$≳⇉$2024$)⫒⫫$3403$∀⇚≩$5870$⫚↹⊑($4058$⊍⩺⋍$2385$)⨔≚≋$2996$⇻⋧≁$2195$)","expression":"⩦⊞((≮⫘↔1000000101100≳⇉≮⫘↔11111101000)⫒⫫≮⫘↔110101001011∀⇚≩≮⫘↔1011011101110⫚↹⊑(≮⫘↔111111011010⊍⩺⋍≮⫘↔100101010001)⨔≚≋≮⫘↔101110110100⇻⋧≁≮⫘↔100010010011)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":56005791,"operation_count":8,"complexity_ratio":7000723.875,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4140,"base":2},"right_expr":{"type":"numeric_atoms","value":2024,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3403,"base":2},"right_expr":{"type":"numeric_atoms","value":5870,"base":2}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4058,"base":2},"right_expr":{"type":"numeric_atoms","value":2385,"base":2}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2996,"base":2},"right_expr":{"type":"numeric_atoms","value":2195,"base":2}}}}},"used_operators":["u7fv1HBiaC","dfKe02y8D2","6Ko8hGgeMq","V0kx6qeWkN","LRNGc0VcxI","Z57zeUYC9z","OXDGMFPWZM","jCPkEVoL5K"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","X99M06cbEe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"≮⫘↔-1110110110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4140","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=4140, right_input=2024, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=3403","layer":4},{"info":"number node, value=5870","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=5870, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=4058","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=4058, right_input=2385, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2996","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=2996, right_input=2195, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-950","layer":0}],"base":2,"result_base":2,"text":"⩦⊞((≮⫘↔1000000101100≳⇉≮⫘↔11111101000)⫒⫫≮⫘↔110101001011∀⇚≩≮⫘↔1011011101110⫚↹⊑(≮⫘↔111111011010⊍⩺⋍≮⫘↔100101010001)⨔≚≋≮⫘↔101110110100⇻⋧≁≮⫘↔100010010011)=≮⫘↔-1110110110","reverse_text":"≮⫘↔-1110110110=⩦⊞((≮⫘↔1000000101100≳⇉≮⫘↔11111101000)⫒⫫≮⫘↔110101001011∀⇚≩≮⫘↔1011011101110⫚↹⊑(≮⫘↔111111011010⊍⩺⋍≮⫘↔100101010001)⨔≚≋≮⫘↔101110110100⇻⋧≁≮⫘↔100010010011)","cot":[{"info":"≮⫘↔1000000101100≳⇉≮⫘↔11111101000=NaN","layer":3},{"info":"≮⫘↔110101001011∀⇚≩≮⫘↔1011011101110=NaN","layer":3},{"info":"NaN⫒⫫NaN=NaN","layer":2},{"info":"≮⫘↔111111011010⊍⩺⋍≮⫘↔100101010001=NaN","layer":3},{"info":"≮⫘↔101110110100⇻⋧≁≮⫘↔100010010011=≮⫘↔-110111111","layer":3},{"info":"NaN⨔≚≋≮⫘↔-110111111=NaN","layer":2},{"info":"NaN⫚↹⊑NaN=≮⫘↔-110111111","layer":1},{"info":"⩦⊞≮⫘↔-110111111=≮⫘↔-1110110110","layer":0}]}
{"id":562,"expression_no_base_symbol":"(($1371$⫯⪬∳$3682$⩷∴$1068$∣$2009$)∌↝($1989$⩁⩘$2941$⋳⪒(⊊≼∋$4688$)))⨿($4921$↤⩊$5516$∀⇚≩($8962$∠⫱$1068$)⨽(⪹$2684$)⋥⋵⩄($1028$⨚$8083$))","expression":"((≮⫘↔10101011011⫯⪬∳≮⫘↔111001100010⩷∴≮⫘↔10000101100∣≮⫘↔11111011001)∌↝(≮⫘↔11111000101⩁⩘≮⫘↔101101111101⋳⪒(⊊≼∋≮⫘↔1001001010000)))⨿(≮⫘↔1001100111001↤⩊≮⫘↔1010110001100∀⇚≩(≮⫘↔10001100000010∠⫱≮⫘↔10000101100)⨽(⪹≮⫘↔101001111100)⋥⋵⩄(≮⫘↔10000000100⨚≮⫘↔1111110010011))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5261,"operation_count":15,"complexity_ratio":350.73333333333335,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1371,"base":2},"right_expr":{"type":"numeric_atoms","value":3682,"base":2}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1068,"base":2},"right_expr":{"type":"numeric_atoms","value":2009,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1989,"base":2},"right_expr":{"type":"numeric_atoms","value":2941,"base":2}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":4688,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4921,"base":2},"right_expr":{"type":"numeric_atoms","value":5516,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":8962,"base":2},"right_expr":{"type":"numeric_atoms","value":1068,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2684,"base":2}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1028,"base":2},"right_expr":{"type":"numeric_atoms","value":8083,"base":2}}}}},"used_operators":["abYXlopdE0","9Isq31Ruls","9FxExcQeMw","d7ASUq0ydm","PPChnnnBFF","12rbrZMWeM","gub5Cegaqo","FWz7pXsQhA","8HhzD0ZcuI","LRNGc0VcxI","13rbtpv6ld","QvoQhV0rrE","7t3wd0Fuz7","USyYr0JgAa","nREPSIbpBE"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","jCPkEVoL5K","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","tifHPKVTfV","BjRHVeLaeN","12rbrZMWeM"],"result":"≮⫘↔1111001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1371","layer":4},{"info":"number node, value=3682","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=3682, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3206","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=2009, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1068","layer":3},{"info":"compute binary expreesion, left_input=3206, right_input=1068, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4244","layer":2},{"info":"number node, value=1989","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=2941, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=12712","layer":3},{"info":"number node, value=4688","layer":4},{"info":"compute unary expreesion, input=4688, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=12712, right_input=-447, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=25584","layer":2},{"info":"compute binary expreesion, left_input=4244, right_input=25584, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=4921","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=4921, right_input=5516, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=8962","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=8962, right_input=1068, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2684","layer":4},{"info":"compute unary expreesion, input=2684, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2504","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=8083","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=8083, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-29342","layer":3},{"info":"compute binary expreesion, left_input=-2504, right_input=-29342, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=296884","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=296884, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101011011⫯⪬∳≮⫘↔111001100010⩷∴≮⫘↔10000101100∣≮⫘↔11111011001)∌↝(≮⫘↔11111000101⩁⩘≮⫘↔101101111101⋳⪒(⊊≼∋≮⫘↔1001001010000)))⨿(≮⫘↔1001100111001↤⩊≮⫘↔1010110001100∀⇚≩(≮⫘↔10001100000010∠⫱≮⫘↔10000101100)⨽(⪹≮⫘↔101001111100)⋥⋵⩄(≮⫘↔10000000100⨚≮⫘↔1111110010011))=≮⫘↔1111001","reverse_text":"≮⫘↔1111001=((≮⫘↔10101011011⫯⪬∳≮⫘↔111001100010⩷∴≮⫘↔10000101100∣≮⫘↔11111011001)∌↝(≮⫘↔11111000101⩁⩘≮⫘↔101101111101⋳⪒(⊊≼∋≮⫘↔1001001010000)))⨿(≮⫘↔1001100111001↤⩊≮⫘↔1010110001100∀⇚≩(≮⫘↔10001100000010∠⫱≮⫘↔10000101100)⨽(⪹≮⫘↔101001111100)⋥⋵⩄(≮⫘↔10000000100⨚≮⫘↔1111110010011))","cot":[{"info":"≮⫘↔10101011011⫯⪬∳≮⫘↔111001100010=≮⫘↔110010000110","layer":3},{"info":"≮⫘↔10000101100∣≮⫘↔11111011001=≮⫘↔10000101100","layer":3},{"info":"≮⫘↔110010000110⩷∴≮⫘↔10000101100=≮⫘↔1000010010100","layer":2},{"info":"≮⫘↔11111000101⩁⩘≮⫘↔101101111101=≮⫘↔11000110101000","layer":3},{"info":"⊊≼∋≮⫘↔1001001010000=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔11000110101000⋳⪒≮⫘↔-110111111=≮⫘↔110001111110000","layer":2},{"info":"≮⫘↔1000010010100∌↝≮⫘↔110001111110000=≮⫘↔0","layer":1},{"info":"≮⫘↔1001100111001↤⩊≮⫘↔1010110001100=NaN","layer":3},{"info":"≮⫘↔10001100000010∠⫱≮⫘↔10000101100=≮⫘↔10011010010","layer":3},{"info":"NaN∀⇚≩≮⫘↔10011010010=NaN","layer":2},{"info":"⪹≮⫘↔101001111100=≮⫘↔-100111001000","layer":3},{"info":"≮⫘↔10000000100⨚≮⫘↔1111110010011=≮⫘↔-111001010011110","layer":3},{"info":"≮⫘↔-100111001000⋥⋵⩄≮⫘↔-111001010011110=≮⫘↔1001000011110110100","layer":2},{"info":"NaN⨽≮⫘↔1001000011110110100=NaN","layer":1},{"info":"≮⫘↔0⨿NaN=≮⫘↔1111001","layer":0}]}
{"id":563,"expression_no_base_symbol":"((($3994$⫳≱↱$2468$)+⇶⊼$1324$⨂≜$1285$)≝⊰⇂)+⪬∐(($1273$⫩)∠⫱$1495$∥⊢⊲$2594$)↓($4431$⨑⩅≇$1400$↬($2653$*$1661$))","expression":"(((≮⫘↔111110011010⫳≱↱≮⫘↔100110100100)+⇶⊼≮⫘↔10100101100⨂≜≮⫘↔10100000101)≝⊰⇂)+⪬∐((≮⫘↔10011111001⫩)∠⫱≮⫘↔10111010111∥⊢⊲≮⫘↔101000100010)↓(≮⫘↔1000101001111⨑⩅≇≮⫘↔10101111000↬(≮⫘↔101001011101*≮⫘↔11001111101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7258,"operation_count":12,"complexity_ratio":604.8333333333334,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3994,"base":2},"right_expr":{"type":"numeric_atoms","value":2468,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1324,"base":2},"right_expr":{"type":"numeric_atoms","value":1285,"base":2}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1273,"base":2}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1495,"base":2},"right_expr":{"type":"numeric_atoms","value":2594,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4431,"base":2},"right_expr":{"type":"numeric_atoms","value":1400,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2653,"base":2},"right_expr":{"type":"numeric_atoms","value":1661,"base":2}}}}},"used_operators":["2GS7woTJqF","htSmYCowi5","TpPTUOHfaN","ZvLB05nZmT","k1SHOSEABc","Af076pWI7l","QvoQhV0rrE","6aG7x05OhS","v1UQAVDJRr","B5M0gjZbta","h92wMvzauj","9HNa5Wba9A"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","DlLNRPXxWL","AHs5Up7iyr","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","dWAJyo7jo9","EBcxylXtPf","rGHVDoGpnC","rGHVDoGpnC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3994","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=2468, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=1285, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=nan","layer":1},{"info":"number node, value=1273","layer":4},{"info":"compute unary expreesion, input=1273, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=2594, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=4431","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=4431, right_input=1400, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-13293","layer":3},{"info":"number node, value=2653","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=2653, right_input=1661, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4406633","layer":3},{"info":"compute binary expreesion, left_input=-13293, right_input=4406633, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔111110011010⫳≱↱≮⫘↔100110100100)+⇶⊼≮⫘↔10100101100⨂≜≮⫘↔10100000101)≝⊰⇂)+⪬∐((≮⫘↔10011111001⫩)∠⫱≮⫘↔10111010111∥⊢⊲≮⫘↔101000100010)↓(≮⫘↔1000101001111⨑⩅≇≮⫘↔10101111000↬(≮⫘↔101001011101*≮⫘↔11001111101))=NaN","reverse_text":"NaN=(((≮⫘↔111110011010⫳≱↱≮⫘↔100110100100)+⇶⊼≮⫘↔10100101100⨂≜≮⫘↔10100000101)≝⊰⇂)+⪬∐((≮⫘↔10011111001⫩)∠⫱≮⫘↔10111010111∥⊢⊲≮⫘↔101000100010)↓(≮⫘↔1000101001111⨑⩅≇≮⫘↔10101111000↬(≮⫘↔101001011101*≮⫘↔11001111101))","cot":[{"info":"≮⫘↔111110011010⫳≱↱≮⫘↔100110100100=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔10100101100⨂≜≮⫘↔10100000101=NaN","layer":3},{"info":"≮⫘↔-11001100+⇶⊼NaN=NaN","layer":2},{"info":"NaN≝⊰⇂=NaN","layer":1},{"info":"≮⫘↔10011111001⫩=NaN","layer":3},{"info":"≮⫘↔10111010111∥⊢⊲≮⫘↔101000100010=NaN","layer":3},{"info":"NaN∠⫱NaN=NaN","layer":2},{"info":"≮⫘↔1000101001111⨑⩅≇≮⫘↔10101111000=≮⫘↔-11001111101101","layer":3},{"info":"≮⫘↔101001011101*≮⫘↔11001111101=≮⫘↔10000110011110101101001","layer":3},{"info":"≮⫘↔-11001111101101↬≮⫘↔10000110011110101101001=NaN","layer":2},{"info":"NaN↓NaN=≮⫘↔-10000110","layer":1},{"info":"NaN+⪬∐≮⫘↔-10000110=NaN","layer":0}]}
{"id":564,"expression_no_base_symbol":"($3867$∊∟⩊$4167$⊎←↗)≎⪠(($2908$∝$1844$)⨝⩣∺)≓∲($3062$∋$1696$⫰⋱(↓⇌$7080$))⫞⩸⩒((⊲⪭$4266$)⨥⫆($1854$⇷$3583$))","expression":"(≮⫘↔111100011011∊∟⩊≮⫘↔1000001000111⊎←↗)≎⪠((≮⫘↔101101011100∝≮⫘↔11100110100)⨝⩣∺)≓∲(≮⫘↔101111110110∋≮⫘↔11010100000⫰⋱(↓⇌≮⫘↔1101110101000))⫞⩸⩒((⊲⪭≮⫘↔1000010101010)⨥⫆(≮⫘↔11100111110⇷≮⫘↔110111111111))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":45262,"operation_count":13,"complexity_ratio":3481.6923076923076,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3867,"base":2},"right_expr":{"type":"numeric_atoms","value":4167,"base":2}}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2908,"base":2},"right_expr":{"type":"numeric_atoms","value":1844,"base":2}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3062,"base":2},"right_expr":{"type":"numeric_atoms","value":1696,"base":2}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":7080,"base":2}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":4266,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1854,"base":2},"right_expr":{"type":"numeric_atoms","value":3583,"base":2}}}}},"used_operators":["s1XTVnmDOJ","aNhz54LH3e","dwb5p0fa6d","ddLRYrp01A","ancx8kZcWl","cTDWOvIxvz","XGcMNugi78","6o9Blt3TJ6","ukq6epAj5P","PxpmPgHHJV","yXekIHxTD4","k7HXdKtiEU","mp7IySMOzn"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","sdazOOVcIp","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DZ8iAZOCBD","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","i8ToyICDmI","xUOZtlo3hN","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔110011010011011001100000101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3867","layer":4},{"info":"number node, value=4167","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=4167, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4167","layer":3},{"info":"compute unary expreesion, input=4167, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-7649","layer":2},{"info":"number node, value=2908","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=1844, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2913","layer":3},{"info":"compute unary expreesion, input=2913, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-5826","layer":2},{"info":"compute binary expreesion, left_input=-7649, right_input=-5826, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=3062","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=1696, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3619664","layer":3},{"info":"number node, value=7080","layer":4},{"info":"compute unary expreesion, input=7080, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=7080","layer":3},{"info":"compute binary expreesion, left_input=3619664, right_input=7080, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3619631","layer":2},{"info":"number node, value=4266","layer":4},{"info":"compute unary expreesion, input=4266, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4440","layer":3},{"info":"number node, value=1854","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=3583, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7166","layer":3},{"info":"compute binary expreesion, left_input=-4440, right_input=7166, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3619631, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-3619631","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=-3619631, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=107590405","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111100011011∊∟⩊≮⫘↔1000001000111⊎←↗)≎⪠((≮⫘↔101101011100∝≮⫘↔11100110100)⨝⩣∺)≓∲(≮⫘↔101111110110∋≮⫘↔11010100000⫰⋱(↓⇌≮⫘↔1101110101000))⫞⩸⩒((⊲⪭≮⫘↔1000010101010)⨥⫆(≮⫘↔11100111110⇷≮⫘↔110111111111))=≮⫘↔110011010011011001100000101","reverse_text":"≮⫘↔110011010011011001100000101=(≮⫘↔111100011011∊∟⩊≮⫘↔1000001000111⊎←↗)≎⪠((≮⫘↔101101011100∝≮⫘↔11100110100)⨝⩣∺)≓∲(≮⫘↔101111110110∋≮⫘↔11010100000⫰⋱(↓⇌≮⫘↔1101110101000))⫞⩸⩒((⊲⪭≮⫘↔1000010101010)⨥⫆(≮⫘↔11100111110⇷≮⫘↔110111111111))","cot":[{"info":"≮⫘↔111100011011∊∟⩊≮⫘↔1000001000111=≮⫘↔1000001000111","layer":3},{"info":"≮⫘↔1000001000111⊎←↗=≮⫘↔-1110111100001","layer":2},{"info":"≮⫘↔101101011100∝≮⫘↔11100110100=≮⫘↔101101100001","layer":3},{"info":"≮⫘↔101101100001⨝⩣∺=≮⫘↔-1011011000010","layer":2},{"info":"≮⫘↔-1110111100001≎⪠≮⫘↔-1011011000010=≮⫘↔100110001100110","layer":1},{"info":"≮⫘↔101111110110∋≮⫘↔11010100000=≮⫘↔1101110011101101010000","layer":3},{"info":"↓⇌≮⫘↔1101110101000=≮⫘↔1101110101000","layer":3},{"info":"≮⫘↔1101110011101101010000⫰⋱≮⫘↔1101110101000=≮⫘↔-1101110011101100101111","layer":2},{"info":"⊲⪭≮⫘↔1000010101010=≮⫘↔-1000101011000","layer":3},{"info":"≮⫘↔11100111110⇷≮⫘↔110111111111=≮⫘↔1101111111110","layer":3},{"info":"≮⫘↔-1000101011000⨥⫆≮⫘↔1101111111110=≮⫘↔0","layer":2},{"info":"≮⫘↔-1101110011101100101111⫞⩸⩒≮⫘↔0=≮⫘↔-1101110011101100101111","layer":1},{"info":"≮⫘↔100110001100110≓∲≮⫘↔-1101110011101100101111=≮⫘↔110011010011011001100000101","layer":0}]}
{"id":565,"expression_no_base_symbol":"(⪓⩚($2294$⩧⪆$1883$))⫒⫫(($1450$+$2402$)⋥≓≎$2875$⩖⊿$1184$)∝(($2146$⪔$1725$)⪪(∤↝$1032$))⊕∕(($2034$⋅⇍$2275$)⩁⩘($2119$⪘⫢$2357$))","expression":"(⪓⩚(≮⫘↔100011110110⩧⪆≮⫘↔11101011011))⫒⫫((≮⫘↔10110101010+≮⫘↔100101100010)⋥≓≎≮⫘↔101100111011⩖⊿≮⫘↔10010100000)∝((≮⫘↔100001100010⪔≮⫘↔11010111101)⪪(∤↝≮⫘↔10000001000))⊕∕((≮⫘↔11111110010⋅⇍≮⫘↔100011100011)⩁⩘(≮⫘↔100001000111⪘⫢≮⫘↔100100110101))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":201357,"operation_count":14,"complexity_ratio":14382.642857142857,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2294,"base":2},"right_expr":{"type":"numeric_atoms","value":1883,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1450,"base":2},"right_expr":{"type":"numeric_atoms","value":2402,"base":2}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2875,"base":2},"right_expr":{"type":"numeric_atoms","value":1184,"base":2}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2146,"base":2},"right_expr":{"type":"numeric_atoms","value":1725,"base":2}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1032,"base":2}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2034,"base":2},"right_expr":{"type":"numeric_atoms","value":2275,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2119,"base":2},"right_expr":{"type":"numeric_atoms","value":2357,"base":2}}}}},"used_operators":["cTDWOvIxvz","6Ko8hGgeMq","u0R0Locfp2","Ikt5ks8PT7","Qy55tPpLXF","W4YGzv6Whe","RZ5CV9rWsJ","9cloC0Ngie","xD69zh8xqp","GjBEYRfMaF","3UMq87Qwqg","gub5Cegaqo","AdZkA7nFnk","oacrs7FA3X"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","FU0Cs4j7VP","JclMnS0uGI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","DpFCA1CohY","IWmyXbctLI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2294","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1883, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1883","layer":3},{"info":"compute unary expreesion, input=-1883, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=1450","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=2402, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3852","layer":3},{"info":"number node, value=2875","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=1184, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2110","layer":3},{"info":"compute binary expreesion, left_input=3852, right_input=-2110, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-8039","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=-8039, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=2146","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=1725, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1032","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=1032, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-64039","layer":2},{"info":"number node, value=2034","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=2275, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=2357, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4114","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=4114, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17404","layer":2},{"info":"compute binary expreesion, left_input=-64039, right_input=17404, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-64039","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-64039, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪓⩚(≮⫘↔100011110110⩧⪆≮⫘↔11101011011))⫒⫫((≮⫘↔10110101010+≮⫘↔100101100010)⋥≓≎≮⫘↔101100111011⩖⊿≮⫘↔10010100000)∝((≮⫘↔100001100010⪔≮⫘↔11010111101)⪪(∤↝≮⫘↔10000001000))⊕∕((≮⫘↔11111110010⋅⇍≮⫘↔100011100011)⩁⩘(≮⫘↔100001000111⪘⫢≮⫘↔100100110101))=NaN","reverse_text":"NaN=(⪓⩚(≮⫘↔100011110110⩧⪆≮⫘↔11101011011))⫒⫫((≮⫘↔10110101010+≮⫘↔100101100010)⋥≓≎≮⫘↔101100111011⩖⊿≮⫘↔10010100000)∝((≮⫘↔100001100010⪔≮⫘↔11010111101)⪪(∤↝≮⫘↔10000001000))⊕∕((≮⫘↔11111110010⋅⇍≮⫘↔100011100011)⩁⩘(≮⫘↔100001000111⪘⫢≮⫘↔100100110101))","cot":[{"info":"≮⫘↔100011110110⩧⪆≮⫘↔11101011011=≮⫘↔-11101011011","layer":3},{"info":"⪓⩚≮⫘↔-11101011011=≮⫘↔110101010","layer":2},{"info":"≮⫘↔10110101010+≮⫘↔100101100010=≮⫘↔111100001100","layer":3},{"info":"≮⫘↔101100111011⩖⊿≮⫘↔10010100000=≮⫘↔-100000111110","layer":3},{"info":"≮⫘↔111100001100⋥≓≎≮⫘↔-100000111110=≮⫘↔-1111101100111","layer":2},{"info":"≮⫘↔110101010⫒⫫≮⫘↔-1111101100111=NaN","layer":1},{"info":"≮⫘↔100001100010⪔≮⫘↔11010111101=≮⫘↔111000010","layer":3},{"info":"∤↝≮⫘↔10000001000=≮⫘↔10000001000","layer":3},{"info":"≮⫘↔111000010⪪≮⫘↔10000001000=≮⫘↔-1111101000100111","layer":2},{"info":"≮⫘↔11111110010⋅⇍≮⫘↔100011100011=≮⫘↔-10110","layer":3},{"info":"≮⫘↔100001000111⪘⫢≮⫘↔100100110101=≮⫘↔1000000010010","layer":3},{"info":"≮⫘↔-10110⩁⩘≮⫘↔1000000010010=≮⫘↔100001111111100","layer":2},{"info":"≮⫘↔-1111101000100111⊕∕≮⫘↔100001111111100=≮⫘↔-1111101000100111","layer":1},{"info":"NaN∝≮⫘↔-1111101000100111=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"(⋎⨆$1180$)⪎↠($2062$⪎⩰)≭($6175$⋹⋡⊁$2985$)↞⋁($2370$↺$3602$)≎⊠⪸($7562$⨪↰⇹$5051$⨔≚≋(⨑⩽⪐$2006$))⪍↜⋙(∮(⇈$2774$))","expression":"(⋎⨆≮⫘↔10010011100)⪎↠(≮⫘↔100000001110⪎⩰)≭(≮⫘↔1100000011111⋹⋡⊁≮⫘↔101110101001)↞⋁(≮⫘↔100101000010↺≮⫘↔111000010010)≎⊠⪸(≮⫘↔1110110001010⨪↰⇹≮⫘↔1001110111011⨔≚≋(⨑⩽⪐≮⫘↔11111010110))⪍↜⋙(∮(⇈≮⫘↔101011010110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":71910,"operation_count":14,"complexity_ratio":5136.428571428572,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1180,"base":2}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":2062,"base":2}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6175,"base":2},"right_expr":{"type":"numeric_atoms","value":2985,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2370,"base":2},"right_expr":{"type":"numeric_atoms","value":3602,"base":2}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7562,"base":2},"right_expr":{"type":"numeric_atoms","value":5051,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2006,"base":2}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2774,"base":2}}}}},"used_operators":["bJkvcejdHO","rxpJgHHUmx","3tVxb0NHM4","E64sFOc4tB","2ufhKmSs5H","RqrPlJkxDo","As8RqfVLgs","7j4O788W3g","L05ObWFQCd","Z57zeUYC9z","tmPS8pqC7x","AF7qkfDlqP","CqXKPLVYql","SLLxy00UIr"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-34, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":2},{"info":"number node, value=6175","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=6175, right_input=2985, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3735","layer":3},{"info":"number node, value=2370","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=3602, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3602","layer":3},{"info":"compute binary expreesion, left_input=3735, right_input=3602, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=7562","layer":4},{"info":"number node, value=5051","layer":4},{"info":"compute binary expreesion, left_input=7562, right_input=5051, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7562","layer":3},{"info":"number node, value=2006","layer":4},{"info":"compute unary expreesion, input=2006, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1733","layer":3},{"info":"compute binary expreesion, left_input=7562, right_input=-1733, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=2774","layer":4},{"info":"compute unary expreesion, input=2774, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238583","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=-238583, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=496910","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=496910, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋎⨆≮⫘↔10010011100)⪎↠(≮⫘↔100000001110⪎⩰)≭(≮⫘↔1100000011111⋹⋡⊁≮⫘↔101110101001)↞⋁(≮⫘↔100101000010↺≮⫘↔111000010010)≎⊠⪸(≮⫘↔1110110001010⨪↰⇹≮⫘↔1001110111011⨔≚≋(⨑⩽⪐≮⫘↔11111010110))⪍↜⋙(∮(⇈≮⫘↔101011010110))=NaN","reverse_text":"NaN=(⋎⨆≮⫘↔10010011100)⪎↠(≮⫘↔100000001110⪎⩰)≭(≮⫘↔1100000011111⋹⋡⊁≮⫘↔101110101001)↞⋁(≮⫘↔100101000010↺≮⫘↔111000010010)≎⊠⪸(≮⫘↔1110110001010⨪↰⇹≮⫘↔1001110111011⨔≚≋(⨑⩽⪐≮⫘↔11111010110))⪍↜⋙(∮(⇈≮⫘↔101011010110))","cot":[{"info":"⋎⨆≮⫘↔10010011100=≮⫘↔0","layer":3},{"info":"≮⫘↔100000001110⪎⩰=≮⫘↔-100010","layer":3},{"info":"≮⫘↔0⪎↠≮⫘↔-100010=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔1100000011111⋹⋡⊁≮⫘↔101110101001=≮⫘↔111010010111","layer":3},{"info":"≮⫘↔100101000010↺≮⫘↔111000010010=≮⫘↔111000010010","layer":3},{"info":"≮⫘↔111010010111↞⋁≮⫘↔111000010010=NaN","layer":2},{"info":"≮⫘↔1101100100≭NaN=NaN","layer":1},{"info":"≮⫘↔1110110001010⨪↰⇹≮⫘↔1001110111011=≮⫘↔1110110001010","layer":3},{"info":"⨑⩽⪐≮⫘↔11111010110=≮⫘↔-11011000101","layer":3},{"info":"≮⫘↔1110110001010⨔≚≋≮⫘↔-11011000101=≮⫘↔10011010010000","layer":2},{"info":"⇈≮⫘↔101011010110=≮⫘↔-110111111","layer":3},{"info":"∮≮⫘↔-110111111=≮⫘↔-111010001111110111","layer":2},{"info":"≮⫘↔10011010010000⪍↜⋙≮⫘↔-111010001111110111=≮⫘↔1111001010100001110","layer":1},{"info":"NaN≎⊠⪸≮⫘↔1111001010100001110=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"($1065$⨜⨶$3333$)⨑⩅≇($1440$⪷)≭($6514$⨟⋌⩍$1084$⊹∫⫚($1864$⨎$2940$))∝((($3078$⋓$3694$)⩦($1769$⪃↞⩐))⫠)","expression":"(≮⫘↔10000101001⨜⨶≮⫘↔110100000101)⨑⩅≇(≮⫘↔10110100000⪷)≭(≮⫘↔1100101110010⨟⋌⩍≮⫘↔10000111100⊹∫⫚(≮⫘↔11101001000⨎≮⫘↔101101111100))∝(((≮⫘↔110000000110⋓≮⫘↔111001101110)⩦(≮⫘↔11011101001⪃↞⩐))⫠)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2398,"operation_count":12,"complexity_ratio":199.83333333333334,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1065,"base":2},"right_expr":{"type":"numeric_atoms","value":3333,"base":2}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1440,"base":2}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6514,"base":2},"right_expr":{"type":"numeric_atoms","value":1084,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1864,"base":2},"right_expr":{"type":"numeric_atoms","value":2940,"base":2}}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3078,"base":2},"right_expr":{"type":"numeric_atoms","value":3694,"base":2}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1769,"base":2}}}}},"used_operators":["cTDWOvIxvz","rxpJgHHUmx","h92wMvzauj","HiPekx5b7W","Qctrpi3WzA","uWAJUKEvyW","rGHVDoGpnC","rJVOvQCfKK","6SnOT2rOjz","0kmYd0q39Y","T2fj7uvVaJ","grXIztHqDa"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","AHs5Up7iyr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Nsiff2A1zJ","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=3333, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6410","layer":3},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6410, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"number node, value=6514","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=6514, right_input=1084, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1864","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=2940, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2940","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2940, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-120","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=-120, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3078","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=3694, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1769","layer":4},{"info":"compute unary expreesion, input=1769, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=10920","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10920, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000101001⨜⨶≮⫘↔110100000101)⨑⩅≇(≮⫘↔10110100000⪷)≭(≮⫘↔1100101110010⨟⋌⩍≮⫘↔10000111100⊹∫⫚(≮⫘↔11101001000⨎≮⫘↔101101111100))∝(((≮⫘↔110000000110⋓≮⫘↔111001101110)⩦(≮⫘↔11011101001⪃↞⩐))⫠)=NaN","reverse_text":"NaN=(≮⫘↔10000101001⨜⨶≮⫘↔110100000101)⨑⩅≇(≮⫘↔10110100000⪷)≭(≮⫘↔1100101110010⨟⋌⩍≮⫘↔10000111100⊹∫⫚(≮⫘↔11101001000⨎≮⫘↔101101111100))∝(((≮⫘↔110000000110⋓≮⫘↔111001101110)⩦(≮⫘↔11011101001⪃↞⩐))⫠)","cot":[{"info":"≮⫘↔10000101001⨜⨶≮⫘↔110100000101=≮⫘↔-1100100001010","layer":3},{"info":"≮⫘↔10110100000⪷=NaN","layer":3},{"info":"≮⫘↔-1100100001010⨑⩅≇NaN=≮⫘↔1110100111","layer":2},{"info":"≮⫘↔1100101110010⨟⋌⩍≮⫘↔10000111100=NaN","layer":3},{"info":"≮⫘↔11101001000⨎≮⫘↔101101111100=≮⫘↔101101111100","layer":3},{"info":"NaN⊹∫⫚≮⫘↔101101111100=≮⫘↔-1111000","layer":2},{"info":"≮⫘↔1110100111≭≮⫘↔-1111000=NaN","layer":1},{"info":"≮⫘↔110000000110⋓≮⫘↔111001101110=≮⫘↔0","layer":3},{"info":"≮⫘↔11011101001⪃↞⩐=≮⫘↔10101010101000","layer":3},{"info":"≮⫘↔0⩦≮⫘↔10101010101000=≮⫘↔0","layer":2},{"info":"≮⫘↔0⫠=≮⫘↔0","layer":1},{"info":"NaN∝≮⫘↔0=NaN","layer":0}]}
{"id":568,"expression_no_base_symbol":"((⨞⊢$4199$)⋣⋖$2855$∌$6163$)∛($1317$∓⋝$1570$⇼⇔∾(≱⇩⩕$5727$))⪨≂($3833$⊍⩺⋍$2330$)≴⪞⇿($5264$≁$1866$)⫁⪎($3288$⩍⋽⫝̸$1009$)↢($2468$⨎$3039$)","expression":"((⨞⊢≮⫘↔1000001100111)⋣⋖≮⫘↔101100100111∌≮⫘↔1100000010011)∛(≮⫘↔10100100101∓⋝≮⫘↔11000100010⇼⇔∾(≱⇩⩕≮⫘↔1011001011111))⪨≂(≮⫘↔111011111001⊍⩺⋍≮⫘↔100100011010)≴⪞⇿(≮⫘↔1010010010000≁≮⫘↔11101001010)⫁⪎(≮⫘↔110011011000⩍⋽⫝̸≮⫘↔1111110001)↢(≮⫘↔100110100100⨎≮⫘↔101111011111)","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":3875,"operation_count":15,"complexity_ratio":258.3333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4199,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2855,"base":2},"right_expr":{"type":"numeric_atoms","value":6163,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1317,"base":2},"right_expr":{"type":"numeric_atoms","value":1570,"base":2}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":5727,"base":2}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3833,"base":2},"right_expr":{"type":"numeric_atoms","value":2330,"base":2}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5264,"base":2},"right_expr":{"type":"numeric_atoms","value":1866,"base":2}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3288,"base":2},"right_expr":{"type":"numeric_atoms","value":1009,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2468,"base":2},"right_expr":{"type":"numeric_atoms","value":3039,"base":2}}}}},"used_operators":["sdazOOVcIp","w2537kitQq","J0M6qkBnIM","xUOZtlo3hN","8cLx32lpNA","tifHPKVTfV","PoHhknlbAi","3DZMoQKiUl","xRrnTEsQ6j","lvlrscuwVU","OXDGMFPWZM","8N2wDY1A35","WR6HLWljOP","BiWNJpBvwn","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4199","layer":4},{"info":"compute unary expreesion, input=4199, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4373","layer":3},{"info":"number node, value=2855","layer":4},{"info":"number node, value=6163","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=6163, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6163","layer":3},{"info":"compute binary expreesion, left_input=-4373, right_input=-6163, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1570, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=5727","layer":4},{"info":"compute unary expreesion, input=5727, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=113, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=46","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=46, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=3833","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=2330, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=5264","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=5264, right_input=1866, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=31583","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=31583, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=3288","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=3288, right_input=1009, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=63","layer":3},{"info":"number node, value=2468","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=3039, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3039","layer":3},{"info":"compute binary expreesion, left_input=63, right_input=3039, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-484, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨞⊢≮⫘↔1000001100111)⋣⋖≮⫘↔101100100111∌≮⫘↔1100000010011)∛(≮⫘↔10100100101∓⋝≮⫘↔11000100010⇼⇔∾(≱⇩⩕≮⫘↔1011001011111))⪨≂(≮⫘↔111011111001⊍⩺⋍≮⫘↔100100011010)≴⪞⇿(≮⫘↔1010010010000≁≮⫘↔11101001010)⫁⪎(≮⫘↔110011011000⩍⋽⫝̸≮⫘↔1111110001)↢(≮⫘↔100110100100⨎≮⫘↔101111011111)=NaN","reverse_text":"NaN=((⨞⊢≮⫘↔1000001100111)⋣⋖≮⫘↔101100100111∌≮⫘↔1100000010011)∛(≮⫘↔10100100101∓⋝≮⫘↔11000100010⇼⇔∾(≱⇩⩕≮⫘↔1011001011111))⪨≂(≮⫘↔111011111001⊍⩺⋍≮⫘↔100100011010)≴⪞⇿(≮⫘↔1010010010000≁≮⫘↔11101001010)⫁⪎(≮⫘↔110011011000⩍⋽⫝̸≮⫘↔1111110001)↢(≮⫘↔100110100100⨎≮⫘↔101111011111)","cot":[{"info":"⨞⊢≮⫘↔1000001100111=≮⫘↔-1000100010101","layer":3},{"info":"≮⫘↔101100100111∌≮⫘↔1100000010011=≮⫘↔-1100000010011","layer":3},{"info":"≮⫘↔-1000100010101⋣⋖≮⫘↔-1100000010011=≮⫘↔-1000001111","layer":2},{"info":"≮⫘↔10100100101∓⋝≮⫘↔11000100010=≮⫘↔1000011","layer":3},{"info":"≱⇩⩕≮⫘↔1011001011111=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1000011⇼⇔∾≮⫘↔1110001=≮⫘↔101110","layer":2},{"info":"≮⫘↔-1000001111∛≮⫘↔101110=≮⫘↔1000011","layer":1},{"info":"≮⫘↔111011111001⊍⩺⋍≮⫘↔100100011010=NaN","layer":3},{"info":"≮⫘↔1010010010000≁≮⫘↔11101001010=≮⫘↔111101101011111","layer":3},{"info":"NaN≴⪞⇿≮⫘↔111101101011111=NaN","layer":2},{"info":"≮⫘↔110011011000⩍⋽⫝̸≮⫘↔1111110001=≮⫘↔111111","layer":3},{"info":"≮⫘↔100110100100⨎≮⫘↔101111011111=≮⫘↔101111011111","layer":3},{"info":"≮⫘↔111111↢≮⫘↔101111011111=≮⫘↔-111100100","layer":2},{"info":"NaN⫁⪎≮⫘↔-111100100=NaN","layer":1},{"info":"≮⫘↔1000011⪨≂NaN=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"($7152$⇴$5927$⫲≸⪮$3182$⨓$1402$∲⫓($1414$⋘⨑⨽)⊍⩺⋍$1196$⊬⨰$3899$)≃((($7206$⫚↹⊑$3356$)∲⫓$1341$⪒$2634$)⫥∨⫟(($2672$⊭∹↮)⫃⨇$1895$⋥≓≎$2753$))","expression":"(≮⫘↔1101111110000⇴≮⫘↔1011100100111⫲≸⪮≮⫘↔110001101110⨓≮⫘↔10101111010∲⫓(≮⫘↔10110000110⋘⨑⨽)⊍⩺⋍≮⫘↔10010101100⊬⨰≮⫘↔111100111011)≃(((≮⫘↔1110000100110⫚↹⊑≮⫘↔110100011100)∲⫓≮⫘↔10100111101⪒≮⫘↔101001001010)⫥∨⫟((≮⫘↔101001110000⊭∹↮)⫃⨇≮⫘↔11101100111⋥≓≎≮⫘↔101011000001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":56248,"operation_count":15,"complexity_ratio":3749.866666666667,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":7152,"base":2},"right_expr":{"type":"numeric_atoms","value":5927,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3182,"base":2},"right_expr":{"type":"numeric_atoms","value":1402,"base":2}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":1414,"base":2}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1196,"base":2},"right_expr":{"type":"numeric_atoms","value":3899,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":7206,"base":2},"right_expr":{"type":"numeric_atoms","value":3356,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1341,"base":2},"right_expr":{"type":"numeric_atoms","value":2634,"base":2}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2672,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1895,"base":2},"right_expr":{"type":"numeric_atoms","value":2753,"base":2}}}}},"used_operators":["YbVcJGFEVW","i8ToyICDmI","P3lXMJvFrc","4JB6nKBMSY","3ViojmjbAp","OXDGMFPWZM","WmT3o8z6ya","s3Fd5m9Dh2","KYD54nUTWz","dfKe02y8D2","f6k1SAg4EE","09Ly4LVMIf","xNBdhnnwKq","Qy55tPpLXF"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sdazOOVcIp","NTOWxs364D","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","8HhzD0ZcuI","rGHVDoGpnC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7152","layer":4},{"info":"number node, value=5927","layer":4},{"info":"compute binary expreesion, left_input=7152, right_input=5927, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=54380","layer":3},{"info":"number node, value=3182","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=3182, right_input=1402, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1405","layer":3},{"info":"compute binary expreesion, left_input=54380, right_input=-1405, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=54380","layer":2},{"info":"number node, value=1414","layer":4},{"info":"compute unary expreesion, input=1414, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=7853","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=3899, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15736","layer":3},{"info":"compute binary expreesion, left_input=7853, right_input=15736, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=54380, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=7206","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=7206, right_input=3356, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1341","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=2634, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3975","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-3975, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-447","layer":2},{"info":"number node, value=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5344","layer":3},{"info":"number node, value=1895","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=2753, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3644","layer":3},{"info":"compute binary expreesion, left_input=5344, right_input=3644, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-14608","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-14608, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101111110000⇴≮⫘↔1011100100111⫲≸⪮≮⫘↔110001101110⨓≮⫘↔10101111010∲⫓(≮⫘↔10110000110⋘⨑⨽)⊍⩺⋍≮⫘↔10010101100⊬⨰≮⫘↔111100111011)≃(((≮⫘↔1110000100110⫚↹⊑≮⫘↔110100011100)∲⫓≮⫘↔10100111101⪒≮⫘↔101001001010)⫥∨⫟((≮⫘↔101001110000⊭∹↮)⫃⨇≮⫘↔11101100111⋥≓≎≮⫘↔101011000001))=NaN","reverse_text":"NaN=(≮⫘↔1101111110000⇴≮⫘↔1011100100111⫲≸⪮≮⫘↔110001101110⨓≮⫘↔10101111010∲⫓(≮⫘↔10110000110⋘⨑⨽)⊍⩺⋍≮⫘↔10010101100⊬⨰≮⫘↔111100111011)≃(((≮⫘↔1110000100110⫚↹⊑≮⫘↔110100011100)∲⫓≮⫘↔10100111101⪒≮⫘↔101001001010)⫥∨⫟((≮⫘↔101001110000⊭∹↮)⫃⨇≮⫘↔11101100111⋥≓≎≮⫘↔101011000001))","cot":[{"info":"≮⫘↔1101111110000⇴≮⫘↔1011100100111=≮⫘↔1101010001101100","layer":3},{"info":"≮⫘↔110001101110⨓≮⫘↔10101111010=≮⫘↔-10101111101","layer":3},{"info":"≮⫘↔1101010001101100⫲≸⪮≮⫘↔-10101111101=≮⫘↔1101010001101100","layer":2},{"info":"≮⫘↔10110000110⋘⨑⨽=≮⫘↔1111010101101","layer":3},{"info":"≮⫘↔10010101100⊬⨰≮⫘↔111100111011=≮⫘↔11110101111000","layer":3},{"info":"≮⫘↔1111010101101⊍⩺⋍≮⫘↔11110101111000=NaN","layer":2},{"info":"≮⫘↔1101010001101100∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔1110000100110⫚↹⊑≮⫘↔110100011100=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔10100111101⪒≮⫘↔101001001010=≮⫘↔-111110000111","layer":3},{"info":"≮⫘↔-110111111∲⫓≮⫘↔-111110000111=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔101001110000⊭∹↮=≮⫘↔1010011100000","layer":3},{"info":"≮⫘↔11101100111⋥≓≎≮⫘↔101011000001=≮⫘↔111000111100","layer":3},{"info":"≮⫘↔1010011100000⫃⨇≮⫘↔111000111100=≮⫘↔-11100100010000","layer":2},{"info":"≮⫘↔-110111111⫥∨⫟≮⫘↔-11100100010000=NaN","layer":1},{"info":"NaN≃NaN=NaN","layer":0}]}
{"id":570,"expression_no_base_symbol":"(⇾⩊⇾(($1047$⨴∎)⊀⩕))⪭≯(($1288$⋭≵$4083$)⪛($1118$∛≔))⇤(($1739$∪⫐$4679$)⋥≓≎(≯$1236$))","expression":"(⇾⩊⇾((≮⫘↔10000010111⨴∎)⊀⩕))⪭≯((≮⫘↔10100001000⋭≵≮⫘↔111111110011)⪛(≮⫘↔10001011110∛≔))⇤((≮⫘↔11011001011∪⫐≮⫘↔1001001000111)⋥≓≎(≯≮⫘↔10011010100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3641,"operation_count":11,"complexity_ratio":331.0,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1047,"base":2}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1288,"base":2},"right_expr":{"type":"numeric_atoms","value":4083,"base":2}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1118,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1739,"base":2},"right_expr":{"type":"numeric_atoms","value":4679,"base":2}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1236,"base":2}}}}},"used_operators":["XAx5wpdLa6","bx9Z9DAK5y","r0FS3hW4cC","CpSg5vQTgA","YSKBFp38Pu","uFcxV4UQCh","jBncVCNhdl","mGnSCrte3L","Qy55tPpLXF","7YooWSwCyH","keWfFq85dY"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rGHVDoGpnC","nhYeJWJD5X","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","g55IO6H4Gj","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":1},{"info":"number node, value=1288","layer":4},{"info":"number node, value=4083","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=4083, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-305287, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-305220","layer":2},{"info":"number node, value=1739","layer":4},{"info":"number node, value=4679","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=4679, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1739","layer":3},{"info":"number node, value=1236","layer":4},{"info":"compute unary expreesion, input=1236, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1739, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1706","layer":2},{"info":"compute binary expreesion, left_input=-305220, right_input=-1706, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=1537478","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1537478, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇾⩊⇾((≮⫘↔10000010111⨴∎)⊀⩕))⪭≯((≮⫘↔10100001000⋭≵≮⫘↔111111110011)⪛(≮⫘↔10001011110∛≔))⇤((≮⫘↔11011001011∪⫐≮⫘↔1001001000111)⋥≓≎(≯≮⫘↔10011010100))=NaN","reverse_text":"NaN=(⇾⩊⇾((≮⫘↔10000010111⨴∎)⊀⩕))⪭≯((≮⫘↔10100001000⋭≵≮⫘↔111111110011)⪛(≮⫘↔10001011110∛≔))⇤((≮⫘↔11011001011∪⫐≮⫘↔1001001000111)⋥≓≎(≯≮⫘↔10011010100))","cot":[{"info":"≮⫘↔10000010111⨴∎=NaN","layer":3},{"info":"NaN⊀⩕=NaN","layer":2},{"info":"⇾⩊⇾NaN=NaN","layer":1},{"info":"≮⫘↔10100001000⋭≵≮⫘↔111111110011=≮⫘↔1000011","layer":3},{"info":"≮⫘↔10001011110∛≔=≮⫘↔-1001010100010000111","layer":3},{"info":"≮⫘↔1000011⪛≮⫘↔-1001010100010000111=≮⫘↔-1001010100001000100","layer":2},{"info":"≮⫘↔11011001011∪⫐≮⫘↔1001001000111=≮⫘↔11011001011","layer":3},{"info":"≯≮⫘↔10011010100=≮⫘↔0","layer":3},{"info":"≮⫘↔11011001011⋥≓≎≮⫘↔0=≮⫘↔-11010101010","layer":2},{"info":"≮⫘↔-1001010100001000100⇤≮⫘↔-11010101010=≮⫘↔101110111010111000110","layer":1},{"info":"NaN⪭≯≮⫘↔101110111010111000110=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"($6153$⪨⊡$1256$↡⊰⫅$2724$⨔≚≋$2442$)⪔($1859$⫉⨲⊜$5293$⇞)⩒⫫(⩪∧⨌(⊤⊝$1662$⊝⪿⪼$8552$))","expression":"(≮⫘↔1100000001001⪨⊡≮⫘↔10011101000↡⊰⫅≮⫘↔101010100100⨔≚≋≮⫘↔100110001010)⪔(≮⫘↔11101000011⫉⨲⊜≮⫘↔1010010101101⇞)⩒⫫(⩪∧⨌(⊤⊝≮⫘↔11001111110⊝⪿⪼≮⫘↔10000101101000))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":139021,"operation_count":10,"complexity_ratio":13902.1,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":6153,"base":2},"right_expr":{"type":"numeric_atoms","value":1256,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2724,"base":2},"right_expr":{"type":"numeric_atoms","value":2442,"base":2}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1859,"base":2},"right_expr":{"type":"numeric_atoms","value":5293,"base":2}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1662,"base":2},"right_expr":{"type":"numeric_atoms","value":8552,"base":2}}}}},"used_operators":["KFSx94NKJn","GjBEYRfMaF","VCtxkLNOzz","kuIXHzHcAH","Z57zeUYC9z","5JYyxRJd4f","WhqkvtTD3t","6iOiAJX1F8","rXAclfmB4M","3Oe9XWJUTD"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","sdazOOVcIp","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"≮⫘↔10010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6153","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=6153, right_input=1256, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2724","layer":4},{"info":"number node, value=2442","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=2442, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9872, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=19744","layer":2},{"info":"number node, value=1859","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=5293, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":2},{"info":"compute binary expreesion, left_input=19744, right_input=-537, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=1662","layer":4},{"info":"number node, value=8552","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=8552, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=34862","layer":3},{"info":"compute unary expreesion, input=34862, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=68426","layer":2},{"info":"compute unary expreesion, input=68426, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=684260","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=684260, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=148","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100000001001⪨⊡≮⫘↔10011101000↡⊰⫅≮⫘↔101010100100⨔≚≋≮⫘↔100110001010)⪔(≮⫘↔11101000011⫉⨲⊜≮⫘↔1010010101101⇞)⩒⫫(⩪∧⨌(⊤⊝≮⫘↔11001111110⊝⪿⪼≮⫘↔10000101101000))=≮⫘↔10010100","reverse_text":"≮⫘↔10010100=(≮⫘↔1100000001001⪨⊡≮⫘↔10011101000↡⊰⫅≮⫘↔101010100100⨔≚≋≮⫘↔100110001010)⪔(≮⫘↔11101000011⫉⨲⊜≮⫘↔1010010101101⇞)⩒⫫(⩪∧⨌(⊤⊝≮⫘↔11001111110⊝⪿⪼≮⫘↔10000101101000))","cot":[{"info":"≮⫘↔1100000001001⪨⊡≮⫘↔10011101000=≮⫘↔0","layer":3},{"info":"≮⫘↔101010100100⨔≚≋≮⫘↔100110001010=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔0↡⊰⫅≮⫘↔10011010010000=≮⫘↔100110100100000","layer":2},{"info":"≮⫘↔11101000011⫉⨲⊜≮⫘↔1010010101101=≮⫘↔0","layer":3},{"info":"≮⫘↔0⇞=≮⫘↔-1000011001","layer":2},{"info":"≮⫘↔100110100100000⪔≮⫘↔-1000011001=≮⫘↔111000010","layer":1},{"info":"≮⫘↔11001111110⊝⪿⪼≮⫘↔10000101101000=≮⫘↔1000100000101110","layer":3},{"info":"⊤⊝≮⫘↔1000100000101110=≮⫘↔10000101101001010","layer":2},{"info":"⩪∧⨌≮⫘↔10000101101001010=≮⫘↔10100111000011100100","layer":1},{"info":"≮⫘↔111000010⩒⫫≮⫘↔10100111000011100100=≮⫘↔10010100","layer":0}]}
{"id":572,"expression_no_base_symbol":"($5774$⨻⩈⩔$1065$⫔⩽⩺(⋣$7202$)⪨≂(⫟$1744$⇄$5890$))∺≝⩲($1802$⊲⩕⊾$1059$⪇≇⋚($1806$⇼⇔∾$1369$))⩦(⋣($1696$⩚⊴⇥$2040$))","expression":"(≮⫘↔1011010001110⨻⩈⩔≮⫘↔10000101001⫔⩽⩺(⋣≮⫘↔1110000100010)⪨≂(⫟≮⫘↔11011010000⇄≮⫘↔1011100000010))∺≝⩲(≮⫘↔11100001010⊲⩕⊾≮⫘↔10000100011⪇≇⋚(≮⫘↔11100001110⇼⇔∾≮⫘↔10101011001))⩦(⋣(≮⫘↔11010100000⩚⊴⇥≮⫘↔11111111000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":597,"operation_count":13,"complexity_ratio":45.92307692307692,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5774,"base":2},"right_expr":{"type":"numeric_atoms","value":1065,"base":2}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":7202,"base":2}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1744,"base":2},"right_expr":{"type":"numeric_atoms","value":5890,"base":2}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1802,"base":2},"right_expr":{"type":"numeric_atoms","value":1059,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1806,"base":2},"right_expr":{"type":"numeric_atoms","value":1369,"base":2}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1696,"base":2},"right_expr":{"type":"numeric_atoms","value":2040,"base":2}}}}},"used_operators":["KPf6cnQVty","sdazOOVcIp","i9eR4S00cU","nEsXyWgiOK","zQWRhDnn8F","z4E1FaHLuy","3EYGwJThht","0kmYd0q39Y","3sJ7IOPOlU","DmTXOeWf9t","tifHPKVTfV","NTOWxs364D"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5774","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=5774, right_input=1065, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=37791","layer":3},{"info":"number node, value=7202","layer":4},{"info":"compute unary expreesion, input=7202, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-2117293","layer":3},{"info":"compute binary expreesion, left_input=37791, right_input=-2117293, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1744","layer":4},{"info":"number node, value=5890","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=5890, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=907","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=907, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1802","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=1059, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-36052","layer":3},{"info":"number node, value=1806","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=1369, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-437","layer":3},{"info":"compute binary expreesion, left_input=-36052, right_input=-437, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1696","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=2040, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3857","layer":3},{"info":"compute unary expreesion, input=-3857, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-113, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1011010001110⨻⩈⩔≮⫘↔10000101001⫔⩽⩺(⋣≮⫘↔1110000100010)⪨≂(⫟≮⫘↔11011010000⇄≮⫘↔1011100000010))∺≝⩲(≮⫘↔11100001010⊲⩕⊾≮⫘↔10000100011⪇≇⋚(≮⫘↔11100001110⇼⇔∾≮⫘↔10101011001))⩦(⋣(≮⫘↔11010100000⩚⊴⇥≮⫘↔11111111000))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔1011010001110⨻⩈⩔≮⫘↔10000101001⫔⩽⩺(⋣≮⫘↔1110000100010)⪨≂(⫟≮⫘↔11011010000⇄≮⫘↔1011100000010))∺≝⩲(≮⫘↔11100001010⊲⩕⊾≮⫘↔10000100011⪇≇⋚(≮⫘↔11100001110⇼⇔∾≮⫘↔10101011001))⩦(⋣(≮⫘↔11010100000⩚⊴⇥≮⫘↔11111111000))","cot":[{"info":"≮⫘↔1011010001110⨻⩈⩔≮⫘↔10000101001=≮⫘↔1001001110011111","layer":3},{"info":"⋣≮⫘↔1110000100010=≮⫘↔-1000000100111010101101","layer":3},{"info":"≮⫘↔1001001110011111⫔⩽⩺≮⫘↔-1000000100111010101101=NaN","layer":2},{"info":"≮⫘↔11011010000⇄≮⫘↔1011100000010=≮⫘↔0","layer":3},{"info":"⫟≮⫘↔0=≮⫘↔1110001011","layer":2},{"info":"NaN⪨≂≮⫘↔1110001011=NaN","layer":1},{"info":"≮⫘↔11100001010⊲⩕⊾≮⫘↔10000100011=≮⫘↔-1000110011010100","layer":3},{"info":"≮⫘↔11100001110⇼⇔∾≮⫘↔10101011001=≮⫘↔-110110101","layer":3},{"info":"≮⫘↔-1000110011010100⪇≇⋚≮⫘↔-110110101=≮⫘↔0","layer":2},{"info":"≮⫘↔11010100000⩚⊴⇥≮⫘↔11111111000=≮⫘↔-111100010001","layer":3},{"info":"⋣≮⫘↔-111100010001=≮⫘↔-1110001","layer":2},{"info":"≮⫘↔0⩦≮⫘↔-1110001=≮⫘↔0","layer":1},{"info":"NaN∺≝⩲≮⫘↔0=≮⫘↔10100000","layer":0}]}
{"id":573,"expression_no_base_symbol":"↨(($3519$⫒⫫$7190$)⨿($1103$≥⨤⩑$5145$)≦≮≮)","expression":"↨((≮⫘↔110110111111⫒⫫≮⫘↔1110000010110)⨿(≮⫘↔10001001111≥⨤⩑≮⫘↔1010000011001)≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1699,"operation_count":5,"complexity_ratio":339.8,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3519,"base":2},"right_expr":{"type":"numeric_atoms","value":7190,"base":2}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1103,"base":2},"right_expr":{"type":"numeric_atoms","value":5145,"base":2}}}}},"used_operators":["jiX4gk2v2Q","D4vGDi5EA2","abYXlopdE0","6Ko8hGgeMq","gJLn6v0xnP"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3519","layer":4},{"info":"number node, value=7190","layer":4},{"info":"compute binary expreesion, left_input=3519, right_input=7190, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=5145","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=5145, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-201","layer":1},{"info":"compute unary expreesion, input=-201, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"↨((≮⫘↔110110111111⫒⫫≮⫘↔1110000010110)⨿(≮⫘↔10001001111≥⨤⩑≮⫘↔1010000011001)≦≮≮)=≮⫘↔0","reverse_text":"≮⫘↔0=↨((≮⫘↔110110111111⫒⫫≮⫘↔1110000010110)⨿(≮⫘↔10001001111≥⨤⩑≮⫘↔1010000011001)≦≮≮)","cot":[{"info":"≮⫘↔110110111111⫒⫫≮⫘↔1110000010110=NaN","layer":3},{"info":"≮⫘↔10001001111≥⨤⩑≮⫘↔1010000011001=≮⫘↔10011010010","layer":3},{"info":"NaN⨿≮⫘↔10011010010=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1000011≦≮≮=≮⫘↔-11001001","layer":1},{"info":"↨≮⫘↔-11001001=≮⫘↔0","layer":0}]}
{"id":574,"expression_no_base_symbol":"($5862$⪚$1312$≨(⊄⩳↩$6387$)⨰(⊊≼∋($1638$⊜)))⩖⊿(((↸⊣$3474$)↱$1677$⊱⇼⊻$3943$)∋(⨣⨃⇪$4454$⫞⩸⩒$6268$))","expression":"(≮⫘↔1011011100110⪚≮⫘↔10100100000≨(⊄⩳↩≮⫘↔1100011110011)⨰(⊊≼∋(≮⫘↔11001100110⊜)))⩖⊿(((↸⊣≮⫘↔110110010010)↱≮⫘↔11010001101⊱⇼⊻≮⫘↔111101100111)∋(⨣⨃⇪≮⫘↔1000101100110⫞⩸⩒≮⫘↔1100001111100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":347,"operation_count":13,"complexity_ratio":26.692307692307693,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5862,"base":2},"right_expr":{"type":"numeric_atoms","value":1312,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6387,"base":2}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1638,"base":2}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3474,"base":2}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1677,"base":2},"right_expr":{"type":"numeric_atoms","value":3943,"base":2}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4454,"base":2},"right_expr":{"type":"numeric_atoms","value":6268,"base":2}}}}},"used_operators":["RZ5CV9rWsJ","eewbuw0ToL","0KMCeP1Jsh","HrjLwUk87U","8w2t5hMYqp","FWz7pXsQhA","Eev2Q7dYIw","ukq6epAj5P","SR5kFfdi6N","wztAlM01eG","FyVja0WsTP","AcOhelriW5","XGcMNugi78"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5862","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=5862, right_input=1312, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=8744","layer":3},{"info":"number node, value=6387","layer":4},{"info":"compute unary expreesion, input=6387, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19161","layer":3},{"info":"compute binary expreesion, left_input=8744, right_input=-19161, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-84964","layer":2},{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-4816","layer":3},{"info":"compute unary expreesion, input=-4816, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-84964, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3474","layer":4},{"info":"compute unary expreesion, input=3474, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3187","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=3943","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=3943, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-3187, right_input=434, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-780","layer":2},{"info":"number node, value=4454","layer":4},{"info":"number node, value=6268","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=6268, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6268","layer":3},{"info":"compute unary expreesion, input=6268, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=-780, right_input=1405, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2816928","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2816928, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1011011100110⪚≮⫘↔10100100000≨(⊄⩳↩≮⫘↔1100011110011)⨰(⊊≼∋(≮⫘↔11001100110⊜)))⩖⊿(((↸⊣≮⫘↔110110010010)↱≮⫘↔11010001101⊱⇼⊻≮⫘↔111101100111)∋(⨣⨃⇪≮⫘↔1000101100110⫞⩸⩒≮⫘↔1100001111100))=NaN","reverse_text":"NaN=(≮⫘↔1011011100110⪚≮⫘↔10100100000≨(⊄⩳↩≮⫘↔1100011110011)⨰(⊊≼∋(≮⫘↔11001100110⊜)))⩖⊿(((↸⊣≮⫘↔110110010010)↱≮⫘↔11010001101⊱⇼⊻≮⫘↔111101100111)∋(⨣⨃⇪≮⫘↔1000101100110⫞⩸⩒≮⫘↔1100001111100))","cot":[{"info":"≮⫘↔1011011100110⪚≮⫘↔10100100000=≮⫘↔10001000101000","layer":3},{"info":"⊄⩳↩≮⫘↔1100011110011=≮⫘↔-100101011011001","layer":3},{"info":"≮⫘↔10001000101000≨≮⫘↔-100101011011001=≮⫘↔-10100101111100100","layer":2},{"info":"≮⫘↔11001100110⊜=≮⫘↔-1001011010000","layer":3},{"info":"⊊≼∋≮⫘↔-1001011010000=NaN","layer":2},{"info":"≮⫘↔-10100101111100100⨰NaN=NaN","layer":1},{"info":"↸⊣≮⫘↔110110010010=≮⫘↔-110001110011","layer":3},{"info":"≮⫘↔11010001101⊱⇼⊻≮⫘↔111101100111=≮⫘↔110110010","layer":3},{"info":"≮⫘↔-110001110011↱≮⫘↔110110010=≮⫘↔-1100001100","layer":2},{"info":"≮⫘↔1000101100110⫞⩸⩒≮⫘↔1100001111100=≮⫘↔1100001111100","layer":3},{"info":"⨣⨃⇪≮⫘↔1100001111100=≮⫘↔10101111101","layer":2},{"info":"≮⫘↔-1100001100∋≮⫘↔10101111101=≮⫘↔1010101111101110100000","layer":1},{"info":"NaN⩖⊿≮⫘↔1010101111101110100000=NaN","layer":0}]}
{"id":575,"expression_no_base_symbol":"(↨($3887$⫔⩽⩺$1403$)≝⊿(⊿$3948$))⫰⋱(($3853$↡⊰⫅$3699$)⩁⩘($3483$↯⫤))⫁(($7213$⋐⇩⊬)∙∹∝$2716$⨻⩈⩔$2637$)","expression":"(↨(≮⫘↔111100101111⫔⩽⩺≮⫘↔10101111011)≝⊿(⊿≮⫘↔111101101100))⫰⋱((≮⫘↔111100001101↡⊰⫅≮⫘↔111001110011)⩁⩘(≮⫘↔110110011011↯⫤))⫁((≮⫘↔1110000101101⋐⇩⊬)∙∹∝≮⫘↔101010011100⨻⩈⩔≮⫘↔101001001101)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":52259,"operation_count":12,"complexity_ratio":4354.916666666667,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3887,"base":2},"right_expr":{"type":"numeric_atoms","value":1403,"base":2}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3948,"base":2}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3853,"base":2},"right_expr":{"type":"numeric_atoms","value":3699,"base":2}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":3483,"base":2}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":7213,"base":2}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2716,"base":2},"right_expr":{"type":"numeric_atoms","value":2637,"base":2}}}}},"used_operators":["6o9Blt3TJ6","jiX4gk2v2Q","OKKcZfAt5B","i9eR4S00cU","DO4fhlbJSI","0ajvFaJAv0","gub5Cegaqo","VCtxkLNOzz","VwlE7vj6HS","HmxsFra2vL","JuuLT1NoCs","nEsXyWgiOK"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rGHVDoGpnC","oZj3VtZNQx","12rbrZMWeM","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","cHh1gJQ2o6","AHs5Up7iyr","DpFCA1CohY","IWmyXbctLI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3887","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=3887, right_input=1403, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-16530","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16530, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"number node, value=3853","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=3699, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=7398","layer":3},{"info":"number node, value=3483","layer":4},{"info":"compute unary expreesion, input=3483, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7398, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"number node, value=7213","layer":4},{"info":"compute unary expreesion, input=7213, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=7213","layer":3},{"info":"number node, value=2716","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=2637, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=13327","layer":3},{"info":"compute binary expreesion, left_input=7213, right_input=13327, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↨(≮⫘↔111100101111⫔⩽⩺≮⫘↔10101111011)≝⊿(⊿≮⫘↔111101101100))⫰⋱((≮⫘↔111100001101↡⊰⫅≮⫘↔111001110011)⩁⩘(≮⫘↔110110011011↯⫤))⫁((≮⫘↔1110000101101⋐⇩⊬)∙∹∝≮⫘↔101010011100⨻⩈⩔≮⫘↔101001001101)=NaN","reverse_text":"NaN=(↨(≮⫘↔111100101111⫔⩽⩺≮⫘↔10101111011)≝⊿(⊿≮⫘↔111101101100))⫰⋱((≮⫘↔111100001101↡⊰⫅≮⫘↔111001110011)⩁⩘(≮⫘↔110110011011↯⫤))⫁((≮⫘↔1110000101101⋐⇩⊬)∙∹∝≮⫘↔101010011100⨻⩈⩔≮⫘↔101001001101)","cot":[{"info":"≮⫘↔111100101111⫔⩽⩺≮⫘↔10101111011=NaN","layer":3},{"info":"⊿≮⫘↔111101101100=≮⫘↔-100000010010010","layer":3},{"info":"NaN≝⊿≮⫘↔-100000010010010=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"≮⫘↔111100001101↡⊰⫅≮⫘↔111001110011=≮⫘↔1110011100110","layer":3},{"info":"≮⫘↔110110011011↯⫤=≮⫘↔0","layer":3},{"info":"≮⫘↔1110011100110⩁⩘≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1110000101101⋐⇩⊬=≮⫘↔1110000101101","layer":3},{"info":"≮⫘↔101010011100⨻⩈⩔≮⫘↔101001001101=≮⫘↔11010000001111","layer":3},{"info":"≮⫘↔1110000101101∙∹∝≮⫘↔11010000001111=≮⫘↔0","layer":2},{"info":"NaN⫁≮⫘↔0=≮⫘↔10100000","layer":1},{"info":"NaN⫰⋱≮⫘↔10100000=NaN","layer":0}]}
{"id":576,"expression_no_base_symbol":"(($3090$⇐≅)⨐($2186$≣⋋)⪨≂($4983$⪃⊛⇣$9340$⊿∆))⋛($1048$≎⪠$2499$⫥∨⫟$1261$⊹∫⫚$2079$)⩁⩘(∨∊⋏$2660$)↹⊜(⋗⩬⋾$1443$)","expression":"((≮⫘↔110000010010⇐≅)⨐(≮⫘↔100010001010≣⋋)⪨≂(≮⫘↔1001101110111⪃⊛⇣≮⫘↔10010001111100⊿∆))⋛(≮⫘↔10000011000≎⪠≮⫘↔100111000011⫥∨⫟≮⫘↔10011101101⊹∫⫚≮⫘↔100000011111)⩁⩘(∨∊⋏≮⫘↔101001100100)↹⊜(⋗⩬⋾≮⫘↔10110100011)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":20571,"operation_count":14,"complexity_ratio":1469.357142857143,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":3090,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2186,"base":2}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4983,"base":2},"right_expr":{"type":"numeric_atoms","value":9340,"base":2}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1048,"base":2},"right_expr":{"type":"numeric_atoms","value":2499,"base":2}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1261,"base":2},"right_expr":{"type":"numeric_atoms","value":2079,"base":2}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2660,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1443,"base":2}}}}},"used_operators":["YbUVn0Rbpy","sdazOOVcIp","Noe24qw2ks","wEfv7U73WA","Tcnh7f0tEr","fv3ZujxkQL","rrgAzCduG9","gub5Cegaqo","KYD54nUTWz","aNhz54LH3e","uWAJUKEvyW","9bazX3JMtO","R5aXW34M0v","DpFCA1CohY"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","NTOWxs364D","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DpFCA1CohY","IWmyXbctLI","8HhzD0ZcuI","rGHVDoGpnC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3090","layer":4},{"info":"compute unary expreesion, input=3090, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=9238","layer":3},{"info":"number node, value=2186","layer":4},{"info":"compute unary expreesion, input=2186, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9238, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-18476","layer":2},{"info":"number node, value=4983","layer":4},{"info":"number node, value=9340","layer":4},{"info":"compute binary expreesion, left_input=4983, right_input=9340, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-2589","layer":2},{"info":"compute binary expreesion, left_input=-18476, right_input=-2589, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-31672","layer":1},{"info":"number node, value=1048","layer":4},{"info":"number node, value=2499","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=2499, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2079, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2660","layer":4},{"info":"compute unary expreesion, input=2660, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=50639","layer":3},{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4329","layer":3},{"info":"compute binary expreesion, left_input=50639, right_input=-4329, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=118498","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=118498, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-31672, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110000010010⇐≅)⨐(≮⫘↔100010001010≣⋋)⪨≂(≮⫘↔1001101110111⪃⊛⇣≮⫘↔10010001111100⊿∆))⋛(≮⫘↔10000011000≎⪠≮⫘↔100111000011⫥∨⫟≮⫘↔10011101101⊹∫⫚≮⫘↔100000011111)⩁⩘(∨∊⋏≮⫘↔101001100100)↹⊜(⋗⩬⋾≮⫘↔10110100011)=NaN","reverse_text":"NaN=((≮⫘↔110000010010⇐≅)⨐(≮⫘↔100010001010≣⋋)⪨≂(≮⫘↔1001101110111⪃⊛⇣≮⫘↔10010001111100⊿∆))⋛(≮⫘↔10000011000≎⪠≮⫘↔100111000011⫥∨⫟≮⫘↔10011101101⊹∫⫚≮⫘↔100000011111)⩁⩘(∨∊⋏≮⫘↔101001100100)↹⊜(⋗⩬⋾≮⫘↔10110100011)","cot":[{"info":"≮⫘↔110000010010⇐≅=≮⫘↔10010000010110","layer":3},{"info":"≮⫘↔100010001010≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔10010000010110⨐≮⫘↔0=≮⫘↔-100100000101100","layer":2},{"info":"≮⫘↔1001101110111⪃⊛⇣≮⫘↔10010001111100=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011010010⊿∆=≮⫘↔-101000011101","layer":2},{"info":"≮⫘↔-100100000101100⪨≂≮⫘↔-101000011101=≮⫘↔-111101110111000","layer":1},{"info":"≮⫘↔10000011000≎⪠≮⫘↔100111000011=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔10011101101⊹∫⫚≮⫘↔100000011111=≮⫘↔0","layer":3},{"info":"≮⫘↔100110001100110⫥∨⫟≮⫘↔0=NaN","layer":2},{"info":"∨∊⋏≮⫘↔101001100100=≮⫘↔1100010111001111","layer":3},{"info":"⋗⩬⋾≮⫘↔10110100011=≮⫘↔-1000011101001","layer":3},{"info":"≮⫘↔1100010111001111↹⊜≮⫘↔-1000011101001=≮⫘↔11100111011100010","layer":2},{"info":"NaN⩁⩘≮⫘↔11100111011100010=NaN","layer":1},{"info":"≮⫘↔-111101110111000⋛NaN=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"(($2882$⋾⨃∁$2107$)⇂≾⫗($1738$∙∹∝$2978$)*(($1063$≒∊$6932$)⇯⋐))⩚⊴⇥(($7006$∇⊂⋱$3780$)≦↸($4126$∌↝$4402$))⨿((∓$2225$)∥⊢⊲($1045$+$1447$))","expression":"((≮⫘↔101101000010⋾⨃∁≮⫘↔100000111011)⇂≾⫗(≮⫘↔11011001010∙∹∝≮⫘↔101110100010)*((≮⫘↔10000100111≒∊≮⫘↔1101100010100)⇯⋐))⩚⊴⇥((≮⫘↔1101101011110∇⊂⋱≮⫘↔111011000100)≦↸(≮⫘↔1000000011110∌↝≮⫘↔1000100110010))⨿((∓≮⫘↔100010110001)∥⊢⊲(≮⫘↔10000010101+≮⫘↔10110100111))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":81803,"operation_count":14,"complexity_ratio":5843.071428571428,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2882,"base":2},"right_expr":{"type":"numeric_atoms","value":2107,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1738,"base":2},"right_expr":{"type":"numeric_atoms","value":2978,"base":2}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":6932,"base":2}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7006,"base":2},"right_expr":{"type":"numeric_atoms","value":3780,"base":2}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4126,"base":2},"right_expr":{"type":"numeric_atoms","value":4402,"base":2}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2225,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1045,"base":2},"right_expr":{"type":"numeric_atoms","value":1447,"base":2}}}}},"used_operators":["NTOWxs364D","9HNa5Wba9A","aBQ6xLxuTc","212REbPD9h","HmxsFra2vL","LkLIoiE525","5KTvxBwnZo","abYXlopdE0","RygbFNSyEJ","nhYeJWJD5X","9Isq31Ruls","v1UQAVDJRr","OwUj7dcsQK","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"≮⫘↔111001110111000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2882","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=2107, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=44369112","layer":3},{"info":"number node, value=1738","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=2978, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=44369112, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=6932","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=6932, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-579","layer":3},{"info":"compute unary expreesion, input=-579, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=354","layer":2},{"info":"compute binary expreesion, left_input=-670, right_input=354, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-237180","layer":1},{"info":"number node, value=7006","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=7006, right_input=3780, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13466","layer":3},{"info":"number node, value=4126","layer":4},{"info":"number node, value=4402","layer":4},{"info":"compute binary expreesion, left_input=4126, right_input=4402, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=13466, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-26251","layer":2},{"info":"number node, value=2225","layer":4},{"info":"compute unary expreesion, input=2225, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-38247","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1447, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2492","layer":3},{"info":"compute binary expreesion, left_input=-38247, right_input=2492, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=2492","layer":2},{"info":"compute binary expreesion, left_input=-26251, right_input=2492, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-237180, right_input=67, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=236992","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101101000010⋾⨃∁≮⫘↔100000111011)⇂≾⫗(≮⫘↔11011001010∙∹∝≮⫘↔101110100010)*((≮⫘↔10000100111≒∊≮⫘↔1101100010100)⇯⋐))⩚⊴⇥((≮⫘↔1101101011110∇⊂⋱≮⫘↔111011000100)≦↸(≮⫘↔1000000011110∌↝≮⫘↔1000100110010))⨿((∓≮⫘↔100010110001)∥⊢⊲(≮⫘↔10000010101+≮⫘↔10110100111))=≮⫘↔111001110111000000","reverse_text":"≮⫘↔111001110111000000=((≮⫘↔101101000010⋾⨃∁≮⫘↔100000111011)⇂≾⫗(≮⫘↔11011001010∙∹∝≮⫘↔101110100010)*((≮⫘↔10000100111≒∊≮⫘↔1101100010100)⇯⋐))⩚⊴⇥((≮⫘↔1101101011110∇⊂⋱≮⫘↔111011000100)≦↸(≮⫘↔1000000011110∌↝≮⫘↔1000100110010))⨿((∓≮⫘↔100010110001)∥⊢⊲(≮⫘↔10000010101+≮⫘↔10110100111))","cot":[{"info":"≮⫘↔101101000010⋾⨃∁≮⫘↔100000111011=≮⫘↔10101001010000010011011000","layer":3},{"info":"≮⫘↔11011001010∙∹∝≮⫘↔101110100010=≮⫘↔0","layer":3},{"info":"≮⫘↔10101001010000010011011000⇂≾⫗≮⫘↔0=≮⫘↔-1010011110","layer":2},{"info":"≮⫘↔10000100111≒∊≮⫘↔1101100010100=≮⫘↔-1001000011","layer":3},{"info":"≮⫘↔-1001000011⇯⋐=≮⫘↔101100010","layer":2},{"info":"≮⫘↔-1010011110*≮⫘↔101100010=≮⫘↔-111001111001111100","layer":1},{"info":"≮⫘↔1101101011110∇⊂⋱≮⫘↔111011000100=≮⫘↔11010010011010","layer":3},{"info":"≮⫘↔1000000011110∌↝≮⫘↔1000100110010=≮⫘↔0","layer":3},{"info":"≮⫘↔11010010011010≦↸≮⫘↔0=≮⫘↔-110011010001011","layer":2},{"info":"∓≮⫘↔100010110001=≮⫘↔-1001010101100111","layer":3},{"info":"≮⫘↔10000010101+≮⫘↔10110100111=≮⫘↔100110111100","layer":3},{"info":"≮⫘↔-1001010101100111∥⊢⊲≮⫘↔100110111100=≮⫘↔100110111100","layer":2},{"info":"≮⫘↔-110011010001011⨿≮⫘↔100110111100=≮⫘↔1000011","layer":1},{"info":"≮⫘↔-111001111001111100⩚⊴⇥≮⫘↔1000011=≮⫘↔111001110111000000","layer":0}]}
{"id":578,"expression_no_base_symbol":"(≅≯⇸$5292$⨑⩅≇$3106$)⨐⩸⫘$1098$⨽∌$3525$⊴$5879$↢$3340$⪨≂(↴⪽⋼(↓⇌$1505$))⨟⋌⩍($5966$⪔⊥$2553$⩧⪆($1731$≎⊠⪸$3519$))","expression":"(≅≯⇸≮⫘↔1010010101100⨑⩅≇≮⫘↔110000100010)⨐⩸⫘≮⫘↔10001001010⨽∌≮⫘↔110111000101⊴≮⫘↔1011011110111↢≮⫘↔110100001100⪨≂(↴⪽⋼(↓⇌≮⫘↔10111100001))⨟⋌⩍(≮⫘↔1011101001110⪔⊥≮⫘↔100111111001⩧⪆(≮⫘↔11011000011≎⊠⪸≮⫘↔110110111111))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":8941,"operation_count":13,"complexity_ratio":687.7692307692307,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5292,"base":2},"right_expr":{"type":"numeric_atoms","value":3106,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1098,"base":2},"right_expr":{"type":"numeric_atoms","value":3525,"base":2}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":5879,"base":2},"right_expr":{"type":"numeric_atoms","value":3340,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1505,"base":2}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5966,"base":2},"right_expr":{"type":"numeric_atoms","value":2553,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1731,"base":2},"right_expr":{"type":"numeric_atoms","value":3519,"base":2}}}}},"used_operators":["sdazOOVcIp","fu6greOZ01","apS25hmuAe","h92wMvzauj","Nsiff2A1zJ","9samAPKr6k","WR6HLWljOP","rGHVDoGpnC","5TUYCnJO6w","PxpmPgHHJV","Ikt5ks8PT7","HJ9erzHUuu","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","EBcxylXtPf","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","14qkJME0vr","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Tcnh7f0tEr","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eewbuw0ToL","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5292","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=5292, right_input=3106, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-15876","layer":3},{"info":"compute unary expreesion, input=-15876, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-55827","layer":2},{"info":"number node, value=1098","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=3525, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=5879","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=5879, right_input=3340, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5395","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5395, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55827, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1505","layer":4},{"info":"compute unary expreesion, input=1505, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1505","layer":3},{"info":"compute unary expreesion, input=1505, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1505","layer":2},{"info":"number node, value=5966","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=5966, right_input=2553, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=18559","layer":3},{"info":"number node, value=1731","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=3519, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=447856","layer":3},{"info":"compute binary expreesion, left_input=18559, right_input=447856, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-447856","layer":2},{"info":"compute binary expreesion, left_input=1505, right_input=-447856, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≅≯⇸≮⫘↔1010010101100⨑⩅≇≮⫘↔110000100010)⨐⩸⫘≮⫘↔10001001010⨽∌≮⫘↔110111000101⊴≮⫘↔1011011110111↢≮⫘↔110100001100⪨≂(↴⪽⋼(↓⇌≮⫘↔10111100001))⨟⋌⩍(≮⫘↔1011101001110⪔⊥≮⫘↔100111111001⩧⪆(≮⫘↔11011000011≎⊠⪸≮⫘↔110110111111))=NaN","reverse_text":"NaN=(≅≯⇸≮⫘↔1010010101100⨑⩅≇≮⫘↔110000100010)⨐⩸⫘≮⫘↔10001001010⨽∌≮⫘↔110111000101⊴≮⫘↔1011011110111↢≮⫘↔110100001100⪨≂(↴⪽⋼(↓⇌≮⫘↔10111100001))⨟⋌⩍(≮⫘↔1011101001110⪔⊥≮⫘↔100111111001⩧⪆(≮⫘↔11011000011≎⊠⪸≮⫘↔110110111111))","cot":[{"info":"≮⫘↔1010010101100⨑⩅≇≮⫘↔110000100010=≮⫘↔-11111000000100","layer":3},{"info":"≅≯⇸≮⫘↔-11111000000100=≮⫘↔-1101101000010011","layer":2},{"info":"≮⫘↔10001001010⨽∌≮⫘↔110111000101=≮⫘↔0","layer":3},{"info":"≮⫘↔1011011110111↢≮⫘↔110100001100=≮⫘↔1010100010011","layer":3},{"info":"≮⫘↔0⊴≮⫘↔1010100010011=NaN","layer":2},{"info":"≮⫘↔-1101101000010011⨐⩸⫘NaN=NaN","layer":1},{"info":"↓⇌≮⫘↔10111100001=≮⫘↔10111100001","layer":3},{"info":"↴⪽⋼≮⫘↔10111100001=≮⫘↔10111100001","layer":2},{"info":"≮⫘↔1011101001110⪔⊥≮⫘↔100111111001=≮⫘↔100100001111111","layer":3},{"info":"≮⫘↔11011000011≎⊠⪸≮⫘↔110110111111=≮⫘↔1101101010101110000","layer":3},{"info":"≮⫘↔100100001111111⩧⪆≮⫘↔1101101010101110000=≮⫘↔-1101101010101110000","layer":2},{"info":"≮⫘↔10111100001⨟⋌⩍≮⫘↔-1101101010101110000=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":579,"expression_no_base_symbol":"($2524$≄⊠$3712$⇮⋭(⊑$1901$))⪥($1815$≥⨤⩑$1158$)⊢($2080$∼$3536$)⇐≅","expression":"(≮⫘↔100111011100≄⊠≮⫘↔111010000000⇮⋭(⊑≮⫘↔11101101101))⪥(≮⫘↔11100010111≥⨤⩑≮⫘↔10010000110)⊢(≮⫘↔100000100000∼≮⫘↔110111010000)⇐≅","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":871,"operation_count":8,"complexity_ratio":108.875,"tree":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2524,"base":2},"right_expr":{"type":"numeric_atoms","value":3712,"base":2}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1901,"base":2}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1815,"base":2},"right_expr":{"type":"numeric_atoms","value":1158,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2080,"base":2},"right_expr":{"type":"numeric_atoms","value":3536,"base":2}}}}},"used_operators":["wEfv7U73WA","QbnwKVWMIQ","vkpjKywKVM","vXNesLlMH1","IkUmn0D7oy","5twsqlHp2o","gJLn6v0xnP","DyGG3AbaNP"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≮⫘↔-101100101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2524","layer":4},{"info":"number node, value=3712","layer":4},{"info":"compute binary expreesion, left_input=2524, right_input=3712, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=64060","layer":3},{"info":"number node, value=1901","layer":4},{"info":"compute unary expreesion, input=1901, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=64060, right_input=192, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=149184","layer":2},{"info":"number node, value=1815","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=1158, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2080","layer":4},{"info":"number node, value=3536","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=3536, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2712","layer":2},{"info":"compute binary expreesion, left_input=149184, right_input=-2712, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"compute unary expreesion, input=-116, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=-357","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100111011100≄⊠≮⫘↔111010000000⇮⋭(⊑≮⫘↔11101101101))⪥(≮⫘↔11100010111≥⨤⩑≮⫘↔10010000110)⊢(≮⫘↔100000100000∼≮⫘↔110111010000)⇐≅=≮⫘↔-101100101","reverse_text":"≮⫘↔-101100101=(≮⫘↔100111011100≄⊠≮⫘↔111010000000⇮⋭(⊑≮⫘↔11101101101))⪥(≮⫘↔11100010111≥⨤⩑≮⫘↔10010000110)⊢(≮⫘↔100000100000∼≮⫘↔110111010000)⇐≅","cot":[{"info":"≮⫘↔100111011100≄⊠≮⫘↔111010000000=≮⫘↔1111101000111100","layer":3},{"info":"⊑≮⫘↔11101101101=≮⫘↔11000000","layer":3},{"info":"≮⫘↔1111101000111100⇮⋭≮⫘↔11000000=≮⫘↔100100011011000000","layer":2},{"info":"≮⫘↔11100010111≥⨤⩑≮⫘↔10010000110=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔100000100000∼≮⫘↔110111010000=NaN","layer":3},{"info":"≮⫘↔10011010010⊢NaN=≮⫘↔-101010011000","layer":2},{"info":"≮⫘↔100100011011000000⪥≮⫘↔-101010011000=≮⫘↔-1110100","layer":1},{"info":"≮⫘↔-1110100⇐≅=≮⫘↔-101100101","layer":0}]}
{"id":580,"expression_no_base_symbol":"⊖($3483$⨸$3696$≃$1857$⇌⫙⪟$3886$)⇌⫙⪟(∂⩏⊆$1728$⩣⫁∢$5203$)","expression":"⊖(≮⫘↔110110011011⨸≮⫘↔111001110000≃≮⫘↔11101000001⇌⫙⪟≮⫘↔111100101110)⇌⫙⪟(∂⩏⊆≮⫘↔11011000000⩣⫁∢≮⫘↔1010001010011)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3666,"operation_count":7,"complexity_ratio":523.7142857142857,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3483,"base":2},"right_expr":{"type":"numeric_atoms","value":3696,"base":2}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1857,"base":2},"right_expr":{"type":"numeric_atoms","value":3886,"base":2}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1728,"base":2},"right_expr":{"type":"numeric_atoms","value":5203,"base":2}}}}},"used_operators":["U6pG0PXrV3","AFVx7xoS7T","YbVcJGFEVW","KmoU8R5UQR","8WDwsbhb0R","JDUIKTTSIa"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","14qkJME0vr","eLAdDNolq6","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"≮⫘↔-101010011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3483","layer":4},{"info":"number node, value=3696","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=3696, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6966","layer":3},{"info":"number node, value=1857","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=3886, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=6966, right_input=113, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-984","layer":2},{"info":"number node, value=1728","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=5203, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3295","layer":3},{"info":"compute unary expreesion, input=-3295, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=3779","layer":2},{"info":"compute binary expreesion, left_input=-984, right_input=3779, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=-339","layer":0}],"base":2,"result_base":2,"text":"⊖(≮⫘↔110110011011⨸≮⫘↔111001110000≃≮⫘↔11101000001⇌⫙⪟≮⫘↔111100101110)⇌⫙⪟(∂⩏⊆≮⫘↔11011000000⩣⫁∢≮⫘↔1010001010011)=≮⫘↔-101010011","reverse_text":"≮⫘↔-101010011=⊖(≮⫘↔110110011011⨸≮⫘↔111001110000≃≮⫘↔11101000001⇌⫙⪟≮⫘↔111100101110)⇌⫙⪟(∂⩏⊆≮⫘↔11011000000⩣⫁∢≮⫘↔1010001010011)","cot":[{"info":"≮⫘↔110110011011⨸≮⫘↔111001110000=≮⫘↔1101100110110","layer":3},{"info":"≮⫘↔11101000001⇌⫙⪟≮⫘↔111100101110=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1101100110110≃≮⫘↔1110001=≮⫘↔-1111011000","layer":2},{"info":"≮⫘↔11011000000⩣⫁∢≮⫘↔1010001010011=≮⫘↔-110011011111","layer":3},{"info":"∂⩏⊆≮⫘↔-110011011111=≮⫘↔111011000011","layer":2},{"info":"≮⫘↔-1111011000⇌⫙⪟≮⫘↔111011000011=≮⫘↔1110001","layer":1},{"info":"⊖≮⫘↔1110001=≮⫘↔-101010011","layer":0}]}
{"id":581,"expression_no_base_symbol":"((≱⇩⩕$6019$⪔$1031$)⨳⩥⨓$7563$⨥⫆$3110$⩌⋺($7882$⨪↰⇹$1217$))≝⊿((≘$1637$)⩁⩘(⨦⪝$3283$)⨭⪣($1689$⨐⩸⫘$1037$)∇⊂⋱(↥≼⋛$3242$))","expression":"((≱⇩⩕≮⫘↔1011110000011⪔≮⫘↔10000000111)⨳⩥⨓≮⫘↔1110110001011⨥⫆≮⫘↔110000100110⩌⋺(≮⫘↔1111011001010⨪↰⇹≮⫘↔10011000001))≝⊿((≘≮⫘↔11001100101)⩁⩘(⨦⪝≮⫘↔110011010011)⨭⪣(≮⫘↔11010011001⨐⩸⫘≮⫘↔10000001101)∇⊂⋱(↥≼⋛≮⫘↔110010101010))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9387,"operation_count":14,"complexity_ratio":670.5,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":6019,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":7563,"base":2},"right_expr":{"type":"numeric_atoms","value":3110,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7882,"base":2},"right_expr":{"type":"numeric_atoms","value":1217,"base":2}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1637,"base":2}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3283,"base":2}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1689,"base":2},"right_expr":{"type":"numeric_atoms","value":1037,"base":2}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":3242,"base":2}}}}},"used_operators":["OKKcZfAt5B","nCS4ZIUYfx","3DZMoQKiUl","GjBEYRfMaF","g7Hmc5v1ko","yXekIHxTD4","tmPS8pqC7x","kn8WO9XteQ","gub5Cegaqo","tcjXMdvYtA","SUjycxNXIR","nhYeJWJD5X","fu6greOZ01","x5lMkHmzsq"],"dependent_operators":["12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rJVOvQCfKK","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DpFCA1CohY","IWmyXbctLI","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","3ViojmjbAp","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"≮⫘↔11010110011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6019","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=6019, right_input=1031, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"number node, value=7563","layer":4},{"info":"number node, value=3110","layer":4},{"info":"compute binary expreesion, left_input=7563, right_input=3110, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6096","layer":3},{"info":"number node, value=7882","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=7882, right_input=1217, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7882","layer":3},{"info":"compute binary expreesion, left_input=6096, right_input=7882, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-14099","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-14099, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-14212","layer":1},{"info":"number node, value=1637","layer":4},{"info":"compute unary expreesion, input=1637, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3610369","layer":3},{"info":"number node, value=3283","layer":4},{"info":"compute unary expreesion, input=3283, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=3610369, right_input=-1884, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-6588","layer":2},{"info":"number node, value=1689","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1037, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3242","layer":4},{"info":"compute unary expreesion, input=3242, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-113, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6588, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-14212, right_input=-21, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=13721","layer":0}],"base":2,"result_base":2,"text":"((≱⇩⩕≮⫘↔1011110000011⪔≮⫘↔10000000111)⨳⩥⨓≮⫘↔1110110001011⨥⫆≮⫘↔110000100110⩌⋺(≮⫘↔1111011001010⨪↰⇹≮⫘↔10011000001))≝⊿((≘≮⫘↔11001100101)⩁⩘(⨦⪝≮⫘↔110011010011)⨭⪣(≮⫘↔11010011001⨐⩸⫘≮⫘↔10000001101)∇⊂⋱(↥≼⋛≮⫘↔110010101010))=≮⫘↔11010110011001","reverse_text":"≮⫘↔11010110011001=((≱⇩⩕≮⫘↔1011110000011⪔≮⫘↔10000000111)⨳⩥⨓≮⫘↔1110110001011⨥⫆≮⫘↔110000100110⩌⋺(≮⫘↔1111011001010⨪↰⇹≮⫘↔10011000001))≝⊿((≘≮⫘↔11001100101)⩁⩘(⨦⪝≮⫘↔110011010011)⨭⪣(≮⫘↔11010011001⨐⩸⫘≮⫘↔10000001101)∇⊂⋱(↥≼⋛≮⫘↔110010101010))","cot":[{"info":"≮⫘↔1011110000011⪔≮⫘↔10000000111=≮⫘↔111000010","layer":3},{"info":"≱⇩⩕≮⫘↔111000010=≮⫘↔1110001","layer":2},{"info":"≮⫘↔1110110001011⨥⫆≮⫘↔110000100110=≮⫘↔1011111010000","layer":3},{"info":"≮⫘↔1111011001010⨪↰⇹≮⫘↔10011000001=≮⫘↔1111011001010","layer":3},{"info":"≮⫘↔1011111010000⩌⋺≮⫘↔1111011001010=≮⫘↔-11011100010011","layer":2},{"info":"≮⫘↔1110001⨳⩥⨓≮⫘↔-11011100010011=≮⫘↔-11011110000100","layer":1},{"info":"≘≮⫘↔11001100101=≮⫘↔1101110001011100000001","layer":3},{"info":"⨦⪝≮⫘↔110011010011=≮⫘↔-11101011100","layer":3},{"info":"≮⫘↔1101110001011100000001⩁⩘≮⫘↔-11101011100=≮⫘↔-1100110111100","layer":2},{"info":"≮⫘↔11010011001⨐⩸⫘≮⫘↔10000001101=NaN","layer":3},{"info":"↥≼⋛≮⫘↔110010101010=≮⫘↔-1110001","layer":3},{"info":"NaN∇⊂⋱≮⫘↔-1110001=NaN","layer":2},{"info":"≮⫘↔-1100110111100⨭⪣NaN=≮⫘↔-10101","layer":1},{"info":"≮⫘↔-11011110000100≝⊿≮⫘↔-10101=≮⫘↔11010110011001","layer":0}]}
{"id":582,"expression_no_base_symbol":"((($2755$⫡⨏$2424$)⨭⪣$1969$⊋≦⊧$1650$)∀⇚≩($1308$⪇≇⋚$1238$⫸⇳$2517$⪛⫼$1442$))⨪↰⇹(($2535$≹⇙⪍$1707$⪨⊡$4581$⇷$1039$)⪍↜⋙((∤$7641$)⇼⇔∾$3964$⪄$1715$))","expression":"(((≮⫘↔101011000011⫡⨏≮⫘↔100101111000)⨭⪣≮⫘↔11110110001⊋≦⊧≮⫘↔11001110010)∀⇚≩(≮⫘↔10100011100⪇≇⋚≮⫘↔10011010110⫸⇳≮⫘↔100111010101⪛⫼≮⫘↔10110100010))⨪↰⇹((≮⫘↔100111100111≹⇙⪍≮⫘↔11010101011⪨⊡≮⫘↔1000111100101⇷≮⫘↔10000001111)⪍↜⋙((∤≮⫘↔1110111011001)⇼⇔∾≮⫘↔111101111100⪄≮⫘↔11010110011))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":191376,"operation_count":15,"complexity_ratio":12758.4,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2755,"base":2},"right_expr":{"type":"numeric_atoms","value":2424,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1969,"base":2},"right_expr":{"type":"numeric_atoms","value":1650,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1308,"base":2},"right_expr":{"type":"numeric_atoms","value":1238,"base":2}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2517,"base":2},"right_expr":{"type":"numeric_atoms","value":1442,"base":2}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2535,"base":2},"right_expr":{"type":"numeric_atoms","value":1707,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4581,"base":2},"right_expr":{"type":"numeric_atoms","value":1039,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":7641,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3964,"base":2},"right_expr":{"type":"numeric_atoms","value":1715,"base":2}}}}},"used_operators":["tmPS8pqC7x","LRNGc0VcxI","kn8WO9XteQ","QMFrweE19q","oRDoc9rAEX","gx7XJ7hdpj","3sJ7IOPOlU","hyuBjUqXlG","L05ObWFQCd","kuIXHzHcAH","AHs5Up7iyr","mp7IySMOzn","tifHPKVTfV","k2HlF1dBQh","SUmda5xLS4"],"dependent_operators":["rJVOvQCfKK","X99M06cbEe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2755","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=2755, right_input=2424, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19406","layer":3},{"info":"number node, value=1969","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1650, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3060","layer":3},{"info":"compute binary expreesion, left_input=19406, right_input=-3060, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=18127","layer":2},{"info":"number node, value=1308","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=1238, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2517","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=1442, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=18127, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2535","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=2535, right_input=1707, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4581","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=4581, right_input=1039, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2078","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2078, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"number node, value=7641","layer":4},{"info":"compute unary expreesion, input=7641, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=3964","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=3964, right_input=1715, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-589621","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-589621, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-589630","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-589630, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101011000011⫡⨏≮⫘↔100101111000)⨭⪣≮⫘↔11110110001⊋≦⊧≮⫘↔11001110010)∀⇚≩(≮⫘↔10100011100⪇≇⋚≮⫘↔10011010110⫸⇳≮⫘↔100111010101⪛⫼≮⫘↔10110100010))⨪↰⇹((≮⫘↔100111100111≹⇙⪍≮⫘↔11010101011⪨⊡≮⫘↔1000111100101⇷≮⫘↔10000001111)⪍↜⋙((∤≮⫘↔1110111011001)⇼⇔∾≮⫘↔111101111100⪄≮⫘↔11010110011))=NaN","reverse_text":"NaN=(((≮⫘↔101011000011⫡⨏≮⫘↔100101111000)⨭⪣≮⫘↔11110110001⊋≦⊧≮⫘↔11001110010)∀⇚≩(≮⫘↔10100011100⪇≇⋚≮⫘↔10011010110⫸⇳≮⫘↔100111010101⪛⫼≮⫘↔10110100010))⨪↰⇹((≮⫘↔100111100111≹⇙⪍≮⫘↔11010101011⪨⊡≮⫘↔1000111100101⇷≮⫘↔10000001111)⪍↜⋙((∤≮⫘↔1110111011001)⇼⇔∾≮⫘↔111101111100⪄≮⫘↔11010110011))","cot":[{"info":"≮⫘↔101011000011⫡⨏≮⫘↔100101111000=≮⫘↔100101111001110","layer":3},{"info":"≮⫘↔11110110001⊋≦⊧≮⫘↔11001110010=≮⫘↔-101111110100","layer":3},{"info":"≮⫘↔100101111001110⨭⪣≮⫘↔-101111110100=≮⫘↔100011011001111","layer":2},{"info":"≮⫘↔10100011100⪇≇⋚≮⫘↔10011010110=≮⫘↔0","layer":3},{"info":"≮⫘↔100111010101⪛⫼≮⫘↔10110100010=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔0⫸⇳≮⫘↔1111001000=≮⫘↔0","layer":2},{"info":"≮⫘↔100011011001111∀⇚≩≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔100111100111≹⇙⪍≮⫘↔11010101011=NaN","layer":3},{"info":"≮⫘↔1000111100101⇷≮⫘↔10000001111=≮⫘↔100000011110","layer":3},{"info":"NaN⪨⊡≮⫘↔100000011110=NaN","layer":2},{"info":"∤≮⫘↔1110111011001=≮⫘↔1001","layer":3},{"info":"≮⫘↔111101111100⪄≮⫘↔11010110011=≮⫘↔-10001111111100110101","layer":3},{"info":"≮⫘↔1001⇼⇔∾≮⫘↔-10001111111100110101=≮⫘↔-10001111111100111110","layer":2},{"info":"NaN⪍↜⋙≮⫘↔-10001111111100111110=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":583,"expression_no_base_symbol":"((⋗⩬⋾$2760$)⪝($2732$⩷∴$1488$)≬⋮($3335$⋾⨃∁$2622$⨽⪊≇))∀⇚≩($3244$⫢⨠$1103$)≌(∂$1015$)∓⋝(($4769$∌↝$5189$)⨚$4598$⩍⋽⫝̸$2393$)","expression":"((⋗⩬⋾≮⫘↔101011001000)⪝(≮⫘↔101010101100⩷∴≮⫘↔10111010000)≬⋮(≮⫘↔110100000111⋾⨃∁≮⫘↔101000111110⨽⪊≇))∀⇚≩(≮⫘↔110010101100⫢⨠≮⫘↔10001001111)≌(∂≮⫘↔1111110111)∓⋝((≮⫘↔1001010100001∌↝≮⫘↔1010001000101)⨚≮⫘↔1000111110110⩍⋽⫝̸≮⫘↔100101011001)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":9394,"operation_count":14,"complexity_ratio":671.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2760,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2732,"base":2},"right_expr":{"type":"numeric_atoms","value":1488,"base":2}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3335,"base":2},"right_expr":{"type":"numeric_atoms","value":2622,"base":2}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3244,"base":2},"right_expr":{"type":"numeric_atoms","value":1103,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1015,"base":2}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4769,"base":2},"right_expr":{"type":"numeric_atoms","value":5189,"base":2}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4598,"base":2},"right_expr":{"type":"numeric_atoms","value":2393,"base":2}}}}},"used_operators":["LRNGc0VcxI","kbkesczE7y","wicAB68Tmb","DpFCA1CohY","9FxExcQeMw","nlCqmYiOvY","212REbPD9h","PoHhknlbAi","lyWz822IDG","xlXykHWxX1","Uaa54Peajs","nREPSIbpBE","9Isq31Ruls","BiWNJpBvwn"],"dependent_operators":["X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","BjRHVeLaeN","12rbrZMWeM","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2760","layer":4},{"info":"compute unary expreesion, input=2760, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8280","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=1488, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2456","layer":3},{"info":"compute binary expreesion, left_input=-8280, right_input=2456, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-71809","layer":2},{"info":"number node, value=3335","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=3335, right_input=2622, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=68717282","layer":3},{"info":"compute unary expreesion, input=68717282, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=137434038","layer":2},{"info":"compute binary expreesion, left_input=-71809, right_input=137434038, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=3244","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=1103, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=4769","layer":4},{"info":"number node, value=5189","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=5189, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=4598","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=4598, right_input=2393, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1447, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-4854","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4854, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=67, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾≮⫘↔101011001000)⪝(≮⫘↔101010101100⩷∴≮⫘↔10111010000)≬⋮(≮⫘↔110100000111⋾⨃∁≮⫘↔101000111110⨽⪊≇))∀⇚≩(≮⫘↔110010101100⫢⨠≮⫘↔10001001111)≌(∂≮⫘↔1111110111)∓⋝((≮⫘↔1001010100001∌↝≮⫘↔1010001000101)⨚≮⫘↔1000111110110⩍⋽⫝̸≮⫘↔100101011001)=NaN","reverse_text":"NaN=((⋗⩬⋾≮⫘↔101011001000)⪝(≮⫘↔101010101100⩷∴≮⫘↔10111010000)≬⋮(≮⫘↔110100000111⋾⨃∁≮⫘↔101000111110⨽⪊≇))∀⇚≩(≮⫘↔110010101100⫢⨠≮⫘↔10001001111)≌(∂≮⫘↔1111110111)∓⋝((≮⫘↔1001010100001∌↝≮⫘↔1010001000101)⨚≮⫘↔1000111110110⩍⋽⫝̸≮⫘↔100101011001)","cot":[{"info":"⋗⩬⋾≮⫘↔101011001000=≮⫘↔-10000001011000","layer":3},{"info":"≮⫘↔101010101100⩷∴≮⫘↔10111010000=≮⫘↔100110011000","layer":3},{"info":"≮⫘↔-10000001011000⪝≮⫘↔100110011000=≮⫘↔-10001100010000001","layer":2},{"info":"≮⫘↔110100000111⋾⨃∁≮⫘↔101000111110=≮⫘↔100000110001000101011100010","layer":3},{"info":"≮⫘↔100000110001000101011100010⨽⪊≇=≮⫘↔1000001100010001001110110110","layer":2},{"info":"≮⫘↔-10001100010000001≬⋮≮⫘↔1000001100010001001110110110=≮⫘↔1101100100","layer":1},{"info":"≮⫘↔110010101100⫢⨠≮⫘↔10001001111=≮⫘↔10100000","layer":3},{"info":"∂≮⫘↔1111110111=NaN","layer":3},{"info":"≮⫘↔10100000≌NaN=NaN","layer":2},{"info":"≮⫘↔1001010100001∌↝≮⫘↔1010001000101=≮⫘↔0","layer":3},{"info":"≮⫘↔1000111110110⩍⋽⫝̸≮⫘↔100101011001=≮⫘↔10110100111","layer":3},{"info":"≮⫘↔0⨚≮⫘↔10110100111=≮⫘↔-1001011110110","layer":2},{"info":"NaN∓⋝≮⫘↔-1001011110110=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1101100100∀⇚≩≮⫘↔1000011=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"⪸(↪⫪⫘($2473$⩭))↞⋁($2663$⩺⪪$1345$)⪝($6652$⨐⩸⫘$3382$)","expression":"⪸(↪⫪⫘(≮⫘↔100110101001⩭))↞⋁(≮⫘↔101001100111⩺⪪≮⫘↔10101000001)⪝(≮⫘↔1100111111100⨐⩸⫘≮⫘↔110100110110)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27141,"operation_count":7,"complexity_ratio":3877.285714285714,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2473,"base":2}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2663,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6652,"base":2},"right_expr":{"type":"numeric_atoms","value":3382,"base":2}}}}},"used_operators":["86A5ENbKR9","RqrPlJkxDo","9dWsAM3GFt","yIPP7u6H5x","wicAB68Tmb","uvdQJvN4PV","fu6greOZ01"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2473","layer":4},{"info":"compute unary expreesion, input=2473, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":2},{"info":"number node, value=2663","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=1345, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-21986","layer":3},{"info":"number node, value=6652","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=6652, right_input=3382, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21986, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪸(↪⫪⫘(≮⫘↔100110101001⩭))↞⋁(≮⫘↔101001100111⩺⪪≮⫘↔10101000001)⪝(≮⫘↔1100111111100⨐⩸⫘≮⫘↔110100110110)=NaN","reverse_text":"NaN=⪸(↪⫪⫘(≮⫘↔100110101001⩭))↞⋁(≮⫘↔101001100111⩺⪪≮⫘↔10101000001)⪝(≮⫘↔1100111111100⨐⩸⫘≮⫘↔110100110110)","cot":[{"info":"≮⫘↔100110101001⩭=NaN","layer":3},{"info":"↪⫪⫘NaN=NaN","layer":2},{"info":"≮⫘↔101001100111⩺⪪≮⫘↔10101000001=≮⫘↔-101010111100010","layer":3},{"info":"≮⫘↔1100111111100⨐⩸⫘≮⫘↔110100110110=NaN","layer":3},{"info":"≮⫘↔-101010111100010⪝NaN=NaN","layer":2},{"info":"NaN↞⋁NaN=NaN","layer":1},{"info":"⪸NaN=NaN","layer":0}]}
{"id":585,"expression_no_base_symbol":"⫟(≉(⩰$1086$∠↢$1807$))","expression":"⫟(≉(⩰≮⫘↔10000111110∠↢≮⫘↔11100001111))","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":4,"complexity_ratio":15.25,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1086,"base":2},"right_expr":{"type":"numeric_atoms","value":1807,"base":2}}}}},"used_operators":["z4E1FaHLuy","e1ybzncUwg","WkeUrDK8WX","KbjG8mgYpV"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"≮⫘↔-101001010001010110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1807, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-28560","layer":3},{"info":"compute unary expreesion, input=-28560, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=56120","layer":2},{"info":"compute unary expreesion, input=56120, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=56651","layer":1},{"info":"compute unary expreesion, input=56651, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-169046","layer":0}],"base":2,"result_base":2,"text":"⫟(≉(⩰≮⫘↔10000111110∠↢≮⫘↔11100001111))=≮⫘↔-101001010001010110","reverse_text":"≮⫘↔-101001010001010110=⫟(≉(⩰≮⫘↔10000111110∠↢≮⫘↔11100001111))","cot":[{"info":"≮⫘↔10000111110∠↢≮⫘↔11100001111=≮⫘↔-110111110010000","layer":3},{"info":"⩰≮⫘↔-110111110010000=≮⫘↔1101101100111000","layer":2},{"info":"≉≮⫘↔1101101100111000=≮⫘↔1101110101001011","layer":1},{"info":"⫟≮⫘↔1101110101001011=≮⫘↔-101001010001010110","layer":0}]}
{"id":586,"expression_no_base_symbol":"(⪫⨮⊛($2046$⫥∨⫟$1679$))∥⊢⊲(($5975$⨽⪊≇)⪨≂$2711$⋥≓≎$1455$)∘(≱⇩⩕$2468$⪒⊣⊆$6096$↼⊘⨖$1143$↓$1015$)","expression":"(⪫⨮⊛(≮⫘↔11111111110⫥∨⫟≮⫘↔11010001111))∥⊢⊲((≮⫘↔1011101010111⨽⪊≇)⪨≂≮⫘↔101010010111⋥≓≎≮⫘↔10110101111)∘(≱⇩⩕≮⫘↔100110100100⪒⊣⊆≮⫘↔1011111010000↼⊘⨖≮⫘↔10001110111↓≮⫘↔1111110111)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29895,"operation_count":11,"complexity_ratio":2717.7272727272725,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2046,"base":2},"right_expr":{"type":"numeric_atoms","value":1679,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":5975,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2711,"base":2},"right_expr":{"type":"numeric_atoms","value":1455,"base":2}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2468,"base":2},"right_expr":{"type":"numeric_atoms","value":6096,"base":2}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1143,"base":2},"right_expr":{"type":"numeric_atoms","value":1015,"base":2}}}}},"used_operators":["Z5m6OM72h2","v1UQAVDJRr","w5FWba1tyO","KYD54nUTWz","sdazOOVcIp","nlCqmYiOvY","Qy55tPpLXF","3DZMoQKiUl","bPywburJMS","eRqsBgTDFp","Af076pWI7l"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","EBcxylXtPf","rGHVDoGpnC","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≮⫘↔1010111110101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2046","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=1679, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=5975","layer":4},{"info":"compute unary expreesion, input=5975, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=11424","layer":3},{"info":"number node, value=2711","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=1455, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=232","layer":3},{"info":"compute binary expreesion, left_input=11424, right_input=232, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=22486","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22486, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=22486","layer":1},{"info":"number node, value=2468","layer":4},{"info":"number node, value=6096","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=6096, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4936","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1015, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=4936, right_input=-134, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-490","layer":2},{"info":"compute unary expreesion, input=-490, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=4040","layer":1},{"info":"compute binary expreesion, left_input=22486, right_input=4040, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=44972","layer":0}],"base":2,"result_base":2,"text":"(⪫⨮⊛(≮⫘↔11111111110⫥∨⫟≮⫘↔11010001111))∥⊢⊲((≮⫘↔1011101010111⨽⪊≇)⪨≂≮⫘↔101010010111⋥≓≎≮⫘↔10110101111)∘(≱⇩⩕≮⫘↔100110100100⪒⊣⊆≮⫘↔1011111010000↼⊘⨖≮⫘↔10001110111↓≮⫘↔1111110111)=≮⫘↔1010111110101100","reverse_text":"≮⫘↔1010111110101100=(⪫⨮⊛(≮⫘↔11111111110⫥∨⫟≮⫘↔11010001111))∥⊢⊲((≮⫘↔1011101010111⨽⪊≇)⪨≂≮⫘↔101010010111⋥≓≎≮⫘↔10110101111)∘(≱⇩⩕≮⫘↔100110100100⪒⊣⊆≮⫘↔1011111010000↼⊘⨖≮⫘↔10001110111↓≮⫘↔1111110111)","cot":[{"info":"≮⫘↔11111111110⫥∨⫟≮⫘↔11010001111=NaN","layer":3},{"info":"⪫⨮⊛NaN=NaN","layer":2},{"info":"≮⫘↔1011101010111⨽⪊≇=≮⫘↔10110010100000","layer":3},{"info":"≮⫘↔101010010111⋥≓≎≮⫘↔10110101111=≮⫘↔11101000","layer":3},{"info":"≮⫘↔10110010100000⪨≂≮⫘↔11101000=≮⫘↔101011111010110","layer":2},{"info":"NaN∥⊢⊲≮⫘↔101011111010110=≮⫘↔101011111010110","layer":1},{"info":"≮⫘↔100110100100⪒⊣⊆≮⫘↔1011111010000=≮⫘↔1001101001000","layer":3},{"info":"≮⫘↔10001110111↓≮⫘↔1111110111=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔1001101001000↼⊘⨖≮⫘↔-10000110=≮⫘↔-111101010","layer":2},{"info":"≱⇩⩕≮⫘↔-111101010=≮⫘↔111111001000","layer":1},{"info":"≮⫘↔101011111010110∘≮⫘↔111111001000=≮⫘↔1010111110101100","layer":0}]}
{"id":587,"expression_no_base_symbol":"(⫶⊄≣($1423$⫸⇳$3497$))∊∟⩊(⨆≐≲(↯⪼$4790$))≚⊃≕(($5986$∩⋅)⪚($1075$⪨≂$5981$)⋣⋖($1035$⫭)⨑⩅≇($1621$↙$3646$))","expression":"(⫶⊄≣(≮⫘↔10110001111⫸⇳≮⫘↔110110101001))∊∟⩊(⨆≐≲(↯⪼≮⫘↔1001010110110))≚⊃≕((≮⫘↔1011101100010∩⋅)⪚(≮⫘↔10000110011⪨≂≮⫘↔1011101011101)⋣⋖(≮⫘↔10000001011⫭)⨑⩅≇(≮⫘↔11001010101↙≮⫘↔111000111110))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14829,"operation_count":13,"complexity_ratio":1140.6923076923076,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1423,"base":2},"right_expr":{"type":"numeric_atoms","value":3497,"base":2}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4790,"base":2}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":5986,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":5981,"base":2}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1035,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1621,"base":2},"right_expr":{"type":"numeric_atoms","value":3646,"base":2}}}}},"used_operators":["Bmrmz2XGnR","ddLRYrp01A","wxb3vTeyAj","gx7XJ7hdpj","Bi9z9uYZqW","8jW3W4yZS5","J0M6qkBnIM","HrjLwUk87U","2MzE1hQ0cz","sdazOOVcIp","h92wMvzauj","t4WUHVGj7f","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","tmPS8pqC7x","DpFCA1CohY"],"result":"≮⫘↔-10011111010101101010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1423","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=3497, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=-1778","layer":2},{"info":"number node, value=4790","layer":4},{"info":"compute unary expreesion, input=4790, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"compute binary expreesion, left_input=-1778, right_input=-168548, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-168548","layer":1},{"info":"number node, value=5986","layer":4},{"info":"compute unary expreesion, input=5986, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-5865","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=5981","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=5981, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9710","layer":3},{"info":"compute binary expreesion, left_input=-5865, right_input=-9710, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=10854","layer":2},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=3346","layer":3},{"info":"number node, value=1621","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=3646, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10938","layer":3},{"info":"compute binary expreesion, left_input=3346, right_input=-10938, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-10038","layer":2},{"info":"compute binary expreesion, left_input=10854, right_input=-10038, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=10854","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=10854, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-652650","layer":0}],"base":2,"result_base":2,"text":"(⫶⊄≣(≮⫘↔10110001111⫸⇳≮⫘↔110110101001))∊∟⩊(⨆≐≲(↯⪼≮⫘↔1001010110110))≚⊃≕((≮⫘↔1011101100010∩⋅)⪚(≮⫘↔10000110011⪨≂≮⫘↔1011101011101)⋣⋖(≮⫘↔10000001011⫭)⨑⩅≇(≮⫘↔11001010101↙≮⫘↔111000111110))=≮⫘↔-10011111010101101010","reverse_text":"≮⫘↔-10011111010101101010=(⫶⊄≣(≮⫘↔10110001111⫸⇳≮⫘↔110110101001))∊∟⩊(⨆≐≲(↯⪼≮⫘↔1001010110110))≚⊃≕((≮⫘↔1011101100010∩⋅)⪚(≮⫘↔10000110011⪨≂≮⫘↔1011101011101)⋣⋖(≮⫘↔10000001011⫭)⨑⩅≇(≮⫘↔11001010101↙≮⫘↔111000111110))","cot":[{"info":"≮⫘↔10110001111⫸⇳≮⫘↔110110101001=≮⫘↔0","layer":3},{"info":"⫶⊄≣≮⫘↔0=≮⫘↔-11011110010","layer":2},{"info":"↯⪼≮⫘↔1001010110110=≮⫘↔-10101","layer":3},{"info":"⨆≐≲≮⫘↔-10101=≮⫘↔-101001001001100100","layer":2},{"info":"≮⫘↔-11011110010∊∟⩊≮⫘↔-101001001001100100=≮⫘↔-101001001001100100","layer":1},{"info":"≮⫘↔1011101100010∩⋅=≮⫘↔-1011011101001","layer":3},{"info":"≮⫘↔10000110011⪨≂≮⫘↔1011101011101=≮⫘↔-10010111101110","layer":3},{"info":"≮⫘↔-1011011101001⪚≮⫘↔-10010111101110=≮⫘↔10101001100110","layer":2},{"info":"≮⫘↔10000001011⫭=≮⫘↔110100010010","layer":3},{"info":"≮⫘↔11001010101↙≮⫘↔111000111110=≮⫘↔-10101010111010","layer":3},{"info":"≮⫘↔110100010010⨑⩅≇≮⫘↔-10101010111010=≮⫘↔-10011100110110","layer":2},{"info":"≮⫘↔10101001100110⋣⋖≮⫘↔-10011100110110=≮⫘↔10101001100110","layer":1},{"info":"≮⫘↔-101001001001100100≚⊃≕≮⫘↔10101001100110=≮⫘↔-10011111010101101010","layer":0}]}
{"id":588,"expression_no_base_symbol":"($2923$≌$1404$⩧⪆$1075$⨿$5466$⊋≦⊧($1905$⊋$4943$⫡⨏$5054$⫁$3439$))⪔⊥(($2018$⊕∕$6327$⇯⋐)⇼⇔∾($1384$⨉)⊢($1849$⪣⫩))","expression":"(≮⫘↔101101101011≌≮⫘↔10101111100⩧⪆≮⫘↔10000110011⨿≮⫘↔1010101011010⊋≦⊧(≮⫘↔11101110001⊋≮⫘↔1001101001111⫡⨏≮⫘↔1001110111110⫁≮⫘↔110101101111))⪔⊥((≮⫘↔11111100010⊕∕≮⫘↔1100010110111⇯⋐)⇼⇔∾(≮⫘↔10101101000⨉)⊢(≮⫘↔11100111001⪣⫩))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":9366,"operation_count":14,"complexity_ratio":669.0,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2923,"base":2},"right_expr":{"type":"numeric_atoms","value":1404,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":5466,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1905,"base":2},"right_expr":{"type":"numeric_atoms","value":4943,"base":2}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5054,"base":2},"right_expr":{"type":"numeric_atoms","value":3439,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2018,"base":2},"right_expr":{"type":"numeric_atoms","value":6327,"base":2}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1384,"base":2}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1849,"base":2}}}}},"used_operators":["HJ9erzHUuu","oRDoc9rAEX","Ikt5ks8PT7","lyWz822IDG","abYXlopdE0","QMFrweE19q","W4tP9CfskL","0ajvFaJAv0","tifHPKVTfV","LkLIoiE525","9cloC0Ngie","5twsqlHp2o","aMUSaJuDRU","iuk5sVOGFA"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eewbuw0ToL","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔-1000101100010010000011101101011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2923","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=1404, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=5466","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=5466, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=319","layer":2},{"info":"number node, value=1905","layer":4},{"info":"number node, value=4943","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=4943, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-116661100","layer":3},{"info":"number node, value=5054","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=5054, right_input=3439, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-116661100, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-583304397","layer":2},{"info":"compute binary expreesion, left_input=319, right_input=-583304397, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=1166609034","layer":1},{"info":"number node, value=2018","layer":4},{"info":"number node, value=6327","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=6327, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2018","layer":3},{"info":"compute unary expreesion, input=2018, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6932","layer":2},{"info":"number node, value=1384","layer":4},{"info":"compute unary expreesion, input=1384, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=5096","layer":3},{"info":"number node, value=1849","layer":4},{"info":"compute unary expreesion, input=1849, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=5514","layer":3},{"info":"compute binary expreesion, left_input=5096, right_input=5514, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10436","layer":2},{"info":"compute binary expreesion, left_input=6932, right_input=-10436, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-17368","layer":1},{"info":"compute binary expreesion, left_input=1166609034, right_input=-17368, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1166608235","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101101101011≌≮⫘↔10101111100⩧⪆≮⫘↔10000110011⨿≮⫘↔1010101011010⊋≦⊧(≮⫘↔11101110001⊋≮⫘↔1001101001111⫡⨏≮⫘↔1001110111110⫁≮⫘↔110101101111))⪔⊥((≮⫘↔11111100010⊕∕≮⫘↔1100010110111⇯⋐)⇼⇔∾(≮⫘↔10101101000⨉)⊢(≮⫘↔11100111001⪣⫩))=≮⫘↔-1000101100010010000011101101011","reverse_text":"≮⫘↔-1000101100010010000011101101011=(≮⫘↔101101101011≌≮⫘↔10101111100⩧⪆≮⫘↔10000110011⨿≮⫘↔1010101011010⊋≦⊧(≮⫘↔11101110001⊋≮⫘↔1001101001111⫡⨏≮⫘↔1001110111110⫁≮⫘↔110101101111))⪔⊥((≮⫘↔11111100010⊕∕≮⫘↔1100010110111⇯⋐)⇼⇔∾(≮⫘↔10101101000⨉)⊢(≮⫘↔11100111001⪣⫩))","cot":[{"info":"≮⫘↔101101101011≌≮⫘↔10101111100=NaN","layer":3},{"info":"≮⫘↔10000110011⨿≮⫘↔1010101011010=≮⫘↔-100111111","layer":3},{"info":"NaN⩧⪆≮⫘↔-100111111=≮⫘↔100111111","layer":2},{"info":"≮⫘↔11101110001⊋≮⫘↔1001101001111=≮⫘↔-110111101000001101101101100","layer":3},{"info":"≮⫘↔1001110111110⫁≮⫘↔110101101111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-110111101000001101101101100⫡⨏≮⫘↔10100000=≮⫘↔-100010110001001000010011001101","layer":2},{"info":"≮⫘↔100111111⊋≦⊧≮⫘↔-100010110001001000010011001101=≮⫘↔1000101100010010000101010001010","layer":1},{"info":"≮⫘↔11111100010⊕∕≮⫘↔1100010110111=≮⫘↔11111100010","layer":3},{"info":"≮⫘↔11111100010⇯⋐=≮⫘↔1101100010100","layer":2},{"info":"≮⫘↔10101101000⨉=≮⫘↔1001111101000","layer":3},{"info":"≮⫘↔11100111001⪣⫩=≮⫘↔1010110001010","layer":3},{"info":"≮⫘↔1001111101000⊢≮⫘↔1010110001010=≮⫘↔-10100011000100","layer":2},{"info":"≮⫘↔1101100010100⇼⇔∾≮⫘↔-10100011000100=≮⫘↔-100001111011000","layer":1},{"info":"≮⫘↔1000101100010010000101010001010⪔⊥≮⫘↔-100001111011000=≮⫘↔-1000101100010010000011101101011","layer":0}]}
{"id":589,"expression_no_base_symbol":"(($1212$⩁⩘$2595$)⊉↱≁($1373$⨚⇆$3153$)⫃⨇((⫯$1831$)∴≳≥))⊹∫⫚(($2614$↬$6065$)≝⊿($2227$↬$4800$)⫚⫇)","expression":"((≮⫘↔10010111100⩁⩘≮⫘↔101000100011)⊉↱≁(≮⫘↔10101011101⨚⇆≮⫘↔110001010001)⫃⨇((⫯≮⫘↔11100100111)∴≳≥))⊹∫⫚((≮⫘↔101000110110↬≮⫘↔1011110110001)≝⊿(≮⫘↔100010110011↬≮⫘↔1001011000000)⫚⫇)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9784,"operation_count":11,"complexity_ratio":889.4545454545455,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1212,"base":2},"right_expr":{"type":"numeric_atoms","value":2595,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1373,"base":2},"right_expr":{"type":"numeric_atoms","value":3153,"base":2}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1831,"base":2}}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2614,"base":2},"right_expr":{"type":"numeric_atoms","value":6065,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2227,"base":2},"right_expr":{"type":"numeric_atoms","value":4800,"base":2}}}}},"used_operators":["uWAJUKEvyW","09Ly4LVMIf","w2P8NbNXyL","gub5Cegaqo","lwHaAYXP2r","a3N2hFLK0J","H6BK1Evt7c","SdCjLnB6rR","OKKcZfAt5B","B5M0gjZbta"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DpFCA1CohY","IWmyXbctLI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","12rbrZMWeM","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=2595, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11328","layer":3},{"info":"number node, value=1373","layer":4},{"info":"number node, value=3153","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=3153, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11328, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"number node, value=1831","layer":4},{"info":"compute unary expreesion, input=1831, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-62114","layer":3},{"info":"compute unary expreesion, input=-62114, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-248456","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-248456, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=2614","layer":4},{"info":"number node, value=6065","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=6065, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2227","layer":4},{"info":"number node, value=4800","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=4800, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010111100⩁⩘≮⫘↔101000100011)⊉↱≁(≮⫘↔10101011101⨚⇆≮⫘↔110001010001)⫃⨇((⫯≮⫘↔11100100111)∴≳≥))⊹∫⫚((≮⫘↔101000110110↬≮⫘↔1011110110001)≝⊿(≮⫘↔100010110011↬≮⫘↔1001011000000)⫚⫇)=NaN","reverse_text":"NaN=((≮⫘↔10010111100⩁⩘≮⫘↔101000100011)⊉↱≁(≮⫘↔10101011101⨚⇆≮⫘↔110001010001)⫃⨇((⫯≮⫘↔11100100111)∴≳≥))⊹∫⫚((≮⫘↔101000110110↬≮⫘↔1011110110001)≝⊿(≮⫘↔100010110011↬≮⫘↔1001011000000)⫚⫇)","cot":[{"info":"≮⫘↔10010111100⩁⩘≮⫘↔101000100011=≮⫘↔10110001000000","layer":3},{"info":"≮⫘↔10101011101⨚⇆≮⫘↔110001010001=NaN","layer":3},{"info":"≮⫘↔10110001000000⊉↱≁NaN=NaN","layer":2},{"info":"⫯≮⫘↔11100100111=≮⫘↔-1111001010100010","layer":3},{"info":"≮⫘↔-1111001010100010∴≳≥=≮⫘↔-111100101010001000","layer":2},{"info":"NaN⫃⨇≮⫘↔-111100101010001000=NaN","layer":1},{"info":"≮⫘↔101000110110↬≮⫘↔1011110110001=NaN","layer":3},{"info":"≮⫘↔100010110011↬≮⫘↔1001011000000=NaN","layer":3},{"info":"NaN≝⊿NaN=NaN","layer":2},{"info":"NaN⫚⫇=NaN","layer":1},{"info":"NaN⊹∫⫚NaN=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"(⋠∜(($4017$+$7514$)⩘($2326$≧⫂∧$4985$)))≝⊿(($2080$⫃⨇$5829$)∥⊢⊲($1097$∌$1769$)∠↢(⋎⨆$1310$⪭$8049$))","expression":"(⋠∜((≮⫘↔111110110001+≮⫘↔1110101011010)⩘(≮⫘↔100100010110≧⫂∧≮⫘↔1001101111001)))≝⊿((≮⫘↔100000100000⫃⨇≮⫘↔1011011000101)∥⊢⊲(≮⫘↔10001001001∌≮⫘↔11011101001)∠↢(⋎⨆≮⫘↔10100011110⪭≮⫘↔1111101110001))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":202,"operation_count":11,"complexity_ratio":18.363636363636363,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4017,"base":2},"right_expr":{"type":"numeric_atoms","value":7514,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2326,"base":2},"right_expr":{"type":"numeric_atoms","value":4985,"base":2}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2080,"base":2},"right_expr":{"type":"numeric_atoms","value":5829,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1097,"base":2},"right_expr":{"type":"numeric_atoms","value":1769,"base":2}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1310,"base":2},"right_expr":{"type":"numeric_atoms","value":8049,"base":2}}}}},"used_operators":["OKKcZfAt5B","ZJpFhNJr3x","cHh1gJQ2o6","W4YGzv6Whe","Ph9nP6C5qx","KbjG8mgYpV","v1UQAVDJRr","09Ly4LVMIf","8cLx32lpNA","E64sFOc4tB","j9kHMeSvPp"],"dependent_operators":["12rbrZMWeM","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","COABgblf1C","xUOZtlo3hN"],"result":"≮⫘↔-100110100111101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4017","layer":4},{"info":"number node, value=7514","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=7514, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11531","layer":3},{"info":"number node, value=2326","layer":4},{"info":"number node, value=4985","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=4985, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4512","layer":3},{"info":"compute binary expreesion, left_input=11531, right_input=4512, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2924","layer":1},{"info":"number node, value=2080","layer":4},{"info":"number node, value=5829","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=5829, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-23348","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1769, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1769","layer":3},{"info":"compute binary expreesion, left_input=-23348, right_input=-1769, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-1769","layer":2},{"info":"number node, value=1310","layer":4},{"info":"number node, value=8049","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=8049, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1769, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=8158","layer":1},{"info":"compute binary expreesion, left_input=2924, right_input=8158, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-19773","layer":0}],"base":2,"result_base":2,"text":"(⋠∜((≮⫘↔111110110001+≮⫘↔1110101011010)⩘(≮⫘↔100100010110≧⫂∧≮⫘↔1001101111001)))≝⊿((≮⫘↔100000100000⫃⨇≮⫘↔1011011000101)∥⊢⊲(≮⫘↔10001001001∌≮⫘↔11011101001)∠↢(⋎⨆≮⫘↔10100011110⪭≮⫘↔1111101110001))=≮⫘↔-100110100111101","reverse_text":"≮⫘↔-100110100111101=(⋠∜((≮⫘↔111110110001+≮⫘↔1110101011010)⩘(≮⫘↔100100010110≧⫂∧≮⫘↔1001101111001)))≝⊿((≮⫘↔100000100000⫃⨇≮⫘↔1011011000101)∥⊢⊲(≮⫘↔10001001001∌≮⫘↔11011101001)∠↢(⋎⨆≮⫘↔10100011110⪭≮⫘↔1111101110001))","cot":[{"info":"≮⫘↔111110110001+≮⫘↔1110101011010=≮⫘↔10110100001011","layer":3},{"info":"≮⫘↔100100010110≧⫂∧≮⫘↔1001101111001=≮⫘↔1000110100000","layer":3},{"info":"≮⫘↔10110100001011⩘≮⫘↔1000110100000=≮⫘↔10100000","layer":2},{"info":"⋠∜≮⫘↔10100000=≮⫘↔101101101100","layer":1},{"info":"≮⫘↔100000100000⫃⨇≮⫘↔1011011000101=≮⫘↔-101101100110100","layer":3},{"info":"≮⫘↔10001001001∌≮⫘↔11011101001=≮⫘↔-11011101001","layer":3},{"info":"≮⫘↔-101101100110100∥⊢⊲≮⫘↔-11011101001=≮⫘↔-11011101001","layer":2},{"info":"≮⫘↔10100011110⪭≮⫘↔1111101110001=≮⫘↔101","layer":3},{"info":"⋎⨆≮⫘↔101=≮⫘↔0","layer":2},{"info":"≮⫘↔-11011101001∠↢≮⫘↔0=≮⫘↔1111111011110","layer":1},{"info":"≮⫘↔101101101100≝⊿≮⫘↔1111111011110=≮⫘↔-100110100111101","layer":0}]}
{"id":591,"expression_no_base_symbol":"($1176$⨻⩈⩔$4683$⫚↹⊑$8708$∷$2948$)≦↸(⨩∲⋌($4041$⨳⩥⨓$1022$))⪪((⇾⩊⇾(⨂⪏⇭$3256$))⋾⨃∁($2264$⩒⫫$7739$)⫞⩸⩒($1559$⇌⫙⪟$2819$))","expression":"(≮⫘↔10010011000⨻⩈⩔≮⫘↔1001001001011⫚↹⊑≮⫘↔10001000000100∷≮⫘↔101110000100)≦↸(⨩∲⋌(≮⫘↔111111001001⨳⩥⨓≮⫘↔1111111110))⪪((⇾⩊⇾(⨂⪏⇭≮⫘↔110010111000))⋾⨃∁(≮⫘↔100011011000⩒⫫≮⫘↔1111000111011)⫞⩸⩒(≮⫘↔11000010111⇌⫙⪟≮⫘↔101100000011))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3785,"operation_count":13,"complexity_ratio":291.15384615384613,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1176,"base":2},"right_expr":{"type":"numeric_atoms","value":4683,"base":2}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":8708,"base":2},"right_expr":{"type":"numeric_atoms","value":2948,"base":2}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4041,"base":2},"right_expr":{"type":"numeric_atoms","value":1022,"base":2}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3256,"base":2}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2264,"base":2},"right_expr":{"type":"numeric_atoms","value":7739,"base":2}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1559,"base":2},"right_expr":{"type":"numeric_atoms","value":2819,"base":2}}}}},"used_operators":["xD69zh8xqp","RygbFNSyEJ","dfKe02y8D2","nEsXyWgiOK","D3AQDKkPcf","aSik1wnThz","nCS4ZIUYfx","212REbPD9h","bx9Z9DAK5y","AYdpE9sXAk","XGcMNugi78","KFSx94NKJn","AFVx7xoS7T"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"≮⫘↔-101000101000010001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"number node, value=4683","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=4683, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=8708","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=8708, right_input=2948, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2948","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=2948, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=4041","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=4041, right_input=1022, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3019","layer":3},{"info":"compute unary expreesion, input=-3019, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2782","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-2782, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1128","layer":1},{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=8789","layer":3},{"info":"compute unary expreesion, input=8789, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-85587","layer":2},{"info":"number node, value=2264","layer":4},{"info":"number node, value=7739","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=7739, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1962","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=2819, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=1962, right_input=113, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-85587, right_input=113, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1128, right_input=160, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-166417","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010011000⨻⩈⩔≮⫘↔1001001001011⫚↹⊑≮⫘↔10001000000100∷≮⫘↔101110000100)≦↸(⨩∲⋌(≮⫘↔111111001001⨳⩥⨓≮⫘↔1111111110))⪪((⇾⩊⇾(⨂⪏⇭≮⫘↔110010111000))⋾⨃∁(≮⫘↔100011011000⩒⫫≮⫘↔1111000111011)⫞⩸⩒(≮⫘↔11000010111⇌⫙⪟≮⫘↔101100000011))=≮⫘↔-101000101000010001","reverse_text":"≮⫘↔-101000101000010001=(≮⫘↔10010011000⨻⩈⩔≮⫘↔1001001001011⫚↹⊑≮⫘↔10001000000100∷≮⫘↔101110000100)≦↸(⨩∲⋌(≮⫘↔111111001001⨳⩥⨓≮⫘↔1111111110))⪪((⇾⩊⇾(⨂⪏⇭≮⫘↔110010111000))⋾⨃∁(≮⫘↔100011011000⩒⫫≮⫘↔1111000111011)⫞⩸⩒(≮⫘↔11000010111⇌⫙⪟≮⫘↔101100000011))","cot":[{"info":"≮⫘↔10010011000⨻⩈⩔≮⫘↔1001001001011=≮⫘↔-10101110","layer":3},{"info":"≮⫘↔10001000000100∷≮⫘↔101110000100=≮⫘↔101110000100","layer":3},{"info":"≮⫘↔-10101110⫚↹⊑≮⫘↔101110000100=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔111111001001⨳⩥⨓≮⫘↔1111111110=≮⫘↔-101111001011","layer":3},{"info":"⨩∲⋌≮⫘↔-101111001011=≮⫘↔-101011011110","layer":2},{"info":"≮⫘↔-110111111≦↸≮⫘↔-101011011110=≮⫘↔10001101000","layer":1},{"info":"⨂⪏⇭≮⫘↔110010111000=≮⫘↔10001001010101","layer":3},{"info":"⇾⩊⇾≮⫘↔10001001010101=≮⫘↔-10100111001010011","layer":2},{"info":"≮⫘↔100011011000⩒⫫≮⫘↔1111000111011=≮⫘↔11110101010","layer":3},{"info":"≮⫘↔11000010111⇌⫙⪟≮⫘↔101100000011=≮⫘↔1110001","layer":3},{"info":"≮⫘↔11110101010⫞⩸⩒≮⫘↔1110001=≮⫘↔1110001","layer":2},{"info":"≮⫘↔-10100111001010011⋾⨃∁≮⫘↔1110001=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10001101000⪪≮⫘↔10100000=≮⫘↔-101000101000010001","layer":0}]}
{"id":592,"expression_no_base_symbol":"⪝⪂⫅((⇙⪊($1390$≚⋢))⫸⊐($4167$≦↸$1381$)≌(⇖⫷⫕$4643$))","expression":"⪝⪂⫅((⇙⪊(≮⫘↔10101101110≚⋢))⫸⊐(≮⫘↔1000001000111≦↸≮⫘↔10101100101)≌(⇖⫷⫕≮⫘↔1001000100011))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3872,"operation_count":7,"complexity_ratio":553.1428571428571,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1390,"base":2}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4167,"base":2},"right_expr":{"type":"numeric_atoms","value":1381,"base":2}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":4643,"base":2}}}}},"used_operators":["XTarYq4gQB","mqXw5SEYmG","pB6Fcnrjim","MahUMFw56D","lyWz822IDG","RygbFNSyEJ","UHmRx3INFg"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","3ViojmjbAp","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"compute unary expreesion, input=1390, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=4167","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=4167, right_input=1381, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10415","layer":3},{"info":"number node, value=4643","layer":4},{"info":"compute unary expreesion, input=4643, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-10415, right_input=2822, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⪝⪂⫅((⇙⪊(≮⫘↔10101101110≚⋢))⫸⊐(≮⫘↔1000001000111≦↸≮⫘↔10101100101)≌(⇖⫷⫕≮⫘↔1001000100011))=≮⫘↔0","reverse_text":"≮⫘↔0=⪝⪂⫅((⇙⪊(≮⫘↔10101101110≚⋢))⫸⊐(≮⫘↔1000001000111≦↸≮⫘↔10101100101)≌(⇖⫷⫕≮⫘↔1001000100011))","cot":[{"info":"≮⫘↔10101101110≚⋢=≮⫘↔-1011001","layer":3},{"info":"⇙⪊≮⫘↔-1011001=≮⫘↔0","layer":2},{"info":"≮⫘↔1000001000111≦↸≮⫘↔10101100101=≮⫘↔-10100010101111","layer":3},{"info":"⇖⫷⫕≮⫘↔1001000100011=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔-10100010101111≌≮⫘↔101100000110=NaN","layer":2},{"info":"≮⫘↔0⫸⊐NaN=≮⫘↔0","layer":1},{"info":"⪝⪂⫅≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":593,"expression_no_base_symbol":"($2311$⨂≜$3348$⩒⫫($2797$⪨≂$1189$)≥⨤⩑$2573$≌$4198$⩷∴($1965$⩷∴$1960$))⪚((⊀$1303$)≎⪠(≪$4783$)⪛⫼($2066$∪⫐$5421$)⪭≯(∷≠$3901$))","expression":"(≮⫘↔100100000111⨂≜≮⫘↔110100010100⩒⫫(≮⫘↔101011101101⪨≂≮⫘↔10010100101)≥⨤⩑≮⫘↔101000001101≌≮⫘↔1000001100110⩷∴(≮⫘↔11110101101⩷∴≮⫘↔11110101000))⪚((⊀≮⫘↔10100010111)≎⪠(≪≮⫘↔1001010101111)⪛⫼(≮⫘↔100000010010∪⫐≮⫘↔1010100101101)⪭≯(∷≠≮⫘↔111100111101))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":26559,"operation_count":15,"complexity_ratio":1770.6,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2311,"base":2},"right_expr":{"type":"numeric_atoms","value":3348,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2797,"base":2},"right_expr":{"type":"numeric_atoms","value":1189,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2573,"base":2},"right_expr":{"type":"numeric_atoms","value":4198,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1965,"base":2},"right_expr":{"type":"numeric_atoms","value":1960,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1303,"base":2}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":4783,"base":2}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2066,"base":2},"right_expr":{"type":"numeric_atoms","value":5421,"base":2}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":3901,"base":2}}}}},"used_operators":["HrjLwUk87U","gJLn6v0xnP","KFSx94NKJn","k1SHOSEABc","sdazOOVcIp","9FxExcQeMw","lyWz822IDG","hyuBjUqXlG","aNhz54LH3e","oPMjh9089D","Qtd6bqUJcN","XAx5wpdLa6","7YooWSwCyH","QiR2Oyf5Xj"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rJVOvQCfKK","2DDjHMKMc0","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2311","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=3348, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2797","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=2797, right_input=1189, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3318","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3318, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=2573","layer":4},{"info":"number node, value=4198","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=4198, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1965","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=1960, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=1303","layer":4},{"info":"compute unary expreesion, input=1303, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4950","layer":3},{"info":"number node, value=4783","layer":4},{"info":"compute unary expreesion, input=4783, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=4950, right_input=913, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=2066","layer":4},{"info":"number node, value=5421","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=5421, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2066","layer":3},{"info":"number node, value=3901","layer":4},{"info":"compute unary expreesion, input=3901, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=3901","layer":3},{"info":"compute binary expreesion, left_input=2066, right_input=3901, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100100000111⨂≜≮⫘↔110100010100⩒⫫(≮⫘↔101011101101⪨≂≮⫘↔10010100101)≥⨤⩑≮⫘↔101000001101≌≮⫘↔1000001100110⩷∴(≮⫘↔11110101101⩷∴≮⫘↔11110101000))⪚((⊀≮⫘↔10100010111)≎⪠(≪≮⫘↔1001010101111)⪛⫼(≮⫘↔100000010010∪⫐≮⫘↔1010100101101)⪭≯(∷≠≮⫘↔111100111101))=NaN","reverse_text":"NaN=(≮⫘↔100100000111⨂≜≮⫘↔110100010100⩒⫫(≮⫘↔101011101101⪨≂≮⫘↔10010100101)≥⨤⩑≮⫘↔101000001101≌≮⫘↔1000001100110⩷∴(≮⫘↔11110101101⩷∴≮⫘↔11110101000))⪚((⊀≮⫘↔10100010111)≎⪠(≪≮⫘↔1001010101111)⪛⫼(≮⫘↔100000010010∪⫐≮⫘↔1010100101101)⪭≯(∷≠≮⫘↔111100111101))","cot":[{"info":"≮⫘↔100100000111⨂≜≮⫘↔110100010100=NaN","layer":3},{"info":"≮⫘↔101011101101⪨≂≮⫘↔10010100101=≮⫘↔110011110110","layer":3},{"info":"NaN⩒⫫≮⫘↔110011110110=NaN","layer":2},{"info":"≮⫘↔101000001101≌≮⫘↔1000001100110=NaN","layer":3},{"info":"≮⫘↔11110101101⩷∴≮⫘↔11110101000=≮⫘↔-10110","layer":3},{"info":"NaN⩷∴≮⫘↔-10110=NaN","layer":2},{"info":"NaN≥⨤⩑NaN=≮⫘↔10011010010","layer":1},{"info":"⊀≮⫘↔10100010111=≮⫘↔1001101010110","layer":3},{"info":"≪≮⫘↔1001010101111=≮⫘↔1110010001","layer":3},{"info":"≮⫘↔1001101010110≎⪠≮⫘↔1110010001=≮⫘↔100110001100110","layer":2},{"info":"≮⫘↔100000010010∪⫐≮⫘↔1010100101101=≮⫘↔100000010010","layer":3},{"info":"∷≠≮⫘↔111100111101=≮⫘↔111100111101","layer":3},{"info":"≮⫘↔100000010010⪭≯≮⫘↔111100111101=NaN","layer":2},{"info":"≮⫘↔100110001100110⪛⫼NaN=NaN","layer":1},{"info":"≮⫘↔10011010010⪚NaN=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"⊤⊝(↔$1016$)⊱⇼⊻$1225$⪒⊣⊆$1887$∙∹∝(≦∁$1969$)⪟⇏($1644$≧⫂∧$3299$)","expression":"⊤⊝(↔≮⫘↔1111111000)⊱⇼⊻≮⫘↔10011001001⪒⊣⊆≮⫘↔11101011111∙∹∝(≦∁≮⫘↔11110110001)⪟⇏(≮⫘↔11001101100≧⫂∧≮⫘↔110011100011)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":56,"operation_count":8,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1016,"base":2}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1225,"base":2},"right_expr":{"type":"numeric_atoms","value":1887,"base":2}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1969,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1644,"base":2},"right_expr":{"type":"numeric_atoms","value":3299,"base":2}}}}},"used_operators":["rXAclfmB4M","HmxsFra2vL","FyVja0WsTP","ruOEQAzv1W","eRqsBgTDFp","GODebY97qR","9ICcGScMcE","Ph9nP6C5qx"],"dependent_operators":["sdazOOVcIp","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","W4YGzv6Whe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10100010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-743","layer":3},{"info":"number node, value=1225","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1887, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2450","layer":3},{"info":"compute binary expreesion, left_input=-743, right_input=2450, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=3176","layer":2},{"info":"number node, value=1969","layer":4},{"info":"compute unary expreesion, input=1969, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1969","layer":3},{"info":"number node, value=1644","layer":4},{"info":"number node, value=3299","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=3299, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2826","layer":3},{"info":"compute binary expreesion, left_input=1969, right_input=2826, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=3176, right_input=-1, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-1298","layer":0}],"base":2,"result_base":2,"text":"⊤⊝(↔≮⫘↔1111111000)⊱⇼⊻≮⫘↔10011001001⪒⊣⊆≮⫘↔11101011111∙∹∝(≦∁≮⫘↔11110110001)⪟⇏(≮⫘↔11001101100≧⫂∧≮⫘↔110011100011)=≮⫘↔-10100010010","reverse_text":"≮⫘↔-10100010010=⊤⊝(↔≮⫘↔1111111000)⊱⇼⊻≮⫘↔10011001001⪒⊣⊆≮⫘↔11101011111∙∹∝(≦∁≮⫘↔11110110001)⪟⇏(≮⫘↔11001101100≧⫂∧≮⫘↔110011100011)","cot":[{"info":"↔≮⫘↔1111111000=≮⫘↔-1011100111","layer":3},{"info":"≮⫘↔10011001001⪒⊣⊆≮⫘↔11101011111=≮⫘↔100110010010","layer":3},{"info":"≮⫘↔-1011100111⊱⇼⊻≮⫘↔100110010010=≮⫘↔110001101000","layer":2},{"info":"≦∁≮⫘↔11110110001=≮⫘↔11110110001","layer":3},{"info":"≮⫘↔11001101100≧⫂∧≮⫘↔110011100011=≮⫘↔101100001010","layer":3},{"info":"≮⫘↔11110110001⪟⇏≮⫘↔101100001010=≮⫘↔-1","layer":2},{"info":"≮⫘↔110001101000∙∹∝≮⫘↔-1=≮⫘↔0","layer":1},{"info":"⊤⊝≮⫘↔0=≮⫘↔-10100010010","layer":0}]}
{"id":595,"expression_no_base_symbol":"⫖→(≛$1782$⨼⩣$1333$)⫒⫫($2360$⨥⫆$1346$⩵∡$1424$⫰⋱$1297$)","expression":"⫖→(≛≮⫘↔11011110110⨼⩣≮⫘↔10100110101)⫒⫫(≮⫘↔100100111000⨥⫆≮⫘↔10101000010⩵∡≮⫘↔10110010000⫰⋱≮⫘↔10100010001)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":640,"operation_count":7,"complexity_ratio":91.42857142857143,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1782,"base":2},"right_expr":{"type":"numeric_atoms","value":1333,"base":2}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2360,"base":2},"right_expr":{"type":"numeric_atoms","value":1346,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1424,"base":2},"right_expr":{"type":"numeric_atoms","value":1297,"base":2}}}}},"used_operators":["U4ylXWHChL","6Ko8hGgeMq","W7eaUhjymW","JxwMv5le6e","Y7wcNGrDQJ","yXekIHxTD4","6o9Blt3TJ6"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1782","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=1333, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":2},{"info":"number node, value=2360","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=1346, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2568","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=1297, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1391","layer":3},{"info":"compute binary expreesion, left_input=2568, right_input=-1391, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6648","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6648, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":2,"result_base":2,"text":"⫖→(≛≮⫘↔11011110110⨼⩣≮⫘↔10100110101)⫒⫫(≮⫘↔100100111000⨥⫆≮⫘↔10101000010⩵∡≮⫘↔10110010000⫰⋱≮⫘↔10100010001)=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=⫖→(≛≮⫘↔11011110110⨼⩣≮⫘↔10100110101)⫒⫫(≮⫘↔100100111000⨥⫆≮⫘↔10101000010⩵∡≮⫘↔10110010000⫰⋱≮⫘↔10100010001)","cot":[{"info":"≮⫘↔11011110110⨼⩣≮⫘↔10100110101=NaN","layer":3},{"info":"≛NaN=NaN","layer":2},{"info":"≮⫘↔100100111000⨥⫆≮⫘↔10101000010=≮⫘↔101000001000","layer":3},{"info":"≮⫘↔10110010000⫰⋱≮⫘↔10100010001=≮⫘↔-10101101111","layer":3},{"info":"≮⫘↔101000001000⩵∡≮⫘↔-10101101111=≮⫘↔-1100111111000","layer":2},{"info":"NaN⫒⫫≮⫘↔-1100111111000=NaN","layer":1},{"info":"⫖→NaN=≮⫘↔10110001","layer":0}]}
{"id":596,"expression_no_base_symbol":"≱⇩⩕(($8582$≑≱⪘)≨($2123$⨑≵⋬$3868$)⇆⨓≜)","expression":"≱⇩⩕((≮⫘↔10000110000110≑≱⪘)≨(≮⫘↔100001001011⨑≵⋬≮⫘↔111100011100)⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":382,"operation_count":5,"complexity_ratio":76.4,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":8582,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2123,"base":2},"right_expr":{"type":"numeric_atoms","value":3868,"base":2}}}}},"used_operators":["3DZMoQKiUl","KvvgdUaMHJ","0KMCeP1Jsh","tGSeddj7UK","XnXgA4xnOs"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Uaa54Peajs","KYD54nUTWz","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8582","layer":4},{"info":"compute unary expreesion, input=8582, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=219497","layer":3},{"info":"number node, value=2123","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=3868, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-15082","layer":3},{"info":"compute binary expreesion, left_input=219497, right_input=-15082, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-2192494","layer":2},{"info":"compute unary expreesion, input=-2192494, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≱⇩⩕((≮⫘↔10000110000110≑≱⪘)≨(≮⫘↔100001001011⨑≵⋬≮⫘↔111100011100)⇆⨓≜)=NaN","reverse_text":"NaN=≱⇩⩕((≮⫘↔10000110000110≑≱⪘)≨(≮⫘↔100001001011⨑≵⋬≮⫘↔111100011100)⇆⨓≜)","cot":[{"info":"≮⫘↔10000110000110≑≱⪘=≮⫘↔110101100101101001","layer":3},{"info":"≮⫘↔100001001011⨑≵⋬≮⫘↔111100011100=≮⫘↔-11101011101010","layer":3},{"info":"≮⫘↔110101100101101001≨≮⫘↔-11101011101010=≮⫘↔-1000010111010001101110","layer":2},{"info":"≮⫘↔-1000010111010001101110⇆⨓≜=NaN","layer":1},{"info":"≱⇩⩕NaN=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"⨦⪝((($1473$⩢≌)∲⫓$8573$↞⋁$3083$)↱($1202$⪍↜⋙$1143$⊹≧⊝))","expression":"⨦⪝(((≮⫘↔10111000001⩢≌)∲⫓≮⫘↔10000101111101↞⋁≮⫘↔110000001011)↱(≮⫘↔10010110010⪍↜⋙≮⫘↔10001110111⊹≧⊝))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":528,"operation_count":7,"complexity_ratio":75.42857142857143,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1473,"base":2}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":8573,"base":2},"right_expr":{"type":"numeric_atoms","value":3083,"base":2}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1202,"base":2},"right_expr":{"type":"numeric_atoms","value":1143,"base":2}}}}},"used_operators":["SUjycxNXIR","SR5kFfdi6N","i8ToyICDmI","D617RFjZIq","RqrPlJkxDo","LxFB4K6j0n","L05ObWFQCd"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd","hTbEZDJLEm","o20kRiQErp","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"≮⫘↔-11101011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=8573","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=8573, right_input=3083, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1202","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=1143, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=118","layer":3},{"info":"compute unary expreesion, input=118, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-472","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-472, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=11536","layer":1},{"info":"compute unary expreesion, input=11536, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":2,"result_base":2,"text":"⨦⪝(((≮⫘↔10111000001⩢≌)∲⫓≮⫘↔10000101111101↞⋁≮⫘↔110000001011)↱(≮⫘↔10010110010⪍↜⋙≮⫘↔10001110111⊹≧⊝))=≮⫘↔-11101011100","reverse_text":"≮⫘↔-11101011100=⨦⪝(((≮⫘↔10111000001⩢≌)∲⫓≮⫘↔10000101111101↞⋁≮⫘↔110000001011)↱(≮⫘↔10010110010⪍↜⋙≮⫘↔10001110111⊹≧⊝))","cot":[{"info":"≮⫘↔10111000001⩢≌=≮⫘↔1110001","layer":3},{"info":"≮⫘↔10000101111101↞⋁≮⫘↔110000001011=NaN","layer":3},{"info":"≮⫘↔1110001∲⫓NaN=NaN","layer":2},{"info":"≮⫘↔10010110010⪍↜⋙≮⫘↔10001110111=≮⫘↔1110110","layer":3},{"info":"≮⫘↔1110110⊹≧⊝=≮⫘↔-111011000","layer":2},{"info":"NaN↱≮⫘↔-111011000=≮⫘↔10110100010000","layer":1},{"info":"⨦⪝≮⫘↔10110100010000=≮⫘↔-11101011100","layer":0}]}
{"id":598,"expression_no_base_symbol":"⊀(($2817$⇉⇱⇎)⋅⇍$3308$⪨⊡$1376$)⊕∕(⊈($6088$⫚↹⊑$6574$))","expression":"⊀((≮⫘↔101100000001⇉⇱⇎)⋅⇍≮⫘↔110011101100⪨⊡≮⫘↔10101100000)⊕∕(⊈(≮⫘↔1011111001000⫚↹⊑≮⫘↔1100110101110))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":90,"operation_count":7,"complexity_ratio":12.857142857142858,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":2817,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3308,"base":2},"right_expr":{"type":"numeric_atoms","value":1376,"base":2}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6088,"base":2},"right_expr":{"type":"numeric_atoms","value":6574,"base":2}}}}},"used_operators":["oPMjh9089D","9cloC0Ngie","AdZkA7nFnk","MRPaB8lBjK","kuIXHzHcAH","RHru8klgy8","dfKe02y8D2"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","12rbrZMWeM","xUOZtlo3hN","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≮⫘↔-101011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2817","layer":4},{"info":"compute unary expreesion, input=2817, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-2599","layer":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=1376, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2599, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=6088","layer":4},{"info":"number node, value=6574","layer":4},{"info":"compute binary expreesion, left_input=6088, right_input=6574, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=273","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=273, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=-350","layer":0}],"base":2,"result_base":2,"text":"⊀((≮⫘↔101100000001⇉⇱⇎)⋅⇍≮⫘↔110011101100⪨⊡≮⫘↔10101100000)⊕∕(⊈(≮⫘↔1011111001000⫚↹⊑≮⫘↔1100110101110))=≮⫘↔-101011110","reverse_text":"≮⫘↔-101011110=⊀((≮⫘↔101100000001⇉⇱⇎)⋅⇍≮⫘↔110011101100⪨⊡≮⫘↔10101100000)⊕∕(⊈(≮⫘↔1011111001000⫚↹⊑≮⫘↔1100110101110))","cot":[{"info":"≮⫘↔101100000001⇉⇱⇎=≮⫘↔-101000100111","layer":3},{"info":"≮⫘↔110011101100⪨⊡≮⫘↔10101100000=≮⫘↔0","layer":3},{"info":"≮⫘↔-101000100111⋅⇍≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"≮⫘↔1011111001000⫚↹⊑≮⫘↔1100110101110=≮⫘↔-110111111","layer":3},{"info":"⊈≮⫘↔-110111111=≮⫘↔100010001","layer":2},{"info":"≮⫘↔-10110⊕∕≮⫘↔100010001=≮⫘↔-10110","layer":1},{"info":"⊀≮⫘↔-10110=≮⫘↔-101011110","layer":0}]}
{"id":599,"expression_no_base_symbol":"(⇙⪊($1465$↓$1527$)≦↸($4488$∣$1083$))⨑≵⋬(($4569$⫢⨠$1798$⫲)⪓⨏)","expression":"(⇙⪊(≮⫘↔10110111001↓≮⫘↔10111110111)≦↸(≮⫘↔1000110001000∣≮⫘↔10000111011))⨑≵⋬((≮⫘↔1000111011001⫢⨠≮⫘↔11100000110⫲)⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22073,"operation_count":8,"complexity_ratio":2759.125,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1465,"base":2},"right_expr":{"type":"numeric_atoms","value":1527,"base":2}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4488,"base":2},"right_expr":{"type":"numeric_atoms","value":1083,"base":2}}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4569,"base":2},"right_expr":{"type":"numeric_atoms","value":1798,"base":2}}}}},"used_operators":["XnXgA4xnOs","pB6Fcnrjim","RygbFNSyEJ","Af076pWI7l","PPChnnnBFF","4X9JU4Jbn6","9xnGDUPbC6","xlXykHWxX1"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1465","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1527, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=4488","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=4488, right_input=1083, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4488","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=4488, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8027","layer":2},{"info":"compute unary expreesion, input=-8027, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=4569","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=4569, right_input=1798, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇙⪊(≮⫘↔10110111001↓≮⫘↔10111110111)≦↸(≮⫘↔1000110001000∣≮⫘↔10000111011))⨑≵⋬((≮⫘↔1000111011001⫢⨠≮⫘↔11100000110⫲)⪓⨏)=NaN","reverse_text":"NaN=(⇙⪊(≮⫘↔10110111001↓≮⫘↔10111110111)≦↸(≮⫘↔1000110001000∣≮⫘↔10000111011))⨑≵⋬((≮⫘↔1000111011001⫢⨠≮⫘↔11100000110⫲)⪓⨏)","cot":[{"info":"≮⫘↔10110111001↓≮⫘↔10111110111=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔1000110001000∣≮⫘↔10000111011=≮⫘↔1000110001000","layer":3},{"info":"≮⫘↔-10000110≦↸≮⫘↔1000110001000=≮⫘↔-1111101011011","layer":2},{"info":"⇙⪊≮⫘↔-1111101011011=≮⫘↔0","layer":1},{"info":"≮⫘↔1000111011001⫢⨠≮⫘↔11100000110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⫲=≮⫘↔-1110001","layer":2},{"info":"≮⫘↔-1110001⪓⨏=NaN","layer":1},{"info":"≮⫘↔0⨑≵⋬NaN=NaN","layer":0}]}
{"id":600,"expression_no_base_symbol":"((($1498$⩨$2868$)⊝)⊾⪯⋞$2239$⪮%⊝$8198$⪉⨛($2321$∷))↓((⊵⊁$2180$)⩁⩘(⩦⊞$1025$)⩨(⫎≠⋺$1587$)↢($2421$∙∹∝$1013$))","expression":"(((≮⫘↔10111011010⩨≮⫘↔101100110100)⊝)⊾⪯⋞≮⫘↔100010111111⪮%⊝≮⫘↔10000000000110⪉⨛(≮⫘↔100100010001∷))↓((⊵⊁≮⫘↔100010000100)⩁⩘(⩦⊞≮⫘↔10000000001)⩨(⫎≠⋺≮⫘↔11000110011)↢(≮⫘↔100101110101∙∹∝≮⫘↔1111110101))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":471,"operation_count":14,"complexity_ratio":33.642857142857146,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1498,"base":2},"right_expr":{"type":"numeric_atoms","value":2868,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2239,"base":2},"right_expr":{"type":"numeric_atoms","value":8198,"base":2}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":2321,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2180,"base":2}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1025,"base":2}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1587,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2421,"base":2},"right_expr":{"type":"numeric_atoms","value":1013,"base":2}}}}},"used_operators":["Af076pWI7l","HK0tfVPux8","O6EZ0fifGK","2DlMacCsIx","EWw2JM7wp4","IWmyXbctLI","nFAOW8KTqp","gub5Cegaqo","AvED76WdY7","u7fv1HBiaC","WR6HLWljOP","LYeZOJ0nQG","HmxsFra2vL"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","DpFCA1CohY","IWmyXbctLI","uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"≮⫘↔-11110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1498","layer":4},{"info":"number node, value=2868","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=2868, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-3","layer":2},{"info":"number node, value=2239","layer":4},{"info":"number node, value=8198","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=8198, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4794","layer":3},{"info":"number node, value=2321","layer":4},{"info":"compute unary expreesion, input=2321, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=6963","layer":3},{"info":"compute binary expreesion, left_input=4794, right_input=6963, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7634","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=7634, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=14842","layer":1},{"info":"number node, value=2180","layer":4},{"info":"compute unary expreesion, input=2180, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=12010","layer":3},{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-752","layer":3},{"info":"compute binary expreesion, left_input=12010, right_input=-752, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-2060","layer":2},{"info":"number node, value=1587","layer":4},{"info":"compute unary expreesion, input=1587, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=2421","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=1013, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=-2060, right_input=-484, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=14842, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10111011010⩨≮⫘↔101100110100)⊝)⊾⪯⋞≮⫘↔100010111111⪮%⊝≮⫘↔10000000000110⪉⨛(≮⫘↔100100010001∷))↓((⊵⊁≮⫘↔100010000100)⩁⩘(⩦⊞≮⫘↔10000000001)⩨(⫎≠⋺≮⫘↔11000110011)↢(≮⫘↔100101110101∙∹∝≮⫘↔1111110101))=≮⫘↔-11110010","reverse_text":"≮⫘↔-11110010=(((≮⫘↔10111011010⩨≮⫘↔101100110100)⊝)⊾⪯⋞≮⫘↔100010111111⪮%⊝≮⫘↔10000000000110⪉⨛(≮⫘↔100100010001∷))↓((⊵⊁≮⫘↔100010000100)⩁⩘(⩦⊞≮⫘↔10000000001)⩨(⫎≠⋺≮⫘↔11000110011)↢(≮⫘↔100101110101∙∹∝≮⫘↔1111110101))","cot":[{"info":"≮⫘↔10111011010⩨≮⫘↔101100110100=≮⫘↔-11","layer":3},{"info":"≮⫘↔-11⊝=≮⫘↔-11","layer":2},{"info":"≮⫘↔100010111111⪮%⊝≮⫘↔10000000000110=≮⫘↔1001010111010","layer":3},{"info":"≮⫘↔100100010001∷=≮⫘↔1101100110011","layer":3},{"info":"≮⫘↔1001010111010⪉⨛≮⫘↔1101100110011=≮⫘↔1110111010010","layer":2},{"info":"≮⫘↔-11⊾⪯⋞≮⫘↔1110111010010=≮⫘↔11100111111010","layer":1},{"info":"⊵⊁≮⫘↔100010000100=≮⫘↔10111011101010","layer":3},{"info":"⩦⊞≮⫘↔10000000001=≮⫘↔-1011110000","layer":3},{"info":"≮⫘↔10111011101010⩁⩘≮⫘↔-1011110000=≮⫘↔-100000001100","layer":2},{"info":"⫎≠⋺≮⫘↔11000110011=≮⫘↔0","layer":3},{"info":"≮⫘↔100101110101∙∹∝≮⫘↔1111110101=≮⫘↔0","layer":3},{"info":"≮⫘↔0↢≮⫘↔0=≮⫘↔-111100100","layer":2},{"info":"≮⫘↔-100000001100⩨≮⫘↔-111100100=≮⫘↔0","layer":1},{"info":"≮⫘↔11100111111010↓≮⫘↔0=≮⫘↔-11110010","layer":0}]}
{"id":601,"expression_no_base_symbol":"((↩⪖(⊥$1322$))↸(⇵⪽($4532$⩷∴$1304$)))⇪⋭","expression":"((↩⪖(⊥≮⫘↔10100101010))↸(⇵⪽(≮⫘↔1000110110100⩷∴≮⫘↔10100011000)))⇪⋭","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":54,"operation_count":6,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1322,"base":2}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4532,"base":2},"right_expr":{"type":"numeric_atoms","value":1304,"base":2}}}}},"used_operators":["Z8Yg6dlDSp","1eCjFl0mb9","fG6uBQFnGz","Q3PJZHRvZv","ZGCBLdVRRX","9FxExcQeMw"],"dependent_operators":["T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","fu6greOZ01","U7g4x0WXJJ","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":2},{"info":"number node, value=4532","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=4532, right_input=1304, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6424","layer":3},{"info":"compute unary expreesion, input=6424, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↩⪖(⊥≮⫘↔10100101010))↸(⇵⪽(≮⫘↔1000110110100⩷∴≮⫘↔10100011000)))⇪⋭=NaN","reverse_text":"NaN=((↩⪖(⊥≮⫘↔10100101010))↸(⇵⪽(≮⫘↔1000110110100⩷∴≮⫘↔10100011000)))⇪⋭","cot":[{"info":"⊥≮⫘↔10100101010=NaN","layer":3},{"info":"↩⪖NaN=NaN","layer":2},{"info":"≮⫘↔1000110110100⩷∴≮⫘↔10100011000=≮⫘↔1100100011000","layer":3},{"info":"⇵⪽≮⫘↔1100100011000=NaN","layer":2},{"info":"NaN↸NaN=NaN","layer":1},{"info":"NaN⇪⋭=NaN","layer":0}]}
{"id":602,"expression_no_base_symbol":"(⨩∲⋌(↥≼⋛$3695$⋹⋡⊁$1235$))⨭⪣((⋠∜$1517$)⪔(≸$1124$)⨵⪆($3213$⨱∎)∋($1166$⩚⊴⇥$8532$))","expression":"(⨩∲⋌(↥≼⋛≮⫘↔111001101111⋹⋡⊁≮⫘↔10011010011))⨭⪣((⋠∜≮⫘↔10111101101)⪔(≸≮⫘↔10001100100)⨵⪆(≮⫘↔110010001101⨱∎)∋(≮⫘↔10010001110⩚⊴⇥≮⫘↔10000101010100))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":63012,"operation_count":11,"complexity_ratio":5728.363636363636,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3695,"base":2},"right_expr":{"type":"numeric_atoms","value":1235,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1517,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1124,"base":2}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":3213,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1166,"base":2},"right_expr":{"type":"numeric_atoms","value":8532,"base":2}}}}},"used_operators":["kn8WO9XteQ","aSik1wnThz","x5lMkHmzsq","As8RqfVLgs","2DQ55sFlQl","GjBEYRfMaF","ZJpFhNJr3x","eOf03JbCpp","ukq6epAj5P","MmTdOpaElr","NTOWxs364D"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔-110111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3695","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=1235, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1985","layer":3},{"info":"compute unary expreesion, input=1985, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=124","layer":1},{"info":"number node, value=1517","layer":4},{"info":"compute unary expreesion, input=1517, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=8352","layer":3},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=8352, right_input=58, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=3213","layer":4},{"info":"compute unary expreesion, input=3213, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=8532","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=8532, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9819","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9819, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54624","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-54624, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=124, right_input=160, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-446","layer":0}],"base":2,"result_base":2,"text":"(⨩∲⋌(↥≼⋛≮⫘↔111001101111⋹⋡⊁≮⫘↔10011010011))⨭⪣((⋠∜≮⫘↔10111101101)⪔(≸≮⫘↔10001100100)⨵⪆(≮⫘↔110010001101⨱∎)∋(≮⫘↔10010001110⩚⊴⇥≮⫘↔10000101010100))=≮⫘↔-110111110","reverse_text":"≮⫘↔-110111110=(⨩∲⋌(↥≼⋛≮⫘↔111001101111⋹⋡⊁≮⫘↔10011010011))⨭⪣((⋠∜≮⫘↔10111101101)⪔(≸≮⫘↔10001100100)⨵⪆(≮⫘↔110010001101⨱∎)∋(≮⫘↔10010001110⩚⊴⇥≮⫘↔10000101010100))","cot":[{"info":"≮⫘↔111001101111⋹⋡⊁≮⫘↔10011010011=≮⫘↔11111000001","layer":3},{"info":"↥≼⋛≮⫘↔11111000001=≮⫘↔-1110001","layer":2},{"info":"⨩∲⋌≮⫘↔-1110001=≮⫘↔1111100","layer":1},{"info":"⋠∜≮⫘↔10111101101=≮⫘↔10000010100000","layer":3},{"info":"≸≮⫘↔10001100100=≮⫘↔111010","layer":3},{"info":"≮⫘↔10000010100000⪔≮⫘↔111010=≮⫘↔111000010","layer":2},{"info":"≮⫘↔110010001101⨱∎=≮⫘↔0","layer":3},{"info":"≮⫘↔10010001110⩚⊴⇥≮⫘↔10000101010100=≮⫘↔-10011001011011","layer":3},{"info":"≮⫘↔0∋≮⫘↔-10011001011011=≮⫘↔-1101010101100000","layer":2},{"info":"≮⫘↔111000010⨵⪆≮⫘↔-1101010101100000=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1111100⨭⪣≮⫘↔10100000=≮⫘↔-110111110","layer":0}]}
{"id":603,"expression_no_base_symbol":"((⇜($3196$⊨$1044$))∀⋜↑)⨹","expression":"((⇜(≮⫘↔110001111100⊨≮⫘↔10000010100))∀⋜↑)⨹","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3550,"operation_count":4,"complexity_ratio":887.5,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3196,"base":2},"right_expr":{"type":"numeric_atoms","value":1044,"base":2}}}}},"used_operators":["UnCoSGIALn","KipPnG1M2J","lFBm8KRb8F","vg4gO5BX6G"],"dependent_operators":["mp7IySMOzn","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3196","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=1044, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=13815","layer":3},{"info":"compute unary expreesion, input=13815, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-110928","layer":2},{"info":"compute unary expreesion, input=-110928, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-333268","layer":1},{"info":"compute unary expreesion, input=-333268, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇜(≮⫘↔110001111100⊨≮⫘↔10000010100))∀⋜↑)⨹=NaN","reverse_text":"NaN=((⇜(≮⫘↔110001111100⊨≮⫘↔10000010100))∀⋜↑)⨹","cot":[{"info":"≮⫘↔110001111100⊨≮⫘↔10000010100=≮⫘↔11010111110111","layer":3},{"info":"⇜≮⫘↔11010111110111=≮⫘↔-11011000101010000","layer":2},{"info":"≮⫘↔-11011000101010000∀⋜↑=≮⫘↔-1010001010111010100","layer":1},{"info":"≮⫘↔-1010001010111010100⨹=NaN","layer":0}]}
{"id":604,"expression_no_base_symbol":"((⩦⩻⨪$2225$)⩭)⩚⊴⇥($5414$⪗)⊬⨰($1215$⪪$1522$)⊍⩺⋍(⨰⫟⨤$3534$)⪛(⊥$1007$)⩇∃⫛($3209$⫸⇳$1811$∙∹∝(⇨$6473$))","expression":"((⩦⩻⨪≮⫘↔100010110001)⩭)⩚⊴⇥(≮⫘↔1010100100110⪗)⊬⨰(≮⫘↔10010111111⪪≮⫘↔10111110010)⊍⩺⋍(⨰⫟⨤≮⫘↔110111001110)⪛(⊥≮⫘↔1111101111)⩇∃⫛(≮⫘↔110010001001⫸⇳≮⫘↔11100010011∙∹∝(⇨≮⫘↔1100101001001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":49874,"operation_count":14,"complexity_ratio":3562.4285714285716,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2225,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":5414,"base":2}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1215,"base":2},"right_expr":{"type":"numeric_atoms","value":1522,"base":2}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3534,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1007,"base":2}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3209,"base":2},"right_expr":{"type":"numeric_atoms","value":1811,"base":2}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":6473,"base":2}}}}},"used_operators":["OXDGMFPWZM","NTOWxs364D","yIPP7u6H5x","2td37pGCOC","s3Fd5m9Dh2","VEQNXA0ZBg","xD69zh8xqp","1aApVXNlOP","uFcxV4UQCh","Tw270M8GLb","Q3PJZHRvZv","HmxsFra2vL","gx7XJ7hdpj","G9tJMlZ94a"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","dWAJyo7jo9","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","fu6greOZ01","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2225","layer":4},{"info":"compute unary expreesion, input=2225, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2225","layer":3},{"info":"compute unary expreesion, input=2225, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"number node, value=5414","layer":4},{"info":"compute unary expreesion, input=5414, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1215","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=1522, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-179554","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-179554, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3534","layer":4},{"info":"compute unary expreesion, input=3534, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=3209","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=1811, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=6473","layer":4},{"info":"compute unary expreesion, input=6473, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⩦⩻⨪≮⫘↔100010110001)⩭)⩚⊴⇥(≮⫘↔1010100100110⪗)⊬⨰(≮⫘↔10010111111⪪≮⫘↔10111110010)⊍⩺⋍(⨰⫟⨤≮⫘↔110111001110)⪛(⊥≮⫘↔1111101111)⩇∃⫛(≮⫘↔110010001001⫸⇳≮⫘↔11100010011∙∹∝(⇨≮⫘↔1100101001001))=NaN","reverse_text":"NaN=((⩦⩻⨪≮⫘↔100010110001)⩭)⩚⊴⇥(≮⫘↔1010100100110⪗)⊬⨰(≮⫘↔10010111111⪪≮⫘↔10111110010)⊍⩺⋍(⨰⫟⨤≮⫘↔110111001110)⪛(⊥≮⫘↔1111101111)⩇∃⫛(≮⫘↔110010001001⫸⇳≮⫘↔11100010011∙∹∝(⇨≮⫘↔1100101001001))","cot":[{"info":"⩦⩻⨪≮⫘↔100010110001=≮⫘↔100010110001","layer":3},{"info":"≮⫘↔100010110001⩭=NaN","layer":2},{"info":"≮⫘↔1010100100110⪗=NaN","layer":3},{"info":"≮⫘↔10010111111⪪≮⫘↔10111110010=≮⫘↔-101011110101100010","layer":3},{"info":"NaN⊬⨰≮⫘↔-101011110101100010=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⨰⫟⨤≮⫘↔110111001110=NaN","layer":3},{"info":"⊥≮⫘↔1111101111=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"≮⫘↔110010001001⫸⇳≮⫘↔11100010011=≮⫘↔0","layer":3},{"info":"⇨≮⫘↔1100101001001=≮⫘↔0","layer":3},{"info":"≮⫘↔0∙∹∝≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⩇∃⫛≮⫘↔0=NaN","layer":1},{"info":"NaN⊍⩺⋍NaN=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"(($1990$∪⫐$2255$)⨽⪊≇)⪥($1513$⊝⪿⪼$4749$⊦⊿)⩘(($1055$≀⫉$3497$)⩌⋺($4792$⪒$5148$)≬⋮((∂$8791$)⪷))","expression":"((≮⫘↔11111000110∪⫐≮⫘↔100011001111)⨽⪊≇)⪥(≮⫘↔10111101001⊝⪿⪼≮⫘↔1001010001101⊦⊿)⩘((≮⫘↔10000011111≀⫉≮⫘↔110110101001)⩌⋺(≮⫘↔1001010111000⪒≮⫘↔1010000011100)≬⋮((∂≮⫘↔10001001010111)⪷))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":350,"operation_count":12,"complexity_ratio":29.166666666666668,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1990,"base":2},"right_expr":{"type":"numeric_atoms","value":2255,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1513,"base":2},"right_expr":{"type":"numeric_atoms","value":4749,"base":2}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1055,"base":2},"right_expr":{"type":"numeric_atoms","value":3497,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4792,"base":2},"right_expr":{"type":"numeric_atoms","value":5148,"base":2}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8791,"base":2}}}}},"used_operators":["cHh1gJQ2o6","QbnwKVWMIQ","nlCqmYiOvY","7YooWSwCyH","14qkJME0vr","3Oe9XWJUTD","kbkesczE7y","g7Hmc5v1ko","oZj3VtZNQx","f6k1SAg4EE","Qctrpi3WzA","Uaa54Peajs"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd","Nsiff2A1zJ","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1990","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=1990, right_input=2255, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1990","layer":3},{"info":"compute unary expreesion, input=1990, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=3454","layer":2},{"info":"number node, value=1513","layer":4},{"info":"number node, value=4749","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=4749, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=32627","layer":3},{"info":"compute unary expreesion, input=32627, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-97960","layer":2},{"info":"compute binary expreesion, left_input=3454, right_input=-97960, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"number node, value=1055","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=3497, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4792","layer":4},{"info":"number node, value=5148","layer":4},{"info":"compute binary expreesion, left_input=4792, right_input=5148, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9940","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-9940, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=6997","layer":2},{"info":"number node, value=8791","layer":4},{"info":"compute unary expreesion, input=8791, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6997, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11111000110∪⫐≮⫘↔100011001111)⨽⪊≇)⪥(≮⫘↔10111101001⊝⪿⪼≮⫘↔1001010001101⊦⊿)⩘((≮⫘↔10000011111≀⫉≮⫘↔110110101001)⩌⋺(≮⫘↔1001010111000⪒≮⫘↔1010000011100)≬⋮((∂≮⫘↔10001001010111)⪷))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((≮⫘↔11111000110∪⫐≮⫘↔100011001111)⨽⪊≇)⪥(≮⫘↔10111101001⊝⪿⪼≮⫘↔1001010001101⊦⊿)⩘((≮⫘↔10000011111≀⫉≮⫘↔110110101001)⩌⋺(≮⫘↔1001010111000⪒≮⫘↔1010000011100)≬⋮((∂≮⫘↔10001001010111)⪷))","cot":[{"info":"≮⫘↔11111000110∪⫐≮⫘↔100011001111=≮⫘↔11111000110","layer":3},{"info":"≮⫘↔11111000110⨽⪊≇=≮⫘↔110101111110","layer":2},{"info":"≮⫘↔10111101001⊝⪿⪼≮⫘↔1001010001101=≮⫘↔111111101110011","layer":3},{"info":"≮⫘↔111111101110011⊦⊿=≮⫘↔-10111111010101000","layer":2},{"info":"≮⫘↔110101111110⪥≮⫘↔-10111111010101000=≮⫘↔-1110100","layer":1},{"info":"≮⫘↔10000011111≀⫉≮⫘↔110110101001=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔1001010111000⪒≮⫘↔1010000011100=≮⫘↔-10011011010100","layer":3},{"info":"≮⫘↔101100000110⩌⋺≮⫘↔-10011011010100=≮⫘↔1101101010101","layer":2},{"info":"∂≮⫘↔10001001010111=NaN","layer":3},{"info":"NaN⪷=NaN","layer":2},{"info":"≮⫘↔1101101010101≬⋮NaN=NaN","layer":1},{"info":"≮⫘↔-1110100⩘NaN=≮⫘↔10100000","layer":0}]}
{"id":606,"expression_no_base_symbol":"((($5126$⊹≧⊝)⪛($2471$⇼⇔∾$7099$))→⨶⪴($1688$+$4267$)∇⊂⋱(↯⪼$4846$))⨌↪","expression":"(((≮⫘↔1010000000110⊹≧⊝)⪛(≮⫘↔100110100111⇼⇔∾≮⫘↔1101110111011))→⨶⪴(≮⫘↔11010011000+≮⫘↔1000010101011)∇⊂⋱(↯⪼≮⫘↔1001011101110))⨌↪","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":90,"operation_count":8,"complexity_ratio":11.25,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":5126,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2471,"base":2},"right_expr":{"type":"numeric_atoms","value":7099,"base":2}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1688,"base":2},"right_expr":{"type":"numeric_atoms","value":4267,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4846,"base":2}}}}},"used_operators":["cWQsF5MvuD","bF6eod5Gvf","uFcxV4UQCh","LxFB4K6j0n","tifHPKVTfV","nhYeJWJD5X","W4YGzv6Whe","8jW3W4yZS5"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"≮⫘↔-111100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5126","layer":4},{"info":"compute unary expreesion, input=5126, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-20504","layer":3},{"info":"number node, value=2471","layer":4},{"info":"number node, value=7099","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=7099, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4628","layer":3},{"info":"compute binary expreesion, left_input=-20504, right_input=4628, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2636","layer":2},{"info":"number node, value=1688","layer":4},{"info":"number node, value=4267","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=4267, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5955","layer":3},{"info":"number node, value=4846","layer":4},{"info":"compute unary expreesion, input=4846, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=5955, right_input=-21, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11364","layer":2},{"info":"compute binary expreesion, left_input=2636, right_input=11364, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-34092","layer":1},{"info":"compute unary expreesion, input=-34092, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1010000000110⊹≧⊝)⪛(≮⫘↔100110100111⇼⇔∾≮⫘↔1101110111011))→⨶⪴(≮⫘↔11010011000+≮⫘↔1000010101011)∇⊂⋱(↯⪼≮⫘↔1001011101110))⨌↪=≮⫘↔-111100000","reverse_text":"≮⫘↔-111100000=(((≮⫘↔1010000000110⊹≧⊝)⪛(≮⫘↔100110100111⇼⇔∾≮⫘↔1101110111011))→⨶⪴(≮⫘↔11010011000+≮⫘↔1000010101011)∇⊂⋱(↯⪼≮⫘↔1001011101110))⨌↪","cot":[{"info":"≮⫘↔1010000000110⊹≧⊝=≮⫘↔-101000000011000","layer":3},{"info":"≮⫘↔100110100111⇼⇔∾≮⫘↔1101110111011=≮⫘↔1001000010100","layer":3},{"info":"≮⫘↔-101000000011000⪛≮⫘↔1001000010100=≮⫘↔101001001100","layer":2},{"info":"≮⫘↔11010011000+≮⫘↔1000010101011=≮⫘↔1011101000011","layer":3},{"info":"↯⪼≮⫘↔1001011101110=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1011101000011∇⊂⋱≮⫘↔-10101=≮⫘↔10110001100100","layer":2},{"info":"≮⫘↔101001001100→⨶⪴≮⫘↔10110001100100=≮⫘↔-1000010100101100","layer":1},{"info":"≮⫘↔-1000010100101100⨌↪=≮⫘↔-111100000","layer":0}]}
{"id":607,"expression_no_base_symbol":"(($5328$≠≀$2334$)⩼⇪↪(⇖⫷⫕$4707$)≬⋮($5580$⪠⩆⊳)⪥(⨛$1083$))⨀⨒","expression":"((≮⫘↔1010011010000≠≀≮⫘↔100100011110)⩼⇪↪(⇖⫷⫕≮⫘↔1001001100011)≬⋮(≮⫘↔1010111001100⪠⩆⊳)⪥(⨛≮⫘↔10000111011))⨀⨒","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":957,"operation_count":8,"complexity_ratio":119.625,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5328,"base":2},"right_expr":{"type":"numeric_atoms","value":2334,"base":2}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":4707,"base":2}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5580,"base":2}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1083,"base":2}}}}},"used_operators":["j6NVkjMzuk","kbkesczE7y","ocnLzx9CaJ","IwW236VD4Y","UHmRx3INFg","QbnwKVWMIQ","JLbD19bQDL","CoMdbyAt7R"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"≮⫘↔10001010110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5328","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=5328, right_input=2334, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-10350","layer":3},{"info":"number node, value=4707","layer":4},{"info":"compute unary expreesion, input=4707, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-10350, right_input=2822, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-41237","layer":2},{"info":"number node, value=5580","layer":4},{"info":"compute unary expreesion, input=5580, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4652","layer":2},{"info":"compute binary expreesion, left_input=-41237, right_input=4652, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=8884","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010011010000≠≀≮⫘↔100100011110)⩼⇪↪(⇖⫷⫕≮⫘↔1001001100011)≬⋮(≮⫘↔1010111001100⪠⩆⊳)⪥(⨛≮⫘↔10000111011))⨀⨒=≮⫘↔10001010110100","reverse_text":"≮⫘↔10001010110100=((≮⫘↔1010011010000≠≀≮⫘↔100100011110)⩼⇪↪(⇖⫷⫕≮⫘↔1001001100011)≬⋮(≮⫘↔1010111001100⪠⩆⊳)⪥(⨛≮⫘↔10000111011))⨀⨒","cot":[{"info":"≮⫘↔1010011010000≠≀≮⫘↔100100011110=≮⫘↔-10100001101110","layer":3},{"info":"⇖⫷⫕≮⫘↔1001001100011=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔-10100001101110⩼⇪↪≮⫘↔101100000110=≮⫘↔-1010000100010101","layer":2},{"info":"≮⫘↔1010111001100⪠⩆⊳=≮⫘↔0","layer":3},{"info":"⨛≮⫘↔10000111011=NaN","layer":3},{"info":"≮⫘↔0⪥NaN=≮⫘↔1001000101100","layer":2},{"info":"≮⫘↔-1010000100010101≬⋮≮⫘↔1001000101100=≮⫘↔1101100100","layer":1},{"info":"≮⫘↔1101100100⨀⨒=≮⫘↔10001010110100","layer":0}]}
{"id":608,"expression_no_base_symbol":"⇠((⨵≀≌$2337$⪛⫼$1015$)⋣⋖(⋎⨆$3095$⨐⩸⫘$2049$))","expression":"⇠((⨵≀≌≮⫘↔100100100001⪛⫼≮⫘↔1111110111)⋣⋖(⋎⨆≮⫘↔110000010111⨐⩸⫘≮⫘↔100000000001))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":379,"operation_count":6,"complexity_ratio":63.166666666666664,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2337,"base":2},"right_expr":{"type":"numeric_atoms","value":1015,"base":2}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3095,"base":2},"right_expr":{"type":"numeric_atoms","value":2049,"base":2}}}}},"used_operators":["18saOjeKKm","J0M6qkBnIM","srAu1WTS94","hyuBjUqXlG","E64sFOc4tB","fu6greOZ01"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","3ViojmjbAp"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2337","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=1015, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-2904","layer":2},{"info":"number node, value=3095","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=3095, right_input=2049, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-2904, right_input=8320752, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-2904","layer":1},{"info":"compute unary expreesion, input=-2904, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⇠((⨵≀≌≮⫘↔100100100001⪛⫼≮⫘↔1111110111)⋣⋖(⋎⨆≮⫘↔110000010111⨐⩸⫘≮⫘↔100000000001))=≮⫘↔0","reverse_text":"≮⫘↔0=⇠((⨵≀≌≮⫘↔100100100001⪛⫼≮⫘↔1111110111)⋣⋖(⋎⨆≮⫘↔110000010111⨐⩸⫘≮⫘↔100000000001))","cot":[{"info":"≮⫘↔100100100001⪛⫼≮⫘↔1111110111=≮⫘↔1111001000","layer":3},{"info":"⨵≀≌≮⫘↔1111001000=≮⫘↔-101101011000","layer":2},{"info":"≮⫘↔110000010111⨐⩸⫘≮⫘↔100000000001=NaN","layer":3},{"info":"⋎⨆NaN=≮⫘↔11111101111011011110000","layer":2},{"info":"≮⫘↔-101101011000⋣⋖≮⫘↔11111101111011011110000=≮⫘↔-101101011000","layer":1},{"info":"⇠≮⫘↔-101101011000=≮⫘↔0","layer":0}]}
{"id":609,"expression_no_base_symbol":"(⊆⋠(↨$1415$))⨑⩅≇(($1273$⫚↹⊑$3669$)⨎(↡$2572$))⨱∎","expression":"(⊆⋠(↨≮⫘↔10110000111))⨑⩅≇((≮⫘↔10011111001⫚↹⊑≮⫘↔111001010101)⨎(↡≮⫘↔101000001100))⨱∎","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23434,"operation_count":7,"complexity_ratio":3347.714285714286,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1415,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1273,"base":2},"right_expr":{"type":"numeric_atoms","value":3669,"base":2}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2572,"base":2}}}}},"used_operators":["MmTdOpaElr","h92wMvzauj","EBhcHTkKd8","jiX4gk2v2Q","rJVOvQCfKK","dfKe02y8D2","MXaNJeIAZ3"],"dependent_operators":["tifHPKVTfV","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rGHVDoGpnC","oZj3VtZNQx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"number node, value=1273","layer":4},{"info":"number node, value=3669","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=3669, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=23148","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=23148, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=23148","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=23148, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-11937","layer":1},{"info":"compute unary expreesion, input=-11937, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⊆⋠(↨≮⫘↔10110000111))⨑⩅≇((≮⫘↔10011111001⫚↹⊑≮⫘↔111001010101)⨎(↡≮⫘↔101000001100))⨱∎=≮⫘↔0","reverse_text":"≮⫘↔0=(⊆⋠(↨≮⫘↔10110000111))⨑⩅≇((≮⫘↔10011111001⫚↹⊑≮⫘↔111001010101)⨎(↡≮⫘↔101000001100))⨱∎","cot":[{"info":"↨≮⫘↔10110000111=NaN","layer":3},{"info":"⊆⋠NaN=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔10011111001⫚↹⊑≮⫘↔111001010101=≮⫘↔-110111111","layer":3},{"info":"↡≮⫘↔101000001100=≮⫘↔101101001101100","layer":3},{"info":"≮⫘↔-110111111⨎≮⫘↔101101001101100=≮⫘↔101101001101100","layer":2},{"info":"≮⫘↔111110001011⨑⩅≇≮⫘↔101101001101100=≮⫘↔-10111010100001","layer":1},{"info":"≮⫘↔-10111010100001⨱∎=≮⫘↔0","layer":0}]}
{"id":610,"expression_no_base_symbol":"(($2741$⪪$7514$≭$1009$⪢$1267$)⩁⩘($2160$⊮⊟↴$2949$⪉⨛(⨣⨃⇪$3970$)))⨿(($1158$↹⊜$1027$)∓⋝($1308$⫍⨯↯)⪉⨛$5514$⨔⇊$3431$⨎$1226$⨪↰⇹$2050$)","expression":"((≮⫘↔101010110101⪪≮⫘↔1110101011010≭≮⫘↔1111110001⪢≮⫘↔10011110011)⩁⩘(≮⫘↔100001110000⊮⊟↴≮⫘↔101110000101⪉⨛(⨣⨃⇪≮⫘↔111110000010)))⨿((≮⫘↔10010000110↹⊜≮⫘↔10000000011)∓⋝(≮⫘↔10100011100⫍⨯↯)⪉⨛≮⫘↔1010110001010⨔⇊≮⫘↔110101100111⨎≮⫘↔10011001010⨪↰⇹≮⫘↔100000000010)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":11271,"operation_count":15,"complexity_ratio":751.4,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2741,"base":2},"right_expr":{"type":"numeric_atoms","value":7514,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1009,"base":2},"right_expr":{"type":"numeric_atoms","value":1267,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2160,"base":2},"right_expr":{"type":"numeric_atoms","value":2949,"base":2}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3970,"base":2}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1158,"base":2},"right_expr":{"type":"numeric_atoms","value":1027,"base":2}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1308,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5514,"base":2},"right_expr":{"type":"numeric_atoms","value":3431,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1226,"base":2},"right_expr":{"type":"numeric_atoms","value":2050,"base":2}}}}},"used_operators":["abYXlopdE0","gub5Cegaqo","rxpJgHHUmx","xD69zh8xqp","dWAJyo7jo9","EWw2JM7wp4","QDVgd2eftb","AcOhelriW5","PoHhknlbAi","9bazX3JMtO","ZcwmYACASQ","rJVOvQCfKK","JclMnS0uGI","tmPS8pqC7x"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DpFCA1CohY","IWmyXbctLI","AHs5Up7iyr","FU0Cs4j7VP","JclMnS0uGI","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rJVOvQCfKK"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2741","layer":4},{"info":"number node, value=7514","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=7514, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-409980","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1267, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-409980, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2160","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=2949, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=3970","layer":4},{"info":"compute unary expreesion, input=3970, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1405, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-4000","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4000, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=1158","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1027, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1888","layer":3},{"info":"number node, value=1308","layer":4},{"info":"compute unary expreesion, input=1308, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1275","layer":3},{"info":"compute binary expreesion, left_input=-1888, right_input=1275, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=5514","layer":4},{"info":"number node, value=3431","layer":4},{"info":"compute binary expreesion, left_input=5514, right_input=3431, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3431","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=2050, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1226","layer":3},{"info":"compute binary expreesion, left_input=3431, right_input=1226, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1226","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1226, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-3262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3262, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101010110101⪪≮⫘↔1110101011010≭≮⫘↔1111110001⪢≮⫘↔10011110011)⩁⩘(≮⫘↔100001110000⊮⊟↴≮⫘↔101110000101⪉⨛(⨣⨃⇪≮⫘↔111110000010)))⨿((≮⫘↔10010000110↹⊜≮⫘↔10000000011)∓⋝(≮⫘↔10100011100⫍⨯↯)⪉⨛≮⫘↔1010110001010⨔⇊≮⫘↔110101100111⨎≮⫘↔10011001010⨪↰⇹≮⫘↔100000000010)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔101010110101⪪≮⫘↔1110101011010≭≮⫘↔1111110001⪢≮⫘↔10011110011)⩁⩘(≮⫘↔100001110000⊮⊟↴≮⫘↔101110000101⪉⨛(⨣⨃⇪≮⫘↔111110000010)))⨿((≮⫘↔10010000110↹⊜≮⫘↔10000000011)∓⋝(≮⫘↔10100011100⫍⨯↯)⪉⨛≮⫘↔1010110001010⨔⇊≮⫘↔110101100111⨎≮⫘↔10011001010⨪↰⇹≮⫘↔100000000010)","cot":[{"info":"≮⫘↔101010110101⪪≮⫘↔1110101011010=≮⫘↔-1100100000101111100","layer":3},{"info":"≮⫘↔1111110001⪢≮⫘↔10011110011=NaN","layer":3},{"info":"≮⫘↔-1100100000101111100≭NaN=NaN","layer":2},{"info":"≮⫘↔100001110000⊮⊟↴≮⫘↔101110000101=≮⫘↔0","layer":3},{"info":"⨣⨃⇪≮⫘↔111110000010=≮⫘↔10101111101","layer":3},{"info":"≮⫘↔0⪉⨛≮⫘↔10101111101=≮⫘↔-111110100000","layer":2},{"info":"NaN⩁⩘≮⫘↔-111110100000=NaN","layer":1},{"info":"≮⫘↔10010000110↹⊜≮⫘↔10000000011=≮⫘↔-11101100000","layer":3},{"info":"≮⫘↔10100011100⫍⨯↯=≮⫘↔10011111011","layer":3},{"info":"≮⫘↔-11101100000∓⋝≮⫘↔10011111011=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1010110001010⨔⇊≮⫘↔110101100111=≮⫘↔110101100111","layer":3},{"info":"≮⫘↔10011001010⨪↰⇹≮⫘↔100000000010=≮⫘↔10011001010","layer":3},{"info":"≮⫘↔110101100111⨎≮⫘↔10011001010=≮⫘↔10011001010","layer":2},{"info":"≮⫘↔1000011⪉⨛≮⫘↔10011001010=≮⫘↔-110010111110","layer":1},{"info":"NaN⨿≮⫘↔-110010111110=≮⫘↔1000011","layer":0}]}
{"id":611,"expression_no_base_symbol":"((⊆⋠($1980$≠≀$2011$))⫌⩉⩟(↔$2488$)⪔($1167$⩹$2758$))≴⪞⇿($1519$≎⪠$2261$⨚($2037$∌↝$2069$)⩒⫫(⫛⫱⨽($3495$⇐≅)))","expression":"((⊆⋠(≮⫘↔11110111100≠≀≮⫘↔11111011011))⫌⩉⩟(↔≮⫘↔100110111000)⪔(≮⫘↔10010001111⩹≮⫘↔101011000110))≴⪞⇿(≮⫘↔10111101111≎⪠≮⫘↔100011010101⨚(≮⫘↔11111110101∌↝≮⫘↔100000010101)⩒⫫(⫛⫱⨽(≮⫘↔110110100111⇐≅)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":231894,"operation_count":13,"complexity_ratio":17838.0,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1980,"base":2},"right_expr":{"type":"numeric_atoms","value":2011,"base":2}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2488,"base":2}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1167,"base":2},"right_expr":{"type":"numeric_atoms","value":2758,"base":2}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1519,"base":2},"right_expr":{"type":"numeric_atoms","value":2261,"base":2}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2037,"base":2},"right_expr":{"type":"numeric_atoms","value":2069,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":3495,"base":2}}}}},"used_operators":["lvlrscuwVU","XIIwhv8d0m","EBhcHTkKd8","IwW236VD4Y","GjBEYRfMaF","ruOEQAzv1W","2Wsdkap16l","KFSx94NKJn","nREPSIbpBE","aNhz54LH3e","9Isq31Ruls","DlLNRPXxWL","wEfv7U73WA"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","BjRHVeLaeN","12rbrZMWeM","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rGHVDoGpnC","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔-1001111101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1980","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=2011, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3654","layer":3},{"info":"compute unary expreesion, input=-3654, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"number node, value=2488","layer":4},{"info":"compute unary expreesion, input=2488, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2215","layer":3},{"info":"number node, value=1167","layer":4},{"info":"number node, value=2758","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=2758, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2756","layer":3},{"info":"compute binary expreesion, left_input=-2215, right_input=2756, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=450, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1519","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=2261, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=2069, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=40050","layer":2},{"info":"number node, value=3495","layer":4},{"info":"compute unary expreesion, input=3495, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=10453","layer":3},{"info":"compute unary expreesion, input=10453, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=40050, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=39748","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=39748, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-5100","layer":0}],"base":2,"result_base":2,"text":"((⊆⋠(≮⫘↔11110111100≠≀≮⫘↔11111011011))⫌⩉⩟(↔≮⫘↔100110111000)⪔(≮⫘↔10010001111⩹≮⫘↔101011000110))≴⪞⇿(≮⫘↔10111101111≎⪠≮⫘↔100011010101⨚(≮⫘↔11111110101∌↝≮⫘↔100000010101)⩒⫫(⫛⫱⨽(≮⫘↔110110100111⇐≅)))=≮⫘↔-1001111101100","reverse_text":"≮⫘↔-1001111101100=((⊆⋠(≮⫘↔11110111100≠≀≮⫘↔11111011011))⫌⩉⩟(↔≮⫘↔100110111000)⪔(≮⫘↔10010001111⩹≮⫘↔101011000110))≴⪞⇿(≮⫘↔10111101111≎⪠≮⫘↔100011010101⨚(≮⫘↔11111110101∌↝≮⫘↔100000010101)⩒⫫(⫛⫱⨽(≮⫘↔110110100111⇐≅)))","cot":[{"info":"≮⫘↔11110111100≠≀≮⫘↔11111011011=≮⫘↔-111001000110","layer":3},{"info":"⊆⋠≮⫘↔-111001000110=≮⫘↔111110001011","layer":2},{"info":"↔≮⫘↔100110111000=≮⫘↔-100010100111","layer":3},{"info":"≮⫘↔10010001111⩹≮⫘↔101011000110=≮⫘↔101011000100","layer":3},{"info":"≮⫘↔-100010100111⪔≮⫘↔101011000100=≮⫘↔111000010","layer":2},{"info":"≮⫘↔111110001011⫌⩉⩟≮⫘↔111000010=≮⫘↔-110010","layer":1},{"info":"≮⫘↔10111101111≎⪠≮⫘↔100011010101=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔11111110101∌↝≮⫘↔100000010101=≮⫘↔0","layer":3},{"info":"≮⫘↔100110001100110⨚≮⫘↔0=≮⫘↔1001110001110010","layer":2},{"info":"≮⫘↔110110100111⇐≅=≮⫘↔10100011010101","layer":3},{"info":"⫛⫱⨽≮⫘↔10100011010101=≮⫘↔0","layer":2},{"info":"≮⫘↔1001110001110010⩒⫫≮⫘↔0=≮⫘↔1001101101000100","layer":1},{"info":"≮⫘↔-110010≴⪞⇿≮⫘↔1001101101000100=≮⫘↔-1001111101100","layer":0}]}
{"id":612,"expression_no_base_symbol":"(↑($2315$⇴$5435$))≨(($4362$⩹$3194$)≭(⩷$3761$))⪚((($1223$∙∹∝$1286$)≭($2091$⨸⪁$4372$))⨟⋌⩍($1827$⋅⇍$1104$⪉⨛($1122$∙∹∝$5660$)))","expression":"(↑(≮⫘↔100100001011⇴≮⫘↔1010100111011))≨((≮⫘↔1000100001010⩹≮⫘↔110001111010)≭(⩷≮⫘↔111010110001))⪚(((≮⫘↔10011000111∙∹∝≮⫘↔10100000110)≭(≮⫘↔100000101011⨸⪁≮⫘↔1000100010100))⨟⋌⩍(≮⫘↔11100100011⋅⇍≮⫘↔10001010000⪉⨛(≮⫘↔10001100010∙∹∝≮⫘↔1011000011100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":820,"operation_count":14,"complexity_ratio":58.57142857142857,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2315,"base":2},"right_expr":{"type":"numeric_atoms","value":5435,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4362,"base":2},"right_expr":{"type":"numeric_atoms","value":3194,"base":2}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":3761,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1223,"base":2},"right_expr":{"type":"numeric_atoms","value":1286,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2091,"base":2},"right_expr":{"type":"numeric_atoms","value":4372,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1827,"base":2},"right_expr":{"type":"numeric_atoms","value":1104,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1122,"base":2},"right_expr":{"type":"numeric_atoms","value":5660,"base":2}}}}},"used_operators":["HrjLwUk87U","0KMCeP1Jsh","tR7O2zTn5j","4JB6nKBMSY","rxpJgHHUmx","2Wsdkap16l","1h0rLqGiFr","rGHVDoGpnC","HmxsFra2vL","g55IO6H4Gj","EWw2JM7wp4","AdZkA7nFnk"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","sdazOOVcIp","NTOWxs364D","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Tcnh7f0tEr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2315","layer":4},{"info":"number node, value=5435","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=5435, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=24374","layer":3},{"info":"compute unary expreesion, input=24374, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=4362","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=4362, right_input=3194, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=3192","layer":3},{"info":"number node, value=3761","layer":4},{"info":"compute unary expreesion, input=3761, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-45211","layer":3},{"info":"compute binary expreesion, left_input=3192, right_input=-45211, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=556","layer":1},{"info":"number node, value=1223","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=1286, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2091","layer":4},{"info":"number node, value=4372","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=4372, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12926","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12926, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1827","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=1104, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=5660","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=5660, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=149","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=149, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=556, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↑(≮⫘↔100100001011⇴≮⫘↔1010100111011))≨((≮⫘↔1000100001010⩹≮⫘↔110001111010)≭(⩷≮⫘↔111010110001))⪚(((≮⫘↔10011000111∙∹∝≮⫘↔10100000110)≭(≮⫘↔100000101011⨸⪁≮⫘↔1000100010100))⨟⋌⩍(≮⫘↔11100100011⋅⇍≮⫘↔10001010000⪉⨛(≮⫘↔10001100010∙∹∝≮⫘↔1011000011100)))=NaN","reverse_text":"NaN=(↑(≮⫘↔100100001011⇴≮⫘↔1010100111011))≨((≮⫘↔1000100001010⩹≮⫘↔110001111010)≭(⩷≮⫘↔111010110001))⪚(((≮⫘↔10011000111∙∹∝≮⫘↔10100000110)≭(≮⫘↔100000101011⨸⪁≮⫘↔1000100010100))⨟⋌⩍(≮⫘↔11100100011⋅⇍≮⫘↔10001010000⪉⨛(≮⫘↔10001100010∙∹∝≮⫘↔1011000011100)))","cot":[{"info":"≮⫘↔100100001011⇴≮⫘↔1010100111011=≮⫘↔101111100110110","layer":3},{"info":"↑≮⫘↔101111100110110=≮⫘↔11000000","layer":2},{"info":"≮⫘↔1000100001010⩹≮⫘↔110001111010=≮⫘↔110001111000","layer":3},{"info":"⩷≮⫘↔111010110001=≮⫘↔-1011000010011011","layer":3},{"info":"≮⫘↔110001111000≭≮⫘↔-1011000010011011=NaN","layer":2},{"info":"≮⫘↔11000000≨NaN=≮⫘↔1000101100","layer":1},{"info":"≮⫘↔10011000111∙∹∝≮⫘↔10100000110=≮⫘↔0","layer":3},{"info":"≮⫘↔100000101011⨸⪁≮⫘↔1000100010100=≮⫘↔11001001111110","layer":3},{"info":"≮⫘↔0≭≮⫘↔11001001111110=NaN","layer":2},{"info":"≮⫘↔11100100011⋅⇍≮⫘↔10001010000=≮⫘↔-10110","layer":3},{"info":"≮⫘↔10001100010∙∹∝≮⫘↔1011000011100=≮⫘↔0","layer":3},{"info":"≮⫘↔-10110⪉⨛≮⫘↔0=≮⫘↔10010101","layer":2},{"info":"NaN⨟⋌⩍≮⫘↔10010101=NaN","layer":1},{"info":"≮⫘↔1000101100⪚NaN=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"∨∊⋏(($1040$⨚$3239$⨵⪆$5815$⨸⪁$2542$)⩖⊿($2826$⪃⊛⇣$6681$⋅⇍(⊈$1668$)))","expression":"∨∊⋏((≮⫘↔10000010000⨚≮⫘↔110010100111⨵⪆≮⫘↔1011010110111⨸⪁≮⫘↔100111101110)⩖⊿(≮⫘↔101100001010⪃⊛⇣≮⫘↔1101000011001⋅⇍(⊈≮⫘↔11010000100)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":681,"operation_count":8,"complexity_ratio":85.125,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1040,"base":2},"right_expr":{"type":"numeric_atoms","value":3239,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5815,"base":2},"right_expr":{"type":"numeric_atoms","value":2542,"base":2}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2826,"base":2},"right_expr":{"type":"numeric_atoms","value":6681,"base":2}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1668,"base":2}}}}},"used_operators":["R5aXW34M0v","RZ5CV9rWsJ","2DQ55sFlQl","nREPSIbpBE","g55IO6H4Gj","AdZkA7nFnk","rrgAzCduG9","RHru8klgy8"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","12rbrZMWeM","xUOZtlo3hN"],"result":"≮⫘↔11101001010101111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=3239","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=3239, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-9942","layer":3},{"info":"number node, value=5815","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=5815, right_input=2542, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16714","layer":3},{"info":"compute binary expreesion, left_input=-9942, right_input=16714, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2826","layer":4},{"info":"number node, value=6681","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=6681, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1842","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-1842, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1807","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1807, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=5528","layer":1},{"info":"compute unary expreesion, input=5528, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=119471","layer":0}],"base":2,"result_base":2,"text":"∨∊⋏((≮⫘↔10000010000⨚≮⫘↔110010100111⨵⪆≮⫘↔1011010110111⨸⪁≮⫘↔100111101110)⩖⊿(≮⫘↔101100001010⪃⊛⇣≮⫘↔1101000011001⋅⇍(⊈≮⫘↔11010000100)))=≮⫘↔11101001010101111","reverse_text":"≮⫘↔11101001010101111=∨∊⋏((≮⫘↔10000010000⨚≮⫘↔110010100111⨵⪆≮⫘↔1011010110111⨸⪁≮⫘↔100111101110)⩖⊿(≮⫘↔101100001010⪃⊛⇣≮⫘↔1101000011001⋅⇍(⊈≮⫘↔11010000100)))","cot":[{"info":"≮⫘↔10000010000⨚≮⫘↔110010100111=≮⫘↔-10011011010110","layer":3},{"info":"≮⫘↔1011010110111⨸⪁≮⫘↔100111101110=≮⫘↔100000101001010","layer":3},{"info":"≮⫘↔-10011011010110⨵⪆≮⫘↔100000101001010=≮⫘↔10100000","layer":2},{"info":"≮⫘↔101100001010⪃⊛⇣≮⫘↔1101000011001=≮⫘↔10011010010","layer":3},{"info":"⊈≮⫘↔11010000100=≮⫘↔-11100110010","layer":3},{"info":"≮⫘↔10011010010⋅⇍≮⫘↔-11100110010=≮⫘↔-11100001111","layer":2},{"info":"≮⫘↔10100000⩖⊿≮⫘↔-11100001111=≮⫘↔1010110011000","layer":1},{"info":"∨∊⋏≮⫘↔1010110011000=≮⫘↔11101001010101111","layer":0}]}
{"id":614,"expression_no_base_symbol":"(⋗⩴⪓($1324$≣⋋)∘$3089$⩦$1275$)⪪(⊆⋠($1514$⩦$5507$)⇂≾⫗($6404$⊲⩕⊾$1211$))","expression":"(⋗⩴⪓(≮⫘↔10100101100≣⋋)∘≮⫘↔110000010001⩦≮⫘↔10011111011)⪪(⊆⋠(≮⫘↔10111101010⩦≮⫘↔1010110000011)⇂≾⫗(≮⫘↔1100100000100⊲⩕⊾≮⫘↔10010111011))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3669,"operation_count":9,"complexity_ratio":407.6666666666667,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1324,"base":2}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3089,"base":2},"right_expr":{"type":"numeric_atoms","value":1275,"base":2}}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1514,"base":2},"right_expr":{"type":"numeric_atoms","value":5507,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":6404,"base":2},"right_expr":{"type":"numeric_atoms","value":1211,"base":2}}}}},"used_operators":["xD69zh8xqp","nOKPl9n5zu","Z5m6OM72h2","Tcnh7f0tEr","0kmYd0q39Y","EBhcHTkKd8","aBQ6xLxuTc","DmTXOeWf9t"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","eH2TOUuTDT","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"≮⫘↔-100000101101000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1324","layer":4},{"info":"compute unary expreesion, input=1324, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=3089","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=3089, right_input=1275, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6178","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6178, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=913","layer":1},{"info":"number node, value=1514","layer":4},{"info":"number node, value=5507","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=5507, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3028","layer":3},{"info":"number node, value=6404","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=6404, right_input=1211, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-111204","layer":3},{"info":"compute binary expreesion, left_input=3028, right_input=-111204, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=-26961","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=-26961, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-133952","layer":0}],"base":2,"result_base":2,"text":"(⋗⩴⪓(≮⫘↔10100101100≣⋋)∘≮⫘↔110000010001⩦≮⫘↔10011111011)⪪(⊆⋠(≮⫘↔10111101010⩦≮⫘↔1010110000011)⇂≾⫗(≮⫘↔1100100000100⊲⩕⊾≮⫘↔10010111011))=≮⫘↔-100000101101000000","reverse_text":"≮⫘↔-100000101101000000=(⋗⩴⪓(≮⫘↔10100101100≣⋋)∘≮⫘↔110000010001⩦≮⫘↔10011111011)⪪(⊆⋠(≮⫘↔10111101010⩦≮⫘↔1010110000011)⇂≾⫗(≮⫘↔1100100000100⊲⩕⊾≮⫘↔10010111011))","cot":[{"info":"≮⫘↔10100101100≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔110000010001⩦≮⫘↔10011111011=≮⫘↔1100000100010","layer":3},{"info":"≮⫘↔0∘≮⫘↔1100000100010=≮⫘↔0","layer":2},{"info":"⋗⩴⪓≮⫘↔0=≮⫘↔1110010001","layer":1},{"info":"≮⫘↔10111101010⩦≮⫘↔1010110000011=≮⫘↔101111010100","layer":3},{"info":"≮⫘↔1100100000100⊲⩕⊾≮⫘↔10010111011=≮⫘↔-11011001001100100","layer":3},{"info":"≮⫘↔101111010100⇂≾⫗≮⫘↔-11011001001100100=≮⫘↔-1010011110","layer":2},{"info":"⊆⋠≮⫘↔-1010011110=≮⫘↔-110100101010001","layer":1},{"info":"≮⫘↔1110010001⪪≮⫘↔-110100101010001=≮⫘↔-100000101101000000","layer":0}]}
{"id":615,"expression_no_base_symbol":"(($9062$⊠≄⫣)↤⩊($2319$⨐⩸⫘$3197$)⫲≸⪮$8925$↳∿⪆$4287$⪚$2810$↓$3027$)⊕∕(($3291$⊴$5602$⇼⇔∾($4531$⊉≛↸$5442$))⊬⨰(↩⪖$3126$∌$3224$))","expression":"((≮⫘↔10001101100110⊠≄⫣)↤⩊(≮⫘↔100100001111⨐⩸⫘≮⫘↔110001111101)⫲≸⪮≮⫘↔10001011011101↳∿⪆≮⫘↔1000010111111⪚≮⫘↔101011111010↓≮⫘↔101111010011)⊕∕((≮⫘↔110011011011⊴≮⫘↔1010111100010⇼⇔∾(≮⫘↔1000110110011⊉≛↸≮⫘↔1010101000010))⊬⨰(↩⪖≮⫘↔110000110110∌≮⫘↔110010011000))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":50963,"operation_count":14,"complexity_ratio":3640.214285714286,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":9062,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2319,"base":2},"right_expr":{"type":"numeric_atoms","value":3197,"base":2}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":8925,"base":2},"right_expr":{"type":"numeric_atoms","value":4287,"base":2}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2810,"base":2},"right_expr":{"type":"numeric_atoms","value":3027,"base":2}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3291,"base":2},"right_expr":{"type":"numeric_atoms","value":5602,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4531,"base":2},"right_expr":{"type":"numeric_atoms","value":5442,"base":2}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3126,"base":2},"right_expr":{"type":"numeric_atoms","value":3224,"base":2}}}}},"used_operators":["9cloC0Ngie","P3lXMJvFrc","13rbtpv6ld","DIvbN7qnHd","fu6greOZ01","HrjLwUk87U","Cw4SuJJGHO","Af076pWI7l","s3Fd5m9Dh2","tifHPKVTfV","Nsiff2A1zJ","DZ8iAZOCBD","fG6uBQFnGz","8cLx32lpNA"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9062","layer":4},{"info":"compute unary expreesion, input=9062, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2319","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=3197, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=8925","layer":4},{"info":"number node, value=4287","layer":4},{"info":"compute binary expreesion, left_input=8925, right_input=4287, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2810","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=3027, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=3291","layer":4},{"info":"number node, value=5602","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=5602, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4531","layer":4},{"info":"number node, value=5442","layer":4},{"info":"compute binary expreesion, left_input=4531, right_input=5442, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9062","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9062, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=3126","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=3224, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3224","layer":3},{"info":"compute unary expreesion, input=-3224, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=42942","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=42942, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001101100110⊠≄⫣)↤⩊(≮⫘↔100100001111⨐⩸⫘≮⫘↔110001111101)⫲≸⪮≮⫘↔10001011011101↳∿⪆≮⫘↔1000010111111⪚≮⫘↔101011111010↓≮⫘↔101111010011)⊕∕((≮⫘↔110011011011⊴≮⫘↔1010111100010⇼⇔∾(≮⫘↔1000110110011⊉≛↸≮⫘↔1010101000010))⊬⨰(↩⪖≮⫘↔110000110110∌≮⫘↔110010011000))=NaN","reverse_text":"NaN=((≮⫘↔10001101100110⊠≄⫣)↤⩊(≮⫘↔100100001111⨐⩸⫘≮⫘↔110001111101)⫲≸⪮≮⫘↔10001011011101↳∿⪆≮⫘↔1000010111111⪚≮⫘↔101011111010↓≮⫘↔101111010011)⊕∕((≮⫘↔110011011011⊴≮⫘↔1010111100010⇼⇔∾(≮⫘↔1000110110011⊉≛↸≮⫘↔1010101000010))⊬⨰(↩⪖≮⫘↔110000110110∌≮⫘↔110010011000))","cot":[{"info":"≮⫘↔10001101100110⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔100100001111⨐⩸⫘≮⫘↔110001111101=NaN","layer":3},{"info":"≮⫘↔0↤⩊NaN=NaN","layer":2},{"info":"≮⫘↔10001011011101↳∿⪆≮⫘↔1000010111111=NaN","layer":3},{"info":"≮⫘↔101011111010↓≮⫘↔101111010011=≮⫘↔-10000110","layer":3},{"info":"NaN⪚≮⫘↔-10000110=NaN","layer":2},{"info":"NaN⫲≸⪮NaN=NaN","layer":1},{"info":"≮⫘↔110011011011⊴≮⫘↔1010111100010=NaN","layer":3},{"info":"≮⫘↔1000110110011⊉≛↸≮⫘↔1010101000010=≮⫘↔10001101100110","layer":3},{"info":"NaN⇼⇔∾≮⫘↔10001101100110=NaN","layer":2},{"info":"≮⫘↔110000110110∌≮⫘↔110010011000=≮⫘↔-110010011000","layer":3},{"info":"↩⪖≮⫘↔-110010011000=≮⫘↔1010011110111110","layer":2},{"info":"NaN⊬⨰≮⫘↔1010011110111110=NaN","layer":1},{"info":"NaN⊕∕NaN=NaN","layer":0}]}
{"id":616,"expression_no_base_symbol":"(($2502$⊿∆)≃($3951$∙⊟$2375$))≎⪠($3612$≁$1488$⩨($6951$⫡⨏$2346$))⊭↱($3413$⊕∕$8162$⋭≵$1352$⇴$1478$)⪇≇⋚($3991$≹⇙⪍$1578$⫡⨏(∡$1774$))","expression":"((≮⫘↔100111000110⊿∆)≃(≮⫘↔111101101111∙⊟≮⫘↔100101000111))≎⪠(≮⫘↔111000011100≁≮⫘↔10111010000⩨(≮⫘↔1101100100111⫡⨏≮⫘↔100100101010))⊭↱(≮⫘↔110101010101⊕∕≮⫘↔1111111100010⋭≵≮⫘↔10101001000⇴≮⫘↔10111000110)⪇≇⋚(≮⫘↔111110010111≹⇙⪍≮⫘↔11000101010⫡⨏(∡≮⫘↔11011101110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23333,"operation_count":15,"complexity_ratio":1555.5333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":2502,"base":2}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3951,"base":2},"right_expr":{"type":"numeric_atoms","value":2375,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3612,"base":2},"right_expr":{"type":"numeric_atoms","value":1488,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6951,"base":2},"right_expr":{"type":"numeric_atoms","value":2346,"base":2}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3413,"base":2},"right_expr":{"type":"numeric_atoms","value":8162,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1352,"base":2},"right_expr":{"type":"numeric_atoms","value":1478,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3991,"base":2},"right_expr":{"type":"numeric_atoms","value":1578,"base":2}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1774,"base":2}}}}},"used_operators":["COABgblf1C","aNhz54LH3e","YbVcJGFEVW","fv3ZujxkQL","SxTAKzQCrw","2DlMacCsIx","8N2wDY1A35","QMFrweE19q","3sJ7IOPOlU","jBncVCNhdl","9cloC0Ngie","4JB6nKBMSY","AHs5Up7iyr","pRsWfj4Fpp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","sdazOOVcIp","NTOWxs364D","COABgblf1C","dWAJyo7jo9","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"≮⫘↔-1001100011000111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-5125","layer":3},{"info":"number node, value=3951","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=2375, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=61209","layer":3},{"info":"compute binary expreesion, left_input=-5125, right_input=61209, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=10230","layer":2},{"info":"number node, value=3612","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=1488, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=22511","layer":3},{"info":"number node, value=6951","layer":4},{"info":"number node, value=2346","layer":4},{"info":"compute binary expreesion, left_input=6951, right_input=2346, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=40230","layer":3},{"info":"compute binary expreesion, left_input=22511, right_input=40230, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":2},{"info":"compute binary expreesion, left_input=10230, right_input=-3, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=3413","layer":4},{"info":"number node, value=8162","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=8162, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3413","layer":3},{"info":"number node, value=1352","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=1478, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=10682","layer":3},{"info":"compute binary expreesion, left_input=3413, right_input=10682, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=3991","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=3991, right_input=1578, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1774","layer":4},{"info":"compute unary expreesion, input=1774, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1774","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1774, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-39111","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100111000110⊿∆)≃(≮⫘↔111101101111∙⊟≮⫘↔100101000111))≎⪠(≮⫘↔111000011100≁≮⫘↔10111010000⩨(≮⫘↔1101100100111⫡⨏≮⫘↔100100101010))⊭↱(≮⫘↔110101010101⊕∕≮⫘↔1111111100010⋭≵≮⫘↔10101001000⇴≮⫘↔10111000110)⪇≇⋚(≮⫘↔111110010111≹⇙⪍≮⫘↔11000101010⫡⨏(∡≮⫘↔11011101110))=≮⫘↔-1001100011000111","reverse_text":"≮⫘↔-1001100011000111=((≮⫘↔100111000110⊿∆)≃(≮⫘↔111101101111∙⊟≮⫘↔100101000111))≎⪠(≮⫘↔111000011100≁≮⫘↔10111010000⩨(≮⫘↔1101100100111⫡⨏≮⫘↔100100101010))⊭↱(≮⫘↔110101010101⊕∕≮⫘↔1111111100010⋭≵≮⫘↔10101001000⇴≮⫘↔10111000110)⪇≇⋚(≮⫘↔111110010111≹⇙⪍≮⫘↔11000101010⫡⨏(∡≮⫘↔11011101110))","cot":[{"info":"≮⫘↔100111000110⊿∆=≮⫘↔-1010000000101","layer":3},{"info":"≮⫘↔111101101111∙⊟≮⫘↔100101000111=≮⫘↔1110111100011001","layer":3},{"info":"≮⫘↔-1010000000101≃≮⫘↔1110111100011001=≮⫘↔10011111110110","layer":2},{"info":"≮⫘↔111000011100≁≮⫘↔10111010000=≮⫘↔101011111101111","layer":3},{"info":"≮⫘↔1101100100111⫡⨏≮⫘↔100100101010=≮⫘↔1001110100100110","layer":3},{"info":"≮⫘↔101011111101111⩨≮⫘↔1001110100100110=≮⫘↔-11","layer":2},{"info":"≮⫘↔10011111110110≎⪠≮⫘↔-11=≮⫘↔100110001100110","layer":1},{"info":"≮⫘↔110101010101⊕∕≮⫘↔1111111100010=≮⫘↔110101010101","layer":3},{"info":"≮⫘↔10101001000⇴≮⫘↔10111000110=≮⫘↔10100110111010","layer":3},{"info":"≮⫘↔110101010101⋭≵≮⫘↔10100110111010=≮⫘↔1000011","layer":2},{"info":"≮⫘↔111110010111≹⇙⪍≮⫘↔11000101010=NaN","layer":3},{"info":"∡≮⫘↔11011101110=≮⫘↔-11011101110","layer":3},{"info":"NaN⫡⨏≮⫘↔-11011101110=NaN","layer":2},{"info":"≮⫘↔1000011⪇≇⋚NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔100110001100110⊭↱≮⫘↔0=≮⫘↔-1001100011000111","layer":0}]}
{"id":617,"expression_no_base_symbol":"(($3609$⫲⨊)∘($1143$⪛⫼$7671$)⩭)≚⊃≕((∜⨇($1752$⩌⋺$5849$))⩇∃⫛(↞≼($2624$↬$1037$)))","expression":"((≮⫘↔111000011001⫲⨊)∘(≮⫘↔10001110111⪛⫼≮⫘↔1110111110111)⩭)≚⊃≕((∜⨇(≮⫘↔11011011000⩌⋺≮⫘↔1011011011001))⩇∃⫛(↞≼(≮⫘↔101001000000↬≮⫘↔10000001101)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":156536,"operation_count":10,"complexity_ratio":15653.6,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":3609,"base":2}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1143,"base":2},"right_expr":{"type":"numeric_atoms","value":7671,"base":2}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1752,"base":2},"right_expr":{"type":"numeric_atoms","value":5849,"base":2}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2624,"base":2},"right_expr":{"type":"numeric_atoms","value":1037,"base":2}}}}},"used_operators":["Bmrmz2XGnR","yIPP7u6H5x","Z5m6OM72h2","CArV6hThFE","hyuBjUqXlG","1aApVXNlOP","uFPyJr306J","g7Hmc5v1ko","DE7zCoGJt9","B5M0gjZbta"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","eH2TOUuTDT","rysDP5nf3Z","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3609","layer":4},{"info":"compute unary expreesion, input=3609, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=18828","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=7671","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=7671, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=18828, right_input=968, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=37656","layer":2},{"info":"compute unary expreesion, input=37656, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"number node, value=1752","layer":4},{"info":"number node, value=5849","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=5849, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-7722","layer":3},{"info":"compute unary expreesion, input=-7722, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=2624","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=2624, right_input=1037, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111000011001⫲⨊)∘(≮⫘↔10001110111⪛⫼≮⫘↔1110111110111)⩭)≚⊃≕((∜⨇(≮⫘↔11011011000⩌⋺≮⫘↔1011011011001))⩇∃⫛(↞≼(≮⫘↔101001000000↬≮⫘↔10000001101)))=NaN","reverse_text":"NaN=((≮⫘↔111000011001⫲⨊)∘(≮⫘↔10001110111⪛⫼≮⫘↔1110111110111)⩭)≚⊃≕((∜⨇(≮⫘↔11011011000⩌⋺≮⫘↔1011011011001))⩇∃⫛(↞≼(≮⫘↔101001000000↬≮⫘↔10000001101)))","cot":[{"info":"≮⫘↔111000011001⫲⨊=≮⫘↔100100110001100","layer":3},{"info":"≮⫘↔10001110111⪛⫼≮⫘↔1110111110111=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔100100110001100∘≮⫘↔1111001000=≮⫘↔1001001100011000","layer":2},{"info":"≮⫘↔1001001100011000⩭=NaN","layer":1},{"info":"≮⫘↔11011011000⩌⋺≮⫘↔1011011011001=≮⫘↔-1111000101010","layer":3},{"info":"∜⨇≮⫘↔-1111000101010=NaN","layer":2},{"info":"≮⫘↔101001000000↬≮⫘↔10000001101=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"NaN⩇∃⫛NaN=NaN","layer":1},{"info":"NaN≚⊃≕NaN=NaN","layer":0}]}
{"id":618,"expression_no_base_symbol":"(($3335$⫥∨⫟$1213$)⪥(⋗⩬⋾$4299$))∴((≸≮$2263$)⩹$1113$⊭↱$1276$)⊋(⇺⋃($1743$⪪$2331$⊉≛↸$1821$⋭≵$1669$))","expression":"((≮⫘↔110100000111⫥∨⫟≮⫘↔10010111101)⪥(⋗⩬⋾≮⫘↔1000011001011))∴((≸≮≮⫘↔100011010111)⩹≮⫘↔10001011001⊭↱≮⫘↔10011111100)⊋(⇺⋃(≮⫘↔11011001111⪪≮⫘↔100100011011⊉≛↸≮⫘↔11100011101⋭≵≮⫘↔11010000101))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44875,"operation_count":12,"complexity_ratio":3739.5833333333335,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3335,"base":2},"right_expr":{"type":"numeric_atoms","value":1213,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4299,"base":2}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2263,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1113,"base":2},"right_expr":{"type":"numeric_atoms","value":1276,"base":2}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1743,"base":2},"right_expr":{"type":"numeric_atoms","value":2331,"base":2}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1821,"base":2},"right_expr":{"type":"numeric_atoms","value":1669,"base":2}}}}},"used_operators":["W4tP9CfskL","hrf7POJlIJ","QbnwKVWMIQ","KYD54nUTWz","DpFCA1CohY","2Wsdkap16l","AljMvE3RRm","COABgblf1C","E5v5B3UAjG","DZ8iAZOCBD","xD69zh8xqp","jBncVCNhdl"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"≮⫘↔10000000010011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3335","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=3335, right_input=1213, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4299","layer":4},{"info":"compute unary expreesion, input=4299, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12897","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12897, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"number node, value=2263","layer":4},{"info":"compute unary expreesion, input=2263, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1276, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=331","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=331, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=329","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=329, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1416","layer":1},{"info":"number node, value=1743","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=2331, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-259282","layer":3},{"info":"number node, value=1821","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1669, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-259282, right_input=67, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-67","layer":2},{"info":"compute unary expreesion, input=-67, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=1449","layer":1},{"info":"compute binary expreesion, left_input=1416, right_input=1449, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=65688","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110100000111⫥∨⫟≮⫘↔10010111101)⪥(⋗⩬⋾≮⫘↔1000011001011))∴((≸≮≮⫘↔100011010111)⩹≮⫘↔10001011001⊭↱≮⫘↔10011111100)⊋(⇺⋃(≮⫘↔11011001111⪪≮⫘↔100100011011⊉≛↸≮⫘↔11100011101⋭≵≮⫘↔11010000101))=≮⫘↔10000000010011000","reverse_text":"≮⫘↔10000000010011000=((≮⫘↔110100000111⫥∨⫟≮⫘↔10010111101)⪥(⋗⩬⋾≮⫘↔1000011001011))∴((≸≮≮⫘↔100011010111)⩹≮⫘↔10001011001⊭↱≮⫘↔10011111100)⊋(⇺⋃(≮⫘↔11011001111⪪≮⫘↔100100011011⊉≛↸≮⫘↔11100011101⋭≵≮⫘↔11010000101))","cot":[{"info":"≮⫘↔110100000111⫥∨⫟≮⫘↔10010111101=NaN","layer":3},{"info":"⋗⩬⋾≮⫘↔1000011001011=≮⫘↔-11001001100001","layer":3},{"info":"NaN⪥≮⫘↔-11001001100001=≮⫘↔-1110100","layer":2},{"info":"≸≮≮⫘↔100011010111=NaN","layer":3},{"info":"≮⫘↔10001011001⊭↱≮⫘↔10011111100=≮⫘↔101001011","layer":3},{"info":"NaN⩹≮⫘↔101001011=≮⫘↔101001001","layer":2},{"info":"≮⫘↔-1110100∴≮⫘↔101001001=≮⫘↔10110001000","layer":1},{"info":"≮⫘↔11011001111⪪≮⫘↔100100011011=≮⫘↔-111111010011010010","layer":3},{"info":"≮⫘↔11100011101⋭≵≮⫘↔11010000101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔-111111010011010010⊉≛↸≮⫘↔1000011=≮⫘↔-1000011","layer":2},{"info":"⇺⋃≮⫘↔-1000011=≮⫘↔10110101001","layer":1},{"info":"≮⫘↔10110001000⊋≮⫘↔10110101001=≮⫘↔10000000010011000","layer":0}]}
{"id":619,"expression_no_base_symbol":"(($1262$≝⊰⇂)∖(⩷⨜⫀$3396$))↙$1903$≁↽≥$2972$⨑⩅≇$1570$⫞⩸⩒$3610$⊉≛↸(↔($3430$⫣⪄⊒$1206$⋅⇍($6615$∷$3874$)))","expression":"((≮⫘↔10011101110≝⊰⇂)∖(⩷⨜⫀≮⫘↔110101000100))↙≮⫘↔11101101111≁↽≥≮⫘↔101110011100⨑⩅≇≮⫘↔11000100010⫞⩸⩒≮⫘↔111000011010⊉≛↸(↔(≮⫘↔110101100110⫣⪄⊒≮⫘↔10010110110⋅⇍(≮⫘↔1100111010111∷≮⫘↔111100100010)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5363,"operation_count":12,"complexity_ratio":446.9166666666667,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1262,"base":2}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":3396,"base":2}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1903,"base":2},"right_expr":{"type":"numeric_atoms","value":2972,"base":2}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1570,"base":2},"right_expr":{"type":"numeric_atoms","value":3610,"base":2}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3430,"base":2},"right_expr":{"type":"numeric_atoms","value":1206,"base":2}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":6615,"base":2},"right_expr":{"type":"numeric_atoms","value":3874,"base":2}}}}},"used_operators":["DZ8iAZOCBD","yyfyN0ffXY","tXD093vOjl","htSmYCowi5","CDi0ktkjQ4","h92wMvzauj","ncHt1X6cMc","XGcMNugi78","ruOEQAzv1W","AdZkA7nFnk","RabNbG55vr","D3AQDKkPcf"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","DlLNRPXxWL","ruOEQAzv1W","nhYeJWJD5X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","oWn0xqSxBt","3Oe9XWJUTD","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=3396","layer":4},{"info":"compute unary expreesion, input=3396, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3123","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3123, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1903","layer":4},{"info":"number node, value=2972","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=2972, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=38477","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=3610, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3610","layer":3},{"info":"compute binary expreesion, left_input=38477, right_input=3610, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-115431","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-115431, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=3430","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=3430, right_input=1206, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-888","layer":3},{"info":"number node, value=6615","layer":4},{"info":"number node, value=3874","layer":4},{"info":"compute binary expreesion, left_input=6615, right_input=3874, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3874","layer":3},{"info":"compute binary expreesion, left_input=-888, right_input=3874, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=833","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=833, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011101110≝⊰⇂)∖(⩷⨜⫀≮⫘↔110101000100))↙≮⫘↔11101101111≁↽≥≮⫘↔101110011100⨑⩅≇≮⫘↔11000100010⫞⩸⩒≮⫘↔111000011010⊉≛↸(↔(≮⫘↔110101100110⫣⪄⊒≮⫘↔10010110110⋅⇍(≮⫘↔1100111010111∷≮⫘↔111100100010)))=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔10011101110≝⊰⇂)∖(⩷⨜⫀≮⫘↔110101000100))↙≮⫘↔11101101111≁↽≥≮⫘↔101110011100⨑⩅≇≮⫘↔11000100010⫞⩸⩒≮⫘↔111000011010⊉≛↸(↔(≮⫘↔110101100110⫣⪄⊒≮⫘↔10010110110⋅⇍(≮⫘↔1100111010111∷≮⫘↔111100100010)))","cot":[{"info":"≮⫘↔10011101110≝⊰⇂=≮⫘↔0","layer":3},{"info":"⩷⨜⫀≮⫘↔110101000100=≮⫘↔-110000110011","layer":3},{"info":"≮⫘↔0∖≮⫘↔-110000110011=≮⫘↔0","layer":2},{"info":"≮⫘↔11101101111≁↽≥≮⫘↔101110011100=≮⫘↔1001011001001101","layer":3},{"info":"≮⫘↔11000100010⫞⩸⩒≮⫘↔111000011010=≮⫘↔111000011010","layer":3},{"info":"≮⫘↔1001011001001101⨑⩅≇≮⫘↔111000011010=≮⫘↔-11100001011100111","layer":2},{"info":"≮⫘↔0↙≮⫘↔-11100001011100111=≮⫘↔0","layer":1},{"info":"≮⫘↔110101100110⫣⪄⊒≮⫘↔10010110110=≮⫘↔-1101111000","layer":3},{"info":"≮⫘↔1100111010111∷≮⫘↔111100100010=≮⫘↔111100100010","layer":3},{"info":"≮⫘↔-1101111000⋅⇍≮⫘↔111100100010=≮⫘↔-10110","layer":2},{"info":"↔≮⫘↔-10110=≮⫘↔1101000001","layer":1},{"info":"≮⫘↔0⊉≛↸≮⫘↔1101000001=≮⫘↔0","layer":0}]}
{"id":620,"expression_no_base_symbol":"($1194$⫒⫫$1006$⩧⪆$1375$∀⇚≩$2386$⨭⪣(⪫⨮⊛($2921$≴⪞⇿$3224$)))⨻⩈⩔(($1578$≥⨤⩑$1490$)⨓($1513$∝$1443$)⇣⩺⋵($1164$≒∊$4047$)⊮⊟↴(⊈$1892$))","expression":"(≮⫘↔10010101010⫒⫫≮⫘↔1111101110⩧⪆≮⫘↔10101011111∀⇚≩≮⫘↔100101010010⨭⪣(⪫⨮⊛(≮⫘↔101101101001≴⪞⇿≮⫘↔110010011000)))⨻⩈⩔((≮⫘↔11000101010≥⨤⩑≮⫘↔10111010010)⨓(≮⫘↔10111101001∝≮⫘↔10110100011)⇣⩺⋵(≮⫘↔10010001100≒∊≮⫘↔111111001111)⊮⊟↴(⊈≮⫘↔11101100100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14275,"operation_count":14,"complexity_ratio":1019.6428571428571,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1194,"base":2},"right_expr":{"type":"numeric_atoms","value":1006,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1375,"base":2},"right_expr":{"type":"numeric_atoms","value":2386,"base":2}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2921,"base":2},"right_expr":{"type":"numeric_atoms","value":3224,"base":2}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1578,"base":2},"right_expr":{"type":"numeric_atoms","value":1490,"base":2}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1513,"base":2},"right_expr":{"type":"numeric_atoms","value":1443,"base":2}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1164,"base":2},"right_expr":{"type":"numeric_atoms","value":4047,"base":2}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1892,"base":2}}}}},"used_operators":["nEsXyWgiOK","kn8WO9XteQ","Ikt5ks8PT7","6Ko8hGgeMq","LRNGc0VcxI","w5FWba1tyO","lvlrscuwVU","F4yD0voBRQ","3ViojmjbAp","gJLn6v0xnP","cTDWOvIxvz","QDVgd2eftb","5KTvxBwnZo","RHru8klgy8"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eewbuw0ToL","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","X99M06cbEe","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","7j4O788W3g","W4YGzv6Whe","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","12rbrZMWeM","xUOZtlo3hN"],"result":"≮⫘↔-10101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1194","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=1006, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1375","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=2386, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":2},{"info":"number node, value=2921","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=2921, right_input=3224, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=14024042","layer":3},{"info":"compute unary expreesion, input=14024042, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"number node, value=1578","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1490, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1513","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=1443, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1518","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1518, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1521","layer":2},{"info":"number node, value=1164","layer":4},{"info":"number node, value=4047","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=4047, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-680","layer":3},{"info":"number node, value=1892","layer":4},{"info":"compute unary expreesion, input=1892, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2066","layer":3},{"info":"compute binary expreesion, left_input=-680, right_input=-2066, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=85021","layer":2},{"info":"compute binary expreesion, left_input=-1521, right_input=85021, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-176064","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-176064, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010101010⫒⫫≮⫘↔1111101110⩧⪆≮⫘↔10101011111∀⇚≩≮⫘↔100101010010⨭⪣(⪫⨮⊛(≮⫘↔101101101001≴⪞⇿≮⫘↔110010011000)))⨻⩈⩔((≮⫘↔11000101010≥⨤⩑≮⫘↔10111010010)⨓(≮⫘↔10111101001∝≮⫘↔10110100011)⇣⩺⋵(≮⫘↔10010001100≒∊≮⫘↔111111001111)⊮⊟↴(⊈≮⫘↔11101100100))=≮⫘↔-10101110","reverse_text":"≮⫘↔-10101110=(≮⫘↔10010101010⫒⫫≮⫘↔1111101110⩧⪆≮⫘↔10101011111∀⇚≩≮⫘↔100101010010⨭⪣(⪫⨮⊛(≮⫘↔101101101001≴⪞⇿≮⫘↔110010011000)))⨻⩈⩔((≮⫘↔11000101010≥⨤⩑≮⫘↔10111010010)⨓(≮⫘↔10111101001∝≮⫘↔10110100011)⇣⩺⋵(≮⫘↔10010001100≒∊≮⫘↔111111001111)⊮⊟↴(⊈≮⫘↔11101100100))","cot":[{"info":"≮⫘↔10010101010⫒⫫≮⫘↔1111101110=NaN","layer":3},{"info":"≮⫘↔10101011111∀⇚≩≮⫘↔100101010010=NaN","layer":3},{"info":"NaN⩧⪆NaN=NaN","layer":2},{"info":"≮⫘↔101101101001≴⪞⇿≮⫘↔110010011000=≮⫘↔110101011111110101101010","layer":3},{"info":"⪫⨮⊛≮⫘↔110101011111110101101010=NaN","layer":2},{"info":"NaN⨭⪣NaN=≮⫘↔-10101","layer":1},{"info":"≮⫘↔11000101010≥⨤⩑≮⫘↔10111010010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10111101001∝≮⫘↔10110100011=≮⫘↔10111101110","layer":3},{"info":"≮⫘↔10011010010⨓≮⫘↔10111101110=≮⫘↔-10111110001","layer":2},{"info":"≮⫘↔10010001100≒∊≮⫘↔111111001111=≮⫘↔-1010101000","layer":3},{"info":"⊈≮⫘↔11101100100=≮⫘↔-100000010010","layer":3},{"info":"≮⫘↔-1010101000⊮⊟↴≮⫘↔-100000010010=≮⫘↔10100110000011101","layer":2},{"info":"≮⫘↔-10111110001⇣⩺⋵≮⫘↔10100110000011101=≮⫘↔-101010111111000000","layer":1},{"info":"≮⫘↔-10101⨻⩈⩔≮⫘↔-101010111111000000=≮⫘↔-10101110","layer":0}]}
{"id":621,"expression_no_base_symbol":"(($4114$↞⋁$5708$⊴($8084$⨫⇇↔$6534$))∓⋝(∜⨇($2531$≓∲$1254$)))↞⋁(($1189$≥⨤⩑$6120$)⋝⋈⪟($9234$⨎⋸⪻)⫲≸⪮($2512$⪕$4424$)≹⇙⪍$6583$⪝$4326$)","expression":"((≮⫘↔1000000010010↞⋁≮⫘↔1011001001100⊴(≮⫘↔1111110010100⨫⇇↔≮⫘↔1100110000110))∓⋝(∜⨇(≮⫘↔100111100011≓∲≮⫘↔10011100110)))↞⋁((≮⫘↔10010100101≥⨤⩑≮⫘↔1011111101000)⋝⋈⪟(≮⫘↔10010000010010⨎⋸⪻)⫲≸⪮(≮⫘↔100111010000⪕≮⫘↔1000101001000)≹⇙⪍≮⫘↔1100110110111⪝≮⫘↔1000011100110)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2708,"operation_count":14,"complexity_ratio":193.42857142857142,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4114,"base":2},"right_expr":{"type":"numeric_atoms","value":5708,"base":2}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":8084,"base":2},"right_expr":{"type":"numeric_atoms","value":6534,"base":2}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2531,"base":2},"right_expr":{"type":"numeric_atoms","value":1254,"base":2}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1189,"base":2},"right_expr":{"type":"numeric_atoms","value":6120,"base":2}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":9234,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2512,"base":2},"right_expr":{"type":"numeric_atoms","value":4424,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6583,"base":2},"right_expr":{"type":"numeric_atoms","value":4326,"base":2}}}}},"used_operators":["RqrPlJkxDo","PoHhknlbAi","Nsiff2A1zJ","LXhwmt4mBO","uFPyJr306J","s1XTVnmDOJ","P3lXMJvFrc","2DDjHMKMc0","gJLn6v0xnP","Dk5vyLCiGd","AHs5Up7iyr","umQnsF7QlU","wicAB68Tmb"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","dWAJyo7jo9","14qkJME0vr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","IWmyXbctLI","dWAJyo7jo9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4114","layer":4},{"info":"number node, value=5708","layer":4},{"info":"compute binary expreesion, left_input=4114, right_input=5708, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=8084","layer":4},{"info":"number node, value=6534","layer":4},{"info":"compute binary expreesion, left_input=8084, right_input=6534, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2531","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=1254, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=26093","layer":3},{"info":"compute unary expreesion, input=26093, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1189","layer":4},{"info":"number node, value=6120","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=6120, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=9234","layer":4},{"info":"compute unary expreesion, input=9234, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=18784","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=18784, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1234","layer":2},{"info":"number node, value=2512","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=4424, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1501","layer":3},{"info":"number node, value=6583","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=6583, right_input=4326, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-9427","layer":3},{"info":"compute binary expreesion, left_input=1501, right_input=-9427, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=1234, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000000010010↞⋁≮⫘↔1011001001100⊴(≮⫘↔1111110010100⨫⇇↔≮⫘↔1100110000110))∓⋝(∜⨇(≮⫘↔100111100011≓∲≮⫘↔10011100110)))↞⋁((≮⫘↔10010100101≥⨤⩑≮⫘↔1011111101000)⋝⋈⪟(≮⫘↔10010000010010⨎⋸⪻)⫲≸⪮(≮⫘↔100111010000⪕≮⫘↔1000101001000)≹⇙⪍≮⫘↔1100110110111⪝≮⫘↔1000011100110)=NaN","reverse_text":"NaN=((≮⫘↔1000000010010↞⋁≮⫘↔1011001001100⊴(≮⫘↔1111110010100⨫⇇↔≮⫘↔1100110000110))∓⋝(∜⨇(≮⫘↔100111100011≓∲≮⫘↔10011100110)))↞⋁((≮⫘↔10010100101≥⨤⩑≮⫘↔1011111101000)⋝⋈⪟(≮⫘↔10010000010010⨎⋸⪻)⫲≸⪮(≮⫘↔100111010000⪕≮⫘↔1000101001000)≹⇙⪍≮⫘↔1100110110111⪝≮⫘↔1000011100110)","cot":[{"info":"≮⫘↔1000000010010↞⋁≮⫘↔1011001001100=NaN","layer":3},{"info":"≮⫘↔1111110010100⨫⇇↔≮⫘↔1100110000110=≮⫘↔-1000001111","layer":3},{"info":"NaN⊴≮⫘↔-1000001111=NaN","layer":2},{"info":"≮⫘↔100111100011≓∲≮⫘↔10011100110=≮⫘↔110010111101101","layer":3},{"info":"∜⨇≮⫘↔110010111101101=NaN","layer":2},{"info":"NaN∓⋝NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10010100101≥⨤⩑≮⫘↔1011111101000=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10010000010010⨎⋸⪻=≮⫘↔100100101100000","layer":3},{"info":"≮⫘↔10011010010⋝⋈⪟≮⫘↔100100101100000=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔100111010000⪕≮⫘↔1000101001000=≮⫘↔10111011101","layer":3},{"info":"≮⫘↔1100110110111⪝≮⫘↔1000011100110=≮⫘↔-10010011010011","layer":3},{"info":"≮⫘↔10111011101≹⇙⪍≮⫘↔-10010011010011=NaN","layer":2},{"info":"≮⫘↔10011010010⫲≸⪮NaN=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔1000011↞⋁≮⫘↔10011010010=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"((∤↝($1317$⫢⨠$1540$))∪⫐(($1607$∥⊢⊲$1866$)≝⊰⇂))⨔⇊(⇉-⫰($2331$⩼⇪↪$3605$)↓$3072$⨽∌$1334$)","expression":"((∤↝(≮⫘↔10100100101⫢⨠≮⫘↔11000000100))∪⫐((≮⫘↔11001000111∥⊢⊲≮⫘↔11101001010)≝⊰⇂))⨔⇊(⇉-⫰(≮⫘↔100100011011⩼⇪↪≮⫘↔111000010101)↓≮⫘↔110000000000⨽∌≮⫘↔10100110110)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1340,"operation_count":10,"complexity_ratio":134.0,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1317,"base":2},"right_expr":{"type":"numeric_atoms","value":1540,"base":2}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1607,"base":2},"right_expr":{"type":"numeric_atoms","value":1866,"base":2}}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2331,"base":2},"right_expr":{"type":"numeric_atoms","value":3605,"base":2}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3072,"base":2},"right_expr":{"type":"numeric_atoms","value":1334,"base":2}}}}},"used_operators":["JclMnS0uGI","7YooWSwCyH","3UMq87Qwqg","xlXykHWxX1","htSmYCowi5","v1UQAVDJRr","IGFM8TAlm9","Af076pWI7l","ocnLzx9CaJ","9samAPKr6k"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","DlLNRPXxWL","EBcxylXtPf","rGHVDoGpnC","eH2TOUuTDT","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"≮⫘↔10100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1540, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=160","layer":2},{"info":"number node, value=1607","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=1866, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=160","layer":1},{"info":"number node, value=2331","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=3605, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-21356","layer":3},{"info":"number node, value=3072","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=1334, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21356, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":2},{"info":"compute unary expreesion, input=-242, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=20, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=20","layer":0}],"base":2,"result_base":2,"text":"((∤↝(≮⫘↔10100100101⫢⨠≮⫘↔11000000100))∪⫐((≮⫘↔11001000111∥⊢⊲≮⫘↔11101001010)≝⊰⇂))⨔⇊(⇉-⫰(≮⫘↔100100011011⩼⇪↪≮⫘↔111000010101)↓≮⫘↔110000000000⨽∌≮⫘↔10100110110)=≮⫘↔10100","reverse_text":"≮⫘↔10100=((∤↝(≮⫘↔10100100101⫢⨠≮⫘↔11000000100))∪⫐((≮⫘↔11001000111∥⊢⊲≮⫘↔11101001010)≝⊰⇂))⨔⇊(⇉-⫰(≮⫘↔100100011011⩼⇪↪≮⫘↔111000010101)↓≮⫘↔110000000000⨽∌≮⫘↔10100110110)","cot":[{"info":"≮⫘↔10100100101⫢⨠≮⫘↔11000000100=≮⫘↔10100000","layer":3},{"info":"∤↝≮⫘↔10100000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔11001000111∥⊢⊲≮⫘↔11101001010=NaN","layer":3},{"info":"NaN≝⊰⇂=NaN","layer":2},{"info":"≮⫘↔10100000∪⫐NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔100100011011⩼⇪↪≮⫘↔111000010101=≮⫘↔-101001101101100","layer":3},{"info":"≮⫘↔110000000000⨽∌≮⫘↔10100110110=≮⫘↔0","layer":3},{"info":"≮⫘↔-101001101101100↓≮⫘↔0=≮⫘↔-11110010","layer":2},{"info":"⇉-⫰≮⫘↔-11110010=≮⫘↔10100","layer":1},{"info":"≮⫘↔10100000⨔⇊≮⫘↔10100=≮⫘↔10100","layer":0}]}
{"id":623,"expression_no_base_symbol":"(-$2020$≥⨤⩑$1034$⪛⫼$4185$⇴$4329$)≹⇙⪍((⇁⨣⪵$1965$⋳⪒$1031$)⇼⇔∾($2047$⋅⇍$2032$)≹⇙⪍$6114$⋥⋵⩄$1684$)","expression":"(-≮⫘↔11111100100≥⨤⩑≮⫘↔10000001010⪛⫼≮⫘↔1000001011001⇴≮⫘↔1000011101001)≹⇙⪍((⇁⨣⪵≮⫘↔11110101101⋳⪒≮⫘↔10000000111)⇼⇔∾(≮⫘↔11111111111⋅⇍≮⫘↔11111110000)≹⇙⪍≮⫘↔1011111100010⋥⋵⩄≮⫘↔11010010100)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12953,"operation_count":11,"complexity_ratio":1177.5454545454545,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2020,"base":2},"right_expr":{"type":"numeric_atoms","value":1034,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4185,"base":2},"right_expr":{"type":"numeric_atoms","value":4329,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1965,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2047,"base":2},"right_expr":{"type":"numeric_atoms","value":2032,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":6114,"base":2},"right_expr":{"type":"numeric_atoms","value":1684,"base":2}}}}},"used_operators":["AHs5Up7iyr","t8gj7n24qd","hyuBjUqXlG","gJLn6v0xnP","4JB6nKBMSY","tifHPKVTfV","inkyxCbjAn","12rbrZMWeM","AdZkA7nFnk","7t3wd0Fuz7"],"dependent_operators":["dWAJyo7jo9","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2020","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1034, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=4185","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=4329, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=33382","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=33382, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-968","layer":1},{"info":"number node, value=1965","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=1031, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2612","layer":3},{"info":"compute unary expreesion, input=2612, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2047","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=2032, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=6114","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=6114, right_input=1684, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=113, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-968, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(-≮⫘↔11111100100≥⨤⩑≮⫘↔10000001010⪛⫼≮⫘↔1000001011001⇴≮⫘↔1000011101001)≹⇙⪍((⇁⨣⪵≮⫘↔11110101101⋳⪒≮⫘↔10000000111)⇼⇔∾(≮⫘↔11111111111⋅⇍≮⫘↔11111110000)≹⇙⪍≮⫘↔1011111100010⋥⋵⩄≮⫘↔11010010100)=NaN","reverse_text":"NaN=(-≮⫘↔11111100100≥⨤⩑≮⫘↔10000001010⪛⫼≮⫘↔1000001011001⇴≮⫘↔1000011101001)≹⇙⪍((⇁⨣⪵≮⫘↔11110101101⋳⪒≮⫘↔10000000111)⇼⇔∾(≮⫘↔11111111111⋅⇍≮⫘↔11111110000)≹⇙⪍≮⫘↔1011111100010⋥⋵⩄≮⫘↔11010010100)","cot":[{"info":"≮⫘↔11111100100≥⨤⩑≮⫘↔10000001010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1000001011001⇴≮⫘↔1000011101001=≮⫘↔1000001001100110","layer":3},{"info":"≮⫘↔10011010010⪛⫼≮⫘↔1000001001100110=≮⫘↔1111001000","layer":2},{"info":"-≮⫘↔1111001000=≮⫘↔-1111001000","layer":1},{"info":"≮⫘↔11110101101⋳⪒≮⫘↔10000000111=≮⫘↔101000110100","layer":3},{"info":"⇁⨣⪵≮⫘↔101000110100=NaN","layer":2},{"info":"≮⫘↔11111111111⋅⇍≮⫘↔11111110000=≮⫘↔-10110","layer":3},{"info":"≮⫘↔1011111100010⋥⋵⩄≮⫘↔11010010100=≮⫘↔1110001","layer":3},{"info":"≮⫘↔-10110≹⇙⪍≮⫘↔1110001=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔-1111001000≹⇙⪍NaN=NaN","layer":0}]}
{"id":624,"expression_no_base_symbol":"(⪝⪂⫅($1025$⨰$1712$⪓⨏))⊲⩕⊾(⩪∧⨌(⨵($2916$⊾⪯⋞$1511$)))","expression":"(⪝⪂⫅(≮⫘↔10000000001⨰≮⫘↔11010110000⪓⨏))⊲⩕⊾(⩪∧⨌(⨵(≮⫘↔101101100100⊾⪯⋞≮⫘↔10111100111)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1000,"operation_count":7,"complexity_ratio":142.85714285714286,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1025,"base":2},"right_expr":{"type":"numeric_atoms","value":1712,"base":2}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2916,"base":2},"right_expr":{"type":"numeric_atoms","value":1511,"base":2}}}}},"used_operators":["DmTXOeWf9t","XTarYq4gQB","4X9JU4Jbn6","eewbuw0ToL","6iOiAJX1F8","Tl3Y52tvF8","HK0tfVPux8"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1712, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-677","layer":3},{"info":"compute unary expreesion, input=-677, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=2916","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=1511, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2596","layer":3},{"info":"compute unary expreesion, input=2596, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-21977","layer":2},{"info":"compute unary expreesion, input=-21977, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-219770","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-219770, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅(≮⫘↔10000000001⨰≮⫘↔11010110000⪓⨏))⊲⩕⊾(⩪∧⨌(⨵(≮⫘↔101101100100⊾⪯⋞≮⫘↔10111100111)))=NaN","reverse_text":"NaN=(⪝⪂⫅(≮⫘↔10000000001⨰≮⫘↔11010110000⪓⨏))⊲⩕⊾(⩪∧⨌(⨵(≮⫘↔101101100100⊾⪯⋞≮⫘↔10111100111)))","cot":[{"info":"≮⫘↔10000000001⨰≮⫘↔11010110000=≮⫘↔-1010100101","layer":3},{"info":"≮⫘↔-1010100101⪓⨏=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"≮⫘↔101101100100⊾⪯⋞≮⫘↔10111100111=≮⫘↔101000100100","layer":3},{"info":"⨵≮⫘↔101000100100=≮⫘↔-101010111011001","layer":2},{"info":"⩪∧⨌≮⫘↔-101010111011001=≮⫘↔-110101101001111010","layer":1},{"info":"NaN⊲⩕⊾≮⫘↔-110101101001111010=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"($1562$⨼⩣$2426$⨭⪣$6682$≦↸$5059$)⪢(($3981$⩭)⪍↜⋙(∜⨇$1515$))↱(($7181$⇷$6344$)⨜⨶($1238$∀⋜↑)⨑≵⋬(($2797$⋩≍≻)⩅⪻⪻))","expression":"(≮⫘↔11000011010⨼⩣≮⫘↔100101111010⨭⪣≮⫘↔1101000011010≦↸≮⫘↔1001111000011)⪢((≮⫘↔111110001101⩭)⪍↜⋙(∜⨇≮⫘↔10111101011))↱((≮⫘↔1110000001101⇷≮⫘↔1100011001000)⨜⨶(≮⫘↔10011010110∀⋜↑)⨑≵⋬((≮⫘↔101011101101⋩≍≻)⩅⪻⪻))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":123265,"operation_count":14,"complexity_ratio":8804.642857142857,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1562,"base":2},"right_expr":{"type":"numeric_atoms","value":2426,"base":2}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":6682,"base":2},"right_expr":{"type":"numeric_atoms","value":5059,"base":2}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":3981,"base":2}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1515,"base":2}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7181,"base":2},"right_expr":{"type":"numeric_atoms","value":6344,"base":2}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1238,"base":2}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2797,"base":2}}}}},"used_operators":["SR5kFfdi6N","dWAJyo7jo9","kn8WO9XteQ","JxwMv5le6e","RygbFNSyEJ","L05ObWFQCd","yIPP7u6H5x","uFPyJr306J","XnXgA4xnOs","HiPekx5b7W","mp7IySMOzn","KipPnG1M2J","kHoXpA7yos","WYd1w68Nbz"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","k8jYdgA6NY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"≮⫘↔-110110101010111010001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1562","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=2426, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=6682","layer":4},{"info":"number node, value=5059","layer":4},{"info":"compute binary expreesion, left_input=6682, right_input=5059, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-22801","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22801, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"number node, value=3981","layer":4},{"info":"compute unary expreesion, input=3981, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=1515","layer":4},{"info":"compute unary expreesion, input=1515, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=7181","layer":4},{"info":"number node, value=6344","layer":4},{"info":"compute binary expreesion, left_input=7181, right_input=6344, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12688","layer":3},{"info":"number node, value=1238","layer":4},{"info":"compute unary expreesion, input=1238, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=12688, right_input=-484, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=124759","layer":2},{"info":"number node, value=2797","layer":4},{"info":"compute unary expreesion, input=2797, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=124759, right_input=3979, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=597321","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=597321, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-1791441","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11000011010⨼⩣≮⫘↔100101111010⨭⪣≮⫘↔1101000011010≦↸≮⫘↔1001111000011)⪢((≮⫘↔111110001101⩭)⪍↜⋙(∜⨇≮⫘↔10111101011))↱((≮⫘↔1110000001101⇷≮⫘↔1100011001000)⨜⨶(≮⫘↔10011010110∀⋜↑)⨑≵⋬((≮⫘↔101011101101⋩≍≻)⩅⪻⪻))=≮⫘↔-110110101010111010001","reverse_text":"≮⫘↔-110110101010111010001=(≮⫘↔11000011010⨼⩣≮⫘↔100101111010⨭⪣≮⫘↔1101000011010≦↸≮⫘↔1001111000011)⪢((≮⫘↔111110001101⩭)⪍↜⋙(∜⨇≮⫘↔10111101011))↱((≮⫘↔1110000001101⇷≮⫘↔1100011001000)⨜⨶(≮⫘↔10011010110∀⋜↑)⨑≵⋬((≮⫘↔101011101101⋩≍≻)⩅⪻⪻))","cot":[{"info":"≮⫘↔11000011010⨼⩣≮⫘↔100101111010=NaN","layer":3},{"info":"≮⫘↔1101000011010≦↸≮⫘↔1001111000011=≮⫘↔-101100100010001","layer":3},{"info":"NaN⨭⪣≮⫘↔-101100100010001=NaN","layer":2},{"info":"≮⫘↔111110001101⩭=NaN","layer":3},{"info":"∜⨇≮⫘↔10111101011=NaN","layer":3},{"info":"NaN⪍↜⋙NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"≮⫘↔1110000001101⇷≮⫘↔1100011001000=≮⫘↔11000110010000","layer":3},{"info":"≮⫘↔10011010110∀⋜↑=≮⫘↔-111100100","layer":3},{"info":"≮⫘↔11000110010000⨜⨶≮⫘↔-111100100=≮⫘↔11110011101010111","layer":2},{"info":"≮⫘↔101011101101⋩≍≻=≮⫘↔-110111","layer":3},{"info":"≮⫘↔-110111⩅⪻⪻=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔11110011101010111⨑≵⋬≮⫘↔111110001011=≮⫘↔10010001110101001001","layer":1},{"info":"NaN↱≮⫘↔10010001110101001001=≮⫘↔-110110101010111010001","layer":0}]}
{"id":626,"expression_no_base_symbol":"(($1429$⨓$1790$⊬⫿⊭)⫃⨇((⇉-⫰$1162$)⪐))⪟⇏(($2613$∙⊟$1552$⋻⩜⩜$3688$≬⇓$1181$)≀⩗∶(⩏⊷≩$5410$)⪉⨛$1177$⪉⨛$4190$)","expression":"((≮⫘↔10110010101⨓≮⫘↔11011111110⊬⫿⊭)⫃⨇((⇉-⫰≮⫘↔10010001010)⪐))⪟⇏((≮⫘↔101000110101∙⊟≮⫘↔11000010000⋻⩜⩜≮⫘↔111001101000≬⇓≮⫘↔10010011101)≀⩗∶(⩏⊷≩≮⫘↔1010100100010)⪉⨛≮⫘↔10010011001⪉⨛≮⫘↔1000001011110)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4956,"operation_count":13,"complexity_ratio":381.2307692307692,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1429,"base":2},"right_expr":{"type":"numeric_atoms","value":1790,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1162,"base":2}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2613,"base":2},"right_expr":{"type":"numeric_atoms","value":1552,"base":2}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3688,"base":2},"right_expr":{"type":"numeric_atoms","value":1181,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":5410,"base":2}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1177,"base":2},"right_expr":{"type":"numeric_atoms","value":4190,"base":2}}}}},"used_operators":["GODebY97qR","09Ly4LVMIf","v0DYgG9ikt","3ViojmjbAp","eH2TOUuTDT","IGFM8TAlm9","8INZBEW696","oDCm7WA9JY","SxTAKzQCrw","jWTQ2TZYIH","EWw2JM7wp4","uOZ1tnYMDE"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","12rbrZMWeM"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=1790, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1793","layer":3},{"info":"compute unary expreesion, input=-1793, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=2005","layer":2},{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=40","layer":2},{"info":"compute binary expreesion, left_input=2005, right_input=40, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-192","layer":1},{"info":"number node, value=2613","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=2613, right_input=1552, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=43815","layer":3},{"info":"number node, value=3688","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=3688, right_input=1181, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=43815, right_input=-22, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=87630","layer":2},{"info":"number node, value=5410","layer":4},{"info":"compute unary expreesion, input=5410, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=10519","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=4190","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=4190, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-444","layer":3},{"info":"compute binary expreesion, left_input=10519, right_input=-444, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=32216","layer":2},{"info":"compute binary expreesion, left_input=87630, right_input=32216, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-192, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110010101⨓≮⫘↔11011111110⊬⫿⊭)⫃⨇((⇉-⫰≮⫘↔10010001010)⪐))⪟⇏((≮⫘↔101000110101∙⊟≮⫘↔11000010000⋻⩜⩜≮⫘↔111001101000≬⇓≮⫘↔10010011101)≀⩗∶(⩏⊷≩≮⫘↔1010100100010)⪉⨛≮⫘↔10010011001⪉⨛≮⫘↔1000001011110)=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔10110010101⨓≮⫘↔11011111110⊬⫿⊭)⫃⨇((⇉-⫰≮⫘↔10010001010)⪐))⪟⇏((≮⫘↔101000110101∙⊟≮⫘↔11000010000⋻⩜⩜≮⫘↔111001101000≬⇓≮⫘↔10010011101)≀⩗∶(⩏⊷≩≮⫘↔1010100100010)⪉⨛≮⫘↔10010011001⪉⨛≮⫘↔1000001011110)","cot":[{"info":"≮⫘↔10110010101⨓≮⫘↔11011111110=≮⫘↔-11100000001","layer":3},{"info":"≮⫘↔-11100000001⊬⫿⊭=≮⫘↔11111010101","layer":2},{"info":"⇉-⫰≮⫘↔10010001010=≮⫘↔10100","layer":3},{"info":"≮⫘↔10100⪐=≮⫘↔101000","layer":2},{"info":"≮⫘↔11111010101⫃⨇≮⫘↔101000=≮⫘↔-11000000","layer":1},{"info":"≮⫘↔101000110101∙⊟≮⫘↔11000010000=≮⫘↔1010101100100111","layer":3},{"info":"≮⫘↔111001101000≬⇓≮⫘↔10010011101=≮⫘↔-10110","layer":3},{"info":"≮⫘↔1010101100100111⋻⩜⩜≮⫘↔-10110=≮⫘↔10101011001001110","layer":2},{"info":"⩏⊷≩≮⫘↔1010100100010=≮⫘↔10100100010111","layer":3},{"info":"≮⫘↔10010011001⪉⨛≮⫘↔1000001011110=≮⫘↔-110111100","layer":3},{"info":"≮⫘↔10100100010111⪉⨛≮⫘↔-110111100=≮⫘↔111110111011000","layer":2},{"info":"≮⫘↔10101011001001110≀⩗∶≮⫘↔111110111011000=≮⫘↔0","layer":1},{"info":"≮⫘↔-11000000⪟⇏≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":627,"expression_no_base_symbol":"⇐((($8549$⫻⋑⊟)∑⇟⊟$6720$⨸$2098$)∘($5896$≨$5834$/$2259$⊔$3418$))","expression":"⇐(((≮⫘↔10000101100101⫻⋑⊟)∑⇟⊟≮⫘↔1101001000000⨸≮⫘↔100000110010)∘(≮⫘↔1011100001000≨≮⫘↔1011011001010/≮⫘↔100011010011⊔≮⫘↔110101011010))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6984,"operation_count":8,"complexity_ratio":873.0,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":8549,"base":2}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":6720,"base":2},"right_expr":{"type":"numeric_atoms","value":2098,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5896,"base":2},"right_expr":{"type":"numeric_atoms","value":5834,"base":2}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2259,"base":2},"right_expr":{"type":"numeric_atoms","value":3418,"base":2}}}}},"used_operators":["nmZMaaE0Q9","Z5m6OM72h2","U7g4x0WXJJ","o575Zjdmzy","KmoU8R5UQR","XhwjNDsVaA","0KMCeP1Jsh","E4l6HwMY31"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eH2TOUuTDT","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8549","layer":4},{"info":"compute unary expreesion, input=8549, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-16588","layer":3},{"info":"number node, value=6720","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=6720, right_input=2098, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=13440","layer":3},{"info":"compute binary expreesion, left_input=-16588, right_input=13440, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5896","layer":4},{"info":"number node, value=5834","layer":4},{"info":"compute binary expreesion, left_input=5896, right_input=5834, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-56484","layer":3},{"info":"number node, value=2259","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=3418, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=19208","layer":3},{"info":"compute binary expreesion, left_input=-56484, right_input=19208, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇐(((≮⫘↔10000101100101⫻⋑⊟)∑⇟⊟≮⫘↔1101001000000⨸≮⫘↔100000110010)∘(≮⫘↔1011100001000≨≮⫘↔1011011001010/≮⫘↔100011010011⊔≮⫘↔110101011010))=NaN","reverse_text":"NaN=⇐(((≮⫘↔10000101100101⫻⋑⊟)∑⇟⊟≮⫘↔1101001000000⨸≮⫘↔100000110010)∘(≮⫘↔1011100001000≨≮⫘↔1011011001010/≮⫘↔100011010011⊔≮⫘↔110101011010))","cot":[{"info":"≮⫘↔10000101100101⫻⋑⊟=≮⫘↔-100000011001100","layer":3},{"info":"≮⫘↔1101001000000⨸≮⫘↔100000110010=≮⫘↔11010010000000","layer":3},{"info":"≮⫘↔-100000011001100∑⇟⊟≮⫘↔11010010000000=NaN","layer":2},{"info":"≮⫘↔1011100001000≨≮⫘↔1011011001010=≮⫘↔-1101110010100100","layer":3},{"info":"≮⫘↔100011010011⊔≮⫘↔110101011010=≮⫘↔100101100001000","layer":3},{"info":"≮⫘↔-1101110010100100/≮⫘↔100101100001000=≮⫘↔-11","layer":2},{"info":"NaN∘≮⫘↔-11=NaN","layer":1},{"info":"⇐NaN=NaN","layer":0}]}
{"id":628,"expression_no_base_symbol":"(($1191$≴⪞⇿$1756$⫩)⋐⇩⊬)↠","expression":"((≮⫘↔10010100111≴⪞⇿≮⫘↔11011011100⫩)⋐⇩⊬)↠","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":972,"operation_count":4,"complexity_ratio":243.0,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1191,"base":2},"right_expr":{"type":"numeric_atoms","value":1756,"base":2}}}}},"used_operators":["LBdsKIvxzf","JuuLT1NoCs","6aG7x05OhS","lvlrscuwVU"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","dWAJyo7jo9","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"≮⫘↔-110111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1191","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=1756, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1685682","layer":3},{"info":"compute unary expreesion, input=1685682, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010100111≴⪞⇿≮⫘↔11011011100⫩)⋐⇩⊬)↠=≮⫘↔-110111111","reverse_text":"≮⫘↔-110111111=((≮⫘↔10010100111≴⪞⇿≮⫘↔11011011100⫩)⋐⇩⊬)↠","cot":[{"info":"≮⫘↔10010100111≴⪞⇿≮⫘↔11011011100=≮⫘↔110011011100010110010","layer":3},{"info":"≮⫘↔110011011100010110010⫩=NaN","layer":2},{"info":"NaN⋐⇩⊬=NaN","layer":1},{"info":"NaN↠=≮⫘↔-110111111","layer":0}]}
{"id":629,"expression_no_base_symbol":"((($2257$≋⫹)⊊)↪⪝)⊵↤","expression":"(((≮⫘↔100011010001≋⫹)⊊)↪⪝)⊵↤","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":994,"operation_count":4,"complexity_ratio":248.5,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2257,"base":2}}}}},"used_operators":["7IPrd9c3lf","l07mrZUIn9","W9R8I5fN5A","N41Kp7NANJ"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","9HNa5Wba9A","2DDjHMKMc0","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2257","layer":4},{"info":"compute unary expreesion, input=2257, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4514","layer":3},{"info":"compute unary expreesion, input=-4514, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute unary expreesion, input=90927, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔100011010001≋⫹)⊊)↪⪝)⊵↤=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(((≮⫘↔100011010001≋⫹)⊊)↪⪝)⊵↤","cot":[{"info":"≮⫘↔100011010001≋⫹=≮⫘↔-1000110100010","layer":3},{"info":"≮⫘↔-1000110100010⊊=≮⫘↔10110001100101111","layer":2},{"info":"≮⫘↔10110001100101111↪⪝=Inf","layer":1},{"info":"Inf⊵↤=≮⫘↔1000011","layer":0}]}
{"id":630,"expression_no_base_symbol":"(($1373$⩖⊿$5120$)⫞⩸⩒($3606$↱$3018$)⪓⨏)⪁(($3221$∽$1229$)⩚⊴⇥($4195$⊹∫⫚$7543$))≒∊($1598$∳⫺$3663$⨭⪣(⪫⨮⊛$1739$))","expression":"((≮⫘↔10101011101⩖⊿≮⫘↔1010000000000)⫞⩸⩒(≮⫘↔111000010110↱≮⫘↔101111001010)⪓⨏)⪁((≮⫘↔110010010101∽≮⫘↔10011001101)⩚⊴⇥(≮⫘↔1000001100011⊹∫⫚≮⫘↔1110101110111))≒∊(≮⫘↔11000111110∳⫺≮⫘↔111001001111⨭⪣(⪫⨮⊛≮⫘↔11011001011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1097933,"operation_count":12,"complexity_ratio":91494.41666666667,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1373,"base":2},"right_expr":{"type":"numeric_atoms","value":5120,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3606,"base":2},"right_expr":{"type":"numeric_atoms","value":3018,"base":2}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3221,"base":2},"right_expr":{"type":"numeric_atoms","value":1229,"base":2}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4195,"base":2},"right_expr":{"type":"numeric_atoms","value":7543,"base":2}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1598,"base":2},"right_expr":{"type":"numeric_atoms","value":3663,"base":2}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1739,"base":2}}}}},"used_operators":["I7sXao9hZE","4X9JU4Jbn6","XGcMNugi78","RZ5CV9rWsJ","SR5kFfdi6N","5KTvxBwnZo","NTOWxs364D","y4ImoPnbV5","uWAJUKEvyW","kn8WO9XteQ","AzXXKTstlj","w5FWba1tyO"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1373","layer":4},{"info":"number node, value=5120","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=5120, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=35386","layer":3},{"info":"number node, value=3606","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=3606, right_input=3018, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-8532","layer":3},{"info":"compute binary expreesion, left_input=35386, right_input=-8532, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=35386","layer":2},{"info":"compute unary expreesion, input=35386, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"number node, value=3221","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=1229, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-19614","layer":3},{"info":"number node, value=4195","layer":4},{"info":"number node, value=7543","layer":4},{"info":"compute binary expreesion, left_input=4195, right_input=7543, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-320","layer":3},{"info":"compute binary expreesion, left_input=-19614, right_input=-320, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=19813","layer":2},{"info":"number node, value=1598","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=3663, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-872","layer":3},{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-872, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=19813, right_input=-21, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-19329","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19329, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101011101⩖⊿≮⫘↔1010000000000)⫞⩸⩒(≮⫘↔111000010110↱≮⫘↔101111001010)⪓⨏)⪁((≮⫘↔110010010101∽≮⫘↔10011001101)⩚⊴⇥(≮⫘↔1000001100011⊹∫⫚≮⫘↔1110101110111))≒∊(≮⫘↔11000111110∳⫺≮⫘↔111001001111⨭⪣(⪫⨮⊛≮⫘↔11011001011))=NaN","reverse_text":"NaN=((≮⫘↔10101011101⩖⊿≮⫘↔1010000000000)⫞⩸⩒(≮⫘↔111000010110↱≮⫘↔101111001010)⪓⨏)⪁((≮⫘↔110010010101∽≮⫘↔10011001101)⩚⊴⇥(≮⫘↔1000001100011⊹∫⫚≮⫘↔1110101110111))≒∊(≮⫘↔11000111110∳⫺≮⫘↔111001001111⨭⪣(⪫⨮⊛≮⫘↔11011001011))","cot":[{"info":"≮⫘↔10101011101⩖⊿≮⫘↔1010000000000=≮⫘↔1000101000111010","layer":3},{"info":"≮⫘↔111000010110↱≮⫘↔101111001010=≮⫘↔-10000101010100","layer":3},{"info":"≮⫘↔1000101000111010⫞⩸⩒≮⫘↔-10000101010100=≮⫘↔1000101000111010","layer":2},{"info":"≮⫘↔1000101000111010⪓⨏=NaN","layer":1},{"info":"≮⫘↔110010010101∽≮⫘↔10011001101=≮⫘↔-100110010011110","layer":3},{"info":"≮⫘↔1000001100011⊹∫⫚≮⫘↔1110101110111=≮⫘↔-101000000","layer":3},{"info":"≮⫘↔-100110010011110⩚⊴⇥≮⫘↔-101000000=≮⫘↔100110101100101","layer":2},{"info":"≮⫘↔11000111110∳⫺≮⫘↔111001001111=≮⫘↔-1101101000","layer":3},{"info":"⪫⨮⊛≮⫘↔11011001011=NaN","layer":3},{"info":"≮⫘↔-1101101000⨭⪣NaN=≮⫘↔-10101","layer":2},{"info":"≮⫘↔100110101100101≒∊≮⫘↔-10101=≮⫘↔-100101110000001","layer":1},{"info":"NaN⪁≮⫘↔-100101110000001=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"(⋃($7740$⋥≓≎$3852$))⫣⪄⊒((↥≼⋛$1232$)⩵∡$7004$⪡$1910$)∑⇟⊟($2768$⨓$4608$)⨽∌($1666$∽$2389$)⩁⩘((⫵↿$6021$)⫌⩉⩟($6330$⫩⊇))","expression":"(⋃(≮⫘↔1111000111100⋥≓≎≮⫘↔111100001100))⫣⪄⊒((↥≼⋛≮⫘↔10011010000)⩵∡≮⫘↔1101101011100⪡≮⫘↔11101110110)∑⇟⊟(≮⫘↔101011010000⨓≮⫘↔1001000000000)⨽∌(≮⫘↔11010000010∽≮⫘↔100101010101)⩁⩘((⫵↿≮⫘↔1011110000101)⫌⩉⩟(≮⫘↔1100010111010⫩⊇))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":38340,"operation_count":14,"complexity_ratio":2738.5714285714284,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7740,"base":2},"right_expr":{"type":"numeric_atoms","value":3852,"base":2}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1232,"base":2}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":7004,"base":2},"right_expr":{"type":"numeric_atoms","value":1910,"base":2}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2768,"base":2},"right_expr":{"type":"numeric_atoms","value":4608,"base":2}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1666,"base":2},"right_expr":{"type":"numeric_atoms","value":2389,"base":2}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":6021,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6330,"base":2}}}}},"used_operators":["U7g4x0WXJJ","RabNbG55vr","3mBM5G4a3l","Qy55tPpLXF","Y7wcNGrDQJ","x5lMkHmzsq","oraRL2iQuh","gub5Cegaqo","9samAPKr6k","3ViojmjbAp","y4ImoPnbV5","XIIwhv8d0m","ivGwdmUAux","BjRHVeLaeN"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","IWmyXbctLI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","NTOWxs364D","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7740","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=7740, right_input=3852, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=96","layer":2},{"info":"number node, value=1232","layer":4},{"info":"compute unary expreesion, input=1232, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=7004","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=7004, right_input=1910, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=107, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=325","layer":2},{"info":"compute binary expreesion, left_input=96, right_input=325, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=2768","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=4608, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4611","layer":3},{"info":"number node, value=1666","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=2389, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-15319","layer":3},{"info":"compute binary expreesion, left_input=-4611, right_input=-15319, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=6021","layer":4},{"info":"compute unary expreesion, input=6021, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=6330","layer":4},{"info":"compute unary expreesion, input=6330, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6288","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-6288, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋃(≮⫘↔1111000111100⋥≓≎≮⫘↔111100001100))⫣⪄⊒((↥≼⋛≮⫘↔10011010000)⩵∡≮⫘↔1101101011100⪡≮⫘↔11101110110)∑⇟⊟(≮⫘↔101011010000⨓≮⫘↔1001000000000)⨽∌(≮⫘↔11010000010∽≮⫘↔100101010101)⩁⩘((⫵↿≮⫘↔1011110000101)⫌⩉⩟(≮⫘↔1100010111010⫩⊇))=NaN","reverse_text":"NaN=(⋃(≮⫘↔1111000111100⋥≓≎≮⫘↔111100001100))⫣⪄⊒((↥≼⋛≮⫘↔10011010000)⩵∡≮⫘↔1101101011100⪡≮⫘↔11101110110)∑⇟⊟(≮⫘↔101011010000⨓≮⫘↔1001000000000)⨽∌(≮⫘↔11010000010∽≮⫘↔100101010101)⩁⩘((⫵↿≮⫘↔1011110000101)⫌⩉⩟(≮⫘↔1100010111010⫩⊇))","cot":[{"info":"≮⫘↔1111000111100⋥≓≎≮⫘↔111100001100=≮⫘↔-11","layer":3},{"info":"⋃≮⫘↔-11=≮⫘↔1100000","layer":2},{"info":"↥≼⋛≮⫘↔10011010000=≮⫘↔-1110001","layer":3},{"info":"≮⫘↔1101101011100⪡≮⫘↔11101110110=≮⫘↔1101011","layer":3},{"info":"≮⫘↔-1110001⩵∡≮⫘↔1101011=≮⫘↔101000101","layer":2},{"info":"≮⫘↔1100000⫣⪄⊒≮⫘↔101000101=≮⫘↔10100000","layer":1},{"info":"≮⫘↔101011010000⨓≮⫘↔1001000000000=≮⫘↔-1001000000011","layer":3},{"info":"≮⫘↔11010000010∽≮⫘↔100101010101=≮⫘↔-11101111010111","layer":3},{"info":"≮⫘↔-1001000000011⨽∌≮⫘↔-11101111010111=≮⫘↔0","layer":2},{"info":"⫵↿≮⫘↔1011110000101=≮⫘↔10001001","layer":3},{"info":"≮⫘↔1100010111010⫩⊇=≮⫘↔-1100010010000","layer":3},{"info":"≮⫘↔10001001⫌⩉⩟≮⫘↔-1100010010000=≮⫘↔-110010","layer":2},{"info":"≮⫘↔0⩁⩘≮⫘↔-110010=NaN","layer":1},{"info":"≮⫘↔10100000∑⇟⊟NaN=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"(((≋$1525$)⪐)⩨(($1652$⩒⫫$6035$)⩘))≳⇉(⋣((⊖$1849$)⫲≸⪮($1172$≓∲$1021$)))","expression":"(((≋≮⫘↔10111110101)⪐)⩨((≮⫘↔11001110100⩒⫫≮⫘↔1011110010011)⩘))≳⇉(⋣((⊖≮⫘↔11100111001)⫲≸⪮(≮⫘↔10010010100≓∲≮⫘↔1111111101)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":137537,"operation_count":10,"complexity_ratio":13753.7,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1525,"base":2}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1652,"base":2},"right_expr":{"type":"numeric_atoms","value":6035,"base":2}}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1849,"base":2}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1172,"base":2},"right_expr":{"type":"numeric_atoms","value":1021,"base":2}}}}},"used_operators":["V0kx6qeWkN","2DlMacCsIx","eH2TOUuTDT","61wBmkZwlr","wvHyciQT5X","KFSx94NKJn","zQWRhDnn8F","P3lXMJvFrc","U6pG0PXrV3","s1XTVnmDOJ"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","9ICcGScMcE","dfKe02y8D2","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1525","layer":4},{"info":"compute unary expreesion, input=1525, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1525","layer":3},{"info":"compute unary expreesion, input=1525, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3050","layer":2},{"info":"number node, value=1652","layer":4},{"info":"number node, value=6035","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=6035, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1350","layer":3},{"info":"compute unary expreesion, input=1350, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=3050, right_input=67, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1849","layer":4},{"info":"compute unary expreesion, input=1849, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1172","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=1021, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=12503","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12503, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=95","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=95, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≋≮⫘↔10111110101)⪐)⩨((≮⫘↔11001110100⩒⫫≮⫘↔1011110010011)⩘))≳⇉(⋣((⊖≮⫘↔11100111001)⫲≸⪮(≮⫘↔10010010100≓∲≮⫘↔1111111101)))=NaN","reverse_text":"NaN=(((≋≮⫘↔10111110101)⪐)⩨((≮⫘↔11001110100⩒⫫≮⫘↔1011110010011)⩘))≳⇉(⋣((⊖≮⫘↔11100111001)⫲≸⪮(≮⫘↔10010010100≓∲≮⫘↔1111111101)))","cot":[{"info":"≋≮⫘↔10111110101=≮⫘↔10111110101","layer":3},{"info":"≮⫘↔10111110101⪐=≮⫘↔101111101010","layer":2},{"info":"≮⫘↔11001110100⩒⫫≮⫘↔1011110010011=≮⫘↔10101000110","layer":3},{"info":"≮⫘↔10101000110⩘=≮⫘↔1000011","layer":2},{"info":"≮⫘↔101111101010⩨≮⫘↔1000011=≮⫘↔0","layer":1},{"info":"⊖≮⫘↔11100111001=≮⫘↔0","layer":3},{"info":"≮⫘↔10010010100≓∲≮⫘↔1111111101=≮⫘↔11000011010111","layer":3},{"info":"≮⫘↔0⫲≸⪮≮⫘↔11000011010111=≮⫘↔0","layer":2},{"info":"⋣≮⫘↔0=≮⫘↔1011111","layer":1},{"info":"≮⫘↔0≳⇉≮⫘↔1011111=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"(((≘$1337$)⨎⋸⪻)≄⊠($1555$↢$1065$)⫣⪄⊒($4088$⪶≀⋏$1313$))⪥((∐⩳⋚($2342$⨱∎))⩭)","expression":"(((≘≮⫘↔10100111001)⨎⋸⪻)≄⊠(≮⫘↔11000010011↢≮⫘↔10000101001)⫣⪄⊒(≮⫘↔111111111000⪶≀⋏≮⫘↔10100100001))⪥((∐⩳⋚(≮⫘↔100100100110⨱∎))⩭)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":484237,"operation_count":10,"complexity_ratio":48423.7,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1337,"base":2}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1555,"base":2},"right_expr":{"type":"numeric_atoms","value":1065,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4088,"base":2},"right_expr":{"type":"numeric_atoms","value":1313,"base":2}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2342,"base":2}}}}},"used_operators":["QbnwKVWMIQ","vXNesLlMH1","Dk5vyLCiGd","tcjXMdvYtA","RabNbG55vr","WR6HLWljOP","zR4jO40bMj","yIPP7u6H5x","SL6IHkK8vl","MmTdOpaElr"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","IWmyXbctLI","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","tifHPKVTfV"],"result":"≮⫘↔10100110011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":4},{"info":"compute unary expreesion, input=1337, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2948869","layer":3},{"info":"compute unary expreesion, input=2948869, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=5898054","layer":2},{"info":"number node, value=1555","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1065, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1071","layer":3},{"info":"number node, value=4088","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=1313, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15122","layer":3},{"info":"compute binary expreesion, left_input=1071, right_input=-15122, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=5898054, right_input=160, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=2342","layer":4},{"info":"compute unary expreesion, input=2342, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-27694","layer":2},{"info":"compute unary expreesion, input=-27694, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10652","layer":0}],"base":2,"result_base":2,"text":"(((≘≮⫘↔10100111001)⨎⋸⪻)≄⊠(≮⫘↔11000010011↢≮⫘↔10000101001)⫣⪄⊒(≮⫘↔111111111000⪶≀⋏≮⫘↔10100100001))⪥((∐⩳⋚(≮⫘↔100100100110⨱∎))⩭)=≮⫘↔10100110011100","reverse_text":"≮⫘↔10100110011100=(((≘≮⫘↔10100111001)⨎⋸⪻)≄⊠(≮⫘↔11000010011↢≮⫘↔10000101001)⫣⪄⊒(≮⫘↔111111111000⪶≀⋏≮⫘↔10100100001))⪥((∐⩳⋚(≮⫘↔100100100110⨱∎))⩭)","cot":[{"info":"≘≮⫘↔10100111001=≮⫘↔1011001111111100000101","layer":3},{"info":"≮⫘↔1011001111111100000101⨎⋸⪻=≮⫘↔10110011111111101000110","layer":2},{"info":"≮⫘↔11000010011↢≮⫘↔10000101001=≮⫘↔10000101111","layer":3},{"info":"≮⫘↔111111111000⪶≀⋏≮⫘↔10100100001=≮⫘↔-11101100010010","layer":3},{"info":"≮⫘↔10000101111⫣⪄⊒≮⫘↔-11101100010010=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10110011111111101000110≄⊠≮⫘↔10100000=≮⫘↔10111011100","layer":1},{"info":"≮⫘↔100100100110⨱∎=≮⫘↔0","layer":3},{"info":"∐⩳⋚≮⫘↔0=≮⫘↔-110110000101110","layer":2},{"info":"≮⫘↔-110110000101110⩭=NaN","layer":1},{"info":"≮⫘↔10111011100⪥NaN=≮⫘↔10100110011100","layer":0}]}
{"id":634,"expression_no_base_symbol":"($1621$↙$1002$)+⇶⊼$1149$≄⊠$4200$↡⊰⫅($2618$∑⇟⊟$1983$)⫯⪬∳(↩$3368$)⊾⪯⋞(($3764$⨂≜$4778$⪒$2173$∘$2807$)⨑≵⋬(∐⩳⋚($4637$⋛$7871$)))","expression":"(≮⫘↔11001010101↙≮⫘↔1111101010)+⇶⊼≮⫘↔10001111101≄⊠≮⫘↔1000001101000↡⊰⫅(≮⫘↔101000111010∑⇟⊟≮⫘↔11110111111)⫯⪬∳(↩≮⫘↔110100101000)⊾⪯⋞((≮⫘↔111010110100⨂≜≮⫘↔1001010101010⪒≮⫘↔100001111101∘≮⫘↔101011110111)⨑≵⋬(∐⩳⋚(≮⫘↔1001000011101⋛≮⫘↔1111010111111)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5422,"operation_count":14,"complexity_ratio":387.2857142857143,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1621,"base":2},"right_expr":{"type":"numeric_atoms","value":1002,"base":2}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1149,"base":2},"right_expr":{"type":"numeric_atoms","value":4200,"base":2}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2618,"base":2},"right_expr":{"type":"numeric_atoms","value":1983,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3368,"base":2}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3764,"base":2},"right_expr":{"type":"numeric_atoms","value":4778,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2173,"base":2},"right_expr":{"type":"numeric_atoms","value":2807,"base":2}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4637,"base":2},"right_expr":{"type":"numeric_atoms","value":7871,"base":2}}}}},"used_operators":["HK0tfVPux8","VCtxkLNOzz","TpPTUOHfaN","yyfyN0ffXY","vXNesLlMH1","d7ASUq0ydm","U7g4x0WXJJ","jLgFTUHLKL","XnXgA4xnOs","f6k1SAg4EE","k1SHOSEABc","Z5m6OM72h2","SL6IHkK8vl","YbUVn0Rbpy"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=1002, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3006","layer":3},{"info":"number node, value=1149","layer":4},{"info":"number node, value=4200","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=4200, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=71868","layer":3},{"info":"compute binary expreesion, left_input=-3006, right_input=71868, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2618","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=1983, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3368","layer":4},{"info":"compute unary expreesion, input=3368, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-24164","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-24164, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=3764","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=3764, right_input=4778, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2173","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=2807, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4346","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4346, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4637","layer":4},{"info":"number node, value=7871","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=7871, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-90459","layer":3},{"info":"compute unary expreesion, input=-90459, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-26269048","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26269048, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11001010101↙≮⫘↔1111101010)+⇶⊼≮⫘↔10001111101≄⊠≮⫘↔1000001101000↡⊰⫅(≮⫘↔101000111010∑⇟⊟≮⫘↔11110111111)⫯⪬∳(↩≮⫘↔110100101000)⊾⪯⋞((≮⫘↔111010110100⨂≜≮⫘↔1001010101010⪒≮⫘↔100001111101∘≮⫘↔101011110111)⨑≵⋬(∐⩳⋚(≮⫘↔1001000011101⋛≮⫘↔1111010111111)))=NaN","reverse_text":"NaN=(≮⫘↔11001010101↙≮⫘↔1111101010)+⇶⊼≮⫘↔10001111101≄⊠≮⫘↔1000001101000↡⊰⫅(≮⫘↔101000111010∑⇟⊟≮⫘↔11110111111)⫯⪬∳(↩≮⫘↔110100101000)⊾⪯⋞((≮⫘↔111010110100⨂≜≮⫘↔1001010101010⪒≮⫘↔100001111101∘≮⫘↔101011110111)⨑≵⋬(∐⩳⋚(≮⫘↔1001000011101⋛≮⫘↔1111010111111)))","cot":[{"info":"≮⫘↔11001010101↙≮⫘↔1111101010=≮⫘↔-101110111110","layer":3},{"info":"≮⫘↔10001111101≄⊠≮⫘↔1000001101000=≮⫘↔10001100010111100","layer":3},{"info":"≮⫘↔-101110111110+⇶⊼≮⫘↔10001100010111100=NaN","layer":2},{"info":"≮⫘↔101000111010∑⇟⊟≮⫘↔11110111111=NaN","layer":3},{"info":"↩≮⫘↔110100101000=≮⫘↔-101111001100100","layer":3},{"info":"NaN⫯⪬∳≮⫘↔-101111001100100=NaN","layer":2},{"info":"NaN↡⊰⫅NaN=NaN","layer":1},{"info":"≮⫘↔111010110100⨂≜≮⫘↔1001010101010=NaN","layer":3},{"info":"≮⫘↔100001111101∘≮⫘↔101011110111=≮⫘↔1000011111010","layer":3},{"info":"NaN⪒≮⫘↔1000011111010=NaN","layer":2},{"info":"≮⫘↔1001000011101⋛≮⫘↔1111010111111=≮⫘↔-10110000101011011","layer":3},{"info":"∐⩳⋚≮⫘↔-10110000101011011=≮⫘↔-1100100001101010101111000","layer":2},{"info":"NaN⨑≵⋬≮⫘↔-1100100001101010101111000=NaN","layer":1},{"info":"NaN⊾⪯⋞NaN=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"(⪫⨮⊛(⊵⊁($2014$⪢$6695$)))⊟⇱","expression":"(⪫⨮⊛(⊵⊁(≮⫘↔11111011110⪢≮⫘↔1101000100111)))⊟⇱","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":21882,"operation_count":4,"complexity_ratio":5470.5,"tree":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2014,"base":2},"right_expr":{"type":"numeric_atoms","value":6695,"base":2}}}}},"used_operators":["03sUfWo75k","w5FWba1tyO","AvED76WdY7","dWAJyo7jo9"],"dependent_operators":["IWmyXbctLI","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","uBihLCJcMX","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2014","layer":4},{"info":"number node, value=6695","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=6695, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪫⨮⊛(⊵⊁(≮⫘↔11111011110⪢≮⫘↔1101000100111)))⊟⇱=NaN","reverse_text":"NaN=(⪫⨮⊛(⊵⊁(≮⫘↔11111011110⪢≮⫘↔1101000100111)))⊟⇱","cot":[{"info":"≮⫘↔11111011110⪢≮⫘↔1101000100111=NaN","layer":3},{"info":"⊵⊁NaN=NaN","layer":2},{"info":"⪫⨮⊛NaN=NaN","layer":1},{"info":"NaN⊟⇱=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"⇙⪊(⋗⩬⋾($7907$⊋≦⊧$1503$-$3799$≥⨤⩑$1866$))","expression":"⇙⪊(⋗⩬⋾(≮⫘↔1111011100011⊋≦⊧≮⫘↔10111011111-≮⫘↔111011010111≥⨤⩑≮⫘↔11101001010))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":40,"operation_count":5,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7907,"base":2},"right_expr":{"type":"numeric_atoms","value":1503,"base":2}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3799,"base":2},"right_expr":{"type":"numeric_atoms","value":1866,"base":2}}}}},"used_operators":["pB6Fcnrjim","DpFCA1CohY","rysDP5nf3Z","oRDoc9rAEX","gJLn6v0xnP"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7907","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=7907, right_input=1503, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2766","layer":3},{"info":"number node, value=3799","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=3799, right_input=1866, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-2766, right_input=1234, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4000","layer":2},{"info":"compute unary expreesion, input=-4000, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=12000","layer":1},{"info":"compute unary expreesion, input=12000, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"⇙⪊(⋗⩬⋾(≮⫘↔1111011100011⊋≦⊧≮⫘↔10111011111-≮⫘↔111011010111≥⨤⩑≮⫘↔11101001010))=≮⫘↔0","reverse_text":"≮⫘↔0=⇙⪊(⋗⩬⋾(≮⫘↔1111011100011⊋≦⊧≮⫘↔10111011111-≮⫘↔111011010111≥⨤⩑≮⫘↔11101001010))","cot":[{"info":"≮⫘↔1111011100011⊋≦⊧≮⫘↔10111011111=≮⫘↔-101011001110","layer":3},{"info":"≮⫘↔111011010111≥⨤⩑≮⫘↔11101001010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-101011001110-≮⫘↔10011010010=≮⫘↔-111110100000","layer":2},{"info":"⋗⩬⋾≮⫘↔-111110100000=≮⫘↔10111011100000","layer":1},{"info":"⇙⪊≮⫘↔10111011100000=≮⫘↔0","layer":0}]}
{"id":637,"expression_no_base_symbol":"(($9298$↹⊜$2623$⨱∎)⨸⪁(⇨$7139$)⨎($4094$⇩))⩇∃⫛((∐⩳⋚$1576$)∳⫺$5421$⫣⪄⊒$1546$⩒⫫(∤$1651$)⇡⇂($5657$∛$8418$))","expression":"((≮⫘↔10010001010010↹⊜≮⫘↔101000111111⨱∎)⨸⪁(⇨≮⫘↔1101111100011)⨎(≮⫘↔111111111110⇩))⩇∃⫛((∐⩳⋚≮⫘↔11000101000)∳⫺≮⫘↔1010100101101⫣⪄⊒≮⫘↔11000001010⩒⫫(∤≮⫘↔11001110011)⇡⇂(≮⫘↔1011000011001∛≮⫘↔10000011100010))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7088,"operation_count":14,"complexity_ratio":506.2857142857143,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":9298,"base":2},"right_expr":{"type":"numeric_atoms","value":2623,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":7139,"base":2}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":4094,"base":2}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1576,"base":2}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5421,"base":2},"right_expr":{"type":"numeric_atoms","value":1546,"base":2}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1651,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5657,"base":2},"right_expr":{"type":"numeric_atoms","value":8418,"base":2}}}}},"used_operators":["1aApVXNlOP","g55IO6H4Gj","MmTdOpaElr","9bazX3JMtO","rJVOvQCfKK","G9tJMlZ94a","vRio1gEz1j","KFSx94NKJn","AzXXKTstlj","SL6IHkK8vl","RabNbG55vr","UMwdvZNt44","k2HlF1dBQh","w2537kitQq"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","tifHPKVTfV","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"≮⫘↔-10010000010111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9298","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=9298, right_input=2623, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=8008","layer":3},{"info":"compute unary expreesion, input=8008, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"number node, value=7139","layer":4},{"info":"compute unary expreesion, input=7139, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=4094","layer":4},{"info":"compute unary expreesion, input=4094, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=4187","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4187, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4187","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4187, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8374","layer":1},{"info":"number node, value=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=219593","layer":3},{"info":"number node, value=5421","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=5421, right_input=1546, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-9050","layer":3},{"info":"compute binary expreesion, left_input=219593, right_input=-9050, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1651","layer":4},{"info":"compute unary expreesion, input=1651, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=5657","layer":4},{"info":"number node, value=8418","layer":4},{"info":"compute binary expreesion, left_input=5657, right_input=8418, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-670, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-12","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-12, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-1338","layer":1},{"info":"compute binary expreesion, left_input=8374, right_input=-1338, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-9239","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010001010010↹⊜≮⫘↔101000111111⨱∎)⨸⪁(⇨≮⫘↔1101111100011)⨎(≮⫘↔111111111110⇩))⩇∃⫛((∐⩳⋚≮⫘↔11000101000)∳⫺≮⫘↔1010100101101⫣⪄⊒≮⫘↔11000001010⩒⫫(∤≮⫘↔11001110011)⇡⇂(≮⫘↔1011000011001∛≮⫘↔10000011100010))=≮⫘↔-10010000010111","reverse_text":"≮⫘↔-10010000010111=((≮⫘↔10010001010010↹⊜≮⫘↔101000111111⨱∎)⨸⪁(⇨≮⫘↔1101111100011)⨎(≮⫘↔111111111110⇩))⩇∃⫛((∐⩳⋚≮⫘↔11000101000)∳⫺≮⫘↔1010100101101⫣⪄⊒≮⫘↔11000001010⩒⫫(∤≮⫘↔11001110011)⇡⇂(≮⫘↔1011000011001∛≮⫘↔10000011100010))","cot":[{"info":"≮⫘↔10010001010010↹⊜≮⫘↔101000111111=≮⫘↔1111101001000","layer":3},{"info":"≮⫘↔1111101001000⨱∎=≮⫘↔0","layer":2},{"info":"⇨≮⫘↔1101111100011=≮⫘↔0","layer":3},{"info":"≮⫘↔111111111110⇩=≮⫘↔1000001011011","layer":3},{"info":"≮⫘↔0⨎≮⫘↔1000001011011=≮⫘↔1000001011011","layer":2},{"info":"≮⫘↔0⨸⪁≮⫘↔1000001011011=≮⫘↔10000010110110","layer":1},{"info":"∐⩳⋚≮⫘↔11000101000=≮⫘↔110101100111001001","layer":3},{"info":"≮⫘↔1010100101101⫣⪄⊒≮⫘↔11000001010=≮⫘↔-10001101011010","layer":3},{"info":"≮⫘↔110101100111001001∳⫺≮⫘↔-10001101011010=≮⫘↔-100000100","layer":2},{"info":"∤≮⫘↔11001110011=≮⫘↔1001","layer":3},{"info":"≮⫘↔1011000011001∛≮⫘↔10000011100010=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔1001⇡⇂≮⫘↔-1010011110=≮⫘↔-1100","layer":2},{"info":"≮⫘↔-100000100⩒⫫≮⫘↔-1100=≮⫘↔-10100111010","layer":1},{"info":"≮⫘↔10000010110110⩇∃⫛≮⫘↔-10100111010=≮⫘↔-10010000010111","layer":0}]}
{"id":638,"expression_no_base_symbol":"((↑$1581$)≝⊿(⪝⪂⫅$3705$)⫢⨠(∤(↥≼⋛$2913$)))+⪬∐(($1010$≄⊠$1047$)+⪬∐$1018$⨜⨶$4202$≒∊($4884$∕⩚$1030$)≠≀(⋗⩬⋾$3838$))","expression":"((↑≮⫘↔11000101101)≝⊿(⪝⪂⫅≮⫘↔111001111001)⫢⨠(∤(↥≼⋛≮⫘↔101101100001)))+⪬∐((≮⫘↔1111110010≄⊠≮⫘↔10000010111)+⪬∐≮⫘↔1111111010⨜⨶≮⫘↔1000001101010≒∊(≮⫘↔1001100010100∕⩚≮⫘↔10000000110)≠≀(⋗⩬⋾≮⫘↔111011111110))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":126239,"operation_count":14,"complexity_ratio":9017.07142857143,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1581,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3705,"base":2}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2913,"base":2}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1010,"base":2},"right_expr":{"type":"numeric_atoms","value":1047,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1018,"base":2},"right_expr":{"type":"numeric_atoms","value":4202,"base":2}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4884,"base":2},"right_expr":{"type":"numeric_atoms","value":1030,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3838,"base":2}}}}},"used_operators":["2GS7woTJqF","xlXykHWxX1","OKKcZfAt5B","tR7O2zTn5j","XTarYq4gQB","k2HlF1dBQh","x5lMkHmzsq","5KTvxBwnZo","vXNesLlMH1","HiPekx5b7W","IwW236VD4Y","z9ffQ9n5Zr","DpFCA1CohY"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","12rbrZMWeM","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-111100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=3705","layer":4},{"info":"compute unary expreesion, input=3705, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-544635","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-544635, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=1088545","layer":2},{"info":"number node, value=2913","layer":4},{"info":"compute unary expreesion, input=2913, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute unary expreesion, input=-113, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=1088545, right_input=9, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=1010","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=1047, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=21420","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=4202","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=4202, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-8148","layer":3},{"info":"compute binary expreesion, left_input=21420, right_input=-8148, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-64260","layer":2},{"info":"number node, value=4884","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=4884, right_input=1030, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4887","layer":3},{"info":"number node, value=3838","layer":4},{"info":"compute unary expreesion, input=3838, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11514","layer":3},{"info":"compute binary expreesion, left_input=-4887, right_input=-11514, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=16280","layer":2},{"info":"compute binary expreesion, left_input=-64260, right_input=16280, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=64744","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=64744, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-480","layer":0}],"base":2,"result_base":2,"text":"((↑≮⫘↔11000101101)≝⊿(⪝⪂⫅≮⫘↔111001111001)⫢⨠(∤(↥≼⋛≮⫘↔101101100001)))+⪬∐((≮⫘↔1111110010≄⊠≮⫘↔10000010111)+⪬∐≮⫘↔1111111010⨜⨶≮⫘↔1000001101010≒∊(≮⫘↔1001100010100∕⩚≮⫘↔10000000110)≠≀(⋗⩬⋾≮⫘↔111011111110))=≮⫘↔-111100000","reverse_text":"≮⫘↔-111100000=((↑≮⫘↔11000101101)≝⊿(⪝⪂⫅≮⫘↔111001111001)⫢⨠(∤(↥≼⋛≮⫘↔101101100001)))+⪬∐((≮⫘↔1111110010≄⊠≮⫘↔10000010111)+⪬∐≮⫘↔1111111010⨜⨶≮⫘↔1000001101010≒∊(≮⫘↔1001100010100∕⩚≮⫘↔10000000110)≠≀(⋗⩬⋾≮⫘↔111011111110))","cot":[{"info":"↑≮⫘↔11000101101=≮⫘↔11000000","layer":3},{"info":"⪝⪂⫅≮⫘↔111001111001=≮⫘↔-10000100111101111011","layer":3},{"info":"≮⫘↔11000000≝⊿≮⫘↔-10000100111101111011=≮⫘↔100001001110000100001","layer":2},{"info":"↥≼⋛≮⫘↔101101100001=≮⫘↔-1110001","layer":3},{"info":"∤≮⫘↔-1110001=≮⫘↔1001","layer":2},{"info":"≮⫘↔100001001110000100001⫢⨠≮⫘↔1001=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1111110010≄⊠≮⫘↔10000010111=≮⫘↔101001110101100","layer":3},{"info":"≮⫘↔1111111010⨜⨶≮⫘↔1000001101010=≮⫘↔-1111111010100","layer":3},{"info":"≮⫘↔101001110101100+⪬∐≮⫘↔-1111111010100=≮⫘↔-1111101100000100","layer":2},{"info":"≮⫘↔1001100010100∕⩚≮⫘↔10000000110=≮⫘↔-1001100010111","layer":3},{"info":"⋗⩬⋾≮⫘↔111011111110=≮⫘↔-10110011111010","layer":3},{"info":"≮⫘↔-1001100010111≠≀≮⫘↔-10110011111010=≮⫘↔11111110011000","layer":2},{"info":"≮⫘↔-1111101100000100≒∊≮⫘↔11111110011000=≮⫘↔1111110011101000","layer":1},{"info":"≮⫘↔10100000+⪬∐≮⫘↔1111110011101000=≮⫘↔-111100000","layer":0}]}
{"id":639,"expression_no_base_symbol":"⇁⨣⪵(∓⪦$6954$)⨚$2837$∺≝⩲$1074$⪍↜⋙((⇖$2559$)⫔⩽⩺$6137$⪥$5225$)","expression":"⇁⨣⪵(∓⪦≮⫘↔1101100101010)⨚≮⫘↔101100010101∺≝⩲≮⫘↔10000110010⪍↜⋙((⇖≮⫘↔100111111111)⫔⩽⩺≮⫘↔1011111111001⪥≮⫘↔1010001101001)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":124,"operation_count":8,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":6954,"base":2}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2837,"base":2},"right_expr":{"type":"numeric_atoms","value":1074,"base":2}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2559,"base":2}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6137,"base":2},"right_expr":{"type":"numeric_atoms","value":5225,"base":2}}}}},"used_operators":["inkyxCbjAn","L05ObWFQCd","nREPSIbpBE","D309nIvmXG","KPf6cnQVty","i9eR4S00cU","tfWHHpNKUN","QbnwKVWMIQ"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Tw270M8GLb","fu6greOZ01","2DQ55sFlQl","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6954","layer":4},{"info":"compute unary expreesion, input=6954, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=6546","layer":3},{"info":"number node, value=2837","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=1074, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=6546, right_input=160, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=13386","layer":2},{"info":"number node, value=2559","layer":4},{"info":"compute unary expreesion, input=2559, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=6137","layer":4},{"info":"number node, value=5225","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=5225, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=29200","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=29200, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13386, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(∓⪦≮⫘↔1101100101010)⨚≮⫘↔101100010101∺≝⩲≮⫘↔10000110010⪍↜⋙((⇖≮⫘↔100111111111)⫔⩽⩺≮⫘↔1011111111001⪥≮⫘↔1010001101001)=NaN","reverse_text":"NaN=⇁⨣⪵(∓⪦≮⫘↔1101100101010)⨚≮⫘↔101100010101∺≝⩲≮⫘↔10000110010⪍↜⋙((⇖≮⫘↔100111111111)⫔⩽⩺≮⫘↔1011111111001⪥≮⫘↔1010001101001)","cot":[{"info":"∓⪦≮⫘↔1101100101010=≮⫘↔1100110010010","layer":3},{"info":"≮⫘↔101100010101∺≝⩲≮⫘↔10000110010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1100110010010⨚≮⫘↔10100000=≮⫘↔11010001001010","layer":2},{"info":"⇖≮⫘↔100111111111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1011111111001⪥≮⫘↔1010001101001=≮⫘↔111001000010000","layer":3},{"info":"≮⫘↔10100000⫔⩽⩺≮⫘↔111001000010000=NaN","layer":2},{"info":"≮⫘↔11010001001010⪍↜⋙NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":640,"expression_no_base_symbol":"⋃((($1153$⋻⩜⩜$2248$)⪍↜⋙($5377$⋻⩜⩜$7205$))⇷($2739$≥⨤⩑$4165$)⫒⫫($7945$⇣⩺⋵$6430$))","expression":"⋃(((≮⫘↔10010000001⋻⩜⩜≮⫘↔100011001000)⪍↜⋙(≮⫘↔1010100000001⋻⩜⩜≮⫘↔1110000100101))⇷(≮⫘↔101010110011≥⨤⩑≮⫘↔1000001000101)⫒⫫(≮⫘↔1111100001001⇣⩺⋵≮⫘↔1100100011110))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":605946,"operation_count":8,"complexity_ratio":75743.25,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1153,"base":2},"right_expr":{"type":"numeric_atoms","value":2248,"base":2}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5377,"base":2},"right_expr":{"type":"numeric_atoms","value":7205,"base":2}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2739,"base":2},"right_expr":{"type":"numeric_atoms","value":4165,"base":2}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":7945,"base":2},"right_expr":{"type":"numeric_atoms","value":6430,"base":2}}}}},"used_operators":["3mBM5G4a3l","mp7IySMOzn","L05ObWFQCd","oDCm7WA9JY","6Ko8hGgeMq","gJLn6v0xnP","F4yD0voBRQ"],"dependent_operators":["g55IO6H4Gj","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=2248, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2306","layer":3},{"info":"number node, value=5377","layer":4},{"info":"number node, value=7205","layer":4},{"info":"compute binary expreesion, left_input=5377, right_input=7205, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10754","layer":3},{"info":"compute binary expreesion, left_input=2306, right_input=10754, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-33821","layer":2},{"info":"number node, value=2739","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=4165, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=7945","layer":4},{"info":"number node, value=6430","layer":4},{"info":"compute binary expreesion, left_input=7945, right_input=6430, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-260, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-33821, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⋃(((≮⫘↔10010000001⋻⩜⩜≮⫘↔100011001000)⪍↜⋙(≮⫘↔1010100000001⋻⩜⩜≮⫘↔1110000100101))⇷(≮⫘↔101010110011≥⨤⩑≮⫘↔1000001000101)⫒⫫(≮⫘↔1111100001001⇣⩺⋵≮⫘↔1100100011110))=NaN","reverse_text":"NaN=⋃(((≮⫘↔10010000001⋻⩜⩜≮⫘↔100011001000)⪍↜⋙(≮⫘↔1010100000001⋻⩜⩜≮⫘↔1110000100101))⇷(≮⫘↔101010110011≥⨤⩑≮⫘↔1000001000101)⫒⫫(≮⫘↔1111100001001⇣⩺⋵≮⫘↔1100100011110))","cot":[{"info":"≮⫘↔10010000001⋻⩜⩜≮⫘↔100011001000=≮⫘↔100100000010","layer":3},{"info":"≮⫘↔1010100000001⋻⩜⩜≮⫘↔1110000100101=≮⫘↔10101000000010","layer":3},{"info":"≮⫘↔100100000010⪍↜⋙≮⫘↔10101000000010=≮⫘↔-1000010000011101","layer":2},{"info":"≮⫘↔101010110011≥⨤⩑≮⫘↔1000001000101=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1111100001001⇣⩺⋵≮⫘↔1100100011110=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔10011010010⫒⫫≮⫘↔-100000100=NaN","layer":2},{"info":"≮⫘↔-1000010000011101⇷NaN=NaN","layer":1},{"info":"⋃NaN=NaN","layer":0}]}
{"id":641,"expression_no_base_symbol":"(($2934$⩌⋺$1577$)≴⪞⇿($4792$≄⊠$5240$)⩘(↯⪼($1019$⋹)))∥⊢⊲($4116$≴⪞⇿$1861$⫥∨⫟($1492$⋷$6712$))≌(≅≯⇸$2216$⋛$3950$)","expression":"((≮⫘↔101101110110⩌⋺≮⫘↔11000101001)≴⪞⇿(≮⫘↔1001010111000≄⊠≮⫘↔1010001111000)⩘(↯⪼(≮⫘↔1111111011⋹)))∥⊢⊲(≮⫘↔1000000010100≴⪞⇿≮⫘↔11101000101⫥∨⫟(≮⫘↔10111010100⋷≮⫘↔1101000111000))≌(≅≯⇸≮⫘↔100010101000⋛≮⫘↔111101101110)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":640994,"operation_count":13,"complexity_ratio":49307.230769230766,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2934,"base":2},"right_expr":{"type":"numeric_atoms","value":1577,"base":2}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4792,"base":2},"right_expr":{"type":"numeric_atoms","value":5240,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1019,"base":2}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4116,"base":2},"right_expr":{"type":"numeric_atoms","value":1861,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1492,"base":2},"right_expr":{"type":"numeric_atoms","value":6712,"base":2}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2216,"base":2},"right_expr":{"type":"numeric_atoms","value":3950,"base":2}}}}},"used_operators":["v1UQAVDJRr","cHh1gJQ2o6","lvlrscuwVU","g7Hmc5v1ko","vXNesLlMH1","8jW3W4yZS5","opAxDRczMr","lyWz822IDG","KYD54nUTWz","23Mk6UjR3U","apS25hmuAe","YbUVn0Rbpy"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2934","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=1577, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4632","layer":3},{"info":"number node, value=4792","layer":4},{"info":"number node, value=5240","layer":4},{"info":"compute binary expreesion, left_input=4792, right_input=5240, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=88508","layer":3},{"info":"compute binary expreesion, left_input=-4632, right_input=88508, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-60084","layer":2},{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute unary expreesion, input=-20, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=-60084, right_input=-21, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=4116","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=4116, right_input=1861, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=29537532","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=6712","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=6712, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11932","layer":3},{"info":"compute binary expreesion, left_input=29537532, right_input=11932, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2216","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=3950, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-112248","layer":3},{"info":"compute unary expreesion, input=-112248, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-441315","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-441315, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101101110110⩌⋺≮⫘↔11000101001)≴⪞⇿(≮⫘↔1001010111000≄⊠≮⫘↔1010001111000)⩘(↯⪼(≮⫘↔1111111011⋹)))∥⊢⊲(≮⫘↔1000000010100≴⪞⇿≮⫘↔11101000101⫥∨⫟(≮⫘↔10111010100⋷≮⫘↔1101000111000))≌(≅≯⇸≮⫘↔100010101000⋛≮⫘↔111101101110)=NaN","reverse_text":"NaN=((≮⫘↔101101110110⩌⋺≮⫘↔11000101001)≴⪞⇿(≮⫘↔1001010111000≄⊠≮⫘↔1010001111000)⩘(↯⪼(≮⫘↔1111111011⋹)))∥⊢⊲(≮⫘↔1000000010100≴⪞⇿≮⫘↔11101000101⫥∨⫟(≮⫘↔10111010100⋷≮⫘↔1101000111000))≌(≅≯⇸≮⫘↔100010101000⋛≮⫘↔111101101110)","cot":[{"info":"≮⫘↔101101110110⩌⋺≮⫘↔11000101001=≮⫘↔-1001000011000","layer":3},{"info":"≮⫘↔1001010111000≄⊠≮⫘↔1010001111000=≮⫘↔10101100110111100","layer":3},{"info":"≮⫘↔-1001000011000≴⪞⇿≮⫘↔10101100110111100=≮⫘↔-1110101010110100","layer":2},{"info":"≮⫘↔1111111011⋹=≮⫘↔-10100","layer":3},{"info":"↯⪼≮⫘↔-10100=≮⫘↔-10101","layer":2},{"info":"≮⫘↔-1110101010110100⩘≮⫘↔-10101=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1000000010100≴⪞⇿≮⫘↔11101000101=≮⫘↔1110000101011010011111100","layer":3},{"info":"≮⫘↔10111010100⋷≮⫘↔1101000111000=≮⫘↔10111010011100","layer":3},{"info":"≮⫘↔1110000101011010011111100⫥∨⫟≮⫘↔10111010011100=NaN","layer":2},{"info":"≮⫘↔100010101000⋛≮⫘↔111101101110=≮⫘↔-11011011001111000","layer":3},{"info":"≅≯⇸≮⫘↔-11011011001111000=≮⫘↔-1101011101111100011","layer":2},{"info":"NaN≌≮⫘↔-1101011101111100011=NaN","layer":1},{"info":"≮⫘↔10100000∥⊢⊲NaN=NaN","layer":0}]}
{"id":642,"expression_no_base_symbol":"∑⇻≧($1134$⇮⋭$5424$)⫁($8629$≀⫉$4031$)⋭≵($3849$⪕$5404$)⪶≀⋏($1398$⨑≵⋬$1159$)","expression":"∑⇻≧(≮⫘↔10001101110⇮⋭≮⫘↔1010100110000)⫁(≮⫘↔10000110110101≀⫉≮⫘↔111110111111)⋭≵(≮⫘↔111100001001⪕≮⫘↔1010100011100)⪶≀⋏(≮⫘↔10101110110⨑≵⋬≮⫘↔10010000111)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":376,"operation_count":8,"complexity_ratio":47.0,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1134,"base":2},"right_expr":{"type":"numeric_atoms","value":5424,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":8629,"base":2},"right_expr":{"type":"numeric_atoms","value":4031,"base":2}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3849,"base":2},"right_expr":{"type":"numeric_atoms","value":5404,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1398,"base":2},"right_expr":{"type":"numeric_atoms","value":1159,"base":2}}}}},"used_operators":["l1M9WJ3V7u","jBncVCNhdl","0ajvFaJAv0","vkpjKywKVM","oZj3VtZNQx","zR4jO40bMj","umQnsF7QlU","XnXgA4xnOs"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"≮⫘↔-1101010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1134","layer":4},{"info":"number node, value=5424","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=5424, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=8629","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=8629, right_input=4031, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=2822, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=3849","layer":4},{"info":"number node, value=5404","layer":4},{"info":"compute binary expreesion, left_input=3849, right_input=5404, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3195","layer":3},{"info":"number node, value=1398","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1159, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=256","layer":3},{"info":"compute binary expreesion, left_input=3195, right_input=256, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10329","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-10329, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-75","layer":1},{"info":"compute unary expreesion, input=-75, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":2,"result_base":2,"text":"∑⇻≧(≮⫘↔10001101110⇮⋭≮⫘↔1010100110000)⫁(≮⫘↔10000110110101≀⫉≮⫘↔111110111111)⋭≵(≮⫘↔111100001001⪕≮⫘↔1010100011100)⪶≀⋏(≮⫘↔10101110110⨑≵⋬≮⫘↔10010000111)=≮⫘↔-1101010100","reverse_text":"≮⫘↔-1101010100=∑⇻≧(≮⫘↔10001101110⇮⋭≮⫘↔1010100110000)⫁(≮⫘↔10000110110101≀⫉≮⫘↔111110111111)⋭≵(≮⫘↔111100001001⪕≮⫘↔1010100011100)⪶≀⋏(≮⫘↔10101110110⨑≵⋬≮⫘↔10010000111)","cot":[{"info":"≮⫘↔10001101110⇮⋭≮⫘↔1010100110000=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔10000110110101≀⫉≮⫘↔111110111111=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔-111011001⫁≮⫘↔101100000110=≮⫘↔10100000","layer":2},{"info":"≮⫘↔111100001001⪕≮⫘↔1010100011100=≮⫘↔110001111011","layer":3},{"info":"≮⫘↔10101110110⨑≵⋬≮⫘↔10010000111=≮⫘↔100000000","layer":3},{"info":"≮⫘↔110001111011⪶≀⋏≮⫘↔100000000=≮⫘↔-10100001011001","layer":2},{"info":"≮⫘↔10100000⋭≵≮⫘↔-10100001011001=≮⫘↔-1001011","layer":1},{"info":"∑⇻≧≮⫘↔-1001011=≮⫘↔-1101010100","layer":0}]}
{"id":643,"expression_no_base_symbol":"(($8840$≀⫉$2709$)↞⋁(∂⩏⊆$2749$)⊢($1687$⩇∃⫛$6450$⪕$1302$≀⫉$1389$))⪃⊛⇣(⫡⇟⇯($3810$⫸⊐$8268$)⨼⩣($3865$⪭$3449$))","expression":"((≮⫘↔10001010001000≀⫉≮⫘↔101010010101)↞⋁(∂⩏⊆≮⫘↔101010111101)⊢(≮⫘↔11010010111⩇∃⫛≮⫘↔1100100110010⪕≮⫘↔10100010110≀⫉≮⫘↔10101101101))⪃⊛⇣(⫡⇟⇯(≮⫘↔111011100010⫸⊐≮⫘↔10000001001100)⨼⩣(≮⫘↔111100011001⪭≮⫘↔110101111001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1451,"operation_count":12,"complexity_ratio":120.91666666666667,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":8840,"base":2},"right_expr":{"type":"numeric_atoms","value":2709,"base":2}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2749,"base":2}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1687,"base":2},"right_expr":{"type":"numeric_atoms","value":6450,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1302,"base":2},"right_expr":{"type":"numeric_atoms","value":1389,"base":2}}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3810,"base":2},"right_expr":{"type":"numeric_atoms","value":8268,"base":2}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3865,"base":2},"right_expr":{"type":"numeric_atoms","value":3449,"base":2}}}}},"used_operators":["rrgAzCduG9","5twsqlHp2o","RqrPlJkxDo","oZj3VtZNQx","8WDwsbhb0R","umQnsF7QlU","1aApVXNlOP","qWUSsah53b","JxwMv5le6e","mqXw5SEYmG","j9kHMeSvPp"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","P8v4zCKN1o","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","COABgblf1C","xUOZtlo3hN"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8840","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=8840, right_input=2709, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2749","layer":4},{"info":"compute unary expreesion, input=2749, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-8326","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-8326, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=2822","layer":2},{"info":"number node, value=1687","layer":4},{"info":"number node, value=6450","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=6450, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=5236","layer":3},{"info":"number node, value=1302","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=1389, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=5236, right_input=2822, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8551","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=8551, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5888","layer":1},{"info":"number node, value=3810","layer":4},{"info":"number node, value=8268","layer":4},{"info":"compute binary expreesion, left_input=3810, right_input=8268, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=32947","layer":3},{"info":"number node, value=3865","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=3449, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=32947, right_input=5, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5888, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001010001000≀⫉≮⫘↔101010010101)↞⋁(∂⩏⊆≮⫘↔101010111101)⊢(≮⫘↔11010010111⩇∃⫛≮⫘↔1100100110010⪕≮⫘↔10100010110≀⫉≮⫘↔10101101101))⪃⊛⇣(⫡⇟⇯(≮⫘↔111011100010⫸⊐≮⫘↔10000001001100)⨼⩣(≮⫘↔111100011001⪭≮⫘↔110101111001))=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((≮⫘↔10001010001000≀⫉≮⫘↔101010010101)↞⋁(∂⩏⊆≮⫘↔101010111101)⊢(≮⫘↔11010010111⩇∃⫛≮⫘↔1100100110010⪕≮⫘↔10100010110≀⫉≮⫘↔10101101101))⪃⊛⇣(⫡⇟⇯(≮⫘↔111011100010⫸⊐≮⫘↔10000001001100)⨼⩣(≮⫘↔111100011001⪭≮⫘↔110101111001))","cot":[{"info":"≮⫘↔10001010001000≀⫉≮⫘↔101010010101=≮⫘↔101100000110","layer":3},{"info":"∂⩏⊆≮⫘↔101010111101=≮⫘↔-10000010000110","layer":3},{"info":"≮⫘↔101100000110↞⋁≮⫘↔-10000010000110=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔11010010111⩇∃⫛≮⫘↔1100100110010=≮⫘↔1010001110100","layer":3},{"info":"≮⫘↔10100010110≀⫉≮⫘↔10101101101=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔1010001110100⪕≮⫘↔101100000110=≮⫘↔10000101100111","layer":2},{"info":"≮⫘↔101100000110⊢≮⫘↔10000101100111=≮⫘↔-1011100000000","layer":1},{"info":"≮⫘↔111011100010⫸⊐≮⫘↔10000001001100=≮⫘↔1000000010110011","layer":3},{"info":"≮⫘↔111100011001⪭≮⫘↔110101111001=≮⫘↔101","layer":3},{"info":"≮⫘↔1000000010110011⨼⩣≮⫘↔101=NaN","layer":2},{"info":"⫡⇟⇯NaN=NaN","layer":1},{"info":"≮⫘↔-1011100000000⪃⊛⇣NaN=≮⫘↔10011010010","layer":0}]}
{"id":644,"expression_no_base_symbol":"≤/(⨆≐≲($2016$⇍⊗$1058$))≀⩗∶(↸⊣$1863$⨥⫆$1124$)","expression":"≤/(⨆≐≲(≮⫘↔11111100000⇍⊗≮⫘↔10000100010))≀⩗∶(↸⊣≮⫘↔11101000111⨥⫆≮⫘↔10001100100)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":633,"operation_count":6,"complexity_ratio":105.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2016,"base":2},"right_expr":{"type":"numeric_atoms","value":1058,"base":2}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1863,"base":2},"right_expr":{"type":"numeric_atoms","value":1124,"base":2}}}}},"used_operators":["eLAdDNolq6","8INZBEW696","Bi9z9uYZqW","5uvYHDjeKN","wztAlM01eG","yXekIHxTD4"],"dependent_operators":["rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≮⫘↔111100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2016","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1058, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"number node, value=1863","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=1124, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2124","layer":3},{"info":"compute unary expreesion, input=2124, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1837","layer":2},{"info":"compute binary expreesion, left_input=-168548, right_input=-1837, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":0}],"base":2,"result_base":2,"text":"≤/(⨆≐≲(≮⫘↔11111100000⇍⊗≮⫘↔10000100010))≀⩗∶(↸⊣≮⫘↔11101000111⨥⫆≮⫘↔10001100100)=≮⫘↔111100100","reverse_text":"≮⫘↔111100100=≤/(⨆≐≲(≮⫘↔11111100000⇍⊗≮⫘↔10000100010))≀⩗∶(↸⊣≮⫘↔11101000111⨥⫆≮⫘↔10001100100)","cot":[{"info":"≮⫘↔11111100000⇍⊗≮⫘↔10000100010=≮⫘↔-11110100","layer":3},{"info":"⨆≐≲≮⫘↔-11110100=≮⫘↔-101001001001100100","layer":2},{"info":"≮⫘↔11101000111⨥⫆≮⫘↔10001100100=≮⫘↔100001001100","layer":3},{"info":"↸⊣≮⫘↔100001001100=≮⫘↔-11100101101","layer":2},{"info":"≮⫘↔-101001001001100100≀⩗∶≮⫘↔-11100101101=≮⫘↔0","layer":1},{"info":"≤/≮⫘↔0=≮⫘↔111100100","layer":0}]}
{"id":645,"expression_no_base_symbol":"(($1008$⪭$3329$)≚⊃≕(∥⊫$5772$))⩖⊿(($1007$≥⨤⩑$2270$)⩇∃⫛($1530$⇄$6759$))⊭∹↮","expression":"((≮⫘↔1111110000⪭≮⫘↔110100000001)≚⊃≕(∥⊫≮⫘↔1011010001100))⩖⊿((≮⫘↔1111101111≥⨤⩑≮⫘↔100011011110)⩇∃⫛(≮⫘↔10111111010⇄≮⫘↔1101001100111))⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":83,"operation_count":8,"complexity_ratio":10.375,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1008,"base":2},"right_expr":{"type":"numeric_atoms","value":3329,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5772,"base":2}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1007,"base":2},"right_expr":{"type":"numeric_atoms","value":2270,"base":2}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1530,"base":2},"right_expr":{"type":"numeric_atoms","value":6759,"base":2}}}}},"used_operators":["xNBdhnnwKq","RZ5CV9rWsJ","Bmrmz2XGnR","j9kHMeSvPp","P8v4zCKN1o","1aApVXNlOP","gJLn6v0xnP","3EYGwJThht"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"≮⫘↔1101011011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"number node, value=3329","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=3329, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=5772","layer":4},{"info":"compute unary expreesion, input=5772, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6640","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=6640, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-23406","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2270, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1530","layer":4},{"info":"number node, value=6759","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=6759, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-761","layer":2},{"info":"compute binary expreesion, left_input=-23406, right_input=-761, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=3436","layer":1},{"info":"compute unary expreesion, input=3436, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6872","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111110000⪭≮⫘↔110100000001)≚⊃≕(∥⊫≮⫘↔1011010001100))⩖⊿((≮⫘↔1111101111≥⨤⩑≮⫘↔100011011110)⩇∃⫛(≮⫘↔10111111010⇄≮⫘↔1101001100111))⊭∹↮=≮⫘↔1101011011000","reverse_text":"≮⫘↔1101011011000=((≮⫘↔1111110000⪭≮⫘↔110100000001)≚⊃≕(∥⊫≮⫘↔1011010001100))⩖⊿((≮⫘↔1111101111≥⨤⩑≮⫘↔100011011110)⩇∃⫛(≮⫘↔10111111010⇄≮⫘↔1101001100111))⊭∹↮","cot":[{"info":"≮⫘↔1111110000⪭≮⫘↔110100000001=≮⫘↔101","layer":3},{"info":"∥⊫≮⫘↔1011010001100=≮⫘↔1100111110000","layer":3},{"info":"≮⫘↔101≚⊃≕≮⫘↔1100111110000=≮⫘↔-101101101101110","layer":2},{"info":"≮⫘↔1111101111≥⨤⩑≮⫘↔100011011110=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10111111010⇄≮⫘↔1101001100111=≮⫘↔0","layer":3},{"info":"≮⫘↔10011010010⩇∃⫛≮⫘↔0=≮⫘↔-1011111001","layer":2},{"info":"≮⫘↔-101101101101110⩖⊿≮⫘↔-1011111001=≮⫘↔110101101100","layer":1},{"info":"≮⫘↔110101101100⊭∹↮=≮⫘↔1101011011000","layer":0}]}
{"id":646,"expression_no_base_symbol":"(($3109$⪁$1702$)↳∿⪆$2287$↹⊜$2620$)⇡⇂($3988$↹⊜$6006$∠⫱($4112$⫑))⊍⩺⋍(∑⇻≧(⇉-⫰$3533$))⨸(⨦⪝($1072$≣⋋))","expression":"((≮⫘↔110000100101⪁≮⫘↔11010100110)↳∿⪆≮⫘↔100011101111↹⊜≮⫘↔101000111100)⇡⇂(≮⫘↔111110010100↹⊜≮⫘↔1011101110110∠⫱(≮⫘↔1000000010000⫑))⊍⩺⋍(∑⇻≧(⇉-⫰≮⫘↔110111001101))⨸(⨦⪝(≮⫘↔10000110000≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45037626,"operation_count":13,"complexity_ratio":3464432.769230769,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3109,"base":2},"right_expr":{"type":"numeric_atoms","value":1702,"base":2}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2287,"base":2},"right_expr":{"type":"numeric_atoms","value":2620,"base":2}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3988,"base":2},"right_expr":{"type":"numeric_atoms","value":6006,"base":2}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":4112,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":3533,"base":2}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1072,"base":2}}}}},"used_operators":["OXDGMFPWZM","UMwdvZNt44","Cw4SuJJGHO","I7sXao9hZE","9bazX3JMtO","QvoQhV0rrE","CgIo77xlM2","KmoU8R5UQR","l1M9WJ3V7u","IGFM8TAlm9","SUjycxNXIR","Tcnh7f0tEr"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eH2TOUuTDT","eewbuw0ToL","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3109","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=3109, right_input=1702, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=2287","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=2620, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6002","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6002, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3988","layer":4},{"info":"number node, value=6006","layer":4},{"info":"compute binary expreesion, left_input=3988, right_input=6006, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-16144","layer":3},{"info":"number node, value=4112","layer":4},{"info":"compute unary expreesion, input=4112, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=-16144, right_input=3979, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=3533","layer":4},{"info":"compute unary expreesion, input=3533, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=-1884, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=353278","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=353278, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110000100101⪁≮⫘↔11010100110)↳∿⪆≮⫘↔100011101111↹⊜≮⫘↔101000111100)⇡⇂(≮⫘↔111110010100↹⊜≮⫘↔1011101110110∠⫱(≮⫘↔1000000010000⫑))⊍⩺⋍(∑⇻≧(⇉-⫰≮⫘↔110111001101))⨸(⨦⪝(≮⫘↔10000110000≣⋋))=NaN","reverse_text":"NaN=((≮⫘↔110000100101⪁≮⫘↔11010100110)↳∿⪆≮⫘↔100011101111↹⊜≮⫘↔101000111100)⇡⇂(≮⫘↔111110010100↹⊜≮⫘↔1011101110110∠⫱(≮⫘↔1000000010000⫑))⊍⩺⋍(∑⇻≧(⇉-⫰≮⫘↔110111001101))⨸(⨦⪝(≮⫘↔10000110000≣⋋))","cot":[{"info":"≮⫘↔110000100101⪁≮⫘↔11010100110=NaN","layer":3},{"info":"≮⫘↔100011101111↹⊜≮⫘↔101000111100=≮⫘↔-1011101110010","layer":3},{"info":"NaN↳∿⪆≮⫘↔-1011101110010=NaN","layer":2},{"info":"≮⫘↔111110010100↹⊜≮⫘↔1011101110110=≮⫘↔-11111100010000","layer":3},{"info":"≮⫘↔1000000010000⫑=≮⫘↔111110001011","layer":3},{"info":"≮⫘↔-11111100010000∠⫱≮⫘↔111110001011=≮⫘↔10011010010","layer":2},{"info":"NaN⇡⇂≮⫘↔10011010010=NaN","layer":1},{"info":"⇉-⫰≮⫘↔110111001101=≮⫘↔10100","layer":3},{"info":"∑⇻≧≮⫘↔10100=≮⫘↔-1101010100","layer":2},{"info":"≮⫘↔10000110000≣⋋=≮⫘↔0","layer":3},{"info":"⨦⪝≮⫘↔0=≮⫘↔-11101011100","layer":2},{"info":"≮⫘↔-1101010100⨸≮⫘↔-11101011100=≮⫘↔1010110001111111110","layer":1},{"info":"NaN⊍⩺⋍≮⫘↔1010110001111111110=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"(⪸(≯($2603$⊉≛↸$1785$)))⇽⩪","expression":"(⪸(≯(≮⫘↔101000101011⊉≛↸≮⫘↔11011111001)))⇽⩪","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":63,"operation_count":4,"complexity_ratio":15.75,"tree":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2603,"base":2},"right_expr":{"type":"numeric_atoms","value":1785,"base":2}}}}},"used_operators":["FonBHBYJbU","86A5ENbKR9","keWfFq85dY","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1001111001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2603","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=2603, right_input=1785, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5206","layer":3},{"info":"compute unary expreesion, input=5206, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=2273","layer":1},{"info":"compute unary expreesion, input=2273, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=5068","layer":0}],"base":2,"result_base":2,"text":"(⪸(≯(≮⫘↔101000101011⊉≛↸≮⫘↔11011111001)))⇽⩪=≮⫘↔1001111001100","reverse_text":"≮⫘↔1001111001100=(⪸(≯(≮⫘↔101000101011⊉≛↸≮⫘↔11011111001)))⇽⩪","cot":[{"info":"≮⫘↔101000101011⊉≛↸≮⫘↔11011111001=≮⫘↔1010001010110","layer":3},{"info":"≯≮⫘↔1010001010110=≮⫘↔0","layer":2},{"info":"⪸≮⫘↔0=≮⫘↔100011100001","layer":1},{"info":"≮⫘↔100011100001⇽⩪=≮⫘↔1001111001100","layer":0}]}
{"id":648,"expression_no_base_symbol":"($2932$⊋$2547$%(∟⋨$1098$))⇤(($1759$⇣⩺⋵$1397$)⩘($5344$⋷$3818$))⨽(⊢≑≆($1480$⩚⊴⇥$1203$))⫥∨⫟$1353$⨑⩅≇$1973$⪟⇏($1094$∇⊂⋱$6571$)","expression":"(≮⫘↔101101110100⊋≮⫘↔100111110011%(∟⋨≮⫘↔10001001010))⇤((≮⫘↔11011011111⇣⩺⋵≮⫘↔10101110101)⩘(≮⫘↔1010011100000⋷≮⫘↔111011101010))⨽(⊢≑≆(≮⫘↔10111001000⩚⊴⇥≮⫘↔10010110011))⫥∨⫟≮⫘↔10101001001⨑⩅≇≮⫘↔11110110101⪟⇏(≮⫘↔10001000110∇⊂⋱≮⫘↔1100110101011)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":23885,"operation_count":14,"complexity_ratio":1706.0714285714287,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2932,"base":2},"right_expr":{"type":"numeric_atoms","value":2547,"base":2}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1098,"base":2}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1759,"base":2},"right_expr":{"type":"numeric_atoms","value":1397,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5344,"base":2},"right_expr":{"type":"numeric_atoms","value":3818,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1480,"base":2},"right_expr":{"type":"numeric_atoms","value":1203,"base":2}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1353,"base":2},"right_expr":{"type":"numeric_atoms","value":1973,"base":2}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1094,"base":2},"right_expr":{"type":"numeric_atoms","value":6571,"base":2}}}}},"used_operators":["8HhzD0ZcuI","YSKBFp38Pu","k8jYdgA6NY","W4tP9CfskL","ctOc4cKSDt","cHh1gJQ2o6","F4yD0voBRQ","23Mk6UjR3U","KYD54nUTWz","27wFxooxGf","NTOWxs364D","GODebY97qR","h92wMvzauj","nhYeJWJD5X"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","tmPS8pqC7x","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2932","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=2547, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=8366368","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-614","layer":3},{"info":"compute binary expreesion, left_input=8366368, right_input=-614, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-610","layer":2},{"info":"number node, value=1759","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=1397, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=5344","layer":4},{"info":"number node, value=3818","layer":4},{"info":"compute binary expreesion, left_input=5344, right_input=3818, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2292","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=2292, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-610, right_input=160, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=5098","layer":1},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1203, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2804","layer":3},{"info":"compute unary expreesion, input=-2804, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=5801","layer":2},{"info":"number node, value=1353","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=1973, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-4059","layer":3},{"info":"number node, value=1094","layer":4},{"info":"number node, value=6571","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=6571, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1642","layer":3},{"info":"compute binary expreesion, left_input=-4059, right_input=1642, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5801, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5098, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101101110100⊋≮⫘↔100111110011%(∟⋨≮⫘↔10001001010))⇤((≮⫘↔11011011111⇣⩺⋵≮⫘↔10101110101)⩘(≮⫘↔1010011100000⋷≮⫘↔111011101010))⨽(⊢≑≆(≮⫘↔10111001000⩚⊴⇥≮⫘↔10010110011))⫥∨⫟≮⫘↔10101001001⨑⩅≇≮⫘↔11110110101⪟⇏(≮⫘↔10001000110∇⊂⋱≮⫘↔1100110101011)=NaN","reverse_text":"NaN=(≮⫘↔101101110100⊋≮⫘↔100111110011%(∟⋨≮⫘↔10001001010))⇤((≮⫘↔11011011111⇣⩺⋵≮⫘↔10101110101)⩘(≮⫘↔1010011100000⋷≮⫘↔111011101010))⨽(⊢≑≆(≮⫘↔10111001000⩚⊴⇥≮⫘↔10010110011))⫥∨⫟≮⫘↔10101001001⨑⩅≇≮⫘↔11110110101⪟⇏(≮⫘↔10001000110∇⊂⋱≮⫘↔1100110101011)","cot":[{"info":"≮⫘↔101101110100⊋≮⫘↔100111110011=≮⫘↔11111111010100100100000","layer":3},{"info":"∟⋨≮⫘↔10001001010=≮⫘↔-1001100110","layer":3},{"info":"≮⫘↔11111111010100100100000%≮⫘↔-1001100110=≮⫘↔-1001100010","layer":2},{"info":"≮⫘↔11011011111⇣⩺⋵≮⫘↔10101110101=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔1010011100000⋷≮⫘↔111011101010=≮⫘↔100011110100","layer":3},{"info":"≮⫘↔-100000100⩘≮⫘↔100011110100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-1001100010⇤≮⫘↔10100000=≮⫘↔1001111101010","layer":1},{"info":"≮⫘↔10111001000⩚⊴⇥≮⫘↔10010110011=≮⫘↔-101011110100","layer":3},{"info":"⊢≑≆≮⫘↔-101011110100=≮⫘↔1011010101001","layer":2},{"info":"≮⫘↔10101001001⨑⩅≇≮⫘↔11110110101=≮⫘↔-111111011011","layer":3},{"info":"≮⫘↔10001000110∇⊂⋱≮⫘↔1100110101011=≮⫘↔11001101010","layer":3},{"info":"≮⫘↔-111111011011⪟⇏≮⫘↔11001101010=≮⫘↔0","layer":2},{"info":"≮⫘↔1011010101001⫥∨⫟≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1001111101010⨽NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"($2656$⨜⨶$5181$≨($6222$⪭$2738$)⪕$8844$⨥⫆$1116$⋥⋵⩄($5698$↯⫤))⪛((($1460$⇆⨓≜)↸(⇋↷$2828$))⋣⋖$4306$↢$2708$⊬⨰$1143$≝⊿$2518$)","expression":"(≮⫘↔101001100000⨜⨶≮⫘↔1010000111101≨(≮⫘↔1100001001110⪭≮⫘↔101010110010)⪕≮⫘↔10001010001100⨥⫆≮⫘↔10001011100⋥⋵⩄(≮⫘↔1011001000010↯⫤))⪛(((≮⫘↔10110110100⇆⨓≜)↸(⇋↷≮⫘↔101100001100))⋣⋖≮⫘↔1000011010010↢≮⫘↔101010010100⊬⨰≮⫘↔10001110111≝⊿≮⫘↔100111010110)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":61667,"operation_count":15,"complexity_ratio":4111.133333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2656,"base":2},"right_expr":{"type":"numeric_atoms","value":5181,"base":2}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6222,"base":2},"right_expr":{"type":"numeric_atoms","value":2738,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":8844,"base":2},"right_expr":{"type":"numeric_atoms","value":1116,"base":2}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":5698,"base":2}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1460,"base":2}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2828,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4306,"base":2},"right_expr":{"type":"numeric_atoms","value":2708,"base":2}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1143,"base":2},"right_expr":{"type":"numeric_atoms","value":2518,"base":2}}}}},"used_operators":["uFcxV4UQCh","umQnsF7QlU","0KMCeP1Jsh","HiPekx5b7W","j9kHMeSvPp","7t3wd0Fuz7","yXekIHxTD4","VwlE7vj6HS","J0M6qkBnIM","1eCjFl0mb9","KvvgdUaMHJ","SWo3A1KBJH","s3Fd5m9Dh2","WR6HLWljOP","OKKcZfAt5B"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","COABgblf1C","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Uaa54Peajs","KYD54nUTWz","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2656","layer":4},{"info":"number node, value=5181","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=5181, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-10106","layer":3},{"info":"number node, value=6222","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=6222, right_input=2738, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-10106, right_input=5, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=20868","layer":2},{"info":"number node, value=8844","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=8844, right_input=1116, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2108","layer":3},{"info":"number node, value=5698","layer":4},{"info":"compute unary expreesion, input=5698, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2108, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20868, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=1460","layer":4},{"info":"compute unary expreesion, input=1460, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=2828","layer":4},{"info":"compute unary expreesion, input=2828, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=22624","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22624, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"number node, value=4306","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=4306, right_input=2708, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3822","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=2518, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6712","layer":3},{"info":"compute binary expreesion, left_input=3822, right_input=-6712, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-24082","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24082, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101001100000⨜⨶≮⫘↔1010000111101≨(≮⫘↔1100001001110⪭≮⫘↔101010110010)⪕≮⫘↔10001010001100⨥⫆≮⫘↔10001011100⋥⋵⩄(≮⫘↔1011001000010↯⫤))⪛(((≮⫘↔10110110100⇆⨓≜)↸(⇋↷≮⫘↔101100001100))⋣⋖≮⫘↔1000011010010↢≮⫘↔101010010100⊬⨰≮⫘↔10001110111≝⊿≮⫘↔100111010110)=NaN","reverse_text":"NaN=(≮⫘↔101001100000⨜⨶≮⫘↔1010000111101≨(≮⫘↔1100001001110⪭≮⫘↔101010110010)⪕≮⫘↔10001010001100⨥⫆≮⫘↔10001011100⋥⋵⩄(≮⫘↔1011001000010↯⫤))⪛(((≮⫘↔10110110100⇆⨓≜)↸(⇋↷≮⫘↔101100001100))⋣⋖≮⫘↔1000011010010↢≮⫘↔101010010100⊬⨰≮⫘↔10001110111≝⊿≮⫘↔100111010110)","cot":[{"info":"≮⫘↔101001100000⨜⨶≮⫘↔1010000111101=≮⫘↔-10011101111010","layer":3},{"info":"≮⫘↔1100001001110⪭≮⫘↔101010110010=≮⫘↔101","layer":3},{"info":"≮⫘↔-10011101111010≨≮⫘↔101=≮⫘↔101000110000100","layer":2},{"info":"≮⫘↔10001010001100⨥⫆≮⫘↔10001011100=≮⫘↔100000111100","layer":3},{"info":"≮⫘↔1011001000010↯⫤=≮⫘↔0","layer":3},{"info":"≮⫘↔100000111100⋥⋵⩄≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔101000110000100⪕NaN=≮⫘↔1110100111","layer":1},{"info":"≮⫘↔10110110100⇆⨓≜=NaN","layer":3},{"info":"⇋↷≮⫘↔101100001100=≮⫘↔101100001100000","layer":3},{"info":"NaN↸≮⫘↔101100001100000=NaN","layer":2},{"info":"≮⫘↔1000011010010↢≮⫘↔101010010100=≮⫘↔111011101110","layer":3},{"info":"≮⫘↔10001110111≝⊿≮⫘↔100111010110=≮⫘↔-1101000111000","layer":3},{"info":"≮⫘↔111011101110⊬⨰≮⫘↔-1101000111000=≮⫘↔-101111000010010","layer":2},{"info":"NaN⋣⋖≮⫘↔-101111000010010=NaN","layer":1},{"info":"≮⫘↔1110100111⪛NaN=NaN","layer":0}]}
{"id":650,"expression_no_base_symbol":"∜⨇(($5775$⫥∨⫟$1055$↸(⫇$3435$))⊝⪿⪼(($3437$∐⫣)⫦⪉$2378$⨪↰⇹$2559$))","expression":"∜⨇((≮⫘↔1011010001111⫥∨⫟≮⫘↔10000011111↸(⫇≮⫘↔110101101011))⊝⪿⪼((≮⫘↔110101101101∐⫣)⫦⪉≮⫘↔100101001010⨪↰⇹≮⫘↔100111111111))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2663,"operation_count":8,"complexity_ratio":332.875,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5775,"base":2},"right_expr":{"type":"numeric_atoms","value":1055,"base":2}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":3435,"base":2}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3437,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2378,"base":2},"right_expr":{"type":"numeric_atoms","value":2559,"base":2}}}}},"used_operators":["uFPyJr306J","3Oe9XWJUTD","1eCjFl0mb9","KYD54nUTWz","YjI8oCXuph","wscyQdcy20","4CyGpkTkEk","tmPS8pqC7x"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5775","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=5775, right_input=1055, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3435","layer":4},{"info":"compute unary expreesion, input=3435, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-5656","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5656, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"number node, value=3437","layer":4},{"info":"compute unary expreesion, input=3437, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=2378","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=2559, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2378","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=2378, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=3798","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3798, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∜⨇((≮⫘↔1011010001111⫥∨⫟≮⫘↔10000011111↸(⫇≮⫘↔110101101011))⊝⪿⪼((≮⫘↔110101101101∐⫣)⫦⪉≮⫘↔100101001010⨪↰⇹≮⫘↔100111111111))=NaN","reverse_text":"NaN=∜⨇((≮⫘↔1011010001111⫥∨⫟≮⫘↔10000011111↸(⫇≮⫘↔110101101011))⊝⪿⪼((≮⫘↔110101101101∐⫣)⫦⪉≮⫘↔100101001010⨪↰⇹≮⫘↔100111111111))","cot":[{"info":"≮⫘↔1011010001111⫥∨⫟≮⫘↔10000011111=NaN","layer":3},{"info":"⫇≮⫘↔110101101011=≮⫘↔-1011000011000","layer":3},{"info":"NaN↸≮⫘↔-1011000011000=NaN","layer":2},{"info":"≮⫘↔110101101101∐⫣=≮⫘↔1000100111","layer":3},{"info":"≮⫘↔100101001010⨪↰⇹≮⫘↔100111111111=≮⫘↔100101001010","layer":3},{"info":"≮⫘↔1000100111⫦⪉≮⫘↔100101001010=≮⫘↔111011010110","layer":2},{"info":"NaN⊝⪿⪼≮⫘↔111011010110=NaN","layer":1},{"info":"∜⨇NaN=NaN","layer":0}]}
{"id":651,"expression_no_base_symbol":"⊄⩳↩(∟⋨(⊄⩳↩$3432$))∌↝(($5466$≀⩗∶$1110$)⋓(⫓⪴$5683$))","expression":"⊄⩳↩(∟⋨(⊄⩳↩≮⫘↔110101101000))∌↝((≮⫘↔1010101011010≀⩗∶≮⫘↔10001010110)⋓(⫓⪴≮⫘↔1011000110011))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":16029,"operation_count":7,"complexity_ratio":2289.8571428571427,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3432,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5466,"base":2},"right_expr":{"type":"numeric_atoms","value":1110,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5683,"base":2}}}}},"used_operators":["8w2t5hMYqp","9Isq31Ruls","ctOc4cKSDt","T2fj7uvVaJ","8INZBEW696","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9HNa5Wba9A"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3432","layer":4},{"info":"compute unary expreesion, input=3432, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10296","layer":3},{"info":"compute unary expreesion, input=-10296, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=10780","layer":2},{"info":"number node, value=5466","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=1110, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=5683","layer":4},{"info":"compute unary expreesion, input=5683, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=32296489","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=32296489, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=10780, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⊄⩳↩(∟⋨(⊄⩳↩≮⫘↔110101101000))∌↝((≮⫘↔1010101011010≀⩗∶≮⫘↔10001010110)⋓(⫓⪴≮⫘↔1011000110011))=≮⫘↔0","reverse_text":"≮⫘↔0=⊄⩳↩(∟⋨(⊄⩳↩≮⫘↔110101101000))∌↝((≮⫘↔1010101011010≀⩗∶≮⫘↔10001010110)⋓(⫓⪴≮⫘↔1011000110011))","cot":[{"info":"⊄⩳↩≮⫘↔110101101000=≮⫘↔-10100000111000","layer":3},{"info":"∟⋨≮⫘↔-10100000111000=≮⫘↔10101000011100","layer":2},{"info":"≮⫘↔1010101011010≀⩗∶≮⫘↔10001010110=≮⫘↔0","layer":3},{"info":"⫓⪴≮⫘↔1011000110011=≮⫘↔1111011001100111000101001","layer":3},{"info":"≮⫘↔0⋓≮⫘↔1111011001100111000101001=≮⫘↔0","layer":2},{"info":"≮⫘↔10101000011100∌↝≮⫘↔0=≮⫘↔0","layer":1},{"info":"⊄⩳↩≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":652,"expression_no_base_symbol":"(($1773$⊭↱$2822$)∙⊟$2375$≎⪠$2167$)⪎↠($2720$⫉⨲⊜$8650$)⋹⋡⊁($1256$⪍↜⋙$1388$)⊉≛↸(($4899$⨽$3311$)⪎↠(⊗$1442$)⫭)","expression":"((≮⫘↔11011101101⊭↱≮⫘↔101100000110)∙⊟≮⫘↔100101000111≎⪠≮⫘↔100001110111)⪎↠(≮⫘↔101010100000⫉⨲⊜≮⫘↔10000111001010)⋹⋡⊁(≮⫘↔10011101000⪍↜⋙≮⫘↔10101101100)⊉≛↸((≮⫘↔1001100100011⨽≮⫘↔110011101111)⪎↠(⊗≮⫘↔10110100010)⫭)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26318,"operation_count":12,"complexity_ratio":2193.1666666666665,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1773,"base":2},"right_expr":{"type":"numeric_atoms","value":2822,"base":2}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2375,"base":2},"right_expr":{"type":"numeric_atoms","value":2167,"base":2}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2720,"base":2},"right_expr":{"type":"numeric_atoms","value":8650,"base":2}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1256,"base":2},"right_expr":{"type":"numeric_atoms","value":1388,"base":2}}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4899,"base":2},"right_expr":{"type":"numeric_atoms","value":3311,"base":2}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1442,"base":2}}}}},"used_operators":["DZ8iAZOCBD","3tVxb0NHM4","SxTAKzQCrw","COABgblf1C","aNhz54LH3e","As8RqfVLgs","WhqkvtTD3t","L05ObWFQCd","t4WUHVGj7f","8HhzD0ZcuI","RhiyfpczSx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"≮⫘↔101000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1773","layer":4},{"info":"number node, value=2822","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=2822, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2103","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=2167, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=2103, right_input=19558, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=37185","layer":2},{"info":"number node, value=2720","layer":4},{"info":"number node, value=8650","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=8650, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1256","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=1388, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-9839","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9839, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-262","layer":2},{"info":"compute binary expreesion, left_input=37185, right_input=-262, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"number node, value=4899","layer":4},{"info":"number node, value=3311","layer":4},{"info":"compute binary expreesion, left_input=4899, right_input=3311, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72009222","layer":3},{"info":"number node, value=1442","layer":4},{"info":"compute unary expreesion, input=1442, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2884","layer":3},{"info":"compute binary expreesion, left_input=-72009222, right_input=-2884, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=76","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=76, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11011101101⊭↱≮⫘↔101100000110)∙⊟≮⫘↔100101000111≎⪠≮⫘↔100001110111)⪎↠(≮⫘↔101010100000⫉⨲⊜≮⫘↔10000111001010)⋹⋡⊁(≮⫘↔10011101000⪍↜⋙≮⫘↔10101101100)⊉≛↸((≮⫘↔1001100100011⨽≮⫘↔110011101111)⪎↠(⊗≮⫘↔10110100010)⫭)=≮⫘↔101000000","reverse_text":"≮⫘↔101000000=((≮⫘↔11011101101⊭↱≮⫘↔101100000110)∙⊟≮⫘↔100101000111≎⪠≮⫘↔100001110111)⪎↠(≮⫘↔101010100000⫉⨲⊜≮⫘↔10000111001010)⋹⋡⊁(≮⫘↔10011101000⪍↜⋙≮⫘↔10101101100)⊉≛↸((≮⫘↔1001100100011⨽≮⫘↔110011101111)⪎↠(⊗≮⫘↔10110100010)⫭)","cot":[{"info":"≮⫘↔11011101101⊭↱≮⫘↔101100000110=≮⫘↔100000110111","layer":3},{"info":"≮⫘↔100101000111≎⪠≮⫘↔100001110111=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔100000110111∙⊟≮⫘↔100110001100110=≮⫘↔1001000101000001","layer":2},{"info":"≮⫘↔101010100000⫉⨲⊜≮⫘↔10000111001010=≮⫘↔0","layer":3},{"info":"≮⫘↔10011101000⪍↜⋙≮⫘↔10101101100=≮⫘↔-10011001101111","layer":3},{"info":"≮⫘↔0⋹⋡⊁≮⫘↔-10011001101111=≮⫘↔-100000110","layer":2},{"info":"≮⫘↔1001000101000001⪎↠≮⫘↔-100000110=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1001100100011⨽≮⫘↔110011101111=≮⫘↔-100010010101100011000000110","layer":3},{"info":"⊗≮⫘↔10110100010=≮⫘↔-101101000100","layer":3},{"info":"≮⫘↔-100010010101100011000000110⪎↠≮⫘↔-101101000100=≮⫘↔-110111","layer":2},{"info":"≮⫘↔-110111⫭=≮⫘↔1001100","layer":1},{"info":"≮⫘↔10100000⊉≛↸≮⫘↔1001100=≮⫘↔101000000","layer":0}]}
{"id":653,"expression_no_base_symbol":"(((⩦⩻⨪$5085$)⇆⨓≜)≥⨤⩑$1618$↤⩊$1622$⊹∫⫚(∟⋨$2835$))⊬⫿⊭","expression":"(((⩦⩻⨪≮⫘↔1001111011101)⇆⨓≜)≥⨤⩑≮⫘↔11001010010↤⩊≮⫘↔11001010110⊹∫⫚(∟⋨≮⫘↔101100010011))⊬⫿⊭","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7385,"operation_count":7,"complexity_ratio":1055.0,"tree":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5085,"base":2}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1618,"base":2},"right_expr":{"type":"numeric_atoms","value":1622,"base":2}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2835,"base":2}}}}},"used_operators":["v0DYgG9ikt","gJLn6v0xnP","KvvgdUaMHJ","2td37pGCOC","uWAJUKEvyW","13rbtpv6ld","ctOc4cKSDt"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Uaa54Peajs","KYD54nUTWz","rysDP5nf3Z","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5085","layer":4},{"info":"compute unary expreesion, input=5085, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5085","layer":3},{"info":"compute unary expreesion, input=5085, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=1618","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=1622, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2835","layer":4},{"info":"compute unary expreesion, input=2835, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2351","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2351, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-296","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-296, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⩦⩻⨪≮⫘↔1001111011101)⇆⨓≜)≥⨤⩑≮⫘↔11001010010↤⩊≮⫘↔11001010110⊹∫⫚(∟⋨≮⫘↔101100010011))⊬⫿⊭=NaN","reverse_text":"NaN=(((⩦⩻⨪≮⫘↔1001111011101)⇆⨓≜)≥⨤⩑≮⫘↔11001010010↤⩊≮⫘↔11001010110⊹∫⫚(∟⋨≮⫘↔101100010011))⊬⫿⊭","cot":[{"info":"⩦⩻⨪≮⫘↔1001111011101=≮⫘↔1001111011101","layer":3},{"info":"≮⫘↔1001111011101⇆⨓≜=NaN","layer":2},{"info":"≮⫘↔11001010010↤⩊≮⫘↔11001010110=NaN","layer":3},{"info":"∟⋨≮⫘↔101100010011=≮⫘↔-100100101111","layer":3},{"info":"NaN⊹∫⫚≮⫘↔-100100101111=≮⫘↔-100101000","layer":2},{"info":"NaN≥⨤⩑≮⫘↔-100101000=NaN","layer":1},{"info":"NaN⊬⫿⊭=NaN","layer":0}]}
{"id":654,"expression_no_base_symbol":"(↨$3550$⪚$5869$⪨⊡$1488$⪝$1673$)⫥∨⫟($1264$⋭≵$3663$⫔⩽⩺($2245$-$2348$)⫌⩉⩟($3242$⊢)↡⊰⫅$1022$⪇≇⋚$2680$)","expression":"(↨≮⫘↔110111011110⪚≮⫘↔1011011101101⪨⊡≮⫘↔10111010000⪝≮⫘↔11010001001)⫥∨⫟(≮⫘↔10011110000⋭≵≮⫘↔111001001111⫔⩽⩺(≮⫘↔100011000101-≮⫘↔100100101100)⫌⩉⩟(≮⫘↔110010101010⊢)↡⊰⫅≮⫘↔1111111110⪇≇⋚≮⫘↔101001111000)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14318,"operation_count":12,"complexity_ratio":1193.1666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3550,"base":2},"right_expr":{"type":"numeric_atoms","value":5869,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1488,"base":2},"right_expr":{"type":"numeric_atoms","value":1673,"base":2}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1264,"base":2},"right_expr":{"type":"numeric_atoms","value":3663,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2245,"base":2},"right_expr":{"type":"numeric_atoms","value":2348,"base":2}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3242,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1022,"base":2},"right_expr":{"type":"numeric_atoms","value":2680,"base":2}}}}},"used_operators":["KYD54nUTWz","jiX4gk2v2Q","kuIXHzHcAH","HrjLwUk87U","wicAB68Tmb","XIIwhv8d0m","i9eR4S00cU","jBncVCNhdl","rysDP5nf3Z","VCtxkLNOzz","40aOVDgCDB","3sJ7IOPOlU"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","oZj3VtZNQx","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Tw270M8GLb","fu6greOZ01","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3550","layer":4},{"info":"number node, value=5869","layer":4},{"info":"compute binary expreesion, left_input=3550, right_input=5869, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-4994","layer":3},{"info":"number node, value=1488","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=1673, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=-4994, right_input=237, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=2822","layer":1},{"info":"number node, value=1264","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=3663, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2245","layer":4},{"info":"number node, value=2348","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=2348, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-103","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-103, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=3242","layer":4},{"info":"compute unary expreesion, input=3242, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3489","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=2680, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3489, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-50, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↨≮⫘↔110111011110⪚≮⫘↔1011011101101⪨⊡≮⫘↔10111010000⪝≮⫘↔11010001001)⫥∨⫟(≮⫘↔10011110000⋭≵≮⫘↔111001001111⫔⩽⩺(≮⫘↔100011000101-≮⫘↔100100101100)⫌⩉⩟(≮⫘↔110010101010⊢)↡⊰⫅≮⫘↔1111111110⪇≇⋚≮⫘↔101001111000)=NaN","reverse_text":"NaN=(↨≮⫘↔110111011110⪚≮⫘↔1011011101101⪨⊡≮⫘↔10111010000⪝≮⫘↔11010001001)⫥∨⫟(≮⫘↔10011110000⋭≵≮⫘↔111001001111⫔⩽⩺(≮⫘↔100011000101-≮⫘↔100100101100)⫌⩉⩟(≮⫘↔110010101010⊢)↡⊰⫅≮⫘↔1111111110⪇≇⋚≮⫘↔101001111000)","cot":[{"info":"≮⫘↔110111011110⪚≮⫘↔1011011101101=≮⫘↔-1001110000010","layer":3},{"info":"≮⫘↔10111010000⪝≮⫘↔11010001001=≮⫘↔11101101","layer":3},{"info":"≮⫘↔-1001110000010⪨⊡≮⫘↔11101101=≮⫘↔0","layer":2},{"info":"↨≮⫘↔0=≮⫘↔101100000110","layer":1},{"info":"≮⫘↔10011110000⋭≵≮⫘↔111001001111=≮⫘↔1000011","layer":3},{"info":"≮⫘↔100011000101-≮⫘↔100100101100=≮⫘↔-1100111","layer":3},{"info":"≮⫘↔1000011⫔⩽⩺≮⫘↔-1100111=NaN","layer":2},{"info":"≮⫘↔110010101010⊢=≮⫘↔-110110100001","layer":3},{"info":"≮⫘↔1111111110⪇≇⋚≮⫘↔101001111000=≮⫘↔0","layer":3},{"info":"≮⫘↔-110110100001↡⊰⫅≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⫌⩉⩟≮⫘↔0=≮⫘↔-110010","layer":1},{"info":"≮⫘↔101100000110⫥∨⫟≮⫘↔-110010=NaN","layer":0}]}
{"id":655,"expression_no_base_symbol":"(($1484$≹⇙⪍$4108$⋘⨑⨽)⪘⫢($1246$⊋≦⊧$6893$⩨$2190$⊴$6944$))⊢(($2904$⨥⫆$1612$⊿∆)⩵∡($1020$⫲≸⪮$2077$)⪛($2345$⪨⊡$1460$))","expression":"((≮⫘↔10111001100≹⇙⪍≮⫘↔1000000001100⋘⨑⨽)⪘⫢(≮⫘↔10011011110⊋≦⊧≮⫘↔1101011101101⩨≮⫘↔100010001110⊴≮⫘↔1101100100000))⊢((≮⫘↔101101011000⨥⫆≮⫘↔11001001100⊿∆)⩵∡(≮⫘↔1111111100⫲≸⪮≮⫘↔100000011101)⪛(≮⫘↔100100101001⪨⊡≮⫘↔10110110100))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8083,"operation_count":13,"complexity_ratio":621.7692307692307,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1484,"base":2},"right_expr":{"type":"numeric_atoms","value":4108,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1246,"base":2},"right_expr":{"type":"numeric_atoms","value":6893,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2190,"base":2},"right_expr":{"type":"numeric_atoms","value":6944,"base":2}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2904,"base":2},"right_expr":{"type":"numeric_atoms","value":1612,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":2077,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2345,"base":2},"right_expr":{"type":"numeric_atoms","value":1460,"base":2}}}}},"used_operators":["5twsqlHp2o","oacrs7FA3X","WmT3o8z6ya","AHs5Up7iyr","2DlMacCsIx","oRDoc9rAEX","Nsiff2A1zJ","Y7wcNGrDQJ","fv3ZujxkQL","yXekIHxTD4","uFcxV4UQCh","P3lXMJvFrc","kuIXHzHcAH"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=4108, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=nan","layer":2},{"info":"number node, value=1246","layer":4},{"info":"number node, value=6893","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=6893, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7899","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=6944","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=6944, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7899, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=2904","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=1612, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3100","layer":3},{"info":"compute unary expreesion, input=3100, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-6321","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=2077, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1020","layer":3},{"info":"number node, value=2345","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=1460, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1020, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6321, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111001100≹⇙⪍≮⫘↔1000000001100⋘⨑⨽)⪘⫢(≮⫘↔10011011110⊋≦⊧≮⫘↔1101011101101⩨≮⫘↔100010001110⊴≮⫘↔1101100100000))⊢((≮⫘↔101101011000⨥⫆≮⫘↔11001001100⊿∆)⩵∡(≮⫘↔1111111100⫲≸⪮≮⫘↔100000011101)⪛(≮⫘↔100100101001⪨⊡≮⫘↔10110110100))=NaN","reverse_text":"NaN=((≮⫘↔10111001100≹⇙⪍≮⫘↔1000000001100⋘⨑⨽)⪘⫢(≮⫘↔10011011110⊋≦⊧≮⫘↔1101011101101⩨≮⫘↔100010001110⊴≮⫘↔1101100100000))⊢((≮⫘↔101101011000⨥⫆≮⫘↔11001001100⊿∆)⩵∡(≮⫘↔1111111100⫲≸⪮≮⫘↔100000011101)⪛(≮⫘↔100100101001⪨⊡≮⫘↔10110110100))","cot":[{"info":"≮⫘↔10111001100≹⇙⪍≮⫘↔1000000001100=NaN","layer":3},{"info":"NaN⋘⨑⨽=NaN","layer":2},{"info":"≮⫘↔10011011110⊋≦⊧≮⫘↔1101011101101=≮⫘↔-1111011011011","layer":3},{"info":"≮⫘↔100010001110⊴≮⫘↔1101100100000=NaN","layer":3},{"info":"≮⫘↔-1111011011011⩨NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"≮⫘↔101101011000⨥⫆≮⫘↔11001001100=≮⫘↔110000011100","layer":3},{"info":"≮⫘↔110000011100⊿∆=≮⫘↔-1100010110001","layer":2},{"info":"≮⫘↔1111111100⫲≸⪮≮⫘↔100000011101=≮⫘↔1111111100","layer":3},{"info":"≮⫘↔100100101001⪨⊡≮⫘↔10110110100=≮⫘↔0","layer":3},{"info":"≮⫘↔1111111100⪛≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔-1100010110001⩵∡NaN=NaN","layer":1},{"info":"NaN⊢NaN=NaN","layer":0}]}
{"id":656,"expression_no_base_symbol":"($3242$⪔$4603$⩨(⪓⩚$5345$))⫢⨠($7564$⇻⋧≁$7817$⩨(≇⪴$7003$))⫌⩉⩟$3163$⨑⩅≇$7212$∣($2698$⪗)⩘(⫖→($1279$⊦⊿))","expression":"(≮⫘↔110010101010⪔≮⫘↔1000111111011⩨(⪓⩚≮⫘↔1010011100001))⫢⨠(≮⫘↔1110110001100⇻⋧≁≮⫘↔1111010001001⩨(≇⪴≮⫘↔1101101011011))⫌⩉⩟≮⫘↔110001011011⨑⩅≇≮⫘↔1110000101100∣(≮⫘↔101010001010⪗)⩘(⫖→(≮⫘↔10011111111⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":86885,"operation_count":14,"complexity_ratio":6206.071428571428,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3242,"base":2},"right_expr":{"type":"numeric_atoms","value":4603,"base":2}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":5345,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":7564,"base":2},"right_expr":{"type":"numeric_atoms","value":7817,"base":2}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":7003,"base":2}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3163,"base":2},"right_expr":{"type":"numeric_atoms","value":7212,"base":2}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2698,"base":2}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1279,"base":2}}}}},"used_operators":["XIIwhv8d0m","xlXykHWxX1","2DlMacCsIx","GjBEYRfMaF","u0R0Locfp2","jCPkEVoL5K","zoVPnxeHJ3","cHh1gJQ2o6","PPChnnnBFF","h92wMvzauj","VEQNXA0ZBg","U4ylXWHChL","14qkJME0vr"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3242","layer":4},{"info":"number node, value=4603","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=4603, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5345","layer":4},{"info":"compute unary expreesion, input=5345, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=426, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=7564","layer":4},{"info":"number node, value=7817","layer":4},{"info":"compute binary expreesion, left_input=7564, right_input=7817, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=7003","layer":4},{"info":"compute unary expreesion, input=7003, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-19669","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-19669, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-132","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-132, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=-214","layer":1},{"info":"number node, value=3163","layer":4},{"info":"number node, value=7212","layer":4},{"info":"compute binary expreesion, left_input=3163, right_input=7212, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-9489","layer":3},{"info":"number node, value=2698","layer":4},{"info":"compute unary expreesion, input=2698, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9489, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-9489","layer":2},{"info":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3916","layer":3},{"info":"compute unary expreesion, input=-3916, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=-9489, right_input=177, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-214, right_input=160, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110010101010⪔≮⫘↔1000111111011⩨(⪓⩚≮⫘↔1010011100001))⫢⨠(≮⫘↔1110110001100⇻⋧≁≮⫘↔1111010001001⩨(≇⪴≮⫘↔1101101011011))⫌⩉⩟≮⫘↔110001011011⨑⩅≇≮⫘↔1110000101100∣(≮⫘↔101010001010⪗)⩘(⫖→(≮⫘↔10011111111⊦⊿))=≮⫘↔-110010","reverse_text":"≮⫘↔-110010=(≮⫘↔110010101010⪔≮⫘↔1000111111011⩨(⪓⩚≮⫘↔1010011100001))⫢⨠(≮⫘↔1110110001100⇻⋧≁≮⫘↔1111010001001⩨(≇⪴≮⫘↔1101101011011))⫌⩉⩟≮⫘↔110001011011⨑⩅≇≮⫘↔1110000101100∣(≮⫘↔101010001010⪗)⩘(⫖→(≮⫘↔10011111111⊦⊿))","cot":[{"info":"≮⫘↔110010101010⪔≮⫘↔1000111111011=≮⫘↔111000010","layer":3},{"info":"⪓⩚≮⫘↔1010011100001=≮⫘↔110101010","layer":3},{"info":"≮⫘↔111000010⩨≮⫘↔110101010=≮⫘↔0","layer":2},{"info":"≮⫘↔1110110001100⇻⋧≁≮⫘↔1111010001001=≮⫘↔-110111111","layer":3},{"info":"≇⪴≮⫘↔1101101011011=≮⫘↔-100110011010101","layer":3},{"info":"≮⫘↔-110111111⩨≮⫘↔-100110011010101=≮⫘↔-10000100","layer":2},{"info":"≮⫘↔0⫢⨠≮⫘↔-10000100=≮⫘↔-11010110","layer":1},{"info":"≮⫘↔110001011011⨑⩅≇≮⫘↔1110000101100=≮⫘↔-10010100010001","layer":3},{"info":"≮⫘↔101010001010⪗=NaN","layer":3},{"info":"≮⫘↔-10010100010001∣NaN=≮⫘↔-10010100010001","layer":2},{"info":"≮⫘↔10011111111⊦⊿=≮⫘↔-111101001100","layer":3},{"info":"⫖→≮⫘↔-111101001100=≮⫘↔10110001","layer":2},{"info":"≮⫘↔-10010100010001⩘≮⫘↔10110001=≮⫘↔10100000","layer":1},{"info":"≮⫘↔-11010110⫌⩉⩟≮⫘↔10100000=≮⫘↔-110010","layer":0}]}
{"id":657,"expression_no_base_symbol":"(⇉-⫰($1126$∙∹∝$6900$))⫳≱↱$1697$⪨⊡$1880$⊹∫⫚($1075$⊴⇁⪶)⪎⩰","expression":"(⇉-⫰(≮⫘↔10001100110∙∹∝≮⫘↔1101011110100))⫳≱↱≮⫘↔11010100001⪨⊡≮⫘↔11101011000⊹∫⫚(≮⫘↔10000110011⊴⇁⪶)⪎⩰","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1762,"operation_count":7,"complexity_ratio":251.71428571428572,"tree":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1126,"base":2},"right_expr":{"type":"numeric_atoms","value":6900,"base":2}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1697,"base":2},"right_expr":{"type":"numeric_atoms","value":1880,"base":2}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1075,"base":2}}}}},"used_operators":["2ufhKmSs5H","ZvLB05nZmT","IGFM8TAlm9","HmxsFra2vL","uWAJUKEvyW","kuIXHzHcAH","oo9mF6JIpo"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eH2TOUuTDT","eewbuw0ToL","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"≮⫘↔-100000011101101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1126","layer":4},{"info":"number node, value=6900","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=6900, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=1697","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=1880, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=15972","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15972, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-264","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-264, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-207","layer":1},{"info":"compute unary expreesion, input=-207, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-16621","layer":0}],"base":2,"result_base":2,"text":"(⇉-⫰(≮⫘↔10001100110∙∹∝≮⫘↔1101011110100))⫳≱↱≮⫘↔11010100001⪨⊡≮⫘↔11101011000⊹∫⫚(≮⫘↔10000110011⊴⇁⪶)⪎⩰=≮⫘↔-100000011101101","reverse_text":"≮⫘↔-100000011101101=(⇉-⫰(≮⫘↔10001100110∙∹∝≮⫘↔1101011110100))⫳≱↱≮⫘↔11010100001⪨⊡≮⫘↔11101011000⊹∫⫚(≮⫘↔10000110011⊴⇁⪶)⪎⩰","cot":[{"info":"≮⫘↔10001100110∙∹∝≮⫘↔1101011110100=≮⫘↔0","layer":3},{"info":"⇉-⫰≮⫘↔0=≮⫘↔10100","layer":2},{"info":"≮⫘↔11010100001⪨⊡≮⫘↔11101011000=≮⫘↔0","layer":3},{"info":"≮⫘↔10000110011⊴⇁⪶=≮⫘↔11111001100100","layer":3},{"info":"≮⫘↔0⊹∫⫚≮⫘↔11111001100100=≮⫘↔-100001000","layer":2},{"info":"≮⫘↔10100⫳≱↱≮⫘↔-100001000=≮⫘↔-11001111","layer":1},{"info":"≮⫘↔-11001111⪎⩰=≮⫘↔-100000011101101","layer":0}]}
{"id":658,"expression_no_base_symbol":"(($1337$⋣⋖$1190$⨓(⨝⨆$2968$))∴≳≥)≴⪞⇿(($5859$⋾⨃∁$1043$)≹⇙⪍$1564$∊∟⩊$3217$⨳⩥⨓(($3238$⫚⫇)⨸⪁(≤/$1261$)))","expression":"((≮⫘↔10100111001⋣⋖≮⫘↔10010100110⨓(⨝⨆≮⫘↔101110011000))∴≳≥)≴⪞⇿((≮⫘↔1011011100011⋾⨃∁≮⫘↔10000010011)≹⇙⪍≮⫘↔11000011100∊∟⩊≮⫘↔110010010001⨳⩥⨓((≮⫘↔110010100110⫚⫇)⨸⪁(≤/≮⫘↔10011101101)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3897,"operation_count":12,"complexity_ratio":324.75,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1337,"base":2},"right_expr":{"type":"numeric_atoms","value":1190,"base":2}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2968,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5859,"base":2},"right_expr":{"type":"numeric_atoms","value":1043,"base":2}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1564,"base":2},"right_expr":{"type":"numeric_atoms","value":3217,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":3238,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1261,"base":2}}}}},"used_operators":["lvlrscuwVU","a3N2hFLK0J","3ViojmjbAp","J0M6qkBnIM","bQ67fsrMVf","nCS4ZIUYfx","AHs5Up7iyr","212REbPD9h","ddLRYrp01A","g55IO6H4Gj","SdCjLnB6rR","eLAdDNolq6"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","rysDP5nf3Z"],"result":"≮⫘↔-100001011101110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=1190, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1337","layer":3},{"info":"number node, value=2968","layer":4},{"info":"compute unary expreesion, input=2968, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2759","layer":3},{"info":"compute binary expreesion, left_input=1337, right_input=2759, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2762","layer":2},{"info":"compute unary expreesion, input=-2762, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-11048","layer":1},{"info":"number node, value=5859","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=5859, right_input=1043, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10865880","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=3217, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3217","layer":3},{"info":"compute binary expreesion, left_input=10865880, right_input=3217, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3238","layer":4},{"info":"compute unary expreesion, input=3238, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=5008","layer":3},{"info":"number node, value=1261","layer":4},{"info":"compute unary expreesion, input=1261, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-777","layer":3},{"info":"compute binary expreesion, left_input=5008, right_input=-777, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8462","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8462, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-11048, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-137076","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100111001⋣⋖≮⫘↔10010100110⨓(⨝⨆≮⫘↔101110011000))∴≳≥)≴⪞⇿((≮⫘↔1011011100011⋾⨃∁≮⫘↔10000010011)≹⇙⪍≮⫘↔11000011100∊∟⩊≮⫘↔110010010001⨳⩥⨓((≮⫘↔110010100110⫚⫇)⨸⪁(≤/≮⫘↔10011101101)))=≮⫘↔-100001011101110100","reverse_text":"≮⫘↔-100001011101110100=((≮⫘↔10100111001⋣⋖≮⫘↔10010100110⨓(⨝⨆≮⫘↔101110011000))∴≳≥)≴⪞⇿((≮⫘↔1011011100011⋾⨃∁≮⫘↔10000010011)≹⇙⪍≮⫘↔11000011100∊∟⩊≮⫘↔110010010001⨳⩥⨓((≮⫘↔110010100110⫚⫇)⨸⪁(≤/≮⫘↔10011101101)))","cot":[{"info":"≮⫘↔10100111001⋣⋖≮⫘↔10010100110=≮⫘↔10100111001","layer":3},{"info":"⨝⨆≮⫘↔101110011000=≮⫘↔101011000111","layer":3},{"info":"≮⫘↔10100111001⨓≮⫘↔101011000111=≮⫘↔-101011001010","layer":2},{"info":"≮⫘↔-101011001010∴≳≥=≮⫘↔-10101100101000","layer":1},{"info":"≮⫘↔1011011100011⋾⨃∁≮⫘↔10000010011=≮⫘↔101001011100110011011000","layer":3},{"info":"≮⫘↔11000011100∊∟⩊≮⫘↔110010010001=≮⫘↔110010010001","layer":3},{"info":"≮⫘↔101001011100110011011000≹⇙⪍≮⫘↔110010010001=NaN","layer":2},{"info":"≮⫘↔110010100110⫚⫇=≮⫘↔1001110010000","layer":3},{"info":"≤/≮⫘↔10011101101=≮⫘↔-1100001001","layer":3},{"info":"≮⫘↔1001110010000⨸⪁≮⫘↔-1100001001=≮⫘↔10000100001110","layer":2},{"info":"NaN⨳⩥⨓≮⫘↔10000100001110=NaN","layer":1},{"info":"≮⫘↔-10101100101000≴⪞⇿NaN=≮⫘↔-100001011101110100","layer":0}]}
{"id":659,"expression_no_base_symbol":"(($1481$≒∊$1339$⨒$4880$⊋$4109$)⫸⊐($2888$⨔⇊$3862$⪁$3824$+⇶⊼$3625$))⩷∴(($2089$⪒⊣⊆$4429$⋛$1306$↓$3257$)⨀⨒)","expression":"((≮⫘↔10111001001≒∊≮⫘↔10100111011⨒≮⫘↔1001100010000⊋≮⫘↔1000000001101)⫸⊐(≮⫘↔101101001000⨔⇊≮⫘↔111100010110⪁≮⫘↔111011110000+⇶⊼≮⫘↔111000101001))⩷∴((≮⫘↔100000101001⪒⊣⊆≮⫘↔1000101001101⋛≮⫘↔10100011010↓≮⫘↔110010111001)⨀⨒)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":51575,"operation_count":12,"complexity_ratio":4297.916666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1481,"base":2},"right_expr":{"type":"numeric_atoms","value":1339,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4880,"base":2},"right_expr":{"type":"numeric_atoms","value":4109,"base":2}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2888,"base":2},"right_expr":{"type":"numeric_atoms","value":3862,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3824,"base":2},"right_expr":{"type":"numeric_atoms","value":3625,"base":2}}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2089,"base":2},"right_expr":{"type":"numeric_atoms","value":4429,"base":2}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1306,"base":2},"right_expr":{"type":"numeric_atoms","value":3257,"base":2}}}}},"used_operators":["9FxExcQeMw","mqXw5SEYmG","y75s1iXyHd","5KTvxBwnZo","W4tP9CfskL","I7sXao9hZE","JclMnS0uGI","TpPTUOHfaN","j6NVkjMzuk","YbUVn0Rbpy","eRqsBgTDFp","Af076pWI7l"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","AHs5Up7iyr","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","W4YGzv6Whe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≮⫘↔1001010100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1339, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-997","layer":3},{"info":"number node, value=4880","layer":4},{"info":"number node, value=4109","layer":4},{"info":"compute binary expreesion, left_input=4880, right_input=4109, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=26104680","layer":3},{"info":"compute binary expreesion, left_input=-997, right_input=26104680, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"number node, value=2888","layer":4},{"info":"number node, value=3862","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=3862, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3862","layer":3},{"info":"number node, value=3824","layer":4},{"info":"number node, value=3625","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=3625, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3862, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"number node, value=2089","layer":4},{"info":"number node, value=4429","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=4429, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4178","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=3257","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=3257, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=4178, right_input=-134, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=30","layer":2},{"info":"compute unary expreesion, input=30, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2400","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2400, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4768","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111001001≒∊≮⫘↔10100111011⨒≮⫘↔1001100010000⊋≮⫘↔1000000001101)⫸⊐(≮⫘↔101101001000⨔⇊≮⫘↔111100010110⪁≮⫘↔111011110000+⇶⊼≮⫘↔111000101001))⩷∴((≮⫘↔100000101001⪒⊣⊆≮⫘↔1000101001101⋛≮⫘↔10100011010↓≮⫘↔110010111001)⨀⨒)=≮⫘↔1001010100000","reverse_text":"≮⫘↔1001010100000=((≮⫘↔10111001001≒∊≮⫘↔10100111011⨒≮⫘↔1001100010000⊋≮⫘↔1000000001101)⫸⊐(≮⫘↔101101001000⨔⇊≮⫘↔111100010110⪁≮⫘↔111011110000+⇶⊼≮⫘↔111000101001))⩷∴((≮⫘↔100000101001⪒⊣⊆≮⫘↔1000101001101⋛≮⫘↔10100011010↓≮⫘↔110010111001)⨀⨒)","cot":[{"info":"≮⫘↔10111001001≒∊≮⫘↔10100111011=≮⫘↔-1111100101","layer":3},{"info":"≮⫘↔1001100010000⊋≮⫘↔1000000001101=≮⫘↔1100011100101001101101000","layer":3},{"info":"≮⫘↔-1111100101⨒≮⫘↔1100011100101001101101000=≮⫘↔0","layer":2},{"info":"≮⫘↔101101001000⨔⇊≮⫘↔111100010110=≮⫘↔111100010110","layer":3},{"info":"≮⫘↔111011110000+⇶⊼≮⫘↔111000101001=NaN","layer":3},{"info":"≮⫘↔111100010110⪁NaN=NaN","layer":2},{"info":"≮⫘↔0⫸⊐NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔100000101001⪒⊣⊆≮⫘↔1000101001101=≮⫘↔1000001010010","layer":3},{"info":"≮⫘↔10100011010↓≮⫘↔110010111001=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔1000001010010⋛≮⫘↔-10000110=≮⫘↔11110","layer":2},{"info":"≮⫘↔11110⨀⨒=≮⫘↔-100101100000","layer":1},{"info":"≮⫘↔0⩷∴≮⫘↔-100101100000=≮⫘↔1001010100000","layer":0}]}
{"id":660,"expression_no_base_symbol":"($5163$⫉⨲⊜$1221$⫢⨠$3465$⪍↜⋙$6269$⪠⩆⊳)⩁⩘(((⋎⨆$1689$)⋓(↸⊣$1343$))⪍↜⋙(($4906$⪑⩈)⫭))","expression":"(≮⫘↔1010000101011⫉⨲⊜≮⫘↔10011000101⫢⨠≮⫘↔110110001001⪍↜⋙≮⫘↔1100001111101⪠⩆⊳)⩁⩘(((⋎⨆≮⫘↔11010011001)⋓(↸⊣≮⫘↔10100111111))⪍↜⋙((≮⫘↔1001100101010⪑⩈)⫭))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":250,"operation_count":11,"complexity_ratio":22.727272727272727,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5163,"base":2},"right_expr":{"type":"numeric_atoms","value":1221,"base":2}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3465,"base":2},"right_expr":{"type":"numeric_atoms","value":6269,"base":2}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1689,"base":2}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1343,"base":2}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":4906,"base":2}}}}},"used_operators":["gub5Cegaqo","JLbD19bQDL","xlXykHWxX1","WhqkvtTD3t","L05ObWFQCd","T2fj7uvVaJ","E64sFOc4tB","wztAlM01eG","t4WUHVGj7f","C6VvDP6HwP"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5163","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=5163, right_input=1221, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3465","layer":4},{"info":"number node, value=6269","layer":4},{"info":"compute binary expreesion, left_input=3465, right_input=6269, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-30646","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-30646, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=243898","layer":2},{"info":"compute unary expreesion, input=243898, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1056","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1056, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=4906","layer":4},{"info":"compute unary expreesion, input=4906, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=35932","layer":3},{"info":"compute unary expreesion, input=35932, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=108037","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=108037, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-216857","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-216857, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010000101011⫉⨲⊜≮⫘↔10011000101⫢⨠≮⫘↔110110001001⪍↜⋙≮⫘↔1100001111101⪠⩆⊳)⩁⩘(((⋎⨆≮⫘↔11010011001)⋓(↸⊣≮⫘↔10100111111))⪍↜⋙((≮⫘↔1001100101010⪑⩈)⫭))=NaN","reverse_text":"NaN=(≮⫘↔1010000101011⫉⨲⊜≮⫘↔10011000101⫢⨠≮⫘↔110110001001⪍↜⋙≮⫘↔1100001111101⪠⩆⊳)⩁⩘(((⋎⨆≮⫘↔11010011001)⋓(↸⊣≮⫘↔10100111111))⪍↜⋙((≮⫘↔1001100101010⪑⩈)⫭))","cot":[{"info":"≮⫘↔1010000101011⫉⨲⊜≮⫘↔10011000101=≮⫘↔0","layer":3},{"info":"≮⫘↔110110001001⪍↜⋙≮⫘↔1100001111101=≮⫘↔-111011110110110","layer":3},{"info":"≮⫘↔0⫢⨠≮⫘↔-111011110110110=≮⫘↔111011100010111010","layer":2},{"info":"≮⫘↔111011100010111010⪠⩆⊳=≮⫘↔0","layer":1},{"info":"⋎⨆≮⫘↔11010011001=≮⫘↔0","layer":3},{"info":"↸⊣≮⫘↔10100111111=≮⫘↔-10000100000","layer":3},{"info":"≮⫘↔0⋓≮⫘↔-10000100000=≮⫘↔0","layer":2},{"info":"≮⫘↔1001100101010⪑⩈=≮⫘↔1000110001011100","layer":3},{"info":"≮⫘↔1000110001011100⫭=≮⫘↔11010011000000101","layer":2},{"info":"≮⫘↔0⪍↜⋙≮⫘↔11010011000000101=≮⫘↔-110100111100011001","layer":1},{"info":"≮⫘↔0⩁⩘≮⫘↔-110100111100011001=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"($2499$∪⫐$1968$)⇻⋧≁($5529$⫠)∌(($6575$⇉⇉)∵≐)≨(↣≠⋷($1008$∊∟⩊$2391$⨔≚≋($3788$⊠≄⫣)))","expression":"(≮⫘↔100111000011∪⫐≮⫘↔11110110000)⇻⋧≁(≮⫘↔1010110011001⫠)∌((≮⫘↔1100110101111⇉⇉)∵≐)≨(↣≠⋷(≮⫘↔1111110000∊∟⩊≮⫘↔100101010111⨔≚≋(≮⫘↔111011001100⊠≄⫣)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":83492,"operation_count":11,"complexity_ratio":7590.181818181818,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2499,"base":2},"right_expr":{"type":"numeric_atoms","value":1968,"base":2}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":5529,"base":2}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":6575,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1008,"base":2},"right_expr":{"type":"numeric_atoms","value":2391,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3788,"base":2}}}}},"used_operators":["0KMCeP1Jsh","8cLx32lpNA","jCPkEVoL5K","7YooWSwCyH","6SnOT2rOjz","59igzFyhWz","diKm42VcIt","Asc51vEJeQ","Z57zeUYC9z","ddLRYrp01A","DIvbN7qnHd"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rJVOvQCfKK","2DDjHMKMc0","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","XhwjNDsVaA","AHs5Up7iyr","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔11000001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2499","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=1968, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2499","layer":3},{"info":"number node, value=5529","layer":4},{"info":"compute unary expreesion, input=5529, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2499, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=6575","layer":4},{"info":"compute unary expreesion, input=6575, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-432356","layer":3},{"info":"compute unary expreesion, input=-432356, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=431906","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=431906, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-447","layer":1},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2391, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2391","layer":3},{"info":"number node, value=3788","layer":4},{"info":"compute unary expreesion, input=3788, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2391, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute unary expreesion, input=9872, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1550","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100111000011∪⫐≮⫘↔11110110000)⇻⋧≁(≮⫘↔1010110011001⫠)∌((≮⫘↔1100110101111⇉⇉)∵≐)≨(↣≠⋷(≮⫘↔1111110000∊∟⩊≮⫘↔100101010111⨔≚≋(≮⫘↔111011001100⊠≄⫣)))=≮⫘↔11000001110","reverse_text":"≮⫘↔11000001110=(≮⫘↔100111000011∪⫐≮⫘↔11110110000)⇻⋧≁(≮⫘↔1010110011001⫠)∌((≮⫘↔1100110101111⇉⇉)∵≐)≨(↣≠⋷(≮⫘↔1111110000∊∟⩊≮⫘↔100101010111⨔≚≋(≮⫘↔111011001100⊠≄⫣)))","cot":[{"info":"≮⫘↔100111000011∪⫐≮⫘↔11110110000=≮⫘↔100111000011","layer":3},{"info":"≮⫘↔1010110011001⫠=≮⫘↔0","layer":3},{"info":"≮⫘↔100111000011⇻⋧≁≮⫘↔0=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔1100110101111⇉⇉=≮⫘↔-1101001100011100100","layer":3},{"info":"≮⫘↔-1101001100011100100∵≐=≮⫘↔1101001011100100010","layer":2},{"info":"≮⫘↔-110111111∌≮⫘↔1101001011100100010=≮⫘↔-110111111","layer":1},{"info":"≮⫘↔1111110000∊∟⩊≮⫘↔100101010111=≮⫘↔100101010111","layer":3},{"info":"≮⫘↔111011001100⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔100101010111⨔≚≋≮⫘↔0=≮⫘↔10011010010000","layer":2},{"info":"↣≠⋷≮⫘↔10011010010000=NaN","layer":1},{"info":"≮⫘↔-110111111≨NaN=≮⫘↔11000001110","layer":0}]}
{"id":662,"expression_no_base_symbol":"(⫛⫱⨽($3856$⨐⩸⫘$1690$)∓⋝($2016$⪉⨛$2661$))⫁⪎(($4296$↓$3750$⨳⩥⨓$2027$⨜⨶$1680$)⊋($1033$⇄$6247$≭($2810$⫌⩉⩟$1214$)))","expression":"(⫛⫱⨽(≮⫘↔111100010000⨐⩸⫘≮⫘↔11010011010)∓⋝(≮⫘↔11111100000⪉⨛≮⫘↔101001100101))⫁⪎((≮⫘↔1000011001000↓≮⫘↔111010100110⨳⩥⨓≮⫘↔11111101011⨜⨶≮⫘↔11010010000)⊋(≮⫘↔10000001001⇄≮⫘↔1100001100111≭(≮⫘↔101011111010⫌⩉⩟≮⫘↔10010111110)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":61756,"operation_count":12,"complexity_ratio":5146.333333333333,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3856,"base":2},"right_expr":{"type":"numeric_atoms","value":1690,"base":2}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2016,"base":2},"right_expr":{"type":"numeric_atoms","value":2661,"base":2}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4296,"base":2},"right_expr":{"type":"numeric_atoms","value":3750,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2027,"base":2},"right_expr":{"type":"numeric_atoms","value":1680,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1033,"base":2},"right_expr":{"type":"numeric_atoms","value":6247,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2810,"base":2},"right_expr":{"type":"numeric_atoms","value":1214,"base":2}}}}},"used_operators":["xRrnTEsQ6j","DlLNRPXxWL","PoHhknlbAi","fu6greOZ01","EWw2JM7wp4","W4tP9CfskL","nCS4ZIUYfx","Af076pWI7l","HiPekx5b7W","rxpJgHHUmx","3EYGwJThht","XIIwhv8d0m"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rGHVDoGpnC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","3ViojmjbAp","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3856","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=3856, right_input=1690, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2016","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=2661, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3602","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3602, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=4296","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=4296, right_input=3750, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2027","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=1680, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3104","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-3104, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2970","layer":2},{"info":"number node, value=1033","layer":4},{"info":"number node, value=6247","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=6247, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2810","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=1214, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2970, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫛⫱⨽(≮⫘↔111100010000⨐⩸⫘≮⫘↔11010011010)∓⋝(≮⫘↔11111100000⪉⨛≮⫘↔101001100101))⫁⪎((≮⫘↔1000011001000↓≮⫘↔111010100110⨳⩥⨓≮⫘↔11111101011⨜⨶≮⫘↔11010010000)⊋(≮⫘↔10000001001⇄≮⫘↔1100001100111≭(≮⫘↔101011111010⫌⩉⩟≮⫘↔10010111110)))=NaN","reverse_text":"NaN=(⫛⫱⨽(≮⫘↔111100010000⨐⩸⫘≮⫘↔11010011010)∓⋝(≮⫘↔11111100000⪉⨛≮⫘↔101001100101))⫁⪎((≮⫘↔1000011001000↓≮⫘↔111010100110⨳⩥⨓≮⫘↔11111101011⨜⨶≮⫘↔11010010000)⊋(≮⫘↔10000001001⇄≮⫘↔1100001100111≭(≮⫘↔101011111010⫌⩉⩟≮⫘↔10010111110)))","cot":[{"info":"≮⫘↔111100010000⨐⩸⫘≮⫘↔11010011010=NaN","layer":3},{"info":"≮⫘↔11111100000⪉⨛≮⫘↔101001100101=≮⫘↔111000010010","layer":3},{"info":"NaN∓⋝≮⫘↔111000010010=≮⫘↔1000011","layer":2},{"info":"⫛⫱⨽≮⫘↔1000011=≮⫘↔0","layer":1},{"info":"≮⫘↔1000011001000↓≮⫘↔111010100110=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔11111101011⨜⨶≮⫘↔11010010000=≮⫘↔-110000100000","layer":3},{"info":"≮⫘↔-10000110⨳⩥⨓≮⫘↔-110000100000=≮⫘↔-101110011010","layer":2},{"info":"≮⫘↔10000001001⇄≮⫘↔1100001100111=≮⫘↔0","layer":3},{"info":"≮⫘↔101011111010⫌⩉⩟≮⫘↔10010111110=≮⫘↔-110010","layer":3},{"info":"≮⫘↔0≭≮⫘↔-110010=NaN","layer":2},{"info":"≮⫘↔-101110011010⊋NaN=NaN","layer":1},{"info":"≮⫘↔0⫁⪎NaN=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"(⪡⇡≛(($1912$⨚⇆$2570$)⨻⩈⩔$6562$⫉⨲⊜$4171$))⫸⊐($1201$↬$1740$⩨$3071$⪶≀⋏$4182$)⋕⪉⪜($3470$⨜⨶$5269$+($7942$⇚⪠))","expression":"(⪡⇡≛((≮⫘↔11101111000⨚⇆≮⫘↔101000001010)⨻⩈⩔≮⫘↔1100110100010⫉⨲⊜≮⫘↔1000001001011))⫸⊐(≮⫘↔10010110001↬≮⫘↔11011001100⩨≮⫘↔101111111111⪶≀⋏≮⫘↔1000001010110)⋕⪉⪜(≮⫘↔110110001110⨜⨶≮⫘↔1010010010101+(≮⫘↔1111100000110⇚⪠))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21578,"operation_count":12,"complexity_ratio":1798.1666666666667,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1912,"base":2},"right_expr":{"type":"numeric_atoms","value":2570,"base":2}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":6562,"base":2},"right_expr":{"type":"numeric_atoms","value":4171,"base":2}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1201,"base":2},"right_expr":{"type":"numeric_atoms","value":1740,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3071,"base":2},"right_expr":{"type":"numeric_atoms","value":4182,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3470,"base":2},"right_expr":{"type":"numeric_atoms","value":5269,"base":2}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":7942,"base":2}}}}},"used_operators":["mqXw5SEYmG","qL4PrbW1Dq","nEsXyWgiOK","lwHaAYXP2r","WhqkvtTD3t","z6LnFrNh4i","2DlMacCsIx","B5M0gjZbta","zR4jO40bMj","W4YGzv6Whe","HiPekx5b7W","Loh9y4A90B"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eewbuw0ToL","zVYPLywUTj","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1912","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=2570, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=6562","layer":4},{"info":"number node, value=4171","layer":4},{"info":"compute binary expreesion, left_input=6562, right_input=4171, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":1},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1740, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3071","layer":4},{"info":"number node, value=4182","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=4182, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17809","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17809, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3470","layer":4},{"info":"number node, value=5269","layer":4},{"info":"compute binary expreesion, left_input=3470, right_input=5269, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-10282","layer":3},{"info":"number node, value=7942","layer":4},{"info":"compute unary expreesion, input=7942, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=126150728","layer":3},{"info":"compute binary expreesion, left_input=-10282, right_input=126150728, op_id = W4YGzv6Whe binary_op_definition= 'None', output=126140446","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=126140446, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪡⇡≛((≮⫘↔11101111000⨚⇆≮⫘↔101000001010)⨻⩈⩔≮⫘↔1100110100010⫉⨲⊜≮⫘↔1000001001011))⫸⊐(≮⫘↔10010110001↬≮⫘↔11011001100⩨≮⫘↔101111111111⪶≀⋏≮⫘↔1000001010110)⋕⪉⪜(≮⫘↔110110001110⨜⨶≮⫘↔1010010010101+(≮⫘↔1111100000110⇚⪠))=NaN","reverse_text":"NaN=(⪡⇡≛((≮⫘↔11101111000⨚⇆≮⫘↔101000001010)⨻⩈⩔≮⫘↔1100110100010⫉⨲⊜≮⫘↔1000001001011))⫸⊐(≮⫘↔10010110001↬≮⫘↔11011001100⩨≮⫘↔101111111111⪶≀⋏≮⫘↔1000001010110)⋕⪉⪜(≮⫘↔110110001110⨜⨶≮⫘↔1010010010101+(≮⫘↔1111100000110⇚⪠))","cot":[{"info":"≮⫘↔11101111000⨚⇆≮⫘↔101000001010=NaN","layer":3},{"info":"≮⫘↔1100110100010⫉⨲⊜≮⫘↔1000001001011=≮⫘↔0","layer":3},{"info":"NaN⨻⩈⩔≮⫘↔0=NaN","layer":2},{"info":"⪡⇡≛NaN=NaN","layer":1},{"info":"≮⫘↔10010110001↬≮⫘↔11011001100=NaN","layer":3},{"info":"≮⫘↔101111111111⪶≀⋏≮⫘↔1000001010110=≮⫘↔-100010110010001","layer":3},{"info":"NaN⩨≮⫘↔-100010110010001=NaN","layer":2},{"info":"≮⫘↔110110001110⨜⨶≮⫘↔1010010010101=≮⫘↔-10100000101010","layer":3},{"info":"≮⫘↔1111100000110⇚⪠=≮⫘↔111100001001110100001001000","layer":3},{"info":"≮⫘↔-10100000101010+≮⫘↔111100001001110100001001000=≮⫘↔111100001001100000000011110","layer":2},{"info":"NaN⋕⪉⪜≮⫘↔111100001001100000000011110=≮⫘↔11001100","layer":1},{"info":"NaN⫸⊐≮⫘↔11001100=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(($4237$∊∟⩊$1748$≫≃)⪨≂(($5266$≎⪠$3641$)⊀⩕))⨒($2269$⨟⋌⩍$1864$)⨥⫆($6468$⫒⫫$3707$)⫒⫫(⨮↦↱($3599$⪡$2304$))","expression":"((≮⫘↔1000010001101∊∟⩊≮⫘↔11011010100≫≃)⪨≂((≮⫘↔1010010010010≎⪠≮⫘↔111000111001)⊀⩕))⨒(≮⫘↔100011011101⨟⋌⩍≮⫘↔11101001000)⨥⫆(≮⫘↔1100101000100⫒⫫≮⫘↔111001111011)⫒⫫(⨮↦↱(≮⫘↔111000001111⪡≮⫘↔100100000000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20960,"operation_count":12,"complexity_ratio":1746.6666666666667,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4237,"base":2},"right_expr":{"type":"numeric_atoms","value":1748,"base":2}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5266,"base":2},"right_expr":{"type":"numeric_atoms","value":3641,"base":2}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2269,"base":2},"right_expr":{"type":"numeric_atoms","value":1864,"base":2}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":6468,"base":2},"right_expr":{"type":"numeric_atoms","value":3707,"base":2}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3599,"base":2},"right_expr":{"type":"numeric_atoms","value":2304,"base":2}}}}},"used_operators":["y75s1iXyHd","sdazOOVcIp","X99M06cbEe","ddLRYrp01A","r0FS3hW4cC","aNhz54LH3e","6Ko8hGgeMq","yXekIHxTD4","rGHVDoGpnC","sYcpBQ0cFf","oraRL2iQuh"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rGHVDoGpnC","nhYeJWJD5X","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Tcnh7f0tEr","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4237","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=4237, right_input=1748, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1748","layer":3},{"info":"compute unary expreesion, input=1748, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4897","layer":2},{"info":"number node, value=5266","layer":4},{"info":"number node, value=3641","layer":4},{"info":"compute binary expreesion, left_input=5266, right_input=3641, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4897, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9896","layer":1},{"info":"number node, value=2269","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=1864, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6468","layer":4},{"info":"number node, value=3707","layer":4},{"info":"compute binary expreesion, left_input=6468, right_input=3707, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=3599","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=2304, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-698748","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-698748, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9896, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000010001101∊∟⩊≮⫘↔11011010100≫≃)⪨≂((≮⫘↔1010010010010≎⪠≮⫘↔111000111001)⊀⩕))⨒(≮⫘↔100011011101⨟⋌⩍≮⫘↔11101001000)⨥⫆(≮⫘↔1100101000100⫒⫫≮⫘↔111001111011)⫒⫫(⨮↦↱(≮⫘↔111000001111⪡≮⫘↔100100000000))=NaN","reverse_text":"NaN=((≮⫘↔1000010001101∊∟⩊≮⫘↔11011010100≫≃)⪨≂((≮⫘↔1010010010010≎⪠≮⫘↔111000111001)⊀⩕))⨒(≮⫘↔100011011101⨟⋌⩍≮⫘↔11101001000)⨥⫆(≮⫘↔1100101000100⫒⫫≮⫘↔111001111011)⫒⫫(⨮↦↱(≮⫘↔111000001111⪡≮⫘↔100100000000))","cot":[{"info":"≮⫘↔1000010001101∊∟⩊≮⫘↔11011010100=≮⫘↔11011010100","layer":3},{"info":"≮⫘↔11011010100≫≃=≮⫘↔1001100100001","layer":2},{"info":"≮⫘↔1010010010010≎⪠≮⫘↔111000111001=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔100110001100110⊀⩕=≮⫘↔0","layer":2},{"info":"≮⫘↔1001100100001⪨≂≮⫘↔0=≮⫘↔10011010101000","layer":1},{"info":"≮⫘↔100011011101⨟⋌⩍≮⫘↔11101001000=NaN","layer":3},{"info":"≮⫘↔1100101000100⫒⫫≮⫘↔111001111011=NaN","layer":3},{"info":"NaN⨥⫆NaN=NaN","layer":2},{"info":"≮⫘↔111000001111⪡≮⫘↔100100000000=≮⫘↔1101011","layer":3},{"info":"⨮↦↱≮⫘↔1101011=≮⫘↔-10101010100101111100","layer":2},{"info":"NaN⫒⫫≮⫘↔-10101010100101111100=NaN","layer":1},{"info":"≮⫘↔10011010101000⨒NaN=NaN","layer":0}]}
{"id":665,"expression_no_base_symbol":"((↪⫪⫘$4252$)⪒(⊈$1074$))⋓((≀↧⇸$1054$)⫏⊷)⫥∨⫟((($1887$∕⩚$2683$)⋅⇍(∑⇻≧$7739$))⪘⨀)","expression":"((↪⫪⫘≮⫘↔1000010011100)⪒(⊈≮⫘↔10000110010))⋓((≀↧⇸≮⫘↔10000011110)⫏⊷)⫥∨⫟(((≮⫘↔11101011111∕⩚≮⫘↔101001111011)⋅⇍(∑⇻≧≮⫘↔1111000111011))⪘⨀)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8824,"operation_count":11,"complexity_ratio":802.1818181818181,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4252,"base":2}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1074,"base":2}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1054,"base":2}}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1887,"base":2},"right_expr":{"type":"numeric_atoms","value":2683,"base":2}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":7739,"base":2}}}}},"used_operators":["KYD54nUTWz","T2fj7uvVaJ","f6k1SAg4EE","9dWsAM3GFt","RHru8klgy8","dcShxvzhyw","ljTHtUsqzn","aA7tF3KVD3","AdZkA7nFnk","z9ffQ9n5Zr","l1M9WJ3V7u"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","12rbrZMWeM","xUOZtlo3hN","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","XPYlsWDdGa","23Mk6UjR3U","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4252","layer":4},{"info":"compute unary expreesion, input=4252, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1248","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-1248, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1228","layer":2},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2108","layer":3},{"info":"compute unary expreesion, input=2108, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=1228, right_input=-820, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=1887","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=2683, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1890","layer":3},{"info":"number node, value=7739","layer":4},{"info":"compute unary expreesion, input=7739, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=-1890, right_input=-852, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=1317","layer":2},{"info":"compute unary expreesion, input=1317, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-3215","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3215, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↪⫪⫘≮⫘↔1000010011100)⪒(⊈≮⫘↔10000110010))⋓((≀↧⇸≮⫘↔10000011110)⫏⊷)⫥∨⫟(((≮⫘↔11101011111∕⩚≮⫘↔101001111011)⋅⇍(∑⇻≧≮⫘↔1111000111011))⪘⨀)=NaN","reverse_text":"NaN=((↪⫪⫘≮⫘↔1000010011100)⪒(⊈≮⫘↔10000110010))⋓((≀↧⇸≮⫘↔10000011110)⫏⊷)⫥∨⫟(((≮⫘↔11101011111∕⩚≮⫘↔101001111011)⋅⇍(∑⇻≧≮⫘↔1111000111011))⪘⨀)","cot":[{"info":"↪⫪⫘≮⫘↔1000010011100=≮⫘↔10100","layer":3},{"info":"⊈≮⫘↔10000110010=≮⫘↔-10011100000","layer":3},{"info":"≮⫘↔10100⪒≮⫘↔-10011100000=≮⫘↔10011001100","layer":2},{"info":"≀↧⇸≮⫘↔10000011110=≮⫘↔100000111100","layer":3},{"info":"≮⫘↔100000111100⫏⊷=≮⫘↔-1100110100","layer":2},{"info":"≮⫘↔10011001100⋓≮⫘↔-1100110100=≮⫘↔0","layer":1},{"info":"≮⫘↔11101011111∕⩚≮⫘↔101001111011=≮⫘↔-11101100010","layer":3},{"info":"∑⇻≧≮⫘↔1111000111011=≮⫘↔-1101010100","layer":3},{"info":"≮⫘↔-11101100010⋅⇍≮⫘↔-1101010100=≮⫘↔10100100101","layer":2},{"info":"≮⫘↔10100100101⪘⨀=≮⫘↔-110010001111","layer":1},{"info":"≮⫘↔0⫥∨⫟≮⫘↔-110010001111=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(($1088$↙$1376$)⨚⇆$5264$∼$4229$⇆⨓≜)∘($4660$⩧⪆$5369$)⨔⇊($1925$⪢$2512$)⋥⋵⩄(($1971$∪⫐$1592$)⩘⨬⇊)","expression":"((≮⫘↔10001000000↙≮⫘↔10101100000)⨚⇆≮⫘↔1010010010000∼≮⫘↔1000010000101⇆⨓≜)∘(≮⫘↔1001000110100⩧⪆≮⫘↔1010011111001)⨔⇊(≮⫘↔11110000101⪢≮⫘↔100111010000)⋥⋵⩄((≮⫘↔11110110011∪⫐≮⫘↔11000111000)⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5230,"operation_count":11,"complexity_ratio":475.45454545454544,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1088,"base":2},"right_expr":{"type":"numeric_atoms","value":1376,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5264,"base":2},"right_expr":{"type":"numeric_atoms","value":4229,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4660,"base":2},"right_expr":{"type":"numeric_atoms","value":5369,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1925,"base":2},"right_expr":{"type":"numeric_atoms","value":2512,"base":2}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1971,"base":2},"right_expr":{"type":"numeric_atoms","value":1592,"base":2}}}}},"used_operators":["Z5m6OM72h2","KvvgdUaMHJ","lwHaAYXP2r","yyfyN0ffXY","DyGG3AbaNP","7t3wd0Fuz7","JclMnS0uGI","Ikt5ks8PT7","dWAJyo7jo9","XXmTpEpWTW","7YooWSwCyH"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","Uaa54Peajs","KYD54nUTWz","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","k8jYdgA6NY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1376, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4128","layer":3},{"info":"number node, value=5264","layer":4},{"info":"number node, value=4229","layer":4},{"info":"compute binary expreesion, left_input=5264, right_input=4229, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4128, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"number node, value=4660","layer":4},{"info":"number node, value=5369","layer":4},{"info":"compute binary expreesion, left_input=4660, right_input=5369, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5369","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=2512, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5369, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"number node, value=1971","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=1592, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1971","layer":3},{"info":"compute unary expreesion, input=1971, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001000000↙≮⫘↔10101100000)⨚⇆≮⫘↔1010010010000∼≮⫘↔1000010000101⇆⨓≜)∘(≮⫘↔1001000110100⩧⪆≮⫘↔1010011111001)⨔⇊(≮⫘↔11110000101⪢≮⫘↔100111010000)⋥⋵⩄((≮⫘↔11110110011∪⫐≮⫘↔11000111000)⩘⨬⇊)=NaN","reverse_text":"NaN=((≮⫘↔10001000000↙≮⫘↔10101100000)⨚⇆≮⫘↔1010010010000∼≮⫘↔1000010000101⇆⨓≜)∘(≮⫘↔1001000110100⩧⪆≮⫘↔1010011111001)⨔⇊(≮⫘↔11110000101⪢≮⫘↔100111010000)⋥⋵⩄((≮⫘↔11110110011∪⫐≮⫘↔11000111000)⩘⨬⇊)","cot":[{"info":"≮⫘↔10001000000↙≮⫘↔10101100000=≮⫘↔-1000000100000","layer":3},{"info":"≮⫘↔1010010010000∼≮⫘↔1000010000101=NaN","layer":3},{"info":"≮⫘↔-1000000100000⨚⇆NaN=-Inf","layer":2},{"info":"-Inf⇆⨓≜=NaN","layer":1},{"info":"≮⫘↔1001000110100⩧⪆≮⫘↔1010011111001=≮⫘↔-1010011111001","layer":3},{"info":"≮⫘↔11110000101⪢≮⫘↔100111010000=NaN","layer":3},{"info":"≮⫘↔-1010011111001⨔⇊NaN=NaN","layer":2},{"info":"≮⫘↔11110110011∪⫐≮⫘↔11000111000=≮⫘↔11110110011","layer":3},{"info":"≮⫘↔11110110011⩘⨬⇊=NaN","layer":2},{"info":"NaN⋥⋵⩄NaN=NaN","layer":1},{"info":"NaN∘NaN=NaN","layer":0}]}
{"id":667,"expression_no_base_symbol":"((⇋↷$5805$⩌⋺$1548$)⪛⫼($1947$⋾⨃∁$1404$≑≱⪘))⫭","expression":"((⇋↷≮⫘↔1011010101101⩌⋺≮⫘↔11000001100)⪛⫼(≮⫘↔11110011011⋾⨃∁≮⫘↔10101111100≑≱⪘))⫭","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2216,"operation_count":6,"complexity_ratio":369.3333333333333,"tree":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5805,"base":2},"right_expr":{"type":"numeric_atoms","value":1548,"base":2}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1947,"base":2},"right_expr":{"type":"numeric_atoms","value":1404,"base":2}}}}},"used_operators":["t4WUHVGj7f","hyuBjUqXlG","SWo3A1KBJH","g7Hmc5v1ko","tGSeddj7UK","212REbPD9h"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5805","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=5805, right_input=1548, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-7474","layer":3},{"info":"compute unary expreesion, input=-7474, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-29256","layer":2},{"info":"number node, value=1947","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=1404, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=19695218","layer":3},{"info":"compute unary expreesion, input=19695218, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-29256, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇋↷≮⫘↔1011010101101⩌⋺≮⫘↔11000001100)⪛⫼(≮⫘↔11110011011⋾⨃∁≮⫘↔10101111100≑≱⪘))⫭=NaN","reverse_text":"NaN=((⇋↷≮⫘↔1011010101101⩌⋺≮⫘↔11000001100)⪛⫼(≮⫘↔11110011011⋾⨃∁≮⫘↔10101111100≑≱⪘))⫭","cot":[{"info":"≮⫘↔1011010101101⩌⋺≮⫘↔11000001100=≮⫘↔-1110100110010","layer":3},{"info":"⇋↷≮⫘↔-1110100110010=≮⫘↔-111001001001000","layer":2},{"info":"≮⫘↔11110011011⋾⨃∁≮⫘↔10101111100=≮⫘↔1001011001000011001110010","layer":3},{"info":"≮⫘↔1001011001000011001110010≑≱⪘=NaN","layer":2},{"info":"≮⫘↔-111001001001000⪛⫼NaN=NaN","layer":1},{"info":"NaN⫭=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"(((⨛$3670$)≧⫂∧($1688$⊭↱$6205$))⇴($1902$↡⊰⫅$3770$)⊔($1007$⨵⪆$2043$))⋛((⇘($2794$≚⊃≕$1053$))⨫⇇↔($3944$⩧⪆$1565$≧⫂∧($3044$⨐⩸⫘$5015$)))","expression":"(((⨛≮⫘↔111001010110)≧⫂∧(≮⫘↔11010011000⊭↱≮⫘↔1100000111101))⇴(≮⫘↔11101101110↡⊰⫅≮⫘↔111010111010)⊔(≮⫘↔1111101111⨵⪆≮⫘↔11111111011))⋛((⇘(≮⫘↔101011101010≚⊃≕≮⫘↔10000011101))⨫⇇↔(≮⫘↔111101101000⩧⪆≮⫘↔11000011101≧⫂∧(≮⫘↔101111100100⨐⩸⫘≮⫘↔1001110010111)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":53355,"operation_count":14,"complexity_ratio":3811.0714285714284,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":3670,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1688,"base":2},"right_expr":{"type":"numeric_atoms","value":6205,"base":2}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1902,"base":2},"right_expr":{"type":"numeric_atoms","value":3770,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1007,"base":2},"right_expr":{"type":"numeric_atoms","value":2043,"base":2}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2794,"base":2},"right_expr":{"type":"numeric_atoms","value":1053,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3944,"base":2},"right_expr":{"type":"numeric_atoms","value":1565,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3044,"base":2},"right_expr":{"type":"numeric_atoms","value":5015,"base":2}}}}},"used_operators":["YbUVn0Rbpy","4JB6nKBMSY","Ph9nP6C5qx","CoMdbyAt7R","COABgblf1C","E4l6HwMY31","VCtxkLNOzz","2DQ55sFlQl","LXhwmt4mBO","MGuIdZPyUC","Bmrmz2XGnR","Ikt5ks8PT7","fu6greOZ01"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","3ViojmjbAp"],"result":"≮⫘↔10001011000011000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3670","layer":4},{"info":"compute unary expreesion, input=3670, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=6205","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=6205, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9039","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9039, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8566","layer":2},{"info":"number node, value=1902","layer":4},{"info":"number node, value=3770","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=3770, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=7540","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2043, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=7540, right_input=160, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13480","layer":2},{"info":"compute binary expreesion, left_input=8566, right_input=13480, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=77970","layer":1},{"info":"number node, value=2794","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=1053, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-151873","layer":2},{"info":"number node, value=3944","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=1565, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1565","layer":3},{"info":"number node, value=3044","layer":4},{"info":"number node, value=5015","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=5015, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1565, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-151873, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=77970, right_input=-527, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=569538","layer":0}],"base":2,"result_base":2,"text":"(((⨛≮⫘↔111001010110)≧⫂∧(≮⫘↔11010011000⊭↱≮⫘↔1100000111101))⇴(≮⫘↔11101101110↡⊰⫅≮⫘↔111010111010)⊔(≮⫘↔1111101111⨵⪆≮⫘↔11111111011))⋛((⇘(≮⫘↔101011101010≚⊃≕≮⫘↔10000011101))⨫⇇↔(≮⫘↔111101101000⩧⪆≮⫘↔11000011101≧⫂∧(≮⫘↔101111100100⨐⩸⫘≮⫘↔1001110010111)))=≮⫘↔10001011000011000010","reverse_text":"≮⫘↔10001011000011000010=(((⨛≮⫘↔111001010110)≧⫂∧(≮⫘↔11010011000⊭↱≮⫘↔1100000111101))⇴(≮⫘↔11101101110↡⊰⫅≮⫘↔111010111010)⊔(≮⫘↔1111101111⨵⪆≮⫘↔11111111011))⋛((⇘(≮⫘↔101011101010≚⊃≕≮⫘↔10000011101))⨫⇇↔(≮⫘↔111101101000⩧⪆≮⫘↔11000011101≧⫂∧(≮⫘↔101111100100⨐⩸⫘≮⫘↔1001110010111)))","cot":[{"info":"⨛≮⫘↔111001010110=NaN","layer":3},{"info":"≮⫘↔11010011000⊭↱≮⫘↔1100000111101=≮⫘↔10001101001111","layer":3},{"info":"NaN≧⫂∧≮⫘↔10001101001111=≮⫘↔10000101110110","layer":2},{"info":"≮⫘↔11101101110↡⊰⫅≮⫘↔111010111010=≮⫘↔1110101110100","layer":3},{"info":"≮⫘↔1111101111⨵⪆≮⫘↔11111111011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1110101110100⊔≮⫘↔10100000=≮⫘↔11010010101000","layer":2},{"info":"≮⫘↔10000101110110⇴≮⫘↔11010010101000=≮⫘↔10011000010010010","layer":1},{"info":"≮⫘↔101011101010≚⊃≕≮⫘↔10000011101=≮⫘↔1000011","layer":3},{"info":"⇘≮⫘↔1000011=≮⫘↔-100101000101000001","layer":2},{"info":"≮⫘↔111101101000⩧⪆≮⫘↔11000011101=≮⫘↔-11000011101","layer":3},{"info":"≮⫘↔101111100100⨐⩸⫘≮⫘↔1001110010111=NaN","layer":3},{"info":"≮⫘↔-11000011101≧⫂∧NaN=NaN","layer":2},{"info":"≮⫘↔-100101000101000001⨫⇇↔NaN=≮⫘↔-1000001111","layer":1},{"info":"≮⫘↔10011000010010010⋛≮⫘↔-1000001111=≮⫘↔10001011000011000010","layer":0}]}
{"id":669,"expression_no_base_symbol":"(⋠∜($6221$⇽⩪))⨎($4310$≭$4053$⪐)⋷((⩦⊞$1129$)⋭≵$2243$⪬$2319$)≹⇙⪍($3164$⇚⪠)↳∿⪆$2655$⪟⇏$3531$","expression":"(⋠∜(≮⫘↔1100001001101⇽⩪))⨎(≮⫘↔1000011010110≭≮⫘↔111111010101⪐)⋷((⩦⊞≮⫘↔10001101001)⋭≵≮⫘↔100011000011⪬≮⫘↔100100001111)≹⇙⪍(≮⫘↔110001011100⇚⪠)↳∿⪆≮⫘↔101001011111⪟⇏≮⫘↔110111001011","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6235,"operation_count":13,"complexity_ratio":479.61538461538464,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":6221,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4310,"base":2},"right_expr":{"type":"numeric_atoms","value":4053,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1129,"base":2}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2243,"base":2},"right_expr":{"type":"numeric_atoms","value":2319,"base":2}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":3164,"base":2}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2655,"base":2},"right_expr":{"type":"numeric_atoms","value":3531,"base":2}}}}},"used_operators":["23Mk6UjR3U","rJVOvQCfKK","ZJpFhNJr3x","FonBHBYJbU","eH2TOUuTDT","rxpJgHHUmx","AHs5Up7iyr","jBncVCNhdl","u7fv1HBiaC","Ez1Nq5fNfI","Cw4SuJJGHO","Loh9y4A90B","GODebY97qR"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6221","layer":4},{"info":"compute unary expreesion, input=6221, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=12964","layer":3},{"info":"compute unary expreesion, input=12964, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=54140","layer":2},{"info":"number node, value=4310","layer":4},{"info":"number node, value=4053","layer":4},{"info":"compute binary expreesion, left_input=4310, right_input=4053, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=54140, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-856","layer":3},{"info":"number node, value=2243","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=2319, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-856, right_input=1234, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=3164","layer":4},{"info":"compute unary expreesion, input=3164, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=20021792","layer":3},{"info":"number node, value=2655","layer":4},{"info":"number node, value=3531","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=3531, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=20021792, right_input=-1, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋠∜(≮⫘↔1100001001101⇽⩪))⨎(≮⫘↔1000011010110≭≮⫘↔111111010101⪐)⋷((⩦⊞≮⫘↔10001101001)⋭≵≮⫘↔100011000011⪬≮⫘↔100100001111)≹⇙⪍(≮⫘↔110001011100⇚⪠)↳∿⪆≮⫘↔101001011111⪟⇏≮⫘↔110111001011=NaN","reverse_text":"NaN=(⋠∜(≮⫘↔1100001001101⇽⩪))⨎(≮⫘↔1000011010110≭≮⫘↔111111010101⪐)⋷((⩦⊞≮⫘↔10001101001)⋭≵≮⫘↔100011000011⪬≮⫘↔100100001111)≹⇙⪍(≮⫘↔110001011100⇚⪠)↳∿⪆≮⫘↔101001011111⪟⇏≮⫘↔110111001011","cot":[{"info":"≮⫘↔1100001001101⇽⩪=≮⫘↔11001010100100","layer":3},{"info":"⋠∜≮⫘↔11001010100100=≮⫘↔1101001101111100","layer":2},{"info":"≮⫘↔1000011010110≭≮⫘↔111111010101=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"≮⫘↔1101001101111100⨎NaN=NaN","layer":1},{"info":"⩦⊞≮⫘↔10001101001=≮⫘↔-1101011000","layer":3},{"info":"≮⫘↔100011000011⪬≮⫘↔100100001111=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-1101011000⋭≵≮⫘↔10011010010=≮⫘↔1000011","layer":2},{"info":"≮⫘↔110001011100⇚⪠=≮⫘↔1001100011000001000100000","layer":3},{"info":"≮⫘↔101001011111⪟⇏≮⫘↔110111001011=≮⫘↔-1","layer":3},{"info":"≮⫘↔1001100011000001000100000↳∿⪆≮⫘↔-1=NaN","layer":2},{"info":"≮⫘↔1000011≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":670,"expression_no_base_symbol":"(($2176$⋝⋈⪟$1018$⨳⩥⨓$1832$⋥⋵⩄$2354$)⪶≀⋏($2213$⫌⩉⩟$5644$)⊝⪿⪼$3578$⫒⫫$1954$)∊∟⩊(($1114$⊕∕$5866$⩵∡(∂⩏⊆$1450$))⋛($1106$⇡⇂$1204$+⇶⊼($4463$⪉⨛$1410$)))","expression":"((≮⫘↔100010000000⋝⋈⪟≮⫘↔1111111010⨳⩥⨓≮⫘↔11100101000⋥⋵⩄≮⫘↔100100110010)⪶≀⋏(≮⫘↔100010100101⫌⩉⩟≮⫘↔1011000001100)⊝⪿⪼≮⫘↔110111111010⫒⫫≮⫘↔11110100010)∊∟⩊((≮⫘↔10001011010⊕∕≮⫘↔1011011101010⩵∡(∂⩏⊆≮⫘↔10110101010))⋛(≮⫘↔10001010010⇡⇂≮⫘↔10010110100+⇶⊼(≮⫘↔1000101101111⪉⨛≮⫘↔10110000010)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":38079,"operation_count":15,"complexity_ratio":2538.6,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2176,"base":2},"right_expr":{"type":"numeric_atoms","value":1018,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1832,"base":2},"right_expr":{"type":"numeric_atoms","value":2354,"base":2}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2213,"base":2},"right_expr":{"type":"numeric_atoms","value":5644,"base":2}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3578,"base":2},"right_expr":{"type":"numeric_atoms","value":1954,"base":2}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1114,"base":2},"right_expr":{"type":"numeric_atoms","value":5866,"base":2}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1450,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1106,"base":2},"right_expr":{"type":"numeric_atoms","value":1204,"base":2}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4463,"base":2},"right_expr":{"type":"numeric_atoms","value":1410,"base":2}}}}},"used_operators":["ddLRYrp01A","zR4jO40bMj","nCS4ZIUYfx","2DDjHMKMc0","7t3wd0Fuz7","3Oe9XWJUTD","XIIwhv8d0m","6Ko8hGgeMq","YbUVn0Rbpy","Y7wcNGrDQJ","9cloC0Ngie","8WDwsbhb0R","TpPTUOHfaN","UMwdvZNt44","EWw2JM7wp4"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","14qkJME0vr","eLAdDNolq6","AHs5Up7iyr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"≮⫘↔10000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2176","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=1018, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2176","layer":3},{"info":"number node, value=1832","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=2354, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2176, right_input=113, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2063","layer":2},{"info":"number node, value=2213","layer":4},{"info":"number node, value=5644","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=5644, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3578","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=1954, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9182","layer":2},{"info":"compute binary expreesion, left_input=-2063, right_input=9182, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=73456","layer":1},{"info":"number node, value=1114","layer":4},{"info":"number node, value=5866","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=5866, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1114","layer":3},{"info":"number node, value=1450","layer":4},{"info":"compute unary expreesion, input=1450, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-4429","layer":3},{"info":"compute binary expreesion, left_input=1114, right_input=-4429, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6778","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1204, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=4463","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=4463, right_input=1410, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=12194","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12194, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6778, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=73456, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=16","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100010000000⋝⋈⪟≮⫘↔1111111010⨳⩥⨓≮⫘↔11100101000⋥⋵⩄≮⫘↔100100110010)⪶≀⋏(≮⫘↔100010100101⫌⩉⩟≮⫘↔1011000001100)⊝⪿⪼≮⫘↔110111111010⫒⫫≮⫘↔11110100010)∊∟⩊((≮⫘↔10001011010⊕∕≮⫘↔1011011101010⩵∡(∂⩏⊆≮⫘↔10110101010))⋛(≮⫘↔10001010010⇡⇂≮⫘↔10010110100+⇶⊼(≮⫘↔1000101101111⪉⨛≮⫘↔10110000010)))=≮⫘↔10000","reverse_text":"≮⫘↔10000=((≮⫘↔100010000000⋝⋈⪟≮⫘↔1111111010⨳⩥⨓≮⫘↔11100101000⋥⋵⩄≮⫘↔100100110010)⪶≀⋏(≮⫘↔100010100101⫌⩉⩟≮⫘↔1011000001100)⊝⪿⪼≮⫘↔110111111010⫒⫫≮⫘↔11110100010)∊∟⩊((≮⫘↔10001011010⊕∕≮⫘↔1011011101010⩵∡(∂⩏⊆≮⫘↔10110101010))⋛(≮⫘↔10001010010⇡⇂≮⫘↔10010110100+⇶⊼(≮⫘↔1000101101111⪉⨛≮⫘↔10110000010)))","cot":[{"info":"≮⫘↔100010000000⋝⋈⪟≮⫘↔1111111010=≮⫘↔100010000000","layer":3},{"info":"≮⫘↔11100101000⋥⋵⩄≮⫘↔100100110010=≮⫘↔1110001","layer":3},{"info":"≮⫘↔100010000000⨳⩥⨓≮⫘↔1110001=≮⫘↔-100000001111","layer":2},{"info":"≮⫘↔100010100101⫌⩉⩟≮⫘↔1011000001100=≮⫘↔-110010","layer":3},{"info":"≮⫘↔110111111010⫒⫫≮⫘↔11110100010=NaN","layer":3},{"info":"≮⫘↔-110010⊝⪿⪼NaN=≮⫘↔10001111011110","layer":2},{"info":"≮⫘↔-100000001111⪶≀⋏≮⫘↔10001111011110=≮⫘↔10001111011110000","layer":1},{"info":"≮⫘↔10001011010⊕∕≮⫘↔1011011101010=≮⫘↔10001011010","layer":3},{"info":"∂⩏⊆≮⫘↔10110101010=≮⫘↔-1000101001101","layer":3},{"info":"≮⫘↔10001011010⩵∡≮⫘↔-1000101001101=≮⫘↔-1101001111010","layer":2},{"info":"≮⫘↔10001010010⇡⇂≮⫘↔10010110100=NaN","layer":3},{"info":"≮⫘↔1000101101111⪉⨛≮⫘↔10110000010=≮⫘↔10111110100010","layer":3},{"info":"NaN+⇶⊼≮⫘↔10111110100010=NaN","layer":2},{"info":"≮⫘↔-1101001111010⋛NaN=NaN","layer":1},{"info":"≮⫘↔10001111011110000∊∟⩊NaN=≮⫘↔10000","layer":0}]}
{"id":671,"expression_no_base_symbol":"⊄⩳↩(∂⩏⊆((⪛⨧$2150$)⊿∆))","expression":"⊄⩳↩(∂⩏⊆((⪛⨧≮⫘↔100001100110)⊿∆))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14,"operation_count":4,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2150,"base":2}}}}},"used_operators":["8w2t5hMYqp","8WDwsbhb0R","fv3ZujxkQL","6NJAcO2OWT"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","NTOWxs364D","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"≮⫘↔-1000110010110101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2150","layer":4},{"info":"compute unary expreesion, input=2150, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5701","layer":3},{"info":"compute unary expreesion, input=5701, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-11523","layer":2},{"info":"compute unary expreesion, input=-11523, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=12007","layer":1},{"info":"compute unary expreesion, input=12007, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-36021","layer":0}],"base":2,"result_base":2,"text":"⊄⩳↩(∂⩏⊆((⪛⨧≮⫘↔100001100110)⊿∆))=≮⫘↔-1000110010110101","reverse_text":"≮⫘↔-1000110010110101=⊄⩳↩(∂⩏⊆((⪛⨧≮⫘↔100001100110)⊿∆))","cot":[{"info":"⪛⨧≮⫘↔100001100110=≮⫘↔1011001000101","layer":3},{"info":"≮⫘↔1011001000101⊿∆=≮⫘↔-10110100000011","layer":2},{"info":"∂⩏⊆≮⫘↔-10110100000011=≮⫘↔10111011100111","layer":1},{"info":"⊄⩳↩≮⫘↔10111011100111=≮⫘↔-1000110010110101","layer":0}]}
{"id":672,"expression_no_base_symbol":"(⇙⪊(≱⇩⩕$2352$))⪃⊛⇣(($3109$∟)⇪⋭)⩵∡((⨈⪑$1422$)⊋≦⊧$5044$⇴∐$4035$)⨻⩈⩔($1063$≴⪞⇿$1115$)≎⪠($2144$⪥$1265$)","expression":"(⇙⪊(≱⇩⩕≮⫘↔100100110000))⪃⊛⇣((≮⫘↔110000100101∟)⇪⋭)⩵∡((⨈⪑≮⫘↔10110001110)⊋≦⊧≮⫘↔1001110110100⇴∐≮⫘↔111111000011)⨻⩈⩔(≮⫘↔10000100111≴⪞⇿≮⫘↔10001011011)≎⪠(≮⫘↔100001100000⪥≮⫘↔10011110001)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20857,"operation_count":13,"complexity_ratio":1604.3846153846155,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2352,"base":2}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":3109,"base":2}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1422,"base":2}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5044,"base":2},"right_expr":{"type":"numeric_atoms","value":4035,"base":2}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":1115,"base":2}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2144,"base":2},"right_expr":{"type":"numeric_atoms","value":1265,"base":2}}}}},"used_operators":["Y7wcNGrDQJ","rrgAzCduG9","pB6Fcnrjim","3DZMoQKiUl","Z8Yg6dlDSp","hTbEZDJLEm","nEsXyWgiOK","oRDoc9rAEX","mp94q5OcYM","HnzytWxmAO","aNhz54LH3e","lvlrscuwVU","QbnwKVWMIQ"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2352","layer":4},{"info":"compute unary expreesion, input=2352, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=3109","layer":4},{"info":"compute unary expreesion, input=3109, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=5044","layer":4},{"info":"number node, value=4035","layer":4},{"info":"compute binary expreesion, left_input=5044, right_input=4035, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1115, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1248434","layer":3},{"info":"number node, value=2144","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=1265, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13228","layer":3},{"info":"compute binary expreesion, left_input=1248434, right_input=13228, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇙⪊(≱⇩⩕≮⫘↔100100110000))⪃⊛⇣((≮⫘↔110000100101∟)⇪⋭)⩵∡((⨈⪑≮⫘↔10110001110)⊋≦⊧≮⫘↔1001110110100⇴∐≮⫘↔111111000011)⨻⩈⩔(≮⫘↔10000100111≴⪞⇿≮⫘↔10001011011)≎⪠(≮⫘↔100001100000⪥≮⫘↔10011110001)=NaN","reverse_text":"NaN=(⇙⪊(≱⇩⩕≮⫘↔100100110000))⪃⊛⇣((≮⫘↔110000100101∟)⇪⋭)⩵∡((⨈⪑≮⫘↔10110001110)⊋≦⊧≮⫘↔1001110110100⇴∐≮⫘↔111111000011)⨻⩈⩔(≮⫘↔10000100111≴⪞⇿≮⫘↔10001011011)≎⪠(≮⫘↔100001100000⪥≮⫘↔10011110001)","cot":[{"info":"≱⇩⩕≮⫘↔100100110000=≮⫘↔1110001","layer":3},{"info":"⇙⪊≮⫘↔1110001=≮⫘↔0","layer":2},{"info":"≮⫘↔110000100101∟=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1110001⇪⋭=NaN","layer":2},{"info":"≮⫘↔0⪃⊛⇣NaN=≮⫘↔10011010010","layer":1},{"info":"⨈⪑≮⫘↔10110001110=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔1001110110100⇴∐≮⫘↔111111000011=NaN","layer":3},{"info":"≮⫘↔1101100100⊋≦⊧NaN=NaN","layer":2},{"info":"≮⫘↔10000100111≴⪞⇿≮⫘↔10001011011=≮⫘↔100110000110010110010","layer":3},{"info":"≮⫘↔100001100000⪥≮⫘↔10011110001=≮⫘↔11001110101100","layer":3},{"info":"≮⫘↔100110000110010110010≎⪠≮⫘↔11001110101100=≮⫘↔100110001100110","layer":2},{"info":"NaN⨻⩈⩔≮⫘↔100110001100110=NaN","layer":1},{"info":"≮⫘↔10011010010⩵∡NaN=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"≯($4944$≀⫉$6132$≎⊠⪸(⨵≀≌$1320$))⩦($2026$↳≱$5991$⪄$6186$⪭$1676$)","expression":"≯(≮⫘↔1001101010000≀⫉≮⫘↔1011111110100≎⊠⪸(⨵≀≌≮⫘↔10100101000))⩦(≮⫘↔11111101010↳≱≮⫘↔1011101100111⪄≮⫘↔1100000101010⪭≮⫘↔11010001100)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":316,"operation_count":8,"complexity_ratio":39.5,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4944,"base":2},"right_expr":{"type":"numeric_atoms","value":6132,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1320,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2026,"base":2},"right_expr":{"type":"numeric_atoms","value":5991,"base":2}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6186,"base":2},"right_expr":{"type":"numeric_atoms","value":1676,"base":2}}}}},"used_operators":["keWfFq85dY","0kmYd0q39Y","bJkvcejdHO","oZj3VtZNQx","srAu1WTS94","SUmda5xLS4","JwTKLfZU96","j9kHMeSvPp"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","COABgblf1C","xUOZtlo3hN"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4944","layer":4},{"info":"number node, value=6132","layer":4},{"info":"compute binary expreesion, left_input=4944, right_input=6132, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3960","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-3960, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=2026","layer":4},{"info":"number node, value=5991","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=5991, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=6186","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=6186, right_input=1676, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3891","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=3891, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":2,"result_base":2,"text":"≯(≮⫘↔1001101010000≀⫉≮⫘↔1011111110100≎⊠⪸(⨵≀≌≮⫘↔10100101000))⩦(≮⫘↔11111101010↳≱≮⫘↔1011101100111⪄≮⫘↔1100000101010⪭≮⫘↔11010001100)=≮⫘↔0","reverse_text":"≮⫘↔0=≯(≮⫘↔1001101010000≀⫉≮⫘↔1011111110100≎⊠⪸(⨵≀≌≮⫘↔10100101000))⩦(≮⫘↔11111101010↳≱≮⫘↔1011101100111⪄≮⫘↔1100000101010⪭≮⫘↔11010001100)","cot":[{"info":"≮⫘↔1001101010000≀⫉≮⫘↔1011111110100=≮⫘↔101100000110","layer":3},{"info":"⨵≀≌≮⫘↔10100101000=≮⫘↔-111101111000","layer":3},{"info":"≮⫘↔101100000110≎⊠⪸≮⫘↔-111101111000=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11111101010↳≱≮⫘↔1011101100111=≮⫘↔0","layer":3},{"info":"≮⫘↔1100000101010⪭≮⫘↔11010001100=≮⫘↔101","layer":3},{"info":"≮⫘↔0⪄≮⫘↔101=≮⫘↔111100110011","layer":2},{"info":"≮⫘↔1000011⩦≮⫘↔111100110011=≮⫘↔10000110","layer":1},{"info":"≯≮⫘↔10000110=≮⫘↔0","layer":0}]}
{"id":674,"expression_no_base_symbol":"(≦∁(⨮↦↱$5831$)⨿($5149$⩅⪻⪻))⪛(⩰(⊊≼∋(≻⋜$3821$)))","expression":"(≦∁(⨮↦↱≮⫘↔1011011000111)⨿(≮⫘↔1010000011101⩅⪻⪻))⪛(⩰(⊊≼∋(≻⋜≮⫘↔111011101101)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":256605519,"operation_count":8,"complexity_ratio":32075689.875,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":5831,"base":2}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":5149,"base":2}}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3821,"base":2}}}}},"used_operators":["uFcxV4UQCh","9ICcGScMcE","abYXlopdE0","sYcpBQ0cFf","kHoXpA7yos","WkeUrDK8WX","FWz7pXsQhA","3tj9sqzovi"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","B5M0gjZbta","jCPkEVoL5K","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5831","layer":4},{"info":"compute unary expreesion, input=5831, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-85526799","layer":3},{"info":"number node, value=5149","layer":4},{"info":"compute unary expreesion, input=5149, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-761477","layer":3},{"info":"compute binary expreesion, left_input=-85526799, right_input=-761477, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1124","layer":1},{"info":"number node, value=3821","layer":4},{"info":"compute unary expreesion, input=3821, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1124, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≦∁(⨮↦↱≮⫘↔1011011000111)⨿(≮⫘↔1010000011101⩅⪻⪻))⪛(⩰(⊊≼∋(≻⋜≮⫘↔111011101101)))=NaN","reverse_text":"NaN=(≦∁(⨮↦↱≮⫘↔1011011000111)⨿(≮⫘↔1010000011101⩅⪻⪻))⪛(⩰(⊊≼∋(≻⋜≮⫘↔111011101101)))","cot":[{"info":"⨮↦↱≮⫘↔1011011000111=≮⫘↔-101000110010000100100001111","layer":3},{"info":"≮⫘↔1010000011101⩅⪻⪻=≮⫘↔-10111001111010000101","layer":3},{"info":"≮⫘↔-101000110010000100100001111⨿≮⫘↔-10111001111010000101=≮⫘↔1000011","layer":2},{"info":"≦∁≮⫘↔1000011=≮⫘↔-10001100100","layer":1},{"info":"≻⋜≮⫘↔111011101101=NaN","layer":3},{"info":"⊊≼∋NaN=NaN","layer":2},{"info":"⩰NaN=NaN","layer":1},{"info":"≮⫘↔-10001100100⪛NaN=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"⇖⫷⫕($1458$⩍⋽⫝̸$4566$⪒(⊗$6829$))⊬⨰($3919$⨚⇆$7006$⨎(↥$3981$))","expression":"⇖⫷⫕(≮⫘↔10110110010⩍⋽⫝̸≮⫘↔1000111010110⪒(⊗≮⫘↔1101010101101))⊬⨰(≮⫘↔111101001111⨚⇆≮⫘↔1101101011110⨎(↥≮⫘↔111110001101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28465,"operation_count":8,"complexity_ratio":3558.125,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1458,"base":2},"right_expr":{"type":"numeric_atoms","value":4566,"base":2}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":6829,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3919,"base":2},"right_expr":{"type":"numeric_atoms","value":7006,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3981,"base":2}}}}},"used_operators":["UHmRx3INFg","s3Fd5m9Dh2","f6k1SAg4EE","BiWNJpBvwn","RhiyfpczSx","rJVOvQCfKK","lwHaAYXP2r","A8NUZmVepG"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","k8jYdgA6NY"],"result":"≮⫘↔101100000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1458","layer":4},{"info":"number node, value=4566","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=4566, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3620","layer":3},{"info":"number node, value=6829","layer":4},{"info":"compute unary expreesion, input=6829, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-13658","layer":3},{"info":"compute binary expreesion, left_input=3620, right_input=-13658, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=10038","layer":2},{"info":"number node, value=3919","layer":4},{"info":"number node, value=7006","layer":4},{"info":"compute binary expreesion, left_input=3919, right_input=7006, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3981","layer":4},{"info":"compute unary expreesion, input=3981, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=10038, right_input=3, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8994","layer":1},{"info":"compute unary expreesion, input=8994, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":2,"result_base":2,"text":"⇖⫷⫕(≮⫘↔10110110010⩍⋽⫝̸≮⫘↔1000111010110⪒(⊗≮⫘↔1101010101101))⊬⨰(≮⫘↔111101001111⨚⇆≮⫘↔1101101011110⨎(↥≮⫘↔111110001101))=≮⫘↔101100000110","reverse_text":"≮⫘↔101100000110=⇖⫷⫕(≮⫘↔10110110010⩍⋽⫝̸≮⫘↔1000111010110⪒(⊗≮⫘↔1101010101101))⊬⨰(≮⫘↔111101001111⨚⇆≮⫘↔1101101011110⨎(↥≮⫘↔111110001101))","cot":[{"info":"≮⫘↔10110110010⩍⋽⫝̸≮⫘↔1000111010110=≮⫘↔111000100100","layer":3},{"info":"⊗≮⫘↔1101010101101=≮⫘↔-11010101011010","layer":3},{"info":"≮⫘↔111000100100⪒≮⫘↔-11010101011010=≮⫘↔10011100110110","layer":2},{"info":"≮⫘↔111101001111⨚⇆≮⫘↔1101101011110=NaN","layer":3},{"info":"↥≮⫘↔111110001101=≮⫘↔11","layer":3},{"info":"NaN⨎≮⫘↔11=≮⫘↔11","layer":2},{"info":"≮⫘↔10011100110110⊬⨰≮⫘↔11=≮⫘↔10001100100010","layer":1},{"info":"⇖⫷⫕≮⫘↔10001100100010=≮⫘↔101100000110","layer":0}]}
{"id":676,"expression_no_base_symbol":"(+⊝⨔(∷≠$5395$)+⪬∐($6297$⪍↜⋙$6518$))⪨⊡($4610$⊉↱≁$6849$⇽⩪)⨐(⇜⊴$2660$)⋕⪉⪜($2741$⩣⫁∢$2060$)","expression":"(+⊝⨔(∷≠≮⫘↔1010100010011)+⪬∐(≮⫘↔1100010011001⪍↜⋙≮⫘↔1100101110110))⪨⊡(≮⫘↔1001000000010⊉↱≁≮⫘↔1101011000001⇽⩪)⨐(⇜⊴≮⫘↔101001100100)⋕⪉⪜(≮⫘↔101010110101⩣⫁∢≮⫘↔100000001100)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":232,"operation_count":11,"complexity_ratio":21.09090909090909,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":5395,"base":2}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6297,"base":2},"right_expr":{"type":"numeric_atoms","value":6518,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4610,"base":2},"right_expr":{"type":"numeric_atoms","value":6849,"base":2}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2660,"base":2}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2741,"base":2},"right_expr":{"type":"numeric_atoms","value":2060,"base":2}}}}},"used_operators":["kuIXHzHcAH","DhbWaqg5eL","2GS7woTJqF","QiR2Oyf5Xj","L05ObWFQCd","Noe24qw2ks","FonBHBYJbU","w2P8NbNXyL","z6LnFrNh4i","XwDhCwWbUn","JDUIKTTSIa"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","g55IO6H4Gj","D4vGDi5EA2","7j4O788W3g","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"≮⫘↔10000011010100101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5395","layer":4},{"info":"compute unary expreesion, input=5395, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=5395","layer":3},{"info":"number node, value=6297","layer":4},{"info":"number node, value=6518","layer":4},{"info":"compute binary expreesion, left_input=6297, right_input=6518, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-45304","layer":3},{"info":"compute binary expreesion, left_input=5395, right_input=-45304, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-16185","layer":2},{"info":"compute unary expreesion, input=-16185, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"number node, value=4610","layer":4},{"info":"number node, value=6849","layer":4},{"info":"compute binary expreesion, left_input=4610, right_input=6849, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=3892","layer":3},{"info":"compute unary expreesion, input=3892, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=8306","layer":2},{"info":"number node, value=2660","layer":4},{"info":"compute unary expreesion, input=2660, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-614046","layer":3},{"info":"number node, value=2741","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=2060, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5321","layer":3},{"info":"compute binary expreesion, left_input=-614046, right_input=-5321, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=8306, right_input=204, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-16612","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-16612, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=67237","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔(∷≠≮⫘↔1010100010011)+⪬∐(≮⫘↔1100010011001⪍↜⋙≮⫘↔1100101110110))⪨⊡(≮⫘↔1001000000010⊉↱≁≮⫘↔1101011000001⇽⩪)⨐(⇜⊴≮⫘↔101001100100)⋕⪉⪜(≮⫘↔101010110101⩣⫁∢≮⫘↔100000001100)=≮⫘↔10000011010100101","reverse_text":"≮⫘↔10000011010100101=(+⊝⨔(∷≠≮⫘↔1010100010011)+⪬∐(≮⫘↔1100010011001⪍↜⋙≮⫘↔1100101110110))⪨⊡(≮⫘↔1001000000010⊉↱≁≮⫘↔1101011000001⇽⩪)⨐(⇜⊴≮⫘↔101001100100)⋕⪉⪜(≮⫘↔101010110101⩣⫁∢≮⫘↔100000001100)","cot":[{"info":"∷≠≮⫘↔1010100010011=≮⫘↔1010100010011","layer":3},{"info":"≮⫘↔1100010011001⪍↜⋙≮⫘↔1100101110110=≮⫘↔-1011000011111000","layer":3},{"info":"≮⫘↔1010100010011+⪬∐≮⫘↔-1011000011111000=≮⫘↔-11111100111001","layer":2},{"info":"+⊝⨔≮⫘↔-11111100111001=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔1001000000010⊉↱≁≮⫘↔1101011000001=≮⫘↔111100110100","layer":3},{"info":"≮⫘↔111100110100⇽⩪=≮⫘↔10000001110010","layer":2},{"info":"⇜⊴≮⫘↔101001100100=≮⫘↔-10010101111010011110","layer":3},{"info":"≮⫘↔101010110101⩣⫁∢≮⫘↔100000001100=≮⫘↔-1010011001001","layer":3},{"info":"≮⫘↔-10010101111010011110⋕⪉⪜≮⫘↔-1010011001001=≮⫘↔11001100","layer":2},{"info":"≮⫘↔10000001110010⨐≮⫘↔11001100=≮⫘↔-100000011100100","layer":1},{"info":"≮⫘↔10111110010⪨⊡≮⫘↔-100000011100100=≮⫘↔10000011010100101","layer":0}]}
{"id":677,"expression_no_base_symbol":"(($1310$⋣⋖$4149$)⫗⊷⫓(∐⩳⋚$5769$)⇼⇔∾((⨦⪝$1324$)⇐≅))⨓(⇘(⇠(⪓⩚$1108$)))","expression":"((≮⫘↔10100011110⋣⋖≮⫘↔1000000110101)⫗⊷⫓(∐⩳⋚≮⫘↔1011010001001)⇼⇔∾((⨦⪝≮⫘↔10100101100)⇐≅))⨓(⇘(⇠(⪓⩚≮⫘↔10001010100)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5299,"operation_count":10,"complexity_ratio":529.9,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1310,"base":2},"right_expr":{"type":"numeric_atoms","value":4149,"base":2}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":5769,"base":2}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1324,"base":2}}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1108,"base":2}}}}},"used_operators":["3ViojmjbAp","tifHPKVTfV","zashukvMKz","J0M6qkBnIM","SL6IHkK8vl","wEfv7U73WA","SUjycxNXIR","MGuIdZPyUC","18saOjeKKm","u0R0Locfp2"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1310","layer":4},{"info":"number node, value=4149","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=4149, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1310","layer":3},{"info":"number node, value=5769","layer":4},{"info":"compute unary expreesion, input=5769, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=852736","layer":3},{"info":"compute binary expreesion, left_input=1310, right_input=852736, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1324","layer":4},{"info":"compute unary expreesion, input=1324, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute unary expreesion, input=-1884, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=1411","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=1411, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1545","layer":1},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute unary expreesion, input=426, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-184","layer":2},{"info":"compute unary expreesion, input=-184, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1150385","layer":1},{"info":"compute binary expreesion, left_input=1545, right_input=-1150385, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100011110⋣⋖≮⫘↔1000000110101)⫗⊷⫓(∐⩳⋚≮⫘↔1011010001001)⇼⇔∾((⨦⪝≮⫘↔10100101100)⇐≅))⨓(⇘(⇠(⪓⩚≮⫘↔10001010100)))=NaN","reverse_text":"NaN=((≮⫘↔10100011110⋣⋖≮⫘↔1000000110101)⫗⊷⫓(∐⩳⋚≮⫘↔1011010001001)⇼⇔∾((⨦⪝≮⫘↔10100101100)⇐≅))⨓(⇘(⇠(⪓⩚≮⫘↔10001010100)))","cot":[{"info":"≮⫘↔10100011110⋣⋖≮⫘↔1000000110101=≮⫘↔10100011110","layer":3},{"info":"∐⩳⋚≮⫘↔1011010001001=≮⫘↔11010000001100000000","layer":3},{"info":"≮⫘↔10100011110⫗⊷⫓≮⫘↔11010000001100000000=≮⫘↔-10000110","layer":2},{"info":"⨦⪝≮⫘↔10100101100=≮⫘↔-11101011100","layer":3},{"info":"≮⫘↔-11101011100⇐≅=≮⫘↔10110000011","layer":2},{"info":"≮⫘↔-10000110⇼⇔∾≮⫘↔10110000011=≮⫘↔11000001001","layer":1},{"info":"⪓⩚≮⫘↔10001010100=≮⫘↔110101010","layer":3},{"info":"⇠≮⫘↔110101010=≮⫘↔-10111000","layer":2},{"info":"⇘≮⫘↔-10111000=≮⫘↔-100011000110110110001","layer":1},{"info":"≮⫘↔11000001001⨓≮⫘↔-100011000110110110001=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"(($1471$⋻⩜⩜$2481$)⊲⩕⊾($7896$≧⫂∧$1694$))∥⊢⊲(≀↧⇸($1128$≎⊠⪸$3856$))∪⫐$7449$≁↽≥$1083$⇻⋧≁($5241$⩨$2253$)⪕($1324$⫁$3460$)⨿($1016$⩹$1289$)","expression":"((≮⫘↔10110111111⋻⩜⩜≮⫘↔100110110001)⊲⩕⊾(≮⫘↔1111011011000≧⫂∧≮⫘↔11010011110))∥⊢⊲(≀↧⇸(≮⫘↔10001101000≎⊠⪸≮⫘↔111100010000))∪⫐≮⫘↔1110100011001≁↽≥≮⫘↔10000111011⇻⋧≁(≮⫘↔1010001111001⩨≮⫘↔100011001101)⪕(≮⫘↔10100101100⫁≮⫘↔110110000100)⨿(≮⫘↔1111111000⩹≮⫘↔10100001001)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":139957,"operation_count":14,"complexity_ratio":9996.92857142857,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1471,"base":2},"right_expr":{"type":"numeric_atoms","value":2481,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7896,"base":2},"right_expr":{"type":"numeric_atoms","value":1694,"base":2}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1128,"base":2},"right_expr":{"type":"numeric_atoms","value":3856,"base":2}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":7449,"base":2},"right_expr":{"type":"numeric_atoms","value":1083,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5241,"base":2},"right_expr":{"type":"numeric_atoms","value":2253,"base":2}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1324,"base":2},"right_expr":{"type":"numeric_atoms","value":3460,"base":2}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1016,"base":2},"right_expr":{"type":"numeric_atoms","value":1289,"base":2}}}}},"used_operators":["7YooWSwCyH","v1UQAVDJRr","DmTXOeWf9t","oDCm7WA9JY","Ph9nP6C5qx","ljTHtUsqzn","bJkvcejdHO","umQnsF7QlU","jCPkEVoL5K","ncHt1X6cMc","2DlMacCsIx","abYXlopdE0","0ajvFaJAv0","2Wsdkap16l"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","EBcxylXtPf","rGHVDoGpnC","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","oWn0xqSxBt","3Oe9XWJUTD","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"≮⫘↔10001110011010111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1471","layer":4},{"info":"number node, value=2481","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=2481, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2942","layer":3},{"info":"number node, value=7896","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=7896, right_input=1694, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1221","layer":3},{"info":"compute binary expreesion, left_input=2942, right_input=1221, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-55912","layer":2},{"info":"number node, value=1128","layer":4},{"info":"number node, value=3856","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=3856, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=291679","layer":3},{"info":"compute unary expreesion, input=291679, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=583358","layer":2},{"info":"compute binary expreesion, left_input=-55912, right_input=583358, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=583358","layer":1},{"info":"number node, value=7449","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=7449, right_input=1083, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=104515","layer":3},{"info":"number node, value=5241","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=5241, right_input=2253, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=104515, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=1324","layer":4},{"info":"number node, value=3460","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=3460, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1289, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1287","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1287, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-319, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=583358, right_input=-55, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=583358","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110111111⋻⩜⩜≮⫘↔100110110001)⊲⩕⊾(≮⫘↔1111011011000≧⫂∧≮⫘↔11010011110))∥⊢⊲(≀↧⇸(≮⫘↔10001101000≎⊠⪸≮⫘↔111100010000))∪⫐≮⫘↔1110100011001≁↽≥≮⫘↔10000111011⇻⋧≁(≮⫘↔1010001111001⩨≮⫘↔100011001101)⪕(≮⫘↔10100101100⫁≮⫘↔110110000100)⨿(≮⫘↔1111111000⩹≮⫘↔10100001001)=≮⫘↔10001110011010111110","reverse_text":"≮⫘↔10001110011010111110=((≮⫘↔10110111111⋻⩜⩜≮⫘↔100110110001)⊲⩕⊾(≮⫘↔1111011011000≧⫂∧≮⫘↔11010011110))∥⊢⊲(≀↧⇸(≮⫘↔10001101000≎⊠⪸≮⫘↔111100010000))∪⫐≮⫘↔1110100011001≁↽≥≮⫘↔10000111011⇻⋧≁(≮⫘↔1010001111001⩨≮⫘↔100011001101)⪕(≮⫘↔10100101100⫁≮⫘↔110110000100)⨿(≮⫘↔1111111000⩹≮⫘↔10100001001)","cot":[{"info":"≮⫘↔10110111111⋻⩜⩜≮⫘↔100110110001=≮⫘↔101101111110","layer":3},{"info":"≮⫘↔1111011011000≧⫂∧≮⫘↔11010011110=≮⫘↔10011000101","layer":3},{"info":"≮⫘↔101101111110⊲⩕⊾≮⫘↔10011000101=≮⫘↔-1101101001101000","layer":2},{"info":"≮⫘↔10001101000≎⊠⪸≮⫘↔111100010000=≮⫘↔1000111001101011111","layer":3},{"info":"≀↧⇸≮⫘↔1000111001101011111=≮⫘↔10001110011010111110","layer":2},{"info":"≮⫘↔-1101101001101000∥⊢⊲≮⫘↔10001110011010111110=≮⫘↔10001110011010111110","layer":1},{"info":"≮⫘↔1110100011001≁↽≥≮⫘↔10000111011=≮⫘↔11001100001000011","layer":3},{"info":"≮⫘↔1010001111001⩨≮⫘↔100011001101=≮⫘↔0","layer":3},{"info":"≮⫘↔11001100001000011⇻⋧≁≮⫘↔0=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔10100101100⫁≮⫘↔110110000100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1111111000⩹≮⫘↔10100001001=≮⫘↔10100000111","layer":3},{"info":"≮⫘↔10100000⨿≮⫘↔10100000111=≮⫘↔-100111111","layer":2},{"info":"≮⫘↔-110111111⪕≮⫘↔-100111111=≮⫘↔-110111","layer":1},{"info":"≮⫘↔10001110011010111110∪⫐≮⫘↔-110111=≮⫘↔10001110011010111110","layer":0}]}
{"id":679,"expression_no_base_symbol":"(($1913$⩘$1234$)⊱⇼⊻($4807$⪊≅)⋖∅⋲)∝((⊊≼∋($1752$⫰⋱$1111$))⇚⪠)","expression":"((≮⫘↔11101111001⩘≮⫘↔10011010010)⊱⇼⊻(≮⫘↔1001011000111⪊≅)⋖∅⋲)∝((⊊≼∋(≮⫘↔11011011000⫰⋱≮⫘↔10001010111))⇚⪠)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":312,"operation_count":8,"complexity_ratio":39.0,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1913,"base":2},"right_expr":{"type":"numeric_atoms","value":1234,"base":2}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":4807,"base":2}}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1752,"base":2},"right_expr":{"type":"numeric_atoms","value":1111,"base":2}}}}},"used_operators":["cTDWOvIxvz","L95AwlJzhO","FyVja0WsTP","cHh1gJQ2o6","bjFbhXSADs","Loh9y4A90B","FWz7pXsQhA","6o9Blt3TJ6"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","B5M0gjZbta","jCPkEVoL5K","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1913","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1234, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4807","layer":4},{"info":"compute unary expreesion, input=4807, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=3442","layer":2},{"info":"compute unary expreesion, input=3442, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"number node, value=1752","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=1111, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1719","layer":3},{"info":"compute unary expreesion, input=-1719, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-384231, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11101111001⩘≮⫘↔10011010010)⊱⇼⊻(≮⫘↔1001011000111⪊≅)⋖∅⋲)∝((⊊≼∋(≮⫘↔11011011000⫰⋱≮⫘↔10001010111))⇚⪠)=NaN","reverse_text":"NaN=((≮⫘↔11101111001⩘≮⫘↔10011010010)⊱⇼⊻(≮⫘↔1001011000111⪊≅)⋖∅⋲)∝((⊊≼∋(≮⫘↔11011011000⫰⋱≮⫘↔10001010111))⇚⪠)","cot":[{"info":"≮⫘↔11101111001⩘≮⫘↔10011010010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1001011000111⪊≅=≮⫘↔0","layer":3},{"info":"≮⫘↔10100000⊱⇼⊻≮⫘↔0=≮⫘↔110101110010","layer":2},{"info":"≮⫘↔110101110010⋖∅⋲=≮⫘↔-1011101110011100111","layer":1},{"info":"≮⫘↔11011011000⫰⋱≮⫘↔10001010111=≮⫘↔-11010110111","layer":3},{"info":"⊊≼∋≮⫘↔-11010110111=NaN","layer":2},{"info":"NaN⇚⪠=NaN","layer":1},{"info":"≮⫘↔-1011101110011100111∝NaN=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"(($5449$⫢⨠$3632$)⪪($2967$⊘)⨐⩸⫘$1902$⊝⪿⪼$3368$⋳⪒($6681$⪨≂$1480$))⪛⫼(($1107$↱$6239$)⪮%⊝(⨈⪑$2365$)↺($1235$⋳⪒$1033$)⩼⇪↪($1111$⨭⪣$4558$))","expression":"((≮⫘↔1010101001001⫢⨠≮⫘↔111000110000)⪪(≮⫘↔101110010111⊘)⨐⩸⫘≮⫘↔11101101110⊝⪿⪼≮⫘↔110100101000⋳⪒(≮⫘↔1101000011001⪨≂≮⫘↔10111001000))⪛⫼((≮⫘↔10001010011↱≮⫘↔1100001011111)⪮%⊝(⨈⪑≮⫘↔100100111101)↺(≮⫘↔10011010011⋳⪒≮⫘↔10000001001)⩼⇪↪(≮⫘↔10001010111⨭⪣≮⫘↔1000111001110))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":974,"operation_count":15,"complexity_ratio":64.93333333333334,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5449,"base":2},"right_expr":{"type":"numeric_atoms","value":3632,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2967,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1902,"base":2},"right_expr":{"type":"numeric_atoms","value":3368,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6681,"base":2},"right_expr":{"type":"numeric_atoms","value":1480,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1107,"base":2},"right_expr":{"type":"numeric_atoms","value":6239,"base":2}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":2365,"base":2}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1235,"base":2},"right_expr":{"type":"numeric_atoms","value":1033,"base":2}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1111,"base":2},"right_expr":{"type":"numeric_atoms","value":4558,"base":2}}}}},"used_operators":["hyuBjUqXlG","fu6greOZ01","xD69zh8xqp","xlXykHWxX1","gu96TGCTMs","12rbrZMWeM","3Oe9XWJUTD","sdazOOVcIp","7j4O788W3g","IWmyXbctLI","SR5kFfdi6N","mp94q5OcYM","ocnLzx9CaJ","kn8WO9XteQ"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","3ViojmjbAp","FU0Cs4j7VP","JclMnS0uGI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"≮⫘↔1111001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5449","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=5449, right_input=3632, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2967","layer":4},{"info":"compute unary expreesion, input=2967, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-20249","layer":2},{"info":"number node, value=1902","layer":4},{"info":"number node, value=3368","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=3368, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=38462","layer":3},{"info":"number node, value=6681","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=6681, right_input=1480, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=10504","layer":3},{"info":"compute binary expreesion, left_input=38462, right_input=10504, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=66133","layer":2},{"info":"compute binary expreesion, left_input=-20249, right_input=66133, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1107","layer":4},{"info":"number node, value=6239","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=6239, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-18195","layer":3},{"info":"number node, value=2365","layer":4},{"info":"compute unary expreesion, input=2365, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-18195, right_input=868, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-36074","layer":2},{"info":"number node, value=1235","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=1033, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1150","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=4558, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-168","layer":3},{"info":"compute binary expreesion, left_input=1150, right_input=-168, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=2693","layer":2},{"info":"compute binary expreesion, left_input=-36074, right_input=2693, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2693","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2693, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010101001001⫢⨠≮⫘↔111000110000)⪪(≮⫘↔101110010111⊘)⨐⩸⫘≮⫘↔11101101110⊝⪿⪼≮⫘↔110100101000⋳⪒(≮⫘↔1101000011001⪨≂≮⫘↔10111001000))⪛⫼((≮⫘↔10001010011↱≮⫘↔1100001011111)⪮%⊝(⨈⪑≮⫘↔100100111101)↺(≮⫘↔10011010011⋳⪒≮⫘↔10000001001)⩼⇪↪(≮⫘↔10001010111⨭⪣≮⫘↔1000111001110))=≮⫘↔1111001000","reverse_text":"≮⫘↔1111001000=((≮⫘↔1010101001001⫢⨠≮⫘↔111000110000)⪪(≮⫘↔101110010111⊘)⨐⩸⫘≮⫘↔11101101110⊝⪿⪼≮⫘↔110100101000⋳⪒(≮⫘↔1101000011001⪨≂≮⫘↔10111001000))⪛⫼((≮⫘↔10001010011↱≮⫘↔1100001011111)⪮%⊝(⨈⪑≮⫘↔100100111101)↺(≮⫘↔10011010011⋳⪒≮⫘↔10000001001)⩼⇪↪(≮⫘↔10001010111⨭⪣≮⫘↔1000111001110))","cot":[{"info":"≮⫘↔1010101001001⫢⨠≮⫘↔111000110000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔101110010111⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔10100000⪪≮⫘↔0=≮⫘↔-100111100011001","layer":2},{"info":"≮⫘↔11101101110⊝⪿⪼≮⫘↔110100101000=≮⫘↔1001011000111110","layer":3},{"info":"≮⫘↔1101000011001⪨≂≮⫘↔10111001000=≮⫘↔10100100001000","layer":3},{"info":"≮⫘↔1001011000111110⋳⪒≮⫘↔10100100001000=≮⫘↔10000001001010101","layer":2},{"info":"≮⫘↔-100111100011001⨐⩸⫘≮⫘↔10000001001010101=NaN","layer":1},{"info":"≮⫘↔10001010011↱≮⫘↔1100001011111=≮⫘↔-100011100010011","layer":3},{"info":"⨈⪑≮⫘↔100100111101=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔-100011100010011⪮%⊝≮⫘↔1101100100=≮⫘↔-1000110011101010","layer":2},{"info":"≮⫘↔10011010011⋳⪒≮⫘↔10000001001=≮⫘↔10001111110","layer":3},{"info":"≮⫘↔10001010111⨭⪣≮⫘↔1000111001110=≮⫘↔-10101000","layer":3},{"info":"≮⫘↔10001111110⩼⇪↪≮⫘↔-10101000=≮⫘↔101010000101","layer":2},{"info":"≮⫘↔-1000110011101010↺≮⫘↔101010000101=≮⫘↔101010000101","layer":1},{"info":"NaN⪛⫼≮⫘↔101010000101=≮⫘↔1111001000","layer":0}]}
{"id":681,"expression_no_base_symbol":"((⊗$1660$)⪒$2395$⊴$5319$)⫥∨⫟(($2228$∟)⪊≅)⫌⩉⩟($1015$⪛⫼$2836$)⫢⨠($1075$-$1131$)⫳≱↱(≻⋜$4988$)≨$1735$⨜⨶$7804$","expression":"((⊗≮⫘↔11001111100)⪒≮⫘↔100101011011⊴≮⫘↔1010011000111)⫥∨⫟((≮⫘↔100010110100∟)⪊≅)⫌⩉⩟(≮⫘↔1111110111⪛⫼≮⫘↔101100010100)⫢⨠(≮⫘↔10000110011-≮⫘↔10001101011)⫳≱↱(≻⋜≮⫘↔1001101111100)≨≮⫘↔11011000111⨜⨶≮⫘↔1111001111100","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":78409,"operation_count":14,"complexity_ratio":5600.642857142857,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1660,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2395,"base":2},"right_expr":{"type":"numeric_atoms","value":5319,"base":2}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2228,"base":2}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1015,"base":2},"right_expr":{"type":"numeric_atoms","value":2836,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":1131,"base":2}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4988,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1735,"base":2},"right_expr":{"type":"numeric_atoms","value":7804,"base":2}}}}},"used_operators":["XIIwhv8d0m","KYD54nUTWz","f6k1SAg4EE","RhiyfpczSx","Nsiff2A1zJ","bjFbhXSADs","hTbEZDJLEm","ZvLB05nZmT","xlXykHWxX1","hyuBjUqXlG","rysDP5nf3Z","0KMCeP1Jsh","3tj9sqzovi","HiPekx5b7W"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","dWAJyo7jo9","14qkJME0vr","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≮⫘↔-110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1660","layer":4},{"info":"compute unary expreesion, input=1660, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3320","layer":3},{"info":"number node, value=2395","layer":4},{"info":"number node, value=5319","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=5319, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3320, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2228","layer":4},{"info":"compute unary expreesion, input=2228, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2836, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1131, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-56","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-56, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=4988","layer":4},{"info":"compute unary expreesion, input=4988, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=1735","layer":4},{"info":"number node, value=7804","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=7804, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-15352","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15352, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":2,"result_base":2,"text":"((⊗≮⫘↔11001111100)⪒≮⫘↔100101011011⊴≮⫘↔1010011000111)⫥∨⫟((≮⫘↔100010110100∟)⪊≅)⫌⩉⩟(≮⫘↔1111110111⪛⫼≮⫘↔101100010100)⫢⨠(≮⫘↔10000110011-≮⫘↔10001101011)⫳≱↱(≻⋜≮⫘↔1001101111100)≨≮⫘↔11011000111⨜⨶≮⫘↔1111001111100=≮⫘↔-110010","reverse_text":"≮⫘↔-110010=((⊗≮⫘↔11001111100)⪒≮⫘↔100101011011⊴≮⫘↔1010011000111)⫥∨⫟((≮⫘↔100010110100∟)⪊≅)⫌⩉⩟(≮⫘↔1111110111⪛⫼≮⫘↔101100010100)⫢⨠(≮⫘↔10000110011-≮⫘↔10001101011)⫳≱↱(≻⋜≮⫘↔1001101111100)≨≮⫘↔11011000111⨜⨶≮⫘↔1111001111100","cot":[{"info":"⊗≮⫘↔11001111100=≮⫘↔-110011111000","layer":3},{"info":"≮⫘↔100101011011⊴≮⫘↔1010011000111=NaN","layer":3},{"info":"≮⫘↔-110011111000⪒NaN=NaN","layer":2},{"info":"≮⫘↔100010110100∟=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1110001⪊≅=≮⫘↔0","layer":2},{"info":"NaN⫥∨⫟≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1111110111⪛⫼≮⫘↔101100010100=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔10000110011-≮⫘↔10001101011=≮⫘↔-111000","layer":3},{"info":"≮⫘↔1111001000⫢⨠≮⫘↔-111000=≮⫘↔10100000","layer":2},{"info":"≻⋜≮⫘↔1001101111100=NaN","layer":3},{"info":"≮⫘↔11011000111⨜⨶≮⫘↔1111001111100=≮⫘↔-11101111111000","layer":3},{"info":"NaN≨≮⫘↔-11101111111000=NaN","layer":2},{"info":"≮⫘↔10100000⫳≱↱NaN=≮⫘↔-11001100","layer":1},{"info":"NaN⫌⩉⩟≮⫘↔-11001100=≮⫘↔-110010","layer":0}]}
{"id":682,"expression_no_base_symbol":"⫛⫱⨽($1091$∛$2123$⪍↜⋙($4957$⫠↝⫳)≬⇓($3003$⇣⩺⋵$1576$)⊱⇼⊻(⨝⨆$2507$))","expression":"⫛⫱⨽(≮⫘↔10001000011∛≮⫘↔100001001011⪍↜⋙(≮⫘↔1001101011101⫠↝⫳)≬⇓(≮⫘↔101110111011⇣⩺⋵≮⫘↔11000101000)⊱⇼⊻(⨝⨆≮⫘↔100111001011))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":949060,"operation_count":8,"complexity_ratio":118632.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1091,"base":2},"right_expr":{"type":"numeric_atoms","value":2123,"base":2}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":4957,"base":2}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3003,"base":2},"right_expr":{"type":"numeric_atoms","value":1576,"base":2}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2507,"base":2}}}}},"used_operators":["DlLNRPXxWL","jWTQ2TZYIH","L05ObWFQCd","w2537kitQq","8n5YIzOsVS","FyVja0WsTP","F4yD0voBRQ","bQ67fsrMVf"],"dependent_operators":["rGHVDoGpnC","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=2123, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=4957","layer":4},{"info":"compute unary expreesion, input=4957, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=159247","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=159247, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-315927","layer":2},{"info":"number node, value=3003","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=3003, right_input=1576, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2507","layer":4},{"info":"compute unary expreesion, input=2507, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2298","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=2298, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=1244","layer":2},{"info":"compute binary expreesion, left_input=-315927, right_input=1244, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫛⫱⨽(≮⫘↔10001000011∛≮⫘↔100001001011⪍↜⋙(≮⫘↔1001101011101⫠↝⫳)≬⇓(≮⫘↔101110111011⇣⩺⋵≮⫘↔11000101000)⊱⇼⊻(⨝⨆≮⫘↔100111001011))=NaN","reverse_text":"NaN=⫛⫱⨽(≮⫘↔10001000011∛≮⫘↔100001001011⪍↜⋙(≮⫘↔1001101011101⫠↝⫳)≬⇓(≮⫘↔101110111011⇣⩺⋵≮⫘↔11000101000)⊱⇼⊻(⨝⨆≮⫘↔100111001011))","cot":[{"info":"≮⫘↔10001000011∛≮⫘↔100001001011=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔1001101011101⫠↝⫳=≮⫘↔100110111000001111","layer":3},{"info":"≮⫘↔-1010011110⪍↜⋙≮⫘↔100110111000001111=≮⫘↔-1001101001000010111","layer":2},{"info":"≮⫘↔101110111011⇣⩺⋵≮⫘↔11000101000=≮⫘↔-100000100","layer":3},{"info":"⨝⨆≮⫘↔100111001011=≮⫘↔100011111010","layer":3},{"info":"≮⫘↔-100000100⊱⇼⊻≮⫘↔100011111010=≮⫘↔10011011100","layer":2},{"info":"≮⫘↔-1001101001000010111≬⇓≮⫘↔10011011100=Inf","layer":1},{"info":"⫛⫱⨽Inf=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"($1094$⪮%⊝$1015$⪄($4850$⫭))⨂≜(($2192$⋩≍≻)+⪬∐$6640$↳∿⪆$3099$)⋭≵(⇵⪽($7079$⨑⩅≇$1816$))⨔⇊(($2240$≧⫂∧$5136$)⋥⋵⩄($5437$⊋≦⊧$1620$))","expression":"(≮⫘↔10001000110⪮%⊝≮⫘↔1111110111⪄(≮⫘↔1001011110010⫭))⨂≜((≮⫘↔100010010000⋩≍≻)+⪬∐≮⫘↔1100111110000↳∿⪆≮⫘↔110000011011)⋭≵(⇵⪽(≮⫘↔1101110100111⨑⩅≇≮⫘↔11100011000))⨔⇊((≮⫘↔100011000000≧⫂∧≮⫘↔1010000010000)⋥⋵⩄(≮⫘↔1010100111101⊋≦⊧≮⫘↔11001010100))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":595042,"operation_count":14,"complexity_ratio":42503.0,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1094,"base":2},"right_expr":{"type":"numeric_atoms","value":1015,"base":2}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":4850,"base":2}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2192,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6640,"base":2},"right_expr":{"type":"numeric_atoms","value":3099,"base":2}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":7079,"base":2},"right_expr":{"type":"numeric_atoms","value":1816,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2240,"base":2},"right_expr":{"type":"numeric_atoms","value":5136,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5437,"base":2},"right_expr":{"type":"numeric_atoms","value":1620,"base":2}}}}},"used_operators":["jBncVCNhdl","k1SHOSEABc","SUmda5xLS4","IWmyXbctLI","t4WUHVGj7f","2GS7woTJqF","WYd1w68Nbz","Cw4SuJJGHO","JclMnS0uGI","ZGCBLdVRRX","h92wMvzauj","7t3wd0Fuz7","Ph9nP6C5qx","oRDoc9rAEX"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","U7g4x0WXJJ","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1015, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2504","layer":3},{"info":"number node, value=4850","layer":4},{"info":"compute unary expreesion, input=4850, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=14791","layer":3},{"info":"compute binary expreesion, left_input=2504, right_input=14791, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-425845","layer":2},{"info":"number node, value=2192","layer":4},{"info":"compute unary expreesion, input=2192, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=6640","layer":4},{"info":"number node, value=3099","layer":4},{"info":"compute binary expreesion, left_input=6640, right_input=3099, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=165","layer":2},{"info":"compute binary expreesion, left_input=-425845, right_input=165, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=7079","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=7079, right_input=1816, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-21237","layer":3},{"info":"compute unary expreesion, input=-21237, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=2240","layer":4},{"info":"number node, value=5136","layer":4},{"info":"compute binary expreesion, left_input=2240, right_input=5136, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4663","layer":3},{"info":"number node, value=5437","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=5437, right_input=1620, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3000","layer":3},{"info":"compute binary expreesion, left_input=4663, right_input=-3000, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=19130","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19130, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=19130","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19130, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001000110⪮%⊝≮⫘↔1111110111⪄(≮⫘↔1001011110010⫭))⨂≜((≮⫘↔100010010000⋩≍≻)+⪬∐≮⫘↔1100111110000↳∿⪆≮⫘↔110000011011)⋭≵(⇵⪽(≮⫘↔1101110100111⨑⩅≇≮⫘↔11100011000))⨔⇊((≮⫘↔100011000000≧⫂∧≮⫘↔1010000010000)⋥⋵⩄(≮⫘↔1010100111101⊋≦⊧≮⫘↔11001010100))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(≮⫘↔10001000110⪮%⊝≮⫘↔1111110111⪄(≮⫘↔1001011110010⫭))⨂≜((≮⫘↔100010010000⋩≍≻)+⪬∐≮⫘↔1100111110000↳∿⪆≮⫘↔110000011011)⋭≵(⇵⪽(≮⫘↔1101110100111⨑⩅≇≮⫘↔11100011000))⨔⇊((≮⫘↔100011000000≧⫂∧≮⫘↔1010000010000)⋥⋵⩄(≮⫘↔1010100111101⊋≦⊧≮⫘↔11001010100))","cot":[{"info":"≮⫘↔10001000110⪮%⊝≮⫘↔1111110111=≮⫘↔100111001000","layer":3},{"info":"≮⫘↔1001011110010⫭=≮⫘↔11100111000111","layer":3},{"info":"≮⫘↔100111001000⪄≮⫘↔11100111000111=≮⫘↔-1100111111101110101","layer":2},{"info":"≮⫘↔100010010000⋩≍≻=≮⫘↔-110111","layer":3},{"info":"≮⫘↔1100111110000↳∿⪆≮⫘↔110000011011=NaN","layer":3},{"info":"≮⫘↔-110111+⪬∐NaN=≮⫘↔10100101","layer":2},{"info":"≮⫘↔-1100111111101110101⨂≜≮⫘↔10100101=NaN","layer":1},{"info":"≮⫘↔1101110100111⨑⩅≇≮⫘↔11100011000=≮⫘↔-101001011110101","layer":3},{"info":"⇵⪽≮⫘↔-101001011110101=NaN","layer":2},{"info":"≮⫘↔100011000000≧⫂∧≮⫘↔1010000010000=≮⫘↔1001000110111","layer":3},{"info":"≮⫘↔1010100111101⊋≦⊧≮⫘↔11001010100=≮⫘↔-101110111000","layer":3},{"info":"≮⫘↔1001000110111⋥⋵⩄≮⫘↔-101110111000=≮⫘↔100101010111010","layer":2},{"info":"NaN⨔⇊≮⫘↔100101010111010=≮⫘↔100101010111010","layer":1},{"info":"NaN⋭≵≮⫘↔100101010111010=≮⫘↔1000011","layer":0}]}
{"id":684,"expression_no_base_symbol":"(⊽($7391$⪒$1390$))⨚(↩$1513$⋳⪒$1683$)⊠≄⫣","expression":"(⊽(≮⫘↔1110011011111⪒≮⫘↔10101101110))⨚(↩≮⫘↔10111101001⋳⪒≮⫘↔11010010011)⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":53,"operation_count":6,"complexity_ratio":8.833333333333334,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7391,"base":2},"right_expr":{"type":"numeric_atoms","value":1390,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1513,"base":2},"right_expr":{"type":"numeric_atoms","value":1683,"base":2}}}}},"used_operators":["DIvbN7qnHd","nREPSIbpBE","QxG7OkqoLX","f6k1SAg4EE","jLgFTUHLKL","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7391","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=7391, right_input=1390, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8781","layer":3},{"info":"compute unary expreesion, input=-8781, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"number node, value=1513","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=1683, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1056","layer":3},{"info":"compute unary expreesion, input=1056, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5668","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5668, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=23606","layer":1},{"info":"compute unary expreesion, input=23606, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⊽(≮⫘↔1110011011111⪒≮⫘↔10101101110))⨚(↩≮⫘↔10111101001⋳⪒≮⫘↔11010010011)⊠≄⫣=≮⫘↔0","reverse_text":"≮⫘↔0=(⊽(≮⫘↔1110011011111⪒≮⫘↔10101101110))⨚(↩≮⫘↔10111101001⋳⪒≮⫘↔11010010011)⊠≄⫣","cot":[{"info":"≮⫘↔1110011011111⪒≮⫘↔10101101110=≮⫘↔-10001001001101","layer":3},{"info":"⊽≮⫘↔-10001001001101=≮⫘↔0","layer":2},{"info":"≮⫘↔10111101001⋳⪒≮⫘↔11010010011=≮⫘↔10000100000","layer":3},{"info":"↩≮⫘↔10000100000=≮⫘↔-1011000100100","layer":2},{"info":"≮⫘↔0⨚≮⫘↔-1011000100100=≮⫘↔101110000110110","layer":1},{"info":"≮⫘↔101110000110110⊠≄⫣=≮⫘↔0","layer":0}]}
{"id":685,"expression_no_base_symbol":"(($5119$∺≝⩲$1180$⇼⇔∾($2536$⫦⪉$2929$))⫲⨊)⪃⊛⇣(≦∁$2038$⪕$3850$⪨⊡($1855$⨁⊸⫻))","expression":"((≮⫘↔1001111111111∺≝⩲≮⫘↔10010011100⇼⇔∾(≮⫘↔100111101000⫦⪉≮⫘↔101101110001))⫲⨊)⪃⊛⇣(≦∁≮⫘↔11111110110⪕≮⫘↔111100001010⪨⊡(≮⫘↔11100111111⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":769806,"operation_count":9,"complexity_ratio":85534.0,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5119,"base":2},"right_expr":{"type":"numeric_atoms","value":1180,"base":2}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2536,"base":2},"right_expr":{"type":"numeric_atoms","value":2929,"base":2}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2038,"base":2},"right_expr":{"type":"numeric_atoms","value":3850,"base":2}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1855,"base":2}}}}},"used_operators":["rrgAzCduG9","CArV6hThFE","tifHPKVTfV","KPf6cnQVty","wscyQdcy20","9ICcGScMcE","kuIXHzHcAH","umQnsF7QlU","glklzrTFfD"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5119","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=5119, right_input=1180, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2536","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=2929, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-172","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-172, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-332","layer":2},{"info":"compute unary expreesion, input=-332, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-877","layer":1},{"info":"number node, value=2038","layer":4},{"info":"number node, value=3850","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=3850, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1127","layer":3},{"info":"number node, value=1855","layer":4},{"info":"compute unary expreesion, input=1855, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1855","layer":3},{"info":"compute binary expreesion, left_input=1127, right_input=1855, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":1},{"info":"compute binary expreesion, left_input=-877, right_input=-320, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001111111111∺≝⩲≮⫘↔10010011100⇼⇔∾(≮⫘↔100111101000⫦⪉≮⫘↔101101110001))⫲⨊)⪃⊛⇣(≦∁≮⫘↔11111110110⪕≮⫘↔111100001010⪨⊡(≮⫘↔11100111111⨁⊸⫻))=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((≮⫘↔1001111111111∺≝⩲≮⫘↔10010011100⇼⇔∾(≮⫘↔100111101000⫦⪉≮⫘↔101101110001))⫲⨊)⪃⊛⇣(≦∁≮⫘↔11111110110⪕≮⫘↔111100001010⪨⊡(≮⫘↔11100111111⨁⊸⫻))","cot":[{"info":"≮⫘↔1001111111111∺≝⩲≮⫘↔10010011100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔100111101000⫦⪉≮⫘↔101101110001=≮⫘↔-10101100","layer":3},{"info":"≮⫘↔10100000⇼⇔∾≮⫘↔-10101100=≮⫘↔-101001100","layer":2},{"info":"≮⫘↔-101001100⫲⨊=≮⫘↔-1101101101","layer":1},{"info":"≮⫘↔11111110110⪕≮⫘↔111100001010=≮⫘↔10001100111","layer":3},{"info":"≮⫘↔11100111111⨁⊸⫻=≮⫘↔11100111111","layer":3},{"info":"≮⫘↔10001100111⪨⊡≮⫘↔11100111111=≮⫘↔0","layer":2},{"info":"≦∁≮⫘↔0=≮⫘↔-101000000","layer":1},{"info":"≮⫘↔-1101101101⪃⊛⇣≮⫘↔-101000000=≮⫘↔10011010010","layer":0}]}
{"id":686,"expression_no_base_symbol":"⪭⩑⪱(($2969$⫢⨠$6970$≥⨤⩑($5464$≬⋮$4032$))⋾⨃∁($5088$⨚⇆$5151$⩧⪆($5496$⪇≇⋚$2517$)))","expression":"⪭⩑⪱((≮⫘↔101110011001⫢⨠≮⫘↔1101100111010≥⨤⩑(≮⫘↔1010101011000≬⋮≮⫘↔111111000000))⋾⨃∁(≮⫘↔1001111100000⨚⇆≮⫘↔1010000011111⩧⪆(≮⫘↔1010101111000⪇≇⋚≮⫘↔100111010101)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37367,"operation_count":8,"complexity_ratio":4670.875,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2969,"base":2},"right_expr":{"type":"numeric_atoms","value":6970,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5464,"base":2},"right_expr":{"type":"numeric_atoms","value":4032,"base":2}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5088,"base":2},"right_expr":{"type":"numeric_atoms","value":5151,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5496,"base":2},"right_expr":{"type":"numeric_atoms","value":2517,"base":2}}}}},"used_operators":["SIgE0bArFf","212REbPD9h","gJLn6v0xnP","xlXykHWxX1","kbkesczE7y","Ikt5ks8PT7","lwHaAYXP2r","3sJ7IOPOlU"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"≮⫘↔11111101111011011110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2969","layer":4},{"info":"number node, value=6970","layer":4},{"info":"compute binary expreesion, left_input=2969, right_input=6970, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=5464","layer":4},{"info":"number node, value=4032","layer":4},{"info":"compute binary expreesion, left_input=5464, right_input=4032, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=868, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=5088","layer":4},{"info":"number node, value=5151","layer":4},{"info":"compute binary expreesion, left_input=5088, right_input=5151, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=5496","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=2517, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":1},{"info":"compute unary expreesion, input=-94, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":2,"result_base":2,"text":"⪭⩑⪱((≮⫘↔101110011001⫢⨠≮⫘↔1101100111010≥⨤⩑(≮⫘↔1010101011000≬⋮≮⫘↔111111000000))⋾⨃∁(≮⫘↔1001111100000⨚⇆≮⫘↔1010000011111⩧⪆(≮⫘↔1010101111000⪇≇⋚≮⫘↔100111010101)))=≮⫘↔11111101111011011110000","reverse_text":"≮⫘↔11111101111011011110000=⪭⩑⪱((≮⫘↔101110011001⫢⨠≮⫘↔1101100111010≥⨤⩑(≮⫘↔1010101011000≬⋮≮⫘↔111111000000))⋾⨃∁(≮⫘↔1001111100000⨚⇆≮⫘↔1010000011111⩧⪆(≮⫘↔1010101111000⪇≇⋚≮⫘↔100111010101)))","cot":[{"info":"≮⫘↔101110011001⫢⨠≮⫘↔1101100111010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1010101011000≬⋮≮⫘↔111111000000=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔10100000≥⨤⩑≮⫘↔1101100100=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔1001111100000⨚⇆≮⫘↔1010000011111=NaN","layer":3},{"info":"≮⫘↔1010101111000⪇≇⋚≮⫘↔100111010101=≮⫘↔0","layer":3},{"info":"NaN⩧⪆≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔10011010010⋾⨃∁≮⫘↔0=≮⫘↔-1011110","layer":1},{"info":"⪭⩑⪱≮⫘↔-1011110=≮⫘↔11111101111011011110000","layer":0}]}
{"id":687,"expression_no_base_symbol":"(((⨴⫝$2067$)∝$2523$⪚$3788$)⨽$1018$⨪↰⇹$5137$⋾⨃∁(⫵↿$1008$))⊝⪿⪼(⩎⋉(⨈⪑($3787$∝$1031$)))","expression":"(((⨴⫝≮⫘↔100000010011)∝≮⫘↔100111011011⪚≮⫘↔111011001100)⨽≮⫘↔1111111010⨪↰⇹≮⫘↔1010000010001⋾⨃∁(⫵↿≮⫘↔1111110000))⊝⪿⪼(⩎⋉(⨈⪑(≮⫘↔111011001011∝≮⫘↔10000000111)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2831459,"operation_count":11,"complexity_ratio":257405.36363636365,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2067,"base":2}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2523,"base":2},"right_expr":{"type":"numeric_atoms","value":3788,"base":2}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1018,"base":2},"right_expr":{"type":"numeric_atoms","value":5137,"base":2}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1008,"base":2}}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3787,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}}}}},"used_operators":["3Oe9XWJUTD","8HhzD0ZcuI","cTDWOvIxvz","SVb2v531z1","HrjLwUk87U","212REbPD9h","tmPS8pqC7x","ivGwdmUAux","FlXk3pOYe8","mp94q5OcYM"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","7j4O788W3g","W4YGzv6Whe","COABgblf1C","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rJVOvQCfKK","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2067","layer":4},{"info":"compute unary expreesion, input=2067, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=3788","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=3788, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2886","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-2886, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2828203","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=5137","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=5137, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1018","layer":3},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=1018, right_input=137, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=185952","layer":2},{"info":"compute binary expreesion, left_input=2828203, right_input=185952, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"number node, value=3787","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=1031, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3792","layer":3},{"info":"compute unary expreesion, input=3792, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=1650, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"(((⨴⫝≮⫘↔100000010011)∝≮⫘↔100111011011⪚≮⫘↔111011001100)⨽≮⫘↔1111111010⨪↰⇹≮⫘↔1010000010001⋾⨃∁(⫵↿≮⫘↔1111110000))⊝⪿⪼(⩎⋉(⨈⪑(≮⫘↔111011001011∝≮⫘↔10000000111)))=-Inf","reverse_text":"-Inf=(((⨴⫝≮⫘↔100000010011)∝≮⫘↔100111011011⪚≮⫘↔111011001100)⨽≮⫘↔1111111010⨪↰⇹≮⫘↔1010000010001⋾⨃∁(⫵↿≮⫘↔1111110000))⊝⪿⪼(⩎⋉(⨈⪑(≮⫘↔111011001011∝≮⫘↔10000000111)))","cot":[{"info":"⨴⫝≮⫘↔100000010011=≮⫘↔1010110010011110100110","layer":3},{"info":"≮⫘↔100111011011⪚≮⫘↔111011001100=≮⫘↔-101101000110","layer":3},{"info":"≮⫘↔1010110010011110100110∝≮⫘↔-101101000110=≮⫘↔1010110010011110101011","layer":2},{"info":"≮⫘↔1111111010⨪↰⇹≮⫘↔1010000010001=≮⫘↔1111111010","layer":3},{"info":"⫵↿≮⫘↔1111110000=≮⫘↔10001001","layer":3},{"info":"≮⫘↔1111111010⋾⨃∁≮⫘↔10001001=≮⫘↔101101011001100000","layer":2},{"info":"≮⫘↔1010110010011110101011⨽≮⫘↔101101011001100000=-Inf","layer":1},{"info":"≮⫘↔111011001011∝≮⫘↔10000000111=≮⫘↔111011010000","layer":3},{"info":"⨈⪑≮⫘↔111011010000=≮⫘↔1101100100","layer":2},{"info":"⩎⋉≮⫘↔1101100100=≮⫘↔11001110010","layer":1},{"info":"-Inf⊝⪿⪼≮⫘↔11001110010=-Inf","layer":0}]}
{"id":688,"expression_no_base_symbol":"(($1081$⨐⩸⫘$1375$⪨≂$1254$+⪬∐$3218$)∌↝(↪⫪⫘($5755$⫁$2146$)))↳≱($1043$⨂≜$4261$↳∿⪆($1479$⩹$1983$)⪘⫢(($7000$∖$2716$)↫))","expression":"((≮⫘↔10000111001⨐⩸⫘≮⫘↔10101011111⪨≂≮⫘↔10011100110+⪬∐≮⫘↔110010010010)∌↝(↪⫪⫘(≮⫘↔1011001111011⫁≮⫘↔100001100010)))↳≱(≮⫘↔10000010011⨂≜≮⫘↔1000010100101↳∿⪆(≮⫘↔10111000111⩹≮⫘↔11110111111)⪘⫢((≮⫘↔1101101011000∖≮⫘↔101010011100)↫))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4127,"operation_count":13,"complexity_ratio":317.46153846153845,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1081,"base":2},"right_expr":{"type":"numeric_atoms","value":1375,"base":2}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1254,"base":2},"right_expr":{"type":"numeric_atoms","value":3218,"base":2}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5755,"base":2},"right_expr":{"type":"numeric_atoms","value":2146,"base":2}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1043,"base":2},"right_expr":{"type":"numeric_atoms","value":4261,"base":2}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1479,"base":2},"right_expr":{"type":"numeric_atoms","value":1983,"base":2}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":7000,"base":2},"right_expr":{"type":"numeric_atoms","value":2716,"base":2}}}}},"used_operators":["JwTKLfZU96","9Isq31Ruls","sdazOOVcIp","fu6greOZ01","2GS7woTJqF","9dWsAM3GFt","0ajvFaJAv0","oacrs7FA3X","Cw4SuJJGHO","k1SHOSEABc","2Wsdkap16l","uPb5QRN0te","tXD093vOjl"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","g55IO6H4Gj","D4vGDi5EA2","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1081","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1375, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1254","layer":4},{"info":"number node, value=3218","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=3218, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3762","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3762, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=5755","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=5755, right_input=2146, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"number node, value=1043","layer":4},{"info":"number node, value=4261","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=4261, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1479","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=1983, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1981","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1981, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=7000","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=7000, right_input=2716, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000111001⨐⩸⫘≮⫘↔10101011111⪨≂≮⫘↔10011100110+⪬∐≮⫘↔110010010010)∌↝(↪⫪⫘(≮⫘↔1011001111011⫁≮⫘↔100001100010)))↳≱(≮⫘↔10000010011⨂≜≮⫘↔1000010100101↳∿⪆(≮⫘↔10111000111⩹≮⫘↔11110111111)⪘⫢((≮⫘↔1101101011000∖≮⫘↔101010011100)↫))=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔10000111001⨐⩸⫘≮⫘↔10101011111⪨≂≮⫘↔10011100110+⪬∐≮⫘↔110010010010)∌↝(↪⫪⫘(≮⫘↔1011001111011⫁≮⫘↔100001100010)))↳≱(≮⫘↔10000010011⨂≜≮⫘↔1000010100101↳∿⪆(≮⫘↔10111000111⩹≮⫘↔11110111111)⪘⫢((≮⫘↔1101101011000∖≮⫘↔101010011100)↫))","cot":[{"info":"≮⫘↔10000111001⨐⩸⫘≮⫘↔10101011111=NaN","layer":3},{"info":"≮⫘↔10011100110+⪬∐≮⫘↔110010010010=≮⫘↔-111010110010","layer":3},{"info":"NaN⪨≂≮⫘↔-111010110010=NaN","layer":2},{"info":"≮⫘↔1011001111011⫁≮⫘↔100001100010=≮⫘↔10100000","layer":3},{"info":"↪⫪⫘≮⫘↔10100000=≮⫘↔10100","layer":2},{"info":"NaN∌↝≮⫘↔10100=NaN","layer":1},{"info":"≮⫘↔10000010011⨂≜≮⫘↔1000010100101=NaN","layer":3},{"info":"≮⫘↔10111000111⩹≮⫘↔11110111111=≮⫘↔11110111101","layer":3},{"info":"NaN↳∿⪆≮⫘↔11110111101=NaN","layer":2},{"info":"≮⫘↔1101101011000∖≮⫘↔101010011100=≮⫘↔0","layer":3},{"info":"≮⫘↔0↫=≮⫘↔10100000","layer":2},{"info":"NaN⪘⫢≮⫘↔10100000=NaN","layer":1},{"info":"NaN↳≱NaN=≮⫘↔0","layer":0}]}
{"id":689,"expression_no_base_symbol":"(($3500$∖$3196$)⨑⩅≇($3506$⨥⫆$1532$)⋅⇍($3443$⫃⨇$4098$)⊔($2151$⇌⫙⪟$1176$))⪔⊥(($5766$⊴⇁⪶)⨿(→⩰$1165$))≎⪠($3576$⩼⇪↪$2431$⩨($1286$⨲))","expression":"((≮⫘↔110110101100∖≮⫘↔110001111100)⨑⩅≇(≮⫘↔110110110010⨥⫆≮⫘↔10111111100)⋅⇍(≮⫘↔110101110011⫃⨇≮⫘↔1000000000010)⊔(≮⫘↔100001100111⇌⫙⪟≮⫘↔10010011000))⪔⊥((≮⫘↔1011010000110⊴⇁⪶)⨿(→⩰≮⫘↔10010001101))≎⪠(≮⫘↔110111111000⩼⇪↪≮⫘↔100101111111⩨(≮⫘↔10100000110⨲))","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":244774,"operation_count":15,"complexity_ratio":16318.266666666666,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3500,"base":2},"right_expr":{"type":"numeric_atoms","value":3196,"base":2}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3506,"base":2},"right_expr":{"type":"numeric_atoms","value":1532,"base":2}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3443,"base":2},"right_expr":{"type":"numeric_atoms","value":4098,"base":2}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2151,"base":2},"right_expr":{"type":"numeric_atoms","value":1176,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":5766,"base":2}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1165,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3576,"base":2},"right_expr":{"type":"numeric_atoms","value":2431,"base":2}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":1286,"base":2}}}}},"used_operators":["HJ9erzHUuu","AdZkA7nFnk","h92wMvzauj","tXD093vOjl","yXekIHxTD4","E4l6HwMY31","09Ly4LVMIf","AFVx7xoS7T","aNhz54LH3e","abYXlopdE0","oo9mF6JIpo","o8Pngz0Tml","2DlMacCsIx","ocnLzx9CaJ","nLYMGWM7L8"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ"],"result":"≮⫘↔-1001100111101011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3500","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=3196, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=3506","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=3506, right_input=1532, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2940","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2940, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":2},{"info":"number node, value=3443","layer":4},{"info":"number node, value=4098","layer":4},{"info":"compute binary expreesion, left_input=3443, right_input=4098, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16424","layer":3},{"info":"number node, value=2151","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=2151, right_input=1176, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-16424, right_input=113, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=64325","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=64325, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=5766","layer":4},{"info":"compute unary expreesion, input=5766, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=119174","layer":3},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=119174, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=3576","layer":4},{"info":"number node, value=2431","layer":4},{"info":"compute binary expreesion, left_input=3576, right_input=2431, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-10648","layer":3},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=225280141","layer":3},{"info":"compute binary expreesion, left_input=-10648, right_input=225280141, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=63474","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=63474, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=19558, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-39403","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110110101100∖≮⫘↔110001111100)⨑⩅≇(≮⫘↔110110110010⨥⫆≮⫘↔10111111100)⋅⇍(≮⫘↔110101110011⫃⨇≮⫘↔1000000000010)⊔(≮⫘↔100001100111⇌⫙⪟≮⫘↔10010011000))⪔⊥((≮⫘↔1011010000110⊴⇁⪶)⨿(→⩰≮⫘↔10010001101))≎⪠(≮⫘↔110111111000⩼⇪↪≮⫘↔100101111111⩨(≮⫘↔10100000110⨲))=≮⫘↔-1001100111101011","reverse_text":"≮⫘↔-1001100111101011=((≮⫘↔110110101100∖≮⫘↔110001111100)⨑⩅≇(≮⫘↔110110110010⨥⫆≮⫘↔10111111100)⋅⇍(≮⫘↔110101110011⫃⨇≮⫘↔1000000000010)⊔(≮⫘↔100001100111⇌⫙⪟≮⫘↔10010011000))⪔⊥((≮⫘↔1011010000110⊴⇁⪶)⨿(→⩰≮⫘↔10010001101))≎⪠(≮⫘↔110111111000⩼⇪↪≮⫘↔100101111111⩨(≮⫘↔10100000110⨲))","cot":[{"info":"≮⫘↔110110101100∖≮⫘↔110001111100=≮⫘↔0","layer":3},{"info":"≮⫘↔110110110010⨥⫆≮⫘↔10111111100=≮⫘↔101101111100","layer":3},{"info":"≮⫘↔0⨑⩅≇≮⫘↔101101111100=≮⫘↔0","layer":2},{"info":"≮⫘↔110101110011⫃⨇≮⫘↔1000000000010=≮⫘↔-100000000101000","layer":3},{"info":"≮⫘↔100001100111⇌⫙⪟≮⫘↔10010011000=≮⫘↔1110001","layer":3},{"info":"≮⫘↔-100000000101000⊔≮⫘↔1110001=≮⫘↔1111101101000101","layer":2},{"info":"≮⫘↔0⋅⇍≮⫘↔1111101101000101=≮⫘↔-10110","layer":1},{"info":"≮⫘↔1011010000110⊴⇁⪶=≮⫘↔11101000110000110","layer":3},{"info":"→⩰≮⫘↔10010001101=NaN","layer":3},{"info":"≮⫘↔11101000110000110⨿NaN=≮⫘↔-100111111","layer":2},{"info":"≮⫘↔110111111000⩼⇪↪≮⫘↔100101111111=≮⫘↔-10100110011000","layer":3},{"info":"≮⫘↔10100000110⨲=≮⫘↔1101011011011000000010001101","layer":3},{"info":"≮⫘↔-10100110011000⩨≮⫘↔1101011011011000000010001101=≮⫘↔1111011111110010","layer":2},{"info":"≮⫘↔-100111111≎⪠≮⫘↔1111011111110010=≮⫘↔100110001100110","layer":1},{"info":"≮⫘↔-10110⪔⊥≮⫘↔100110001100110=≮⫘↔-1001100111101011","layer":0}]}
{"id":690,"expression_no_base_symbol":"⇵⪽(($2493$↤⩊$6734$≦≮≮)≌(($6343$⋫)-$4064$⋥≓≎$5398$))","expression":"⇵⪽((≮⫘↔100110111101↤⩊≮⫘↔1101001001110≦≮≮)≌((≮⫘↔1100011000111⋫)-≮⫘↔111111100000⋥≓≎≮⫘↔1010100010110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":187740,"operation_count":7,"complexity_ratio":26820.0,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2493,"base":2},"right_expr":{"type":"numeric_atoms","value":6734,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":6343,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4064,"base":2},"right_expr":{"type":"numeric_atoms","value":5398,"base":2}}}}},"used_operators":["ZGCBLdVRRX","lyWz822IDG","D4vGDi5EA2","13rbtpv6ld","rysDP5nf3Z","JL8yIekQnl","Qy55tPpLXF"],"dependent_operators":["U7g4x0WXJJ","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2493","layer":4},{"info":"number node, value=6734","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=6734, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=6343","layer":4},{"info":"compute unary expreesion, input=6343, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6343","layer":3},{"info":"number node, value=4064","layer":4},{"info":"number node, value=5398","layer":4},{"info":"compute binary expreesion, left_input=4064, right_input=5398, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6765","layer":3},{"info":"compute binary expreesion, left_input=6343, right_input=6765, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-422","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-422, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=10756","layer":1},{"info":"compute unary expreesion, input=10756, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇵⪽((≮⫘↔100110111101↤⩊≮⫘↔1101001001110≦≮≮)≌((≮⫘↔1100011000111⋫)-≮⫘↔111111100000⋥≓≎≮⫘↔1010100010110))=NaN","reverse_text":"NaN=⇵⪽((≮⫘↔100110111101↤⩊≮⫘↔1101001001110≦≮≮)≌((≮⫘↔1100011000111⋫)-≮⫘↔111111100000⋥≓≎≮⫘↔1010100010110))","cot":[{"info":"≮⫘↔100110111101↤⩊≮⫘↔1101001001110=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"≮⫘↔1100011000111⋫=≮⫘↔1100011000111","layer":3},{"info":"≮⫘↔111111100000⋥≓≎≮⫘↔1010100010110=≮⫘↔1101001101101","layer":3},{"info":"≮⫘↔1100011000111-≮⫘↔1101001101101=≮⫘↔-110100110","layer":2},{"info":"NaN≌≮⫘↔-110100110=≮⫘↔10101000000100","layer":1},{"info":"⇵⪽≮⫘↔10101000000100=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"→⩰((⇠$5902$)∪⫐$1594$⇴$5672$)+⇶⊼(($5747$⇼⇔∾$1102$)⪛⫼$6105$∑⇟⊟$4177$)","expression":"→⩰((⇠≮⫘↔1011100001110)∪⫐≮⫘↔11000111010⇴≮⫘↔1011000101000)+⇶⊼((≮⫘↔1011001110011⇼⇔∾≮⫘↔10001001110)⪛⫼≮⫘↔1011111011001∑⇟⊟≮⫘↔1000001010001)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":366,"operation_count":8,"complexity_ratio":45.75,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":5902,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1594,"base":2},"right_expr":{"type":"numeric_atoms","value":5672,"base":2}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5747,"base":2},"right_expr":{"type":"numeric_atoms","value":1102,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6105,"base":2},"right_expr":{"type":"numeric_atoms","value":4177,"base":2}}}}},"used_operators":["o8Pngz0Tml","TpPTUOHfaN","7YooWSwCyH","18saOjeKKm","4JB6nKBMSY","hyuBjUqXlG","tifHPKVTfV","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","AHs5Up7iyr","rJVOvQCfKK","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","sdazOOVcIp","NTOWxs364D","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5902","layer":4},{"info":"compute unary expreesion, input=5902, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-5660","layer":3},{"info":"number node, value=1594","layer":4},{"info":"number node, value=5672","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=5672, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20522","layer":3},{"info":"compute binary expreesion, left_input=-5660, right_input=20522, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-5660","layer":2},{"info":"number node, value=5747","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=5747, right_input=1102, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4645","layer":3},{"info":"number node, value=6105","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=6105, right_input=4177, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4645, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5660, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"→⩰((⇠≮⫘↔1011100001110)∪⫐≮⫘↔11000111010⇴≮⫘↔1011000101000)+⇶⊼((≮⫘↔1011001110011⇼⇔∾≮⫘↔10001001110)⪛⫼≮⫘↔1011111011001∑⇟⊟≮⫘↔1000001010001)=NaN","reverse_text":"NaN=→⩰((⇠≮⫘↔1011100001110)∪⫐≮⫘↔11000111010⇴≮⫘↔1011000101000)+⇶⊼((≮⫘↔1011001110011⇼⇔∾≮⫘↔10001001110)⪛⫼≮⫘↔1011111011001∑⇟⊟≮⫘↔1000001010001)","cot":[{"info":"⇠≮⫘↔1011100001110=≮⫘↔-1011000011100","layer":3},{"info":"≮⫘↔11000111010⇴≮⫘↔1011000101000=≮⫘↔101000000101010","layer":3},{"info":"≮⫘↔-1011000011100∪⫐≮⫘↔101000000101010=≮⫘↔-1011000011100","layer":2},{"info":"≮⫘↔1011001110011⇼⇔∾≮⫘↔10001001110=≮⫘↔-1001000100101","layer":3},{"info":"≮⫘↔1011111011001∑⇟⊟≮⫘↔1000001010001=NaN","layer":3},{"info":"≮⫘↔-1001000100101⪛⫼NaN=NaN","layer":2},{"info":"≮⫘↔-1011000011100+⇶⊼NaN=NaN","layer":1},{"info":"→⩰NaN=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"(⊀($3197$⋝⋈⪟$6521$⊾⪯⋞$1802$⋭≵$7041$))⇍⊗($3103$≌$1074$⪡(⊁⨺$4655$))⪔⊥(($4117$⫿)∀⇚≩($3323$⊍⩺⋍$7169$))","expression":"(⊀(≮⫘↔110001111101⋝⋈⪟≮⫘↔1100101111001⊾⪯⋞≮⫘↔11100001010⋭≵≮⫘↔1101110000001))⇍⊗(≮⫘↔110000011111≌≮⫘↔10000110010⪡(⊁⨺≮⫘↔1001000101111))⪔⊥((≮⫘↔1000000010101⫿)∀⇚≩(≮⫘↔110011111011⊍⩺⋍≮⫘↔1110000000001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30448,"operation_count":12,"complexity_ratio":2537.3333333333335,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3197,"base":2},"right_expr":{"type":"numeric_atoms","value":6521,"base":2}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1802,"base":2},"right_expr":{"type":"numeric_atoms","value":7041,"base":2}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3103,"base":2},"right_expr":{"type":"numeric_atoms","value":1074,"base":2}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4655,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":4117,"base":2}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3323,"base":2},"right_expr":{"type":"numeric_atoms","value":7169,"base":2}}}}},"used_operators":["5uvYHDjeKN","oPMjh9089D","HK0tfVPux8","2DDjHMKMc0","jBncVCNhdl","HJ9erzHUuu","oraRL2iQuh","lyWz822IDG","PxiHyQbrIp","LRNGc0VcxI","9tKT6PmtkH","OXDGMFPWZM"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","X99M06cbEe","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3197","layer":4},{"info":"number node, value=6521","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=6521, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3197","layer":3},{"info":"number node, value=1802","layer":4},{"info":"number node, value=7041","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=7041, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=3197, right_input=67, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"compute unary expreesion, input=-818, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=13053","layer":1},{"info":"number node, value=3103","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=3103, right_input=1074, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=4655","layer":4},{"info":"compute unary expreesion, input=4655, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"number node, value=4117","layer":4},{"info":"compute unary expreesion, input=4117, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=4117","layer":3},{"info":"number node, value=3323","layer":4},{"info":"number node, value=7169","layer":4},{"info":"compute binary expreesion, left_input=3323, right_input=7169, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4117, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13053, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊀(≮⫘↔110001111101⋝⋈⪟≮⫘↔1100101111001⊾⪯⋞≮⫘↔11100001010⋭≵≮⫘↔1101110000001))⇍⊗(≮⫘↔110000011111≌≮⫘↔10000110010⪡(⊁⨺≮⫘↔1001000101111))⪔⊥((≮⫘↔1000000010101⫿)∀⇚≩(≮⫘↔110011111011⊍⩺⋍≮⫘↔1110000000001))=NaN","reverse_text":"NaN=(⊀(≮⫘↔110001111101⋝⋈⪟≮⫘↔1100101111001⊾⪯⋞≮⫘↔11100001010⋭≵≮⫘↔1101110000001))⇍⊗(≮⫘↔110000011111≌≮⫘↔10000110010⪡(⊁⨺≮⫘↔1001000101111))⪔⊥((≮⫘↔1000000010101⫿)∀⇚≩(≮⫘↔110011111011⊍⩺⋍≮⫘↔1110000000001))","cot":[{"info":"≮⫘↔110001111101⋝⋈⪟≮⫘↔1100101111001=≮⫘↔110001111101","layer":3},{"info":"≮⫘↔11100001010⋭≵≮⫘↔1101110000001=≮⫘↔1000011","layer":3},{"info":"≮⫘↔110001111101⊾⪯⋞≮⫘↔1000011=≮⫘↔-1100110010","layer":2},{"info":"⊀≮⫘↔-1100110010=≮⫘↔11001011111101","layer":1},{"info":"≮⫘↔110000011111≌≮⫘↔10000110010=NaN","layer":3},{"info":"⊁⨺≮⫘↔1001000101111=≮⫘↔10100000","layer":3},{"info":"NaN⪡≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔1000000010101⫿=≮⫘↔1000000010101","layer":3},{"info":"≮⫘↔110011111011⊍⩺⋍≮⫘↔1110000000001=NaN","layer":3},{"info":"≮⫘↔1000000010101∀⇚≩NaN=NaN","layer":2},{"info":"NaN⪔⊥NaN=NaN","layer":1},{"info":"≮⫘↔11001011111101⇍⊗NaN=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"⊲⪭((↓⇌$5301$)↓($1105$⨔≚≋$2676$)⋅⇍$4594$⪒⊣⊆$5220$∣(⪸$4239$))","expression":"⊲⪭((↓⇌≮⫘↔1010010110101)↓(≮⫘↔10001010001⨔≚≋≮⫘↔101001110100)⋅⇍≮⫘↔1000111110010⪒⊣⊆≮⫘↔1010001100100∣(⪸≮⫘↔1000010001111))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":138598,"operation_count":8,"complexity_ratio":17324.75,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":5301,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1105,"base":2},"right_expr":{"type":"numeric_atoms","value":2676,"base":2}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4594,"base":2},"right_expr":{"type":"numeric_atoms","value":5220,"base":2}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":4239,"base":2}}}}},"used_operators":["k7HXdKtiEU","AdZkA7nFnk","Af076pWI7l","PxpmPgHHJV","Z57zeUYC9z","PPChnnnBFF","eRqsBgTDFp","86A5ENbKR9"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"≮⫘↔100001001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5301","layer":4},{"info":"compute unary expreesion, input=5301, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=5301","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=2676, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=5301, right_input=9872, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=4594","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=4594, right_input=5220, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9188","layer":3},{"info":"number node, value=4239","layer":4},{"info":"compute unary expreesion, input=4239, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-71854","layer":3},{"info":"compute binary expreesion, left_input=9188, right_input=-71854, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-8231","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-8231, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-439","layer":1},{"info":"compute unary expreesion, input=-439, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=265","layer":0}],"base":2,"result_base":2,"text":"⊲⪭((↓⇌≮⫘↔1010010110101)↓(≮⫘↔10001010001⨔≚≋≮⫘↔101001110100)⋅⇍≮⫘↔1000111110010⪒⊣⊆≮⫘↔1010001100100∣(⪸≮⫘↔1000010001111))=≮⫘↔100001001","reverse_text":"≮⫘↔100001001=⊲⪭((↓⇌≮⫘↔1010010110101)↓(≮⫘↔10001010001⨔≚≋≮⫘↔101001110100)⋅⇍≮⫘↔1000111110010⪒⊣⊆≮⫘↔1010001100100∣(⪸≮⫘↔1000010001111))","cot":[{"info":"↓⇌≮⫘↔1010010110101=≮⫘↔1010010110101","layer":3},{"info":"≮⫘↔10001010001⨔≚≋≮⫘↔101001110100=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔1010010110101↓≮⫘↔10011010010000=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔1000111110010⪒⊣⊆≮⫘↔1010001100100=≮⫘↔10001111100100","layer":3},{"info":"⪸≮⫘↔1000010001111=≮⫘↔-10001100010101110","layer":3},{"info":"≮⫘↔10001111100100∣≮⫘↔-10001100010101110=≮⫘↔-10000000100111","layer":2},{"info":"≮⫘↔-10000110⋅⇍≮⫘↔-10000000100111=≮⫘↔-110110111","layer":1},{"info":"⊲⪭≮⫘↔-110110111=≮⫘↔100001001","layer":0}]}
{"id":694,"expression_no_base_symbol":"↩(⇾⩊⇾($1809$⋻⩜⩜$1919$))⩦(($1267$⨳⩥⨓$3400$)≑≱⪘)","expression":"↩(⇾⩊⇾(≮⫘↔11100010001⋻⩜⩜≮⫘↔11101111111))⩦((≮⫘↔10011110011⨳⩥⨓≮⫘↔110101001000)≑≱⪘)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27031,"operation_count":6,"complexity_ratio":4505.166666666667,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1809,"base":2},"right_expr":{"type":"numeric_atoms","value":1919,"base":2}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1267,"base":2},"right_expr":{"type":"numeric_atoms","value":3400,"base":2}}}}},"used_operators":["jLgFTUHLKL","0kmYd0q39Y","bx9Z9DAK5y","oDCm7WA9JY","tGSeddj7UK","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔1001001001010101111000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1809","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=1919, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3618","layer":3},{"info":"compute unary expreesion, input=3618, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-39048","layer":2},{"info":"number node, value=1267","layer":4},{"info":"number node, value=3400","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=3400, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2133","layer":3},{"info":"compute unary expreesion, input=2133, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=51823","layer":2},{"info":"compute binary expreesion, left_input=-39048, right_input=51823, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-598735","layer":1},{"info":"compute unary expreesion, input=-598735, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=2397560","layer":0}],"base":2,"result_base":2,"text":"↩(⇾⩊⇾(≮⫘↔11100010001⋻⩜⩜≮⫘↔11101111111))⩦((≮⫘↔10011110011⨳⩥⨓≮⫘↔110101001000)≑≱⪘)=≮⫘↔1001001001010101111000","reverse_text":"≮⫘↔1001001001010101111000=↩(⇾⩊⇾(≮⫘↔11100010001⋻⩜⩜≮⫘↔11101111111))⩦((≮⫘↔10011110011⨳⩥⨓≮⫘↔110101001000)≑≱⪘)","cot":[{"info":"≮⫘↔11100010001⋻⩜⩜≮⫘↔11101111111=≮⫘↔111000100010","layer":3},{"info":"⇾⩊⇾≮⫘↔111000100010=≮⫘↔-1001100010001000","layer":2},{"info":"≮⫘↔10011110011⨳⩥⨓≮⫘↔110101001000=≮⫘↔100001010101","layer":3},{"info":"≮⫘↔100001010101≑≱⪘=≮⫘↔1100101001101111","layer":2},{"info":"≮⫘↔-1001100010001000⩦≮⫘↔1100101001101111=≮⫘↔-10010010001011001111","layer":1},{"info":"↩≮⫘↔-10010010001011001111=≮⫘↔1001001001010101111000","layer":0}]}
{"id":695,"expression_no_base_symbol":"⩎⋉(⪨⨬(($1344$⩹$1426$)⩘$1359$⫯⪬∳$1091$))","expression":"⩎⋉(⪨⨬((≮⫘↔10101000000⩹≮⫘↔10110010010)⩘≮⫘↔10101001111⫯⪬∳≮⫘↔10001000011))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":224,"operation_count":5,"complexity_ratio":44.8,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1344,"base":2},"right_expr":{"type":"numeric_atoms","value":1426,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1359,"base":2},"right_expr":{"type":"numeric_atoms","value":1091,"base":2}}}}},"used_operators":["FlXk3pOYe8","5obUd6DV38","cHh1gJQ2o6","2Wsdkap16l","d7ASUq0ydm"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","T2fj7uvVaJ","nlCqmYiOvY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"≮⫘↔11001110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1344","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=1426, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1424","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=1091, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5737","layer":3},{"info":"compute binary expreesion, left_input=1424, right_input=5737, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute unary expreesion, input=-526, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":0}],"base":2,"result_base":2,"text":"⩎⋉(⪨⨬((≮⫘↔10101000000⩹≮⫘↔10110010010)⩘≮⫘↔10101001111⫯⪬∳≮⫘↔10001000011))=≮⫘↔11001110010","reverse_text":"≮⫘↔11001110010=⩎⋉(⪨⨬((≮⫘↔10101000000⩹≮⫘↔10110010010)⩘≮⫘↔10101001111⫯⪬∳≮⫘↔10001000011))","cot":[{"info":"≮⫘↔10101000000⩹≮⫘↔10110010010=≮⫘↔10110010000","layer":3},{"info":"≮⫘↔10101001111⫯⪬∳≮⫘↔10001000011=≮⫘↔1011001101001","layer":3},{"info":"≮⫘↔10110010000⩘≮⫘↔1011001101001=≮⫘↔10100000","layer":2},{"info":"⪨⨬≮⫘↔10100000=≮⫘↔-1000001110","layer":1},{"info":"⩎⋉≮⫘↔-1000001110=≮⫘↔11001110010","layer":0}]}
{"id":696,"expression_no_base_symbol":"(($2809$⫔⩽⩺$5919$)∑⇟⊟(⊥$1500$)⫳≱↱($6103$⨐⩸⫘$1857$)⩌⋺($2489$↙$2629$))∘(($2954$≀⫉$1659$∈)≠≀($6020$≠≀$3947$⪄($6573$⫦⪉$2792$)))","expression":"((≮⫘↔101011111001⫔⩽⩺≮⫘↔1011100011111)∑⇟⊟(⊥≮⫘↔10111011100)⫳≱↱(≮⫘↔1011111010111⨐⩸⫘≮⫘↔11101000001)⩌⋺(≮⫘↔100110111001↙≮⫘↔101001000101))∘((≮⫘↔101110001010≀⫉≮⫘↔11001111011∈)≠≀(≮⫘↔1011110000100≠≀≮⫘↔111101101011⪄(≮⫘↔1100110101101⫦⪉≮⫘↔101011101000)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3043,"operation_count":14,"complexity_ratio":217.35714285714286,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2809,"base":2},"right_expr":{"type":"numeric_atoms","value":5919,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1500,"base":2}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6103,"base":2},"right_expr":{"type":"numeric_atoms","value":1857,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2489,"base":2},"right_expr":{"type":"numeric_atoms","value":2629,"base":2}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2954,"base":2},"right_expr":{"type":"numeric_atoms","value":1659,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6020,"base":2},"right_expr":{"type":"numeric_atoms","value":3947,"base":2}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6573,"base":2},"right_expr":{"type":"numeric_atoms","value":2792,"base":2}}}}},"used_operators":["Z5m6OM72h2","ZvLB05nZmT","U7g4x0WXJJ","i9eR4S00cU","Q3PJZHRvZv","g7Hmc5v1ko","fu6greOZ01","yyfyN0ffXY","IwW236VD4Y","ztP7wcbY7m","oZj3VtZNQx","SUmda5xLS4","wscyQdcy20"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tw270M8GLb","fu6greOZ01","fu6greOZ01","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2809","layer":4},{"info":"number node, value=5919","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=5919, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1500","layer":4},{"info":"compute unary expreesion, input=1500, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=6103","layer":4},{"info":"number node, value=1857","layer":4},{"info":"compute binary expreesion, left_input=6103, right_input=1857, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2489","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=2489, right_input=2629, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7887","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7887, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"number node, value=2954","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=1659, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=7795","layer":2},{"info":"number node, value=6020","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=6020, right_input=3947, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11734","layer":3},{"info":"number node, value=6573","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=6573, right_input=2792, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8246","layer":3},{"info":"compute binary expreesion, left_input=-11734, right_input=-8246, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=7795, right_input=3979, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-15284","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15284, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101011111001⫔⩽⩺≮⫘↔1011100011111)∑⇟⊟(⊥≮⫘↔10111011100)⫳≱↱(≮⫘↔1011111010111⨐⩸⫘≮⫘↔11101000001)⩌⋺(≮⫘↔100110111001↙≮⫘↔101001000101))∘((≮⫘↔101110001010≀⫉≮⫘↔11001111011∈)≠≀(≮⫘↔1011110000100≠≀≮⫘↔111101101011⪄(≮⫘↔1100110101101⫦⪉≮⫘↔101011101000)))=NaN","reverse_text":"NaN=((≮⫘↔101011111001⫔⩽⩺≮⫘↔1011100011111)∑⇟⊟(⊥≮⫘↔10111011100)⫳≱↱(≮⫘↔1011111010111⨐⩸⫘≮⫘↔11101000001)⩌⋺(≮⫘↔100110111001↙≮⫘↔101001000101))∘((≮⫘↔101110001010≀⫉≮⫘↔11001111011∈)≠≀(≮⫘↔1011110000100≠≀≮⫘↔111101101011⪄(≮⫘↔1100110101101⫦⪉≮⫘↔101011101000)))","cot":[{"info":"≮⫘↔101011111001⫔⩽⩺≮⫘↔1011100011111=NaN","layer":3},{"info":"⊥≮⫘↔10111011100=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"≮⫘↔1011111010111⨐⩸⫘≮⫘↔11101000001=NaN","layer":3},{"info":"≮⫘↔100110111001↙≮⫘↔101001000101=≮⫘↔-1111011001111","layer":3},{"info":"NaN⩌⋺≮⫘↔-1111011001111=NaN","layer":2},{"info":"NaN⫳≱↱NaN=NaN","layer":1},{"info":"≮⫘↔101110001010≀⫉≮⫘↔11001111011=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔101100000110∈=≮⫘↔1111001110011","layer":2},{"info":"≮⫘↔1011110000100≠≀≮⫘↔111101101011=≮⫘↔-10110111010110","layer":3},{"info":"≮⫘↔1100110101101⫦⪉≮⫘↔101011101000=≮⫘↔-10000000110110","layer":3},{"info":"≮⫘↔-10110111010110⪄≮⫘↔-10000000110110=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔1111001110011≠≀≮⫘↔111110001011=≮⫘↔-11101110110100","layer":1},{"info":"NaN∘≮⫘↔-11101110110100=NaN","layer":0}]}
{"id":697,"expression_no_base_symbol":"⊲⪭(⇉-⫰($1365$⇩))⨿(↸⊣$1109$↞⋁$1796$)","expression":"⊲⪭(⇉-⫰(≮⫘↔10101010101⇩))⨿(↸⊣≮⫘↔10001010101↞⋁≮⫘↔11100000100)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":474,"operation_count":6,"complexity_ratio":79.0,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1365,"base":2}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1109,"base":2},"right_expr":{"type":"numeric_atoms","value":1796,"base":2}}}}},"used_operators":["k7HXdKtiEU","abYXlopdE0","IGFM8TAlm9","vRio1gEz1j","wztAlM01eG","RqrPlJkxDo"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"≮⫘↔-100100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1458","layer":3},{"info":"compute unary expreesion, input=1458, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1796, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":1},{"info":"compute unary expreesion, input=121, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-295","layer":0}],"base":2,"result_base":2,"text":"⊲⪭(⇉-⫰(≮⫘↔10101010101⇩))⨿(↸⊣≮⫘↔10001010101↞⋁≮⫘↔11100000100)=≮⫘↔-100100111","reverse_text":"≮⫘↔-100100111=⊲⪭(⇉-⫰(≮⫘↔10101010101⇩))⨿(↸⊣≮⫘↔10001010101↞⋁≮⫘↔11100000100)","cot":[{"info":"≮⫘↔10101010101⇩=≮⫘↔10110110010","layer":3},{"info":"⇉-⫰≮⫘↔10110110010=≮⫘↔10100","layer":2},{"info":"≮⫘↔10001010101↞⋁≮⫘↔11100000100=NaN","layer":3},{"info":"↸⊣NaN=NaN","layer":2},{"info":"≮⫘↔10100⨿NaN=≮⫘↔1111001","layer":1},{"info":"⊲⪭≮⫘↔1111001=≮⫘↔-100100111","layer":0}]}
{"id":698,"expression_no_base_symbol":"⨭⩧⫛(((≤/$5633$)≳⇉(⇜$2213$))≒∊($3721$⨱∎)≚⊃≕($2670$∐⫣))","expression":"⨭⩧⫛(((≤/≮⫘↔1011000000001)≳⇉(⇜≮⫘↔100010100101))≒∊(≮⫘↔111010001001⨱∎)≚⊃≕(≮⫘↔101001101110∐⫣))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36667,"operation_count":8,"complexity_ratio":4583.375,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5633,"base":2}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2213,"base":2}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":3721,"base":2}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2670,"base":2}}}}},"used_operators":["g21JL6JxX7","5KTvxBwnZo","V0kx6qeWkN","eLAdDNolq6","lFBm8KRb8F","Bmrmz2XGnR","MmTdOpaElr","4CyGpkTkEk"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","tifHPKVTfV","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5633","layer":4},{"info":"compute unary expreesion, input=5633, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5149","layer":3},{"info":"number node, value=2213","layer":4},{"info":"compute unary expreesion, input=2213, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-18112","layer":3},{"info":"compute binary expreesion, left_input=-5149, right_input=-18112, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=3721","layer":4},{"info":"compute unary expreesion, input=3721, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=2670","layer":4},{"info":"compute unary expreesion, input=2670, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=551, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-5149","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5149, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨭⩧⫛(((≤/≮⫘↔1011000000001)≳⇉(⇜≮⫘↔100010100101))≒∊(≮⫘↔111010001001⨱∎)≚⊃≕(≮⫘↔101001101110∐⫣))=NaN","reverse_text":"NaN=⨭⩧⫛(((≤/≮⫘↔1011000000001)≳⇉(⇜≮⫘↔100010100101))≒∊(≮⫘↔111010001001⨱∎)≚⊃≕(≮⫘↔101001101110∐⫣))","cot":[{"info":"≤/≮⫘↔1011000000001=≮⫘↔-1010000011101","layer":3},{"info":"⇜≮⫘↔100010100101=≮⫘↔-100011011000000","layer":3},{"info":"≮⫘↔-1010000011101≳⇉≮⫘↔-100011011000000=NaN","layer":2},{"info":"≮⫘↔111010001001⨱∎=≮⫘↔0","layer":3},{"info":"≮⫘↔101001101110∐⫣=≮⫘↔1000100111","layer":3},{"info":"≮⫘↔0≚⊃≕≮⫘↔1000100111=≮⫘↔-1010000011101","layer":2},{"info":"NaN≒∊≮⫘↔-1010000011101=NaN","layer":1},{"info":"⨭⩧⫛NaN=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"(($2527$⪟⇏$1096$⩦($1014$⫉⨲⊜$1020$))↦)⨜⨶(((⊤⊝$3845$)≳⇉($1956$⊾⪯⋞$5184$))⊱⇼⊻($2801$⫞⩸⩒$1004$∀⇚≩$1720$⨸$4411$))","expression":"((≮⫘↔100111011111⪟⇏≮⫘↔10001001000⩦(≮⫘↔1111110110⫉⨲⊜≮⫘↔1111111100))↦)⨜⨶(((⊤⊝≮⫘↔111100000101)≳⇉(≮⫘↔11110100100⊾⪯⋞≮⫘↔1010001000000))⊱⇼⊻(≮⫘↔101011110001⫞⩸⩒≮⫘↔1111101100∀⇚≩≮⫘↔11010111000⨸≮⫘↔1000100111011))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":29043,"operation_count":12,"complexity_ratio":2420.25,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2527,"base":2},"right_expr":{"type":"numeric_atoms","value":1096,"base":2}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1014,"base":2},"right_expr":{"type":"numeric_atoms","value":1020,"base":2}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":3845,"base":2}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1956,"base":2},"right_expr":{"type":"numeric_atoms","value":5184,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2801,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1720,"base":2},"right_expr":{"type":"numeric_atoms","value":4411,"base":2}}}}},"used_operators":["HiPekx5b7W","fFznvYxMfW","0kmYd0q39Y","GODebY97qR","WhqkvtTD3t","FyVja0WsTP","V0kx6qeWkN","rXAclfmB4M","HK0tfVPux8","LRNGc0VcxI","XGcMNugi78","KmoU8R5UQR"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","sdazOOVcIp","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","X99M06cbEe","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2527","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2527, right_input=1096, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=1020, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-2","layer":2},{"info":"compute unary expreesion, input=-2, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-52","layer":1},{"info":"number node, value=3845","layer":4},{"info":"compute unary expreesion, input=3845, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=6392","layer":3},{"info":"number node, value=1956","layer":4},{"info":"number node, value=5184","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=5184, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=9942","layer":3},{"info":"compute binary expreesion, left_input=6392, right_input=9942, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=2801","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=1004, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1004","layer":3},{"info":"number node, value=1720","layer":4},{"info":"number node, value=4411","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=4411, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3440","layer":3},{"info":"compute binary expreesion, left_input=1004, right_input=3440, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-52, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100111011111⪟⇏≮⫘↔10001001000⩦(≮⫘↔1111110110⫉⨲⊜≮⫘↔1111111100))↦)⨜⨶(((⊤⊝≮⫘↔111100000101)≳⇉(≮⫘↔11110100100⊾⪯⋞≮⫘↔1010001000000))⊱⇼⊻(≮⫘↔101011110001⫞⩸⩒≮⫘↔1111101100∀⇚≩≮⫘↔11010111000⨸≮⫘↔1000100111011))=NaN","reverse_text":"NaN=((≮⫘↔100111011111⪟⇏≮⫘↔10001001000⩦(≮⫘↔1111110110⫉⨲⊜≮⫘↔1111111100))↦)⨜⨶(((⊤⊝≮⫘↔111100000101)≳⇉(≮⫘↔11110100100⊾⪯⋞≮⫘↔1010001000000))⊱⇼⊻(≮⫘↔101011110001⫞⩸⩒≮⫘↔1111101100∀⇚≩≮⫘↔11010111000⨸≮⫘↔1000100111011))","cot":[{"info":"≮⫘↔100111011111⪟⇏≮⫘↔10001001000=≮⫘↔-1","layer":3},{"info":"≮⫘↔1111110110⫉⨲⊜≮⫘↔1111111100=≮⫘↔0","layer":3},{"info":"≮⫘↔-1⩦≮⫘↔0=≮⫘↔-10","layer":2},{"info":"≮⫘↔-10↦=≮⫘↔-110100","layer":1},{"info":"⊤⊝≮⫘↔111100000101=≮⫘↔1100011111000","layer":3},{"info":"≮⫘↔11110100100⊾⪯⋞≮⫘↔1010001000000=≮⫘↔10011011010110","layer":3},{"info":"≮⫘↔1100011111000≳⇉≮⫘↔10011011010110=NaN","layer":2},{"info":"≮⫘↔101011110001⫞⩸⩒≮⫘↔1111101100=≮⫘↔1111101100","layer":3},{"info":"≮⫘↔11010111000⨸≮⫘↔1000100111011=≮⫘↔110101110000","layer":3},{"info":"≮⫘↔1111101100∀⇚≩≮⫘↔110101110000=NaN","layer":2},{"info":"NaN⊱⇼⊻NaN=NaN","layer":1},{"info":"≮⫘↔-110100⨜⨶NaN=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"(($3132$%$3103$⫚↹⊑$4203$∘$4195$)⨜⨶(⇖(↥$5825$)))≌($4356$⨟⋌⩍$7722$∀⇚≩$5458$∀⇚≩$5675$⫲≸⪮($1000$⪁$6652$)⫁($1820$∛$3205$))","expression":"((≮⫘↔110000111100%≮⫘↔110000011111⫚↹⊑≮⫘↔1000001101011∘≮⫘↔1000001100011)⨜⨶(⇖(↥≮⫘↔1011011000001)))≌(≮⫘↔1000100000100⨟⋌⩍≮⫘↔1111000101010∀⇚≩≮⫘↔1010101010010∀⇚≩≮⫘↔1011000101011⫲≸⪮(≮⫘↔1111101000⪁≮⫘↔1100111111100)⫁(≮⫘↔11100011100∛≮⫘↔110010000101))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":48329,"operation_count":14,"complexity_ratio":3452.0714285714284,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3132,"base":2},"right_expr":{"type":"numeric_atoms","value":3103,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4203,"base":2},"right_expr":{"type":"numeric_atoms","value":4195,"base":2}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5825,"base":2}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4356,"base":2},"right_expr":{"type":"numeric_atoms","value":7722,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5458,"base":2},"right_expr":{"type":"numeric_atoms","value":5675,"base":2}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1000,"base":2},"right_expr":{"type":"numeric_atoms","value":6652,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1820,"base":2},"right_expr":{"type":"numeric_atoms","value":3205,"base":2}}}}},"used_operators":["lyWz822IDG","HiPekx5b7W","dfKe02y8D2","k8jYdgA6NY","Z5m6OM72h2","tfWHHpNKUN","A8NUZmVepG","P3lXMJvFrc","LRNGc0VcxI","rGHVDoGpnC","0ajvFaJAv0","I7sXao9hZE","w2537kitQq"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","eH2TOUuTDT","rysDP5nf3Z","2DQ55sFlQl","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","X99M06cbEe","Tcnh7f0tEr","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3132","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=3103, op_id = k8jYdgA6NY binary_op_definition= 'None', output=29","layer":3},{"info":"number node, value=4203","layer":4},{"info":"number node, value=4195","layer":4},{"info":"compute binary expreesion, left_input=4203, right_input=4195, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8406","layer":3},{"info":"compute binary expreesion, left_input=29, right_input=8406, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=5825","layer":4},{"info":"compute unary expreesion, input=5825, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":3},{"info":"compute unary expreesion, input=11, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=160, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2727","layer":1},{"info":"number node, value=4356","layer":4},{"info":"number node, value=7722","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=7722, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5458","layer":4},{"info":"number node, value=5675","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=5675, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=6652","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=6652, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1820","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=3205, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2727, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110000111100%≮⫘↔110000011111⫚↹⊑≮⫘↔1000001101011∘≮⫘↔1000001100011)⨜⨶(⇖(↥≮⫘↔1011011000001)))≌(≮⫘↔1000100000100⨟⋌⩍≮⫘↔1111000101010∀⇚≩≮⫘↔1010101010010∀⇚≩≮⫘↔1011000101011⫲≸⪮(≮⫘↔1111101000⪁≮⫘↔1100111111100)⫁(≮⫘↔11100011100∛≮⫘↔110010000101))=NaN","reverse_text":"NaN=((≮⫘↔110000111100%≮⫘↔110000011111⫚↹⊑≮⫘↔1000001101011∘≮⫘↔1000001100011)⨜⨶(⇖(↥≮⫘↔1011011000001)))≌(≮⫘↔1000100000100⨟⋌⩍≮⫘↔1111000101010∀⇚≩≮⫘↔1010101010010∀⇚≩≮⫘↔1011000101011⫲≸⪮(≮⫘↔1111101000⪁≮⫘↔1100111111100)⫁(≮⫘↔11100011100∛≮⫘↔110010000101))","cot":[{"info":"≮⫘↔110000111100%≮⫘↔110000011111=≮⫘↔11101","layer":3},{"info":"≮⫘↔1000001101011∘≮⫘↔1000001100011=≮⫘↔10000011010110","layer":3},{"info":"≮⫘↔11101⫚↹⊑≮⫘↔10000011010110=≮⫘↔-110111111","layer":2},{"info":"↥≮⫘↔1011011000001=≮⫘↔1011","layer":3},{"info":"⇖≮⫘↔1011=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-110111111⨜⨶≮⫘↔10100000=≮⫘↔-101010100111","layer":1},{"info":"≮⫘↔1000100000100⨟⋌⩍≮⫘↔1111000101010=NaN","layer":3},{"info":"≮⫘↔1010101010010∀⇚≩≮⫘↔1011000101011=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"≮⫘↔1111101000⪁≮⫘↔1100111111100=NaN","layer":3},{"info":"≮⫘↔11100011100∛≮⫘↔110010000101=≮⫘↔-1010011110","layer":3},{"info":"NaN⫁≮⫘↔-1010011110=≮⫘↔10100000","layer":2},{"info":"NaN⫲≸⪮≮⫘↔10100000=NaN","layer":1},{"info":"≮⫘↔-101010100111≌NaN=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"↣≠⋷(∂(⨈⫕$1901$)⨿($3403$∛≔))","expression":"↣≠⋷(∂(⨈⫕≮⫘↔11101101101)⨿(≮⫘↔110101001011∛≔))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":171757,"operation_count":5,"complexity_ratio":34351.4,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1901,"base":2}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":3403,"base":2}}}}},"used_operators":["Asc51vEJeQ","Uaa54Peajs","abYXlopdE0","megm06wKyl","mGnSCrte3L"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1901","layer":4},{"info":"compute unary expreesion, input=1901, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=3403","layer":4},{"info":"compute unary expreesion, input=3403, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-inf, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute unary expreesion, input=121, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-385","layer":1},{"info":"compute unary expreesion, input=-385, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↣≠⋷(∂(⨈⫕≮⫘↔11101101101)⨿(≮⫘↔110101001011∛≔))=NaN","reverse_text":"NaN=↣≠⋷(∂(⨈⫕≮⫘↔11101101101)⨿(≮⫘↔110101001011∛≔))","cot":[{"info":"⨈⫕≮⫘↔11101101101=≮⫘↔-10101","layer":3},{"info":"≮⫘↔110101001011∛≔=-Inf","layer":3},{"info":"≮⫘↔-10101⨿-Inf=≮⫘↔1111001","layer":2},{"info":"∂≮⫘↔1111001=≮⫘↔-110000001","layer":1},{"info":"↣≠⋷≮⫘↔-110000001=NaN","layer":0}]}
{"id":702,"expression_no_base_symbol":"((⨣⨃⇪($3312$⊉↱≁$4120$))⩤)⩇∃⫛(⩰($3017$⋹⋡⊁$6572$⫩))","expression":"((⨣⨃⇪(≮⫘↔110011110000⊉↱≁≮⫘↔1000000011000))⩤)⩇∃⫛(⩰(≮⫘↔101111001001⋹⋡⊁≮⫘↔1100110101100⫩))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":69916,"operation_count":7,"complexity_ratio":9988.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3312,"base":2},"right_expr":{"type":"numeric_atoms","value":4120,"base":2}}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3017,"base":2},"right_expr":{"type":"numeric_atoms","value":6572,"base":2}}}}},"used_operators":["1aApVXNlOP","Z2TMIBDE3Q","AcOhelriW5","w2P8NbNXyL","WkeUrDK8WX","6aG7x05OhS","As8RqfVLgs"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","dWAJyo7jo9","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3312","layer":4},{"info":"number node, value=4120","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=4120, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=7286","layer":3},{"info":"compute unary expreesion, input=7286, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute unary expreesion, input=1405, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1405","layer":1},{"info":"number node, value=3017","layer":4},{"info":"number node, value=6572","layer":4},{"info":"compute binary expreesion, left_input=3017, right_input=6572, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7322","layer":3},{"info":"compute unary expreesion, input=7322, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1405, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨣⨃⇪(≮⫘↔110011110000⊉↱≁≮⫘↔1000000011000))⩤)⩇∃⫛(⩰(≮⫘↔101111001001⋹⋡⊁≮⫘↔1100110101100⫩))=NaN","reverse_text":"NaN=((⨣⨃⇪(≮⫘↔110011110000⊉↱≁≮⫘↔1000000011000))⩤)⩇∃⫛(⩰(≮⫘↔101111001001⋹⋡⊁≮⫘↔1100110101100⫩))","cot":[{"info":"≮⫘↔110011110000⊉↱≁≮⫘↔1000000011000=≮⫘↔1110001110110","layer":3},{"info":"⨣⨃⇪≮⫘↔1110001110110=≮⫘↔10101111101","layer":2},{"info":"≮⫘↔10101111101⩤=≮⫘↔-10101111101","layer":1},{"info":"≮⫘↔101111001001⋹⋡⊁≮⫘↔1100110101100=≮⫘↔1110010011010","layer":3},{"info":"≮⫘↔1110010011010⫩=NaN","layer":2},{"info":"⩰NaN=NaN","layer":1},{"info":"≮⫘↔-10101111101⩇∃⫛NaN=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"⊀(($3398$≝⊰⇂)⩧⪆$1484$∀⇚≩$2420$⨭⪣($5313$⨽$2024$⊍⩺⋍$1753$≠≀$3864$))","expression":"⊀((≮⫘↔110101000110≝⊰⇂)⩧⪆≮⫘↔10111001100∀⇚≩≮⫘↔100101110100⨭⪣(≮⫘↔1010011000001⨽≮⫘↔11111101000⊍⩺⋍≮⫘↔11011011001≠≀≮⫘↔111100011000))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17417,"operation_count":8,"complexity_ratio":2177.125,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":3398,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1484,"base":2},"right_expr":{"type":"numeric_atoms","value":2420,"base":2}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5313,"base":2},"right_expr":{"type":"numeric_atoms","value":2024,"base":2}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1753,"base":2},"right_expr":{"type":"numeric_atoms","value":3864,"base":2}}}}},"used_operators":["oPMjh9089D","kn8WO9XteQ","Ikt5ks8PT7","htSmYCowi5","LRNGc0VcxI","OXDGMFPWZM","8HhzD0ZcuI","IwW236VD4Y"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","DlLNRPXxWL","X99M06cbEe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"≮⫘↔-101011010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3398","layer":4},{"info":"compute unary expreesion, input=3398, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=1484","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=2420, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":2},{"info":"number node, value=5313","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=5313, right_input=2024, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-84688665","layer":3},{"info":"number node, value=1753","layer":4},{"info":"number node, value=3864","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=3864, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3200","layer":3},{"info":"compute binary expreesion, left_input=-84688665, right_input=-3200, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=-346","layer":0}],"base":2,"result_base":2,"text":"⊀((≮⫘↔110101000110≝⊰⇂)⩧⪆≮⫘↔10111001100∀⇚≩≮⫘↔100101110100⨭⪣(≮⫘↔1010011000001⨽≮⫘↔11111101000⊍⩺⋍≮⫘↔11011011001≠≀≮⫘↔111100011000))=≮⫘↔-101011010","reverse_text":"≮⫘↔-101011010=⊀((≮⫘↔110101000110≝⊰⇂)⩧⪆≮⫘↔10111001100∀⇚≩≮⫘↔100101110100⨭⪣(≮⫘↔1010011000001⨽≮⫘↔11111101000⊍⩺⋍≮⫘↔11011011001≠≀≮⫘↔111100011000))","cot":[{"info":"≮⫘↔110101000110≝⊰⇂=≮⫘↔0","layer":3},{"info":"≮⫘↔10111001100∀⇚≩≮⫘↔100101110100=NaN","layer":3},{"info":"≮⫘↔0⩧⪆NaN=NaN","layer":2},{"info":"≮⫘↔1010011000001⨽≮⫘↔11111101000=≮⫘↔-101000011000011111100011001","layer":3},{"info":"≮⫘↔11011011001≠≀≮⫘↔111100011000=≮⫘↔-110010000000","layer":3},{"info":"≮⫘↔-101000011000011111100011001⊍⩺⋍≮⫘↔-110010000000=NaN","layer":2},{"info":"NaN⨭⪣NaN=≮⫘↔-10101","layer":1},{"info":"⊀≮⫘↔-10101=≮⫘↔-101011010","layer":0}]}
{"id":704,"expression_no_base_symbol":"(⨆≐≲(($2379$⋩≍≻)⨚⇆($8732$⩺⪪$3700$)))⫚↹⊑((⇉-⫰($4959$⩇∃⫛$2024$))∕⩚(($3239$⨭⪣$4517$)⪣⫩))","expression":"(⨆≐≲((≮⫘↔100101001011⋩≍≻)⨚⇆(≮⫘↔10001000011100⩺⪪≮⫘↔111001110100)))⫚↹⊑((⇉-⫰(≮⫘↔1001101011111⩇∃⫛≮⫘↔11111101000))∕⩚((≮⫘↔110010100111⨭⪣≮⫘↔1000110100101)⪣⫩))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":707,"operation_count":10,"complexity_ratio":70.7,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2379,"base":2}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":8732,"base":2},"right_expr":{"type":"numeric_atoms","value":3700,"base":2}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4959,"base":2},"right_expr":{"type":"numeric_atoms","value":2024,"base":2}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3239,"base":2},"right_expr":{"type":"numeric_atoms","value":4517,"base":2}}}}},"used_operators":["dfKe02y8D2","Bi9z9uYZqW","lwHaAYXP2r","WYd1w68Nbz","uvdQJvN4PV","z9ffQ9n5Zr","IGFM8TAlm9","1aApVXNlOP","iuk5sVOGFA","kn8WO9XteQ"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"≮⫘↔-110111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2379","layer":4},{"info":"compute unary expreesion, input=2379, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=8732","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=8732, right_input=3700, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-81410","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-81410, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"number node, value=4959","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=4959, right_input=2024, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-2462","layer":3},{"info":"compute unary expreesion, input=-2462, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=3239","layer":4},{"info":"number node, value=4517","layer":4},{"info":"compute binary expreesion, left_input=3239, right_input=4517, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1960","layer":3},{"info":"compute unary expreesion, input=1960, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=5847","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=5847, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-23","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=-23, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":2,"result_base":2,"text":"(⨆≐≲((≮⫘↔100101001011⋩≍≻)⨚⇆(≮⫘↔10001000011100⩺⪪≮⫘↔111001110100)))⫚↹⊑((⇉-⫰(≮⫘↔1001101011111⩇∃⫛≮⫘↔11111101000))∕⩚((≮⫘↔110010100111⨭⪣≮⫘↔1000110100101)⪣⫩))=≮⫘↔-110111111","reverse_text":"≮⫘↔-110111111=(⨆≐≲((≮⫘↔100101001011⋩≍≻)⨚⇆(≮⫘↔10001000011100⩺⪪≮⫘↔111001110100)))⫚↹⊑((⇉-⫰(≮⫘↔1001101011111⩇∃⫛≮⫘↔11111101000))∕⩚((≮⫘↔110010100111⨭⪣≮⫘↔1000110100101)⪣⫩))","cot":[{"info":"≮⫘↔100101001011⋩≍≻=≮⫘↔-110111","layer":3},{"info":"≮⫘↔10001000011100⩺⪪≮⫘↔111001110100=≮⫘↔-10011111000000010","layer":3},{"info":"≮⫘↔-110111⨚⇆≮⫘↔-10011111000000010=NaN","layer":2},{"info":"⨆≐≲NaN=≮⫘↔-101001001001100100","layer":1},{"info":"≮⫘↔1001101011111⩇∃⫛≮⫘↔11111101000=≮⫘↔-100110011110","layer":3},{"info":"⇉-⫰≮⫘↔-100110011110=≮⫘↔10100","layer":2},{"info":"≮⫘↔110010100111⨭⪣≮⫘↔1000110100101=≮⫘↔11110101000","layer":3},{"info":"≮⫘↔11110101000⪣⫩=≮⫘↔1011011010111","layer":2},{"info":"≮⫘↔10100∕⩚≮⫘↔1011011010111=≮⫘↔-10111","layer":1},{"info":"≮⫘↔-101001001001100100⫚↹⊑≮⫘↔-10111=≮⫘↔-110111111","layer":0}]}
{"id":705,"expression_no_base_symbol":"⫎≠⋺(($5768$⩌⋺$3165$)⪃⊛⇣($7091$⪇≇⋚$5363$)⋥≓≎(≋$4031$)⩘$1036$⇍⊗$2568$)","expression":"⫎≠⋺((≮⫘↔1011010001000⩌⋺≮⫘↔110001011101)⪃⊛⇣(≮⫘↔1101110110011⪇≇⋚≮⫘↔1010011110011)⋥≓≎(≋≮⫘↔111110111111)⩘≮⫘↔10000001100⇍⊗≮⫘↔101000001000)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":744,"operation_count":8,"complexity_ratio":93.0,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5768,"base":2},"right_expr":{"type":"numeric_atoms","value":3165,"base":2}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":7091,"base":2},"right_expr":{"type":"numeric_atoms","value":5363,"base":2}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":4031,"base":2}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1036,"base":2},"right_expr":{"type":"numeric_atoms","value":2568,"base":2}}}}},"used_operators":["LYeZOJ0nQG","Qy55tPpLXF","rrgAzCduG9","g7Hmc5v1ko","3sJ7IOPOlU","cHh1gJQ2o6","61wBmkZwlr","5uvYHDjeKN"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","7j4O788W3g","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"≮⫘↔-1011000101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5768","layer":4},{"info":"number node, value=3165","layer":4},{"info":"compute binary expreesion, left_input=5768, right_input=3165, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-9054","layer":3},{"info":"number node, value=7091","layer":4},{"info":"number node, value=5363","layer":4},{"info":"compute binary expreesion, left_input=7091, right_input=5363, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9054, right_input=0, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=4031","layer":4},{"info":"compute unary expreesion, input=4031, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4031","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=2568","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=2568, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=4031, right_input=-244, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-881","layer":1},{"info":"compute unary expreesion, input=-881, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":2,"result_base":2,"text":"⫎≠⋺((≮⫘↔1011010001000⩌⋺≮⫘↔110001011101)⪃⊛⇣(≮⫘↔1101110110011⪇≇⋚≮⫘↔1010011110011)⋥≓≎(≋≮⫘↔111110111111)⩘≮⫘↔10000001100⇍⊗≮⫘↔101000001000)=≮⫘↔-1011000101","reverse_text":"≮⫘↔-1011000101=⫎≠⋺((≮⫘↔1011010001000⩌⋺≮⫘↔110001011101)⪃⊛⇣(≮⫘↔1101110110011⪇≇⋚≮⫘↔1010011110011)⋥≓≎(≋≮⫘↔111110111111)⩘≮⫘↔10000001100⇍⊗≮⫘↔101000001000)","cot":[{"info":"≮⫘↔1011010001000⩌⋺≮⫘↔110001011101=≮⫘↔-10001101011110","layer":3},{"info":"≮⫘↔1101110110011⪇≇⋚≮⫘↔1010011110011=≮⫘↔0","layer":3},{"info":"≮⫘↔-10001101011110⪃⊛⇣≮⫘↔0=≮⫘↔10011010010","layer":2},{"info":"≋≮⫘↔111110111111=≮⫘↔111110111111","layer":3},{"info":"≮⫘↔10000001100⇍⊗≮⫘↔101000001000=≮⫘↔-11110100","layer":3},{"info":"≮⫘↔111110111111⩘≮⫘↔-11110100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10011010010⋥≓≎≮⫘↔10100000=≮⫘↔-1101110001","layer":1},{"info":"⫎≠⋺≮⫘↔-1101110001=≮⫘↔-1011000101","layer":0}]}
{"id":706,"expression_no_base_symbol":"(($3110$≎⊠⪸$1270$+$1846$⋥≓≎$2055$)⇷($2009$⋛$7397$)⫗⊷⫓($4304$∠⫱$8181$))⩣⫁∢(⨈⪑(($4693$∙⊟$8462$)↓⨍⋜))","expression":"((≮⫘↔110000100110≎⊠⪸≮⫘↔10011110110+≮⫘↔11100110110⋥≓≎≮⫘↔100000000111)⇷(≮⫘↔11111011001⋛≮⫘↔1110011100101)⫗⊷⫓(≮⫘↔1000011010000∠⫱≮⫘↔1111111110101))⩣⫁∢(⨈⪑((≮⫘↔1001001010101∙⊟≮⫘↔10000100001110)↓⨍⋜))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":93225,"operation_count":11,"complexity_ratio":8475.0,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3110,"base":2},"right_expr":{"type":"numeric_atoms","value":1270,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1846,"base":2},"right_expr":{"type":"numeric_atoms","value":2055,"base":2}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2009,"base":2},"right_expr":{"type":"numeric_atoms","value":7397,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4304,"base":2},"right_expr":{"type":"numeric_atoms","value":8181,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4693,"base":2},"right_expr":{"type":"numeric_atoms","value":8462,"base":2}}}}},"used_operators":["JDUIKTTSIa","mp7IySMOzn","W4YGzv6Whe","bJkvcejdHO","Qy55tPpLXF","zashukvMKz","YbUVn0Rbpy","QvoQhV0rrE","mp94q5OcYM","3DVzLFNsE9","SxTAKzQCrw"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3110","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=1270, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=805017","layer":3},{"info":"number node, value=1846","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=2055, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2297","layer":3},{"info":"compute binary expreesion, left_input=805017, right_input=2297, op_id = W4YGzv6Whe binary_op_definition= 'None', output=807314","layer":2},{"info":"number node, value=2009","layer":4},{"info":"number node, value=7397","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=7397, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-114111","layer":3},{"info":"number node, value=4304","layer":4},{"info":"number node, value=8181","layer":4},{"info":"compute binary expreesion, left_input=4304, right_input=8181, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-114111, right_input=1234, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=807314, right_input=-134, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=4693","layer":4},{"info":"number node, value=8462","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=8462, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=70855","layer":3},{"info":"compute unary expreesion, input=70855, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":2},{"info":"compute unary expreesion, input=6590, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110000100110≎⊠⪸≮⫘↔10011110110+≮⫘↔11100110110⋥≓≎≮⫘↔100000000111)⇷(≮⫘↔11111011001⋛≮⫘↔1110011100101)⫗⊷⫓(≮⫘↔1000011010000∠⫱≮⫘↔1111111110101))⩣⫁∢(⨈⪑((≮⫘↔1001001010101∙⊟≮⫘↔10000100001110)↓⨍⋜))=NaN","reverse_text":"NaN=((≮⫘↔110000100110≎⊠⪸≮⫘↔10011110110+≮⫘↔11100110110⋥≓≎≮⫘↔100000000111)⇷(≮⫘↔11111011001⋛≮⫘↔1110011100101)⫗⊷⫓(≮⫘↔1000011010000∠⫱≮⫘↔1111111110101))⩣⫁∢(⨈⪑((≮⫘↔1001001010101∙⊟≮⫘↔10000100001110)↓⨍⋜))","cot":[{"info":"≮⫘↔110000100110≎⊠⪸≮⫘↔10011110110=≮⫘↔11000100100010011001","layer":3},{"info":"≮⫘↔11100110110⋥≓≎≮⫘↔100000000111=≮⫘↔100011111001","layer":3},{"info":"≮⫘↔11000100100010011001+≮⫘↔100011111001=≮⫘↔11000101000110010010","layer":2},{"info":"≮⫘↔11111011001⋛≮⫘↔1110011100101=≮⫘↔-11011110110111111","layer":3},{"info":"≮⫘↔1000011010000∠⫱≮⫘↔1111111110101=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-11011110110111111⫗⊷⫓≮⫘↔10011010010=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔11000101000110010010⇷≮⫘↔-10000110=NaN","layer":1},{"info":"≮⫘↔1001001010101∙⊟≮⫘↔10000100001110=≮⫘↔10001010011000111","layer":3},{"info":"≮⫘↔10001010011000111↓⨍⋜=≮⫘↔1100110111110","layer":2},{"info":"⨈⪑≮⫘↔1100110111110=≮⫘↔1101100100","layer":1},{"info":"NaN⩣⫁∢≮⫘↔1101100100=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"⩦⩻⨪((⨡↴$1319$)∽$1981$⇷$3108$)⪛⫼(⫟($2646$≫≃))","expression":"⩦⩻⨪((⨡↴≮⫘↔10100100111)∽≮⫘↔11110111101⇷≮⫘↔110000100100)⪛⫼(⫟(≮⫘↔101001010110≫≃))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":28486,"operation_count":7,"complexity_ratio":4069.4285714285716,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1319,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1981,"base":2},"right_expr":{"type":"numeric_atoms","value":3108,"base":2}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2646,"base":2}}}}},"used_operators":["2td37pGCOC","hyuBjUqXlG","y4ImoPnbV5","liw5iZPkLH","mp7IySMOzn","z4E1FaHLuy","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"≮⫘↔-11001001001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"compute unary expreesion, input=1319, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2368","layer":3},{"info":"number node, value=1981","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=3108, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6216","layer":3},{"info":"compute binary expreesion, left_input=2368, right_input=6216, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-30310","layer":2},{"info":"number node, value=2646","layer":4},{"info":"compute unary expreesion, input=2646, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6693","layer":3},{"info":"compute unary expreesion, input=6693, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-19172","layer":2},{"info":"compute binary expreesion, left_input=-30310, right_input=-19172, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1609","layer":1},{"info":"compute unary expreesion, input=-1609, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1609","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪((⨡↴≮⫘↔10100100111)∽≮⫘↔11110111101⇷≮⫘↔110000100100)⪛⫼(⫟(≮⫘↔101001010110≫≃))=≮⫘↔-11001001001","reverse_text":"≮⫘↔-11001001001=⩦⩻⨪((⨡↴≮⫘↔10100100111)∽≮⫘↔11110111101⇷≮⫘↔110000100100)⪛⫼(⫟(≮⫘↔101001010110≫≃))","cot":[{"info":"⨡↴≮⫘↔10100100111=≮⫘↔100101000000","layer":3},{"info":"≮⫘↔11110111101⇷≮⫘↔110000100100=≮⫘↔1100001001000","layer":3},{"info":"≮⫘↔100101000000∽≮⫘↔1100001001000=≮⫘↔-111011001100110","layer":2},{"info":"≮⫘↔101001010110≫≃=≮⫘↔1101000100101","layer":3},{"info":"⫟≮⫘↔1101000100101=≮⫘↔-100101011100100","layer":2},{"info":"≮⫘↔-111011001100110⪛⫼≮⫘↔-100101011100100=≮⫘↔-11001001001","layer":1},{"info":"⩦⩻⨪≮⫘↔-11001001001=≮⫘↔-11001001001","layer":0}]}
{"id":708,"expression_no_base_symbol":"($5870$↼⊘⨖$2753$)⋹⋡⊁($2039$⊋$3499$)⪪(($1983$⋛$7180$)⫿)⨟⋌⩍((($1074$⊎←↗)↠)⊚⫡⫭)","expression":"(≮⫘↔1011011101110↼⊘⨖≮⫘↔101011000001)⋹⋡⊁(≮⫘↔11111110111⊋≮⫘↔110110101011)⪪((≮⫘↔11110111111⋛≮⫘↔1110000001100)⫿)⨟⋌⩍(((≮⫘↔10000110010⊎←↗)↠)⊚⫡⫭)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":130951,"operation_count":10,"complexity_ratio":13095.1,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5870,"base":2},"right_expr":{"type":"numeric_atoms","value":2753,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2039,"base":2},"right_expr":{"type":"numeric_atoms","value":3499,"base":2}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1983,"base":2},"right_expr":{"type":"numeric_atoms","value":7180,"base":2}}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":1074,"base":2}}}}},"used_operators":["rGHVDoGpnC","xD69zh8xqp","As8RqfVLgs","bPywburJMS","W4tP9CfskL","9tKT6PmtkH","YbUVn0Rbpy","SpZWOsLKZJ","LBdsKIvxzf","dwb5p0fa6d"],"dependent_operators":["Tcnh7f0tEr","FU0Cs4j7VP","JclMnS0uGI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","sdazOOVcIp","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5870","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=5870, right_input=2753, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5284","layer":3},{"info":"number node, value=2039","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=2039, right_input=3499, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-38861508","layer":3},{"info":"compute binary expreesion, left_input=5284, right_input=-38861508, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=42010","layer":2},{"info":"number node, value=1983","layer":4},{"info":"number node, value=7180","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=7180, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-114345","layer":3},{"info":"compute unary expreesion, input=-114345, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=228690","layer":2},{"info":"compute binary expreesion, left_input=42010, right_input=228690, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6339599","layer":1},{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-1463","layer":3},{"info":"compute unary expreesion, input=-1463, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6339599, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1011011101110↼⊘⨖≮⫘↔101011000001)⋹⋡⊁(≮⫘↔11111110111⊋≮⫘↔110110101011)⪪((≮⫘↔11110111111⋛≮⫘↔1110000001100)⫿)⨟⋌⩍(((≮⫘↔10000110010⊎←↗)↠)⊚⫡⫭)=NaN","reverse_text":"NaN=(≮⫘↔1011011101110↼⊘⨖≮⫘↔101011000001)⋹⋡⊁(≮⫘↔11111110111⊋≮⫘↔110110101011)⪪((≮⫘↔11110111111⋛≮⫘↔1110000001100)⫿)⨟⋌⩍(((≮⫘↔10000110010⊎←↗)↠)⊚⫡⫭)","cot":[{"info":"≮⫘↔1011011101110↼⊘⨖≮⫘↔101011000001=≮⫘↔1010010100100","layer":3},{"info":"≮⫘↔11111110111⊋≮⫘↔110110101011=≮⫘↔-10010100001111101011000100","layer":3},{"info":"≮⫘↔1010010100100⋹⋡⊁≮⫘↔-10010100001111101011000100=≮⫘↔1010010000011010","layer":2},{"info":"≮⫘↔11110111111⋛≮⫘↔1110000001100=≮⫘↔-11011111010101001","layer":3},{"info":"≮⫘↔-11011111010101001⫿=≮⫘↔110111110101010010","layer":2},{"info":"≮⫘↔1010010000011010⪪≮⫘↔110111110101010010=≮⫘↔-11000001011110000001111","layer":1},{"info":"≮⫘↔10000110010⊎←↗=≮⫘↔-10110110111","layer":3},{"info":"≮⫘↔-10110110111↠=NaN","layer":2},{"info":"NaN⊚⫡⫭=NaN","layer":1},{"info":"≮⫘↔-11000001011110000001111⨟⋌⩍NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"≉($1290$⫯⪬∳$1556$≭$1788$⫯⪬∳$1359$⫔⩽⩺(⩦⊞$1013$≁$2030$))","expression":"≉(≮⫘↔10100001010⫯⪬∳≮⫘↔11000010100≭≮⫘↔11011111100⫯⪬∳≮⫘↔10101001111⫔⩽⩺(⩦⊞≮⫘↔1111110101≁≮⫘↔11111101110))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":129,"operation_count":7,"complexity_ratio":18.428571428571427,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1290,"base":2},"right_expr":{"type":"numeric_atoms","value":1556,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1788,"base":2},"right_expr":{"type":"numeric_atoms","value":1359,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1013,"base":2},"right_expr":{"type":"numeric_atoms","value":2030,"base":2}}}}},"used_operators":["e1ybzncUwg","i9eR4S00cU","rxpJgHHUmx","d7ASUq0ydm","u7fv1HBiaC","8N2wDY1A35"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","AHs5Up7iyr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=1556, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4927","layer":3},{"info":"number node, value=1788","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1359, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7614","layer":3},{"info":"compute binary expreesion, left_input=4927, right_input=7614, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=2030, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=35519","layer":3},{"info":"compute unary expreesion, input=35519, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-35246","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-35246, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≉(≮⫘↔10100001010⫯⪬∳≮⫘↔11000010100≭≮⫘↔11011111100⫯⪬∳≮⫘↔10101001111⫔⩽⩺(⩦⊞≮⫘↔1111110101≁≮⫘↔11111101110))=NaN","reverse_text":"NaN=≉(≮⫘↔10100001010⫯⪬∳≮⫘↔11000010100≭≮⫘↔11011111100⫯⪬∳≮⫘↔10101001111⫔⩽⩺(⩦⊞≮⫘↔1111110101≁≮⫘↔11111101110))","cot":[{"info":"≮⫘↔10100001010⫯⪬∳≮⫘↔11000010100=≮⫘↔1001100111111","layer":3},{"info":"≮⫘↔11011111100⫯⪬∳≮⫘↔10101001111=≮⫘↔1110110111110","layer":3},{"info":"≮⫘↔1001100111111≭≮⫘↔1110110111110=NaN","layer":2},{"info":"≮⫘↔1111110101≁≮⫘↔11111101110=≮⫘↔1000101010111111","layer":3},{"info":"⩦⊞≮⫘↔1000101010111111=≮⫘↔-1000100110101110","layer":2},{"info":"NaN⫔⩽⩺≮⫘↔-1000100110101110=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"(⊗$1441$)∼($1492$⪒$4919$)⪭($1024$⪛⫼$1891$)⫘(⊵⊁$3679$)⊭∹↮","expression":"(⊗≮⫘↔10110100001)∼(≮⫘↔10111010100⪒≮⫘↔1001100110111)⪭(≮⫘↔10000000000⪛⫼≮⫘↔11101100011)⫘(⊵⊁≮⫘↔111001011111)⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1404,"operation_count":8,"complexity_ratio":175.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1441,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1492,"base":2},"right_expr":{"type":"numeric_atoms","value":4919,"base":2}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1024,"base":2},"right_expr":{"type":"numeric_atoms","value":1891,"base":2}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3679,"base":2}}}}},"used_operators":["xNBdhnnwKq","j9kHMeSvPp","DyGG3AbaNP","RhiyfpczSx","f6k1SAg4EE","48vC8HMD2b","hyuBjUqXlG","AvED76WdY7"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","COABgblf1C","xUOZtlo3hN","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","uBihLCJcMX","k8jYdgA6NY"],"result":"≮⫘↔101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2882","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=4919","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=4919, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6411","layer":3},{"info":"compute binary expreesion, left_input=-2882, right_input=-6411, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1891, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=3679","layer":4},{"info":"compute unary expreesion, input=3679, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=21004","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=21004, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1142773","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1142773, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute unary expreesion, input=5, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5","layer":0}],"base":2,"result_base":2,"text":"(⊗≮⫘↔10110100001)∼(≮⫘↔10111010100⪒≮⫘↔1001100110111)⪭(≮⫘↔10000000000⪛⫼≮⫘↔11101100011)⫘(⊵⊁≮⫘↔111001011111)⊭∹↮=≮⫘↔101","reverse_text":"≮⫘↔101=(⊗≮⫘↔10110100001)∼(≮⫘↔10111010100⪒≮⫘↔1001100110111)⪭(≮⫘↔10000000000⪛⫼≮⫘↔11101100011)⫘(⊵⊁≮⫘↔111001011111)⊭∹↮","cot":[{"info":"⊗≮⫘↔10110100001=≮⫘↔-101101000010","layer":3},{"info":"≮⫘↔10111010100⪒≮⫘↔1001100110111=≮⫘↔-1100100001011","layer":3},{"info":"≮⫘↔-101101000010∼≮⫘↔-1100100001011=NaN","layer":2},{"info":"≮⫘↔10000000000⪛⫼≮⫘↔11101100011=≮⫘↔1111001000","layer":3},{"info":"⊵⊁≮⫘↔111001011111=≮⫘↔101001000001100","layer":3},{"info":"≮⫘↔1111001000⫘≮⫘↔101001000001100=≮⫘↔100010110111111110101","layer":2},{"info":"NaN⪭≮⫘↔100010110111111110101=≮⫘↔101","layer":1},{"info":"≮⫘↔101⊭∹↮=≮⫘↔101","layer":0}]}
{"id":711,"expression_no_base_symbol":"((($7548$⪶≀⋏$4377$)⪚⩙≫)∪⫐($1704$⩁⩘$1252$)⩁⩘(⇘$4255$))⊔($1464$⩖⊿$5542$⋥≓≎$2396$⊮⊟↴$1692$)⨸($2356$≝⊿$1209$+⇶⊼($3458$↓⨍⋜))","expression":"(((≮⫘↔1110101111100⪶≀⋏≮⫘↔1000100011001)⪚⩙≫)∪⫐(≮⫘↔11010101000⩁⩘≮⫘↔10011100100)⩁⩘(⇘≮⫘↔1000010011111))⊔(≮⫘↔10110111000⩖⊿≮⫘↔1010110100110⋥≓≎≮⫘↔100101011100⊮⊟↴≮⫘↔11010011100)⨸(≮⫘↔100100110100≝⊿≮⫘↔10010111001+⇶⊼(≮⫘↔110110000010↓⨍⋜))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":47471,"operation_count":14,"complexity_ratio":3390.785714285714,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":7548,"base":2},"right_expr":{"type":"numeric_atoms","value":4377,"base":2}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1704,"base":2},"right_expr":{"type":"numeric_atoms","value":1252,"base":2}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":4255,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1464,"base":2},"right_expr":{"type":"numeric_atoms","value":5542,"base":2}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2396,"base":2},"right_expr":{"type":"numeric_atoms","value":1692,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2356,"base":2},"right_expr":{"type":"numeric_atoms","value":1209,"base":2}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":3458,"base":2}}}}},"used_operators":["E4l6HwMY31","7YooWSwCyH","4n53wtyJvv","zR4jO40bMj","gub5Cegaqo","MGuIdZPyUC","KmoU8R5UQR","Qy55tPpLXF","RZ5CV9rWsJ","QDVgd2eftb","TpPTUOHfaN","OKKcZfAt5B","3DVzLFNsE9"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","IWmyXbctLI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","AHs5Up7iyr","12rbrZMWeM","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7548","layer":4},{"info":"number node, value=4377","layer":4},{"info":"compute binary expreesion, left_input=7548, right_input=4377, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-31630","layer":3},{"info":"compute unary expreesion, input=-31630, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"number node, value=1704","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=1252, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5956","layer":3},{"info":"number node, value=4255","layer":4},{"info":"compute unary expreesion, input=4255, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=249682","layer":3},{"info":"compute binary expreesion, left_input=5956, right_input=249682, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=999676","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=999676, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"number node, value=1464","layer":4},{"info":"number node, value=5542","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=5542, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=38398","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=1692, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=38398, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-38365","layer":2},{"info":"number node, value=2356","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=1209, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5307","layer":3},{"info":"number node, value=3458","layer":4},{"info":"compute unary expreesion, input=3458, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=-5307, right_input=6590, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-38365, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=76730","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=76730, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1110101111100⪶≀⋏≮⫘↔1000100011001)⪚⩙≫)∪⫐(≮⫘↔11010101000⩁⩘≮⫘↔10011100100)⩁⩘(⇘≮⫘↔1000010011111))⊔(≮⫘↔10110111000⩖⊿≮⫘↔1010110100110⋥≓≎≮⫘↔100101011100⊮⊟↴≮⫘↔11010011100)⨸(≮⫘↔100100110100≝⊿≮⫘↔10010111001+⇶⊼(≮⫘↔110110000010↓⨍⋜))=NaN","reverse_text":"NaN=(((≮⫘↔1110101111100⪶≀⋏≮⫘↔1000100011001)⪚⩙≫)∪⫐(≮⫘↔11010101000⩁⩘≮⫘↔10011100100)⩁⩘(⇘≮⫘↔1000010011111))⊔(≮⫘↔10110111000⩖⊿≮⫘↔1010110100110⋥≓≎≮⫘↔100101011100⊮⊟↴≮⫘↔11010011100)⨸(≮⫘↔100100110100≝⊿≮⫘↔10010111001+⇶⊼(≮⫘↔110110000010↓⨍⋜))","cot":[{"info":"≮⫘↔1110101111100⪶≀⋏≮⫘↔1000100011001=≮⫘↔-111101110001110","layer":3},{"info":"≮⫘↔-111101110001110⪚⩙≫=NaN","layer":2},{"info":"≮⫘↔11010101000⩁⩘≮⫘↔10011100100=≮⫘↔1011101000100","layer":3},{"info":"⇘≮⫘↔1000010011111=≮⫘↔111100111101010010","layer":3},{"info":"≮⫘↔1011101000100⩁⩘≮⫘↔111100111101010010=≮⫘↔11110100000011111100","layer":2},{"info":"NaN∪⫐≮⫘↔11110100000011111100=NaN","layer":1},{"info":"≮⫘↔10110111000⩖⊿≮⫘↔1010110100110=≮⫘↔1001010111111110","layer":3},{"info":"≮⫘↔100101011100⊮⊟↴≮⫘↔11010011100=≮⫘↔0","layer":3},{"info":"≮⫘↔1001010111111110⋥≓≎≮⫘↔0=≮⫘↔-1001010111011101","layer":2},{"info":"≮⫘↔100100110100≝⊿≮⫘↔10010111001=≮⫘↔-1010010111011","layer":3},{"info":"≮⫘↔110110000010↓⨍⋜=≮⫘↔1100110111110","layer":3},{"info":"≮⫘↔-1010010111011+⇶⊼≮⫘↔1100110111110=NaN","layer":2},{"info":"≮⫘↔-1001010111011101⨸NaN=≮⫘↔10010101110111010","layer":1},{"info":"NaN⊔≮⫘↔10010101110111010=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"(($2207$⨁⊸⫻)⫣⪄⊒($6122$⫣⪄⊒$1151$)⇗⋫)≥⨤⩑($2183$∷$6010$)⫘($1385$≧⫂∧$1431$)∀⇚≩($4527$⨻⩈⩔$1328$⋭≵$1300$⫸⊐$2402$)","expression":"((≮⫘↔100010011111⨁⊸⫻)⫣⪄⊒(≮⫘↔1011111101010⫣⪄⊒≮⫘↔10001111111)⇗⋫)≥⨤⩑(≮⫘↔100010000111∷≮⫘↔1011101111010)⫘(≮⫘↔10101101001≧⫂∧≮⫘↔10110010111)∀⇚≩(≮⫘↔1000110101111⨻⩈⩔≮⫘↔10100110000⋭≵≮⫘↔10100010100⫸⊐≮⫘↔100101100010)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6511,"operation_count":12,"complexity_ratio":542.5833333333334,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2207,"base":2}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6122,"base":2},"right_expr":{"type":"numeric_atoms","value":1151,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2183,"base":2},"right_expr":{"type":"numeric_atoms","value":6010,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1385,"base":2},"right_expr":{"type":"numeric_atoms","value":1431,"base":2}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4527,"base":2},"right_expr":{"type":"numeric_atoms","value":1328,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1300,"base":2},"right_expr":{"type":"numeric_atoms","value":2402,"base":2}}}}},"used_operators":["gJLn6v0xnP","hpqmaQFPrd","RabNbG55vr","glklzrTFfD","LRNGc0VcxI","48vC8HMD2b","D3AQDKkPcf","Ph9nP6C5qx","jBncVCNhdl","nEsXyWgiOK","mqXw5SEYmG"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rxpJgHHUmx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2207","layer":3},{"info":"number node, value=6122","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=6122, right_input=1151, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-2908","layer":3},{"info":"compute binary expreesion, left_input=2207, right_input=-2908, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"number node, value=2183","layer":4},{"info":"number node, value=6010","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=6010, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6010","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1431, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=958","layer":3},{"info":"compute binary expreesion, left_input=6010, right_input=958, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7072165","layer":2},{"info":"number node, value=4527","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=1328, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=27815","layer":3},{"info":"number node, value=1300","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=2402, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9483","layer":3},{"info":"compute binary expreesion, left_input=27815, right_input=9483, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=7072165, right_input=67, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100010011111⨁⊸⫻)⫣⪄⊒(≮⫘↔1011111101010⫣⪄⊒≮⫘↔10001111111)⇗⋫)≥⨤⩑(≮⫘↔100010000111∷≮⫘↔1011101111010)⫘(≮⫘↔10101101001≧⫂∧≮⫘↔10110010111)∀⇚≩(≮⫘↔1000110101111⨻⩈⩔≮⫘↔10100110000⋭≵≮⫘↔10100010100⫸⊐≮⫘↔100101100010)=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((≮⫘↔100010011111⨁⊸⫻)⫣⪄⊒(≮⫘↔1011111101010⫣⪄⊒≮⫘↔10001111111)⇗⋫)≥⨤⩑(≮⫘↔100010000111∷≮⫘↔1011101111010)⫘(≮⫘↔10101101001≧⫂∧≮⫘↔10110010111)∀⇚≩(≮⫘↔1000110101111⨻⩈⩔≮⫘↔10100110000⋭≵≮⫘↔10100010100⫸⊐≮⫘↔100101100010)","cot":[{"info":"≮⫘↔100010011111⨁⊸⫻=≮⫘↔100010011111","layer":3},{"info":"≮⫘↔1011111101010⫣⪄⊒≮⫘↔10001111111=≮⫘↔-101101011100","layer":3},{"info":"≮⫘↔100010011111⫣⪄⊒≮⫘↔-101101011100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10100000⇗⋫=NaN","layer":1},{"info":"≮⫘↔100010000111∷≮⫘↔1011101111010=≮⫘↔1011101111010","layer":3},{"info":"≮⫘↔10101101001≧⫂∧≮⫘↔10110010111=≮⫘↔1110111110","layer":3},{"info":"≮⫘↔1011101111010⫘≮⫘↔1110111110=≮⫘↔11010111110100110100101","layer":2},{"info":"≮⫘↔1000110101111⨻⩈⩔≮⫘↔10100110000=≮⫘↔110110010100111","layer":3},{"info":"≮⫘↔10100010100⫸⊐≮⫘↔100101100010=≮⫘↔10010100001011","layer":3},{"info":"≮⫘↔110110010100111⋭≵≮⫘↔10010100001011=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11010111110100110100101∀⇚≩≮⫘↔1000011=NaN","layer":1},{"info":"NaN≥⨤⩑NaN=≮⫘↔10011010010","layer":0}]}
{"id":713,"expression_no_base_symbol":"⨈⫕($1505$∠↢$6206$)⊬⨰($3317$≭$2685$)⇴($1017$⇤$4510$⪉⨛($2157$⨵⪆$3521$))","expression":"⨈⫕(≮⫘↔10111100001∠↢≮⫘↔1100000111110)⊬⨰(≮⫘↔110011110101≭≮⫘↔101001111101)⇴(≮⫘↔1111111001⇤≮⫘↔1000110011110⪉⨛(≮⫘↔100001101101⨵⪆≮⫘↔110111000001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":463,"operation_count":8,"complexity_ratio":57.875,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1505,"base":2},"right_expr":{"type":"numeric_atoms","value":6206,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3317,"base":2},"right_expr":{"type":"numeric_atoms","value":2685,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1017,"base":2},"right_expr":{"type":"numeric_atoms","value":4510,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2157,"base":2},"right_expr":{"type":"numeric_atoms","value":3521,"base":2}}}}},"used_operators":["megm06wKyl","4JB6nKBMSY","s3Fd5m9Dh2","KbjG8mgYpV","rxpJgHHUmx","EWw2JM7wp4","YSKBFp38Pu","2DQ55sFlQl"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","NTOWxs364D","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","AHs5Up7iyr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1505","layer":4},{"info":"number node, value=6206","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=6206, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-91822","layer":3},{"info":"number node, value=3317","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=3317, right_input=2685, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-91822, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"number node, value=1017","layer":4},{"info":"number node, value=4510","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=4510, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-24787","layer":3},{"info":"number node, value=2157","layer":4},{"info":"number node, value=3521","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=3521, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-24787, right_input=160, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-74626","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-74626, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕(≮⫘↔10111100001∠↢≮⫘↔1100000111110)⊬⨰(≮⫘↔110011110101≭≮⫘↔101001111101)⇴(≮⫘↔1111111001⇤≮⫘↔1000110011110⪉⨛(≮⫘↔100001101101⨵⪆≮⫘↔110111000001))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕(≮⫘↔10111100001∠↢≮⫘↔1100000111110)⊬⨰(≮⫘↔110011110101≭≮⫘↔101001111101)⇴(≮⫘↔1111111001⇤≮⫘↔1000110011110⪉⨛(≮⫘↔100001101101⨵⪆≮⫘↔110111000001))","cot":[{"info":"≮⫘↔10111100001∠↢≮⫘↔1100000111110=≮⫘↔-10110011010101110","layer":3},{"info":"≮⫘↔110011110101≭≮⫘↔101001111101=NaN","layer":3},{"info":"≮⫘↔-10110011010101110⊬⨰NaN=NaN","layer":2},{"info":"≮⫘↔1111111001⇤≮⫘↔1000110011110=≮⫘↔-110000011010011","layer":3},{"info":"≮⫘↔100001101101⨵⪆≮⫘↔110111000001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-110000011010011⪉⨛≮⫘↔10100000=≮⫘↔-10010001110000010","layer":2},{"info":"NaN⇴≮⫘↔-10010001110000010=NaN","layer":1},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":0}]}
{"id":714,"expression_no_base_symbol":"($3352$⪇≇⋚$2479$)⨑⩅≇(∟⋨$1090$)⨑⩅≇($2471$⪃⊛⇣$2706$)⪃⊛⇣($3693$⨔⇊$2094$)⪛⫼(($2145$⫡⨏$2111$)⪄(⨝⨆$3723$))≨($4044$⊱⇼⊻$1541$⨐⩸⫘(∤$6288$))","expression":"(≮⫘↔110100011000⪇≇⋚≮⫘↔100110101111)⨑⩅≇(∟⋨≮⫘↔10001000010)⨑⩅≇(≮⫘↔100110100111⪃⊛⇣≮⫘↔101010010010)⪃⊛⇣(≮⫘↔111001101101⨔⇊≮⫘↔100000101110)⪛⫼((≮⫘↔100001100001⫡⨏≮⫘↔100000111111)⪄(⨝⨆≮⫘↔111010001011))≨(≮⫘↔111111001100⊱⇼⊻≮⫘↔11000000101⨐⩸⫘(∤≮⫘↔1100010010000))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14034350,"operation_count":15,"complexity_ratio":935623.3333333334,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3352,"base":2},"right_expr":{"type":"numeric_atoms","value":2479,"base":2}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1090,"base":2}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2471,"base":2},"right_expr":{"type":"numeric_atoms","value":2706,"base":2}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3693,"base":2},"right_expr":{"type":"numeric_atoms","value":2094,"base":2}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2145,"base":2},"right_expr":{"type":"numeric_atoms","value":2111,"base":2}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":3723,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4044,"base":2},"right_expr":{"type":"numeric_atoms","value":1541,"base":2}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":6288,"base":2}}}}},"used_operators":["hyuBjUqXlG","h92wMvzauj","3sJ7IOPOlU","ctOc4cKSDt","rrgAzCduG9","JclMnS0uGI","0KMCeP1Jsh","SUmda5xLS4","QMFrweE19q","bQ67fsrMVf","fu6greOZ01","FyVja0WsTP","k2HlF1dBQh"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","tmPS8pqC7x","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","3ViojmjbAp","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"≮⫘↔1111001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3352","layer":4},{"info":"number node, value=2479","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=2479, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-606","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-606, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":2},{"info":"number node, value=2471","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=2706, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=3693","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=2094, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2094","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2094, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":1},{"info":"number node, value=2145","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=2111, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15730","layer":3},{"info":"number node, value=3723","layer":4},{"info":"compute unary expreesion, input=3723, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3514","layer":3},{"info":"compute binary expreesion, left_input=15730, right_input=3514, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2338185","layer":2},{"info":"number node, value=4044","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=4044, right_input=1541, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=6288","layer":4},{"info":"compute unary expreesion, input=6288, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=9, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-12","layer":2},{"info":"compute binary expreesion, left_input=-2338185, right_input=-12, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=4677026","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4677026, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110100011000⪇≇⋚≮⫘↔100110101111)⨑⩅≇(∟⋨≮⫘↔10001000010)⨑⩅≇(≮⫘↔100110100111⪃⊛⇣≮⫘↔101010010010)⪃⊛⇣(≮⫘↔111001101101⨔⇊≮⫘↔100000101110)⪛⫼((≮⫘↔100001100001⫡⨏≮⫘↔100000111111)⪄(⨝⨆≮⫘↔111010001011))≨(≮⫘↔111111001100⊱⇼⊻≮⫘↔11000000101⨐⩸⫘(∤≮⫘↔1100010010000))=≮⫘↔1111001000","reverse_text":"≮⫘↔1111001000=(≮⫘↔110100011000⪇≇⋚≮⫘↔100110101111)⨑⩅≇(∟⋨≮⫘↔10001000010)⨑⩅≇(≮⫘↔100110100111⪃⊛⇣≮⫘↔101010010010)⪃⊛⇣(≮⫘↔111001101101⨔⇊≮⫘↔100000101110)⪛⫼((≮⫘↔100001100001⫡⨏≮⫘↔100000111111)⪄(⨝⨆≮⫘↔111010001011))≨(≮⫘↔111111001100⊱⇼⊻≮⫘↔11000000101⨐⩸⫘(∤≮⫘↔1100010010000))","cot":[{"info":"≮⫘↔110100011000⪇≇⋚≮⫘↔100110101111=≮⫘↔0","layer":3},{"info":"∟⋨≮⫘↔10001000010=≮⫘↔-1001011110","layer":3},{"info":"≮⫘↔0⨑⩅≇≮⫘↔-1001011110=≮⫘↔0","layer":2},{"info":"≮⫘↔100110100111⪃⊛⇣≮⫘↔101010010010=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔111001101101⨔⇊≮⫘↔100000101110=≮⫘↔100000101110","layer":3},{"info":"≮⫘↔10011010010⪃⊛⇣≮⫘↔100000101110=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔0⨑⩅≇≮⫘↔10011010010=≮⫘↔0","layer":1},{"info":"≮⫘↔100001100001⫡⨏≮⫘↔100000111111=≮⫘↔11110101110010","layer":3},{"info":"⨝⨆≮⫘↔111010001011=≮⫘↔110110111010","layer":3},{"info":"≮⫘↔11110101110010⪄≮⫘↔110110111010=≮⫘↔-1000111010110110001001","layer":2},{"info":"≮⫘↔111111001100⊱⇼⊻≮⫘↔11000000101=≮⫘↔110110010","layer":3},{"info":"∤≮⫘↔1100010010000=≮⫘↔1001","layer":3},{"info":"≮⫘↔110110010⨐⩸⫘≮⫘↔1001=≮⫘↔-1100","layer":2},{"info":"≮⫘↔-1000111010110110001001≨≮⫘↔-1100=≮⫘↔10001110101110110100010","layer":1},{"info":"≮⫘↔0⪛⫼≮⫘↔10001110101110110100010=≮⫘↔1111001000","layer":0}]}
{"id":715,"expression_no_base_symbol":"(($2387$⨒$3132$)∑⇟⊟($3002$⩺⪪$1080$)∽(⨵≀≌$4172$⇄$2891$))⪪($1177$↳∿⪆$1498$⇌⫙⪟$1012$≹⇙⪍$2205$⇄($3463$↸$2070$)⊴($1714$⫰⋱$1213$))","expression":"((≮⫘↔100101010011⨒≮⫘↔110000111100)∑⇟⊟(≮⫘↔101110111010⩺⪪≮⫘↔10000111000)∽(⨵≀≌≮⫘↔1000001001100⇄≮⫘↔101101001011))⪪(≮⫘↔10010011001↳∿⪆≮⫘↔10111011010⇌⫙⪟≮⫘↔1111110100≹⇙⪍≮⫘↔100010011101⇄(≮⫘↔110110000111↸≮⫘↔100000010110)⊴(≮⫘↔11010110010⫰⋱≮⫘↔10010111101))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12796,"operation_count":14,"complexity_ratio":914.0,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2387,"base":2},"right_expr":{"type":"numeric_atoms","value":3132,"base":2}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3002,"base":2},"right_expr":{"type":"numeric_atoms","value":1080,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4172,"base":2},"right_expr":{"type":"numeric_atoms","value":2891,"base":2}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1177,"base":2},"right_expr":{"type":"numeric_atoms","value":1498,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":2205,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3463,"base":2},"right_expr":{"type":"numeric_atoms","value":2070,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1714,"base":2},"right_expr":{"type":"numeric_atoms","value":1213,"base":2}}}}},"used_operators":["xD69zh8xqp","y4ImoPnbV5","U7g4x0WXJJ","y75s1iXyHd","uvdQJvN4PV","srAu1WTS94","3EYGwJThht","AFVx7xoS7T","Cw4SuJJGHO","AHs5Up7iyr","Nsiff2A1zJ","1eCjFl0mb9","6o9Blt3TJ6"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2387","layer":4},{"info":"number node, value=3132","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=3132, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-13950","layer":3},{"info":"number node, value=3002","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=3002, right_input=1080, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-31650","layer":3},{"info":"compute binary expreesion, left_input=-13950, right_input=-31650, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4172","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=4172, right_input=2891, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"number node, value=1177","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1498, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2205, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"number node, value=3463","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=3463, right_input=2070, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3463","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=1213, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1681","layer":3},{"info":"compute binary expreesion, left_input=3463, right_input=-1681, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100101010011⨒≮⫘↔110000111100)∑⇟⊟(≮⫘↔101110111010⩺⪪≮⫘↔10000111000)∽(⨵≀≌≮⫘↔1000001001100⇄≮⫘↔101101001011))⪪(≮⫘↔10010011001↳∿⪆≮⫘↔10111011010⇌⫙⪟≮⫘↔1111110100≹⇙⪍≮⫘↔100010011101⇄(≮⫘↔110110000111↸≮⫘↔100000010110)⊴(≮⫘↔11010110010⫰⋱≮⫘↔10010111101))=NaN","reverse_text":"NaN=((≮⫘↔100101010011⨒≮⫘↔110000111100)∑⇟⊟(≮⫘↔101110111010⩺⪪≮⫘↔10000111000)∽(⨵≀≌≮⫘↔1000001001100⇄≮⫘↔101101001011))⪪(≮⫘↔10010011001↳∿⪆≮⫘↔10111011010⇌⫙⪟≮⫘↔1111110100≹⇙⪍≮⫘↔100010011101⇄(≮⫘↔110110000111↸≮⫘↔100000010110)⊴(≮⫘↔11010110010⫰⋱≮⫘↔10010111101))","cot":[{"info":"≮⫘↔100101010011⨒≮⫘↔110000111100=≮⫘↔-11011001111110","layer":3},{"info":"≮⫘↔101110111010⩺⪪≮⫘↔10000111000=≮⫘↔-111101110100010","layer":3},{"info":"≮⫘↔-11011001111110∑⇟⊟≮⫘↔-111101110100010=NaN","layer":2},{"info":"≮⫘↔1000001001100⇄≮⫘↔101101001011=≮⫘↔0","layer":3},{"info":"⨵≀≌≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN∽≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔10010011001↳∿⪆≮⫘↔10111011010=NaN","layer":3},{"info":"≮⫘↔1111110100≹⇙⪍≮⫘↔100010011101=NaN","layer":3},{"info":"NaN⇌⫙⪟NaN=NaN","layer":2},{"info":"≮⫘↔110110000111↸≮⫘↔100000010110=≮⫘↔110110000111","layer":3},{"info":"≮⫘↔11010110010⫰⋱≮⫘↔10010111101=≮⫘↔-11010010001","layer":3},{"info":"≮⫘↔110110000111⊴≮⫘↔-11010010001=NaN","layer":2},{"info":"NaN⇄NaN=NaN","layer":1},{"info":"NaN⪪NaN=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"((≀↧⇸(⨡↴$2548$))-(-$3337$)⇼⇔∾$3699$⨫⇇↔$6443$)⩦(($2737$⫸⇳$2533$)⫁($7066$↬$5381$)∀⇚≩(↽≂($8748$↦)))","expression":"((≀↧⇸(⨡↴≮⫘↔100111110100))-(-≮⫘↔110100001001)⇼⇔∾≮⫘↔111001110011⨫⇇↔≮⫘↔1100100101011)⩦((≮⫘↔101010110001⫸⇳≮⫘↔100111100101)⫁(≮⫘↔1101110011010↬≮⫘↔1010100000101)∀⇚≩(↽≂(≮⫘↔10001000101100↦)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":246078,"operation_count":13,"complexity_ratio":18929.076923076922,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2548,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3337,"base":2}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3699,"base":2},"right_expr":{"type":"numeric_atoms","value":6443,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2737,"base":2},"right_expr":{"type":"numeric_atoms","value":2533,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7066,"base":2},"right_expr":{"type":"numeric_atoms","value":5381,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":8748,"base":2}}}}},"used_operators":["0kmYd0q39Y","rysDP5nf3Z","ljTHtUsqzn","liw5iZPkLH","tifHPKVTfV","t8gj7n24qd","LXhwmt4mBO","LRNGc0VcxI","0ajvFaJAv0","gx7XJ7hdpj","B5M0gjZbta","u6S6b8DprG","fFznvYxMfW"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","X99M06cbEe","cHh1gJQ2o6","AHs5Up7iyr","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW"],"result":"≮⫘↔10001001000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2548","layer":4},{"info":"compute unary expreesion, input=2548, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3597","layer":3},{"info":"compute unary expreesion, input=3597, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=7194","layer":2},{"info":"number node, value=3337","layer":4},{"info":"compute unary expreesion, input=3337, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3337","layer":3},{"info":"number node, value=3699","layer":4},{"info":"number node, value=6443","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=6443, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-3337, right_input=-527, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2810","layer":2},{"info":"compute binary expreesion, left_input=7194, right_input=2810, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4384","layer":1},{"info":"number node, value=2737","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=2533, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=7066","layer":4},{"info":"number node, value=5381","layer":4},{"info":"compute binary expreesion, left_input=7066, right_input=5381, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=8748","layer":4},{"info":"compute unary expreesion, input=8748, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4384, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8768","layer":0}],"base":2,"result_base":2,"text":"((≀↧⇸(⨡↴≮⫘↔100111110100))-(-≮⫘↔110100001001)⇼⇔∾≮⫘↔111001110011⨫⇇↔≮⫘↔1100100101011)⩦((≮⫘↔101010110001⫸⇳≮⫘↔100111100101)⫁(≮⫘↔1101110011010↬≮⫘↔1010100000101)∀⇚≩(↽≂(≮⫘↔10001000101100↦)))=≮⫘↔10001001000000","reverse_text":"≮⫘↔10001001000000=((≀↧⇸(⨡↴≮⫘↔100111110100))-(-≮⫘↔110100001001)⇼⇔∾≮⫘↔111001110011⨫⇇↔≮⫘↔1100100101011)⩦((≮⫘↔101010110001⫸⇳≮⫘↔100111100101)⫁(≮⫘↔1101110011010↬≮⫘↔1010100000101)∀⇚≩(↽≂(≮⫘↔10001000101100↦)))","cot":[{"info":"⨡↴≮⫘↔100111110100=≮⫘↔111000001101","layer":3},{"info":"≀↧⇸≮⫘↔111000001101=≮⫘↔1110000011010","layer":2},{"info":"-≮⫘↔110100001001=≮⫘↔-110100001001","layer":3},{"info":"≮⫘↔111001110011⨫⇇↔≮⫘↔1100100101011=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔-110100001001⇼⇔∾≮⫘↔-1000001111=≮⫘↔101011111010","layer":2},{"info":"≮⫘↔1110000011010-≮⫘↔101011111010=≮⫘↔1000100100000","layer":1},{"info":"≮⫘↔101010110001⫸⇳≮⫘↔100111100101=≮⫘↔0","layer":3},{"info":"≮⫘↔1101110011010↬≮⫘↔1010100000101=NaN","layer":3},{"info":"≮⫘↔0⫁NaN=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10001000101100↦=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"≮⫘↔10100000∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔1000100100000⩦NaN=≮⫘↔10001001000000","layer":0}]}
{"id":717,"expression_no_base_symbol":"⋃(⇜(($1410$≒∊$2085$)⇪⋭))","expression":"⋃(⇜((≮⫘↔10110000010≒∊≮⫘↔100000100101)⇪⋭))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":975,"operation_count":4,"complexity_ratio":243.75,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1410,"base":2},"right_expr":{"type":"numeric_atoms","value":2085,"base":2}}}}},"used_operators":["3mBM5G4a3l","lFBm8KRb8F","Z8Yg6dlDSp","5KTvxBwnZo"],"dependent_operators":["g55IO6H4Gj","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1410","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=2085, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-926","layer":3},{"info":"compute unary expreesion, input=-926, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⋃(⇜((≮⫘↔10110000010≒∊≮⫘↔100000100101)⇪⋭))=NaN","reverse_text":"NaN=⋃(⇜((≮⫘↔10110000010≒∊≮⫘↔100000100101)⇪⋭))","cot":[{"info":"≮⫘↔10110000010≒∊≮⫘↔100000100101=≮⫘↔-1110011110","layer":3},{"info":"≮⫘↔-1110011110⇪⋭=NaN","layer":2},{"info":"⇜NaN=NaN","layer":1},{"info":"⋃NaN=NaN","layer":0}]}
{"id":718,"expression_no_base_symbol":"(((⨮↦↱$4603$)⩵∡(≀↧⇸$1104$))⊋≦⊧($2432$≨$2174$⩚⊴⇥(⨈⪑$1166$)))⨂≜((⊖$1358$)⨼⩣($6037$⋛$3967$)⪛⫼(($2615$⋭≵$3744$)⊿∆))","expression":"(((⨮↦↱≮⫘↔1000111111011)⩵∡(≀↧⇸≮⫘↔10001010000))⊋≦⊧(≮⫘↔100110000000≨≮⫘↔100001111110⩚⊴⇥(⨈⪑≮⫘↔10010001110)))⨂≜((⊖≮⫘↔10101001110)⨼⩣(≮⫘↔1011110010101⋛≮⫘↔111101111111)⪛⫼((≮⫘↔101000110111⋭≵≮⫘↔111010100000)⊿∆))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":280173,"operation_count":14,"complexity_ratio":20012.35714285714,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4603,"base":2}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1104,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2432,"base":2},"right_expr":{"type":"numeric_atoms","value":2174,"base":2}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1166,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1358,"base":2}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":6037,"base":2},"right_expr":{"type":"numeric_atoms","value":3967,"base":2}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2615,"base":2},"right_expr":{"type":"numeric_atoms","value":3744,"base":2}}}}},"used_operators":["k1SHOSEABc","oRDoc9rAEX","Y7wcNGrDQJ","sYcpBQ0cFf","ljTHtUsqzn","NTOWxs364D","0KMCeP1Jsh","mp94q5OcYM","hyuBjUqXlG","JxwMv5le6e","U6pG0PXrV3","YbUVn0Rbpy","fv3ZujxkQL","jBncVCNhdl"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","glklzrTFfD","tifHPKVTfV","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","NTOWxs364D","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4603","layer":4},{"info":"compute unary expreesion, input=4603, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-50705631","layer":3},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2208","layer":3},{"info":"compute binary expreesion, left_input=-50705631, right_input=2208, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=152118980","layer":2},{"info":"number node, value=2432","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=2174, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-21844","layer":3},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-21844, right_input=868, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=20855","layer":2},{"info":"compute binary expreesion, left_input=152118980, right_input=20855, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-41470","layer":1},{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=6037","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=6037, right_input=3967, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-77859","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-77859, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2615","layer":4},{"info":"number node, value=3744","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=3744, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-255","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-255, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-41470, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⨮↦↱≮⫘↔1000111111011)⩵∡(≀↧⇸≮⫘↔10001010000))⊋≦⊧(≮⫘↔100110000000≨≮⫘↔100001111110⩚⊴⇥(⨈⪑≮⫘↔10010001110)))⨂≜((⊖≮⫘↔10101001110)⨼⩣(≮⫘↔1011110010101⋛≮⫘↔111101111111)⪛⫼((≮⫘↔101000110111⋭≵≮⫘↔111010100000)⊿∆))=NaN","reverse_text":"NaN=(((⨮↦↱≮⫘↔1000111111011)⩵∡(≀↧⇸≮⫘↔10001010000))⊋≦⊧(≮⫘↔100110000000≨≮⫘↔100001111110⩚⊴⇥(⨈⪑≮⫘↔10010001110)))⨂≜((⊖≮⫘↔10101001110)⨼⩣(≮⫘↔1011110010101⋛≮⫘↔111101111111)⪛⫼((≮⫘↔101000110111⋭≵≮⫘↔111010100000)⊿∆))","cot":[{"info":"⨮↦↱≮⫘↔1000111111011=≮⫘↔-11000001011011010011011111","layer":3},{"info":"≀↧⇸≮⫘↔10001010000=≮⫘↔100010100000","layer":3},{"info":"≮⫘↔-11000001011011010011011111⩵∡≮⫘↔100010100000=≮⫘↔1001000100010010011011000100","layer":2},{"info":"≮⫘↔100110000000≨≮⫘↔100001111110=≮⫘↔-101010101010100","layer":3},{"info":"⨈⪑≮⫘↔10010001110=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔-101010101010100⩚⊴⇥≮⫘↔1101100100=≮⫘↔101000101110111","layer":2},{"info":"≮⫘↔1001000100010010011011000100⊋≦⊧≮⫘↔101000101110111=≮⫘↔-1010000111111110","layer":1},{"info":"⊖≮⫘↔10101001110=≮⫘↔0","layer":3},{"info":"≮⫘↔1011110010101⋛≮⫘↔111101111111=≮⫘↔-10011000000100011","layer":3},{"info":"≮⫘↔0⨼⩣≮⫘↔-10011000000100011=NaN","layer":2},{"info":"≮⫘↔101000110111⋭≵≮⫘↔111010100000=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1000011⊿∆=≮⫘↔-11111111","layer":2},{"info":"NaN⪛⫼≮⫘↔-11111111=NaN","layer":1},{"info":"≮⫘↔-1010000111111110⨂≜NaN=NaN","layer":0}]}
{"id":719,"expression_no_base_symbol":"((∓⪦($1151$-$3827$))⨎⋸⪻)∀⇚≩(↥($1235$⫲≸⪮$6334$)⇡⇂$2260$⫗⊷⫓$4814$)","expression":"((∓⪦(≮⫘↔10001111111-≮⫘↔111011110011))⨎⋸⪻)∀⇚≩(↥(≮⫘↔10011010011⫲≸⪮≮⫘↔1100010111110)⇡⇂≮⫘↔100011010100⫗⊷⫓≮⫘↔1001011001110)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":99684,"operation_count":8,"complexity_ratio":12460.5,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1151,"base":2},"right_expr":{"type":"numeric_atoms","value":3827,"base":2}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1235,"base":2},"right_expr":{"type":"numeric_atoms","value":6334,"base":2}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2260,"base":2},"right_expr":{"type":"numeric_atoms","value":4814,"base":2}}}}},"used_operators":["LRNGc0VcxI","Dk5vyLCiGd","D309nIvmXG","rysDP5nf3Z","A8NUZmVepG","UMwdvZNt44","P3lXMJvFrc","zashukvMKz"],"dependent_operators":["X99M06cbEe","IWmyXbctLI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1151","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=3827, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2676","layer":3},{"info":"compute unary expreesion, input=-2676, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-6998","layer":2},{"info":"compute unary expreesion, input=-6998, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-13680","layer":1},{"info":"number node, value=1235","layer":4},{"info":"number node, value=6334","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=6334, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1235","layer":3},{"info":"number node, value=2260","layer":4},{"info":"number node, value=4814","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=4814, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1235, right_input=-134, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13680, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((∓⪦(≮⫘↔10001111111-≮⫘↔111011110011))⨎⋸⪻)∀⇚≩(↥(≮⫘↔10011010011⫲≸⪮≮⫘↔1100010111110)⇡⇂≮⫘↔100011010100⫗⊷⫓≮⫘↔1001011001110)=NaN","reverse_text":"NaN=((∓⪦(≮⫘↔10001111111-≮⫘↔111011110011))⨎⋸⪻)∀⇚≩(↥(≮⫘↔10011010011⫲≸⪮≮⫘↔1100010111110)⇡⇂≮⫘↔100011010100⫗⊷⫓≮⫘↔1001011001110)","cot":[{"info":"≮⫘↔10001111111-≮⫘↔111011110011=≮⫘↔-101001110100","layer":3},{"info":"∓⪦≮⫘↔-101001110100=≮⫘↔-1101101010110","layer":2},{"info":"≮⫘↔-1101101010110⨎⋸⪻=≮⫘↔-11010101110000","layer":1},{"info":"≮⫘↔10011010011⫲≸⪮≮⫘↔1100010111110=≮⫘↔10011010011","layer":3},{"info":"≮⫘↔100011010100⫗⊷⫓≮⫘↔1001011001110=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔10011010011⇡⇂≮⫘↔-10000110=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"≮⫘↔-11010101110000∀⇚≩NaN=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"(($7075$∇⊂⋱$7824$)⨽∌$1315$↞⋁$2571$⫥∨⫟(($2729$⊝⪿⪼$5184$)⪘⨀))⊹∫⫚($1473$↳∿⪆$8617$⨔≚≋$1237$⊲⩕⊾$1860$)⪮%⊝(→⩰$1928$⇮⋭$1890$)","expression":"((≮⫘↔1101110100011∇⊂⋱≮⫘↔1111010010000)⨽∌≮⫘↔10100100011↞⋁≮⫘↔101000001011⫥∨⫟((≮⫘↔101010101001⊝⪿⪼≮⫘↔1010001000000)⪘⨀))⊹∫⫚(≮⫘↔10111000001↳∿⪆≮⫘↔10000110101001⨔≚≋≮⫘↔10011010101⊲⩕⊾≮⫘↔11101000100)⪮%⊝(→⩰≮⫘↔11110001000⇮⋭≮⫘↔11101100010)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3749,"operation_count":13,"complexity_ratio":288.38461538461536,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7075,"base":2},"right_expr":{"type":"numeric_atoms","value":7824,"base":2}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1315,"base":2},"right_expr":{"type":"numeric_atoms","value":2571,"base":2}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2729,"base":2},"right_expr":{"type":"numeric_atoms","value":5184,"base":2}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1473,"base":2},"right_expr":{"type":"numeric_atoms","value":8617,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1237,"base":2},"right_expr":{"type":"numeric_atoms","value":1860,"base":2}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1928,"base":2},"right_expr":{"type":"numeric_atoms","value":1890,"base":2}}}}},"used_operators":["uWAJUKEvyW","KYD54nUTWz","9samAPKr6k","nhYeJWJD5X","RqrPlJkxDo","aA7tF3KVD3","3Oe9XWJUTD","IWmyXbctLI","Z57zeUYC9z","Cw4SuJJGHO","DmTXOeWf9t","o8Pngz0Tml","vkpjKywKVM"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","8HhzD0ZcuI","rGHVDoGpnC","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7075","layer":4},{"info":"number node, value=7824","layer":4},{"info":"compute binary expreesion, left_input=7075, right_input=7824, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13604","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=2571, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13604, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"number node, value=2729","layer":4},{"info":"number node, value=5184","layer":4},{"info":"compute binary expreesion, left_input=2729, right_input=5184, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=50867","layer":3},{"info":"compute unary expreesion, input=50867, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-102315","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-102315, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1473","layer":4},{"info":"number node, value=8617","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=8617, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=1860, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-35022","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-35022, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=1928","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=1890, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1101110100011∇⊂⋱≮⫘↔1111010010000)⨽∌≮⫘↔10100100011↞⋁≮⫘↔101000001011⫥∨⫟((≮⫘↔101010101001⊝⪿⪼≮⫘↔1010001000000)⪘⨀))⊹∫⫚(≮⫘↔10111000001↳∿⪆≮⫘↔10000110101001⨔≚≋≮⫘↔10011010101⊲⩕⊾≮⫘↔11101000100)⪮%⊝(→⩰≮⫘↔11110001000⇮⋭≮⫘↔11101100010)=NaN","reverse_text":"NaN=((≮⫘↔1101110100011∇⊂⋱≮⫘↔1111010010000)⨽∌≮⫘↔10100100011↞⋁≮⫘↔101000001011⫥∨⫟((≮⫘↔101010101001⊝⪿⪼≮⫘↔1010001000000)⪘⨀))⊹∫⫚(≮⫘↔10111000001↳∿⪆≮⫘↔10000110101001⨔≚≋≮⫘↔10011010101⊲⩕⊾≮⫘↔11101000100)⪮%⊝(→⩰≮⫘↔11110001000⇮⋭≮⫘↔11101100010)","cot":[{"info":"≮⫘↔1101110100011∇⊂⋱≮⫘↔1111010010000=≮⫘↔11010100100100","layer":3},{"info":"≮⫘↔10100100011↞⋁≮⫘↔101000001011=NaN","layer":3},{"info":"≮⫘↔11010100100100⨽∌NaN=NaN","layer":2},{"info":"≮⫘↔101010101001⊝⪿⪼≮⫘↔1010001000000=≮⫘↔1100011010110011","layer":3},{"info":"≮⫘↔1100011010110011⪘⨀=≮⫘↔-11000111110101011","layer":2},{"info":"NaN⫥∨⫟≮⫘↔-11000111110101011=NaN","layer":1},{"info":"≮⫘↔10111000001↳∿⪆≮⫘↔10000110101001=NaN","layer":3},{"info":"≮⫘↔10011010101⊲⩕⊾≮⫘↔11101000100=≮⫘↔-1000100011001110","layer":3},{"info":"NaN⨔≚≋≮⫘↔-1000100011001110=NaN","layer":2},{"info":"≮⫘↔11110001000⇮⋭≮⫘↔11101100010=≮⫘↔-111011001","layer":3},{"info":"→⩰≮⫘↔-111011001=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN⊹∫⫚NaN=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"(⨆≐≲($1154$≀⫉$3795$⋓$2327$≀⫉$4686$))⊋(($6173$⇤$1389$⨵⪆$4694$⫸⊐$3537$)∛≔)","expression":"(⨆≐≲(≮⫘↔10010000010≀⫉≮⫘↔111011010011⋓≮⫘↔100100010111≀⫉≮⫘↔1001001001110))⊋((≮⫘↔1100000011101⇤≮⫘↔10101101101⨵⪆≮⫘↔1001001010110⫸⊐≮⫘↔110111010001)∛≔)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":984,"operation_count":9,"complexity_ratio":109.33333333333333,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1154,"base":2},"right_expr":{"type":"numeric_atoms","value":3795,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2327,"base":2},"right_expr":{"type":"numeric_atoms","value":4686,"base":2}}}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6173,"base":2},"right_expr":{"type":"numeric_atoms","value":1389,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4694,"base":2},"right_expr":{"type":"numeric_atoms","value":3537,"base":2}}}}},"used_operators":["W4tP9CfskL","Bi9z9uYZqW","T2fj7uvVaJ","oZj3VtZNQx","mGnSCrte3L","2DQ55sFlQl","YSKBFp38Pu","mqXw5SEYmG"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≮⫘↔-10111010011111111011010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"number node, value=3795","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=3795, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=4686","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=4686, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=2822, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-166100","layer":1},{"info":"number node, value=6173","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=6173, right_input=1389, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-34962","layer":3},{"info":"number node, value=4694","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=4694, right_input=3537, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14023","layer":3},{"info":"compute binary expreesion, left_input=-34962, right_input=14023, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":1},{"info":"compute binary expreesion, left_input=-166100, right_input=-305287, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-6111194","layer":0}],"base":2,"result_base":2,"text":"(⨆≐≲(≮⫘↔10010000010≀⫉≮⫘↔111011010011⋓≮⫘↔100100010111≀⫉≮⫘↔1001001001110))⊋((≮⫘↔1100000011101⇤≮⫘↔10101101101⨵⪆≮⫘↔1001001010110⫸⊐≮⫘↔110111010001)∛≔)=≮⫘↔-10111010011111111011010","reverse_text":"≮⫘↔-10111010011111111011010=(⨆≐≲(≮⫘↔10010000010≀⫉≮⫘↔111011010011⋓≮⫘↔100100010111≀⫉≮⫘↔1001001001110))⊋((≮⫘↔1100000011101⇤≮⫘↔10101101101⨵⪆≮⫘↔1001001010110⫸⊐≮⫘↔110111010001)∛≔)","cot":[{"info":"≮⫘↔10010000010≀⫉≮⫘↔111011010011=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔100100010111≀⫉≮⫘↔1001001001110=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔101100000110⋓≮⫘↔101100000110=≮⫘↔0","layer":2},{"info":"⨆≐≲≮⫘↔0=≮⫘↔-101000100011010100","layer":1},{"info":"≮⫘↔1100000011101⇤≮⫘↔10101101101=≮⫘↔-1000100010010010","layer":3},{"info":"≮⫘↔1001001010110⫸⊐≮⫘↔110111010001=≮⫘↔11011011000111","layer":3},{"info":"≮⫘↔-1000100010010010⨵⪆≮⫘↔11011011000111=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10100000∛≔=≮⫘↔-1001010100010000111","layer":1},{"info":"≮⫘↔-101000100011010100⊋≮⫘↔-1001010100010000111=≮⫘↔-10111010011111111011010","layer":0}]}
{"id":722,"expression_no_base_symbol":"($1193$⪒⊣⊆$2638$)⇂≾⫗($2156$⨚⇆$6782$)⩘(($5562$⨘)⊭∹↮)⨚⇆(≛($2413$⨭⪣$2914$)⊋($2755$⋥≓≎$2076$))","expression":"(≮⫘↔10010101001⪒⊣⊆≮⫘↔101001001110)⇂≾⫗(≮⫘↔100001101100⨚⇆≮⫘↔1101001111110)⩘((≮⫘↔1010110111010⨘)⊭∹↮)⨚⇆(≛(≮⫘↔100101101101⨭⪣≮⫘↔101101100010)⊋(≮⫘↔101011000011⋥≓≎≮⫘↔100000011100))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22604,"operation_count":11,"complexity_ratio":2054.909090909091,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1193,"base":2},"right_expr":{"type":"numeric_atoms","value":2638,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2156,"base":2},"right_expr":{"type":"numeric_atoms","value":6782,"base":2}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":5562,"base":2}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2413,"base":2},"right_expr":{"type":"numeric_atoms","value":2914,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2755,"base":2},"right_expr":{"type":"numeric_atoms","value":2076,"base":2}}}}},"used_operators":["lwHaAYXP2r","cHh1gJQ2o6","aBQ6xLxuTc","eRqsBgTDFp","xNBdhnnwKq","ljcfZBUpm8","W7eaUhjymW","W4tP9CfskL","kn8WO9XteQ","Qy55tPpLXF"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","sdazOOVcIp","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1193","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=2638, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2386","layer":3},{"info":"number node, value=2156","layer":4},{"info":"number node, value=6782","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=6782, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2386, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=5562","layer":4},{"info":"compute unary expreesion, input=5562, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-39709","layer":3},{"info":"compute unary expreesion, input=-39709, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-39709","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-39709, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=2413","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=2914, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1134","layer":3},{"info":"number node, value=2755","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=2755, right_input=2076, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1430","layer":3},{"info":"compute binary expreesion, left_input=1134, right_input=1430, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-2774572","layer":2},{"info":"compute unary expreesion, input=-2774572, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-5549381","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-5549381, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010101001⪒⊣⊆≮⫘↔101001001110)⇂≾⫗(≮⫘↔100001101100⨚⇆≮⫘↔1101001111110)⩘((≮⫘↔1010110111010⨘)⊭∹↮)⨚⇆(≛(≮⫘↔100101101101⨭⪣≮⫘↔101101100010)⊋(≮⫘↔101011000011⋥≓≎≮⫘↔100000011100))=NaN","reverse_text":"NaN=(≮⫘↔10010101001⪒⊣⊆≮⫘↔101001001110)⇂≾⫗(≮⫘↔100001101100⨚⇆≮⫘↔1101001111110)⩘((≮⫘↔1010110111010⨘)⊭∹↮)⨚⇆(≛(≮⫘↔100101101101⨭⪣≮⫘↔101101100010)⊋(≮⫘↔101011000011⋥≓≎≮⫘↔100000011100))","cot":[{"info":"≮⫘↔10010101001⪒⊣⊆≮⫘↔101001001110=≮⫘↔100101010010","layer":3},{"info":"≮⫘↔100001101100⨚⇆≮⫘↔1101001111110=NaN","layer":3},{"info":"≮⫘↔100101010010⇂≾⫗NaN=NaN","layer":2},{"info":"≮⫘↔1010110111010⨘=≮⫘↔-1001101100011101","layer":3},{"info":"≮⫘↔-1001101100011101⊭∹↮=≮⫘↔-1001101100011101","layer":2},{"info":"NaN⩘≮⫘↔-1001101100011101=≮⫘↔10100000","layer":1},{"info":"≮⫘↔100101101101⨭⪣≮⫘↔101101100010=≮⫘↔10001101110","layer":3},{"info":"≮⫘↔101011000011⋥≓≎≮⫘↔100000011100=≮⫘↔10110010110","layer":3},{"info":"≮⫘↔10001101110⊋≮⫘↔10110010110=≮⫘↔-1010100101011000101100","layer":2},{"info":"≛≮⫘↔-1010100101011000101100=≮⫘↔-10101001010110101000101","layer":1},{"info":"≮⫘↔10100000⨚⇆≮⫘↔-10101001010110101000101=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"(($2555$⊨$2928$)∌(≸$4055$))∊∟⩊(⨂⪏⇭(⪲⇎$1093$))⫃⨇(($5292$⋷$2763$)⨔≚≋($2150$↡⊰⫅$1405$))⇂≾⫗(($1090$∌↝$1325$)⊴($2799$↼⊘⨖$5512$))","expression":"((≮⫘↔100111111011⊨≮⫘↔101101110000)∌(≸≮⫘↔111111010111))∊∟⩊(⨂⪏⇭(⪲⇎≮⫘↔10001000101))⫃⨇((≮⫘↔1010010101100⋷≮⫘↔101011001011)⨔≚≋(≮⫘↔100001100110↡⊰⫅≮⫘↔10101111101))⇂≾⫗((≮⫘↔10001000010∌↝≮⫘↔10100101101)⊴(≮⫘↔101011101111↼⊘⨖≮⫘↔1010110001000))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30741,"operation_count":14,"complexity_ratio":2195.785714285714,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2555,"base":2},"right_expr":{"type":"numeric_atoms","value":2928,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":4055,"base":2}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1093,"base":2}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5292,"base":2},"right_expr":{"type":"numeric_atoms","value":2763,"base":2}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2150,"base":2},"right_expr":{"type":"numeric_atoms","value":1405,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1090,"base":2},"right_expr":{"type":"numeric_atoms","value":1325,"base":2}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2799,"base":2},"right_expr":{"type":"numeric_atoms","value":5512,"base":2}}}}},"used_operators":["09Ly4LVMIf","ddLRYrp01A","8cLx32lpNA","vg4gO5BX6G","eOf03JbCpp","AYdpE9sXAk","XPYlsWDdGa","aBQ6xLxuTc","Z57zeUYC9z","23Mk6UjR3U","VCtxkLNOzz","Nsiff2A1zJ","9Isq31Ruls","bPywburJMS"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","dWAJyo7jo9","14qkJME0vr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=2928, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=11251","layer":3},{"info":"number node, value=4055","layer":4},{"info":"compute unary expreesion, input=4055, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=11251, right_input=58, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-58","layer":2},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2186","layer":3},{"info":"compute unary expreesion, input=2186, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=5579","layer":2},{"info":"compute binary expreesion, left_input=-58, right_input=5579, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5579","layer":1},{"info":"number node, value=5292","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=5292, right_input=2763, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=234","layer":3},{"info":"number node, value=2150","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=1405, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2810","layer":3},{"info":"compute binary expreesion, left_input=234, right_input=2810, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=1090","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1325, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2799","layer":4},{"info":"number node, value=5512","layer":4},{"info":"compute binary expreesion, left_input=2799, right_input=5512, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=10802","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10802, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5579, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100111111011⊨≮⫘↔101101110000)∌(≸≮⫘↔111111010111))∊∟⩊(⨂⪏⇭(⪲⇎≮⫘↔10001000101))⫃⨇((≮⫘↔1010010101100⋷≮⫘↔101011001011)⨔≚≋(≮⫘↔100001100110↡⊰⫅≮⫘↔10101111101))⇂≾⫗((≮⫘↔10001000010∌↝≮⫘↔10100101101)⊴(≮⫘↔101011101111↼⊘⨖≮⫘↔1010110001000))=NaN","reverse_text":"NaN=((≮⫘↔100111111011⊨≮⫘↔101101110000)∌(≸≮⫘↔111111010111))∊∟⩊(⨂⪏⇭(⪲⇎≮⫘↔10001000101))⫃⨇((≮⫘↔1010010101100⋷≮⫘↔101011001011)⨔≚≋(≮⫘↔100001100110↡⊰⫅≮⫘↔10101111101))⇂≾⫗((≮⫘↔10001000010∌↝≮⫘↔10100101101)⊴(≮⫘↔101011101111↼⊘⨖≮⫘↔1010110001000))","cot":[{"info":"≮⫘↔100111111011⊨≮⫘↔101101110000=≮⫘↔10101111110011","layer":3},{"info":"≸≮⫘↔111111010111=≮⫘↔111010","layer":3},{"info":"≮⫘↔10101111110011∌≮⫘↔111010=≮⫘↔-111010","layer":2},{"info":"⪲⇎≮⫘↔10001000101=≮⫘↔100010001010","layer":3},{"info":"⨂⪏⇭≮⫘↔100010001010=≮⫘↔1010111001011","layer":2},{"info":"≮⫘↔-111010∊∟⩊≮⫘↔1010111001011=≮⫘↔1010111001011","layer":1},{"info":"≮⫘↔1010010101100⋷≮⫘↔101011001011=≮⫘↔11101010","layer":3},{"info":"≮⫘↔100001100110↡⊰⫅≮⫘↔10101111101=≮⫘↔101011111010","layer":3},{"info":"≮⫘↔11101010⨔≚≋≮⫘↔101011111010=≮⫘↔10011010010000","layer":2},{"info":"≮⫘↔10001000010∌↝≮⫘↔10100101101=≮⫘↔0","layer":3},{"info":"≮⫘↔101011101111↼⊘⨖≮⫘↔1010110001000=≮⫘↔10101000110010","layer":3},{"info":"≮⫘↔0⊴≮⫘↔10101000110010=NaN","layer":2},{"info":"≮⫘↔10011010010000⇂≾⫗NaN=NaN","layer":1},{"info":"≮⫘↔1010111001011⫃⨇NaN=NaN","layer":0}]}
{"id":724,"expression_no_base_symbol":"⨵≀≌($2013$⪝$3046$⨰($3607$⨐⩸⫘$4303$))≨(($4588$∽$1259$)⇌⫙⪟($4078$⨒$2961$))","expression":"⨵≀≌(≮⫘↔11111011101⪝≮⫘↔101111100110⨰(≮⫘↔111000010111⨐⩸⫘≮⫘↔1000011001111))≨((≮⫘↔1000111101100∽≮⫘↔10011101011)⇌⫙⪟(≮⫘↔111111101110⨒≮⫘↔101110010001))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":525,"operation_count":8,"complexity_ratio":65.625,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2013,"base":2},"right_expr":{"type":"numeric_atoms","value":3046,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3607,"base":2},"right_expr":{"type":"numeric_atoms","value":4303,"base":2}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4588,"base":2},"right_expr":{"type":"numeric_atoms","value":1259,"base":2}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4078,"base":2},"right_expr":{"type":"numeric_atoms","value":2961,"base":2}}}}},"used_operators":["srAu1WTS94","0KMCeP1Jsh","eewbuw0ToL","wicAB68Tmb","fu6greOZ01","AFVx7xoS7T","y4ImoPnbV5","y75s1iXyHd"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","3ViojmjbAp","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2013","layer":4},{"info":"number node, value=3046","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=3046, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=3607","layer":4},{"info":"number node, value=4303","layer":4},{"info":"compute binary expreesion, left_input=3607, right_input=4303, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=4588","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=4588, right_input=1259, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-26539","layer":3},{"info":"number node, value=4078","layer":4},{"info":"number node, value=2961","layer":4},{"info":"compute binary expreesion, left_input=4078, right_input=2961, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-24096","layer":3},{"info":"compute binary expreesion, left_input=-26539, right_input=-24096, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=173594","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=173594, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨵≀≌(≮⫘↔11111011101⪝≮⫘↔101111100110⨰(≮⫘↔111000010111⨐⩸⫘≮⫘↔1000011001111))≨((≮⫘↔1000111101100∽≮⫘↔10011101011)⇌⫙⪟(≮⫘↔111111101110⨒≮⫘↔101110010001))=NaN","reverse_text":"NaN=⨵≀≌(≮⫘↔11111011101⪝≮⫘↔101111100110⨰(≮⫘↔111000010111⨐⩸⫘≮⫘↔1000011001111))≨((≮⫘↔1000111101100∽≮⫘↔10011101011)⇌⫙⪟(≮⫘↔111111101110⨒≮⫘↔101110010001))","cot":[{"info":"≮⫘↔11111011101⪝≮⫘↔101111100110=≮⫘↔11101101","layer":3},{"info":"≮⫘↔111000010111⨐⩸⫘≮⫘↔1000011001111=NaN","layer":3},{"info":"≮⫘↔11101101⨰NaN=NaN","layer":2},{"info":"≮⫘↔1000111101100∽≮⫘↔10011101011=≮⫘↔-110011110101011","layer":3},{"info":"≮⫘↔111111101110⨒≮⫘↔101110010001=≮⫘↔-101111000100000","layer":3},{"info":"≮⫘↔-110011110101011⇌⫙⪟≮⫘↔-101111000100000=≮⫘↔101010011000011010","layer":2},{"info":"NaN≨≮⫘↔101010011000011010=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"(⨦⪝($4198$⩦$1373$))↳≱(⇘($3041$≹⇙⪍$1060$))∪⫐(↯⪼($4371$∙⊟$2084$))⪔(($1636$⨵⪆$6380$)⪛⫼(⋂$1504$))","expression":"(⨦⪝(≮⫘↔1000001100110⩦≮⫘↔10101011101))↳≱(⇘(≮⫘↔101111100001≹⇙⪍≮⫘↔10000100100))∪⫐(↯⪼(≮⫘↔1000100010011∙⊟≮⫘↔100000100100))⪔((≮⫘↔11001100100⨵⪆≮⫘↔1100011101100)⪛⫼(⋂≮⫘↔10111100000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6598,"operation_count":12,"complexity_ratio":549.8333333333334,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4198,"base":2},"right_expr":{"type":"numeric_atoms","value":1373,"base":2}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3041,"base":2},"right_expr":{"type":"numeric_atoms","value":1060,"base":2}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4371,"base":2},"right_expr":{"type":"numeric_atoms","value":2084,"base":2}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1636,"base":2},"right_expr":{"type":"numeric_atoms","value":6380,"base":2}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1504,"base":2}}}}},"used_operators":["7YooWSwCyH","JwTKLfZU96","SUjycxNXIR","0kmYd0q39Y","MGuIdZPyUC","AHs5Up7iyr","GjBEYRfMaF","8jW3W4yZS5","SxTAKzQCrw","hyuBjUqXlG","2DQ55sFlQl","BUOGQAYlQx"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","dWAJyo7jo9","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4198","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=4198, right_input=1373, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8396","layer":3},{"info":"compute unary expreesion, input=8396, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=3041","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=1060, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=4371","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=2084, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=66669","layer":3},{"info":"compute unary expreesion, input=66669, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1636","layer":4},{"info":"number node, value=6380","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=6380, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1504","layer":4},{"info":"compute unary expreesion, input=1504, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-20460","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-20460, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1741","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-1741, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=450, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⨦⪝(≮⫘↔1000001100110⩦≮⫘↔10101011101))↳≱(⇘(≮⫘↔101111100001≹⇙⪍≮⫘↔10000100100))∪⫐(↯⪼(≮⫘↔1000100010011∙⊟≮⫘↔100000100100))⪔((≮⫘↔11001100100⨵⪆≮⫘↔1100011101100)⪛⫼(⋂≮⫘↔10111100000))=≮⫘↔0","reverse_text":"≮⫘↔0=(⨦⪝(≮⫘↔1000001100110⩦≮⫘↔10101011101))↳≱(⇘(≮⫘↔101111100001≹⇙⪍≮⫘↔10000100100))∪⫐(↯⪼(≮⫘↔1000100010011∙⊟≮⫘↔100000100100))⪔((≮⫘↔11001100100⨵⪆≮⫘↔1100011101100)⪛⫼(⋂≮⫘↔10111100000))","cot":[{"info":"≮⫘↔1000001100110⩦≮⫘↔10101011101=≮⫘↔10000011001100","layer":3},{"info":"⨦⪝≮⫘↔10000011001100=≮⫘↔-11101011100","layer":2},{"info":"≮⫘↔101111100001≹⇙⪍≮⫘↔10000100100=NaN","layer":3},{"info":"⇘NaN=NaN","layer":2},{"info":"≮⫘↔-11101011100↳≱NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔1000100010011∙⊟≮⫘↔100000100100=≮⫘↔10000010001101101","layer":3},{"info":"↯⪼≮⫘↔10000010001101101=≮⫘↔-10101","layer":2},{"info":"≮⫘↔11001100100⨵⪆≮⫘↔1100011101100=≮⫘↔10100000","layer":3},{"info":"⋂≮⫘↔10111100000=≮⫘↔-100111111101100","layer":3},{"info":"≮⫘↔10100000⪛⫼≮⫘↔-100111111101100=≮⫘↔-11011001101","layer":2},{"info":"≮⫘↔-10101⪔≮⫘↔-11011001101=≮⫘↔111000010","layer":1},{"info":"≮⫘↔0∪⫐≮⫘↔111000010=≮⫘↔0","layer":0}]}
{"id":726,"expression_no_base_symbol":"($2001$∓⋝$2319$⩇∃⫛($1757$⨳⩥⨓$2826$)≑≱⪘)↳≱(($7504$⫸⊐$1051$)⊴(⇨$5957$)↼⊘⨖$2916$⋕⪉⪜$1316$∌($5291$⋘⨑⨽))","expression":"(≮⫘↔11111010001∓⋝≮⫘↔100100001111⩇∃⫛(≮⫘↔11011011101⨳⩥⨓≮⫘↔101100001010)≑≱⪘)↳≱((≮⫘↔1110101010000⫸⊐≮⫘↔10000011011)⊴(⇨≮⫘↔1011101000101)↼⊘⨖≮⫘↔101101100100⋕⪉⪜≮⫘↔10100100100∌(≮⫘↔1010010101011⋘⨑⨽))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":304,"operation_count":12,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2001,"base":2},"right_expr":{"type":"numeric_atoms","value":2319,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1757,"base":2},"right_expr":{"type":"numeric_atoms","value":2826,"base":2}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7504,"base":2},"right_expr":{"type":"numeric_atoms","value":1051,"base":2}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":5957,"base":2}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2916,"base":2},"right_expr":{"type":"numeric_atoms","value":1316,"base":2}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":5291,"base":2}}}}},"used_operators":["JwTKLfZU96","tGSeddj7UK","1aApVXNlOP","PoHhknlbAi","nCS4ZIUYfx","bPywburJMS","Nsiff2A1zJ","mqXw5SEYmG","G9tJMlZ94a","8cLx32lpNA","z6LnFrNh4i","WmT3o8z6ya"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2001","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=2319, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=2826, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1069","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1069, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=1475","layer":2},{"info":"compute unary expreesion, input=1475, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=34715","layer":1},{"info":"number node, value=7504","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=7504, right_input=1051, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4079","layer":3},{"info":"number node, value=5957","layer":4},{"info":"compute unary expreesion, input=5957, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4079, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2916","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=1316, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=5291","layer":4},{"info":"compute unary expreesion, input=5291, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=27238","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=27238, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-27238","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=-27238, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-54698","layer":1},{"info":"compute binary expreesion, left_input=34715, right_input=-54698, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11111010001∓⋝≮⫘↔100100001111⩇∃⫛(≮⫘↔11011011101⨳⩥⨓≮⫘↔101100001010)≑≱⪘)↳≱((≮⫘↔1110101010000⫸⊐≮⫘↔10000011011)⊴(⇨≮⫘↔1011101000101)↼⊘⨖≮⫘↔101101100100⋕⪉⪜≮⫘↔10100100100∌(≮⫘↔1010010101011⋘⨑⨽))=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔11111010001∓⋝≮⫘↔100100001111⩇∃⫛(≮⫘↔11011011101⨳⩥⨓≮⫘↔101100001010)≑≱⪘)↳≱((≮⫘↔1110101010000⫸⊐≮⫘↔10000011011)⊴(⇨≮⫘↔1011101000101)↼⊘⨖≮⫘↔101101100100⋕⪉⪜≮⫘↔10100100100∌(≮⫘↔1010010101011⋘⨑⨽))","cot":[{"info":"≮⫘↔11111010001∓⋝≮⫘↔100100001111=≮⫘↔1000011","layer":3},{"info":"≮⫘↔11011011101⨳⩥⨓≮⫘↔101100001010=≮⫘↔10000101101","layer":3},{"info":"≮⫘↔1000011⩇∃⫛≮⫘↔10000101101=≮⫘↔10111000011","layer":2},{"info":"≮⫘↔10111000011≑≱⪘=≮⫘↔1000011110011011","layer":1},{"info":"≮⫘↔1110101010000⫸⊐≮⫘↔10000011011=≮⫘↔111111101111","layer":3},{"info":"⇨≮⫘↔1011101000101=≮⫘↔0","layer":3},{"info":"≮⫘↔111111101111⊴≮⫘↔0=≮⫘↔-1001111","layer":2},{"info":"≮⫘↔101101100100⋕⪉⪜≮⫘↔10100100100=≮⫘↔101011110010","layer":3},{"info":"≮⫘↔1010010101011⋘⨑⨽=≮⫘↔110101001100110","layer":3},{"info":"≮⫘↔101011110010∌≮⫘↔110101001100110=≮⫘↔-110101001100110","layer":2},{"info":"≮⫘↔-1001111↼⊘⨖≮⫘↔-110101001100110=≮⫘↔-1101010110101010","layer":1},{"info":"≮⫘↔1000011110011011↳≱≮⫘↔-1101010110101010=≮⫘↔0","layer":0}]}
{"id":727,"expression_no_base_symbol":"((≇⪴$2435$)⋝⋈⪟$2843$≒∊$1512$⫸⇳(∜⨇($2220$∺≝⩲$1161$)))⪃⊛⇣(↯⪼($3213$∷$1837$)↤⩊($6391$⫁⪎$6942$))","expression":"((≇⪴≮⫘↔100110000011)⋝⋈⪟≮⫘↔101100011011≒∊≮⫘↔10111101000⫸⇳(∜⨇(≮⫘↔100010101100∺≝⩲≮⫘↔10010001001)))⪃⊛⇣(↯⪼(≮⫘↔110010001101∷≮⫘↔11100101101)↤⩊(≮⫘↔1100011110111⫁⪎≮⫘↔1101100011110))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1677,"operation_count":11,"complexity_ratio":152.45454545454547,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2435,"base":2}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2843,"base":2},"right_expr":{"type":"numeric_atoms","value":1512,"base":2}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2220,"base":2},"right_expr":{"type":"numeric_atoms","value":1161,"base":2}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3213,"base":2},"right_expr":{"type":"numeric_atoms","value":1837,"base":2}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6391,"base":2},"right_expr":{"type":"numeric_atoms","value":6942,"base":2}}}}},"used_operators":["rrgAzCduG9","gx7XJ7hdpj","2DDjHMKMc0","zoVPnxeHJ3","5KTvxBwnZo","uFPyJr306J","KPf6cnQVty","8jW3W4yZS5","13rbtpv6ld","D3AQDKkPcf","xRrnTEsQ6j"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2435","layer":4},{"info":"compute unary expreesion, input=2435, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5965","layer":3},{"info":"number node, value=2843","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=1512, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2359","layer":3},{"info":"compute binary expreesion, left_input=-5965, right_input=-2359, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-5965","layer":2},{"info":"number node, value=2220","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=1161, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5965, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"number node, value=3213","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=3213, right_input=1837, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1837","layer":3},{"info":"number node, value=6391","layer":4},{"info":"number node, value=6942","layer":4},{"info":"compute binary expreesion, left_input=6391, right_input=6942, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-551","layer":3},{"info":"compute binary expreesion, left_input=1837, right_input=-551, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((≇⪴≮⫘↔100110000011)⋝⋈⪟≮⫘↔101100011011≒∊≮⫘↔10111101000⫸⇳(∜⨇(≮⫘↔100010101100∺≝⩲≮⫘↔10010001001)))⪃⊛⇣(↯⪼(≮⫘↔110010001101∷≮⫘↔11100101101)↤⩊(≮⫘↔1100011110111⫁⪎≮⫘↔1101100011110))=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((≇⪴≮⫘↔100110000011)⋝⋈⪟≮⫘↔101100011011≒∊≮⫘↔10111101000⫸⇳(∜⨇(≮⫘↔100010101100∺≝⩲≮⫘↔10010001001)))⪃⊛⇣(↯⪼(≮⫘↔110010001101∷≮⫘↔11100101101)↤⩊(≮⫘↔1100011110111⫁⪎≮⫘↔1101100011110))","cot":[{"info":"≇⪴≮⫘↔100110000011=≮⫘↔-1011101001101","layer":3},{"info":"≮⫘↔101100011011≒∊≮⫘↔10111101000=≮⫘↔-100100110111","layer":3},{"info":"≮⫘↔-1011101001101⋝⋈⪟≮⫘↔-100100110111=≮⫘↔-1011101001101","layer":2},{"info":"≮⫘↔100010101100∺≝⩲≮⫘↔10010001001=≮⫘↔10100000","layer":3},{"info":"∜⨇≮⫘↔10100000=≮⫘↔0","layer":2},{"info":"≮⫘↔-1011101001101⫸⇳≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔110010001101∷≮⫘↔11100101101=≮⫘↔11100101101","layer":3},{"info":"≮⫘↔1100011110111⫁⪎≮⫘↔1101100011110=≮⫘↔-1000100111","layer":3},{"info":"≮⫘↔11100101101↤⩊≮⫘↔-1000100111=NaN","layer":2},{"info":"↯⪼NaN=≮⫘↔-10101","layer":1},{"info":"≮⫘↔0⪃⊛⇣≮⫘↔-10101=≮⫘↔10011010010","layer":0}]}
{"id":728,"expression_no_base_symbol":"⊆⋠((+⊝⨔(⪡⇡≛$1216$))∷($6138$∣$1170$⋖∅⋲))","expression":"⊆⋠((+⊝⨔(⪡⇡≛≮⫘↔10011000000))∷(≮⫘↔1011111111010∣≮⫘↔10010010010⋖∅⋲))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":334,"operation_count":6,"complexity_ratio":55.666666666666664,"tree":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1216,"base":2}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6138,"base":2},"right_expr":{"type":"numeric_atoms","value":1170,"base":2}}}}},"used_operators":["EBhcHTkKd8","D3AQDKkPcf","DhbWaqg5eL","qL4PrbW1Dq","L95AwlJzhO","PPChnnnBFF"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","NTOWxs364D","7j4O788W3g","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1216","layer":3},{"info":"compute unary expreesion, input=-1216, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=6138","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=6138, right_input=1170, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6138","layer":3},{"info":"compute unary expreesion, input=6138, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-384231, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-2316","layer":1},{"info":"compute unary expreesion, input=-2316, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"⊆⋠((+⊝⨔(⪡⇡≛≮⫘↔10011000000))∷(≮⫘↔1011111111010∣≮⫘↔10010010010⋖∅⋲))=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=⊆⋠((+⊝⨔(⪡⇡≛≮⫘↔10011000000))∷(≮⫘↔1011111111010∣≮⫘↔10010010010⋖∅⋲))","cot":[{"info":"⪡⇡≛≮⫘↔10011000000=≮⫘↔-10011000000","layer":3},{"info":"+⊝⨔≮⫘↔-10011000000=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔1011111111010∣≮⫘↔10010010010=≮⫘↔1011111111010","layer":3},{"info":"≮⫘↔1011111111010⋖∅⋲=≮⫘↔-1011101110011100111","layer":2},{"info":"≮⫘↔10111110010∷≮⫘↔-1011101110011100111=≮⫘↔-100100001100","layer":1},{"info":"⊆⋠≮⫘↔-100100001100=≮⫘↔111110001011","layer":0}]}
{"id":729,"expression_no_base_symbol":"∑⇻≧((≉$2461$)⩦(⇘$1452$))⇻⋧≁($5115$⊲⩕⊾$1535$∠↢$4008$⋥⋵⩄$3231$)","expression":"∑⇻≧((≉≮⫘↔100110011101)⩦(⇘≮⫘↔10110101100))⇻⋧≁(≮⫘↔1001111111011⊲⩕⊾≮⫘↔10111111111∠↢≮⫘↔111110101000⋥⋵⩄≮⫘↔110010011111)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9050,"operation_count":8,"complexity_ratio":1131.25,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2461,"base":2}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1452,"base":2}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5115,"base":2},"right_expr":{"type":"numeric_atoms","value":1535,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4008,"base":2},"right_expr":{"type":"numeric_atoms","value":3231,"base":2}}}}},"used_operators":["l1M9WJ3V7u","jCPkEVoL5K","0kmYd0q39Y","e1ybzncUwg","MGuIdZPyUC","KbjG8mgYpV","DmTXOeWf9t","7t3wd0Fuz7"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"≮⫘↔100010001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2461","layer":4},{"info":"compute unary expreesion, input=2461, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2992","layer":3},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=81502","layer":3},{"info":"compute binary expreesion, left_input=2992, right_input=81502, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5984","layer":2},{"info":"number node, value=5115","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=5115, right_input=1535, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-93820","layer":3},{"info":"number node, value=4008","layer":4},{"info":"number node, value=3231","layer":4},{"info":"compute binary expreesion, left_input=4008, right_input=3231, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-93820, right_input=113, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=374780","layer":2},{"info":"compute binary expreesion, left_input=5984, right_input=374780, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=273","layer":0}],"base":2,"result_base":2,"text":"∑⇻≧((≉≮⫘↔100110011101)⩦(⇘≮⫘↔10110101100))⇻⋧≁(≮⫘↔1001111111011⊲⩕⊾≮⫘↔10111111111∠↢≮⫘↔111110101000⋥⋵⩄≮⫘↔110010011111)=≮⫘↔100010001","reverse_text":"≮⫘↔100010001=∑⇻≧((≉≮⫘↔100110011101)⩦(⇘≮⫘↔10110101100))⇻⋧≁(≮⫘↔1001111111011⊲⩕⊾≮⫘↔10111111111∠↢≮⫘↔111110101000⋥⋵⩄≮⫘↔110010011111)","cot":[{"info":"≉≮⫘↔100110011101=≮⫘↔101110110000","layer":3},{"info":"⇘≮⫘↔10110101100=≮⫘↔10011111001011110","layer":3},{"info":"≮⫘↔101110110000⩦≮⫘↔10011111001011110=≮⫘↔1011101100000","layer":2},{"info":"≮⫘↔1001111111011⊲⩕⊾≮⫘↔10111111111=≮⫘↔-10110111001111100","layer":3},{"info":"≮⫘↔111110101000⋥⋵⩄≮⫘↔110010011111=≮⫘↔1110001","layer":3},{"info":"≮⫘↔-10110111001111100∠↢≮⫘↔1110001=≮⫘↔1011011011111111100","layer":2},{"info":"≮⫘↔1011101100000⇻⋧≁≮⫘↔1011011011111111100=≮⫘↔-110111111","layer":1},{"info":"∑⇻≧≮⫘↔-110111111=≮⫘↔100010001","layer":0}]}
{"id":730,"expression_no_base_symbol":"(↴⪽⋼($2657$⊬⫿⊭)⪇≇⋚($1204$⪬∳))↙(∐⩳⋚($2692$⨚⇆$4643$))⇄($2545$⇄$2705$)⊔$3905$∥⊢⊲$4270$","expression":"(↴⪽⋼(≮⫘↔101001100001⊬⫿⊭)⪇≇⋚(≮⫘↔10010110100⪬∳))↙(∐⩳⋚(≮⫘↔101010000100⨚⇆≮⫘↔1001000100011))⇄(≮⫘↔100111110001⇄≮⫘↔101010010001)⊔≮⫘↔111101000001∥⊢⊲≮⫘↔1000010101110","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22724,"operation_count":11,"complexity_ratio":2065.818181818182,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2657,"base":2}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1204,"base":2}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2692,"base":2},"right_expr":{"type":"numeric_atoms","value":4643,"base":2}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2545,"base":2},"right_expr":{"type":"numeric_atoms","value":2705,"base":2}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3905,"base":2},"right_expr":{"type":"numeric_atoms","value":4270,"base":2}}}}},"used_operators":["yyfyN0ffXY","5TUYCnJO6w","3sJ7IOPOlU","v0DYgG9ikt","O9U3z1385E","3EYGwJThht","SL6IHkK8vl","lwHaAYXP2r","E4l6HwMY31","v1UQAVDJRr"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2657","layer":4},{"info":"compute unary expreesion, input=2657, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-7971","layer":3},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=-7971, right_input=-709, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=0","layer":1},{"info":"number node, value=2692","layer":4},{"info":"number node, value=4643","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=4643, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":2},{"info":"number node, value=2545","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=2545, right_input=2705, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3905","layer":4},{"info":"number node, value=4270","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=4270, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(↴⪽⋼(≮⫘↔101001100001⊬⫿⊭)⪇≇⋚(≮⫘↔10010110100⪬∳))↙(∐⩳⋚(≮⫘↔101010000100⨚⇆≮⫘↔1001000100011))⇄(≮⫘↔100111110001⇄≮⫘↔101010010001)⊔≮⫘↔111101000001∥⊢⊲≮⫘↔1000010101110=≮⫘↔0","reverse_text":"≮⫘↔0=(↴⪽⋼(≮⫘↔101001100001⊬⫿⊭)⪇≇⋚(≮⫘↔10010110100⪬∳))↙(∐⩳⋚(≮⫘↔101010000100⨚⇆≮⫘↔1001000100011))⇄(≮⫘↔100111110001⇄≮⫘↔101010010001)⊔≮⫘↔111101000001∥⊢⊲≮⫘↔1000010101110","cot":[{"info":"≮⫘↔101001100001⊬⫿⊭=≮⫘↔-1111100100011","layer":3},{"info":"≮⫘↔10010110100⪬∳=≮⫘↔-1011000101","layer":3},{"info":"≮⫘↔-1111100100011⪇≇⋚≮⫘↔-1011000101=≮⫘↔0","layer":2},{"info":"↴⪽⋼≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔101010000100⨚⇆≮⫘↔1001000100011=NaN","layer":3},{"info":"∐⩳⋚NaN=NaN","layer":2},{"info":"≮⫘↔100111110001⇄≮⫘↔101010010001=≮⫘↔0","layer":3},{"info":"≮⫘↔111101000001∥⊢⊲≮⫘↔1000010101110=NaN","layer":3},{"info":"≮⫘↔0⊔NaN=NaN","layer":2},{"info":"NaN⇄NaN=NaN","layer":1},{"info":"≮⫘↔0↙NaN=≮⫘↔0","layer":0}]}
{"id":731,"expression_no_base_symbol":"($2605$↓⨍⋜)⇡⇂($5198$∋$1034$)⪭(⨣⨃⇪($6175$⪪$2753$))≀⩗∶(⇈($1802$⋫))⋥⋵⩄(≦∁$3092$⊴$2254$)","expression":"(≮⫘↔101000101101↓⨍⋜)⇡⇂(≮⫘↔1010001001110∋≮⫘↔10000001010)⪭(⨣⨃⇪(≮⫘↔1100000011111⪪≮⫘↔101011000001))≀⩗∶(⇈(≮⫘↔11100001010⋫))⋥⋵⩄(≦∁≮⫘↔110000010100⊴≮⫘↔100011001110)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4743613,"operation_count":12,"complexity_ratio":395301.0833333333,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":2605,"base":2}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5198,"base":2},"right_expr":{"type":"numeric_atoms","value":1034,"base":2}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6175,"base":2},"right_expr":{"type":"numeric_atoms","value":2753,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1802,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3092,"base":2},"right_expr":{"type":"numeric_atoms","value":2254,"base":2}}}}},"used_operators":["8INZBEW696","j9kHMeSvPp","UMwdvZNt44","3DVzLFNsE9","ukq6epAj5P","AcOhelriW5","xD69zh8xqp","7t3wd0Fuz7","SLLxy00UIr","JL8yIekQnl","9ICcGScMcE","Nsiff2A1zJ"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","FU0Cs4j7VP","JclMnS0uGI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","tmPS8pqC7x","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2605","layer":4},{"info":"compute unary expreesion, input=2605, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=5198","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=5198, right_input=1034, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2359072","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=2359072, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"number node, value=6175","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=6175, right_input=2753, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-928514","layer":3},{"info":"compute unary expreesion, input=-928514, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1405, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1802","layer":3},{"info":"compute unary expreesion, input=1802, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=3092","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=3092, right_input=2254, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101000101101↓⨍⋜)⇡⇂(≮⫘↔1010001001110∋≮⫘↔10000001010)⪭(⨣⨃⇪(≮⫘↔1100000011111⪪≮⫘↔101011000001))≀⩗∶(⇈(≮⫘↔11100001010⋫))⋥⋵⩄(≦∁≮⫘↔110000010100⊴≮⫘↔100011001110)=NaN","reverse_text":"NaN=(≮⫘↔101000101101↓⨍⋜)⇡⇂(≮⫘↔1010001001110∋≮⫘↔10000001010)⪭(⨣⨃⇪(≮⫘↔1100000011111⪪≮⫘↔101011000001))≀⩗∶(⇈(≮⫘↔11100001010⋫))⋥⋵⩄(≦∁≮⫘↔110000010100⊴≮⫘↔100011001110)","cot":[{"info":"≮⫘↔101000101101↓⨍⋜=≮⫘↔1100110111110","layer":3},{"info":"≮⫘↔1010001001110∋≮⫘↔10000001010=≮⫘↔1000111111111100100000","layer":3},{"info":"≮⫘↔1100110111110⇡⇂≮⫘↔1000111111111100100000=NaN","layer":2},{"info":"≮⫘↔1100000011111⪪≮⫘↔101011000001=≮⫘↔-11100010101100000010","layer":3},{"info":"⨣⨃⇪≮⫘↔-11100010101100000010=≮⫘↔10101111101","layer":2},{"info":"NaN⪭≮⫘↔10101111101=≮⫘↔101","layer":1},{"info":"≮⫘↔11100001010⋫=≮⫘↔11100001010","layer":3},{"info":"⇈≮⫘↔11100001010=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔110000010100⊴≮⫘↔100011001110=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"≮⫘↔-110111111⋥⋵⩄NaN=NaN","layer":1},{"info":"≮⫘↔101≀⩗∶NaN=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"(($1378$∓⋝$1562$⫌⩉⩟$3329$⫣⪄⊒$1005$)⪘⨀)↳≱(($1094$∷$7565$)⫘(∜⨇$3657$)⨭⪣(⩩($1182$⪒⊣⊆$1776$)))","expression":"((≮⫘↔10101100010∓⋝≮⫘↔11000011010⫌⩉⩟≮⫘↔110100000001⫣⪄⊒≮⫘↔1111101101)⪘⨀)↳≱((≮⫘↔10001000110∷≮⫘↔1110110001101)⫘(∜⨇≮⫘↔111001001001)⨭⪣(⩩(≮⫘↔10010011110⪒⊣⊆≮⫘↔11011110000)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":48594,"operation_count":11,"complexity_ratio":4417.636363636364,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1378,"base":2},"right_expr":{"type":"numeric_atoms","value":1562,"base":2}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3329,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1094,"base":2},"right_expr":{"type":"numeric_atoms","value":7565,"base":2}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":3657,"base":2}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1182,"base":2},"right_expr":{"type":"numeric_atoms","value":1776,"base":2}}}}},"used_operators":["JwTKLfZU96","aA7tF3KVD3","XIIwhv8d0m","PoHhknlbAi","RabNbG55vr","kn8WO9XteQ","48vC8HMD2b","D3AQDKkPcf","uFPyJr306J","kMhfGuqI2H","eRqsBgTDFp"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","sdazOOVcIp","W4YGzv6Whe"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1562, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3329","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3329, right_input=1005, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6742","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-6742, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=296","layer":1},{"info":"number node, value=1094","layer":4},{"info":"number node, value=7565","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=7565, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=7565","layer":3},{"info":"number node, value=3657","layer":4},{"info":"compute unary expreesion, input=3657, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7565, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=8900845","layer":2},{"info":"number node, value=1182","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=1776, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2364","layer":3},{"info":"compute unary expreesion, input=2364, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8900845, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=296, right_input=-21, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101100010∓⋝≮⫘↔11000011010⫌⩉⩟≮⫘↔110100000001⫣⪄⊒≮⫘↔1111101101)⪘⨀)↳≱((≮⫘↔10001000110∷≮⫘↔1110110001101)⫘(∜⨇≮⫘↔111001001001)⨭⪣(⩩(≮⫘↔10010011110⪒⊣⊆≮⫘↔11011110000)))=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔10101100010∓⋝≮⫘↔11000011010⫌⩉⩟≮⫘↔110100000001⫣⪄⊒≮⫘↔1111101101)⪘⨀)↳≱((≮⫘↔10001000110∷≮⫘↔1110110001101)⫘(∜⨇≮⫘↔111001001001)⨭⪣(⩩(≮⫘↔10010011110⪒⊣⊆≮⫘↔11011110000)))","cot":[{"info":"≮⫘↔10101100010∓⋝≮⫘↔11000011010=≮⫘↔1000011","layer":3},{"info":"≮⫘↔110100000001⫣⪄⊒≮⫘↔1111101101=≮⫘↔-1101001010110","layer":3},{"info":"≮⫘↔1000011⫌⩉⩟≮⫘↔-1101001010110=≮⫘↔-110010","layer":2},{"info":"≮⫘↔-110010⪘⨀=≮⫘↔100101000","layer":1},{"info":"≮⫘↔10001000110∷≮⫘↔1110110001101=≮⫘↔1110110001101","layer":3},{"info":"∜⨇≮⫘↔111001001001=NaN","layer":3},{"info":"≮⫘↔1110110001101⫘NaN=≮⫘↔100001111101000011101101","layer":2},{"info":"≮⫘↔10010011110⪒⊣⊆≮⫘↔11011110000=≮⫘↔100100111100","layer":3},{"info":"⩩≮⫘↔100100111100=NaN","layer":2},{"info":"≮⫘↔100001111101000011101101⨭⪣NaN=≮⫘↔-10101","layer":1},{"info":"≮⫘↔100101000↳≱≮⫘↔-10101=≮⫘↔0","layer":0}]}
{"id":733,"expression_no_base_symbol":"(⊖∈$2736$)∴($3302$⪡$3520$)⫁⪎($7557$↱$2204$⊍⩺⋍$2264$⩧⪆$2532$)⪭($1499$∌$2875$⋣⋖($1291$∛≔)⪛⫼$3523$∴$5091$≠≀$1285$⪒⊣⊆$1754$)","expression":"(⊖∈≮⫘↔101010110000)∴(≮⫘↔110011100110⪡≮⫘↔110111000000)⫁⪎(≮⫘↔1110110000101↱≮⫘↔100010011100⊍⩺⋍≮⫘↔100011011000⩧⪆≮⫘↔100111100100)⪭(≮⫘↔10111011011∌≮⫘↔101100111011⋣⋖(≮⫘↔10100001011∛≔)⪛⫼≮⫘↔110111000011∴≮⫘↔1001111100011≠≀≮⫘↔10100000101⪒⊣⊆≮⫘↔11011011010)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5581,"operation_count":15,"complexity_ratio":372.06666666666666,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2736,"base":2}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3302,"base":2},"right_expr":{"type":"numeric_atoms","value":3520,"base":2}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":7557,"base":2},"right_expr":{"type":"numeric_atoms","value":2204,"base":2}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2264,"base":2},"right_expr":{"type":"numeric_atoms","value":2532,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1499,"base":2},"right_expr":{"type":"numeric_atoms","value":2875,"base":2}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1291,"base":2}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3523,"base":2},"right_expr":{"type":"numeric_atoms","value":5091,"base":2}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1285,"base":2},"right_expr":{"type":"numeric_atoms","value":1754,"base":2}}}}},"used_operators":["j9kHMeSvPp","xRrnTEsQ6j","hrf7POJlIJ","YFxL8Sc2Zy","oraRL2iQuh","OXDGMFPWZM","SR5kFfdi6N","Ikt5ks8PT7","hyuBjUqXlG","J0M6qkBnIM","8cLx32lpNA","mGnSCrte3L","IwW236VD4Y","eRqsBgTDFp"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eewbuw0ToL","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","sdazOOVcIp","W4YGzv6Whe"],"result":"≮⫘↔101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2736","layer":4},{"info":"compute unary expreesion, input=2736, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=49126","layer":3},{"info":"number node, value=3302","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=3302, right_input=3520, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=49126, right_input=107, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=99900","layer":2},{"info":"number node, value=7557","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=7557, right_input=2204, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-6090","layer":3},{"info":"number node, value=2264","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=2532, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2532","layer":3},{"info":"compute binary expreesion, left_input=-6090, right_input=-2532, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=99900, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"number node, value=1499","layer":4},{"info":"number node, value=2875","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=2875, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2875","layer":3},{"info":"number node, value=1291","layer":4},{"info":"compute unary expreesion, input=1291, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":3},{"info":"compute binary expreesion, left_input=-2875, right_input=-305287, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"number node, value=3523","layer":4},{"info":"number node, value=5091","layer":4},{"info":"compute binary expreesion, left_input=3523, right_input=5091, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8694","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=1754, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2570","layer":3},{"info":"compute binary expreesion, left_input=8694, right_input=2570, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-17082","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-17082, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1585","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1585, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":2,"result_base":2,"text":"(⊖∈≮⫘↔101010110000)∴(≮⫘↔110011100110⪡≮⫘↔110111000000)⫁⪎(≮⫘↔1110110000101↱≮⫘↔100010011100⊍⩺⋍≮⫘↔100011011000⩧⪆≮⫘↔100111100100)⪭(≮⫘↔10111011011∌≮⫘↔101100111011⋣⋖(≮⫘↔10100001011∛≔)⪛⫼≮⫘↔110111000011∴≮⫘↔1001111100011≠≀≮⫘↔10100000101⪒⊣⊆≮⫘↔11011011010)=≮⫘↔101","reverse_text":"≮⫘↔101=(⊖∈≮⫘↔101010110000)∴(≮⫘↔110011100110⪡≮⫘↔110111000000)⫁⪎(≮⫘↔1110110000101↱≮⫘↔100010011100⊍⩺⋍≮⫘↔100011011000⩧⪆≮⫘↔100111100100)⪭(≮⫘↔10111011011∌≮⫘↔101100111011⋣⋖(≮⫘↔10100001011∛≔)⪛⫼≮⫘↔110111000011∴≮⫘↔1001111100011≠≀≮⫘↔10100000101⪒⊣⊆≮⫘↔11011011010)","cot":[{"info":"⊖∈≮⫘↔101010110000=≮⫘↔1011111111100110","layer":3},{"info":"≮⫘↔110011100110⪡≮⫘↔110111000000=≮⫘↔1101011","layer":3},{"info":"≮⫘↔1011111111100110∴≮⫘↔1101011=≮⫘↔11000011000111100","layer":2},{"info":"≮⫘↔1110110000101↱≮⫘↔100010011100=≮⫘↔-1011111001010","layer":3},{"info":"≮⫘↔100011011000⩧⪆≮⫘↔100111100100=≮⫘↔-100111100100","layer":3},{"info":"≮⫘↔-1011111001010⊍⩺⋍≮⫘↔-100111100100=NaN","layer":2},{"info":"≮⫘↔11000011000111100⫁⪎NaN=NaN","layer":1},{"info":"≮⫘↔10111011011∌≮⫘↔101100111011=≮⫘↔-101100111011","layer":3},{"info":"≮⫘↔10100001011∛≔=≮⫘↔-1001010100010000111","layer":3},{"info":"≮⫘↔-101100111011⋣⋖≮⫘↔-1001010100010000111=≮⫘↔-1000001111","layer":2},{"info":"≮⫘↔110111000011∴≮⫘↔1001111100011=≮⫘↔10000111110110","layer":3},{"info":"≮⫘↔10100000101⪒⊣⊆≮⫘↔11011011010=≮⫘↔101000001010","layer":3},{"info":"≮⫘↔10000111110110≠≀≮⫘↔101000001010=≮⫘↔-100001010111010","layer":2},{"info":"≮⫘↔-1000001111⪛⫼≮⫘↔-100001010111010=≮⫘↔-11000110001","layer":1},{"info":"NaN⪭≮⫘↔-11000110001=≮⫘↔101","layer":0}]}
{"id":734,"expression_no_base_symbol":"((⩪∧⨌$3501$↳≱$4288$)⇍⊗($3450$≄⊠$2276$∠⫱($1109$⫭)))⊢((⫓⪴$1685$)⊬⨰$1313$⫁⪎$3436$⇄(⋼∭⪍(∂$3970$)))","expression":"((⩪∧⨌≮⫘↔110110101101↳≱≮⫘↔1000011000000)⇍⊗(≮⫘↔110101111010≄⊠≮⫘↔100011100100∠⫱(≮⫘↔10001010101⫭)))⊢((⫓⪴≮⫘↔11010010101)⊬⨰≮⫘↔10100100001⫁⪎≮⫘↔110101101100⇄(⋼∭⪍(∂≮⫘↔111110000010)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1954,"operation_count":13,"complexity_ratio":150.30769230769232,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3501,"base":2},"right_expr":{"type":"numeric_atoms","value":4288,"base":2}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3450,"base":2},"right_expr":{"type":"numeric_atoms","value":2276,"base":2}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1109,"base":2}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1685,"base":2}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1313,"base":2},"right_expr":{"type":"numeric_atoms","value":3436,"base":2}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3970,"base":2}}}}},"used_operators":["5twsqlHp2o","5uvYHDjeKN","6iOiAJX1F8","JwTKLfZU96","QvoQhV0rrE","vXNesLlMH1","t4WUHVGj7f","3EYGwJThht","s3Fd5m9Dh2","eLxqMNBOBk","xRrnTEsQ6j","DbCuESL50I","Uaa54Peajs"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"≮⫘↔11110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3501","layer":4},{"info":"number node, value=4288","layer":4},{"info":"compute binary expreesion, left_input=3501, right_input=4288, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=0","layer":2},{"info":"number node, value=3450","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=2276, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=41084","layer":3},{"info":"number node, value=1109","layer":4},{"info":"compute unary expreesion, input=1109, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=3568","layer":3},{"info":"compute binary expreesion, left_input=41084, right_input=3568, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=1685","layer":4},{"info":"compute unary expreesion, input=1685, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2839225","layer":3},{"info":"number node, value=1313","layer":4},{"info":"number node, value=3436","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=3436, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2123","layer":3},{"info":"compute binary expreesion, left_input=2839225, right_input=-2123, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=2829677","layer":2},{"info":"number node, value=3970","layer":4},{"info":"compute unary expreesion, input=3970, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2829677, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=244","layer":0}],"base":2,"result_base":2,"text":"((⩪∧⨌≮⫘↔110110101101↳≱≮⫘↔1000011000000)⇍⊗(≮⫘↔110101111010≄⊠≮⫘↔100011100100∠⫱(≮⫘↔10001010101⫭)))⊢((⫓⪴≮⫘↔11010010101)⊬⨰≮⫘↔10100100001⫁⪎≮⫘↔110101101100⇄(⋼∭⪍(∂≮⫘↔111110000010)))=≮⫘↔11110100","reverse_text":"≮⫘↔11110100=((⩪∧⨌≮⫘↔110110101101↳≱≮⫘↔1000011000000)⇍⊗(≮⫘↔110101111010≄⊠≮⫘↔100011100100∠⫱(≮⫘↔10001010101⫭)))⊢((⫓⪴≮⫘↔11010010101)⊬⨰≮⫘↔10100100001⫁⪎≮⫘↔110101101100⇄(⋼∭⪍(∂≮⫘↔111110000010)))","cot":[{"info":"≮⫘↔110110101101↳≱≮⫘↔1000011000000=≮⫘↔0","layer":3},{"info":"⩪∧⨌≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔110101111010≄⊠≮⫘↔100011100100=≮⫘↔1010000001111100","layer":3},{"info":"≮⫘↔10001010101⫭=≮⫘↔110111110000","layer":3},{"info":"≮⫘↔1010000001111100∠⫱≮⫘↔110111110000=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔0⇍⊗≮⫘↔10011010010=≮⫘↔-11110100","layer":1},{"info":"⫓⪴≮⫘↔11010010101=≮⫘↔1010110101001010111001","layer":3},{"info":"≮⫘↔10100100001⫁⪎≮⫘↔110101101100=≮⫘↔-100001001011","layer":3},{"info":"≮⫘↔1010110101001010111001⊬⨰≮⫘↔-100001001011=≮⫘↔1010110010110101101101","layer":2},{"info":"∂≮⫘↔111110000010=NaN","layer":3},{"info":"⋼∭⪍NaN=NaN","layer":2},{"info":"≮⫘↔1010110010110101101101⇄NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔-11110100⊢≮⫘↔0=≮⫘↔11110100","layer":0}]}
{"id":735,"expression_no_base_symbol":"(($6915$⨟⋌⩍$1478$)⨼⩣(⇋⊎⋝$3589$)⪹)∝(⩩($1187$⩌⋺$2645$⇮⋭$2745$⪛$4002$))","expression":"((≮⫘↔1101100000011⨟⋌⩍≮⫘↔10111000110)⨼⩣(⇋⊎⋝≮⫘↔111000000101)⪹)∝(⩩(≮⫘↔10010100011⩌⋺≮⫘↔101001010101⇮⋭≮⫘↔101010111001⪛≮⫘↔111110100010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9501,"operation_count":9,"complexity_ratio":1055.6666666666667,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6915,"base":2},"right_expr":{"type":"numeric_atoms","value":1478,"base":2}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3589,"base":2}}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1187,"base":2},"right_expr":{"type":"numeric_atoms","value":2645,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2745,"base":2},"right_expr":{"type":"numeric_atoms","value":4002,"base":2}}}}},"used_operators":["cTDWOvIxvz","B3sABdIn96","JxwMv5le6e","rGHVDoGpnC","CzM2PEoXns","kMhfGuqI2H","vkpjKywKVM","g7Hmc5v1ko","uFcxV4UQCh"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Tcnh7f0tEr","dWAJyo7jo9","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6915","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=6915, right_input=1478, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3589","layer":4},{"info":"compute unary expreesion, input=3589, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=nan","layer":1},{"info":"number node, value=1187","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=2645, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3953","layer":3},{"info":"number node, value=2745","layer":4},{"info":"number node, value=4002","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=4002, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2745","layer":3},{"info":"compute binary expreesion, left_input=-3953, right_input=2745, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1101100000011⨟⋌⩍≮⫘↔10111000110)⨼⩣(⇋⊎⋝≮⫘↔111000000101)⪹)∝(⩩(≮⫘↔10010100011⩌⋺≮⫘↔101001010101⇮⋭≮⫘↔101010111001⪛≮⫘↔111110100010))=NaN","reverse_text":"NaN=((≮⫘↔1101100000011⨟⋌⩍≮⫘↔10111000110)⨼⩣(⇋⊎⋝≮⫘↔111000000101)⪹)∝(⩩(≮⫘↔10010100011⩌⋺≮⫘↔101001010101⇮⋭≮⫘↔101010111001⪛≮⫘↔111110100010))","cot":[{"info":"≮⫘↔1101100000011⨟⋌⩍≮⫘↔10111000110=NaN","layer":3},{"info":"⇋⊎⋝≮⫘↔111000000101=NaN","layer":3},{"info":"NaN⨼⩣NaN=NaN","layer":2},{"info":"NaN⪹=NaN","layer":1},{"info":"≮⫘↔10010100011⩌⋺≮⫘↔101001010101=≮⫘↔-111101110001","layer":3},{"info":"≮⫘↔101010111001⪛≮⫘↔111110100010=≮⫘↔101010111001","layer":3},{"info":"≮⫘↔-111101110001⇮⋭≮⫘↔101010111001=≮⫘↔1000011","layer":2},{"info":"⩩≮⫘↔1000011=NaN","layer":1},{"info":"NaN∝NaN=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"($4258$⪟⇏$1020$⩧⪆$1913$⊋$1735$⩺⪪($1488$⫦⪉$7251$)⨥⫆($3113$⊭∹↮))⨲∙","expression":"(≮⫘↔1000010100010⪟⇏≮⫘↔1111111100⩧⪆≮⫘↔11101111001⊋≮⫘↔11011000111⩺⪪(≮⫘↔10111010000⫦⪉≮⫘↔1110001010011)⨥⫆(≮⫘↔110000101001⊭∹↮))⨲∙","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26156,"operation_count":8,"complexity_ratio":3269.5,"tree":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4258,"base":2},"right_expr":{"type":"numeric_atoms","value":1020,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1913,"base":2},"right_expr":{"type":"numeric_atoms","value":1735,"base":2}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1488,"base":2},"right_expr":{"type":"numeric_atoms","value":7251,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3113,"base":2}}}}},"used_operators":["cRahaglYVE","uvdQJvN4PV","Ikt5ks8PT7","GODebY97qR","W4tP9CfskL","yXekIHxTD4","wscyQdcy20","xNBdhnnwKq"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eewbuw0ToL","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4258","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=1020, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1913","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1735, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=2872212","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2872212, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2872212","layer":2},{"info":"number node, value=1488","layer":4},{"info":"number node, value=7251","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=7251, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1924","layer":3},{"info":"number node, value=3113","layer":4},{"info":"compute unary expreesion, input=3113, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6226","layer":3},{"info":"compute binary expreesion, left_input=1924, right_input=6226, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=12328","layer":2},{"info":"compute binary expreesion, left_input=-2872212, right_input=12328, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute unary expreesion, input=-1818, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000010100010⪟⇏≮⫘↔1111111100⩧⪆≮⫘↔11101111001⊋≮⫘↔11011000111⩺⪪(≮⫘↔10111010000⫦⪉≮⫘↔1110001010011)⨥⫆(≮⫘↔110000101001⊭∹↮))⨲∙=NaN","reverse_text":"NaN=(≮⫘↔1000010100010⪟⇏≮⫘↔1111111100⩧⪆≮⫘↔11101111001⊋≮⫘↔11011000111⩺⪪(≮⫘↔10111010000⫦⪉≮⫘↔1110001010011)⨥⫆(≮⫘↔110000101001⊭∹↮))⨲∙","cot":[{"info":"≮⫘↔1000010100010⪟⇏≮⫘↔1111111100=≮⫘↔-1","layer":3},{"info":"≮⫘↔11101111001⊋≮⫘↔11011000111=≮⫘↔1010111101001110010100","layer":3},{"info":"≮⫘↔-1⩧⪆≮⫘↔1010111101001110010100=≮⫘↔-1010111101001110010100","layer":2},{"info":"≮⫘↔10111010000⫦⪉≮⫘↔1110001010011=≮⫘↔11110000100","layer":3},{"info":"≮⫘↔110000101001⊭∹↮=≮⫘↔1100001010010","layer":3},{"info":"≮⫘↔11110000100⨥⫆≮⫘↔1100001010010=≮⫘↔11000000101000","layer":2},{"info":"≮⫘↔-1010111101001110010100⩺⪪≮⫘↔11000000101000=≮⫘↔-11100011010","layer":1},{"info":"≮⫘↔-11100011010⨲∙=NaN","layer":0}]}
{"id":737,"expression_no_base_symbol":"(≋($1033$⪡$1447$))⫯⪬∳(($2281$⋖∅⋲)⋆⋳)⋥⋵⩄(($1366$⇴∐$4036$%($1547$⨀⨒))⊬⫿⊭)","expression":"(≋(≮⫘↔10000001001⪡≮⫘↔10110100111))⫯⪬∳((≮⫘↔100011101001⋖∅⋲)⋆⋳)⋥⋵⩄((≮⫘↔10101010110⇴∐≮⫘↔111111000100%(≮⫘↔11000001011⨀⨒))⊬⫿⊭)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":329,"operation_count":10,"complexity_ratio":32.9,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1033,"base":2},"right_expr":{"type":"numeric_atoms","value":1447,"base":2}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":2281,"base":2}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1366,"base":2},"right_expr":{"type":"numeric_atoms","value":4036,"base":2}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":1547,"base":2}}}}},"used_operators":["7t3wd0Fuz7","d7ASUq0ydm","61wBmkZwlr","oraRL2iQuh","6MpZysEj17","L95AwlJzhO","v0DYgG9ikt","k8jYdgA6NY","HnzytWxmAO","j6NVkjMzuk"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","7j4O788W3g","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=1447, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=107","layer":2},{"info":"number node, value=2281","layer":4},{"info":"compute unary expreesion, input=2281, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute unary expreesion, input=-384231, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=768430","layer":2},{"info":"compute binary expreesion, left_input=107, right_input=768430, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-767862","layer":1},{"info":"number node, value=1366","layer":4},{"info":"number node, value=4036","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=4036, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1547","layer":4},{"info":"compute unary expreesion, input=1547, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=18390","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18390, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-767862, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≋(≮⫘↔10000001001⪡≮⫘↔10110100111))⫯⪬∳((≮⫘↔100011101001⋖∅⋲)⋆⋳)⋥⋵⩄((≮⫘↔10101010110⇴∐≮⫘↔111111000100%(≮⫘↔11000001011⨀⨒))⊬⫿⊭)=NaN","reverse_text":"NaN=(≋(≮⫘↔10000001001⪡≮⫘↔10110100111))⫯⪬∳((≮⫘↔100011101001⋖∅⋲)⋆⋳)⋥⋵⩄((≮⫘↔10101010110⇴∐≮⫘↔111111000100%(≮⫘↔11000001011⨀⨒))⊬⫿⊭)","cot":[{"info":"≮⫘↔10000001001⪡≮⫘↔10110100111=≮⫘↔1101011","layer":3},{"info":"≋≮⫘↔1101011=≮⫘↔1101011","layer":2},{"info":"≮⫘↔100011101001⋖∅⋲=≮⫘↔-1011101110011100111","layer":3},{"info":"≮⫘↔-1011101110011100111⋆⋳=≮⫘↔10111011100110101110","layer":2},{"info":"≮⫘↔1101011⫯⪬∳≮⫘↔10111011100110101110=≮⫘↔-10111011011101110110","layer":1},{"info":"≮⫘↔10101010110⇴∐≮⫘↔111111000100=NaN","layer":3},{"info":"≮⫘↔11000001011⨀⨒=≮⫘↔100011111010110","layer":3},{"info":"NaN%≮⫘↔100011111010110=NaN","layer":2},{"info":"NaN⊬⫿⊭=NaN","layer":1},{"info":"≮⫘↔-10111011011101110110⋥⋵⩄NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"((⨆≐≲$4525$)⨑≵⋬$4747$⊲⩕⊾$6045$)+⇶⊼((⋼∭⪍$7167$)∠⫱$1468$⪔$1896$)∠⫱(($2253$⇮⋭$4866$)⊬⫿⊭)⊉↱≁($3381$⪘⫢$6117$⩵∡(⊽$1250$))","expression":"((⨆≐≲≮⫘↔1000110101101)⨑≵⋬≮⫘↔1001010001011⊲⩕⊾≮⫘↔1011110011101)+⇶⊼((⋼∭⪍≮⫘↔1101111111111)∠⫱≮⫘↔10110111100⪔≮⫘↔11101101000)∠⫱((≮⫘↔100011001101⇮⋭≮⫘↔1001100000010)⊬⫿⊭)⊉↱≁(≮⫘↔110100110101⪘⫢≮⫘↔1011111100101⩵∡(⊽≮⫘↔10011100010))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2299,"operation_count":14,"complexity_ratio":164.21428571428572,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4525,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4747,"base":2},"right_expr":{"type":"numeric_atoms","value":6045,"base":2}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":7167,"base":2}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1468,"base":2},"right_expr":{"type":"numeric_atoms","value":1896,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2253,"base":2},"right_expr":{"type":"numeric_atoms","value":4866,"base":2}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3381,"base":2},"right_expr":{"type":"numeric_atoms","value":6117,"base":2}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1250,"base":2}}}}},"used_operators":["QvoQhV0rrE","TpPTUOHfaN","XnXgA4xnOs","Bi9z9uYZqW","DmTXOeWf9t","DbCuESL50I","GjBEYRfMaF","w2P8NbNXyL","v0DYgG9ikt","vkpjKywKVM","Y7wcNGrDQJ","oacrs7FA3X","QxG7OkqoLX"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","AHs5Up7iyr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","NTOWxs364D","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4525","layer":4},{"info":"compute unary expreesion, input=4525, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=49188120","layer":3},{"info":"number node, value=4747","layer":4},{"info":"number node, value=6045","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=6045, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-133032","layer":3},{"info":"compute binary expreesion, left_input=49188120, right_input=-133032, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=247140299","layer":2},{"info":"number node, value=7167","layer":4},{"info":"compute unary expreesion, input=7167, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-26928","layer":3},{"info":"number node, value=1468","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=1896, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-26928, right_input=450, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-27378","layer":2},{"info":"compute binary expreesion, left_input=247140299, right_input=-27378, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2253","layer":4},{"info":"number node, value=4866","layer":4},{"info":"compute binary expreesion, left_input=2253, right_input=4866, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=685","layer":2},{"info":"number node, value=3381","layer":4},{"info":"number node, value=6117","layer":4},{"info":"compute binary expreesion, left_input=3381, right_input=6117, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6638","layer":3},{"info":"number node, value=1250","layer":4},{"info":"compute unary expreesion, input=1250, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4022","layer":3},{"info":"compute binary expreesion, left_input=6638, right_input=4022, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-9375","layer":2},{"info":"compute binary expreesion, left_input=685, right_input=-9375, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=63048","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=63048, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"((⨆≐≲≮⫘↔1000110101101)⨑≵⋬≮⫘↔1001010001011⊲⩕⊾≮⫘↔1011110011101)+⇶⊼((⋼∭⪍≮⫘↔1101111111111)∠⫱≮⫘↔10110111100⪔≮⫘↔11101101000)∠⫱((≮⫘↔100011001101⇮⋭≮⫘↔1001100000010)⊬⫿⊭)⊉↱≁(≮⫘↔110100110101⪘⫢≮⫘↔1011111100101⩵∡(⊽≮⫘↔10011100010))=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=((⨆≐≲≮⫘↔1000110101101)⨑≵⋬≮⫘↔1001010001011⊲⩕⊾≮⫘↔1011110011101)+⇶⊼((⋼∭⪍≮⫘↔1101111111111)∠⫱≮⫘↔10110111100⪔≮⫘↔11101101000)∠⫱((≮⫘↔100011001101⇮⋭≮⫘↔1001100000010)⊬⫿⊭)⊉↱≁(≮⫘↔110100110101⪘⫢≮⫘↔1011111100101⩵∡(⊽≮⫘↔10011100010))","cot":[{"info":"⨆≐≲≮⫘↔1000110101101=≮⫘↔10111011101000110100011000","layer":3},{"info":"≮⫘↔1001010001011⊲⩕⊾≮⫘↔1011110011101=≮⫘↔-100000011110101000","layer":3},{"info":"≮⫘↔10111011101000110100011000⨑≵⋬≮⫘↔-100000011110101000=≮⫘↔1110101110110000111111001011","layer":2},{"info":"⋼∭⪍≮⫘↔1101111111111=≮⫘↔-110100100110000","layer":3},{"info":"≮⫘↔10110111100⪔≮⫘↔11101101000=≮⫘↔111000010","layer":3},{"info":"≮⫘↔-110100100110000∠⫱≮⫘↔111000010=≮⫘↔-110101011110010","layer":2},{"info":"≮⫘↔1110101110110000111111001011+⇶⊼≮⫘↔-110101011110010=NaN","layer":1},{"info":"≮⫘↔100011001101⇮⋭≮⫘↔1001100000010=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔-111011001⊬⫿⊭=≮⫘↔1010101101","layer":2},{"info":"≮⫘↔110100110101⪘⫢≮⫘↔1011111100101=≮⫘↔1100111101110","layer":3},{"info":"⊽≮⫘↔10011100010=≮⫘↔111110110110","layer":3},{"info":"≮⫘↔1100111101110⩵∡≮⫘↔111110110110=≮⫘↔-10010010011111","layer":2},{"info":"≮⫘↔1010101101⊉↱≁≮⫘↔-10010010011111=≮⫘↔1111011001001000","layer":1},{"info":"NaN∠⫱≮⫘↔1111011001001000=≮⫘↔10011010010","layer":0}]}
{"id":739,"expression_no_base_symbol":"⇁⨣⪵($5096$⫁$1185$⋫)⫉⨲⊜($4889$≨$6334$⫒⫫($1264$⨐⩸⫘$1090$))","expression":"⇁⨣⪵(≮⫘↔1001111101000⫁≮⫘↔10010100001⋫)⫉⨲⊜(≮⫘↔1001100011001≨≮⫘↔1100010111110⫒⫫(≮⫘↔10011110000⨐⩸⫘≮⫘↔10001000010))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":382,"operation_count":7,"complexity_ratio":54.57142857142857,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5096,"base":2},"right_expr":{"type":"numeric_atoms","value":1185,"base":2}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4889,"base":2},"right_expr":{"type":"numeric_atoms","value":6334,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1264,"base":2},"right_expr":{"type":"numeric_atoms","value":1090,"base":2}}}}},"used_operators":["inkyxCbjAn","WhqkvtTD3t","JL8yIekQnl","0ajvFaJAv0","6Ko8hGgeMq","0KMCeP1Jsh","fu6greOZ01"],"dependent_operators":["B5M0gjZbta","eewbuw0ToL","zVYPLywUTj","tmPS8pqC7x","cHh1gJQ2o6","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","3ViojmjbAp"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5096","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=5096, right_input=1185, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=160","layer":2},{"info":"number node, value=4889","layer":4},{"info":"number node, value=6334","layer":4},{"info":"compute binary expreesion, left_input=4889, right_input=6334, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-46414","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1090, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-46414, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(≮⫘↔1001111101000⫁≮⫘↔10010100001⋫)⫉⨲⊜(≮⫘↔1001100011001≨≮⫘↔1100010111110⫒⫫(≮⫘↔10011110000⨐⩸⫘≮⫘↔10001000010))=≮⫘↔0","reverse_text":"≮⫘↔0=⇁⨣⪵(≮⫘↔1001111101000⫁≮⫘↔10010100001⋫)⫉⨲⊜(≮⫘↔1001100011001≨≮⫘↔1100010111110⫒⫫(≮⫘↔10011110000⨐⩸⫘≮⫘↔10001000010))","cot":[{"info":"≮⫘↔1001111101000⫁≮⫘↔10010100001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⋫=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1001100011001≨≮⫘↔1100010111110=≮⫘↔-1011010101001110","layer":3},{"info":"≮⫘↔10011110000⨐⩸⫘≮⫘↔10001000010=NaN","layer":3},{"info":"≮⫘↔-1011010101001110⫒⫫NaN=NaN","layer":2},{"info":"≮⫘↔10100000⫉⨲⊜NaN=≮⫘↔0","layer":1},{"info":"⇁⨣⪵≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":740,"expression_no_base_symbol":"(($2625$-$1747$)⫒⫫$3377$≚⊃≕$3704$⫦⪉(∷≠($1544$⩼⇪↪$1294$)))↬(∑⇻≧($2500$⊝))∘(≘($2178$≬⇓$2645$))","expression":"((≮⫘↔101001000001-≮⫘↔11011010011)⫒⫫≮⫘↔110100110001≚⊃≕≮⫘↔111001111000⫦⪉(∷≠(≮⫘↔11000001000⩼⇪↪≮⫘↔10100001110)))↬(∑⇻≧(≮⫘↔100111000100⊝))∘(≘(≮⫘↔100010000010≬⇓≮⫘↔101001010101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":771038,"operation_count":12,"complexity_ratio":64253.166666666664,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2625,"base":2},"right_expr":{"type":"numeric_atoms","value":1747,"base":2}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3377,"base":2},"right_expr":{"type":"numeric_atoms","value":3704,"base":2}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1544,"base":2},"right_expr":{"type":"numeric_atoms","value":1294,"base":2}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":2500,"base":2}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2178,"base":2},"right_expr":{"type":"numeric_atoms","value":2645,"base":2}}}}},"used_operators":["B5M0gjZbta","wscyQdcy20","6Ko8hGgeMq","rysDP5nf3Z","Bmrmz2XGnR","QiR2Oyf5Xj","ocnLzx9CaJ","Z5m6OM72h2","l1M9WJ3V7u","O6EZ0fifGK","tcjXMdvYtA","jWTQ2TZYIH"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2625","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=2625, right_input=1747, op_id = rysDP5nf3Z binary_op_definition= 'None', output=878","layer":3},{"info":"number node, value=3377","layer":4},{"info":"number node, value=3704","layer":4},{"info":"compute binary expreesion, left_input=3377, right_input=3704, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=878, right_input=67, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=1544","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=1294, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6753","layer":3},{"info":"compute unary expreesion, input=-6753, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-6753","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6753, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"number node, value=2500","layer":4},{"info":"compute unary expreesion, input=2500, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2500","layer":3},{"info":"compute unary expreesion, input=2500, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=2178","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=2645, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=13918","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=13918, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-1704","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1704, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001000001-≮⫘↔11011010011)⫒⫫≮⫘↔110100110001≚⊃≕≮⫘↔111001111000⫦⪉(∷≠(≮⫘↔11000001000⩼⇪↪≮⫘↔10100001110)))↬(∑⇻≧(≮⫘↔100111000100⊝))∘(≘(≮⫘↔100010000010≬⇓≮⫘↔101001010101))=NaN","reverse_text":"NaN=((≮⫘↔101001000001-≮⫘↔11011010011)⫒⫫≮⫘↔110100110001≚⊃≕≮⫘↔111001111000⫦⪉(∷≠(≮⫘↔11000001000⩼⇪↪≮⫘↔10100001110)))↬(∑⇻≧(≮⫘↔100111000100⊝))∘(≘(≮⫘↔100010000010≬⇓≮⫘↔101001010101))","cot":[{"info":"≮⫘↔101001000001-≮⫘↔11011010011=≮⫘↔1101101110","layer":3},{"info":"≮⫘↔110100110001≚⊃≕≮⫘↔111001111000=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1101101110⫒⫫≮⫘↔1000011=NaN","layer":2},{"info":"≮⫘↔11000001000⩼⇪↪≮⫘↔10100001110=≮⫘↔-1101001100001","layer":3},{"info":"∷≠≮⫘↔-1101001100001=≮⫘↔-1101001100001","layer":2},{"info":"NaN⫦⪉≮⫘↔-1101001100001=NaN","layer":1},{"info":"≮⫘↔100111000100⊝=≮⫘↔100111000100","layer":3},{"info":"∑⇻≧≮⫘↔100111000100=≮⫘↔-1101010100","layer":2},{"info":"≮⫘↔100010000010≬⇓≮⫘↔101001010101=≮⫘↔-10110","layer":3},{"info":"≘≮⫘↔-10110=≮⫘↔11011001011110","layer":2},{"info":"≮⫘↔-1101010100∘≮⫘↔11011001011110=≮⫘↔-11010101000","layer":1},{"info":"NaN↬≮⫘↔-11010101000=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"((⊄⩳↩$6316$⫣⪄⊒$1084$)⪇≇⋚(⇖⫷⫕$3577$⨚⇆$1743$))↳≱(($3357$⨵⪆$1326$)⪕($3367$⨕⋳)≣⋋)","expression":"((⊄⩳↩≮⫘↔1100010101100⫣⪄⊒≮⫘↔10000111100)⪇≇⋚(⇖⫷⫕≮⫘↔110111111001⨚⇆≮⫘↔11011001111))↳≱((≮⫘↔110100011101⨵⪆≮⫘↔10100101110)⪕(≮⫘↔110100100111⨕⋳)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26027,"operation_count":10,"complexity_ratio":2602.7,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6316,"base":2},"right_expr":{"type":"numeric_atoms","value":1084,"base":2}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3577,"base":2},"right_expr":{"type":"numeric_atoms","value":1743,"base":2}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3357,"base":2},"right_expr":{"type":"numeric_atoms","value":1326,"base":2}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":3367,"base":2}}}}},"used_operators":["JwTKLfZU96","3sJ7IOPOlU","8w2t5hMYqp","RabNbG55vr","UHmRx3INFg","lwHaAYXP2r","Tcnh7f0tEr","umQnsF7QlU","2DQ55sFlQl","4X4GscPmMf"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6316","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=6316, right_input=1084, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1716","layer":3},{"info":"compute unary expreesion, input=-1716, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=5148","layer":2},{"info":"number node, value=3577","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=1743, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=5148, right_input=2822, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3357","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=3357, right_input=1326, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3367","layer":4},{"info":"compute unary expreesion, input=3367, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=215924","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=215924, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((⊄⩳↩≮⫘↔1100010101100⫣⪄⊒≮⫘↔10000111100)⪇≇⋚(⇖⫷⫕≮⫘↔110111111001⨚⇆≮⫘↔11011001111))↳≱((≮⫘↔110100011101⨵⪆≮⫘↔10100101110)⪕(≮⫘↔110100100111⨕⋳)≣⋋)=≮⫘↔0","reverse_text":"≮⫘↔0=((⊄⩳↩≮⫘↔1100010101100⫣⪄⊒≮⫘↔10000111100)⪇≇⋚(⇖⫷⫕≮⫘↔110111111001⨚⇆≮⫘↔11011001111))↳≱((≮⫘↔110100011101⨵⪆≮⫘↔10100101110)⪕(≮⫘↔110100100111⨕⋳)≣⋋)","cot":[{"info":"≮⫘↔1100010101100⫣⪄⊒≮⫘↔10000111100=≮⫘↔-11010110100","layer":3},{"info":"⊄⩳↩≮⫘↔-11010110100=≮⫘↔1010000011100","layer":2},{"info":"≮⫘↔110111111001⨚⇆≮⫘↔11011001111=NaN","layer":3},{"info":"⇖⫷⫕NaN=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔1010000011100⪇≇⋚≮⫘↔101100000110=≮⫘↔0","layer":1},{"info":"≮⫘↔110100011101⨵⪆≮⫘↔10100101110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔110100100111⨕⋳=≮⫘↔110100101101110100","layer":3},{"info":"≮⫘↔10100000⪕≮⫘↔110100101101110100=≮⫘↔-110111","layer":2},{"info":"≮⫘↔-110111≣⋋=≮⫘↔0","layer":1},{"info":"≮⫘↔0↳≱≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":742,"expression_no_base_symbol":"⊀(($4039$⪉⨛$1414$)↫)⨜⨶(⪁⇼($2972$⩖⊿$3288$))","expression":"⊀((≮⫘↔111111000111⪉⨛≮⫘↔10110000110)↫)⨜⨶(⪁⇼(≮⫘↔101110011100⩖⊿≮⫘↔110011011000))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":97,"operation_count":6,"complexity_ratio":16.166666666666668,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4039,"base":2},"right_expr":{"type":"numeric_atoms","value":1414,"base":2}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2972,"base":2},"right_expr":{"type":"numeric_atoms","value":3288,"base":2}}}}},"used_operators":["oPMjh9089D","HiPekx5b7W","uPb5QRN0te","EWw2JM7wp4","ZNVVrZ94lY","RZ5CV9rWsJ"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"≮⫘↔100101111000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4039","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=4039, right_input=1414, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=10918","layer":3},{"info":"compute unary expreesion, input=10918, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"number node, value=2972","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=3288, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=14334","layer":3},{"info":"compute unary expreesion, input=14334, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=422, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=4915","layer":1},{"info":"compute unary expreesion, input=4915, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=19398","layer":0}],"base":2,"result_base":2,"text":"⊀((≮⫘↔111111000111⪉⨛≮⫘↔10110000110)↫)⨜⨶(⪁⇼(≮⫘↔101110011100⩖⊿≮⫘↔110011011000))=≮⫘↔100101111000110","reverse_text":"≮⫘↔100101111000110=⊀((≮⫘↔111111000111⪉⨛≮⫘↔10110000110)↫)⨜⨶(⪁⇼(≮⫘↔101110011100⩖⊿≮⫘↔110011011000))","cot":[{"info":"≮⫘↔111111000111⪉⨛≮⫘↔10110000110=≮⫘↔10101010100110","layer":3},{"info":"≮⫘↔10101010100110↫=≮⫘↔10100000","layer":2},{"info":"≮⫘↔101110011100⩖⊿≮⫘↔110011011000=≮⫘↔11011111111110","layer":3},{"info":"⪁⇼≮⫘↔11011111111110=≮⫘↔110100110","layer":2},{"info":"≮⫘↔10100000⨜⨶≮⫘↔110100110=≮⫘↔1001100110011","layer":1},{"info":"⊀≮⫘↔1001100110011=≮⫘↔100101111000110","layer":0}]}
{"id":743,"expression_no_base_symbol":"($2336$≁↽≥$2063$⪍↜⋙$1302$⩁⩘$1091$∕⩚($2691$⊔$1952$)⊴$1274$⩣⫁∢$2462$)≠≀((⋎⨆$3387$)⇆⨓≜)⊬⨰($7962$⨿$5471$⩚⊴⇥($2836$+⇶⊼$1026$))","expression":"(≮⫘↔100100100000≁↽≥≮⫘↔100000001111⪍↜⋙≮⫘↔10100010110⩁⩘≮⫘↔10001000011∕⩚(≮⫘↔101010000011⊔≮⫘↔11110100000)⊴≮⫘↔10011111010⩣⫁∢≮⫘↔100110011110)≠≀((⋎⨆≮⫘↔110100111011)⇆⨓≜)⊬⨰(≮⫘↔1111100011010⨿≮⫘↔1010101011111⩚⊴⇥(≮⫘↔101100010100+⇶⊼≮⫘↔10000000010))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13153,"operation_count":14,"complexity_ratio":939.5,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2336,"base":2},"right_expr":{"type":"numeric_atoms","value":2063,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1302,"base":2},"right_expr":{"type":"numeric_atoms","value":1091,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2691,"base":2},"right_expr":{"type":"numeric_atoms","value":1952,"base":2}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1274,"base":2},"right_expr":{"type":"numeric_atoms","value":2462,"base":2}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":3387,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":7962,"base":2},"right_expr":{"type":"numeric_atoms","value":5471,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2836,"base":2},"right_expr":{"type":"numeric_atoms","value":1026,"base":2}}}}},"used_operators":["IwW236VD4Y","z9ffQ9n5Zr","L05ObWFQCd","ncHt1X6cMc","gub5Cegaqo","Nsiff2A1zJ","E4l6HwMY31","JDUIKTTSIa","s3Fd5m9Dh2","KvvgdUaMHJ","E64sFOc4tB","NTOWxs364D","abYXlopdE0","TpPTUOHfaN"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","DpFCA1CohY","IWmyXbctLI","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","Uaa54Peajs","KYD54nUTWz","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","AHs5Up7iyr"],"result":"≮⫘↔10100000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2336","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=2336, right_input=2063, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=36086","layer":3},{"info":"number node, value=1302","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=1091, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5312","layer":3},{"info":"compute binary expreesion, left_input=36086, right_input=5312, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=61548","layer":2},{"info":"number node, value=2691","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=1952, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=12742","layer":3},{"info":"number node, value=1274","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=2462, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2387","layer":3},{"info":"compute binary expreesion, left_input=12742, right_input=-2387, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=61548, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=3387","layer":4},{"info":"compute unary expreesion, input=3387, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=7962","layer":4},{"info":"number node, value=5471","layer":4},{"info":"compute binary expreesion, left_input=7962, right_input=5471, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2836","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=1026, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=1280","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100100100000≁↽≥≮⫘↔100000001111⪍↜⋙≮⫘↔10100010110⩁⩘≮⫘↔10001000011∕⩚(≮⫘↔101010000011⊔≮⫘↔11110100000)⊴≮⫘↔10011111010⩣⫁∢≮⫘↔100110011110)≠≀((⋎⨆≮⫘↔110100111011)⇆⨓≜)⊬⨰(≮⫘↔1111100011010⨿≮⫘↔1010101011111⩚⊴⇥(≮⫘↔101100010100+⇶⊼≮⫘↔10000000010))=≮⫘↔10100000000","reverse_text":"≮⫘↔10100000000=(≮⫘↔100100100000≁↽≥≮⫘↔100000001111⪍↜⋙≮⫘↔10100010110⩁⩘≮⫘↔10001000011∕⩚(≮⫘↔101010000011⊔≮⫘↔11110100000)⊴≮⫘↔10011111010⩣⫁∢≮⫘↔100110011110)≠≀((⋎⨆≮⫘↔110100111011)⇆⨓≜)⊬⨰(≮⫘↔1111100011010⨿≮⫘↔1010101011111⩚⊴⇥(≮⫘↔101100010100+⇶⊼≮⫘↔10000000010))","cot":[{"info":"≮⫘↔100100100000≁↽≥≮⫘↔100000001111=≮⫘↔1000110011110110","layer":3},{"info":"≮⫘↔10100010110⩁⩘≮⫘↔10001000011=≮⫘↔1010011000000","layer":3},{"info":"≮⫘↔1000110011110110⪍↜⋙≮⫘↔1010011000000=≮⫘↔1111000001101100","layer":2},{"info":"≮⫘↔101010000011⊔≮⫘↔11110100000=≮⫘↔11000111000110","layer":3},{"info":"≮⫘↔10011111010⩣⫁∢≮⫘↔100110011110=≮⫘↔-100101010011","layer":3},{"info":"≮⫘↔11000111000110⊴≮⫘↔-100101010011=NaN","layer":2},{"info":"≮⫘↔1111000001101100∕⩚NaN=≮⫘↔-111100111","layer":1},{"info":"⋎⨆≮⫘↔110100111011=≮⫘↔0","layer":3},{"info":"≮⫘↔0⇆⨓≜=NaN","layer":2},{"info":"≮⫘↔1111100011010⨿≮⫘↔1010101011111=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔101100010100+⇶⊼≮⫘↔10000000010=NaN","layer":3},{"info":"≮⫘↔-100111111⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⊬⨰NaN=NaN","layer":1},{"info":"≮⫘↔-111100111≠≀NaN=≮⫘↔10100000000","layer":0}]}
{"id":744,"expression_no_base_symbol":"($6537$⪭$1266$)⩁⩘$1508$⪝$7243$⊾⪯⋞($6649$⋖∅⋲)⪪(⨈⫕$4885$)⫡⨏(↴⪽⋼(⫛⫱⨽$3793$)+⇶⊼$3912$⩁⩘$7012$)","expression":"(≮⫘↔1100110001001⪭≮⫘↔10011110010)⩁⩘≮⫘↔10111100100⪝≮⫘↔1110001001011⊾⪯⋞(≮⫘↔1100111111001⋖∅⋲)⪪(⨈⫕≮⫘↔1001100010101)⫡⨏(↴⪽⋼(⫛⫱⨽≮⫘↔111011010001)+⇶⊼≮⫘↔111101001000⩁⩘≮⫘↔1101101100100)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2985,"operation_count":12,"complexity_ratio":248.75,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6537,"base":2},"right_expr":{"type":"numeric_atoms","value":1266,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1508,"base":2},"right_expr":{"type":"numeric_atoms","value":7243,"base":2}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":6649,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4885,"base":2}}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3793,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3912,"base":2},"right_expr":{"type":"numeric_atoms","value":7012,"base":2}}}}},"used_operators":["QMFrweE19q","HK0tfVPux8","gub5Cegaqo","j9kHMeSvPp","wicAB68Tmb","xD69zh8xqp","L95AwlJzhO","megm06wKyl","5TUYCnJO6w","TpPTUOHfaN","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","IWmyXbctLI","COABgblf1C","xUOZtlo3hN","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","FU0Cs4j7VP","JclMnS0uGI","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6537","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=6537, right_input=1266, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1508","layer":4},{"info":"number node, value=7243","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=7243, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=237, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=1896","layer":2},{"info":"number node, value=6649","layer":4},{"info":"compute unary expreesion, input=6649, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=4885","layer":4},{"info":"compute unary expreesion, input=4885, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=-21, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute binary expreesion, left_input=1896, right_input=-6206, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":1},{"info":"number node, value=3793","layer":4},{"info":"compute unary expreesion, input=3793, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3912","layer":4},{"info":"number node, value=7012","layer":4},{"info":"compute binary expreesion, left_input=3912, right_input=7012, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=28996","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=28996, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100110001001⪭≮⫘↔10011110010)⩁⩘≮⫘↔10111100100⪝≮⫘↔1110001001011⊾⪯⋞(≮⫘↔1100111111001⋖∅⋲)⪪(⨈⫕≮⫘↔1001100010101)⫡⨏(↴⪽⋼(⫛⫱⨽≮⫘↔111011010001)+⇶⊼≮⫘↔111101001000⩁⩘≮⫘↔1101101100100)=NaN","reverse_text":"NaN=(≮⫘↔1100110001001⪭≮⫘↔10011110010)⩁⩘≮⫘↔10111100100⪝≮⫘↔1110001001011⊾⪯⋞(≮⫘↔1100111111001⋖∅⋲)⪪(⨈⫕≮⫘↔1001100010101)⫡⨏(↴⪽⋼(⫛⫱⨽≮⫘↔111011010001)+⇶⊼≮⫘↔111101001000⩁⩘≮⫘↔1101101100100)","cot":[{"info":"≮⫘↔1100110001001⪭≮⫘↔10011110010=≮⫘↔101","layer":3},{"info":"≮⫘↔10111100100⪝≮⫘↔1110001001011=≮⫘↔11101101","layer":3},{"info":"≮⫘↔101⩁⩘≮⫘↔11101101=≮⫘↔11101101000","layer":2},{"info":"≮⫘↔1100111111001⋖∅⋲=≮⫘↔-1011101110011100111","layer":3},{"info":"⨈⫕≮⫘↔1001100010101=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-1011101110011100111⪪≮⫘↔-10101=≮⫘↔-1100000111110","layer":2},{"info":"≮⫘↔11101101000⊾⪯⋞≮⫘↔-1100000111110=≮⫘↔-1100110100","layer":1},{"info":"⫛⫱⨽≮⫘↔111011010001=≮⫘↔0","layer":3},{"info":"≮⫘↔111101001000⩁⩘≮⫘↔1101101100100=≮⫘↔111000101000100","layer":3},{"info":"≮⫘↔0+⇶⊼≮⫘↔111000101000100=NaN","layer":2},{"info":"↴⪽⋼NaN=NaN","layer":1},{"info":"≮⫘↔-1100110100⫡⨏NaN=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"(∤↝($3273$↙$2198$))⋛(($4331$⇡)⋷(⩷$6035$))⪭($1576$⊲⩕⊾$4206$↺($2263$⨸⪁$3306$)⨳⩥⨓($1689$⫥∨⫟$7167$)≦↸($1909$⪎⩰))","expression":"(∤↝(≮⫘↔110011001001↙≮⫘↔100010010110))⋛((≮⫘↔1000011101011⇡)⋷(⩷≮⫘↔1011110010011))⪭(≮⫘↔11000101000⊲⩕⊾≮⫘↔1000001101110↺(≮⫘↔100011010111⨸⪁≮⫘↔110011101010)⨳⩥⨓(≮⫘↔11010011001⫥∨⫟≮⫘↔1101111111111)≦↸(≮⫘↔11101110101⪎⩰))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2769,"operation_count":14,"complexity_ratio":197.78571428571428,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3273,"base":2},"right_expr":{"type":"numeric_atoms","value":2198,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":4331,"base":2}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":6035,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1576,"base":2},"right_expr":{"type":"numeric_atoms","value":4206,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2263,"base":2},"right_expr":{"type":"numeric_atoms","value":3306,"base":2}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1689,"base":2},"right_expr":{"type":"numeric_atoms","value":7167,"base":2}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1909,"base":2}}}}},"used_operators":["j9kHMeSvPp","YbUVn0Rbpy","3UMq87Qwqg","yyfyN0ffXY","23Mk6UjR3U","UqFzSgLMvQ","1h0rLqGiFr","nCS4ZIUYfx","7j4O788W3g","DmTXOeWf9t","g55IO6H4Gj","RygbFNSyEJ","KYD54nUTWz","2ufhKmSs5H"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","8HhzD0ZcuI","rGHVDoGpnC","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"≮⫘↔100000100111110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3273","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=2198, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6594","layer":3},{"info":"compute unary expreesion, input=-6594, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-6594","layer":2},{"info":"number node, value=4331","layer":4},{"info":"compute unary expreesion, input=4331, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=6035","layer":4},{"info":"compute unary expreesion, input=6035, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-72499","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=-72499, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5834","layer":2},{"info":"compute binary expreesion, left_input=-6594, right_input=5834, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-133791","layer":1},{"info":"number node, value=1576","layer":4},{"info":"number node, value=4206","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=4206, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-63906","layer":3},{"info":"number node, value=2263","layer":4},{"info":"number node, value=3306","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=3306, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11138","layer":3},{"info":"compute binary expreesion, left_input=-63906, right_input=11138, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11138","layer":2},{"info":"number node, value=1689","layer":4},{"info":"number node, value=7167","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=7167, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1909","layer":4},{"info":"compute unary expreesion, input=1909, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-34, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11138, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-133791, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=133617","layer":0}],"base":2,"result_base":2,"text":"(∤↝(≮⫘↔110011001001↙≮⫘↔100010010110))⋛((≮⫘↔1000011101011⇡)⋷(⩷≮⫘↔1011110010011))⪭(≮⫘↔11000101000⊲⩕⊾≮⫘↔1000001101110↺(≮⫘↔100011010111⨸⪁≮⫘↔110011101010)⨳⩥⨓(≮⫘↔11010011001⫥∨⫟≮⫘↔1101111111111)≦↸(≮⫘↔11101110101⪎⩰))=≮⫘↔100000100111110001","reverse_text":"≮⫘↔100000100111110001=(∤↝(≮⫘↔110011001001↙≮⫘↔100010010110))⋛((≮⫘↔1000011101011⇡)⋷(⩷≮⫘↔1011110010011))⪭(≮⫘↔11000101000⊲⩕⊾≮⫘↔1000001101110↺(≮⫘↔100011010111⨸⪁≮⫘↔110011101010)⨳⩥⨓(≮⫘↔11010011001⫥∨⫟≮⫘↔1101111111111)≦↸(≮⫘↔11101110101⪎⩰))","cot":[{"info":"≮⫘↔110011001001↙≮⫘↔100010010110=≮⫘↔-1100111000010","layer":3},{"info":"∤↝≮⫘↔-1100111000010=≮⫘↔-1100111000010","layer":2},{"info":"≮⫘↔1000011101011⇡=≮⫘↔-101101100101","layer":3},{"info":"⩷≮⫘↔1011110010011=≮⫘↔-10001101100110011","layer":3},{"info":"≮⫘↔-101101100101⋷≮⫘↔-10001101100110011=≮⫘↔1011011001010","layer":2},{"info":"≮⫘↔-1100111000010⋛≮⫘↔1011011001010=≮⫘↔-100000101010011111","layer":1},{"info":"≮⫘↔11000101000⊲⩕⊾≮⫘↔1000001101110=≮⫘↔-1111100110100010","layer":3},{"info":"≮⫘↔100011010111⨸⪁≮⫘↔110011101010=≮⫘↔10101110000010","layer":3},{"info":"≮⫘↔-1111100110100010↺≮⫘↔10101110000010=≮⫘↔10101110000010","layer":2},{"info":"≮⫘↔11010011001⫥∨⫟≮⫘↔1101111111111=NaN","layer":3},{"info":"≮⫘↔11101110101⪎⩰=≮⫘↔-100010","layer":3},{"info":"NaN≦↸≮⫘↔-100010=NaN","layer":2},{"info":"≮⫘↔10101110000010⨳⩥⨓NaN=NaN","layer":1},{"info":"≮⫘↔-100000101010011111⪭NaN=≮⫘↔100000100111110001","layer":0}]}
{"id":746,"expression_no_base_symbol":"$3748$⨚⇆$2099$≭($3548$⩨$3582$)⫰⋱($1040$⨓$1880$)≨(∓$4645$)⋻⩜⩜($3641$⫢⨠$2270$⨐⩸⫘(↘$3805$)⫌⩉⩟(⪹(∂⩏⊆$3696$)))","expression":"≮⫘↔111010100100⨚⇆≮⫘↔100000110011≭(≮⫘↔110111011100⩨≮⫘↔110111111110)⫰⋱(≮⫘↔10000010000⨓≮⫘↔11101011000)≨(∓≮⫘↔1001000100101)⋻⩜⩜(≮⫘↔111000111001⫢⨠≮⫘↔100011011110⨐⩸⫘(↘≮⫘↔111011011101)⫌⩉⩟(⪹(∂⩏⊆≮⫘↔111001110000)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":180046,"operation_count":14,"complexity_ratio":12860.42857142857,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3748,"base":2},"right_expr":{"type":"numeric_atoms","value":2099,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3548,"base":2},"right_expr":{"type":"numeric_atoms","value":3582,"base":2}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1040,"base":2},"right_expr":{"type":"numeric_atoms","value":1880,"base":2}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":4645,"base":2}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3641,"base":2},"right_expr":{"type":"numeric_atoms","value":2270,"base":2}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3805,"base":2}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":3696,"base":2}}}}},"used_operators":["oDCm7WA9JY","6o9Blt3TJ6","rxpJgHHUmx","lwHaAYXP2r","2DlMacCsIx","0KMCeP1Jsh","3ViojmjbAp","OwUj7dcsQK","XIIwhv8d0m","fu6greOZ01","xlXykHWxX1","LdNpr8hQHL","USyYr0JgAa","8WDwsbhb0R"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","AHs5Up7iyr","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","3ViojmjbAp","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","uFcxV4UQCh","tifHPKVTfV","14qkJME0vr","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3748","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=2099, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3548","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=3548, right_input=3582, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1880, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1883","layer":3},{"info":"number node, value=4645","layer":4},{"info":"compute unary expreesion, input=4645, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-74547","layer":3},{"info":"compute binary expreesion, left_input=-1883, right_input=-74547, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=4422","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4422, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=3641","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=3641, right_input=2270, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3805","layer":4},{"info":"compute unary expreesion, input=3805, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=277","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=277, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-280","layer":2},{"info":"number node, value=3696","layer":4},{"info":"compute unary expreesion, input=3696, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-11167","layer":3},{"info":"compute unary expreesion, input=-11167, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=11347","layer":2},{"info":"compute binary expreesion, left_input=-280, right_input=11347, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔111010100100⨚⇆≮⫘↔100000110011≭(≮⫘↔110111011100⩨≮⫘↔110111111110)⫰⋱(≮⫘↔10000010000⨓≮⫘↔11101011000)≨(∓≮⫘↔1001000100101)⋻⩜⩜(≮⫘↔111000111001⫢⨠≮⫘↔100011011110⨐⩸⫘(↘≮⫘↔111011011101)⫌⩉⩟(⪹(∂⩏⊆≮⫘↔111001110000)))=NaN","reverse_text":"NaN=≮⫘↔111010100100⨚⇆≮⫘↔100000110011≭(≮⫘↔110111011100⩨≮⫘↔110111111110)⫰⋱(≮⫘↔10000010000⨓≮⫘↔11101011000)≨(∓≮⫘↔1001000100101)⋻⩜⩜(≮⫘↔111000111001⫢⨠≮⫘↔100011011110⨐⩸⫘(↘≮⫘↔111011011101)⫌⩉⩟(⪹(∂⩏⊆≮⫘↔111001110000)))","cot":[{"info":"≮⫘↔111010100100⨚⇆≮⫘↔100000110011=NaN","layer":3},{"info":"≮⫘↔110111011100⩨≮⫘↔110111111110=≮⫘↔-11","layer":3},{"info":"NaN≭≮⫘↔-11=NaN","layer":2},{"info":"≮⫘↔10000010000⨓≮⫘↔11101011000=≮⫘↔-11101011011","layer":3},{"info":"∓≮⫘↔1001000100101=≮⫘↔-10010001100110011","layer":3},{"info":"≮⫘↔-11101011011≨≮⫘↔-10010001100110011=≮⫘↔1000101000110","layer":2},{"info":"NaN⫰⋱≮⫘↔1000101000110=NaN","layer":1},{"info":"≮⫘↔111000111001⫢⨠≮⫘↔100011011110=≮⫘↔10100000","layer":3},{"info":"↘≮⫘↔111011011101=≮⫘↔100010101","layer":3},{"info":"≮⫘↔10100000⨐⩸⫘≮⫘↔100010101=≮⫘↔-100011000","layer":2},{"info":"∂⩏⊆≮⫘↔111001110000=≮⫘↔-10101110011111","layer":3},{"info":"⪹≮⫘↔-10101110011111=≮⫘↔10110001010011","layer":2},{"info":"≮⫘↔-100011000⫌⩉⩟≮⫘↔10110001010011=≮⫘↔-110010","layer":1},{"info":"NaN⋻⩜⩜≮⫘↔-110010=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"((($4887$⊭↱$1021$)⨹)⪁(⇉-⫰($8593$⫦⪉$2225$)))⇼⇔∾($6276$↤⩊$4340$⨑⩅≇($1109$⩺⪪$2515$)-($5572$⫍⨯↯)≀⩗∶($4970$↯⫤))","expression":"(((≮⫘↔1001100010111⊭↱≮⫘↔1111111101)⨹)⪁(⇉-⫰(≮⫘↔10000110010001⫦⪉≮⫘↔100010110001)))⇼⇔∾(≮⫘↔1100010000100↤⩊≮⫘↔1000011110100⨑⩅≇(≮⫘↔10001010101⩺⪪≮⫘↔100111010011)-(≮⫘↔1010111000100⫍⨯↯)≀⩗∶(≮⫘↔1001101101010↯⫤))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3744,"operation_count":13,"complexity_ratio":288.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4887,"base":2},"right_expr":{"type":"numeric_atoms","value":1021,"base":2}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":8593,"base":2},"right_expr":{"type":"numeric_atoms","value":2225,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6276,"base":2},"right_expr":{"type":"numeric_atoms","value":4340,"base":2}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1109,"base":2},"right_expr":{"type":"numeric_atoms","value":2515,"base":2}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":5572,"base":2}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":4970,"base":2}}}}},"used_operators":["tifHPKVTfV","I7sXao9hZE","UnCoSGIALn","COABgblf1C","IGFM8TAlm9","wscyQdcy20","rysDP5nf3Z","h92wMvzauj","13rbtpv6ld","uvdQJvN4PV","8INZBEW696","ZcwmYACASQ","VwlE7vj6HS"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4887","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=4887, right_input=1021, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7727","layer":3},{"info":"compute unary expreesion, input=-7727, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":2},{"info":"number node, value=8593","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=8593, right_input=2225, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-12286","layer":3},{"info":"compute unary expreesion, input=-12286, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=6276","layer":4},{"info":"number node, value=4340","layer":4},{"info":"compute binary expreesion, left_input=6276, right_input=4340, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=2515, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"number node, value=5572","layer":4},{"info":"compute unary expreesion, input=5572, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=5539","layer":3},{"info":"number node, value=4970","layer":4},{"info":"compute unary expreesion, input=4970, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5539, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=935","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=935, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1001100010111⊭↱≮⫘↔1111111101)⨹)⪁(⇉-⫰(≮⫘↔10000110010001⫦⪉≮⫘↔100010110001)))⇼⇔∾(≮⫘↔1100010000100↤⩊≮⫘↔1000011110100⨑⩅≇(≮⫘↔10001010101⩺⪪≮⫘↔100111010011)-(≮⫘↔1010111000100⫍⨯↯)≀⩗∶(≮⫘↔1001101101010↯⫤))=NaN","reverse_text":"NaN=(((≮⫘↔1001100010111⊭↱≮⫘↔1111111101)⨹)⪁(⇉-⫰(≮⫘↔10000110010001⫦⪉≮⫘↔100010110001)))⇼⇔∾(≮⫘↔1100010000100↤⩊≮⫘↔1000011110100⨑⩅≇(≮⫘↔10001010101⩺⪪≮⫘↔100111010011)-(≮⫘↔1010111000100⫍⨯↯)≀⩗∶(≮⫘↔1001101101010↯⫤))","cot":[{"info":"≮⫘↔1001100010111⊭↱≮⫘↔1111111101=≮⫘↔-1111000101111","layer":3},{"info":"≮⫘↔-1111000101111⨹=NaN","layer":2},{"info":"≮⫘↔10000110010001⫦⪉≮⫘↔100010110001=≮⫘↔-10111111111110","layer":3},{"info":"⇉-⫰≮⫘↔-10111111111110=≮⫘↔10100","layer":2},{"info":"NaN⪁≮⫘↔10100=NaN","layer":1},{"info":"≮⫘↔1100010000100↤⩊≮⫘↔1000011110100=NaN","layer":3},{"info":"≮⫘↔10001010101⩺⪪≮⫘↔100111010011=≮⫘↔-11100011010","layer":3},{"info":"NaN⨑⩅≇≮⫘↔-11100011010=≮⫘↔1110100111","layer":2},{"info":"≮⫘↔1010111000100⫍⨯↯=≮⫘↔1010110100011","layer":3},{"info":"≮⫘↔1001101101010↯⫤=≮⫘↔0","layer":3},{"info":"≮⫘↔1010110100011≀⩗∶≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1110100111-≮⫘↔0=≮⫘↔1110100111","layer":1},{"info":"NaN⇼⇔∾≮⫘↔1110100111=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"(($4549$≬⋮$1725$)≬⇓(⇨$2250$)⋷($6940$⪄$5416$)⪒⊣⊆($1175$⨸⪁$3038$))⨸⪁($7364$⊔$3667$∑⇟⊟($5273$∙∹∝$1214$)⊭∹↮)","expression":"((≮⫘↔1000111000101≬⋮≮⫘↔11010111101)≬⇓(⇨≮⫘↔100011001010)⋷(≮⫘↔1101100011100⪄≮⫘↔1010100101000)⪒⊣⊆(≮⫘↔10010010111⨸⪁≮⫘↔101111011110))⨸⪁(≮⫘↔1110011000100⊔≮⫘↔111001010011∑⇟⊟(≮⫘↔1010010011001∙∹∝≮⫘↔10010111110)⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":157,"operation_count":12,"complexity_ratio":13.083333333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4549,"base":2},"right_expr":{"type":"numeric_atoms","value":1725,"base":2}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2250,"base":2}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6940,"base":2},"right_expr":{"type":"numeric_atoms","value":5416,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1175,"base":2},"right_expr":{"type":"numeric_atoms","value":3038,"base":2}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":7364,"base":2},"right_expr":{"type":"numeric_atoms","value":3667,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5273,"base":2},"right_expr":{"type":"numeric_atoms","value":1214,"base":2}}}}},"used_operators":["g55IO6H4Gj","23Mk6UjR3U","jWTQ2TZYIH","kbkesczE7y","G9tJMlZ94a","eRqsBgTDFp","SUmda5xLS4","xNBdhnnwKq","U7g4x0WXJJ","E4l6HwMY31","HmxsFra2vL"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"≮⫘↔11101111101110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4549","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=1725, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=6940","layer":4},{"info":"number node, value=5416","layer":4},{"info":"compute binary expreesion, left_input=6940, right_input=5416, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1044873","layer":3},{"info":"number node, value=1175","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=3038, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8426","layer":3},{"info":"compute binary expreesion, left_input=-1044873, right_input=8426, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2106700","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=2106700, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=44","layer":1},{"info":"number node, value=7364","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=7364, right_input=3667, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=30663","layer":3},{"info":"number node, value=5273","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=5273, right_input=1214, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=30663, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=30663","layer":2},{"info":"compute unary expreesion, input=30663, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=61326","layer":1},{"info":"compute binary expreesion, left_input=44, right_input=61326, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=122740","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000111000101≬⋮≮⫘↔11010111101)≬⇓(⇨≮⫘↔100011001010)⋷(≮⫘↔1101100011100⪄≮⫘↔1010100101000)⪒⊣⊆(≮⫘↔10010010111⨸⪁≮⫘↔101111011110))⨸⪁(≮⫘↔1110011000100⊔≮⫘↔111001010011∑⇟⊟(≮⫘↔1010010011001∙∹∝≮⫘↔10010111110)⊭∹↮)=≮⫘↔11101111101110100","reverse_text":"≮⫘↔11101111101110100=((≮⫘↔1000111000101≬⋮≮⫘↔11010111101)≬⇓(⇨≮⫘↔100011001010)⋷(≮⫘↔1101100011100⪄≮⫘↔1010100101000)⪒⊣⊆(≮⫘↔10010010111⨸⪁≮⫘↔101111011110))⨸⪁(≮⫘↔1110011000100⊔≮⫘↔111001010011∑⇟⊟(≮⫘↔1010010011001∙∹∝≮⫘↔10010111110)⊭∹↮)","cot":[{"info":"≮⫘↔1000111000101≬⋮≮⫘↔11010111101=≮⫘↔1101100100","layer":3},{"info":"⇨≮⫘↔100011001010=≮⫘↔0","layer":3},{"info":"≮⫘↔1101100100≬⇓≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"≮⫘↔1101100011100⪄≮⫘↔1010100101000=≮⫘↔-11111111000110001001","layer":3},{"info":"≮⫘↔10010010111⨸⪁≮⫘↔101111011110=≮⫘↔10000011101010","layer":3},{"info":"≮⫘↔-11111111000110001001⪒⊣⊆≮⫘↔10000011101010=≮⫘↔1000000010010101001100","layer":2},{"info":"≮⫘↔-10110⋷≮⫘↔1000000010010101001100=≮⫘↔101100","layer":1},{"info":"≮⫘↔1110011000100⊔≮⫘↔111001010011=≮⫘↔111011111000111","layer":3},{"info":"≮⫘↔1010010011001∙∹∝≮⫘↔10010111110=≮⫘↔0","layer":3},{"info":"≮⫘↔111011111000111∑⇟⊟≮⫘↔0=≮⫘↔111011111000111","layer":2},{"info":"≮⫘↔111011111000111⊭∹↮=≮⫘↔1110111110001110","layer":1},{"info":"≮⫘↔101100⨸⪁≮⫘↔1110111110001110=≮⫘↔11101111101110100","layer":0}]}
{"id":749,"expression_no_base_symbol":"(⇙⪊(↨⩢⫨(⇵⪽$3948$)))⊧↖","expression":"(⇙⪊(↨⩢⫨(⇵⪽≮⫘↔111101101100)))⊧↖","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":118,"operation_count":4,"complexity_ratio":29.5,"tree":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3948,"base":2}}}}},"used_operators":["EKiFHuOFxO","pB6Fcnrjim","Z5CJsN7DuW","ZGCBLdVRRX"],"dependent_operators":["5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","U7g4x0WXJJ"],"result":"≮⫘↔-101100111000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=-2872","layer":0}],"base":2,"result_base":2,"text":"(⇙⪊(↨⩢⫨(⇵⪽≮⫘↔111101101100)))⊧↖=≮⫘↔-101100111000","reverse_text":"≮⫘↔-101100111000=(⇙⪊(↨⩢⫨(⇵⪽≮⫘↔111101101100)))⊧↖","cot":[{"info":"⇵⪽≮⫘↔111101101100=NaN","layer":3},{"info":"↨⩢⫨NaN=≮⫘↔0","layer":2},{"info":"⇙⪊≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔0⊧↖=≮⫘↔-101100111000","layer":0}]}
{"id":750,"expression_no_base_symbol":"(⊆⋠($1148$⊓⋫))⩖⊿($3790$⩦$8323$⩌⋺($4754$∠⫱$2717$))⨵⪆($1712$∑⇟⊟$2387$)⪥$1095$⊕∕$1850$⨳⩥⨓($1708$⊔$4432$⇆⨓≜)","expression":"(⊆⋠(≮⫘↔10001111100⊓⋫))⩖⊿(≮⫘↔111011001110⩦≮⫘↔10000010000011⩌⋺(≮⫘↔1001010010010∠⫱≮⫘↔101010011101))⨵⪆(≮⫘↔11010110000∑⇟⊟≮⫘↔100101010011)⪥≮⫘↔10001000111⊕∕≮⫘↔11100111010⨳⩥⨓(≮⫘↔11010101100⊔≮⫘↔1000101010000⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":388,"operation_count":13,"complexity_ratio":29.846153846153847,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1148,"base":2}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3790,"base":2},"right_expr":{"type":"numeric_atoms","value":8323,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4754,"base":2},"right_expr":{"type":"numeric_atoms","value":2717,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1712,"base":2},"right_expr":{"type":"numeric_atoms","value":2387,"base":2}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1095,"base":2},"right_expr":{"type":"numeric_atoms","value":1850,"base":2}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1708,"base":2},"right_expr":{"type":"numeric_atoms","value":4432,"base":2}}}}},"used_operators":["2DQ55sFlQl","RZ5CV9rWsJ","EBhcHTkKd8","IqGBaFP0uj","g7Hmc5v1ko","0kmYd0q39Y","QvoQhV0rrE","nCS4ZIUYfx","QbnwKVWMIQ","U7g4x0WXJJ","9cloC0Ngie","KvvgdUaMHJ","E4l6HwMY31"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1276","layer":3},{"info":"compute unary expreesion, input=-1276, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"number node, value=3790","layer":4},{"info":"number node, value=8323","layer":4},{"info":"compute binary expreesion, left_input=3790, right_input=8323, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7580","layer":3},{"info":"number node, value=4754","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=2717, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=7580, right_input=1234, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8935","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-8935, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-87478","layer":1},{"info":"number node, value=1712","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=2387, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1850, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1095","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1095, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":2},{"info":"number node, value=1708","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=4432, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=23176","layer":3},{"info":"compute unary expreesion, input=23176, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-87478, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⊆⋠(≮⫘↔10001111100⊓⋫))⩖⊿(≮⫘↔111011001110⩦≮⫘↔10000010000011⩌⋺(≮⫘↔1001010010010∠⫱≮⫘↔101010011101))⨵⪆(≮⫘↔11010110000∑⇟⊟≮⫘↔100101010011)⪥≮⫘↔10001000111⊕∕≮⫘↔11100111010⨳⩥⨓(≮⫘↔11010101100⊔≮⫘↔1000101010000⇆⨓≜)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⊆⋠(≮⫘↔10001111100⊓⋫))⩖⊿(≮⫘↔111011001110⩦≮⫘↔10000010000011⩌⋺(≮⫘↔1001010010010∠⫱≮⫘↔101010011101))⨵⪆(≮⫘↔11010110000∑⇟⊟≮⫘↔100101010011)⪥≮⫘↔10001000111⊕∕≮⫘↔11100111010⨳⩥⨓(≮⫘↔11010101100⊔≮⫘↔1000101010000⇆⨓≜)","cot":[{"info":"≮⫘↔10001111100⊓⋫=≮⫘↔-10011111100","layer":3},{"info":"⊆⋠≮⫘↔-10011111100=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔111011001110⩦≮⫘↔10000010000011=≮⫘↔1110110011100","layer":3},{"info":"≮⫘↔1001010010010∠⫱≮⫘↔101010011101=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1110110011100⩌⋺≮⫘↔10011010010=≮⫘↔-10001011100111","layer":2},{"info":"≮⫘↔111110001011⩖⊿≮⫘↔-10001011100111=≮⫘↔-10101010110110110","layer":1},{"info":"≮⫘↔11010110000∑⇟⊟≮⫘↔100101010011=NaN","layer":3},{"info":"≮⫘↔10001000111⊕∕≮⫘↔11100111010=≮⫘↔10001000111","layer":3},{"info":"NaN⪥≮⫘↔10001000111=NaN","layer":2},{"info":"≮⫘↔11010101100⊔≮⫘↔1000101010000=≮⫘↔101101010001000","layer":3},{"info":"≮⫘↔101101010001000⇆⨓≜=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"≮⫘↔-10101010110110110⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":751,"expression_no_base_symbol":"((⪹(∤$2762$))⪁($1008$⊲⩕⊾$6322$)↳≱($7705$↱$5104$))⋆⋳","expression":"((⪹(∤≮⫘↔101011001010))⪁(≮⫘↔1111110000⊲⩕⊾≮⫘↔1100010110010)↳≱(≮⫘↔1111000011001↱≮⫘↔1001111110000))⋆⋳","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5222,"operation_count":7,"complexity_ratio":746.0,"tree":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2762,"base":2}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1008,"base":2},"right_expr":{"type":"numeric_atoms","value":6322,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":7705,"base":2},"right_expr":{"type":"numeric_atoms","value":5104,"base":2}}}}},"used_operators":["6MpZysEj17","I7sXao9hZE","USyYr0JgAa","k2HlF1dBQh","JwTKLfZU96","DmTXOeWf9t","SR5kFfdi6N"],"dependent_operators":["9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2762","layer":4},{"info":"compute unary expreesion, input=2762, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=171","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=6322","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=6322, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-75978","layer":3},{"info":"number node, value=7705","layer":4},{"info":"number node, value=5104","layer":4},{"info":"compute binary expreesion, left_input=7705, right_input=5104, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-14790","layer":3},{"info":"compute binary expreesion, left_input=-75978, right_input=-14790, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=171, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪹(∤≮⫘↔101011001010))⪁(≮⫘↔1111110000⊲⩕⊾≮⫘↔1100010110010)↳≱(≮⫘↔1111000011001↱≮⫘↔1001111110000))⋆⋳=NaN","reverse_text":"NaN=((⪹(∤≮⫘↔101011001010))⪁(≮⫘↔1111110000⊲⩕⊾≮⫘↔1100010110010)↳≱(≮⫘↔1111000011001↱≮⫘↔1001111110000))⋆⋳","cot":[{"info":"∤≮⫘↔101011001010=≮⫘↔1001","layer":3},{"info":"⪹≮⫘↔1001=≮⫘↔10101011","layer":2},{"info":"≮⫘↔1111110000⊲⩕⊾≮⫘↔1100010110010=≮⫘↔-10010100011001010","layer":3},{"info":"≮⫘↔1111000011001↱≮⫘↔1001111110000=≮⫘↔-11100111000110","layer":3},{"info":"≮⫘↔-10010100011001010↳≱≮⫘↔-11100111000110=≮⫘↔0","layer":2},{"info":"≮⫘↔10101011⪁≮⫘↔0=NaN","layer":1},{"info":"NaN⋆⋳=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"((↥$1203$)⨚⇆($1451$⫻⋑⊟)⪛⫼(⇈($3718$⪉⨛$2032$)))∋((⨦⪝($1511$↺$1041$))⊲⩕⊾$4541$↤⩊$3372$⨔⇊($5630$*$2200$))","expression":"((↥≮⫘↔10010110011)⨚⇆(≮⫘↔10110101011⫻⋑⊟)⪛⫼(⇈(≮⫘↔111010000110⪉⨛≮⫘↔11111110000)))∋((⨦⪝(≮⫘↔10111100111↺≮⫘↔10000010001))⊲⩕⊾≮⫘↔1000110111101↤⩊≮⫘↔110100101100⨔⇊(≮⫘↔1010111111110*≮⫘↔100010011000))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3939,"operation_count":13,"complexity_ratio":303.0,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1203,"base":2}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1451,"base":2}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3718,"base":2},"right_expr":{"type":"numeric_atoms","value":2032,"base":2}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1511,"base":2},"right_expr":{"type":"numeric_atoms","value":1041,"base":2}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4541,"base":2},"right_expr":{"type":"numeric_atoms","value":3372,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5630,"base":2},"right_expr":{"type":"numeric_atoms","value":2200,"base":2}}}}},"used_operators":["ukq6epAj5P","hyuBjUqXlG","lwHaAYXP2r","A8NUZmVepG","o575Zjdmzy","SLLxy00UIr","EWw2JM7wp4","DmTXOeWf9t","SUjycxNXIR","7j4O788W3g","JclMnS0uGI","13rbtpv6ld","9HNa5Wba9A"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":4},{"info":"compute unary expreesion, input=1203, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":3},{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2392","layer":3},{"info":"compute binary expreesion, left_input=30, right_input=-2392, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=3718","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=3718, right_input=2032, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=9337","layer":3},{"info":"compute unary expreesion, input=9337, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"number node, value=1511","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=1041, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1041","layer":3},{"info":"compute unary expreesion, input=1041, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=4541","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=4541, right_input=3372, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=5630","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=5630, right_input=2200, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12386000","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12386000, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=12386000","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=12386000, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-49544314","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-49544314, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↥≮⫘↔10010110011)⨚⇆(≮⫘↔10110101011⫻⋑⊟)⪛⫼(⇈(≮⫘↔111010000110⪉⨛≮⫘↔11111110000)))∋((⨦⪝(≮⫘↔10111100111↺≮⫘↔10000010001))⊲⩕⊾≮⫘↔1000110111101↤⩊≮⫘↔110100101100⨔⇊(≮⫘↔1010111111110*≮⫘↔100010011000))=NaN","reverse_text":"NaN=((↥≮⫘↔10010110011)⨚⇆(≮⫘↔10110101011⫻⋑⊟)⪛⫼(⇈(≮⫘↔111010000110⪉⨛≮⫘↔11111110000)))∋((⨦⪝(≮⫘↔10111100111↺≮⫘↔10000010001))⊲⩕⊾≮⫘↔1000110111101↤⩊≮⫘↔110100101100⨔⇊(≮⫘↔1010111111110*≮⫘↔100010011000))","cot":[{"info":"↥≮⫘↔10010110011=≮⫘↔11110","layer":3},{"info":"≮⫘↔10110101011⫻⋑⊟=≮⫘↔-100101011000","layer":3},{"info":"≮⫘↔11110⨚⇆≮⫘↔-100101011000=NaN","layer":2},{"info":"≮⫘↔111010000110⪉⨛≮⫘↔11111110000=≮⫘↔10010001111001","layer":3},{"info":"⇈≮⫘↔10010001111001=≮⫘↔-110111111","layer":2},{"info":"NaN⪛⫼≮⫘↔-110111111=NaN","layer":1},{"info":"≮⫘↔10111100111↺≮⫘↔10000010001=≮⫘↔10000010001","layer":3},{"info":"⨦⪝≮⫘↔10000010001=≮⫘↔-11101011100","layer":2},{"info":"≮⫘↔1000110111101↤⩊≮⫘↔110100101100=NaN","layer":3},{"info":"≮⫘↔1010111111110*≮⫘↔100010011000=≮⫘↔101111001111111011010000","layer":3},{"info":"NaN⨔⇊≮⫘↔101111001111111011010000=≮⫘↔101111001111111011010000","layer":2},{"info":"≮⫘↔-11101011100⊲⩕⊾≮⫘↔101111001111111011010000=≮⫘↔-10111100111111110001111010","layer":1},{"info":"NaN∋≮⫘↔-10111100111111110001111010=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"(((⪲⇎$3256$)⩟)⫃⨇$3387$+⪬∐$5651$+⇶⊼(∤↝$2965$))⋝⋈⪟(∥⊫$7577$)⩁⩘$1256$∴$2201$→⨶⪴($1436$⊱⇼⊻$1108$≒∊$2298$∘$6984$)","expression":"(((⪲⇎≮⫘↔110010111000)⩟)⫃⨇≮⫘↔110100111011+⪬∐≮⫘↔1011000010011+⇶⊼(∤↝≮⫘↔101110010101))⋝⋈⪟(∥⊫≮⫘↔1110110011001)⩁⩘≮⫘↔10011101000∴≮⫘↔100010011001→⨶⪴(≮⫘↔10110011100⊱⇼⊻≮⫘↔10001010100≒∊≮⫘↔100011111010∘≮⫘↔1101101001000)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":94,"operation_count":14,"complexity_ratio":6.714285714285714,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3256,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3387,"base":2},"right_expr":{"type":"numeric_atoms","value":5651,"base":2}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2965,"base":2}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7577,"base":2}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1256,"base":2},"right_expr":{"type":"numeric_atoms","value":2201,"base":2}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1436,"base":2},"right_expr":{"type":"numeric_atoms","value":1108,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2298,"base":2},"right_expr":{"type":"numeric_atoms","value":6984,"base":2}}}}},"used_operators":["2DDjHMKMc0","09Ly4LVMIf","fOIeswaMU4","XPYlsWDdGa","TpPTUOHfaN","2GS7woTJqF","3UMq87Qwqg","bF6eod5Gvf","gub5Cegaqo","P8v4zCKN1o","hrf7POJlIJ","5KTvxBwnZo","FyVja0WsTP","Z5m6OM72h2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","g55IO6H4Gj","D4vGDi5EA2","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","8w2t5hMYqp","9FxExcQeMw","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6512","layer":3},{"info":"compute unary expreesion, input=6512, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-57381","layer":2},{"info":"number node, value=3387","layer":4},{"info":"number node, value=5651","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=5651, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10161","layer":3},{"info":"number node, value=2965","layer":4},{"info":"compute unary expreesion, input=2965, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=2965","layer":3},{"info":"compute binary expreesion, left_input=-10161, right_input=2965, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-57381, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=7577","layer":4},{"info":"compute unary expreesion, input=7577, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8445","layer":3},{"info":"number node, value=1256","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=2201, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4160","layer":3},{"info":"compute binary expreesion, left_input=8445, right_input=4160, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17588","layer":2},{"info":"number node, value=1436","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=1108, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=2298","layer":4},{"info":"number node, value=6984","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=6984, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4596","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=4596, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=50","layer":2},{"info":"compute binary expreesion, left_input=17588, right_input=50, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=35044","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=35044, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⪲⇎≮⫘↔110010111000)⩟)⫃⨇≮⫘↔110100111011+⪬∐≮⫘↔1011000010011+⇶⊼(∤↝≮⫘↔101110010101))⋝⋈⪟(∥⊫≮⫘↔1110110011001)⩁⩘≮⫘↔10011101000∴≮⫘↔100010011001→⨶⪴(≮⫘↔10110011100⊱⇼⊻≮⫘↔10001010100≒∊≮⫘↔100011111010∘≮⫘↔1101101001000)=NaN","reverse_text":"NaN=(((⪲⇎≮⫘↔110010111000)⩟)⫃⨇≮⫘↔110100111011+⪬∐≮⫘↔1011000010011+⇶⊼(∤↝≮⫘↔101110010101))⋝⋈⪟(∥⊫≮⫘↔1110110011001)⩁⩘≮⫘↔10011101000∴≮⫘↔100010011001→⨶⪴(≮⫘↔10110011100⊱⇼⊻≮⫘↔10001010100≒∊≮⫘↔100011111010∘≮⫘↔1101101001000)","cot":[{"info":"⪲⇎≮⫘↔110010111000=≮⫘↔1100101110000","layer":3},{"info":"≮⫘↔1100101110000⩟=≮⫘↔-1110000000100101","layer":2},{"info":"≮⫘↔110100111011+⪬∐≮⫘↔1011000010011=≮⫘↔-10011110110001","layer":3},{"info":"∤↝≮⫘↔101110010101=≮⫘↔101110010101","layer":3},{"info":"≮⫘↔-10011110110001+⇶⊼≮⫘↔101110010101=NaN","layer":2},{"info":"≮⫘↔-1110000000100101⫃⨇NaN=NaN","layer":1},{"info":"∥⊫≮⫘↔1110110011001=≮⫘↔10000011111101","layer":3},{"info":"≮⫘↔10011101000∴≮⫘↔100010011001=≮⫘↔1000001000000","layer":3},{"info":"≮⫘↔10000011111101⩁⩘≮⫘↔1000001000000=≮⫘↔100010010110100","layer":2},{"info":"≮⫘↔10110011100⊱⇼⊻≮⫘↔10001010100=≮⫘↔110110010","layer":3},{"info":"≮⫘↔100011111010∘≮⫘↔1101101001000=≮⫘↔1000111110100","layer":3},{"info":"≮⫘↔110110010≒∊≮⫘↔1000111110100=≮⫘↔110010","layer":2},{"info":"≮⫘↔100010010110100→⨶⪴≮⫘↔110010=≮⫘↔1000100011100100","layer":1},{"info":"NaN⋝⋈⪟≮⫘↔1000100011100100=NaN","layer":0}]}
{"id":754,"expression_no_base_symbol":"((↓⇌$7103$)⪔$1088$↓$5415$⨰(↑($1992$∙⊟$5597$)))⨐(($2232$≁↽≥$1118$/($4757$∽$4518$))⇡)","expression":"((↓⇌≮⫘↔1101110111111)⪔≮⫘↔10001000000↓≮⫘↔1010100100111⨰(↑(≮⫘↔11111001000∙⊟≮⫘↔1010111011101)))⨐((≮⫘↔100010111000≁↽≥≮⫘↔10001011110/(≮⫘↔1001010010101∽≮⫘↔1000110100110))⇡)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78564,"operation_count":11,"complexity_ratio":7142.181818181818,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":7103,"base":2}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1088,"base":2},"right_expr":{"type":"numeric_atoms","value":5415,"base":2}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1992,"base":2},"right_expr":{"type":"numeric_atoms","value":5597,"base":2}}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2232,"base":2},"right_expr":{"type":"numeric_atoms","value":1118,"base":2}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4757,"base":2},"right_expr":{"type":"numeric_atoms","value":4518,"base":2}}}}},"used_operators":["Noe24qw2ks","eewbuw0ToL","GjBEYRfMaF","PxpmPgHHJV","Af076pWI7l","tR7O2zTn5j","SxTAKzQCrw","UqFzSgLMvQ","XhwjNDsVaA","ncHt1X6cMc","y4ImoPnbV5"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","QMFrweE19q"],"result":"≮⫘↔-1000011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7103","layer":4},{"info":"compute unary expreesion, input=7103, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=7103","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=5415","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=5415, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=7103, right_input=-134, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=1992","layer":4},{"info":"number node, value=5597","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=5597, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=35742","layer":3},{"info":"compute unary expreesion, input=35742, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=192, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=268","layer":1},{"info":"number node, value=2232","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=2232, right_input=1118, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=36624","layer":3},{"info":"number node, value=4757","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=4757, right_input=4518, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-37161","layer":3},{"info":"compute binary expreesion, left_input=36624, right_input=-37161, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"compute binary expreesion, left_input=268, right_input=-2917, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-536","layer":0}],"base":2,"result_base":2,"text":"((↓⇌≮⫘↔1101110111111)⪔≮⫘↔10001000000↓≮⫘↔1010100100111⨰(↑(≮⫘↔11111001000∙⊟≮⫘↔1010111011101)))⨐((≮⫘↔100010111000≁↽≥≮⫘↔10001011110/(≮⫘↔1001010010101∽≮⫘↔1000110100110))⇡)=≮⫘↔-1000011000","reverse_text":"≮⫘↔-1000011000=((↓⇌≮⫘↔1101110111111)⪔≮⫘↔10001000000↓≮⫘↔1010100100111⨰(↑(≮⫘↔11111001000∙⊟≮⫘↔1010111011101)))⨐((≮⫘↔100010111000≁↽≥≮⫘↔10001011110/(≮⫘↔1001010010101∽≮⫘↔1000110100110))⇡)","cot":[{"info":"↓⇌≮⫘↔1101110111111=≮⫘↔1101110111111","layer":3},{"info":"≮⫘↔10001000000↓≮⫘↔1010100100111=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔1101110111111⪔≮⫘↔-10000110=≮⫘↔111000010","layer":2},{"info":"≮⫘↔11111001000∙⊟≮⫘↔1010111011101=≮⫘↔1000101110011110","layer":3},{"info":"↑≮⫘↔1000101110011110=≮⫘↔11000000","layer":2},{"info":"≮⫘↔111000010⨰≮⫘↔11000000=≮⫘↔100001100","layer":1},{"info":"≮⫘↔100010111000≁↽≥≮⫘↔10001011110=≮⫘↔1000111100010000","layer":3},{"info":"≮⫘↔1001010010101∽≮⫘↔1000110100110=≮⫘↔-1001000100101001","layer":3},{"info":"≮⫘↔1000111100010000/≮⫘↔-1001000100101001=≮⫘↔-1","layer":2},{"info":"≮⫘↔-1⇡=≮⫘↔-101101100101","layer":1},{"info":"≮⫘↔100001100⨐≮⫘↔-101101100101=≮⫘↔-1000011000","layer":0}]}
{"id":755,"expression_no_base_symbol":"(↞≼(($1001$+$5980$)⪨⊡($3422$⊍⩺⋍$2176$)))⫭","expression":"(↞≼((≮⫘↔1111101001+≮⫘↔1011101011100)⪨⊡(≮⫘↔110101011110⊍⩺⋍≮⫘↔100010000000)))⫭","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":246,"operation_count":5,"complexity_ratio":49.2,"tree":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1001,"base":2},"right_expr":{"type":"numeric_atoms","value":5980,"base":2}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3422,"base":2},"right_expr":{"type":"numeric_atoms","value":2176,"base":2}}}}},"used_operators":["t4WUHVGj7f","DE7zCoGJt9","kuIXHzHcAH","W4YGzv6Whe","OXDGMFPWZM"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=5980","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=5980, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6981","layer":3},{"info":"number node, value=3422","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=2176, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6981, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↞≼((≮⫘↔1111101001+≮⫘↔1011101011100)⪨⊡(≮⫘↔110101011110⊍⩺⋍≮⫘↔100010000000)))⫭=NaN","reverse_text":"NaN=(↞≼((≮⫘↔1111101001+≮⫘↔1011101011100)⪨⊡(≮⫘↔110101011110⊍⩺⋍≮⫘↔100010000000)))⫭","cot":[{"info":"≮⫘↔1111101001+≮⫘↔1011101011100=≮⫘↔1101101000101","layer":3},{"info":"≮⫘↔110101011110⊍⩺⋍≮⫘↔100010000000=NaN","layer":3},{"info":"≮⫘↔1101101000101⪨⊡NaN=NaN","layer":2},{"info":"↞≼NaN=NaN","layer":1},{"info":"NaN⫭=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"((⨑⩽⪐$5996$)∼($3620$⊨$2997$)⪭≯($4789$≧⫂∧$1456$⪨⊡$1289$⩖⊿$1559$))↳∿⪆(⨑⩽⪐($9478$∙∹∝$1422$/(≇⪴$3291$)))","expression":"((⨑⩽⪐≮⫘↔1011101101100)∼(≮⫘↔111000100100⊨≮⫘↔101110110101)⪭≯(≮⫘↔1001010110101≧⫂∧≮⫘↔10110110000⪨⊡≮⫘↔10100001001⩖⊿≮⫘↔11000010111))↳∿⪆(⨑⩽⪐(≮⫘↔10010100000110∙∹∝≮⫘↔10110001110/(≇⪴≮⫘↔110011011011)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2757,"operation_count":12,"complexity_ratio":229.75,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5996,"base":2}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3620,"base":2},"right_expr":{"type":"numeric_atoms","value":2997,"base":2}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4789,"base":2},"right_expr":{"type":"numeric_atoms","value":1456,"base":2}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1289,"base":2},"right_expr":{"type":"numeric_atoms","value":1559,"base":2}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":9478,"base":2},"right_expr":{"type":"numeric_atoms","value":1422,"base":2}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3291,"base":2}}}}},"used_operators":["Cw4SuJJGHO","XAx5wpdLa6","DyGG3AbaNP","AF7qkfDlqP","vg4gO5BX6G","kuIXHzHcAH","Ph9nP6C5qx","RZ5CV9rWsJ","XhwjNDsVaA","HmxsFra2vL","zoVPnxeHJ3"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5996","layer":4},{"info":"compute unary expreesion, input=5996, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5723","layer":3},{"info":"number node, value=3620","layer":4},{"info":"number node, value=2997","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=2997, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=15511","layer":3},{"info":"compute binary expreesion, left_input=-5723, right_input=15511, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=4789","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=4789, right_input=1456, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=983","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=1559, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=7234","layer":3},{"info":"compute binary expreesion, left_input=983, right_input=7234, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=9478","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=9478, right_input=1422, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3291","layer":4},{"info":"compute unary expreesion, input=3291, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-8533","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8533, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=789, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐≮⫘↔1011101101100)∼(≮⫘↔111000100100⊨≮⫘↔101110110101)⪭≯(≮⫘↔1001010110101≧⫂∧≮⫘↔10110110000⪨⊡≮⫘↔10100001001⩖⊿≮⫘↔11000010111))↳∿⪆(⨑⩽⪐(≮⫘↔10010100000110∙∹∝≮⫘↔10110001110/(≇⪴≮⫘↔110011011011)))=NaN","reverse_text":"NaN=((⨑⩽⪐≮⫘↔1011101101100)∼(≮⫘↔111000100100⊨≮⫘↔101110110101)⪭≯(≮⫘↔1001010110101≧⫂∧≮⫘↔10110110000⪨⊡≮⫘↔10100001001⩖⊿≮⫘↔11000010111))↳∿⪆(⨑⩽⪐(≮⫘↔10010100000110∙∹∝≮⫘↔10110001110/(≇⪴≮⫘↔110011011011)))","cot":[{"info":"⨑⩽⪐≮⫘↔1011101101100=≮⫘↔-1011001011011","layer":3},{"info":"≮⫘↔111000100100⊨≮⫘↔101110110101=≮⫘↔11110010010111","layer":3},{"info":"≮⫘↔-1011001011011∼≮⫘↔11110010010111=NaN","layer":2},{"info":"≮⫘↔1001010110101≧⫂∧≮⫘↔10110110000=≮⫘↔1111010111","layer":3},{"info":"≮⫘↔10100001001⩖⊿≮⫘↔11000010111=≮⫘↔1110001000010","layer":3},{"info":"≮⫘↔1111010111⪨⊡≮⫘↔1110001000010=≮⫘↔0","layer":2},{"info":"NaN⪭≯≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔10010100000110∙∹∝≮⫘↔10110001110=≮⫘↔0","layer":3},{"info":"≇⪴≮⫘↔110011011011=≮⫘↔-10000101010101","layer":3},{"info":"≮⫘↔0/≮⫘↔-10000101010101=≮⫘↔0","layer":2},{"info":"⨑⩽⪐≮⫘↔0=≮⫘↔1100010101","layer":1},{"info":"NaN↳∿⪆≮⫘↔1100010101=NaN","layer":0}]}
{"id":757,"expression_no_base_symbol":"($1682$⨥⫆$5550$∸)∀⇚≩(($1289$≬⇓$2139$)⪗)/($1176$⨟⋌⩍$4597$)≴⪞⇿($5986$≓∲$1086$)⇌⫙⪟$7116$⪝$2079$∼($4097$⩠)","expression":"(≮⫘↔11010010010⨥⫆≮⫘↔1010110101110∸)∀⇚≩((≮⫘↔10100001001≬⇓≮⫘↔100001011011)⪗)/(≮⫘↔10010011000⨟⋌⩍≮⫘↔1000111110101)≴⪞⇿(≮⫘↔1011101100010≓∲≮⫘↔10000111110)⇌⫙⪟≮⫘↔1101111001100⪝≮⫘↔100000011111∼(≮⫘↔1000000000001⩠)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2420,"operation_count":13,"complexity_ratio":186.15384615384616,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1682,"base":2},"right_expr":{"type":"numeric_atoms","value":5550,"base":2}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1289,"base":2},"right_expr":{"type":"numeric_atoms","value":2139,"base":2}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1176,"base":2},"right_expr":{"type":"numeric_atoms","value":4597,"base":2}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5986,"base":2},"right_expr":{"type":"numeric_atoms","value":1086,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":7116,"base":2},"right_expr":{"type":"numeric_atoms","value":2079,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4097,"base":2}}}}},"used_operators":["XhwjNDsVaA","LRNGc0VcxI","o20kRiQErp","yXekIHxTD4","VEQNXA0ZBg","jWTQ2TZYIH","AFVx7xoS7T","lvlrscuwVU","rGHVDoGpnC","s1XTVnmDOJ","DyGG3AbaNP","wicAB68Tmb","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","tmPS8pqC7x","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","dWAJyo7jo9","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Tcnh7f0tEr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1682","layer":4},{"info":"number node, value=5550","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=5550, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10976","layer":3},{"info":"compute unary expreesion, input=10976, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1289","layer":4},{"info":"number node, value=2139","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=2139, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1176","layer":4},{"info":"number node, value=4597","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=4597, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5986","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=5986, right_input=1086, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=60643","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=60643, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=7116","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=7116, right_input=2079, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-20547","layer":3},{"info":"number node, value=4097","layer":4},{"info":"compute unary expreesion, input=4097, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-20547, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11010010010⨥⫆≮⫘↔1010110101110∸)∀⇚≩((≮⫘↔10100001001≬⇓≮⫘↔100001011011)⪗)/(≮⫘↔10010011000⨟⋌⩍≮⫘↔1000111110101)≴⪞⇿(≮⫘↔1011101100010≓∲≮⫘↔10000111110)⇌⫙⪟≮⫘↔1101111001100⪝≮⫘↔100000011111∼(≮⫘↔1000000000001⩠)=NaN","reverse_text":"NaN=(≮⫘↔11010010010⨥⫆≮⫘↔1010110101110∸)∀⇚≩((≮⫘↔10100001001≬⇓≮⫘↔100001011011)⪗)/(≮⫘↔10010011000⨟⋌⩍≮⫘↔1000111110101)≴⪞⇿(≮⫘↔1011101100010≓∲≮⫘↔10000111110)⇌⫙⪟≮⫘↔1101111001100⪝≮⫘↔100000011111∼(≮⫘↔1000000000001⩠)","cot":[{"info":"≮⫘↔11010010010⨥⫆≮⫘↔1010110101110=≮⫘↔10101011100000","layer":3},{"info":"≮⫘↔10101011100000∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔10100001001≬⇓≮⫘↔100001011011=≮⫘↔-10110","layer":3},{"info":"≮⫘↔-10110⪗=NaN","layer":2},{"info":"≮⫘↔10110001∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔10010011000⨟⋌⩍≮⫘↔1000111110101=NaN","layer":3},{"info":"≮⫘↔1011101100010≓∲≮⫘↔10000111110=≮⫘↔1110110011100011","layer":3},{"info":"NaN≴⪞⇿≮⫘↔1110110011100011=NaN","layer":2},{"info":"≮⫘↔1101111001100⪝≮⫘↔100000011111=≮⫘↔-101000001000011","layer":3},{"info":"≮⫘↔1000000000001⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔-101000001000011∼≮⫘↔0=≮⫘↔10100","layer":2},{"info":"NaN⇌⫙⪟≮⫘↔10100=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"((≋$6794$⋹⋡⊁$4764$)∊∟⩊((⨞⊢$1021$)⇄($2563$⪬∳)))⨐(($2627$⪘⫢$2785$⪥⨬⪅)⩖⊿(⇺⋃($6505$↳≱$4353$)))","expression":"((≋≮⫘↔1101010001010⋹⋡⊁≮⫘↔1001010011100)∊∟⩊((⨞⊢≮⫘↔1111111101)⇄(≮⫘↔101000000011⪬∳)))⨐((≮⫘↔101001000011⪘⫢≮⫘↔101011100001⪥⨬⪅)⩖⊿(⇺⋃(≮⫘↔1100101101001↳≱≮⫘↔1000100000001)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":81574,"operation_count":12,"complexity_ratio":6797.833333333333,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6794,"base":2},"right_expr":{"type":"numeric_atoms","value":4764,"base":2}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1021,"base":2}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":2563,"base":2}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2627,"base":2},"right_expr":{"type":"numeric_atoms","value":2785,"base":2}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6505,"base":2},"right_expr":{"type":"numeric_atoms","value":4353,"base":2}}}}},"used_operators":["Noe24qw2ks","ddLRYrp01A","61wBmkZwlr","As8RqfVLgs","3EYGwJThht","xUOZtlo3hN","O9U3z1385E","RZ5CV9rWsJ","zNRQejTB5A","oacrs7FA3X","E5v5B3UAjG","JwTKLfZU96"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","7j4O788W3g","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"≮⫘↔-1100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6794","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=6794, right_input=4764, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5514","layer":3},{"info":"compute unary expreesion, input=5514, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=5514","layer":2},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1195","layer":3},{"info":"number node, value=2563","layer":4},{"info":"compute unary expreesion, input=2563, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=-1195, right_input=-709, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5514, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6","layer":1},{"info":"number node, value=2627","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=2785, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5130","layer":3},{"info":"compute unary expreesion, input=5130, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"number node, value=6505","layer":4},{"info":"number node, value=4353","layer":4},{"info":"compute binary expreesion, left_input=6505, right_input=4353, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=169","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=169, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1576","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=1576, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-12","layer":0}],"base":2,"result_base":2,"text":"((≋≮⫘↔1101010001010⋹⋡⊁≮⫘↔1001010011100)∊∟⩊((⨞⊢≮⫘↔1111111101)⇄(≮⫘↔101000000011⪬∳)))⨐((≮⫘↔101001000011⪘⫢≮⫘↔101011100001⪥⨬⪅)⩖⊿(⇺⋃(≮⫘↔1100101101001↳≱≮⫘↔1000100000001)))=≮⫘↔-1100","reverse_text":"≮⫘↔-1100=((≋≮⫘↔1101010001010⋹⋡⊁≮⫘↔1001010011100)∊∟⩊((⨞⊢≮⫘↔1111111101)⇄(≮⫘↔101000000011⪬∳)))⨐((≮⫘↔101001000011⪘⫢≮⫘↔101011100001⪥⨬⪅)⩖⊿(⇺⋃(≮⫘↔1100101101001↳≱≮⫘↔1000100000001)))","cot":[{"info":"≮⫘↔1101010001010⋹⋡⊁≮⫘↔1001010011100=≮⫘↔1010110001010","layer":3},{"info":"≋≮⫘↔1010110001010=≮⫘↔1010110001010","layer":2},{"info":"⨞⊢≮⫘↔1111111101=≮⫘↔-10010101011","layer":3},{"info":"≮⫘↔101000000011⪬∳=≮⫘↔-1011000101","layer":3},{"info":"≮⫘↔-10010101011⇄≮⫘↔-1011000101=≮⫘↔0","layer":2},{"info":"≮⫘↔1010110001010∊∟⩊≮⫘↔0=≮⫘↔110","layer":1},{"info":"≮⫘↔101001000011⪘⫢≮⫘↔101011100001=≮⫘↔1010000001010","layer":3},{"info":"≮⫘↔1010000001010⪥⨬⪅=≮⫘↔-111011001","layer":2},{"info":"≮⫘↔1100101101001↳≱≮⫘↔1000100000001=≮⫘↔0","layer":3},{"info":"⇺⋃≮⫘↔0=≮⫘↔10101001","layer":2},{"info":"≮⫘↔-111011001⩖⊿≮⫘↔10101001=≮⫘↔11000101000","layer":1},{"info":"≮⫘↔110⨐≮⫘↔11000101000=≮⫘↔-1100","layer":0}]}
{"id":759,"expression_no_base_symbol":"(⇜⊴(⇠$3457$)∲⫓$1946$+⪬∐$1443$)≌(⇾⩊⇾(($1628$⪉⨛$1980$)↼⊘⨖$4543$⊢$1004$))","expression":"(⇜⊴(⇠≮⫘↔110110000001)∲⫓≮⫘↔11110011010+⪬∐≮⫘↔10110100011)≌(⇾⩊⇾((≮⫘↔11001011100⪉⨛≮⫘↔11110111100)↼⊘⨖≮⫘↔1000110111111⊢≮⫘↔1111101100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":163742,"operation_count":9,"complexity_ratio":18193.555555555555,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":3457,"base":2}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1946,"base":2},"right_expr":{"type":"numeric_atoms","value":1443,"base":2}}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1628,"base":2},"right_expr":{"type":"numeric_atoms","value":1980,"base":2}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4543,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}}}}},"used_operators":["lyWz822IDG","XwDhCwWbUn","i8ToyICDmI","18saOjeKKm","2GS7woTJqF","bx9Z9DAK5y","bPywburJMS","EWw2JM7wp4","5twsqlHp2o"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3457","layer":4},{"info":"compute unary expreesion, input=3457, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3215","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=1443, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5838","layer":3},{"info":"compute binary expreesion, left_input=-3215, right_input=-5838, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-3215","layer":2},{"info":"compute unary expreesion, input=-3215, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-96516","layer":1},{"info":"number node, value=1628","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=1980, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3119","layer":3},{"info":"number node, value=4543","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=4543, right_input=1004, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9330","layer":3},{"info":"compute binary expreesion, left_input=3119, right_input=-9330, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-18882","layer":2},{"info":"compute unary expreesion, input=-18882, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=163452","layer":1},{"info":"compute binary expreesion, left_input=-96516, right_input=163452, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇜⊴(⇠≮⫘↔110110000001)∲⫓≮⫘↔11110011010+⪬∐≮⫘↔10110100011)≌(⇾⩊⇾((≮⫘↔11001011100⪉⨛≮⫘↔11110111100)↼⊘⨖≮⫘↔1000110111111⊢≮⫘↔1111101100))=NaN","reverse_text":"NaN=(⇜⊴(⇠≮⫘↔110110000001)∲⫓≮⫘↔11110011010+⪬∐≮⫘↔10110100011)≌(⇾⩊⇾((≮⫘↔11001011100⪉⨛≮⫘↔11110111100)↼⊘⨖≮⫘↔1000110111111⊢≮⫘↔1111101100))","cot":[{"info":"⇠≮⫘↔110110000001=≮⫘↔-110010001111","layer":3},{"info":"≮⫘↔11110011010+⪬∐≮⫘↔10110100011=≮⫘↔-1011011001110","layer":3},{"info":"≮⫘↔-110010001111∲⫓≮⫘↔-1011011001110=≮⫘↔-110010001111","layer":2},{"info":"⇜⊴≮⫘↔-110010001111=≮⫘↔-10111100100000100","layer":1},{"info":"≮⫘↔11001011100⪉⨛≮⫘↔11110111100=≮⫘↔110000101111","layer":3},{"info":"≮⫘↔1000110111111⊢≮⫘↔1111101100=≮⫘↔-10010001110010","layer":3},{"info":"≮⫘↔110000101111↼⊘⨖≮⫘↔-10010001110010=≮⫘↔-100100111000010","layer":2},{"info":"⇾⩊⇾≮⫘↔-100100111000010=≮⫘↔100111111001111100","layer":1},{"info":"≮⫘↔-10111100100000100≌≮⫘↔100111111001111100=NaN","layer":0}]}
{"id":760,"expression_no_base_symbol":"((($5704$→⨶⪴$2410$)⇚⪠)∖$1110$↤⩊$8322$↹⊜($5346$∼$1001$))↙(≱⇩⩕($2131$⫥∨⫟$4547$)⩧⪆($2498$+$3784$))","expression":"(((≮⫘↔1011001001000→⨶⪴≮⫘↔100101101010)⇚⪠)∖≮⫘↔10001010110↤⩊≮⫘↔10000010000010↹⊜(≮⫘↔1010011100010∼≮⫘↔1111101001))↙(≱⇩⩕(≮⫘↔100001010011⫥∨⫟≮⫘↔1000111000011)⩧⪆(≮⫘↔100111000010+≮⫘↔111011001000))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7906,"operation_count":11,"complexity_ratio":718.7272727272727,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5704,"base":2},"right_expr":{"type":"numeric_atoms","value":2410,"base":2}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1110,"base":2},"right_expr":{"type":"numeric_atoms","value":8322,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5346,"base":2},"right_expr":{"type":"numeric_atoms","value":1001,"base":2}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2131,"base":2},"right_expr":{"type":"numeric_atoms","value":4547,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2498,"base":2},"right_expr":{"type":"numeric_atoms","value":3784,"base":2}}}}},"used_operators":["yyfyN0ffXY","tXD093vOjl","Loh9y4A90B","bF6eod5Gvf","9bazX3JMtO","13rbtpv6ld","DyGG3AbaNP","3DZMoQKiUl","Ikt5ks8PT7","KYD54nUTWz","W4YGzv6Whe"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eewbuw0ToL","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5704","layer":4},{"info":"number node, value=2410","layer":4},{"info":"compute binary expreesion, left_input=5704, right_input=2410, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7230","layer":3},{"info":"compute unary expreesion, input=-7230, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=-55020300","layer":2},{"info":"number node, value=1110","layer":4},{"info":"number node, value=8322","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=8322, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=5346","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5346, right_input=1001, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55020300, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=2131","layer":4},{"info":"number node, value=4547","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=4547, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=3784","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=3784, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6282","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6282, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6282","layer":2},{"info":"compute unary expreesion, input=-6282, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=44584","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=44584, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1011001001000→⨶⪴≮⫘↔100101101010)⇚⪠)∖≮⫘↔10001010110↤⩊≮⫘↔10000010000010↹⊜(≮⫘↔1010011100010∼≮⫘↔1111101001))↙(≱⇩⩕(≮⫘↔100001010011⫥∨⫟≮⫘↔1000111000011)⩧⪆(≮⫘↔100111000010+≮⫘↔111011001000))=≮⫘↔0","reverse_text":"≮⫘↔0=(((≮⫘↔1011001001000→⨶⪴≮⫘↔100101101010)⇚⪠)∖≮⫘↔10001010110↤⩊≮⫘↔10000010000010↹⊜(≮⫘↔1010011100010∼≮⫘↔1111101001))↙(≱⇩⩕(≮⫘↔100001010011⫥∨⫟≮⫘↔1000111000011)⩧⪆(≮⫘↔100111000010+≮⫘↔111011001000))","cot":[{"info":"≮⫘↔1011001001000→⨶⪴≮⫘↔100101101010=≮⫘↔-1110000111110","layer":3},{"info":"≮⫘↔-1110000111110⇚⪠=≮⫘↔-11010001111000101100001100","layer":2},{"info":"≮⫘↔10001010110↤⩊≮⫘↔10000010000010=NaN","layer":3},{"info":"≮⫘↔1010011100010∼≮⫘↔1111101001=NaN","layer":3},{"info":"NaN↹⊜NaN=NaN","layer":2},{"info":"≮⫘↔-11010001111000101100001100∖NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔100001010011⫥∨⫟≮⫘↔1000111000011=NaN","layer":3},{"info":"≮⫘↔100111000010+≮⫘↔111011001000=≮⫘↔1100010001010","layer":3},{"info":"NaN⩧⪆≮⫘↔1100010001010=≮⫘↔-1100010001010","layer":2},{"info":"≱⇩⩕≮⫘↔-1100010001010=≮⫘↔1010111000101000","layer":1},{"info":"≮⫘↔0↙≮⫘↔1010111000101000=≮⫘↔0","layer":0}]}
{"id":761,"expression_no_base_symbol":"(($4395$≒∊$5876$)⊢(⇤←$3426$))⩼⇪↪((⊊≼∋$2357$)∘($6769$≬⋮$2600$))⊹≧⊝","expression":"((≮⫘↔1000100101011≒∊≮⫘↔1011011110100)⊢(⇤←≮⫘↔110101100010))⩼⇪↪((⊊≼∋≮⫘↔100100110101)∘(≮⫘↔1101001110001≬⋮≮⫘↔101000101000))⊹≧⊝","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2511,"operation_count":8,"complexity_ratio":313.875,"tree":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":4395,"base":2},"right_expr":{"type":"numeric_atoms","value":5876,"base":2}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":3426,"base":2}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2357,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":6769,"base":2},"right_expr":{"type":"numeric_atoms","value":2600,"base":2}}}}},"used_operators":["LxFB4K6j0n","ocnLzx9CaJ","5twsqlHp2o","5KTvxBwnZo","jfAgQ2OQeM","Z5m6OM72h2","FWz7pXsQhA","kbkesczE7y"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eH2TOUuTDT","rysDP5nf3Z","B5M0gjZbta","jCPkEVoL5K","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"≮⫘↔-10100001001011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4395","layer":4},{"info":"number node, value=5876","layer":4},{"info":"compute binary expreesion, left_input=4395, right_input=5876, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3911","layer":3},{"info":"number node, value=3426","layer":4},{"info":"compute unary expreesion, input=3426, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-15764","layer":3},{"info":"compute binary expreesion, left_input=-3911, right_input=-15764, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=7578","layer":2},{"info":"number node, value=2357","layer":4},{"info":"compute unary expreesion, input=2357, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=6769","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=6769, right_input=2600, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=868, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-894","layer":2},{"info":"compute binary expreesion, left_input=7578, right_input=-894, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=20631","layer":1},{"info":"compute unary expreesion, input=20631, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-82524","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000100101011≒∊≮⫘↔1011011110100)⊢(⇤←≮⫘↔110101100010))⩼⇪↪((⊊≼∋≮⫘↔100100110101)∘(≮⫘↔1101001110001≬⋮≮⫘↔101000101000))⊹≧⊝=≮⫘↔-10100001001011100","reverse_text":"≮⫘↔-10100001001011100=((≮⫘↔1000100101011≒∊≮⫘↔1011011110100)⊢(⇤←≮⫘↔110101100010))⩼⇪↪((⊊≼∋≮⫘↔100100110101)∘(≮⫘↔1101001110001≬⋮≮⫘↔101000101000))⊹≧⊝","cot":[{"info":"≮⫘↔1000100101011≒∊≮⫘↔1011011110100=≮⫘↔-111101000111","layer":3},{"info":"⇤←≮⫘↔110101100010=≮⫘↔-11110110010100","layer":3},{"info":"≮⫘↔-111101000111⊢≮⫘↔-11110110010100=≮⫘↔1110110011010","layer":2},{"info":"⊊≼∋≮⫘↔100100110101=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔1101001110001≬⋮≮⫘↔101000101000=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔-110111111∘≮⫘↔1101100100=≮⫘↔-1101111110","layer":2},{"info":"≮⫘↔1110110011010⩼⇪↪≮⫘↔-1101111110=≮⫘↔101000010010111","layer":1},{"info":"≮⫘↔101000010010111⊹≧⊝=≮⫘↔-10100001001011100","layer":0}]}
{"id":762,"expression_no_base_symbol":"(($5819$∝$3104$)∛≔)∴($1730$⫸⊐$7941$)⨽∌(⇤←$7806$)⋓($6648$⪢$3804$∠⫱$1409$⇴$3161$)≴⪞⇿($8078$⪟⇏$1191$∧)","expression":"((≮⫘↔1011010111011∝≮⫘↔110000100000)∛≔)∴(≮⫘↔11011000010⫸⊐≮⫘↔1111100000101)⨽∌(⇤←≮⫘↔1111001111110)⋓(≮⫘↔1100111111000⪢≮⫘↔111011011100∠⫱≮⫘↔10110000001⇴≮⫘↔110001011001)≴⪞⇿(≮⫘↔1111110001110⪟⇏≮⫘↔10010100111∧)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":51245,"operation_count":13,"complexity_ratio":3941.923076923077,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5819,"base":2},"right_expr":{"type":"numeric_atoms","value":3104,"base":2}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1730,"base":2},"right_expr":{"type":"numeric_atoms","value":7941,"base":2}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":7806,"base":2}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6648,"base":2},"right_expr":{"type":"numeric_atoms","value":3804,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1409,"base":2},"right_expr":{"type":"numeric_atoms","value":3161,"base":2}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":8078,"base":2},"right_expr":{"type":"numeric_atoms","value":1191,"base":2}}}}},"used_operators":["T2fj7uvVaJ","hrf7POJlIJ","mGnSCrte3L","cTDWOvIxvz","9samAPKr6k","mqXw5SEYmG","jfAgQ2OQeM","lvlrscuwVU","QvoQhV0rrE","dWAJyo7jo9","4JB6nKBMSY","z63VuFQld9","GODebY97qR"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","7j4O788W3g","W4YGzv6Whe","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","k8jYdgA6NY","sdazOOVcIp","NTOWxs364D","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5819","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=5819, right_input=3104, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5824","layer":3},{"info":"compute unary expreesion, input=5824, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":2},{"info":"number node, value=1730","layer":4},{"info":"number node, value=7941","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=7941, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=31639","layer":3},{"info":"number node, value=7806","layer":4},{"info":"compute unary expreesion, input=7806, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-37664","layer":3},{"info":"compute binary expreesion, left_input=31639, right_input=-37664, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-inf","layer":1},{"info":"number node, value=6648","layer":4},{"info":"number node, value=3804","layer":4},{"info":"compute binary expreesion, left_input=6648, right_input=3804, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=3161, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=14390","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14390, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=8078","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=8078, right_input=1191, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1847276","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=1847276, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1011010111011∝≮⫘↔110000100000)∛≔)∴(≮⫘↔11011000010⫸⊐≮⫘↔1111100000101)⨽∌(⇤←≮⫘↔1111001111110)⋓(≮⫘↔1100111111000⪢≮⫘↔111011011100∠⫱≮⫘↔10110000001⇴≮⫘↔110001011001)≴⪞⇿(≮⫘↔1111110001110⪟⇏≮⫘↔10010100111∧)=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔1011010111011∝≮⫘↔110000100000)∛≔)∴(≮⫘↔11011000010⫸⊐≮⫘↔1111100000101)⨽∌(⇤←≮⫘↔1111001111110)⋓(≮⫘↔1100111111000⪢≮⫘↔111011011100∠⫱≮⫘↔10110000001⇴≮⫘↔110001011001)≴⪞⇿(≮⫘↔1111110001110⪟⇏≮⫘↔10010100111∧)","cot":[{"info":"≮⫘↔1011010111011∝≮⫘↔110000100000=≮⫘↔1011011000000","layer":3},{"info":"≮⫘↔1011011000000∛≔=-Inf","layer":2},{"info":"≮⫘↔11011000010⫸⊐≮⫘↔1111100000101=≮⫘↔111101110010111","layer":3},{"info":"⇤←≮⫘↔1111001111110=≮⫘↔-1001001100100000","layer":3},{"info":"≮⫘↔111101110010111⨽∌≮⫘↔-1001001100100000=≮⫘↔0","layer":2},{"info":"-Inf∴≮⫘↔0=-Inf","layer":1},{"info":"≮⫘↔1100111111000⪢≮⫘↔111011011100=NaN","layer":3},{"info":"≮⫘↔10110000001⇴≮⫘↔110001011001=≮⫘↔11100000110110","layer":3},{"info":"NaN∠⫱≮⫘↔11100000110110=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔1111110001110⪟⇏≮⫘↔10010100111=≮⫘↔-1","layer":3},{"info":"≮⫘↔-1∧=NaN","layer":2},{"info":"≮⫘↔10011010010≴⪞⇿NaN=≮⫘↔111000010111111101100","layer":1},{"info":"-Inf⋓≮⫘↔111000010111111101100=≮⫘↔0","layer":0}]}
{"id":763,"expression_no_base_symbol":"≸((($1943$⨑≵⋬$1380$)⫑)∙⊟($1054$⫲⨊)+⪬∐($5063$⫡⨏$8093$))","expression":"≸(((≮⫘↔11110010111⨑≵⋬≮⫘↔10101100100)⫑)∙⊟(≮⫘↔10000011110⫲⨊)+⪬∐(≮⫘↔1001111000111⫡⨏≮⫘↔1111110011101))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4303,"operation_count":7,"complexity_ratio":614.7142857142857,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1943,"base":2},"right_expr":{"type":"numeric_atoms","value":1380,"base":2}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1054,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5063,"base":2},"right_expr":{"type":"numeric_atoms","value":8093,"base":2}}}}},"used_operators":["eOf03JbCpp","SxTAKzQCrw","CgIo77xlM2","XnXgA4xnOs","2GS7woTJqF","CArV6hThFE","QMFrweE19q"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔111010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1943","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=1380, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1434","layer":3},{"info":"compute unary expreesion, input=1434, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=6053","layer":3},{"info":"number node, value=5063","layer":4},{"info":"number node, value=8093","layer":4},{"info":"compute binary expreesion, left_input=5063, right_input=8093, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=42284","layer":3},{"info":"compute binary expreesion, left_input=6053, right_input=42284, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-18159","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-18159, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=61573","layer":1},{"info":"compute unary expreesion, input=61573, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":0}],"base":2,"result_base":2,"text":"≸(((≮⫘↔11110010111⨑≵⋬≮⫘↔10101100100)⫑)∙⊟(≮⫘↔10000011110⫲⨊)+⪬∐(≮⫘↔1001111000111⫡⨏≮⫘↔1111110011101))=≮⫘↔111010","reverse_text":"≮⫘↔111010=≸(((≮⫘↔11110010111⨑≵⋬≮⫘↔10101100100)⫑)∙⊟(≮⫘↔10000011110⫲⨊)+⪬∐(≮⫘↔1001111000111⫡⨏≮⫘↔1111110011101))","cot":[{"info":"≮⫘↔11110010111⨑≵⋬≮⫘↔10101100100=≮⫘↔10110011010","layer":3},{"info":"≮⫘↔10110011010⫑=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔10000011110⫲⨊=≮⫘↔1011110100101","layer":3},{"info":"≮⫘↔1001111000111⫡⨏≮⫘↔1111110011101=≮⫘↔1010010100101100","layer":3},{"info":"≮⫘↔1011110100101+⪬∐≮⫘↔1010010100101100=≮⫘↔-100011011101111","layer":2},{"info":"≮⫘↔111110001011∙⊟≮⫘↔-100011011101111=≮⫘↔1111000010000101","layer":1},{"info":"≸≮⫘↔1111000010000101=≮⫘↔111010","layer":0}]}
{"id":764,"expression_no_base_symbol":"((($3219$≃$2203$)∊∟⩊($1535$⪛⫼$1404$))⨜⨶(($1584$⊵↤)⩘))⨥⫆(($2923$⇗⋫)∺≝⩲$2551$⨂≜$2334$⩼⇪↪(≘($3407$⊝⪿⪼$2748$)))","expression":"(((≮⫘↔110010010011≃≮⫘↔100010011011)∊∟⩊(≮⫘↔10111111111⪛⫼≮⫘↔10101111100))⨜⨶((≮⫘↔11000110000⊵↤)⩘))⨥⫆((≮⫘↔101101101011⇗⋫)∺≝⩲≮⫘↔100111110111⨂≜≮⫘↔100100011110⩼⇪↪(≘(≮⫘↔110101001111⊝⪿⪼≮⫘↔101010111100)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3313,"operation_count":13,"complexity_ratio":254.84615384615384,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3219,"base":2},"right_expr":{"type":"numeric_atoms","value":2203,"base":2}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1535,"base":2},"right_expr":{"type":"numeric_atoms","value":1404,"base":2}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1584,"base":2}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":2923,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2551,"base":2},"right_expr":{"type":"numeric_atoms","value":2334,"base":2}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3407,"base":2},"right_expr":{"type":"numeric_atoms","value":2748,"base":2}}}}},"used_operators":["yXekIHxTD4","HiPekx5b7W","ddLRYrp01A","YbVcJGFEVW","hyuBjUqXlG","wvHyciQT5X","7IPrd9c3lf","ocnLzx9CaJ","KPf6cnQVty","hpqmaQFPrd","k1SHOSEABc","tcjXMdvYtA","3Oe9XWJUTD"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9ICcGScMcE","dfKe02y8D2","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rxpJgHHUmx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3219","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=2203, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-12916","layer":3},{"info":"number node, value=1535","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=1404, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-12916, right_input=968, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=38","layer":2},{"info":"number node, value=1584","layer":4},{"info":"compute unary expreesion, input=1584, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=38, right_input=67, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=1565","layer":1},{"info":"number node, value=2923","layer":4},{"info":"compute unary expreesion, input=2923, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=2551","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=2334, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=3407","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=2748, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=48639","layer":3},{"info":"compute unary expreesion, input=48639, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=107249779","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=107249779, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-750748916","layer":1},{"info":"compute binary expreesion, left_input=1565, right_input=-750748916, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔110010010011≃≮⫘↔100010011011)∊∟⩊(≮⫘↔10111111111⪛⫼≮⫘↔10101111100))⨜⨶((≮⫘↔11000110000⊵↤)⩘))⨥⫆((≮⫘↔101101101011⇗⋫)∺≝⩲≮⫘↔100111110111⨂≜≮⫘↔100100011110⩼⇪↪(≘(≮⫘↔110101001111⊝⪿⪼≮⫘↔101010111100)))=≮⫘↔0","reverse_text":"≮⫘↔0=(((≮⫘↔110010010011≃≮⫘↔100010011011)∊∟⩊(≮⫘↔10111111111⪛⫼≮⫘↔10101111100))⨜⨶((≮⫘↔11000110000⊵↤)⩘))⨥⫆((≮⫘↔101101101011⇗⋫)∺≝⩲≮⫘↔100111110111⨂≜≮⫘↔100100011110⩼⇪↪(≘(≮⫘↔110101001111⊝⪿⪼≮⫘↔101010111100)))","cot":[{"info":"≮⫘↔110010010011≃≮⫘↔100010011011=≮⫘↔-11001001110100","layer":3},{"info":"≮⫘↔10111111111⪛⫼≮⫘↔10101111100=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔-11001001110100∊∟⩊≮⫘↔1111001000=≮⫘↔100110","layer":2},{"info":"≮⫘↔11000110000⊵↤=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1000011⩘=≮⫘↔1000011","layer":2},{"info":"≮⫘↔100110⨜⨶≮⫘↔1000011=≮⫘↔11000011101","layer":1},{"info":"≮⫘↔101101101011⇗⋫=NaN","layer":3},{"info":"≮⫘↔100111110111⨂≜≮⫘↔100100011110=NaN","layer":3},{"info":"NaN∺≝⩲NaN=≮⫘↔10100000","layer":2},{"info":"≮⫘↔110101001111⊝⪿⪼≮⫘↔101010111100=≮⫘↔1011110111111111","layer":3},{"info":"≘≮⫘↔1011110111111111=≮⫘↔110011001001000000001110011","layer":2},{"info":"≮⫘↔10100000⩼⇪↪≮⫘↔110011001001000000001110011=≮⫘↔-101100101111111000010011110100","layer":1},{"info":"≮⫘↔11000011101⨥⫆≮⫘↔-101100101111111000010011110100=≮⫘↔0","layer":0}]}
{"id":765,"expression_no_base_symbol":"((⨞⊢$6172$↤⩊$1774$)⨒(⋠∜($1962$∽$4445$)))⨭⪣(($8825$⊉≛↸$2722$)∑⇟⊟$1936$∛$1403$⨽($3701$≳⇉$3749$)⋕⪉⪜($2518$+⇶⊼$2708$))","expression":"((⨞⊢≮⫘↔1100000011100↤⩊≮⫘↔11011101110)⨒(⋠∜(≮⫘↔11110101010∽≮⫘↔1000101011101)))⨭⪣((≮⫘↔10001001111001⊉≛↸≮⫘↔101010100010)∑⇟⊟≮⫘↔11110010000∛≮⫘↔10101111011⨽(≮⫘↔111001110101≳⇉≮⫘↔111010100101)⋕⪉⪜(≮⫘↔100111010110+⇶⊼≮⫘↔101010010100))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":177244371,"operation_count":13,"complexity_ratio":13634182.384615384,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6172,"base":2},"right_expr":{"type":"numeric_atoms","value":1774,"base":2}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1962,"base":2},"right_expr":{"type":"numeric_atoms","value":4445,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8825,"base":2},"right_expr":{"type":"numeric_atoms","value":2722,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1936,"base":2},"right_expr":{"type":"numeric_atoms","value":1403,"base":2}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3701,"base":2},"right_expr":{"type":"numeric_atoms","value":3749,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2518,"base":2},"right_expr":{"type":"numeric_atoms","value":2708,"base":2}}}}},"used_operators":["kn8WO9XteQ","y75s1iXyHd","xUOZtlo3hN","13rbtpv6ld","ZJpFhNJr3x","y4ImoPnbV5","8HhzD0ZcuI","U7g4x0WXJJ","DZ8iAZOCBD","w2537kitQq","z6LnFrNh4i","V0kx6qeWkN","TpPTUOHfaN"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","NTOWxs364D","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","AHs5Up7iyr"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6172","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=6172, right_input=1774, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=1962","layer":4},{"info":"number node, value=4445","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=4445, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-22967","layer":3},{"info":"compute unary expreesion, input=-22967, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-89584","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-89584, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=8825","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=8825, right_input=2722, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17650","layer":3},{"info":"number node, value=1936","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1403, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=17650, right_input=67, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3701","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=3701, right_input=3749, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=2518","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=2708, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"((⨞⊢≮⫘↔1100000011100↤⩊≮⫘↔11011101110)⨒(⋠∜(≮⫘↔11110101010∽≮⫘↔1000101011101)))⨭⪣((≮⫘↔10001001111001⊉≛↸≮⫘↔101010100010)∑⇟⊟≮⫘↔11110010000∛≮⫘↔10101111011⨽(≮⫘↔111001110101≳⇉≮⫘↔111010100101)⋕⪉⪜(≮⫘↔100111010110+⇶⊼≮⫘↔101010010100))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=((⨞⊢≮⫘↔1100000011100↤⩊≮⫘↔11011101110)⨒(⋠∜(≮⫘↔11110101010∽≮⫘↔1000101011101)))⨭⪣((≮⫘↔10001001111001⊉≛↸≮⫘↔101010100010)∑⇟⊟≮⫘↔11110010000∛≮⫘↔10101111011⨽(≮⫘↔111001110101≳⇉≮⫘↔111010100101)⋕⪉⪜(≮⫘↔100111010110+⇶⊼≮⫘↔101010010100))","cot":[{"info":"≮⫘↔1100000011100↤⩊≮⫘↔11011101110=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"≮⫘↔11110101010∽≮⫘↔1000101011101=≮⫘↔-101100110110111","layer":3},{"info":"⋠∜≮⫘↔-101100110110111=≮⫘↔-10101110111110000","layer":2},{"info":"NaN⨒≮⫘↔-10101110111110000=NaN","layer":1},{"info":"≮⫘↔10001001111001⊉≛↸≮⫘↔101010100010=≮⫘↔100010011110010","layer":3},{"info":"≮⫘↔11110010000∛≮⫘↔10101111011=≮⫘↔1000011","layer":3},{"info":"≮⫘↔100010011110010∑⇟⊟≮⫘↔1000011=NaN","layer":2},{"info":"≮⫘↔111001110101≳⇉≮⫘↔111010100101=NaN","layer":3},{"info":"≮⫘↔100111010110+⇶⊼≮⫘↔101010010100=NaN","layer":3},{"info":"NaN⋕⪉⪜NaN=≮⫘↔11001100","layer":2},{"info":"NaN⨽≮⫘↔11001100=NaN","layer":1},{"info":"NaN⨭⪣NaN=≮⫘↔-10101","layer":0}]}
{"id":766,"expression_no_base_symbol":"⊁⨺(⊀($2384$⨎$3895$))⊢(∓⪦(⪁⇼$1370$))","expression":"⊁⨺(⊀(≮⫘↔100101010000⨎≮⫘↔111100110111))⊢(∓⪦(⪁⇼≮⫘↔10101011010))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":98,"operation_count":6,"complexity_ratio":16.333333333333332,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2384,"base":2},"right_expr":{"type":"numeric_atoms","value":3895,"base":2}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1370,"base":2}}}}},"used_operators":["PxiHyQbrIp","5twsqlHp2o","oPMjh9089D","rJVOvQCfKK","D309nIvmXG","ZNVVrZ94lY"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"≮⫘↔-110100100101010001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2384","layer":4},{"info":"number node, value=3895","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=3895, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3895","layer":3},{"info":"compute unary expreesion, input=3895, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=15318","layer":2},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-853","layer":2},{"info":"compute binary expreesion, left_input=15318, right_input=-853, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-30880","layer":1},{"info":"compute unary expreesion, input=-30880, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-215377","layer":0}],"base":2,"result_base":2,"text":"⊁⨺(⊀(≮⫘↔100101010000⨎≮⫘↔111100110111))⊢(∓⪦(⪁⇼≮⫘↔10101011010))=≮⫘↔-110100100101010001","reverse_text":"≮⫘↔-110100100101010001=⊁⨺(⊀(≮⫘↔100101010000⨎≮⫘↔111100110111))⊢(∓⪦(⪁⇼≮⫘↔10101011010))","cot":[{"info":"≮⫘↔100101010000⨎≮⫘↔111100110111=≮⫘↔111100110111","layer":3},{"info":"⊀≮⫘↔111100110111=≮⫘↔11101111010110","layer":2},{"info":"⪁⇼≮⫘↔10101011010=≮⫘↔110100110","layer":3},{"info":"∓⪦≮⫘↔110100110=≮⫘↔-1101010101","layer":2},{"info":"≮⫘↔11101111010110⊢≮⫘↔-1101010101=≮⫘↔-111100010100000","layer":1},{"info":"⊁⨺≮⫘↔-111100010100000=≮⫘↔-110100100101010001","layer":0}]}
{"id":767,"expression_no_base_symbol":"($4462$⨭⪣$3879$∙⊟(≀↧⇸$7072$))≧⫂∧($7200$⋷$5373$)≀⫉(⩦⊞$1541$)⪉⨛((↯⪼$6257$)-$6635$⫸⇳$4070$)∺≝⩲(($1727$⪒$1777$)⩼⇪↪$2052$⇤$3807$)","expression":"(≮⫘↔1000101101110⨭⪣≮⫘↔111100100111∙⊟(≀↧⇸≮⫘↔1101110100000))≧⫂∧(≮⫘↔1110000100000⋷≮⫘↔1010011111101)≀⫉(⩦⊞≮⫘↔11000000101)⪉⨛((↯⪼≮⫘↔1100001110001)-≮⫘↔1100111101011⫸⇳≮⫘↔111111100110)∺≝⩲((≮⫘↔11010111111⪒≮⫘↔11011110001)⩼⇪↪≮⫘↔100000000100⇤≮⫘↔111011011111)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3555,"operation_count":15,"complexity_ratio":237.0,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4462,"base":2},"right_expr":{"type":"numeric_atoms","value":3879,"base":2}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":7072,"base":2}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7200,"base":2},"right_expr":{"type":"numeric_atoms","value":5373,"base":2}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1541,"base":2}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6257,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":6635,"base":2},"right_expr":{"type":"numeric_atoms","value":4070,"base":2}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1727,"base":2},"right_expr":{"type":"numeric_atoms","value":1777,"base":2}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2052,"base":2},"right_expr":{"type":"numeric_atoms","value":3807,"base":2}}}}},"used_operators":["EWw2JM7wp4","Ph9nP6C5qx","SxTAKzQCrw","kn8WO9XteQ","ljTHtUsqzn","oZj3VtZNQx","23Mk6UjR3U","u7fv1HBiaC","KPf6cnQVty","rysDP5nf3Z","8jW3W4yZS5","gx7XJ7hdpj","ocnLzx9CaJ","f6k1SAg4EE","YSKBFp38Pu"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","XPYlsWDdGa","23Mk6UjR3U","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≮⫘↔1101110111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4462","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=3879, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3183","layer":3},{"info":"number node, value=7072","layer":4},{"info":"compute unary expreesion, input=7072, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=14144","layer":3},{"info":"compute binary expreesion, left_input=3183, right_input=14144, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=51225","layer":2},{"info":"number node, value=7200","layer":4},{"info":"number node, value=5373","layer":4},{"info":"compute binary expreesion, left_input=7200, right_input=5373, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3546","layer":3},{"info":"number node, value=1541","layer":4},{"info":"compute unary expreesion, input=1541, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1268","layer":3},{"info":"compute binary expreesion, left_input=3546, right_input=-1268, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=51225, right_input=2822, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2349","layer":1},{"info":"number node, value=6257","layer":4},{"info":"compute unary expreesion, input=6257, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=6635","layer":4},{"info":"number node, value=4070","layer":4},{"info":"compute binary expreesion, left_input=6635, right_input=4070, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-21","layer":2},{"info":"number node, value=1727","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1777, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3504","layer":3},{"info":"number node, value=2052","layer":4},{"info":"number node, value=3807","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=3807, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-26447","layer":3},{"info":"compute binary expreesion, left_input=-3504, right_input=-26447, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=177338","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=177338, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=2349, right_input=160, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7102","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000101101110⨭⪣≮⫘↔111100100111∙⊟(≀↧⇸≮⫘↔1101110100000))≧⫂∧(≮⫘↔1110000100000⋷≮⫘↔1010011111101)≀⫉(⩦⊞≮⫘↔11000000101)⪉⨛((↯⪼≮⫘↔1100001110001)-≮⫘↔1100111101011⫸⇳≮⫘↔111111100110)∺≝⩲((≮⫘↔11010111111⪒≮⫘↔11011110001)⩼⇪↪≮⫘↔100000000100⇤≮⫘↔111011011111)=≮⫘↔1101110111110","reverse_text":"≮⫘↔1101110111110=(≮⫘↔1000101101110⨭⪣≮⫘↔111100100111∙⊟(≀↧⇸≮⫘↔1101110100000))≧⫂∧(≮⫘↔1110000100000⋷≮⫘↔1010011111101)≀⫉(⩦⊞≮⫘↔11000000101)⪉⨛((↯⪼≮⫘↔1100001110001)-≮⫘↔1100111101011⫸⇳≮⫘↔111111100110)∺≝⩲((≮⫘↔11010111111⪒≮⫘↔11011110001)⩼⇪↪≮⫘↔100000000100⇤≮⫘↔111011011111)","cot":[{"info":"≮⫘↔1000101101110⨭⪣≮⫘↔111100100111=≮⫘↔110001101111","layer":3},{"info":"≀↧⇸≮⫘↔1101110100000=≮⫘↔11011101000000","layer":3},{"info":"≮⫘↔110001101111∙⊟≮⫘↔11011101000000=≮⫘↔1100100000011001","layer":2},{"info":"≮⫘↔1110000100000⋷≮⫘↔1010011111101=≮⫘↔110111011010","layer":3},{"info":"⩦⊞≮⫘↔11000000101=≮⫘↔-10011110100","layer":3},{"info":"≮⫘↔110111011010≀⫉≮⫘↔-10011110100=≮⫘↔101100000110","layer":2},{"info":"≮⫘↔1100100000011001≧⫂∧≮⫘↔101100000110=≮⫘↔100100101101","layer":1},{"info":"↯⪼≮⫘↔1100001110001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1100111101011⫸⇳≮⫘↔111111100110=≮⫘↔0","layer":3},{"info":"≮⫘↔-10101-≮⫘↔0=≮⫘↔-10101","layer":2},{"info":"≮⫘↔11010111111⪒≮⫘↔11011110001=≮⫘↔-110110110000","layer":3},{"info":"≮⫘↔100000000100⇤≮⫘↔111011011111=≮⫘↔-110011101001111","layer":3},{"info":"≮⫘↔-110110110000⩼⇪↪≮⫘↔-110011101001111=≮⫘↔101011010010111010","layer":2},{"info":"≮⫘↔-10101∺≝⩲≮⫘↔101011010010111010=≮⫘↔10100000","layer":1},{"info":"≮⫘↔100100101101⪉⨛≮⫘↔10100000=≮⫘↔1101110111110","layer":0}]}
{"id":768,"expression_no_base_symbol":"($1726$⇴$7408$⋾⨃∁$4905$∺≝⩲$4704$≃$1505$≹⇙⪍$1647$≨($2412$⨱∎))⇤(($2494$⋆⋳)⊋≦⊧($1506$⊿∆)≥⨤⩑($2566$≌$5026$⨽(⪨⨬$2443$)))","expression":"(≮⫘↔11010111110⇴≮⫘↔1110011110000⋾⨃∁≮⫘↔1001100101001∺≝⩲≮⫘↔1001001100000≃≮⫘↔10111100001≹⇙⪍≮⫘↔11001101111≨(≮⫘↔100101101100⨱∎))⇤((≮⫘↔100110111110⋆⋳)⊋≦⊧(≮⫘↔10111100010⊿∆)≥⨤⩑(≮⫘↔101000000110≌≮⫘↔1001110100010⨽(⪨⨬≮⫘↔100110001011)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5531,"operation_count":15,"complexity_ratio":368.73333333333335,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1726,"base":2},"right_expr":{"type":"numeric_atoms","value":7408,"base":2}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4905,"base":2},"right_expr":{"type":"numeric_atoms","value":4704,"base":2}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1505,"base":2},"right_expr":{"type":"numeric_atoms","value":1647,"base":2}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2412,"base":2}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2494,"base":2}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1506,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2566,"base":2},"right_expr":{"type":"numeric_atoms","value":5026,"base":2}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2443,"base":2}}}}},"used_operators":["YSKBFp38Pu","YbVcJGFEVW","212REbPD9h","4JB6nKBMSY","KPf6cnQVty","0KMCeP1Jsh","AHs5Up7iyr","MmTdOpaElr","gJLn6v0xnP","oRDoc9rAEX","6MpZysEj17","fv3ZujxkQL","8HhzD0ZcuI","lyWz822IDG","5obUd6DV38"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","NTOWxs364D","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","dWAJyo7jo9","tifHPKVTfV","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","T2fj7uvVaJ","nlCqmYiOvY"],"result":"≮⫘↔-111001010011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1726","layer":4},{"info":"number node, value=7408","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=7408, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=24786","layer":3},{"info":"number node, value=4905","layer":4},{"info":"number node, value=4704","layer":4},{"info":"compute binary expreesion, left_input=4905, right_input=4704, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=24786, right_input=160, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=253986","layer":2},{"info":"number node, value=1505","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=1647, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2412","layer":4},{"info":"compute unary expreesion, input=2412, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=253986, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":1},{"info":"number node, value=2494","layer":4},{"info":"compute unary expreesion, input=2494, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-5020","layer":3},{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3133","layer":3},{"info":"compute binary expreesion, left_input=-5020, right_input=-3133, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=2566","layer":4},{"info":"number node, value=5026","layer":4},{"info":"compute binary expreesion, left_input=2566, right_input=5026, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2443","layer":4},{"info":"compute unary expreesion, input=2443, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-526, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=69, right_input=1234, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-3667","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11010111110⇴≮⫘↔1110011110000⋾⨃∁≮⫘↔1001100101001∺≝⩲≮⫘↔1001001100000≃≮⫘↔10111100001≹⇙⪍≮⫘↔11001101111≨(≮⫘↔100101101100⨱∎))⇤((≮⫘↔100110111110⋆⋳)⊋≦⊧(≮⫘↔10111100010⊿∆)≥⨤⩑(≮⫘↔101000000110≌≮⫘↔1001110100010⨽(⪨⨬≮⫘↔100110001011)))=≮⫘↔-111001010011","reverse_text":"≮⫘↔-111001010011=(≮⫘↔11010111110⇴≮⫘↔1110011110000⋾⨃∁≮⫘↔1001100101001∺≝⩲≮⫘↔1001001100000≃≮⫘↔10111100001≹⇙⪍≮⫘↔11001101111≨(≮⫘↔100101101100⨱∎))⇤((≮⫘↔100110111110⋆⋳)⊋≦⊧(≮⫘↔10111100010⊿∆)≥⨤⩑(≮⫘↔101000000110≌≮⫘↔1001110100010⨽(⪨⨬≮⫘↔100110001011)))","cot":[{"info":"≮⫘↔11010111110⇴≮⫘↔1110011110000=≮⫘↔110000011010010","layer":3},{"info":"≮⫘↔1001100101001∺≝⩲≮⫘↔1001001100000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔110000011010010⋾⨃∁≮⫘↔10100000=≮⫘↔111110000000100010","layer":2},{"info":"≮⫘↔10111100001≹⇙⪍≮⫘↔11001101111=NaN","layer":3},{"info":"≮⫘↔100101101100⨱∎=≮⫘↔0","layer":3},{"info":"NaN≨≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔111110000000100010≃NaN=≮⫘↔1000101","layer":1},{"info":"≮⫘↔100110111110⋆⋳=≮⫘↔-1001110011100","layer":3},{"info":"≮⫘↔10111100010⊿∆=≮⫘↔-110000111101","layer":3},{"info":"≮⫘↔-1001110011100⊋≦⊧≮⫘↔-110000111101=≮⫘↔11000000","layer":2},{"info":"≮⫘↔101000000110≌≮⫘↔1001110100010=NaN","layer":3},{"info":"⪨⨬≮⫘↔100110001011=≮⫘↔-1000001110","layer":3},{"info":"NaN⨽≮⫘↔-1000001110=NaN","layer":2},{"info":"≮⫘↔11000000≥⨤⩑NaN=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔1000101⇤≮⫘↔10011010010=≮⫘↔-111001010011","layer":0}]}
{"id":769,"expression_no_base_symbol":"(($1603$∕⩚$7969$)↺$6194$⩘$1848$)≁($1094$⨫⇇↔$8383$)⊕∕($1087$⨽∌$4820$)⋳⪒($8440$∈)⨐($1090$⊍⩺⋍$8240$)⨔⇊($2261$⇤$1682$⇴($1017$≀⩗∶$1197$))","expression":"((≮⫘↔11001000011∕⩚≮⫘↔1111100100001)↺≮⫘↔1100000110010⩘≮⫘↔11100111000)≁(≮⫘↔10001000110⨫⇇↔≮⫘↔10000010111111)⊕∕(≮⫘↔10000111111⨽∌≮⫘↔1001011010100)⋳⪒(≮⫘↔10000011111000∈)⨐(≮⫘↔10001000010⊍⩺⋍≮⫘↔10000000110000)⨔⇊(≮⫘↔100011010101⇤≮⫘↔11010010010⇴(≮⫘↔1111111001≀⩗∶≮⫘↔10010101101))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":2175,"operation_count":15,"complexity_ratio":145.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1603,"base":2},"right_expr":{"type":"numeric_atoms","value":7969,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":6194,"base":2},"right_expr":{"type":"numeric_atoms","value":1848,"base":2}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1094,"base":2},"right_expr":{"type":"numeric_atoms","value":8383,"base":2}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1087,"base":2},"right_expr":{"type":"numeric_atoms","value":4820,"base":2}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":8440,"base":2}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1090,"base":2},"right_expr":{"type":"numeric_atoms","value":8240,"base":2}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2261,"base":2},"right_expr":{"type":"numeric_atoms","value":1682,"base":2}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1017,"base":2},"right_expr":{"type":"numeric_atoms","value":1197,"base":2}}}}},"used_operators":["12rbrZMWeM","8N2wDY1A35","7j4O788W3g","z9ffQ9n5Zr","cHh1gJQ2o6","9cloC0Ngie","LXhwmt4mBO","9samAPKr6k","JclMnS0uGI","Noe24qw2ks","ztP7wcbY7m","OXDGMFPWZM","4JB6nKBMSY","YSKBFp38Pu","8INZBEW696"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"≮⫘↔-100111011011001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1603","layer":4},{"info":"number node, value=7969","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=7969, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1606","layer":3},{"info":"number node, value=6194","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=6194, right_input=1848, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1606, right_input=160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=160","layer":2},{"info":"number node, value=1094","layer":4},{"info":"number node, value=8383","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=8383, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1087","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=4820, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-527, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-25245","layer":1},{"info":"number node, value=8440","layer":4},{"info":"compute unary expreesion, input=8440, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=24649","layer":3},{"info":"number node, value=1090","layer":4},{"info":"number node, value=8240","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=8240, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=24649, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-49298","layer":2},{"info":"number node, value=2261","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=1682, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-16867","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1197, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-16867, right_input=-3, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-101594","layer":2},{"info":"compute binary expreesion, left_input=-49298, right_input=-101594, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=110709","layer":1},{"info":"compute binary expreesion, left_input=-25245, right_input=110709, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-161486","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11001000011∕⩚≮⫘↔1111100100001)↺≮⫘↔1100000110010⩘≮⫘↔11100111000)≁(≮⫘↔10001000110⨫⇇↔≮⫘↔10000010111111)⊕∕(≮⫘↔10000111111⨽∌≮⫘↔1001011010100)⋳⪒(≮⫘↔10000011111000∈)⨐(≮⫘↔10001000010⊍⩺⋍≮⫘↔10000000110000)⨔⇊(≮⫘↔100011010101⇤≮⫘↔11010010010⇴(≮⫘↔1111111001≀⩗∶≮⫘↔10010101101))=≮⫘↔-100111011011001110","reverse_text":"≮⫘↔-100111011011001110=((≮⫘↔11001000011∕⩚≮⫘↔1111100100001)↺≮⫘↔1100000110010⩘≮⫘↔11100111000)≁(≮⫘↔10001000110⨫⇇↔≮⫘↔10000010111111)⊕∕(≮⫘↔10000111111⨽∌≮⫘↔1001011010100)⋳⪒(≮⫘↔10000011111000∈)⨐(≮⫘↔10001000010⊍⩺⋍≮⫘↔10000000110000)⨔⇊(≮⫘↔100011010101⇤≮⫘↔11010010010⇴(≮⫘↔1111111001≀⩗∶≮⫘↔10010101101))","cot":[{"info":"≮⫘↔11001000011∕⩚≮⫘↔1111100100001=≮⫘↔-11001000110","layer":3},{"info":"≮⫘↔1100000110010⩘≮⫘↔11100111000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-11001000110↺≮⫘↔10100000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10001000110⨫⇇↔≮⫘↔10000010111111=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔10000111111⨽∌≮⫘↔1001011010100=≮⫘↔0","layer":3},{"info":"≮⫘↔-1000001111⊕∕≮⫘↔0=≮⫘↔-1000001111","layer":2},{"info":"≮⫘↔10100000≁≮⫘↔-1000001111=≮⫘↔-110001010011101","layer":1},{"info":"≮⫘↔10000011111000∈=≮⫘↔110000001001001","layer":3},{"info":"≮⫘↔10001000010⊍⩺⋍≮⫘↔10000000110000=NaN","layer":3},{"info":"≮⫘↔110000001001001⨐NaN=≮⫘↔-1100000010010010","layer":2},{"info":"≮⫘↔100011010101⇤≮⫘↔11010010010=≮⫘↔-100000111100011","layer":3},{"info":"≮⫘↔1111111001≀⩗∶≮⫘↔10010101101=≮⫘↔-11","layer":3},{"info":"≮⫘↔-100000111100011⇴≮⫘↔-11=≮⫘↔-11000110011011010","layer":2},{"info":"≮⫘↔-1100000010010010⨔⇊≮⫘↔-11000110011011010=≮⫘↔11011000001110101","layer":1},{"info":"≮⫘↔-110001010011101⋳⪒≮⫘↔11011000001110101=≮⫘↔-100111011011001110","layer":0}]}
{"id":770,"expression_no_base_symbol":"(⨵($1450$⇻⋧≁$1049$⊟⇱))≌($2952$⩘$1403$⪭(↽≂$4671$))⇡⇂($4888$⪟⇏$3557$⪬∳)","expression":"(⨵(≮⫘↔10110101010⇻⋧≁≮⫘↔10000011001⊟⇱))≌(≮⫘↔101110001000⩘≮⫘↔10101111011⪭(↽≂≮⫘↔1001000111111))⇡⇂(≮⫘↔1001100011000⪟⇏≮⫘↔110111100101⪬∳)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":233655,"operation_count":10,"complexity_ratio":23365.5,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1450,"base":2},"right_expr":{"type":"numeric_atoms","value":1049,"base":2}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2952,"base":2},"right_expr":{"type":"numeric_atoms","value":1403,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4671,"base":2}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4888,"base":2},"right_expr":{"type":"numeric_atoms","value":3557,"base":2}}}}},"used_operators":["lyWz822IDG","Tl3Y52tvF8","03sUfWo75k","jCPkEVoL5K","UMwdvZNt44","j9kHMeSvPp","cHh1gJQ2o6","u6S6b8DprG","O9U3z1385E","GODebY97qR"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","IWmyXbctLI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","COABgblf1C","xUOZtlo3hN","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"≮⫘↔1111001000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1450","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=1049, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-578","layer":2},{"info":"compute unary expreesion, input=-578, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=16727","layer":1},{"info":"number node, value=2952","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=1403, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4671","layer":4},{"info":"compute unary expreesion, input=4671, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9342","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-9342, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-334","layer":2},{"info":"number node, value=4888","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=4888, right_input=3557, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=-334, right_input=-709, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-331","layer":1},{"info":"compute binary expreesion, left_input=16727, right_input=-331, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=7744","layer":0}],"base":2,"result_base":2,"text":"(⨵(≮⫘↔10110101010⇻⋧≁≮⫘↔10000011001⊟⇱))≌(≮⫘↔101110001000⩘≮⫘↔10101111011⪭(↽≂≮⫘↔1001000111111))⇡⇂(≮⫘↔1001100011000⪟⇏≮⫘↔110111100101⪬∳)=≮⫘↔1111001000000","reverse_text":"≮⫘↔1111001000000=(⨵(≮⫘↔10110101010⇻⋧≁≮⫘↔10000011001⊟⇱))≌(≮⫘↔101110001000⩘≮⫘↔10101111011⪭(↽≂≮⫘↔1001000111111))⇡⇂(≮⫘↔1001100011000⪟⇏≮⫘↔110111100101⪬∳)","cot":[{"info":"≮⫘↔10110101010⇻⋧≁≮⫘↔10000011001=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-110111111⊟⇱=≮⫘↔-1001000010","layer":2},{"info":"⨵≮⫘↔-1001000010=≮⫘↔100000101010111","layer":1},{"info":"≮⫘↔101110001000⩘≮⫘↔10101111011=≮⫘↔10100000","layer":3},{"info":"↽≂≮⫘↔1001000111111=≮⫘↔-10010001111110","layer":3},{"info":"≮⫘↔10100000⪭≮⫘↔-10010001111110=≮⫘↔-101001110","layer":2},{"info":"≮⫘↔1001100011000⪟⇏≮⫘↔110111100101=≮⫘↔-1","layer":3},{"info":"≮⫘↔-1⪬∳=≮⫘↔-1011000101","layer":2},{"info":"≮⫘↔-101001110⇡⇂≮⫘↔-1011000101=≮⫘↔-101001011","layer":1},{"info":"≮⫘↔100000101010111≌≮⫘↔-101001011=≮⫘↔1111001000000","layer":0}]}
{"id":771,"expression_no_base_symbol":"($2791$∌↝$2380$⫰⋱$2049$⊉↱≁$3550$≬⋮$3269$≒∊$5045$⊨$1827$↢$2990$)⫞⩸⩒((∜⨇($1215$⫸⊐$1073$))⋅⇍(($3328$-$2870$)⪚⩙≫))","expression":"(≮⫘↔101011100111∌↝≮⫘↔100101001100⫰⋱≮⫘↔100000000001⊉↱≁≮⫘↔110111011110≬⋮≮⫘↔110011000101≒∊≮⫘↔1001110110101⊨≮⫘↔11100100011↢≮⫘↔101110101110)⫞⩸⩒((∜⨇(≮⫘↔10010111111⫸⊐≮⫘↔10000110001))⋅⇍((≮⫘↔110100000000-≮⫘↔101100110110)⪚⩙≫))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":187,"operation_count":13,"complexity_ratio":14.384615384615385,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2791,"base":2},"right_expr":{"type":"numeric_atoms","value":2380,"base":2}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2049,"base":2},"right_expr":{"type":"numeric_atoms","value":3550,"base":2}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3269,"base":2},"right_expr":{"type":"numeric_atoms","value":5045,"base":2}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1827,"base":2},"right_expr":{"type":"numeric_atoms","value":2990,"base":2}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1215,"base":2},"right_expr":{"type":"numeric_atoms","value":1073,"base":2}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3328,"base":2},"right_expr":{"type":"numeric_atoms","value":2870,"base":2}}}}},"used_operators":["XGcMNugi78","kbkesczE7y","6o9Blt3TJ6","9Isq31Ruls","w2P8NbNXyL","vg4gO5BX6G","5KTvxBwnZo","WR6HLWljOP","AdZkA7nFnk","uFPyJr306J","mqXw5SEYmG","4n53wtyJvv","rysDP5nf3Z"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"≮⫘↔1101100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2791","layer":4},{"info":"number node, value=2380","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=2380, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=3550, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-1924","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1924, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=1991","layer":2},{"info":"number node, value=3269","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=3269, right_input=5045, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2785","layer":3},{"info":"number node, value=1827","layer":4},{"info":"number node, value=2990","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=2990, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1343","layer":3},{"info":"compute binary expreesion, left_input=-2785, right_input=1343, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=1991, right_input=-174, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1215","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=1073, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4167","layer":3},{"info":"compute unary expreesion, input=4167, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=3328","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=3328, right_input=2870, op_id = rysDP5nf3Z binary_op_definition= 'None', output=458","layer":3},{"info":"compute unary expreesion, input=458, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=868","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101011100111∌↝≮⫘↔100101001100⫰⋱≮⫘↔100000000001⊉↱≁≮⫘↔110111011110≬⋮≮⫘↔110011000101≒∊≮⫘↔1001110110101⊨≮⫘↔11100100011↢≮⫘↔101110101110)⫞⩸⩒((∜⨇(≮⫘↔10010111111⫸⊐≮⫘↔10000110001))⋅⇍((≮⫘↔110100000000-≮⫘↔101100110110)⪚⩙≫))=≮⫘↔1101100100","reverse_text":"≮⫘↔1101100100=(≮⫘↔101011100111∌↝≮⫘↔100101001100⫰⋱≮⫘↔100000000001⊉↱≁≮⫘↔110111011110≬⋮≮⫘↔110011000101≒∊≮⫘↔1001110110101⊨≮⫘↔11100100011↢≮⫘↔101110101110)⫞⩸⩒((∜⨇(≮⫘↔10010111111⫸⊐≮⫘↔10000110001))⋅⇍((≮⫘↔110100000000-≮⫘↔101100110110)⪚⩙≫))","cot":[{"info":"≮⫘↔101011100111∌↝≮⫘↔100101001100=≮⫘↔0","layer":3},{"info":"≮⫘↔100000000001⊉↱≁≮⫘↔110111011110=≮⫘↔-11110000100","layer":3},{"info":"≮⫘↔0⫰⋱≮⫘↔-11110000100=≮⫘↔11111000111","layer":2},{"info":"≮⫘↔110011000101≒∊≮⫘↔1001110110101=≮⫘↔-101011100001","layer":3},{"info":"≮⫘↔11100100011↢≮⫘↔101110101110=≮⫘↔10100111111","layer":3},{"info":"≮⫘↔-101011100001⊨≮⫘↔10100111111=≮⫘↔-10101110","layer":2},{"info":"≮⫘↔11111000111≬⋮≮⫘↔-10101110=≮⫘↔1101100100","layer":1},{"info":"≮⫘↔10010111111⫸⊐≮⫘↔10000110001=≮⫘↔1000001000111","layer":3},{"info":"∜⨇≮⫘↔1000001000111=NaN","layer":2},{"info":"≮⫘↔110100000000-≮⫘↔101100110110=≮⫘↔111001010","layer":3},{"info":"≮⫘↔111001010⪚⩙≫=NaN","layer":2},{"info":"NaN⋅⇍NaN=NaN","layer":1},{"info":"≮⫘↔1101100100⫞⩸⩒NaN=≮⫘↔1101100100","layer":0}]}
{"id":772,"expression_no_base_symbol":"(($4853$⊢$5636$)∊∟⩊($3290$⨪↰⇹$1599$)≭$3844$⨚$1020$≄⊠($3027$+$1651$))⨝⩣∺","expression":"((≮⫘↔1001011110101⊢≮⫘↔1011000000100)∊∟⩊(≮⫘↔110011011010⨪↰⇹≮⫘↔11000111111)≭≮⫘↔111100000100⨚≮⫘↔1111111100≄⊠(≮⫘↔101111010011+≮⫘↔11001110011))⨝⩣∺","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3394,"operation_count":8,"complexity_ratio":424.25,"tree":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4853,"base":2},"right_expr":{"type":"numeric_atoms","value":5636,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3290,"base":2},"right_expr":{"type":"numeric_atoms","value":1599,"base":2}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3844,"base":2},"right_expr":{"type":"numeric_atoms","value":1020,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3027,"base":2},"right_expr":{"type":"numeric_atoms","value":1651,"base":2}}}}},"used_operators":["ancx8kZcWl","rxpJgHHUmx","ddLRYrp01A","5twsqlHp2o","tmPS8pqC7x","vXNesLlMH1","nREPSIbpBE","W4YGzv6Whe"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","AHs5Up7iyr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rJVOvQCfKK","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4853","layer":4},{"info":"number node, value=5636","layer":4},{"info":"compute binary expreesion, left_input=4853, right_input=5636, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9950","layer":3},{"info":"number node, value=3290","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=1599, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3290","layer":3},{"info":"compute binary expreesion, left_input=-9950, right_input=3290, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3290","layer":2},{"info":"number node, value=3844","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=3844, right_input=1020, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4542","layer":3},{"info":"number node, value=3027","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=1651, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4678","layer":3},{"info":"compute binary expreesion, left_input=4542, right_input=4678, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=79516","layer":2},{"info":"compute binary expreesion, left_input=3290, right_input=79516, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001011110101⊢≮⫘↔1011000000100)∊∟⩊(≮⫘↔110011011010⨪↰⇹≮⫘↔11000111111)≭≮⫘↔111100000100⨚≮⫘↔1111111100≄⊠(≮⫘↔101111010011+≮⫘↔11001110011))⨝⩣∺=NaN","reverse_text":"NaN=((≮⫘↔1001011110101⊢≮⫘↔1011000000100)∊∟⩊(≮⫘↔110011011010⨪↰⇹≮⫘↔11000111111)≭≮⫘↔111100000100⨚≮⫘↔1111111100≄⊠(≮⫘↔101111010011+≮⫘↔11001110011))⨝⩣∺","cot":[{"info":"≮⫘↔1001011110101⊢≮⫘↔1011000000100=≮⫘↔-10011011011110","layer":3},{"info":"≮⫘↔110011011010⨪↰⇹≮⫘↔11000111111=≮⫘↔110011011010","layer":3},{"info":"≮⫘↔-10011011011110∊∟⩊≮⫘↔110011011010=≮⫘↔110011011010","layer":2},{"info":"≮⫘↔111100000100⨚≮⫘↔1111111100=≮⫘↔1000110111110","layer":3},{"info":"≮⫘↔101111010011+≮⫘↔11001110011=≮⫘↔1001001000110","layer":3},{"info":"≮⫘↔1000110111110≄⊠≮⫘↔1001001000110=≮⫘↔10011011010011100","layer":2},{"info":"≮⫘↔110011011010≭≮⫘↔10011011010011100=NaN","layer":1},{"info":"NaN⨝⩣∺=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"(⊊≼∋($2208$⩷∴$1004$⫢⨠(≛$4778$)))⋾⨃∁((($3178$↸$2412$)⪠⩆⊳)∀⊥⇻)","expression":"(⊊≼∋(≮⫘↔100010100000⩷∴≮⫘↔1111101100⫢⨠(≛≮⫘↔1001010101010)))⋾⨃∁(((≮⫘↔110001101010↸≮⫘↔100101101100)⪠⩆⊳)∀⊥⇻)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3476,"operation_count":8,"complexity_ratio":434.5,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2208,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":4778,"base":2}}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3178,"base":2},"right_expr":{"type":"numeric_atoms","value":2412,"base":2}}}}},"used_operators":["212REbPD9h","FWz7pXsQhA","xlXykHWxX1","9FxExcQeMw","W7eaUhjymW","k4iM1060OG","JLbD19bQDL","1eCjFl0mb9"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","B5M0gjZbta","jCPkEVoL5K","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"≮⫘↔-1011110","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2208","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=1004, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2376","layer":3},{"info":"number node, value=4778","layer":4},{"info":"compute unary expreesion, input=4778, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=2376, right_input=-10, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=646","layer":2},{"info":"compute unary expreesion, input=646, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"number node, value=3178","layer":4},{"info":"number node, value=2412","layer":4},{"info":"compute binary expreesion, left_input=3178, right_input=2412, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3178","layer":3},{"info":"compute unary expreesion, input=3178, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":0}],"base":2,"result_base":2,"text":"(⊊≼∋(≮⫘↔100010100000⩷∴≮⫘↔1111101100⫢⨠(≛≮⫘↔1001010101010)))⋾⨃∁(((≮⫘↔110001101010↸≮⫘↔100101101100)⪠⩆⊳)∀⊥⇻)=≮⫘↔-1011110","reverse_text":"≮⫘↔-1011110=(⊊≼∋(≮⫘↔100010100000⩷∴≮⫘↔1111101100⫢⨠(≛≮⫘↔1001010101010)))⋾⨃∁(((≮⫘↔110001101010↸≮⫘↔100101101100)⪠⩆⊳)∀⊥⇻)","cot":[{"info":"≮⫘↔100010100000⩷∴≮⫘↔1111101100=≮⫘↔100101001000","layer":3},{"info":"≛≮⫘↔1001010101010=≮⫘↔-1010","layer":3},{"info":"≮⫘↔100101001000⫢⨠≮⫘↔-1010=≮⫘↔1010000110","layer":2},{"info":"⊊≼∋≮⫘↔1010000110=≮⫘↔-110111111","layer":1},{"info":"≮⫘↔110001101010↸≮⫘↔100101101100=≮⫘↔110001101010","layer":3},{"info":"≮⫘↔110001101010⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔0∀⊥⇻=≮⫘↔0","layer":1},{"info":"≮⫘↔-110111111⋾⨃∁≮⫘↔0=≮⫘↔-1011110","layer":0}]}
{"id":774,"expression_no_base_symbol":"(($2887$∴$4705$⨘⋶⪀)⪭≯($5890$⊍⩺⋍$2514$)⩧⪆($6529$⇮⋭$5374$))⊬⨰((⊆⋠$3706$)↙(⫶⊄≣$1476$)⫲)","expression":"((≮⫘↔101101000111∴≮⫘↔1001001100001⨘⋶⪀)⪭≯(≮⫘↔1011100000010⊍⩺⋍≮⫘↔100111010010)⩧⪆(≮⫘↔1100110000001⇮⋭≮⫘↔1010011111110))⊬⨰((⊆⋠≮⫘↔111001111010)↙(⫶⊄≣≮⫘↔10111000100)⫲)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2085,"operation_count":11,"complexity_ratio":189.54545454545453,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2887,"base":2},"right_expr":{"type":"numeric_atoms","value":4705,"base":2}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":5890,"base":2},"right_expr":{"type":"numeric_atoms","value":2514,"base":2}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":6529,"base":2},"right_expr":{"type":"numeric_atoms","value":5374,"base":2}}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3706,"base":2}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1476,"base":2}}}}},"used_operators":["s3Fd5m9Dh2","XAx5wpdLa6","XVKwrhznBb","hrf7POJlIJ","Ikt5ks8PT7","OXDGMFPWZM","vkpjKywKVM","9xnGDUPbC6","yyfyN0ffXY","EBhcHTkKd8","wxb3vTeyAj"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eewbuw0ToL","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2887","layer":4},{"info":"number node, value=4705","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=4705, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7422","layer":3},{"info":"compute unary expreesion, input=7422, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"number node, value=5890","layer":4},{"info":"number node, value=2514","layer":4},{"info":"compute binary expreesion, left_input=5890, right_input=2514, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=6529","layer":4},{"info":"number node, value=5374","layer":4},{"info":"compute binary expreesion, left_input=6529, right_input=5374, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=473, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=3706","layer":4},{"info":"compute unary expreesion, input=3706, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=1476","layer":4},{"info":"compute unary expreesion, input=1476, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=39237625","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=39237625, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-789","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-789, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101101000111∴≮⫘↔1001001100001⨘⋶⪀)⪭≯(≮⫘↔1011100000010⊍⩺⋍≮⫘↔100111010010)⩧⪆(≮⫘↔1100110000001⇮⋭≮⫘↔1010011111110))⊬⨰((⊆⋠≮⫘↔111001111010)↙(⫶⊄≣≮⫘↔10111000100)⫲)=NaN","reverse_text":"NaN=((≮⫘↔101101000111∴≮⫘↔1001001100001⨘⋶⪀)⪭≯(≮⫘↔1011100000010⊍⩺⋍≮⫘↔100111010010)⩧⪆(≮⫘↔1100110000001⇮⋭≮⫘↔1010011111110))⊬⨰((⊆⋠≮⫘↔111001111010)↙(⫶⊄≣≮⫘↔10111000100)⫲)","cot":[{"info":"≮⫘↔101101000111∴≮⫘↔1001001100001=≮⫘↔1110011111110","layer":3},{"info":"≮⫘↔1110011111110⨘⋶⪀=NaN","layer":2},{"info":"≮⫘↔1011100000010⊍⩺⋍≮⫘↔100111010010=NaN","layer":3},{"info":"≮⫘↔1100110000001⇮⋭≮⫘↔1010011111110=≮⫘↔-111011001","layer":3},{"info":"NaN⩧⪆≮⫘↔-111011001=≮⫘↔111011001","layer":2},{"info":"NaN⪭≯≮⫘↔111011001=NaN","layer":1},{"info":"⊆⋠≮⫘↔111001111010=≮⫘↔0","layer":3},{"info":"⫶⊄≣≮⫘↔10111000100=≮⫘↔10010101101011011111111001","layer":3},{"info":"≮⫘↔0↙≮⫘↔10010101101011011111111001=≮⫘↔0","layer":2},{"info":"≮⫘↔0⫲=≮⫘↔-1100010101","layer":1},{"info":"NaN⊬⨰≮⫘↔-1100010101=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"(⇺⋃$1764$)≎⪠($4772$∓⋝$1764$)⪥(($2579$⇌⫙⪟$1192$)⫲⨊)⊬⫿⊭","expression":"(⇺⋃≮⫘↔11011100100)≎⪠(≮⫘↔1001010100100∓⋝≮⫘↔11011100100)⪥((≮⫘↔101000010011⇌⫙⪟≮⫘↔10010101000)⫲⨊)⊬⫿⊭","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19270,"operation_count":7,"complexity_ratio":2752.8571428571427,"tree":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1764,"base":2}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4772,"base":2},"right_expr":{"type":"numeric_atoms","value":1764,"base":2}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2579,"base":2},"right_expr":{"type":"numeric_atoms","value":1192,"base":2}}}}},"used_operators":["v0DYgG9ikt","QbnwKVWMIQ","aNhz54LH3e","E5v5B3UAjG","PoHhknlbAi","CArV6hThFE","AFVx7xoS7T"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"≮⫘↔-111100101101001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1764","layer":4},{"info":"compute unary expreesion, input=1764, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=4772","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=4772, right_input=1764, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=2579","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=1192, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=1348","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=1348, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=82884","layer":1},{"info":"compute unary expreesion, input=82884, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-248652","layer":0}],"base":2,"result_base":2,"text":"(⇺⋃≮⫘↔11011100100)≎⪠(≮⫘↔1001010100100∓⋝≮⫘↔11011100100)⪥((≮⫘↔101000010011⇌⫙⪟≮⫘↔10010101000)⫲⨊)⊬⫿⊭=≮⫘↔-111100101101001100","reverse_text":"≮⫘↔-111100101101001100=(⇺⋃≮⫘↔11011100100)≎⪠(≮⫘↔1001010100100∓⋝≮⫘↔11011100100)⪥((≮⫘↔101000010011⇌⫙⪟≮⫘↔10010101000)⫲⨊)⊬⫿⊭","cot":[{"info":"⇺⋃≮⫘↔11011100100=NaN","layer":3},{"info":"≮⫘↔1001010100100∓⋝≮⫘↔11011100100=≮⫘↔1000011","layer":3},{"info":"NaN≎⪠≮⫘↔1000011=≮⫘↔100110001100110","layer":2},{"info":"≮⫘↔101000010011⇌⫙⪟≮⫘↔10010101000=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1110001⫲⨊=≮⫘↔10101000100","layer":2},{"info":"≮⫘↔100110001100110⪥≮⫘↔10101000100=≮⫘↔10100001111000100","layer":1},{"info":"≮⫘↔10100001111000100⊬⫿⊭=≮⫘↔-111100101101001100","layer":0}]}
{"id":776,"expression_no_base_symbol":"(-(∮$1853$)∌↝($2999$↑))⋾⨃∁(($1005$⪕$3323$)⇣⩺⋵($8148$⨔≚≋$1546$))⫘(($6033$⋹)⊋≦⊧(⊗$1137$))","expression":"(-(∮≮⫘↔11100111101)∌↝(≮⫘↔101110110111↑))⋾⨃∁((≮⫘↔1111101101⪕≮⫘↔110011111011)⇣⩺⋵(≮⫘↔1111111010100⨔≚≋≮⫘↔11000001010))⫘((≮⫘↔1011110010001⋹)⊋≦⊧(⊗≮⫘↔10001110001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":87778258,"operation_count":12,"complexity_ratio":7314854.833333333,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1853,"base":2}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2999,"base":2}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":3323,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":8148,"base":2},"right_expr":{"type":"numeric_atoms","value":1546,"base":2}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":6033,"base":2}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1137,"base":2}}}}},"used_operators":["212REbPD9h","t8gj7n24qd","9Isq31Ruls","CqXKPLVYql","BThhyOhh10","48vC8HMD2b","F4yD0voBRQ","umQnsF7QlU","Z57zeUYC9z","oRDoc9rAEX","opAxDRczMr","RhiyfpczSx"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1853","layer":4},{"info":"compute unary expreesion, input=1853, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=2999","layer":4},{"info":"compute unary expreesion, input=2999, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=222, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-666","layer":2},{"info":"compute unary expreesion, input=-666, op_id = t8gj7n24qd, unary_op_definition = 'None', output=666","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=3323","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=3323, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=8148","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=8148, right_input=1546, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=9872, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-19902","layer":2},{"info":"number node, value=6033","layer":4},{"info":"compute unary expreesion, input=6033, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=1137","layer":4},{"info":"compute unary expreesion, input=1137, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2274","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=-2274, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=-19902, right_input=192, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=87757559","layer":1},{"info":"compute binary expreesion, left_input=666, right_input=87757559, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(-(∮≮⫘↔11100111101)∌↝(≮⫘↔101110110111↑))⋾⨃∁((≮⫘↔1111101101⪕≮⫘↔110011111011)⇣⩺⋵(≮⫘↔1111111010100⨔≚≋≮⫘↔11000001010))⫘((≮⫘↔1011110010001⋹)⊋≦⊧(⊗≮⫘↔10001110001))=NaN","reverse_text":"NaN=(-(∮≮⫘↔11100111101)∌↝(≮⫘↔101110110111↑))⋾⨃∁((≮⫘↔1111101101⪕≮⫘↔110011111011)⇣⩺⋵(≮⫘↔1111111010100⨔≚≋≮⫘↔11000001010))⫘((≮⫘↔1011110010001⋹)⊋≦⊧(⊗≮⫘↔10001110001))","cot":[{"info":"∮≮⫘↔11100111101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔101110110111↑=≮⫘↔11011110","layer":3},{"info":"≮⫘↔1000011∌↝≮⫘↔11011110=≮⫘↔-1010011010","layer":2},{"info":"-≮⫘↔-1010011010=≮⫘↔1010011010","layer":1},{"info":"≮⫘↔1111101101⪕≮⫘↔110011111011=≮⫘↔-110111","layer":3},{"info":"≮⫘↔1111111010100⨔≚≋≮⫘↔11000001010=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔-110111⇣⩺⋵≮⫘↔10011010010000=≮⫘↔-100110110111110","layer":2},{"info":"≮⫘↔1011110010001⋹=≮⫘↔-10100","layer":3},{"info":"⊗≮⫘↔10001110001=≮⫘↔-100011100010","layer":3},{"info":"≮⫘↔-10100⊋≦⊧≮⫘↔-100011100010=≮⫘↔11000000","layer":2},{"info":"≮⫘↔-100110110111110⫘≮⫘↔11000000=≮⫘↔101001110110001001011110111","layer":1},{"info":"≮⫘↔1010011010⋾⨃∁≮⫘↔101001110110001001011110111=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"↩⪖($1150$⪡$2863$)⊕∕(⪝⪂⫅$2859$)∥⊢⊲($7998$⩖⊿$2150$⨰$4659$⊲⩕⊾$2978$)","expression":"↩⪖(≮⫘↔10001111110⪡≮⫘↔101100101111)⊕∕(⪝⪂⫅≮⫘↔101100101011)∥⊢⊲(≮⫘↔1111100111110⩖⊿≮⫘↔100001100110⨰≮⫘↔1001000110011⊲⩕⊾≮⫘↔101110100010)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":253,"operation_count":8,"complexity_ratio":31.625,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1150,"base":2},"right_expr":{"type":"numeric_atoms","value":2863,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2859,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":7998,"base":2},"right_expr":{"type":"numeric_atoms","value":2150,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4659,"base":2},"right_expr":{"type":"numeric_atoms","value":2978,"base":2}}}}},"used_operators":["fG6uBQFnGz","v1UQAVDJRr","9cloC0Ngie","oraRL2iQuh","XTarYq4gQB","eewbuw0ToL","RZ5CV9rWsJ","DmTXOeWf9t"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1150","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=2863, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2859","layer":4},{"info":"compute unary expreesion, input=2859, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-420273","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-420273, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=107","layer":2},{"info":"number node, value=7998","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=7998, right_input=2150, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-14874","layer":3},{"info":"number node, value=4659","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=4659, right_input=2978, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-100954","layer":3},{"info":"compute binary expreesion, left_input=-14874, right_input=-100954, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=86090","layer":2},{"info":"compute binary expreesion, left_input=107, right_input=86090, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↩⪖(≮⫘↔10001111110⪡≮⫘↔101100101111)⊕∕(⪝⪂⫅≮⫘↔101100101011)∥⊢⊲(≮⫘↔1111100111110⩖⊿≮⫘↔100001100110⨰≮⫘↔1001000110011⊲⩕⊾≮⫘↔101110100010)=NaN","reverse_text":"NaN=↩⪖(≮⫘↔10001111110⪡≮⫘↔101100101111)⊕∕(⪝⪂⫅≮⫘↔101100101011)∥⊢⊲(≮⫘↔1111100111110⩖⊿≮⫘↔100001100110⨰≮⫘↔1001000110011⊲⩕⊾≮⫘↔101110100010)","cot":[{"info":"≮⫘↔10001111110⪡≮⫘↔101100101111=≮⫘↔1101011","layer":3},{"info":"⪝⪂⫅≮⫘↔101100101011=≮⫘↔-1100110100110110001","layer":3},{"info":"≮⫘↔1101011⊕∕≮⫘↔-1100110100110110001=≮⫘↔1101011","layer":2},{"info":"≮⫘↔1111100111110⩖⊿≮⫘↔100001100110=≮⫘↔-11101000011010","layer":3},{"info":"≮⫘↔1001000110011⊲⩕⊾≮⫘↔101110100010=≮⫘↔-11000101001011010","layer":3},{"info":"≮⫘↔-11101000011010⨰≮⫘↔-11000101001011010=≮⫘↔10101000001001010","layer":2},{"info":"≮⫘↔1101011∥⊢⊲≮⫘↔10101000001001010=NaN","layer":1},{"info":"↩⪖NaN=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"((($5641$%$2990$)⪭≯($1597$⨶))↹⊜($2042$⩁⩘$1242$⨓$6772$↬$3346$))≌(⫶⊄≣$1843$⋕⪉⪜$1145$)⨿(($3443$⫍⨯↯)∋($1359$⇷$7037$))","expression":"(((≮⫘↔1011000001001%≮⫘↔101110101110)⪭≯(≮⫘↔11000111101⨶))↹⊜(≮⫘↔11111111010⩁⩘≮⫘↔10011011010⨓≮⫘↔1101001110100↬≮⫘↔110100010010))≌(⫶⊄≣≮⫘↔11100110011⋕⪉⪜≮⫘↔10001111001)⨿((≮⫘↔110101110011⫍⨯↯)∋(≮⫘↔10101001111⇷≮⫘↔1101101111101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":126644,"operation_count":14,"complexity_ratio":9046.0,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5641,"base":2},"right_expr":{"type":"numeric_atoms","value":2990,"base":2}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1597,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2042,"base":2},"right_expr":{"type":"numeric_atoms","value":1242,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6772,"base":2},"right_expr":{"type":"numeric_atoms","value":3346,"base":2}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1843,"base":2},"right_expr":{"type":"numeric_atoms","value":1145,"base":2}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":3443,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1359,"base":2},"right_expr":{"type":"numeric_atoms","value":7037,"base":2}}}}},"used_operators":["lyWz822IDG","9bazX3JMtO","XAx5wpdLa6","k8jYdgA6NY","rFxw8gIMmB","3ViojmjbAp","gub5Cegaqo","B5M0gjZbta","abYXlopdE0","wxb3vTeyAj","z6LnFrNh4i","ukq6epAj5P","ZcwmYACASQ","mp7IySMOzn"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rysDP5nf3Z","f6k1SAg4EE","Qy55tPpLXF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DpFCA1CohY","IWmyXbctLI","rGHVDoGpnC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔1111001110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5641","layer":4},{"info":"number node, value=2990","layer":4},{"info":"compute binary expreesion, left_input=5641, right_input=2990, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2651","layer":3},{"info":"number node, value=1597","layer":4},{"info":"compute unary expreesion, input=1597, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1448","layer":3},{"info":"compute binary expreesion, left_input=2651, right_input=1448, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2042","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1242, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5916","layer":3},{"info":"number node, value=6772","layer":4},{"info":"number node, value=3346","layer":4},{"info":"compute binary expreesion, left_input=6772, right_input=3346, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5916, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=1843","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=1145, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=141368797","layer":2},{"info":"number node, value=3443","layer":4},{"info":"compute unary expreesion, input=3443, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=3410","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=7037","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=7037, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14074","layer":3},{"info":"compute binary expreesion, left_input=3410, right_input=14074, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=29284976","layer":2},{"info":"compute binary expreesion, left_input=141368797, right_input=29284976, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=7792","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1011000001001%≮⫘↔101110101110)⪭≯(≮⫘↔11000111101⨶))↹⊜(≮⫘↔11111111010⩁⩘≮⫘↔10011011010⨓≮⫘↔1101001110100↬≮⫘↔110100010010))≌(⫶⊄≣≮⫘↔11100110011⋕⪉⪜≮⫘↔10001111001)⨿((≮⫘↔110101110011⫍⨯↯)∋(≮⫘↔10101001111⇷≮⫘↔1101101111101))=≮⫘↔1111001110000","reverse_text":"≮⫘↔1111001110000=(((≮⫘↔1011000001001%≮⫘↔101110101110)⪭≯(≮⫘↔11000111101⨶))↹⊜(≮⫘↔11111111010⩁⩘≮⫘↔10011011010⨓≮⫘↔1101001110100↬≮⫘↔110100010010))≌(⫶⊄≣≮⫘↔11100110011⋕⪉⪜≮⫘↔10001111001)⨿((≮⫘↔110101110011⫍⨯↯)∋(≮⫘↔10101001111⇷≮⫘↔1101101111101))","cot":[{"info":"≮⫘↔1011000001001%≮⫘↔101110101110=≮⫘↔101001011011","layer":3},{"info":"≮⫘↔11000111101⨶=≮⫘↔10110101000","layer":3},{"info":"≮⫘↔101001011011⪭≯≮⫘↔10110101000=NaN","layer":2},{"info":"≮⫘↔11111111010⩁⩘≮⫘↔10011011010=≮⫘↔1011100011100","layer":3},{"info":"≮⫘↔1101001110100↬≮⫘↔110100010010=NaN","layer":3},{"info":"≮⫘↔1011100011100⨓NaN=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"≮⫘↔11100110011⋕⪉⪜≮⫘↔10001111001=≮⫘↔101011110010","layer":3},{"info":"⫶⊄≣≮⫘↔101011110010=≮⫘↔1000011011010001110111011101","layer":2},{"info":"≮⫘↔110101110011⫍⨯↯=≮⫘↔110101010010","layer":3},{"info":"≮⫘↔10101001111⇷≮⫘↔1101101111101=≮⫘↔11011011111010","layer":3},{"info":"≮⫘↔110101010010∋≮⫘↔11011011111010=≮⫘↔1101111101101101001110000","layer":2},{"info":"≮⫘↔1000011011010001110111011101⨿≮⫘↔1101111101101101001110000=≮⫘↔-100111111","layer":1},{"info":"NaN≌≮⫘↔-100111111=≮⫘↔1111001110000","layer":0}]}
{"id":779,"expression_no_base_symbol":"(⩩(($6360$≓∲$2886$)∺≝⩲($5611$↯⫤)))≝⊰⇂","expression":"(⩩((≮⫘↔1100011011000≓∲≮⫘↔101101000110)∺≝⩲(≮⫘↔1010111101011↯⫤)))≝⊰⇂","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27683,"operation_count":5,"complexity_ratio":5536.6,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6360,"base":2},"right_expr":{"type":"numeric_atoms","value":2886,"base":2}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":5611,"base":2}}}}},"used_operators":["htSmYCowi5","kMhfGuqI2H","KPf6cnQVty","s1XTVnmDOJ","VwlE7vj6HS"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6360","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=6360, right_input=2886, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=64383","layer":3},{"info":"number node, value=5611","layer":4},{"info":"compute unary expreesion, input=5611, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=64383, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩩((≮⫘↔1100011011000≓∲≮⫘↔101101000110)∺≝⩲(≮⫘↔1010111101011↯⫤)))≝⊰⇂=NaN","reverse_text":"NaN=(⩩((≮⫘↔1100011011000≓∲≮⫘↔101101000110)∺≝⩲(≮⫘↔1010111101011↯⫤)))≝⊰⇂","cot":[{"info":"≮⫘↔1100011011000≓∲≮⫘↔101101000110=≮⫘↔1111101101111111","layer":3},{"info":"≮⫘↔1010111101011↯⫤=≮⫘↔0","layer":3},{"info":"≮⫘↔1111101101111111∺≝⩲≮⫘↔0=≮⫘↔10100000","layer":2},{"info":"⩩≮⫘↔10100000=NaN","layer":1},{"info":"NaN≝⊰⇂=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"((≇⪴$7762$)⨚($8504$⪁$6918$)∼(⫵↿$1859$⪢$2835$))↠","expression":"((≇⪴≮⫘↔1111001010010)⨚(≮⫘↔10000100111000⪁≮⫘↔1101100000110)∼(⫵↿≮⫘↔11101000011⪢≮⫘↔101100010011))↠","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20506,"operation_count":7,"complexity_ratio":2929.4285714285716,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":7762,"base":2}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":8504,"base":2},"right_expr":{"type":"numeric_atoms","value":6918,"base":2}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1859,"base":2},"right_expr":{"type":"numeric_atoms","value":2835,"base":2}}}}},"used_operators":["LBdsKIvxzf","DyGG3AbaNP","nREPSIbpBE","zoVPnxeHJ3","I7sXao9hZE","ivGwdmUAux","dWAJyo7jo9"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","BjRHVeLaeN","12rbrZMWeM","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7762","layer":4},{"info":"compute unary expreesion, input=7762, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-21946","layer":3},{"info":"number node, value=8504","layer":4},{"info":"number node, value=6918","layer":4},{"info":"compute binary expreesion, left_input=8504, right_input=6918, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21946, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"number node, value=1859","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=2835, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=137, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≇⪴≮⫘↔1111001010010)⨚(≮⫘↔10000100111000⪁≮⫘↔1101100000110)∼(⫵↿≮⫘↔11101000011⪢≮⫘↔101100010011))↠=NaN","reverse_text":"NaN=((≇⪴≮⫘↔1111001010010)⨚(≮⫘↔10000100111000⪁≮⫘↔1101100000110)∼(⫵↿≮⫘↔11101000011⪢≮⫘↔101100010011))↠","cot":[{"info":"≇⪴≮⫘↔1111001010010=≮⫘↔-101010110111010","layer":3},{"info":"≮⫘↔10000100111000⪁≮⫘↔1101100000110=NaN","layer":3},{"info":"≮⫘↔-101010110111010⨚NaN=NaN","layer":2},{"info":"≮⫘↔11101000011⪢≮⫘↔101100010011=NaN","layer":3},{"info":"⫵↿NaN=≮⫘↔10001001","layer":2},{"info":"NaN∼≮⫘↔10001001=≮⫘↔0","layer":1},{"info":"≮⫘↔0↠=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"($2158$∽$3181$)∌↝$8977$≌$4231$≎⊠⪸(⫵↿$1015$)⨰($3817$⋓$2170$)⪁($1876$⋩≍≻)⨭⪣($1967$⪷)*(⪸$2105$)∘($4826$⨻⩈⩔$2444$)","expression":"(≮⫘↔100001101110∽≮⫘↔110001101101)∌↝≮⫘↔10001100010001≌≮⫘↔1000010000111≎⊠⪸(⫵↿≮⫘↔1111110111)⨰(≮⫘↔111011101001⋓≮⫘↔100001111010)⪁(≮⫘↔11101010100⋩≍≻)⨭⪣(≮⫘↔11110101111⪷)*(⪸≮⫘↔100000111001)∘(≮⫘↔1001011011010⨻⩈⩔≮⫘↔100110001100)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1501114,"operation_count":15,"complexity_ratio":100074.26666666666,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2158,"base":2},"right_expr":{"type":"numeric_atoms","value":3181,"base":2}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":8977,"base":2},"right_expr":{"type":"numeric_atoms","value":4231,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1015,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3817,"base":2},"right_expr":{"type":"numeric_atoms","value":2170,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1876,"base":2}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1967,"base":2}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2105,"base":2}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4826,"base":2},"right_expr":{"type":"numeric_atoms","value":2444,"base":2}}}}},"used_operators":["I7sXao9hZE","bJkvcejdHO","9Isq31Ruls","y4ImoPnbV5","lyWz822IDG","eewbuw0ToL","ivGwdmUAux","T2fj7uvVaJ","9HNa5Wba9A","kn8WO9XteQ","WYd1w68Nbz","Qctrpi3WzA","Z5m6OM72h2","86A5ENbKR9","nEsXyWgiOK"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Nsiff2A1zJ","eH2TOUuTDT","rysDP5nf3Z","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2158","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=3181, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-20155","layer":3},{"info":"number node, value=8977","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=8977, right_input=4231, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-20155, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-20155","layer":2},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=3817","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=3817, right_input=2170, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=147","layer":2},{"info":"compute binary expreesion, left_input=-20155, right_input=147, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=5220145","layer":1},{"info":"number node, value=1876","layer":4},{"info":"compute unary expreesion, input=1876, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=1967","layer":4},{"info":"compute unary expreesion, input=1967, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":2},{"info":"number node, value=2105","layer":4},{"info":"compute unary expreesion, input=2105, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-35576","layer":3},{"info":"number node, value=4826","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=4826, right_input=2444, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=30207","layer":3},{"info":"compute binary expreesion, left_input=-35576, right_input=30207, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-71152","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-71152, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1494192","layer":1},{"info":"compute binary expreesion, left_input=5220145, right_input=1494192, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100001101110∽≮⫘↔110001101101)∌↝≮⫘↔10001100010001≌≮⫘↔1000010000111≎⊠⪸(⫵↿≮⫘↔1111110111)⨰(≮⫘↔111011101001⋓≮⫘↔100001111010)⪁(≮⫘↔11101010100⋩≍≻)⨭⪣(≮⫘↔11110101111⪷)*(⪸≮⫘↔100000111001)∘(≮⫘↔1001011011010⨻⩈⩔≮⫘↔100110001100)=NaN","reverse_text":"NaN=(≮⫘↔100001101110∽≮⫘↔110001101101)∌↝≮⫘↔10001100010001≌≮⫘↔1000010000111≎⊠⪸(⫵↿≮⫘↔1111110111)⨰(≮⫘↔111011101001⋓≮⫘↔100001111010)⪁(≮⫘↔11101010100⋩≍≻)⨭⪣(≮⫘↔11110101111⪷)*(⪸≮⫘↔100000111001)∘(≮⫘↔1001011011010⨻⩈⩔≮⫘↔100110001100)","cot":[{"info":"≮⫘↔100001101110∽≮⫘↔110001101101=≮⫘↔-100111010111011","layer":3},{"info":"≮⫘↔10001100010001≌≮⫘↔1000010000111=NaN","layer":3},{"info":"≮⫘↔-100111010111011∌↝NaN=≮⫘↔-100111010111011","layer":2},{"info":"⫵↿≮⫘↔1111110111=≮⫘↔10001001","layer":3},{"info":"≮⫘↔111011101001⋓≮⫘↔100001111010=≮⫘↔0","layer":3},{"info":"≮⫘↔10001001⨰≮⫘↔0=≮⫘↔10010011","layer":2},{"info":"≮⫘↔-100111010111011≎⊠⪸≮⫘↔10010011=≮⫘↔10011111010011100110001","layer":1},{"info":"≮⫘↔11101010100⋩≍≻=≮⫘↔-110111","layer":3},{"info":"≮⫘↔11110101111⪷=NaN","layer":3},{"info":"≮⫘↔-110111⨭⪣NaN=≮⫘↔-10101","layer":2},{"info":"⪸≮⫘↔100000111001=≮⫘↔-1000101011111000","layer":3},{"info":"≮⫘↔1001011011010⨻⩈⩔≮⫘↔100110001100=≮⫘↔111010111111111","layer":3},{"info":"≮⫘↔-1000101011111000∘≮⫘↔111010111111111=≮⫘↔-10001010111110000","layer":2},{"info":"≮⫘↔-10101*≮⫘↔-10001010111110000=≮⫘↔101101100110010110000","layer":1},{"info":"≮⫘↔10011111010011100110001⪁≮⫘↔101101100110010110000=NaN","layer":0}]}
{"id":782,"expression_no_base_symbol":"⇤←(⫓⪴($5237$⊜))⪥(($1233$⨎$2833$)⫢⨠$3226$⨼⩣$1578$)","expression":"⇤←(⫓⪴(≮⫘↔1010001110101⊜))⪥((≮⫘↔10011010001⨎≮⫘↔101100010001)⫢⨠≮⫘↔110010011010⨼⩣≮⫘↔11000101010)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19724,"operation_count":7,"complexity_ratio":2817.714285714286,"tree":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":5237,"base":2}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1233,"base":2},"right_expr":{"type":"numeric_atoms","value":2833,"base":2}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3226,"base":2},"right_expr":{"type":"numeric_atoms","value":1578,"base":2}}}}},"used_operators":["jfAgQ2OQeM","QbnwKVWMIQ","eLxqMNBOBk","Eev2Q7dYIw","xlXykHWxX1","rJVOvQCfKK","JxwMv5le6e"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9HNa5Wba9A","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5237","layer":4},{"info":"compute unary expreesion, input=5237, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-19212","layer":3},{"info":"compute unary expreesion, input=-19212, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=369100944","layer":2},{"info":"number node, value=1233","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=2833, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2833","layer":3},{"info":"number node, value=3226","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=3226, right_input=1578, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2833, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=369100944, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=1476408428","layer":1},{"info":"compute unary expreesion, input=1476408428, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇤←(⫓⪴(≮⫘↔1010001110101⊜))⪥((≮⫘↔10011010001⨎≮⫘↔101100010001)⫢⨠≮⫘↔110010011010⨼⩣≮⫘↔11000101010)=NaN","reverse_text":"NaN=⇤←(⫓⪴(≮⫘↔1010001110101⊜))⪥((≮⫘↔10011010001⨎≮⫘↔101100010001)⫢⨠≮⫘↔110010011010⨼⩣≮⫘↔11000101010)","cot":[{"info":"≮⫘↔1010001110101⊜=≮⫘↔-100101100001100","layer":3},{"info":"⫓⪴≮⫘↔-100101100001100=≮⫘↔10110000000000000100010010000","layer":2},{"info":"≮⫘↔10011010001⨎≮⫘↔101100010001=≮⫘↔101100010001","layer":3},{"info":"≮⫘↔110010011010⨼⩣≮⫘↔11000101010=NaN","layer":3},{"info":"≮⫘↔101100010001⫢⨠NaN=NaN","layer":2},{"info":"≮⫘↔10110000000000000100010010000⪥NaN=≮⫘↔1011000000000000011010001101100","layer":1},{"info":"⇤←≮⫘↔1011000000000000011010001101100=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"((($1664$⊍⩺⋍$3036$)⋹)⫌⩉⩟($6560$⨌↪)∼$8125$∇⊂⋱$7816$)≁↽≥(($2036$⨸$4898$%($8712$⩎⪣⊞))∲⫓(⇉-⫰($1873$⫑%∭)))","expression":"(((≮⫘↔11010000000⊍⩺⋍≮⫘↔101111011100)⋹)⫌⩉⩟(≮⫘↔1100110100000⨌↪)∼≮⫘↔1111110111101∇⊂⋱≮⫘↔1111010001000)≁↽≥((≮⫘↔11111110100⨸≮⫘↔1001100100010%(≮⫘↔10001000001000⩎⪣⊞))∲⫓(⇉-⫰(≮⫘↔11101010001⫑%∭)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":125880,"operation_count":13,"complexity_ratio":9683.076923076924,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1664,"base":2},"right_expr":{"type":"numeric_atoms","value":3036,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":6560,"base":2}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":8125,"base":2},"right_expr":{"type":"numeric_atoms","value":7816,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2036,"base":2},"right_expr":{"type":"numeric_atoms","value":4898,"base":2}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":8712,"base":2}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1873,"base":2}}}}},"used_operators":["ncHt1X6cMc","XIIwhv8d0m","opAxDRczMr","OXDGMFPWZM","DyGG3AbaNP","cWQsF5MvuD","nhYeJWJD5X","i8ToyICDmI","k8jYdgA6NY","KmoU8R5UQR","waWucp1uQ4","IGFM8TAlm9","xUx7qlDO4z"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","mp7IySMOzn","eH2TOUuTDT","eewbuw0ToL","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1664","layer":4},{"info":"number node, value=3036","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=3036, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=nan","layer":2},{"info":"number node, value=6560","layer":4},{"info":"compute unary expreesion, input=6560, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=8125","layer":4},{"info":"number node, value=7816","layer":4},{"info":"compute binary expreesion, left_input=8125, right_input=7816, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=15704","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=15704, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=2036","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=4898, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4072","layer":3},{"info":"number node, value=8712","layer":4},{"info":"compute unary expreesion, input=8712, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=17424","layer":3},{"info":"compute binary expreesion, left_input=4072, right_input=17424, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4072","layer":2},{"info":"number node, value=1873","layer":4},{"info":"compute unary expreesion, input=1873, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4072, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11010000000⊍⩺⋍≮⫘↔101111011100)⋹)⫌⩉⩟(≮⫘↔1100110100000⨌↪)∼≮⫘↔1111110111101∇⊂⋱≮⫘↔1111010001000)≁↽≥((≮⫘↔11111110100⨸≮⫘↔1001100100010%(≮⫘↔10001000001000⩎⪣⊞))∲⫓(⇉-⫰(≮⫘↔11101010001⫑%∭)))=NaN","reverse_text":"NaN=(((≮⫘↔11010000000⊍⩺⋍≮⫘↔101111011100)⋹)⫌⩉⩟(≮⫘↔1100110100000⨌↪)∼≮⫘↔1111110111101∇⊂⋱≮⫘↔1111010001000)≁↽≥((≮⫘↔11111110100⨸≮⫘↔1001100100010%(≮⫘↔10001000001000⩎⪣⊞))∲⫓(⇉-⫰(≮⫘↔11101010001⫑%∭)))","cot":[{"info":"≮⫘↔11010000000⊍⩺⋍≮⫘↔101111011100=NaN","layer":3},{"info":"NaN⋹=NaN","layer":2},{"info":"≮⫘↔1100110100000⨌↪=≮⫘↔-111100000","layer":3},{"info":"≮⫘↔1111110111101∇⊂⋱≮⫘↔1111010001000=≮⫘↔11110101011000","layer":3},{"info":"≮⫘↔-111100000∼≮⫘↔11110101011000=NaN","layer":2},{"info":"NaN⫌⩉⩟NaN=≮⫘↔-110010","layer":1},{"info":"≮⫘↔11111110100⨸≮⫘↔1001100100010=≮⫘↔111111101000","layer":3},{"info":"≮⫘↔10001000001000⩎⪣⊞=≮⫘↔100010000010000","layer":3},{"info":"≮⫘↔111111101000%≮⫘↔100010000010000=≮⫘↔111111101000","layer":2},{"info":"≮⫘↔11101010001⫑%∭=NaN","layer":3},{"info":"⇉-⫰NaN=NaN","layer":2},{"info":"≮⫘↔111111101000∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔-110010≁↽≥NaN=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"≯(($3740$⩘)⊨($2149$≓∲$6675$)⊹∫⫚((∐⩳⋚$1568$)∠⫱(⨡↴$4862$)))","expression":"≯((≮⫘↔111010011100⩘)⊨(≮⫘↔100001100101≓∲≮⫘↔1101000010011)⊹∫⫚((∐⩳⋚≮⫘↔11000100000)∠⫱(⨡↴≮⫘↔1001011111110)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":314,"operation_count":8,"complexity_ratio":39.25,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":3740,"base":2}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2149,"base":2},"right_expr":{"type":"numeric_atoms","value":6675,"base":2}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1568,"base":2}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":4862,"base":2}}}}},"used_operators":["keWfFq85dY","uWAJUKEvyW","vg4gO5BX6G","wvHyciQT5X","s1XTVnmDOJ","QvoQhV0rrE","SL6IHkK8vl","liw5iZPkLH"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9ICcGScMcE","dfKe02y8D2","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","P8v4zCKN1o"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3740","layer":4},{"info":"compute unary expreesion, input=3740, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=2149","layer":4},{"info":"number node, value=6675","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=6675, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=22273","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=22273, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=1568","layer":4},{"info":"compute unary expreesion, input=1568, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=218385","layer":3},{"info":"number node, value=4862","layer":4},{"info":"compute unary expreesion, input=4862, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5911","layer":3},{"info":"compute binary expreesion, left_input=218385, right_input=5911, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=1234, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-212","layer":1},{"info":"compute unary expreesion, input=-212, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":2,"result_base":2,"text":"≯((≮⫘↔111010011100⩘)⊨(≮⫘↔100001100101≓∲≮⫘↔1101000010011)⊹∫⫚((∐⩳⋚≮⫘↔11000100000)∠⫱(⨡↴≮⫘↔1001011111110)))=≮⫘↔0","reverse_text":"≮⫘↔0=≯((≮⫘↔111010011100⩘)⊨(≮⫘↔100001100101≓∲≮⫘↔1101000010011)⊹∫⫚((∐⩳⋚≮⫘↔11000100000)∠⫱(⨡↴≮⫘↔1001011111110)))","cot":[{"info":"≮⫘↔111010011100⩘=≮⫘↔1000011","layer":3},{"info":"≮⫘↔100001100101≓∲≮⫘↔1101000010011=≮⫘↔101011100000001","layer":3},{"info":"≮⫘↔1000011⊨≮⫘↔101011100000001=≮⫘↔-10101110","layer":2},{"info":"∐⩳⋚≮⫘↔11000100000=≮⫘↔110101010100010001","layer":3},{"info":"⨡↴≮⫘↔1001011111110=≮⫘↔1011100010111","layer":3},{"info":"≮⫘↔110101010100010001∠⫱≮⫘↔1011100010111=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔-10101110⊹∫⫚≮⫘↔10011010010=≮⫘↔-11010100","layer":1},{"info":"≯≮⫘↔-11010100=≮⫘↔0","layer":0}]}
{"id":785,"expression_no_base_symbol":"(($3353$⪄$2773$)∠⫱$1768$⋾⨃∁$2336$)⫁⪎((≇⪴$1551$)⊹≧⊝)⩹($2618$⨪↰⇹$2592$⇄$2683$⪢$6689$)≦↸(($2988$≎⊠⪸$1350$)⫯⪬∳($2171$⋥≓≎$4678$))","expression":"((≮⫘↔110100011001⪄≮⫘↔101011010101)∠⫱≮⫘↔11011101000⋾⨃∁≮⫘↔100100100000)⫁⪎((≇⪴≮⫘↔11000001111)⊹≧⊝)⩹(≮⫘↔101000111010⨪↰⇹≮⫘↔101000100000⇄≮⫘↔101001111011⪢≮⫘↔1101000100001)≦↸((≮⫘↔101110101100≎⊠⪸≮⫘↔10101000110)⫯⪬∳(≮⫘↔100001111011⋥≓≎≮⫘↔1001001000110))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12138,"operation_count":14,"complexity_ratio":867.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3353,"base":2},"right_expr":{"type":"numeric_atoms","value":2773,"base":2}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1768,"base":2},"right_expr":{"type":"numeric_atoms","value":2336,"base":2}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1551,"base":2}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2618,"base":2},"right_expr":{"type":"numeric_atoms","value":2592,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2683,"base":2},"right_expr":{"type":"numeric_atoms","value":6689,"base":2}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2988,"base":2},"right_expr":{"type":"numeric_atoms","value":1350,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2171,"base":2},"right_expr":{"type":"numeric_atoms","value":4678,"base":2}}}}},"used_operators":["2Wsdkap16l","xRrnTEsQ6j","QvoQhV0rrE","SUmda5xLS4","212REbPD9h","LxFB4K6j0n","zoVPnxeHJ3","RygbFNSyEJ","3EYGwJThht","tmPS8pqC7x","dWAJyo7jo9","d7ASUq0ydm","bJkvcejdHO","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rJVOvQCfKK","k8jYdgA6NY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-11101011100100011100101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3353","layer":4},{"info":"number node, value=2773","layer":4},{"info":"compute binary expreesion, left_input=3353, right_input=2773, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-503425","layer":3},{"info":"number node, value=1768","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=2336, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=54540834","layer":3},{"info":"compute binary expreesion, left_input=-503425, right_input=54540834, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=1551","layer":4},{"info":"compute unary expreesion, input=1551, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-3313","layer":3},{"info":"compute unary expreesion, input=-3313, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=26250","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=26250, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-25016","layer":1},{"info":"number node, value=2618","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=2592, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2618","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=6689","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=6689, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2618, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=2988","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=2988, right_input=1350, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=773419","layer":3},{"info":"number node, value=2171","layer":4},{"info":"number node, value=4678","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=4678, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7218","layer":3},{"info":"compute binary expreesion, left_input=773419, right_input=7218, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3859910","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3859910, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7719139","layer":1},{"info":"compute binary expreesion, left_input=-25016, right_input=-7719139, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-7719141","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110100011001⪄≮⫘↔101011010101)∠⫱≮⫘↔11011101000⋾⨃∁≮⫘↔100100100000)⫁⪎((≇⪴≮⫘↔11000001111)⊹≧⊝)⩹(≮⫘↔101000111010⨪↰⇹≮⫘↔101000100000⇄≮⫘↔101001111011⪢≮⫘↔1101000100001)≦↸((≮⫘↔101110101100≎⊠⪸≮⫘↔10101000110)⫯⪬∳(≮⫘↔100001111011⋥≓≎≮⫘↔1001001000110))=≮⫘↔-11101011100100011100101","reverse_text":"≮⫘↔-11101011100100011100101=((≮⫘↔110100011001⪄≮⫘↔101011010101)∠⫱≮⫘↔11011101000⋾⨃∁≮⫘↔100100100000)⫁⪎((≇⪴≮⫘↔11000001111)⊹≧⊝)⩹(≮⫘↔101000111010⨪↰⇹≮⫘↔101000100000⇄≮⫘↔101001111011⪢≮⫘↔1101000100001)≦↸((≮⫘↔101110101100≎⊠⪸≮⫘↔10101000110)⫯⪬∳(≮⫘↔100001111011⋥≓≎≮⫘↔1001001000110))","cot":[{"info":"≮⫘↔110100011001⪄≮⫘↔101011010101=≮⫘↔-1111010111010000001","layer":3},{"info":"≮⫘↔11011101000⋾⨃∁≮⫘↔100100100000=≮⫘↔11010000000011101000100010","layer":3},{"info":"≮⫘↔-1111010111010000001∠⫱≮⫘↔11010000000011101000100010=≮⫘↔10011010010","layer":2},{"info":"≇⪴≮⫘↔11000001111=≮⫘↔-110011110001","layer":3},{"info":"≮⫘↔-110011110001⊹≧⊝=≮⫘↔110011010001010","layer":2},{"info":"≮⫘↔10011010010⫁⪎≮⫘↔110011010001010=≮⫘↔-110000110111000","layer":1},{"info":"≮⫘↔101000111010⨪↰⇹≮⫘↔101000100000=≮⫘↔101000111010","layer":3},{"info":"≮⫘↔101001111011⪢≮⫘↔1101000100001=NaN","layer":3},{"info":"≮⫘↔101000111010⇄NaN=≮⫘↔0","layer":2},{"info":"≮⫘↔101110101100≎⊠⪸≮⫘↔10101000110=≮⫘↔10111100110100101011","layer":3},{"info":"≮⫘↔100001111011⋥≓≎≮⫘↔1001001000110=≮⫘↔1110000110010","layer":3},{"info":"≮⫘↔10111100110100101011⫯⪬∳≮⫘↔1110000110010=≮⫘↔1110101110010111000110","layer":2},{"info":"≮⫘↔0≦↸≮⫘↔1110101110010111000110=≮⫘↔-11101011100100011100011","layer":1},{"info":"≮⫘↔-110000110111000⩹≮⫘↔-11101011100100011100011=≮⫘↔-11101011100100011100101","layer":0}]}
{"id":786,"expression_no_base_symbol":"(∷≠(∂⩏⊆$1351$≧⫂∧$1271$))⋩≍≻","expression":"(∷≠(∂⩏⊆≮⫘↔10101000111≧⫂∧≮⫘↔10011110111))⋩≍≻","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":44,"operation_count":4,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1351,"base":2},"right_expr":{"type":"numeric_atoms","value":1271,"base":2}}}}},"used_operators":["WYd1w68Nbz","QiR2Oyf5Xj","8WDwsbhb0R","Ph9nP6C5qx"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","7j4O788W3g","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10010010101101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1271, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=798","layer":3},{"info":"compute unary expreesion, input=798, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-2473","layer":2},{"info":"compute unary expreesion, input=-2473, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-2473","layer":1},{"info":"compute unary expreesion, input=-2473, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-9389","layer":0}],"base":2,"result_base":2,"text":"(∷≠(∂⩏⊆≮⫘↔10101000111≧⫂∧≮⫘↔10011110111))⋩≍≻=≮⫘↔-10010010101101","reverse_text":"≮⫘↔-10010010101101=(∷≠(∂⩏⊆≮⫘↔10101000111≧⫂∧≮⫘↔10011110111))⋩≍≻","cot":[{"info":"≮⫘↔10101000111≧⫂∧≮⫘↔10011110111=≮⫘↔1100011110","layer":3},{"info":"∂⩏⊆≮⫘↔1100011110=≮⫘↔-100110101001","layer":2},{"info":"∷≠≮⫘↔-100110101001=≮⫘↔-100110101001","layer":1},{"info":"≮⫘↔-100110101001⋩≍≻=≮⫘↔-10010010101101","layer":0}]}
{"id":787,"expression_no_base_symbol":"(($1319$∼$2108$)∴(⊆⋠$2408$))↤⩊(($4416$⫠)⩵∡(↪⫪⫘$1181$))⨉","expression":"((≮⫘↔10100100111∼≮⫘↔100000111100)∴(⊆⋠≮⫘↔100101101000))↤⩊((≮⫘↔1000101000000⫠)⩵∡(↪⫪⫘≮⫘↔10010011101))⨉","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":62186,"operation_count":8,"complexity_ratio":7773.25,"tree":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1319,"base":2},"right_expr":{"type":"numeric_atoms","value":2108,"base":2}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2408,"base":2}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":4416,"base":2}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1181,"base":2}}}}},"used_operators":["aMUSaJuDRU","13rbtpv6ld","hrf7POJlIJ","DyGG3AbaNP","EBhcHTkKd8","Y7wcNGrDQJ","6SnOT2rOjz","9dWsAM3GFt"],"dependent_operators":["tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","NTOWxs364D","glklzrTFfD","tifHPKVTfV","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=2108, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2408","layer":4},{"info":"compute unary expreesion, input=2408, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"number node, value=4416","layer":4},{"info":"compute unary expreesion, input=4416, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-101","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-101, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100100111∼≮⫘↔100000111100)∴(⊆⋠≮⫘↔100101101000))↤⩊((≮⫘↔1000101000000⫠)⩵∡(↪⫪⫘≮⫘↔10010011101))⨉=NaN","reverse_text":"NaN=((≮⫘↔10100100111∼≮⫘↔100000111100)∴(⊆⋠≮⫘↔100101101000))↤⩊((≮⫘↔1000101000000⫠)⩵∡(↪⫪⫘≮⫘↔10010011101))⨉","cot":[{"info":"≮⫘↔10100100111∼≮⫘↔100000111100=NaN","layer":3},{"info":"⊆⋠≮⫘↔100101101000=≮⫘↔0","layer":3},{"info":"NaN∴≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1000101000000⫠=≮⫘↔0","layer":3},{"info":"↪⫪⫘≮⫘↔10010011101=≮⫘↔10100","layer":3},{"info":"≮⫘↔0⩵∡≮⫘↔10100=≮⫘↔-1100101","layer":2},{"info":"NaN↤⩊≮⫘↔-1100101=NaN","layer":1},{"info":"NaN⨉=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"(⨝⨆(∑⇻≧$2941$)≌($1111$⩘$2093$))⊭↱($2071$⨽∌$2397$)⨂≜($2456$≹⇙⪍$3876$)⫥∨⫟($2934$⩤)⨪↰⇹$3004$∓⋝$1646$","expression":"(⨝⨆(∑⇻≧≮⫘↔101101111101)≌(≮⫘↔10001010111⩘≮⫘↔100000101101))⊭↱(≮⫘↔100000010111⨽∌≮⫘↔100101011101)⨂≜(≮⫘↔100110011000≹⇙⪍≮⫘↔111100100100)⫥∨⫟(≮⫘↔101101110110⩤)⨪↰⇹≮⫘↔101110111100∓⋝≮⫘↔11001101110","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":30174,"operation_count":12,"complexity_ratio":2514.5,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2941,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1111,"base":2},"right_expr":{"type":"numeric_atoms","value":2093,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2071,"base":2},"right_expr":{"type":"numeric_atoms","value":2397,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2456,"base":2},"right_expr":{"type":"numeric_atoms","value":3876,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2934,"base":2}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3004,"base":2},"right_expr":{"type":"numeric_atoms","value":1646,"base":2}}}}},"used_operators":["COABgblf1C","bQ67fsrMVf","lyWz822IDG","l1M9WJ3V7u","cHh1gJQ2o6","KYD54nUTWz","k1SHOSEABc","9samAPKr6k","AHs5Up7iyr","tmPS8pqC7x","Z2TMIBDE3Q","PoHhknlbAi"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","dWAJyo7jo9","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2941","layer":4},{"info":"compute unary expreesion, input=2941, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=2093, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=160, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9732","layer":2},{"info":"compute unary expreesion, input=9732, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=9523","layer":1},{"info":"number node, value=2071","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=2071, right_input=2397, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2456","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=3876, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2934","layer":4},{"info":"compute unary expreesion, input=2934, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2934","layer":3},{"info":"number node, value=3004","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=3004, right_input=1646, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-2934, right_input=67, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-2934","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2934, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9523, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨝⨆(∑⇻≧≮⫘↔101101111101)≌(≮⫘↔10001010111⩘≮⫘↔100000101101))⊭↱(≮⫘↔100000010111⨽∌≮⫘↔100101011101)⨂≜(≮⫘↔100110011000≹⇙⪍≮⫘↔111100100100)⫥∨⫟(≮⫘↔101101110110⩤)⨪↰⇹≮⫘↔101110111100∓⋝≮⫘↔11001101110=NaN","reverse_text":"NaN=(⨝⨆(∑⇻≧≮⫘↔101101111101)≌(≮⫘↔10001010111⩘≮⫘↔100000101101))⊭↱(≮⫘↔100000010111⨽∌≮⫘↔100101011101)⨂≜(≮⫘↔100110011000≹⇙⪍≮⫘↔111100100100)⫥∨⫟(≮⫘↔101101110110⩤)⨪↰⇹≮⫘↔101110111100∓⋝≮⫘↔11001101110","cot":[{"info":"∑⇻≧≮⫘↔101101111101=≮⫘↔-1101010100","layer":3},{"info":"≮⫘↔10001010111⩘≮⫘↔100000101101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1101010100≌≮⫘↔10100000=≮⫘↔10011000000100","layer":2},{"info":"⨝⨆≮⫘↔10011000000100=≮⫘↔10010100110011","layer":1},{"info":"≮⫘↔100000010111⨽∌≮⫘↔100101011101=≮⫘↔0","layer":3},{"info":"≮⫘↔100110011000≹⇙⪍≮⫘↔111100100100=NaN","layer":3},{"info":"≮⫘↔0⨂≜NaN=NaN","layer":2},{"info":"≮⫘↔101101110110⩤=≮⫘↔-101101110110","layer":3},{"info":"≮⫘↔101110111100∓⋝≮⫘↔11001101110=≮⫘↔1000011","layer":3},{"info":"≮⫘↔-101101110110⨪↰⇹≮⫘↔1000011=≮⫘↔-101101110110","layer":2},{"info":"NaN⫥∨⫟≮⫘↔-101101110110=NaN","layer":1},{"info":"≮⫘↔10010100110011⊭↱NaN=NaN","layer":0}]}
{"id":789,"expression_no_base_symbol":"(⩦⊞($3510$≀⫉$3402$)↓($1755$≳⇉$1067$))⇷($3078$⨻⩈⩔$1567$)∘($4154$⨔≚≋$4366$)⨫⇇↔(($1991$⪑⩈)⪉⨛$7637$⩧⪆$2882$)","expression":"(⩦⊞(≮⫘↔110110110110≀⫉≮⫘↔110101001010)↓(≮⫘↔11011011011≳⇉≮⫘↔10000101011))⇷(≮⫘↔110000000110⨻⩈⩔≮⫘↔11000011111)∘(≮⫘↔1000000111010⨔≚≋≮⫘↔1000100001110)⨫⇇↔((≮⫘↔11111000111⪑⩈)⪉⨛≮⫘↔1110111010101⩧⪆≮⫘↔101101000010)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11597881,"operation_count":12,"complexity_ratio":966490.0833333334,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3510,"base":2},"right_expr":{"type":"numeric_atoms","value":3402,"base":2}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1755,"base":2},"right_expr":{"type":"numeric_atoms","value":1067,"base":2}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3078,"base":2},"right_expr":{"type":"numeric_atoms","value":1567,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4154,"base":2},"right_expr":{"type":"numeric_atoms","value":4366,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1991,"base":2}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":7637,"base":2},"right_expr":{"type":"numeric_atoms","value":2882,"base":2}}}}},"used_operators":["mp7IySMOzn","u7fv1HBiaC","Af076pWI7l","oZj3VtZNQx","V0kx6qeWkN","LXhwmt4mBO","Z5m6OM72h2","nEsXyWgiOK","Z57zeUYC9z","EWw2JM7wp4","C6VvDP6HwP","Ikt5ks8PT7"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3510","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=3402, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1755","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=1067, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-324","layer":1},{"info":"number node, value=3078","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=1567, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=16223","layer":3},{"info":"number node, value=4154","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=4154, right_input=4366, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=16223, right_input=9872, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=32446","layer":2},{"info":"number node, value=1991","layer":4},{"info":"compute unary expreesion, input=1991, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=15527","layer":3},{"info":"number node, value=7637","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=7637, right_input=2882, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2882","layer":3},{"info":"compute binary expreesion, left_input=15527, right_input=-2882, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=49678","layer":2},{"info":"compute binary expreesion, left_input=32446, right_input=49678, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-324, right_input=-527, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩦⊞(≮⫘↔110110110110≀⫉≮⫘↔110101001010)↓(≮⫘↔11011011011≳⇉≮⫘↔10000101011))⇷(≮⫘↔110000000110⨻⩈⩔≮⫘↔11000011111)∘(≮⫘↔1000000111010⨔≚≋≮⫘↔1000100001110)⨫⇇↔((≮⫘↔11111000111⪑⩈)⪉⨛≮⫘↔1110111010101⩧⪆≮⫘↔101101000010)=NaN","reverse_text":"NaN=(⩦⊞(≮⫘↔110110110110≀⫉≮⫘↔110101001010)↓(≮⫘↔11011011011≳⇉≮⫘↔10000101011))⇷(≮⫘↔110000000110⨻⩈⩔≮⫘↔11000011111)∘(≮⫘↔1000000111010⨔≚≋≮⫘↔1000100001110)⨫⇇↔((≮⫘↔11111000111⪑⩈)⪉⨛≮⫘↔1110111010101⩧⪆≮⫘↔101101000010)","cot":[{"info":"≮⫘↔110110110110≀⫉≮⫘↔110101001010=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔11011011011≳⇉≮⫘↔10000101011=NaN","layer":3},{"info":"≮⫘↔101100000110↓NaN=≮⫘↔-10000110","layer":2},{"info":"⩦⊞≮⫘↔-10000110=≮⫘↔-101000100","layer":1},{"info":"≮⫘↔110000000110⨻⩈⩔≮⫘↔11000011111=≮⫘↔11111101011111","layer":3},{"info":"≮⫘↔1000000111010⨔≚≋≮⫘↔1000100001110=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔11111101011111∘≮⫘↔10011010010000=≮⫘↔111111010111110","layer":2},{"info":"≮⫘↔11111000111⪑⩈=≮⫘↔11110010100111","layer":3},{"info":"≮⫘↔1110111010101⩧⪆≮⫘↔101101000010=≮⫘↔-101101000010","layer":3},{"info":"≮⫘↔11110010100111⪉⨛≮⫘↔-101101000010=≮⫘↔1100001000001110","layer":2},{"info":"≮⫘↔111111010111110⨫⇇↔≮⫘↔1100001000001110=≮⫘↔-1000001111","layer":1},{"info":"≮⫘↔-101000100⇷≮⫘↔-1000001111=NaN","layer":0}]}
{"id":790,"expression_no_base_symbol":"(($1867$∙∹∝$4138$)⇂≾⫗($2439$⊝⪿⪼$6078$))≎⪠(($1216$∑⇟⊟$2584$)⊬⨰($4426$⪢$5079$))⫌⩉⩟(↨($6225$⪪$1031$)⨂≜(⨣⨃⇪$3298$))","expression":"((≮⫘↔11101001011∙∹∝≮⫘↔1000000101010)⇂≾⫗(≮⫘↔100110000111⊝⪿⪼≮⫘↔1011110111110))≎⪠((≮⫘↔10011000000∑⇟⊟≮⫘↔101000011000)⊬⨰(≮⫘↔1000101001010⪢≮⫘↔1001111010111))⫌⩉⩟(↨(≮⫘↔1100001010001⪪≮⫘↔10000000111)⨂≜(⨣⨃⇪≮⫘↔110011100010))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":979839,"operation_count":12,"complexity_ratio":81653.25,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1867,"base":2},"right_expr":{"type":"numeric_atoms","value":4138,"base":2}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2439,"base":2},"right_expr":{"type":"numeric_atoms","value":6078,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1216,"base":2},"right_expr":{"type":"numeric_atoms","value":2584,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4426,"base":2},"right_expr":{"type":"numeric_atoms","value":5079,"base":2}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6225,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3298,"base":2}}}}},"used_operators":["XIIwhv8d0m","aNhz54LH3e","aBQ6xLxuTc","HmxsFra2vL","3Oe9XWJUTD","s3Fd5m9Dh2","U7g4x0WXJJ","dWAJyo7jo9","jiX4gk2v2Q","k1SHOSEABc","xD69zh8xqp","AcOhelriW5"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","rGHVDoGpnC","oZj3VtZNQx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","FU0Cs4j7VP","JclMnS0uGI","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"≮⫘↔-110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1867","layer":4},{"info":"number node, value=4138","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=4138, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2439","layer":4},{"info":"number node, value=6078","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=6078, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=46517","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=46517, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=1216","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=2584, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4426","layer":4},{"info":"number node, value=5079","layer":4},{"info":"compute binary expreesion, left_input=4426, right_input=5079, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=6225","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=6225, right_input=1031, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-936064","layer":3},{"info":"number node, value=3298","layer":4},{"info":"compute unary expreesion, input=3298, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=-936064, right_input=1405, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11101001011∙∹∝≮⫘↔1000000101010)⇂≾⫗(≮⫘↔100110000111⊝⪿⪼≮⫘↔1011110111110))≎⪠((≮⫘↔10011000000∑⇟⊟≮⫘↔101000011000)⊬⨰(≮⫘↔1000101001010⪢≮⫘↔1001111010111))⫌⩉⩟(↨(≮⫘↔1100001010001⪪≮⫘↔10000000111)⨂≜(⨣⨃⇪≮⫘↔110011100010))=≮⫘↔-110010","reverse_text":"≮⫘↔-110010=((≮⫘↔11101001011∙∹∝≮⫘↔1000000101010)⇂≾⫗(≮⫘↔100110000111⊝⪿⪼≮⫘↔1011110111110))≎⪠((≮⫘↔10011000000∑⇟⊟≮⫘↔101000011000)⊬⨰(≮⫘↔1000101001010⪢≮⫘↔1001111010111))⫌⩉⩟(↨(≮⫘↔1100001010001⪪≮⫘↔10000000111)⨂≜(⨣⨃⇪≮⫘↔110011100010))","cot":[{"info":"≮⫘↔11101001011∙∹∝≮⫘↔1000000101010=≮⫘↔0","layer":3},{"info":"≮⫘↔100110000111⊝⪿⪼≮⫘↔1011110111110=≮⫘↔1011010110110101","layer":3},{"info":"≮⫘↔0⇂≾⫗≮⫘↔1011010110110101=≮⫘↔-1010100100","layer":2},{"info":"≮⫘↔10011000000∑⇟⊟≮⫘↔101000011000=NaN","layer":3},{"info":"≮⫘↔1000101001010⪢≮⫘↔1001111010111=NaN","layer":3},{"info":"NaN⊬⨰NaN=NaN","layer":2},{"info":"≮⫘↔-1010100100≎⪠NaN=≮⫘↔100110001100110","layer":1},{"info":"≮⫘↔1100001010001⪪≮⫘↔10000000111=≮⫘↔-11100100100010000000","layer":3},{"info":"⨣⨃⇪≮⫘↔110011100010=≮⫘↔10101111101","layer":3},{"info":"≮⫘↔-11100100100010000000⨂≜≮⫘↔10101111101=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"≮⫘↔100110001100110⫌⩉⩟NaN=≮⫘↔-110010","layer":0}]}
{"id":791,"expression_no_base_symbol":"($6174$↳≱$3975$⩘$3787$↳≱$4465$⊭↱($2503$∙⊟$2880$)⨎($1912$⫚↹⊑$2012$))∴(($1567$≦↸$2463$)⨿($2130$≀⫉$1313$)⇔⨋)","expression":"(≮⫘↔1100000011110↳≱≮⫘↔111110000111⩘≮⫘↔111011001011↳≱≮⫘↔1000101110001⊭↱(≮⫘↔100111000111∙⊟≮⫘↔101101000000)⨎(≮⫘↔11101111000⫚↹⊑≮⫘↔11111011100))∴((≮⫘↔11000011111≦↸≮⫘↔100110011111)⨿(≮⫘↔100001010010≀⫉≮⫘↔10100100001)⇔⨋)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25595,"operation_count":12,"complexity_ratio":2132.9166666666665,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6174,"base":2},"right_expr":{"type":"numeric_atoms","value":3975,"base":2}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3787,"base":2},"right_expr":{"type":"numeric_atoms","value":4465,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2503,"base":2},"right_expr":{"type":"numeric_atoms","value":2880,"base":2}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1912,"base":2},"right_expr":{"type":"numeric_atoms","value":2012,"base":2}}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1567,"base":2},"right_expr":{"type":"numeric_atoms","value":2463,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2130,"base":2},"right_expr":{"type":"numeric_atoms","value":1313,"base":2}}}}},"used_operators":["hrf7POJlIJ","COABgblf1C","cHh1gJQ2o6","JwTKLfZU96","rJVOvQCfKK","SxTAKzQCrw","dfKe02y8D2","uBihLCJcMX","abYXlopdE0","RygbFNSyEJ","oZj3VtZNQx"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"≮⫘↔-1100000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6174","layer":4},{"info":"number node, value=3975","layer":4},{"info":"compute binary expreesion, left_input=6174, right_input=3975, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3787","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=4465, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=2503","layer":4},{"info":"number node, value=2880","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=2880, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=42385","layer":3},{"info":"number node, value=1912","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=2012, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=42385, right_input=-447, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1209","layer":1},{"info":"number node, value=1567","layer":4},{"info":"number node, value=2463","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=2463, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7379","layer":3},{"info":"number node, value=2130","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=1313, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-7379, right_input=2822, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=622","layer":1},{"info":"compute binary expreesion, left_input=-1209, right_input=622, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-770","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100000011110↳≱≮⫘↔111110000111⩘≮⫘↔111011001011↳≱≮⫘↔1000101110001⊭↱(≮⫘↔100111000111∙⊟≮⫘↔101101000000)⨎(≮⫘↔11101111000⫚↹⊑≮⫘↔11111011100))∴((≮⫘↔11000011111≦↸≮⫘↔100110011111)⨿(≮⫘↔100001010010≀⫉≮⫘↔10100100001)⇔⨋)=≮⫘↔-1100000010","reverse_text":"≮⫘↔-1100000010=(≮⫘↔1100000011110↳≱≮⫘↔111110000111⩘≮⫘↔111011001011↳≱≮⫘↔1000101110001⊭↱(≮⫘↔100111000111∙⊟≮⫘↔101101000000)⨎(≮⫘↔11101111000⫚↹⊑≮⫘↔11111011100))∴((≮⫘↔11000011111≦↸≮⫘↔100110011111)⨿(≮⫘↔100001010010≀⫉≮⫘↔10100100001)⇔⨋)","cot":[{"info":"≮⫘↔1100000011110↳≱≮⫘↔111110000111=≮⫘↔0","layer":3},{"info":"≮⫘↔111011001011↳≱≮⫘↔1000101110001=≮⫘↔0","layer":3},{"info":"≮⫘↔0⩘≮⫘↔0=≮⫘↔10100000","layer":2},{"info":"≮⫘↔100111000111∙⊟≮⫘↔101101000000=≮⫘↔1010010110010001","layer":3},{"info":"≮⫘↔11101111000⫚↹⊑≮⫘↔11111011100=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔1010010110010001⨎≮⫘↔-110111111=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔10100000⊭↱≮⫘↔-110111111=≮⫘↔-10010111001","layer":1},{"info":"≮⫘↔11000011111≦↸≮⫘↔100110011111=≮⫘↔-1110011010011","layer":3},{"info":"≮⫘↔100001010010≀⫉≮⫘↔10100100001=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔-1110011010011⨿≮⫘↔101100000110=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1000011⇔⨋=≮⫘↔1001101110","layer":1},{"info":"≮⫘↔-10010111001∴≮⫘↔1001101110=≮⫘↔-1100000010","layer":0}]}
{"id":792,"expression_no_base_symbol":"(↓⇌($1319$∣$6837$⪢$2944$⩌⋺$1688$))⫸⇳(($5390$↼⊘⨖$3575$*($1799$⊴⇁⪶))⨘⋶⪀)","expression":"(↓⇌(≮⫘↔10100100111∣≮⫘↔1101010110101⪢≮⫘↔101110000000⩌⋺≮⫘↔11010011000))⫸⇳((≮⫘↔1010100001110↼⊘⨖≮⫘↔110111110111*(≮⫘↔11100000111⊴⇁⪶))⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13740,"operation_count":9,"complexity_ratio":1526.6666666666667,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1319,"base":2},"right_expr":{"type":"numeric_atoms","value":6837,"base":2}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2944,"base":2},"right_expr":{"type":"numeric_atoms","value":1688,"base":2}}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5390,"base":2},"right_expr":{"type":"numeric_atoms","value":3575,"base":2}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1799,"base":2}}}}},"used_operators":["gx7XJ7hdpj","PxpmPgHHJV","dWAJyo7jo9","PPChnnnBFF","g7Hmc5v1ko","XVKwrhznBb","9HNa5Wba9A","bPywburJMS","oo9mF6JIpo"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","k8jYdgA6NY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","W4YGzv6Whe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"number node, value=6837","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=6837, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1319","layer":3},{"info":"number node, value=2944","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=1688, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4753","layer":3},{"info":"compute binary expreesion, left_input=1319, right_input=-4753, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":1},{"info":"number node, value=5390","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=5390, right_input=3575, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6928","layer":3},{"info":"number node, value=1799","layer":4},{"info":"compute unary expreesion, input=1799, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=31900","layer":3},{"info":"compute binary expreesion, left_input=6928, right_input=31900, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=221003200","layer":2},{"info":"compute unary expreesion, input=221003200, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↓⇌(≮⫘↔10100100111∣≮⫘↔1101010110101⪢≮⫘↔101110000000⩌⋺≮⫘↔11010011000))⫸⇳((≮⫘↔1010100001110↼⊘⨖≮⫘↔110111110111*(≮⫘↔11100000111⊴⇁⪶))⨘⋶⪀)=NaN","reverse_text":"NaN=(↓⇌(≮⫘↔10100100111∣≮⫘↔1101010110101⪢≮⫘↔101110000000⩌⋺≮⫘↔11010011000))⫸⇳((≮⫘↔1010100001110↼⊘⨖≮⫘↔110111110111*(≮⫘↔11100000111⊴⇁⪶))⨘⋶⪀)","cot":[{"info":"≮⫘↔10100100111∣≮⫘↔1101010110101=≮⫘↔10100100111","layer":3},{"info":"≮⫘↔101110000000⩌⋺≮⫘↔11010011000=≮⫘↔-1001010010001","layer":3},{"info":"≮⫘↔10100100111⪢≮⫘↔-1001010010001=NaN","layer":2},{"info":"↓⇌NaN=NaN","layer":1},{"info":"≮⫘↔1010100001110↼⊘⨖≮⫘↔110111110111=≮⫘↔1101100010000","layer":3},{"info":"≮⫘↔11100000111⊴⇁⪶=≮⫘↔111110010011100","layer":3},{"info":"≮⫘↔1101100010000*≮⫘↔111110010011100=≮⫘↔1101001011000011110111000000","layer":2},{"info":"≮⫘↔1101001011000011110111000000⨘⋶⪀=NaN","layer":1},{"info":"NaN⫸⇳NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"(⇖⫷⫕(↔$2022$)∛$1239$⇻⋧≁$6483$)∛((($1534$∙⊟$4363$)∋(⋣$1098$))⪚⩙≫)","expression":"(⇖⫷⫕(↔≮⫘↔11111100110)∛≮⫘↔10011010111⇻⋧≁≮⫘↔1100101010011)∛(((≮⫘↔10111111110∙⊟≮⫘↔1000100001011)∋(⋣≮⫘↔10001001010))⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3977,"operation_count":9,"complexity_ratio":441.8888888888889,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2022,"base":2}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1239,"base":2},"right_expr":{"type":"numeric_atoms","value":6483,"base":2}}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1534,"base":2},"right_expr":{"type":"numeric_atoms","value":4363,"base":2}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1098,"base":2}}}}},"used_operators":["w2537kitQq","UHmRx3INFg","ruOEQAzv1W","jCPkEVoL5K","4n53wtyJvv","ukq6epAj5P","SxTAKzQCrw","zQWRhDnn8F"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2022","layer":4},{"info":"compute unary expreesion, input=2022, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1749","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=6483","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=6483, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-1749, right_input=-447, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=1534","layer":4},{"info":"number node, value=4363","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=4363, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=29788","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-322717","layer":3},{"info":"compute binary expreesion, left_input=29788, right_input=-322717, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-173776","layer":2},{"info":"compute unary expreesion, input=-173776, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(⇖⫷⫕(↔≮⫘↔11111100110)∛≮⫘↔10011010111⇻⋧≁≮⫘↔1100101010011)∛(((≮⫘↔10111111110∙⊟≮⫘↔1000100001011)∋(⋣≮⫘↔10001001010))⪚⩙≫)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(⇖⫷⫕(↔≮⫘↔11111100110)∛≮⫘↔10011010111⇻⋧≁≮⫘↔1100101010011)∛(((≮⫘↔10111111110∙⊟≮⫘↔1000100001011)∋(⋣≮⫘↔10001001010))⪚⩙≫)","cot":[{"info":"↔≮⫘↔11111100110=≮⫘↔-11011010101","layer":3},{"info":"≮⫘↔10011010111⇻⋧≁≮⫘↔1100101010011=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-11011010101∛≮⫘↔-110111111=≮⫘↔1000011","layer":2},{"info":"⇖⫷⫕≮⫘↔1000011=≮⫘↔101100000110","layer":1},{"info":"≮⫘↔10111111110∙⊟≮⫘↔1000100001011=≮⫘↔111010001011100","layer":3},{"info":"⋣≮⫘↔10001001010=≮⫘↔-1001110110010011101","layer":3},{"info":"≮⫘↔111010001011100∋≮⫘↔-1001110110010011101=≮⫘↔-101010011011010000","layer":2},{"info":"≮⫘↔-101010011011010000⪚⩙≫=NaN","layer":1},{"info":"≮⫘↔101100000110∛NaN=≮⫘↔1000011","layer":0}]}
{"id":794,"expression_no_base_symbol":"((($3387$⫘$3921$)⫑%∭)∖($5789$∓⋝$2468$∀⋜↑))⊹≧⊝","expression":"(((≮⫘↔110100111011⫘≮⫘↔111101010001)⫑%∭)∖(≮⫘↔1011010011101∓⋝≮⫘↔100110100100∀⋜↑))⊹≧⊝","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4809,"operation_count":6,"complexity_ratio":801.5,"tree":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3387,"base":2},"right_expr":{"type":"numeric_atoms","value":3921,"base":2}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5789,"base":2},"right_expr":{"type":"numeric_atoms","value":2468,"base":2}}}}},"used_operators":["LxFB4K6j0n","tXD093vOjl","xUx7qlDO4z","48vC8HMD2b","KipPnG1M2J","PoHhknlbAi"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3387","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=3921, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3987517","layer":3},{"info":"compute unary expreesion, input=3987517, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"number node, value=5789","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=5789, right_input=2468, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-283","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-283, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔110100111011⫘≮⫘↔111101010001)⫑%∭)∖(≮⫘↔1011010011101∓⋝≮⫘↔100110100100∀⋜↑))⊹≧⊝=≮⫘↔0","reverse_text":"≮⫘↔0=(((≮⫘↔110100111011⫘≮⫘↔111101010001)⫑%∭)∖(≮⫘↔1011010011101∓⋝≮⫘↔100110100100∀⋜↑))⊹≧⊝","cot":[{"info":"≮⫘↔110100111011⫘≮⫘↔111101010001=≮⫘↔1111001101100000111101","layer":3},{"info":"≮⫘↔1111001101100000111101⫑%∭=NaN","layer":2},{"info":"≮⫘↔1011010011101∓⋝≮⫘↔100110100100=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1000011∀⋜↑=≮⫘↔-100011011","layer":2},{"info":"NaN∖≮⫘↔-100011011=≮⫘↔0","layer":1},{"info":"≮⫘↔0⊹≧⊝=≮⫘↔0","layer":0}]}
{"id":795,"expression_no_base_symbol":"($1526$⪛⫼$1778$↙$3084$⇣⩺⋵$2994$)+⪬∐(($2019$∪⫐$4035$)⩅⪻⪻)⩌⋺(⋗⩬⋾($4313$↑)⇴∐(⨡↴$1012$))","expression":"(≮⫘↔10111110110⪛⫼≮⫘↔11011110010↙≮⫘↔110000001100⇣⩺⋵≮⫘↔101110110010)+⪬∐((≮⫘↔11111100011∪⫐≮⫘↔111111000011)⩅⪻⪻)⩌⋺(⋗⩬⋾(≮⫘↔1000011011001↑)⇴∐(⨡↴≮⫘↔1111110100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":615,"operation_count":11,"complexity_ratio":55.90909090909091,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1526,"base":2},"right_expr":{"type":"numeric_atoms","value":1778,"base":2}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3084,"base":2},"right_expr":{"type":"numeric_atoms","value":2994,"base":2}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2019,"base":2},"right_expr":{"type":"numeric_atoms","value":4035,"base":2}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4313,"base":2}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1012,"base":2}}}}},"used_operators":["g7Hmc5v1ko","2GS7woTJqF","yyfyN0ffXY","hyuBjUqXlG","F4yD0voBRQ","kHoXpA7yos","7YooWSwCyH","DpFCA1CohY","HnzytWxmAO","BThhyOhh10","liw5iZPkLH"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","DpFCA1CohY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","W4YGzv6Whe","P8v4zCKN1o"],"result":"≮⫘↔11101111001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=1778, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=3084","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=2994, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-260, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=780","layer":2},{"info":"number node, value=2019","layer":4},{"info":"number node, value=4035","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=4035, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2019","layer":3},{"info":"compute unary expreesion, input=2019, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-298237","layer":2},{"info":"compute binary expreesion, left_input=780, right_input=-298237, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-2340","layer":1},{"info":"number node, value=4313","layer":4},{"info":"compute unary expreesion, input=4313, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2061","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=2061, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-102","layer":2},{"info":"compute unary expreesion, input=-102, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=306","layer":1},{"info":"compute binary expreesion, left_input=-2340, right_input=306, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=1913","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10111110110⪛⫼≮⫘↔11011110010↙≮⫘↔110000001100⇣⩺⋵≮⫘↔101110110010)+⪬∐((≮⫘↔11111100011∪⫐≮⫘↔111111000011)⩅⪻⪻)⩌⋺(⋗⩬⋾(≮⫘↔1000011011001↑)⇴∐(⨡↴≮⫘↔1111110100))=≮⫘↔11101111001","reverse_text":"≮⫘↔11101111001=(≮⫘↔10111110110⪛⫼≮⫘↔11011110010↙≮⫘↔110000001100⇣⩺⋵≮⫘↔101110110010)+⪬∐((≮⫘↔11111100011∪⫐≮⫘↔111111000011)⩅⪻⪻)⩌⋺(⋗⩬⋾(≮⫘↔1000011011001↑)⇴∐(⨡↴≮⫘↔1111110100))","cot":[{"info":"≮⫘↔10111110110⪛⫼≮⫘↔11011110010=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔110000001100⇣⩺⋵≮⫘↔101110110010=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔1111001000↙≮⫘↔-100000100=≮⫘↔1100001100","layer":2},{"info":"≮⫘↔11111100011∪⫐≮⫘↔111111000011=≮⫘↔11111100011","layer":3},{"info":"≮⫘↔11111100011⩅⪻⪻=≮⫘↔-1001000110011111101","layer":2},{"info":"≮⫘↔1100001100+⪬∐≮⫘↔-1001000110011111101=≮⫘↔-100100100100","layer":1},{"info":"≮⫘↔1000011011001↑=≮⫘↔11011110","layer":3},{"info":"⨡↴≮⫘↔1111110100=≮⫘↔100000001101","layer":3},{"info":"≮⫘↔11011110⇴∐≮⫘↔100000001101=≮⫘↔-1100110","layer":2},{"info":"⋗⩬⋾≮⫘↔-1100110=≮⫘↔100110010","layer":1},{"info":"≮⫘↔-100100100100⩌⋺≮⫘↔100110010=≮⫘↔11101111001","layer":0}]}
{"id":796,"expression_no_base_symbol":"↑($1012$≒∊$1154$∑⇟⊟($2908$⪡$1434$)⪇≇⋚((≱⇩⩕$4468$)⋅⇍$1027$⪪$1454$))","expression":"↑(≮⫘↔1111110100≒∊≮⫘↔10010000010∑⇟⊟(≮⫘↔101101011100⪡≮⫘↔10110011010)⪇≇⋚((≱⇩⩕≮⫘↔1000101110100)⋅⇍≮⫘↔10000000011⪪≮⫘↔10110101110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14976,"operation_count":8,"complexity_ratio":1872.0,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":1154,"base":2}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2908,"base":2},"right_expr":{"type":"numeric_atoms","value":1434,"base":2}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":4468,"base":2}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1027,"base":2},"right_expr":{"type":"numeric_atoms","value":1454,"base":2}}}}},"used_operators":["tR7O2zTn5j","3sJ7IOPOlU","U7g4x0WXJJ","5KTvxBwnZo","oraRL2iQuh","AdZkA7nFnk","3DZMoQKiUl","xD69zh8xqp"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1154, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-528","layer":3},{"info":"number node, value=2908","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=1434, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-528, right_input=107, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4468","layer":4},{"info":"compute unary expreesion, input=4468, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1454, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-151166","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-151166, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-686","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-686, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↑(≮⫘↔1111110100≒∊≮⫘↔10010000010∑⇟⊟(≮⫘↔101101011100⪡≮⫘↔10110011010)⪇≇⋚((≱⇩⩕≮⫘↔1000101110100)⋅⇍≮⫘↔10000000011⪪≮⫘↔10110101110))=NaN","reverse_text":"NaN=↑(≮⫘↔1111110100≒∊≮⫘↔10010000010∑⇟⊟(≮⫘↔101101011100⪡≮⫘↔10110011010)⪇≇⋚((≱⇩⩕≮⫘↔1000101110100)⋅⇍≮⫘↔10000000011⪪≮⫘↔10110101110))","cot":[{"info":"≮⫘↔1111110100≒∊≮⫘↔10010000010=≮⫘↔-1000010000","layer":3},{"info":"≮⫘↔101101011100⪡≮⫘↔10110011010=≮⫘↔1101011","layer":3},{"info":"≮⫘↔-1000010000∑⇟⊟≮⫘↔1101011=NaN","layer":2},{"info":"≱⇩⩕≮⫘↔1000101110100=≮⫘↔1110001","layer":3},{"info":"≮⫘↔10000000011⪪≮⫘↔10110101110=≮⫘↔-100100111001111110","layer":3},{"info":"≮⫘↔1110001⋅⇍≮⫘↔-100100111001111110=≮⫘↔-1010101110","layer":2},{"info":"NaN⪇≇⋚≮⫘↔-1010101110=NaN","layer":1},{"info":"↑NaN=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"≦∁((⇵⪽$2249$)≬⋮(↞≼$3555$))⋳⪒($1034$≁↽≥$1694$⇼⇔∾$1020$⊬⨰$3944$)","expression":"≦∁((⇵⪽≮⫘↔100011001001)≬⋮(↞≼≮⫘↔110111100011))⋳⪒(≮⫘↔10000001010≁↽≥≮⫘↔11010011110⇼⇔∾≮⫘↔1111111100⊬⨰≮⫘↔111101101000)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":70,"operation_count":8,"complexity_ratio":8.75,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2249,"base":2}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3555,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1034,"base":2},"right_expr":{"type":"numeric_atoms","value":1694,"base":2}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":3944,"base":2}}}}},"used_operators":["9ICcGScMcE","12rbrZMWeM","kbkesczE7y","ZGCBLdVRRX","DE7zCoGJt9","tifHPKVTfV","ncHt1X6cMc","s3Fd5m9Dh2"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","U7g4x0WXJJ","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≮⫘↔10101110001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2249","layer":4},{"info":"compute unary expreesion, input=2249, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=3555","layer":4},{"info":"compute unary expreesion, input=3555, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=28026","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=28026, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=1694, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25442","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3944","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3944, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15740","layer":3},{"info":"compute binary expreesion, left_input=25442, right_input=15740, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-9702","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-9702, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11151","layer":1},{"info":"compute unary expreesion, input=11151, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=11151","layer":0}],"base":2,"result_base":2,"text":"≦∁((⇵⪽≮⫘↔100011001001)≬⋮(↞≼≮⫘↔110111100011))⋳⪒(≮⫘↔10000001010≁↽≥≮⫘↔11010011110⇼⇔∾≮⫘↔1111111100⊬⨰≮⫘↔111101101000)=≮⫘↔10101110001111","reverse_text":"≮⫘↔10101110001111=≦∁((⇵⪽≮⫘↔100011001001)≬⋮(↞≼≮⫘↔110111100011))⋳⪒(≮⫘↔10000001010≁↽≥≮⫘↔11010011110⇼⇔∾≮⫘↔1111111100⊬⨰≮⫘↔111101101000)","cot":[{"info":"⇵⪽≮⫘↔100011001001=NaN","layer":3},{"info":"↞≼≮⫘↔110111100011=≮⫘↔110110101111010","layer":3},{"info":"NaN≬⋮≮⫘↔110110101111010=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔10000001010≁↽≥≮⫘↔11010011110=≮⫘↔110001101100010","layer":3},{"info":"≮⫘↔1111111100⊬⨰≮⫘↔111101101000=≮⫘↔11110101111100","layer":3},{"info":"≮⫘↔110001101100010⇼⇔∾≮⫘↔11110101111100=≮⫘↔-10010111100110","layer":2},{"info":"≮⫘↔1101100100⋳⪒≮⫘↔-10010111100110=≮⫘↔10101110001111","layer":1},{"info":"≦∁≮⫘↔10101110001111=≮⫘↔10101110001111","layer":0}]}
{"id":798,"expression_no_base_symbol":"((∤$4924$)≹⇙⪍($1346$+⪬∐$1050$)⨽⪊≇)⨜⨶($3098$⋹⋡⊁$2609$)↤⩊($1049$⪔$1347$)⫣⪄⊒((∤$3320$)≎⊠⪸(⨭⩧⫛$7824$))","expression":"((∤≮⫘↔1001100111100)≹⇙⪍(≮⫘↔10101000010+⪬∐≮⫘↔10000011010)⨽⪊≇)⨜⨶(≮⫘↔110000011010⋹⋡⊁≮⫘↔101000110001)↤⩊(≮⫘↔10000011001⪔≮⫘↔10101000011)⫣⪄⊒((∤≮⫘↔110011111000)≎⊠⪸(⨭⩧⫛≮⫘↔1111010010000))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":64415,"operation_count":12,"complexity_ratio":5367.916666666667,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":4924,"base":2}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1346,"base":2},"right_expr":{"type":"numeric_atoms","value":1050,"base":2}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3098,"base":2},"right_expr":{"type":"numeric_atoms","value":2609,"base":2}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1049,"base":2},"right_expr":{"type":"numeric_atoms","value":1347,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3320,"base":2}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":7824,"base":2}}}}},"used_operators":["HiPekx5b7W","nlCqmYiOvY","AHs5Up7iyr","k2HlF1dBQh","2GS7woTJqF","RabNbG55vr","13rbtpv6ld","As8RqfVLgs","GjBEYRfMaF","bJkvcejdHO","g21JL6JxX7"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","g55IO6H4Gj","D4vGDi5EA2","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4924","layer":4},{"info":"compute unary expreesion, input=4924, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=1050, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4038","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-4038, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=nan","layer":1},{"info":"number node, value=3098","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=2609, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3359","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1347, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=3359, right_input=450, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=3320","layer":4},{"info":"compute unary expreesion, input=3320, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=7824","layer":4},{"info":"compute unary expreesion, input=7824, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((∤≮⫘↔1001100111100)≹⇙⪍(≮⫘↔10101000010+⪬∐≮⫘↔10000011010)⨽⪊≇)⨜⨶(≮⫘↔110000011010⋹⋡⊁≮⫘↔101000110001)↤⩊(≮⫘↔10000011001⪔≮⫘↔10101000011)⫣⪄⊒((∤≮⫘↔110011111000)≎⊠⪸(⨭⩧⫛≮⫘↔1111010010000))=NaN","reverse_text":"NaN=((∤≮⫘↔1001100111100)≹⇙⪍(≮⫘↔10101000010+⪬∐≮⫘↔10000011010)⨽⪊≇)⨜⨶(≮⫘↔110000011010⋹⋡⊁≮⫘↔101000110001)↤⩊(≮⫘↔10000011001⪔≮⫘↔10101000011)⫣⪄⊒((∤≮⫘↔110011111000)≎⊠⪸(⨭⩧⫛≮⫘↔1111010010000))","cot":[{"info":"∤≮⫘↔1001100111100=≮⫘↔1001","layer":3},{"info":"≮⫘↔10101000010+⪬∐≮⫘↔10000011010=≮⫘↔-111111000110","layer":3},{"info":"≮⫘↔1001≹⇙⪍≮⫘↔-111111000110=NaN","layer":2},{"info":"NaN⨽⪊≇=NaN","layer":1},{"info":"≮⫘↔110000011010⋹⋡⊁≮⫘↔101000110001=≮⫘↔110100011111","layer":3},{"info":"≮⫘↔10000011001⪔≮⫘↔10101000011=≮⫘↔111000010","layer":3},{"info":"≮⫘↔110100011111↤⩊≮⫘↔111000010=NaN","layer":2},{"info":"∤≮⫘↔110011111000=≮⫘↔1001","layer":3},{"info":"⨭⩧⫛≮⫘↔1111010010000=NaN","layer":3},{"info":"≮⫘↔1001≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"NaN⫣⪄⊒≮⫘↔1000011=≮⫘↔10100000","layer":1},{"info":"NaN⨜⨶≮⫘↔10100000=NaN","layer":0}]}
{"id":799,"expression_no_base_symbol":"(⇉-⫰(≅≯⇸$1234$≹⇙⪍$1192$))+⪬∐((($5981$↺$1216$)∀⇚≩(⪨⨬$2317$))⋣⋖(($2017$⫌⩉⩟$4213$)∈))","expression":"(⇉-⫰(≅≯⇸≮⫘↔10011010010≹⇙⪍≮⫘↔10010101000))+⪬∐(((≮⫘↔1011101011101↺≮⫘↔10011000000)∀⇚≩(⪨⨬≮⫘↔100100001101))⋣⋖((≮⫘↔11111100001⫌⩉⩟≮⫘↔1000001110101)∈))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29501,"operation_count":10,"complexity_ratio":2950.1,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1234,"base":2},"right_expr":{"type":"numeric_atoms","value":1192,"base":2}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5981,"base":2},"right_expr":{"type":"numeric_atoms","value":1216,"base":2}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2317,"base":2}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2017,"base":2},"right_expr":{"type":"numeric_atoms","value":4213,"base":2}}}}},"used_operators":["2GS7woTJqF","IGFM8TAlm9","apS25hmuAe","AHs5Up7iyr","J0M6qkBnIM","LRNGc0VcxI","7j4O788W3g","5obUd6DV38","ztP7wcbY7m","XIIwhv8d0m"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","eH2TOUuTDT","eewbuw0ToL","EBcxylXtPf","QMFrweE19q","dWAJyo7jo9","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1234","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1192, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":1},{"info":"number node, value=5981","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=5981, right_input=1216, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1216","layer":3},{"info":"number node, value=2317","layer":4},{"info":"compute unary expreesion, input=2317, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=1216, right_input=-526, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2017","layer":4},{"info":"number node, value=4213","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=4213, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-821","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-821, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇉-⫰(≅≯⇸≮⫘↔10011010010≹⇙⪍≮⫘↔10010101000))+⪬∐(((≮⫘↔1011101011101↺≮⫘↔10011000000)∀⇚≩(⪨⨬≮⫘↔100100001101))⋣⋖((≮⫘↔11111100001⫌⩉⩟≮⫘↔1000001110101)∈))=NaN","reverse_text":"NaN=(⇉-⫰(≅≯⇸≮⫘↔10011010010≹⇙⪍≮⫘↔10010101000))+⪬∐(((≮⫘↔1011101011101↺≮⫘↔10011000000)∀⇚≩(⪨⨬≮⫘↔100100001101))⋣⋖((≮⫘↔11111100001⫌⩉⩟≮⫘↔1000001110101)∈))","cot":[{"info":"≮⫘↔10011010010≹⇙⪍≮⫘↔10010101000=NaN","layer":3},{"info":"≅≯⇸NaN=NaN","layer":2},{"info":"⇉-⫰NaN=NaN","layer":1},{"info":"≮⫘↔1011101011101↺≮⫘↔10011000000=≮⫘↔10011000000","layer":3},{"info":"⪨⨬≮⫘↔100100001101=≮⫘↔-1000001110","layer":3},{"info":"≮⫘↔10011000000∀⇚≩≮⫘↔-1000001110=NaN","layer":2},{"info":"≮⫘↔11111100001⫌⩉⩟≮⫘↔1000001110101=≮⫘↔-110010","layer":3},{"info":"≮⫘↔-110010∈=≮⫘↔-1100110101","layer":2},{"info":"NaN⋣⋖≮⫘↔-1100110101=NaN","layer":1},{"info":"NaN+⪬∐NaN=NaN","layer":0}]}
{"id":800,"expression_no_base_symbol":"($7817$∪⫐$5581$⫚↹⊑$1860$⩵∡$1433$)≁($2635$⩷∴$1650$⩒⫫$4411$⋥⋵⩄$8586$)∥⊢⊲(((⨣⨃⇪$8788$)∩⋅)⫁⪎(⨵≀≌$2675$⫁$1140$))","expression":"(≮⫘↔1111010001001∪⫐≮⫘↔1010111001101⫚↹⊑≮⫘↔11101000100⩵∡≮⫘↔10110011001)≁(≮⫘↔101001001011⩷∴≮⫘↔11001110010⩒⫫≮⫘↔1000100111011⋥⋵⩄≮⫘↔10000110001010)∥⊢⊲(((⨣⨃⇪≮⫘↔10001001010100)∩⋅)⫁⪎(⨵≀≌≮⫘↔101001110011⫁≮⫘↔10001110100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":443,"operation_count":13,"complexity_ratio":34.07692307692308,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":7817,"base":2},"right_expr":{"type":"numeric_atoms","value":5581,"base":2}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1860,"base":2},"right_expr":{"type":"numeric_atoms","value":1433,"base":2}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2635,"base":2},"right_expr":{"type":"numeric_atoms","value":1650,"base":2}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4411,"base":2},"right_expr":{"type":"numeric_atoms","value":8586,"base":2}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":8788,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2675,"base":2},"right_expr":{"type":"numeric_atoms","value":1140,"base":2}}}}},"used_operators":["v1UQAVDJRr","8N2wDY1A35","dfKe02y8D2","7YooWSwCyH","Y7wcNGrDQJ","KFSx94NKJn","9FxExcQeMw","7t3wd0Fuz7","xRrnTEsQ6j","2MzE1hQ0cz","AcOhelriW5","srAu1WTS94","0ajvFaJAv0"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Qy55tPpLXF","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7817","layer":4},{"info":"number node, value=5581","layer":4},{"info":"compute binary expreesion, left_input=7817, right_input=5581, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=7817","layer":3},{"info":"number node, value=1860","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=1433, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2408","layer":3},{"info":"compute binary expreesion, left_input=7817, right_input=-2408, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2635","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=1650, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1938","layer":3},{"info":"number node, value=4411","layer":4},{"info":"number node, value=8586","layer":4},{"info":"compute binary expreesion, left_input=4411, right_input=8586, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=1938, right_input=113, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1636","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=1636, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=26063","layer":1},{"info":"number node, value=8788","layer":4},{"info":"compute unary expreesion, input=8788, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1284","layer":2},{"info":"number node, value=2675","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=1140, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":2},{"info":"compute binary expreesion, left_input=-1284, right_input=25600, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-26884","layer":1},{"info":"compute binary expreesion, left_input=26063, right_input=-26884, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111010001001∪⫐≮⫘↔1010111001101⫚↹⊑≮⫘↔11101000100⩵∡≮⫘↔10110011001)≁(≮⫘↔101001001011⩷∴≮⫘↔11001110010⩒⫫≮⫘↔1000100111011⋥⋵⩄≮⫘↔10000110001010)∥⊢⊲(((⨣⨃⇪≮⫘↔10001001010100)∩⋅)⫁⪎(⨵≀≌≮⫘↔101001110011⫁≮⫘↔10001110100))=NaN","reverse_text":"NaN=(≮⫘↔1111010001001∪⫐≮⫘↔1010111001101⫚↹⊑≮⫘↔11101000100⩵∡≮⫘↔10110011001)≁(≮⫘↔101001001011⩷∴≮⫘↔11001110010⩒⫫≮⫘↔1000100111011⋥⋵⩄≮⫘↔10000110001010)∥⊢⊲(((⨣⨃⇪≮⫘↔10001001010100)∩⋅)⫁⪎(⨵≀≌≮⫘↔101001110011⫁≮⫘↔10001110100))","cot":[{"info":"≮⫘↔1111010001001∪⫐≮⫘↔1010111001101=≮⫘↔1111010001001","layer":3},{"info":"≮⫘↔11101000100⩵∡≮⫘↔10110011001=≮⫘↔-100101101000","layer":3},{"info":"≮⫘↔1111010001001⫚↹⊑≮⫘↔-100101101000=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔101001001011⩷∴≮⫘↔11001110010=≮⫘↔11110010010","layer":3},{"info":"≮⫘↔1000100111011⋥⋵⩄≮⫘↔10000110001010=≮⫘↔1110001","layer":3},{"info":"≮⫘↔11110010010⩒⫫≮⫘↔1110001=≮⫘↔11001100100","layer":2},{"info":"≮⫘↔-110111111≁≮⫘↔11001100100=≮⫘↔110010111001111","layer":1},{"info":"⨣⨃⇪≮⫘↔10001001010100=≮⫘↔10101111101","layer":3},{"info":"≮⫘↔10101111101∩⋅=≮⫘↔-10100000100","layer":2},{"info":"≮⫘↔101001110011⫁≮⫘↔10001110100=≮⫘↔10100000","layer":3},{"info":"⨵≀≌≮⫘↔10100000=≮⫘↔110010000000000","layer":2},{"info":"≮⫘↔-10100000100⫁⪎≮⫘↔110010000000000=≮⫘↔-110100100000100","layer":1},{"info":"≮⫘↔110010111001111∥⊢⊲≮⫘↔-110100100000100=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"(($3390$⪄$1129$)⨐⩸⫘$2609$+⇶⊼$1726$)⪛($1024$↳≱$1956$⋳⪒$1551$∥⊢⊲$1405$)⨎($1918$⩒⫫$1210$⊍⩺⋍$3850$⇴∐$4653$)⊮⊟↴($6914$↳≱$3090$⨫⇇↔($2042$⩉⊫⨁))","expression":"((≮⫘↔110100111110⪄≮⫘↔10001101001)⨐⩸⫘≮⫘↔101000110001+⇶⊼≮⫘↔11010111110)⪛(≮⫘↔10000000000↳≱≮⫘↔11110100100⋳⪒≮⫘↔11000001111∥⊢⊲≮⫘↔10101111101)⨎(≮⫘↔11101111110⩒⫫≮⫘↔10010111010⊍⩺⋍≮⫘↔111100001010⇴∐≮⫘↔1001000101101)⊮⊟↴(≮⫘↔1101100000010↳≱≮⫘↔110000010010⨫⇇↔(≮⫘↔11111111010⩉⊫⨁))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":602,"operation_count":15,"complexity_ratio":40.13333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3390,"base":2},"right_expr":{"type":"numeric_atoms","value":1129,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2609,"base":2},"right_expr":{"type":"numeric_atoms","value":1726,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1024,"base":2},"right_expr":{"type":"numeric_atoms","value":1956,"base":2}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1551,"base":2},"right_expr":{"type":"numeric_atoms","value":1405,"base":2}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1918,"base":2},"right_expr":{"type":"numeric_atoms","value":1210,"base":2}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3850,"base":2},"right_expr":{"type":"numeric_atoms","value":4653,"base":2}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6914,"base":2},"right_expr":{"type":"numeric_atoms","value":3090,"base":2}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2042,"base":2}}}}},"used_operators":["rJVOvQCfKK","uFcxV4UQCh","fu6greOZ01","SUmda5xLS4","TpPTUOHfaN","12rbrZMWeM","JwTKLfZU96","v1UQAVDJRr","QDVgd2eftb","OXDGMFPWZM","KFSx94NKJn","HnzytWxmAO","LXhwmt4mBO","7qqUquhhSb"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","EBcxylXtPf","rGHVDoGpnC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","7j4O788W3g"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3390","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=1129, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-502325","layer":3},{"info":"number node, value=2609","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=1726, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-502325, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1956, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1551","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=1405, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1918","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=1210, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1616","layer":3},{"info":"number node, value=3850","layer":4},{"info":"number node, value=4653","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=4653, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1616, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=6914","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=6914, right_input=3090, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2042","layer":4},{"info":"compute unary expreesion, input=2042, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2042","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2042, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110100111110⪄≮⫘↔10001101001)⨐⩸⫘≮⫘↔101000110001+⇶⊼≮⫘↔11010111110)⪛(≮⫘↔10000000000↳≱≮⫘↔11110100100⋳⪒≮⫘↔11000001111∥⊢⊲≮⫘↔10101111101)⨎(≮⫘↔11101111110⩒⫫≮⫘↔10010111010⊍⩺⋍≮⫘↔111100001010⇴∐≮⫘↔1001000101101)⊮⊟↴(≮⫘↔1101100000010↳≱≮⫘↔110000010010⨫⇇↔(≮⫘↔11111111010⩉⊫⨁))=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔110100111110⪄≮⫘↔10001101001)⨐⩸⫘≮⫘↔101000110001+⇶⊼≮⫘↔11010111110)⪛(≮⫘↔10000000000↳≱≮⫘↔11110100100⋳⪒≮⫘↔11000001111∥⊢⊲≮⫘↔10101111101)⨎(≮⫘↔11101111110⩒⫫≮⫘↔10010111010⊍⩺⋍≮⫘↔111100001010⇴∐≮⫘↔1001000101101)⊮⊟↴(≮⫘↔1101100000010↳≱≮⫘↔110000010010⨫⇇↔(≮⫘↔11111111010⩉⊫⨁))","cot":[{"info":"≮⫘↔110100111110⪄≮⫘↔10001101001=≮⫘↔-1111010101000110101","layer":3},{"info":"≮⫘↔101000110001+⇶⊼≮⫘↔11010111110=NaN","layer":3},{"info":"≮⫘↔-1111010101000110101⨐⩸⫘NaN=NaN","layer":2},{"info":"≮⫘↔10000000000↳≱≮⫘↔11110100100=≮⫘↔0","layer":3},{"info":"≮⫘↔11000001111∥⊢⊲≮⫘↔10101111101=NaN","layer":3},{"info":"≮⫘↔0⋳⪒NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"≮⫘↔11101111110⩒⫫≮⫘↔10010111010=≮⫘↔11001010000","layer":3},{"info":"≮⫘↔111100001010⇴∐≮⫘↔1001000101101=NaN","layer":3},{"info":"≮⫘↔11001010000⊍⩺⋍NaN=NaN","layer":2},{"info":"≮⫘↔1101100000010↳≱≮⫘↔110000010010=≮⫘↔0","layer":3},{"info":"≮⫘↔11111111010⩉⊫⨁=≮⫘↔11111111010","layer":3},{"info":"≮⫘↔0⨫⇇↔≮⫘↔11111111010=≮⫘↔-1000001111","layer":2},{"info":"NaN⊮⊟↴≮⫘↔-1000001111=≮⫘↔0","layer":1},{"info":"NaN⨎≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":802,"expression_no_base_symbol":"((⪸($5090$⪚$4765$))∩⋅)⫁⪎((≻⋜$1638$)⩵∡(↯⪼$1247$))∘((⋠∜$1384$)⪪($3842$⊋≦⊧$3163$))","expression":"((⪸(≮⫘↔1001111100010⪚≮⫘↔1001010011101))∩⋅)⫁⪎((≻⋜≮⫘↔11001100110)⩵∡(↯⪼≮⫘↔10011011111))∘((⋠∜≮⫘↔10101101000)⪪(≮⫘↔111100000010⊋≦⊧≮⫘↔110001011011))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33409,"operation_count":11,"complexity_ratio":3037.181818181818,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5090,"base":2},"right_expr":{"type":"numeric_atoms","value":4765,"base":2}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1638,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1247,"base":2}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1384,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3842,"base":2},"right_expr":{"type":"numeric_atoms","value":3163,"base":2}}}}},"used_operators":["xRrnTEsQ6j","2MzE1hQ0cz","86A5ENbKR9","HrjLwUk87U","Z5m6OM72h2","Y7wcNGrDQJ","3tj9sqzovi","8jW3W4yZS5","xD69zh8xqp","ZJpFhNJr3x","oRDoc9rAEX"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Qy55tPpLXF","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","tifHPKVTfV","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","FU0Cs4j7VP","JclMnS0uGI","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5090","layer":4},{"info":"number node, value=4765","layer":4},{"info":"compute binary expreesion, left_input=5090, right_input=4765, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=294","layer":3},{"info":"compute unary expreesion, input=294, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-4789","layer":2},{"info":"compute unary expreesion, input=-4789, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":1},{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=1384","layer":4},{"info":"compute unary expreesion, input=1384, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7820","layer":3},{"info":"number node, value=3842","layer":4},{"info":"number node, value=3163","layer":4},{"info":"compute binary expreesion, left_input=3842, right_input=3163, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-6086","layer":3},{"info":"compute binary expreesion, left_input=7820, right_input=-6086, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1176909","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1176909, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪸(≮⫘↔1001111100010⪚≮⫘↔1001010011101))∩⋅)⫁⪎((≻⋜≮⫘↔11001100110)⩵∡(↯⪼≮⫘↔10011011111))∘((⋠∜≮⫘↔10101101000)⪪(≮⫘↔111100000010⊋≦⊧≮⫘↔110001011011))=NaN","reverse_text":"NaN=((⪸(≮⫘↔1001111100010⪚≮⫘↔1001010011101))∩⋅)⫁⪎((≻⋜≮⫘↔11001100110)⩵∡(↯⪼≮⫘↔10011011111))∘((⋠∜≮⫘↔10101101000)⪪(≮⫘↔111100000010⊋≦⊧≮⫘↔110001011011))","cot":[{"info":"≮⫘↔1001111100010⪚≮⫘↔1001010011101=≮⫘↔100100110","layer":3},{"info":"⪸≮⫘↔100100110=≮⫘↔-1001010110101","layer":2},{"info":"≮⫘↔-1001010110101∩⋅=≮⫘↔1000011","layer":1},{"info":"≻⋜≮⫘↔11001100110=NaN","layer":3},{"info":"↯⪼≮⫘↔10011011111=≮⫘↔-10101","layer":3},{"info":"NaN⩵∡≮⫘↔-10101=NaN","layer":2},{"info":"⋠∜≮⫘↔10101101000=≮⫘↔1111010001100","layer":3},{"info":"≮⫘↔111100000010⊋≦⊧≮⫘↔110001011011=≮⫘↔-1011111000110","layer":3},{"info":"≮⫘↔1111010001100⪪≮⫘↔-1011111000110=≮⫘↔-100011111010101001101","layer":2},{"info":"NaN∘≮⫘↔-100011111010101001101=NaN","layer":1},{"info":"≮⫘↔1000011⫁⪎NaN=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"⨆≐≲((⪁⇼($3096$⊠≄⫣))⫉⨲⊜($6824$↳≱$2370$⫦⪉$1588$⩵∡$2549$))","expression":"⨆≐≲((⪁⇼(≮⫘↔110000011000⊠≄⫣))⫉⨲⊜(≮⫘↔1101010101000↳≱≮⫘↔100101000010⫦⪉≮⫘↔11000110100⩵∡≮⫘↔100111110101))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":204,"operation_count":7,"complexity_ratio":29.142857142857142,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3096,"base":2}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6824,"base":2},"right_expr":{"type":"numeric_atoms","value":2370,"base":2}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1588,"base":2},"right_expr":{"type":"numeric_atoms","value":2549,"base":2}}}}},"used_operators":["Bi9z9uYZqW","WhqkvtTD3t","ZNVVrZ94lY","DIvbN7qnHd","wscyQdcy20","JwTKLfZU96","Y7wcNGrDQJ"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≮⫘↔-101000100011010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3096","layer":4},{"info":"compute unary expreesion, input=3096, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=6824","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=6824, right_input=2370, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1588","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=2549, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-748","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-748, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=4900, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-166100","layer":0}],"base":2,"result_base":2,"text":"⨆≐≲((⪁⇼(≮⫘↔110000011000⊠≄⫣))⫉⨲⊜(≮⫘↔1101010101000↳≱≮⫘↔100101000010⫦⪉≮⫘↔11000110100⩵∡≮⫘↔100111110101))=≮⫘↔-101000100011010100","reverse_text":"≮⫘↔-101000100011010100=⨆≐≲((⪁⇼(≮⫘↔110000011000⊠≄⫣))⫉⨲⊜(≮⫘↔1101010101000↳≱≮⫘↔100101000010⫦⪉≮⫘↔11000110100⩵∡≮⫘↔100111110101))","cot":[{"info":"≮⫘↔110000011000⊠≄⫣=≮⫘↔0","layer":3},{"info":"⪁⇼≮⫘↔0=≮⫘↔110100110","layer":2},{"info":"≮⫘↔1101010101000↳≱≮⫘↔100101000010=≮⫘↔0","layer":3},{"info":"≮⫘↔11000110100⩵∡≮⫘↔100111110101=≮⫘↔-1011101100","layer":3},{"info":"≮⫘↔0⫦⪉≮⫘↔-1011101100=≮⫘↔1001100100100","layer":2},{"info":"≮⫘↔110100110⫉⨲⊜≮⫘↔1001100100100=≮⫘↔0","layer":1},{"info":"⨆≐≲≮⫘↔0=≮⫘↔-101000100011010100","layer":0}]}
{"id":804,"expression_no_base_symbol":"(⇵⪽($2040$⨚$1931$))⫲≸⪮($1514$⫣⪄⊒$2874$)≁↽≥($8051$⩨$3486$)%($1221$⪝$2655$⨑≵⋬$3791$∴$7149$)+⇶⊼(($4372$≫≃)⪇≇⋚$1716$∌$2260$)","expression":"(⇵⪽(≮⫘↔11111111000⨚≮⫘↔11110001011))⫲≸⪮(≮⫘↔10111101010⫣⪄⊒≮⫘↔101100111010)≁↽≥(≮⫘↔1111101110011⩨≮⫘↔110110011110)%(≮⫘↔10011000101⪝≮⫘↔101001011111⨑≵⋬≮⫘↔111011001111∴≮⫘↔1101111101101)+⇶⊼((≮⫘↔1000100010100≫≃)⪇≇⋚≮⫘↔11010110100∌≮⫘↔100011010100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":539,"operation_count":14,"complexity_ratio":38.5,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2040,"base":2},"right_expr":{"type":"numeric_atoms","value":1931,"base":2}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1514,"base":2},"right_expr":{"type":"numeric_atoms","value":2874,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8051,"base":2},"right_expr":{"type":"numeric_atoms","value":3486,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1221,"base":2},"right_expr":{"type":"numeric_atoms","value":2655,"base":2}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3791,"base":2},"right_expr":{"type":"numeric_atoms","value":7149,"base":2}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4372,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1716,"base":2},"right_expr":{"type":"numeric_atoms","value":2260,"base":2}}}}},"used_operators":["k8jYdgA6NY","P3lXMJvFrc","ZGCBLdVRRX","nREPSIbpBE","ncHt1X6cMc","RabNbG55vr","2DlMacCsIx","TpPTUOHfaN","XnXgA4xnOs","wicAB68Tmb","hrf7POJlIJ","3sJ7IOPOlU","X99M06cbEe","8cLx32lpNA"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","U7g4x0WXJJ","BjRHVeLaeN","12rbrZMWeM","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2040","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=1931, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2710","layer":3},{"info":"compute unary expreesion, input=-2710, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=1514","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=2874, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14728","layer":3},{"info":"number node, value=8051","layer":4},{"info":"number node, value=3486","layer":4},{"info":"compute binary expreesion, left_input=8051, right_input=3486, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-14728, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=1221","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=2655, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=3791","layer":4},{"info":"number node, value=7149","layer":4},{"info":"compute binary expreesion, left_input=3791, right_input=7149, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9230","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=9230, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-62046","layer":2},{"info":"number node, value=4372","layer":4},{"info":"compute unary expreesion, input=4372, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10145","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=2260, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2260","layer":3},{"info":"compute binary expreesion, left_input=10145, right_input=-2260, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-62046, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇵⪽(≮⫘↔11111111000⨚≮⫘↔11110001011))⫲≸⪮(≮⫘↔10111101010⫣⪄⊒≮⫘↔101100111010)≁↽≥(≮⫘↔1111101110011⩨≮⫘↔110110011110)%(≮⫘↔10011000101⪝≮⫘↔101001011111⨑≵⋬≮⫘↔111011001111∴≮⫘↔1101111101101)+⇶⊼((≮⫘↔1000100010100≫≃)⪇≇⋚≮⫘↔11010110100∌≮⫘↔100011010100)=NaN","reverse_text":"NaN=(⇵⪽(≮⫘↔11111111000⨚≮⫘↔11110001011))⫲≸⪮(≮⫘↔10111101010⫣⪄⊒≮⫘↔101100111010)≁↽≥(≮⫘↔1111101110011⩨≮⫘↔110110011110)%(≮⫘↔10011000101⪝≮⫘↔101001011111⨑≵⋬≮⫘↔111011001111∴≮⫘↔1101111101101)+⇶⊼((≮⫘↔1000100010100≫≃)⪇≇⋚≮⫘↔11010110100∌≮⫘↔100011010100)","cot":[{"info":"≮⫘↔11111111000⨚≮⫘↔11110001011=≮⫘↔-101010010110","layer":3},{"info":"⇵⪽≮⫘↔-101010010110=NaN","layer":2},{"info":"≮⫘↔10111101010⫣⪄⊒≮⫘↔101100111010=≮⫘↔-11100110001000","layer":3},{"info":"≮⫘↔1111101110011⩨≮⫘↔110110011110=≮⫘↔0","layer":3},{"info":"≮⫘↔-11100110001000≁↽≥≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⫲≸⪮≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔10011000101⪝≮⫘↔101001011111=≮⫘↔11101101","layer":3},{"info":"≮⫘↔111011001111∴≮⫘↔1101111101101=≮⫘↔10010000001110","layer":3},{"info":"≮⫘↔11101101⨑≵⋬≮⫘↔10010000001110=≮⫘↔-1111001001011110","layer":2},{"info":"≮⫘↔1000100010100≫≃=≮⫘↔10011110100001","layer":3},{"info":"≮⫘↔11010110100∌≮⫘↔100011010100=≮⫘↔-100011010100","layer":3},{"info":"≮⫘↔10011110100001⪇≇⋚≮⫘↔-100011010100=≮⫘↔0","layer":2},{"info":"≮⫘↔-1111001001011110+⇶⊼≮⫘↔0=≮⫘↔0","layer":1},{"info":"NaN%≮⫘↔0=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"($1114$∋$6616$⨒$9266$⋝⋈⪟$5649$)⇂≾⫗(($1005$∑⇟⊟$4246$)⫁(⫓⪴$1097$))+(↓⇌($1202$⫰⋱$2163$))≠≀($7744$↓$2382$⊹∫⫚$1159$⪔⊥$2253$)","expression":"(≮⫘↔10001011010∋≮⫘↔1100111011000⨒≮⫘↔10010000110010⋝⋈⪟≮⫘↔1011000010001)⇂≾⫗((≮⫘↔1111101101∑⇟⊟≮⫘↔1000010010110)⫁(⫓⪴≮⫘↔10001001001))+(↓⇌(≮⫘↔10010110010⫰⋱≮⫘↔100001110011))≠≀(≮⫘↔1111001000000↓≮⫘↔100101001110⊹∫⫚≮⫘↔10010000111⪔⊥≮⫘↔100011001101)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":35075,"operation_count":14,"complexity_ratio":2505.3571428571427,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1114,"base":2},"right_expr":{"type":"numeric_atoms","value":6616,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":9266,"base":2},"right_expr":{"type":"numeric_atoms","value":5649,"base":2}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":4246,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1097,"base":2}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1202,"base":2},"right_expr":{"type":"numeric_atoms","value":2163,"base":2}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":7744,"base":2},"right_expr":{"type":"numeric_atoms","value":2382,"base":2}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1159,"base":2},"right_expr":{"type":"numeric_atoms","value":2253,"base":2}}}}},"used_operators":["W4YGzv6Whe","aBQ6xLxuTc","y75s1iXyHd","ukq6epAj5P","2DDjHMKMc0","0ajvFaJAv0","U7g4x0WXJJ","eLxqMNBOBk","IwW236VD4Y","PxpmPgHHJV","6o9Blt3TJ6","uWAJUKEvyW","Af076pWI7l","HJ9erzHUuu"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≮⫘↔11100011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1114","layer":4},{"info":"number node, value=6616","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=6616, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=13712608","layer":3},{"info":"number node, value=9266","layer":4},{"info":"number node, value=5649","layer":4},{"info":"compute binary expreesion, left_input=9266, right_input=5649, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=9266","layer":3},{"info":"compute binary expreesion, left_input=13712608, right_input=9266, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-82275276","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=4246","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=4246, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1203409","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1203409, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-82275276, right_input=160, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=1202","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=2163, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1169","layer":3},{"info":"compute unary expreesion, input=-1169, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-2338","layer":2},{"info":"number node, value=7744","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=7744, right_input=2382, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=2253, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-69","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-69, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-276","layer":2},{"info":"compute binary expreesion, left_input=-2338, right_input=-276, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=2493","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=2493, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1817","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001011010∋≮⫘↔1100111011000⨒≮⫘↔10010000110010⋝⋈⪟≮⫘↔1011000010001)⇂≾⫗((≮⫘↔1111101101∑⇟⊟≮⫘↔1000010010110)⫁(⫓⪴≮⫘↔10001001001))+(↓⇌(≮⫘↔10010110010⫰⋱≮⫘↔100001110011))≠≀(≮⫘↔1111001000000↓≮⫘↔100101001110⊹∫⫚≮⫘↔10010000111⪔⊥≮⫘↔100011001101)=≮⫘↔11100011001","reverse_text":"≮⫘↔11100011001=(≮⫘↔10001011010∋≮⫘↔1100111011000⨒≮⫘↔10010000110010⋝⋈⪟≮⫘↔1011000010001)⇂≾⫗((≮⫘↔1111101101∑⇟⊟≮⫘↔1000010010110)⫁(⫓⪴≮⫘↔10001001001))+(↓⇌(≮⫘↔10010110010⫰⋱≮⫘↔100001110011))≠≀(≮⫘↔1111001000000↓≮⫘↔100101001110⊹∫⫚≮⫘↔10010000111⪔⊥≮⫘↔100011001101)","cot":[{"info":"≮⫘↔10001011010∋≮⫘↔1100111011000=≮⫘↔110100010011110011100000","layer":3},{"info":"≮⫘↔10010000110010⋝⋈⪟≮⫘↔1011000010001=≮⫘↔10010000110010","layer":3},{"info":"≮⫘↔110100010011110011100000⨒≮⫘↔10010000110010=≮⫘↔-100111001110110101111001100","layer":2},{"info":"≮⫘↔1111101101∑⇟⊟≮⫘↔1000010010110=NaN","layer":3},{"info":"⫓⪴≮⫘↔10001001001=≮⫘↔100100101110011010001","layer":3},{"info":"NaN⫁≮⫘↔100100101110011010001=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-100111001110110101111001100⇂≾⫗≮⫘↔10100000=≮⫘↔-1010100100","layer":1},{"info":"≮⫘↔10010110010⫰⋱≮⫘↔100001110011=≮⫘↔-10010010001","layer":3},{"info":"↓⇌≮⫘↔-10010010001=≮⫘↔-100100100010","layer":2},{"info":"≮⫘↔1111001000000↓≮⫘↔100101001110=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔10010000111⪔⊥≮⫘↔100011001101=≮⫘↔-1000101","layer":3},{"info":"≮⫘↔-10000110⊹∫⫚≮⫘↔-1000101=≮⫘↔-100010100","layer":2},{"info":"≮⫘↔-100100100010≠≀≮⫘↔-100010100=≮⫘↔100110111101","layer":1},{"info":"≮⫘↔-1010100100+≮⫘↔100110111101=≮⫘↔11100011001","layer":0}]}
{"id":806,"expression_no_base_symbol":"(⇋↷($6084$⋝⋈⪟$3383$))↳≱(↴⪽⋼(⇵⪽$7659$))⪥(($1956$↞⋁$1671$⫭)≳⇉($2209$⊟⇱)⇷($4574$⨑≵⋬$3254$))","expression":"(⇋↷(≮⫘↔1011111000100⋝⋈⪟≮⫘↔110100110111))↳≱(↴⪽⋼(⇵⪽≮⫘↔1110111101011))⪥((≮⫘↔11110100100↞⋁≮⫘↔11010000111⫭)≳⇉(≮⫘↔100010100001⊟⇱)⇷(≮⫘↔1000111011110⨑≵⋬≮⫘↔110010110110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":69894,"operation_count":12,"complexity_ratio":5824.5,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6084,"base":2},"right_expr":{"type":"numeric_atoms","value":3383,"base":2}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":7659,"base":2}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1956,"base":2},"right_expr":{"type":"numeric_atoms","value":1671,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":2209,"base":2}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4574,"base":2},"right_expr":{"type":"numeric_atoms","value":3254,"base":2}}}}},"used_operators":["QbnwKVWMIQ","JwTKLfZU96","SWo3A1KBJH","2DDjHMKMc0","5TUYCnJO6w","ZGCBLdVRRX","V0kx6qeWkN","t4WUHVGj7f","RqrPlJkxDo","mp7IySMOzn","03sUfWo75k","XnXgA4xnOs"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","U7g4x0WXJJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","IWmyXbctLI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"≮⫘↔1001000101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6084","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=6084, right_input=3383, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6084","layer":3},{"info":"compute unary expreesion, input=6084, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=48672","layer":2},{"info":"number node, value=7659","layer":4},{"info":"compute unary expreesion, input=7659, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=48672, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1956","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=1671, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":2},{"info":"number node, value=2209","layer":4},{"info":"compute unary expreesion, input=2209, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=4734","layer":3},{"info":"number node, value=4574","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=4574, right_input=3254, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1471","layer":3},{"info":"compute binary expreesion, left_input=4734, right_input=1471, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2942","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2942, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4652","layer":0}],"base":2,"result_base":2,"text":"(⇋↷(≮⫘↔1011111000100⋝⋈⪟≮⫘↔110100110111))↳≱(↴⪽⋼(⇵⪽≮⫘↔1110111101011))⪥((≮⫘↔11110100100↞⋁≮⫘↔11010000111⫭)≳⇉(≮⫘↔100010100001⊟⇱)⇷(≮⫘↔1000111011110⨑≵⋬≮⫘↔110010110110))=≮⫘↔1001000101100","reverse_text":"≮⫘↔1001000101100=(⇋↷(≮⫘↔1011111000100⋝⋈⪟≮⫘↔110100110111))↳≱(↴⪽⋼(⇵⪽≮⫘↔1110111101011))⪥((≮⫘↔11110100100↞⋁≮⫘↔11010000111⫭)≳⇉(≮⫘↔100010100001⊟⇱)⇷(≮⫘↔1000111011110⨑≵⋬≮⫘↔110010110110))","cot":[{"info":"≮⫘↔1011111000100⋝⋈⪟≮⫘↔110100110111=≮⫘↔1011111000100","layer":3},{"info":"⇋↷≮⫘↔1011111000100=≮⫘↔1011111000100000","layer":2},{"info":"⇵⪽≮⫘↔1110111101011=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"≮⫘↔1011111000100000↳≱NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔11110100100↞⋁≮⫘↔11010000111=NaN","layer":3},{"info":"NaN⫭=NaN","layer":2},{"info":"≮⫘↔100010100001⊟⇱=≮⫘↔1001001111110","layer":3},{"info":"≮⫘↔1000111011110⨑≵⋬≮⫘↔110010110110=≮⫘↔10110111111","layer":3},{"info":"≮⫘↔1001001111110⇷≮⫘↔10110111111=≮⫘↔101101111110","layer":2},{"info":"NaN≳⇉≮⫘↔101101111110=NaN","layer":1},{"info":"≮⫘↔0⪥NaN=≮⫘↔1001000101100","layer":0}]}
{"id":807,"expression_no_base_symbol":"∜⨇($7383$≥⨤⩑$7293$⨁⊸⫻)⪬($1844$∺≝⩲$2039$)⪃⊛⇣($4000$⪥$5103$)","expression":"∜⨇(≮⫘↔1110011010111≥⨤⩑≮⫘↔1110001111101⨁⊸⫻)⪬(≮⫘↔11100110100∺≝⩲≮⫘↔11111110111)⪃⊛⇣(≮⫘↔111110100000⪥≮⫘↔1001111101111)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26839,"operation_count":7,"complexity_ratio":3834.1428571428573,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":7383,"base":2},"right_expr":{"type":"numeric_atoms","value":7293,"base":2}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1844,"base":2},"right_expr":{"type":"numeric_atoms","value":2039,"base":2}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4000,"base":2},"right_expr":{"type":"numeric_atoms","value":5103,"base":2}}}}},"used_operators":["uFPyJr306J","Ez1Nq5fNfI","glklzrTFfD","gJLn6v0xnP","rrgAzCduG9","KPf6cnQVty","QbnwKVWMIQ"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","rysDP5nf3Z","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7383","layer":4},{"info":"number node, value=7293","layer":4},{"info":"compute binary expreesion, left_input=7383, right_input=7293, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1234","layer":2},{"info":"number node, value=1844","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=2039, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=4000","layer":4},{"info":"number node, value=5103","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=5103, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=20652","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=20652, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=1234, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∜⨇(≮⫘↔1110011010111≥⨤⩑≮⫘↔1110001111101⨁⊸⫻)⪬(≮⫘↔11100110100∺≝⩲≮⫘↔11111110111)⪃⊛⇣(≮⫘↔111110100000⪥≮⫘↔1001111101111)=NaN","reverse_text":"NaN=∜⨇(≮⫘↔1110011010111≥⨤⩑≮⫘↔1110001111101⨁⊸⫻)⪬(≮⫘↔11100110100∺≝⩲≮⫘↔11111110111)⪃⊛⇣(≮⫘↔111110100000⪥≮⫘↔1001111101111)","cot":[{"info":"≮⫘↔1110011010111≥⨤⩑≮⫘↔1110001111101=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011010010⨁⊸⫻=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔11100110100∺≝⩲≮⫘↔11111110111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔111110100000⪥≮⫘↔1001111101111=≮⫘↔101000010101100","layer":3},{"info":"≮⫘↔10100000⪃⊛⇣≮⫘↔101000010101100=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔10011010010⪬≮⫘↔10011010010=≮⫘↔10011010010","layer":1},{"info":"∜⨇≮⫘↔10011010010=NaN","layer":0}]}
{"id":808,"expression_no_base_symbol":"(∓⪦($9525$*$5913$))⪔⊥($2496$⨸$2518$⋳⪒$2885$⋝⋈⪟$2135$)⇷($1233$⪥$8857$≄⊠(⇠$4694$)≭(($7299$∖$6324$)∖$4272$≠≀$2467$))","expression":"(∓⪦(≮⫘↔10010100110101*≮⫘↔1011100011001))⪔⊥(≮⫘↔100111000000⨸≮⫘↔100111010110⋳⪒≮⫘↔101101000101⋝⋈⪟≮⫘↔100001010111)⇷(≮⫘↔10011010001⪥≮⫘↔10001010011001≄⊠(⇠≮⫘↔1001001010110)≭((≮⫘↔1110010000011∖≮⫘↔1100010110100)∖≮⫘↔1000010110000≠≀≮⫘↔100110100011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9577,"operation_count":14,"complexity_ratio":684.0714285714286,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":9525,"base":2},"right_expr":{"type":"numeric_atoms","value":5913,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2496,"base":2},"right_expr":{"type":"numeric_atoms","value":2518,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2885,"base":2},"right_expr":{"type":"numeric_atoms","value":2135,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1233,"base":2},"right_expr":{"type":"numeric_atoms","value":8857,"base":2}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":4694,"base":2}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":7299,"base":2},"right_expr":{"type":"numeric_atoms","value":6324,"base":2}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4272,"base":2},"right_expr":{"type":"numeric_atoms","value":2467,"base":2}}}}},"used_operators":["mp7IySMOzn","HJ9erzHUuu","D309nIvmXG","9HNa5Wba9A","12rbrZMWeM","KmoU8R5UQR","2DDjHMKMc0","rxpJgHHUmx","vXNesLlMH1","QbnwKVWMIQ","18saOjeKKm","tXD093vOjl","IwW236VD4Y"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"≮⫘↔-101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9525","layer":4},{"info":"number node, value=5913","layer":4},{"info":"compute binary expreesion, left_input=9525, right_input=5913, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=56321325","layer":3},{"info":"compute unary expreesion, input=56321325, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=56320917","layer":2},{"info":"number node, value=2496","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=2518, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4992","layer":3},{"info":"number node, value=2885","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=2135, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2885","layer":3},{"info":"compute binary expreesion, left_input=4992, right_input=2885, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6812","layer":2},{"info":"compute binary expreesion, left_input=56320917, right_input=6812, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=225269845","layer":1},{"info":"number node, value=1233","layer":4},{"info":"number node, value=8857","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=8857, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9584","layer":3},{"info":"number node, value=4694","layer":4},{"info":"compute unary expreesion, input=4694, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-4452","layer":3},{"info":"compute binary expreesion, left_input=9584, right_input=-4452, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=7299","layer":4},{"info":"number node, value=6324","layer":4},{"info":"compute binary expreesion, left_input=7299, right_input=6324, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=4272","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=2467, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8238","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8238, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"compute binary expreesion, left_input=225269845, right_input=-22, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-44","layer":0}],"base":2,"result_base":2,"text":"(∓⪦(≮⫘↔10010100110101*≮⫘↔1011100011001))⪔⊥(≮⫘↔100111000000⨸≮⫘↔100111010110⋳⪒≮⫘↔101101000101⋝⋈⪟≮⫘↔100001010111)⇷(≮⫘↔10011010001⪥≮⫘↔10001010011001≄⊠(⇠≮⫘↔1001001010110)≭((≮⫘↔1110010000011∖≮⫘↔1100010110100)∖≮⫘↔1000010110000≠≀≮⫘↔100110100011))=≮⫘↔-101100","reverse_text":"≮⫘↔-101100=(∓⪦(≮⫘↔10010100110101*≮⫘↔1011100011001))⪔⊥(≮⫘↔100111000000⨸≮⫘↔100111010110⋳⪒≮⫘↔101101000101⋝⋈⪟≮⫘↔100001010111)⇷(≮⫘↔10011010001⪥≮⫘↔10001010011001≄⊠(⇠≮⫘↔1001001010110)≭((≮⫘↔1110010000011∖≮⫘↔1100010110100)∖≮⫘↔1000010110000≠≀≮⫘↔100110100011))","cot":[{"info":"≮⫘↔10010100110101*≮⫘↔1011100011001=≮⫘↔11010110110110010100101101","layer":3},{"info":"∓⪦≮⫘↔11010110110110010100101101=≮⫘↔11010110110110001110010101","layer":2},{"info":"≮⫘↔100111000000⨸≮⫘↔100111010110=≮⫘↔1001110000000","layer":3},{"info":"≮⫘↔101101000101⋝⋈⪟≮⫘↔100001010111=≮⫘↔101101000101","layer":3},{"info":"≮⫘↔1001110000000⋳⪒≮⫘↔101101000101=≮⫘↔1101010011100","layer":2},{"info":"≮⫘↔11010110110110001110010101⪔⊥≮⫘↔1101010011100=≮⫘↔1101011011010101100001010101","layer":1},{"info":"≮⫘↔10011010001⪥≮⫘↔10001010011001=≮⫘↔10010101110000","layer":3},{"info":"⇠≮⫘↔1001001010110=≮⫘↔-1000101100100","layer":3},{"info":"≮⫘↔10010101110000≄⊠≮⫘↔-1000101100100=≮⫘↔10111011100","layer":2},{"info":"≮⫘↔1110010000011∖≮⫘↔1100010110100=≮⫘↔0","layer":3},{"info":"≮⫘↔1000010110000≠≀≮⫘↔100110100011=≮⫘↔-10000000101110","layer":3},{"info":"≮⫘↔0∖≮⫘↔-10000000101110=≮⫘↔0","layer":2},{"info":"≮⫘↔10111011100≭≮⫘↔0=≮⫘↔-10110","layer":1},{"info":"≮⫘↔1101011011010101100001010101⇷≮⫘↔-10110=≮⫘↔-101100","layer":0}]}
{"id":809,"expression_no_base_symbol":"(∷≠($6602$≳⇉$1314$↱$5211$⋭≵$5643$))⫥∨⫟(↓⇌(($1810$⊎←↗)⨻⩈⩔$2687$⩁⩘$6327$))","expression":"(∷≠(≮⫘↔1100111001010≳⇉≮⫘↔10100100010↱≮⫘↔1010001011011⋭≵≮⫘↔1011000001011))⫥∨⫟(↓⇌((≮⫘↔11100010010⊎←↗)⨻⩈⩔≮⫘↔101001111111⩁⩘≮⫘↔1100010110111))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":946188,"operation_count":9,"complexity_ratio":105132.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6602,"base":2},"right_expr":{"type":"numeric_atoms","value":1314,"base":2}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5211,"base":2},"right_expr":{"type":"numeric_atoms","value":5643,"base":2}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":1810,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2687,"base":2},"right_expr":{"type":"numeric_atoms","value":6327,"base":2}}}}},"used_operators":["KYD54nUTWz","QiR2Oyf5Xj","SR5kFfdi6N","V0kx6qeWkN","jBncVCNhdl","PxpmPgHHJV","nEsXyWgiOK","dwb5p0fa6d","gub5Cegaqo"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","7j4O788W3g","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","sdazOOVcIp","COABgblf1C","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6602","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=6602, right_input=1314, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=5211","layer":4},{"info":"number node, value=5643","layer":4},{"info":"compute binary expreesion, left_input=5211, right_input=5643, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=16072","layer":2},{"info":"compute unary expreesion, input=16072, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=16072","layer":1},{"info":"number node, value=1810","layer":4},{"info":"compute unary expreesion, input=1810, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-2935","layer":3},{"info":"number node, value=2687","layer":4},{"info":"number node, value=6327","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=6327, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=26256","layer":3},{"info":"compute binary expreesion, left_input=-2935, right_input=26256, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-348","layer":1},{"info":"compute binary expreesion, left_input=16072, right_input=-348, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∷≠(≮⫘↔1100111001010≳⇉≮⫘↔10100100010↱≮⫘↔1010001011011⋭≵≮⫘↔1011000001011))⫥∨⫟(↓⇌((≮⫘↔11100010010⊎←↗)⨻⩈⩔≮⫘↔101001111111⩁⩘≮⫘↔1100010110111))=NaN","reverse_text":"NaN=(∷≠(≮⫘↔1100111001010≳⇉≮⫘↔10100100010↱≮⫘↔1010001011011⋭≵≮⫘↔1011000001011))⫥∨⫟(↓⇌((≮⫘↔11100010010⊎←↗)⨻⩈⩔≮⫘↔101001111111⩁⩘≮⫘↔1100010110111))","cot":[{"info":"≮⫘↔1100111001010≳⇉≮⫘↔10100100010=NaN","layer":3},{"info":"≮⫘↔1010001011011⋭≵≮⫘↔1011000001011=≮⫘↔1000011","layer":3},{"info":"NaN↱≮⫘↔1000011=≮⫘↔11111011001000","layer":2},{"info":"∷≠≮⫘↔11111011001000=≮⫘↔11111011001000","layer":1},{"info":"≮⫘↔11100010010⊎←↗=≮⫘↔-101101110111","layer":3},{"info":"≮⫘↔101001111111⩁⩘≮⫘↔1100010110111=≮⫘↔110011010010000","layer":3},{"info":"≮⫘↔-101101110111⨻⩈⩔≮⫘↔110011010010000=≮⫘↔-10101110","layer":2},{"info":"↓⇌≮⫘↔-10101110=≮⫘↔-101011100","layer":1},{"info":"≮⫘↔11111011001000⫥∨⫟≮⫘↔-101011100=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"($2071$⋘⨑⨽)⇻⋧≁$1816$≎⪠$1669$⋕⪉⪜($2922$∛$3756$)⪝($1265$⪥⨬⪅)≚⊃≕((⪡⇡≛($3472$⫲≸⪮$8247$))∖$1759$⊮⊟↴$6907$∲⫓($3993$∪⫐$1990$))","expression":"(≮⫘↔100000010111⋘⨑⨽)⇻⋧≁≮⫘↔11100011000≎⪠≮⫘↔11010000101⋕⪉⪜(≮⫘↔101101101010∛≮⫘↔111010101100)⪝(≮⫘↔10011110001⪥⨬⪅)≚⊃≕((⪡⇡≛(≮⫘↔110110010000⫲≸⪮≮⫘↔10000000110111))∖≮⫘↔11011011111⊮⊟↴≮⫘↔1101011111011∲⫓(≮⫘↔111110011001∪⫐≮⫘↔11111000110))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":34676,"operation_count":14,"complexity_ratio":2476.8571428571427,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2071,"base":2}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1816,"base":2},"right_expr":{"type":"numeric_atoms","value":1669,"base":2}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2922,"base":2},"right_expr":{"type":"numeric_atoms","value":3756,"base":2}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":1265,"base":2}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3472,"base":2},"right_expr":{"type":"numeric_atoms","value":8247,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1759,"base":2},"right_expr":{"type":"numeric_atoms","value":6907,"base":2}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3993,"base":2},"right_expr":{"type":"numeric_atoms","value":1990,"base":2}}}}},"used_operators":["Bmrmz2XGnR","z6LnFrNh4i","jCPkEVoL5K","WmT3o8z6ya","aNhz54LH3e","wicAB68Tmb","w2537kitQq","zNRQejTB5A","tXD093vOjl","qL4PrbW1Dq","P3lXMJvFrc","i8ToyICDmI","QDVgd2eftb","7YooWSwCyH"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rJVOvQCfKK","2DDjHMKMc0"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2071","layer":4},{"info":"compute unary expreesion, input=2071, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=11138","layer":3},{"info":"number node, value=1816","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=1669, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=11138, right_input=19558, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=2922","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=3756, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-473, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7425","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-7425, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"number node, value=3472","layer":4},{"info":"number node, value=8247","layer":4},{"info":"compute binary expreesion, left_input=3472, right_input=8247, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3472","layer":3},{"info":"compute unary expreesion, input=3472, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3472","layer":2},{"info":"number node, value=1759","layer":4},{"info":"number node, value=6907","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=6907, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=3993","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=3993, right_input=1990, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3993","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3993, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3472, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2802, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100000010111⋘⨑⨽)⇻⋧≁≮⫘↔11100011000≎⪠≮⫘↔11010000101⋕⪉⪜(≮⫘↔101101101010∛≮⫘↔111010101100)⪝(≮⫘↔10011110001⪥⨬⪅)≚⊃≕((⪡⇡≛(≮⫘↔110110010000⫲≸⪮≮⫘↔10000000110111))∖≮⫘↔11011011111⊮⊟↴≮⫘↔1101011111011∲⫓(≮⫘↔111110011001∪⫐≮⫘↔11111000110))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(≮⫘↔100000010111⋘⨑⨽)⇻⋧≁≮⫘↔11100011000≎⪠≮⫘↔11010000101⋕⪉⪜(≮⫘↔101101101010∛≮⫘↔111010101100)⪝(≮⫘↔10011110001⪥⨬⪅)≚⊃≕((⪡⇡≛(≮⫘↔110110010000⫲≸⪮≮⫘↔10000000110111))∖≮⫘↔11011011111⊮⊟↴≮⫘↔1101011111011∲⫓(≮⫘↔111110011001∪⫐≮⫘↔11111000110))","cot":[{"info":"≮⫘↔100000010111⋘⨑⨽=≮⫘↔10101110000010","layer":3},{"info":"≮⫘↔11100011000≎⪠≮⫘↔11010000101=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔10101110000010⇻⋧≁≮⫘↔100110001100110=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔101101101010∛≮⫘↔111010101100=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔10011110001⪥⨬⪅=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔-1010011110⪝≮⫘↔-111011001=≮⫘↔-1110100000001","layer":2},{"info":"≮⫘↔-110111111⋕⪉⪜≮⫘↔-1110100000001=≮⫘↔101011110010","layer":1},{"info":"≮⫘↔110110010000⫲≸⪮≮⫘↔10000000110111=≮⫘↔110110010000","layer":3},{"info":"⪡⇡≛≮⫘↔110110010000=≮⫘↔-110110010000","layer":2},{"info":"≮⫘↔11011011111⊮⊟↴≮⫘↔1101011111011=≮⫘↔0","layer":3},{"info":"≮⫘↔111110011001∪⫐≮⫘↔11111000110=≮⫘↔111110011001","layer":3},{"info":"≮⫘↔0∲⫓≮⫘↔111110011001=≮⫘↔0","layer":2},{"info":"≮⫘↔-110110010000∖≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔101011110010≚⊃≕≮⫘↔0=≮⫘↔1000011","layer":0}]}
{"id":811,"expression_no_base_symbol":"(≇⪴$1159$⋹⋡⊁$1196$)⨫⇇↔((⊿$1875$)⇄$2709$⇴$4811$)⊾⪯⋞(≘($2539$⫣⪄⊒$1377$))⋝⋈⪟($4665$⪥⨬⪅)⊬⨰($7735$⫃⨇$1700$)","expression":"(≇⪴≮⫘↔10010000111⋹⋡⊁≮⫘↔10010101100)⨫⇇↔((⊿≮⫘↔11101010011)⇄≮⫘↔101010010101⇴≮⫘↔1001011001011)⊾⪯⋞(≘(≮⫘↔100111101011⫣⪄⊒≮⫘↔10101100001))⋝⋈⪟(≮⫘↔1001000111001⪥⨬⪅)⊬⨰(≮⫘↔1111000110111⫃⨇≮⫘↔11010100100)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":63007,"operation_count":13,"complexity_ratio":4846.692307692308,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1159,"base":2},"right_expr":{"type":"numeric_atoms","value":1196,"base":2}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1875,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2709,"base":2},"right_expr":{"type":"numeric_atoms","value":4811,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2539,"base":2},"right_expr":{"type":"numeric_atoms","value":1377,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":4665,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7735,"base":2},"right_expr":{"type":"numeric_atoms","value":1700,"base":2}}}}},"used_operators":["HK0tfVPux8","LXhwmt4mBO","zoVPnxeHJ3","As8RqfVLgs","3EYGwJThht","DO4fhlbJSI","4JB6nKBMSY","2DDjHMKMc0","tcjXMdvYtA","RabNbG55vr","s3Fd5m9Dh2","zNRQejTB5A","09Ly4LVMIf"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≮⫘↔10000100100111011001010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1159","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=1196, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1946","layer":3},{"info":"compute unary expreesion, input=1946, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-4498","layer":2},{"info":"number node, value=1875","layer":4},{"info":"compute unary expreesion, input=1875, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-8238","layer":3},{"info":"number node, value=2709","layer":4},{"info":"number node, value=4811","layer":4},{"info":"compute binary expreesion, left_input=2709, right_input=4811, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=25490","layer":3},{"info":"compute binary expreesion, left_input=-8238, right_input=25490, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-25006","layer":2},{"info":"compute binary expreesion, left_input=-4498, right_input=-25006, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=2539","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=2539, right_input=1377, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-3696","layer":3},{"info":"compute unary expreesion, input=-3696, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2172986","layer":2},{"info":"number node, value=4665","layer":4},{"info":"compute unary expreesion, input=4665, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"number node, value=7735","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=7735, right_input=1700, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6832","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-6832, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-28274","layer":2},{"info":"compute binary expreesion, left_input=2172986, right_input=-28274, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2172986","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=2172986, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4345546","layer":0}],"base":2,"result_base":2,"text":"(≇⪴≮⫘↔10010000111⋹⋡⊁≮⫘↔10010101100)⨫⇇↔((⊿≮⫘↔11101010011)⇄≮⫘↔101010010101⇴≮⫘↔1001011001011)⊾⪯⋞(≘(≮⫘↔100111101011⫣⪄⊒≮⫘↔10101100001))⋝⋈⪟(≮⫘↔1001000111001⪥⨬⪅)⊬⨰(≮⫘↔1111000110111⫃⨇≮⫘↔11010100100)=≮⫘↔10000100100111011001010","reverse_text":"≮⫘↔10000100100111011001010=(≇⪴≮⫘↔10010000111⋹⋡⊁≮⫘↔10010101100)⨫⇇↔((⊿≮⫘↔11101010011)⇄≮⫘↔101010010101⇴≮⫘↔1001011001011)⊾⪯⋞(≘(≮⫘↔100111101011⫣⪄⊒≮⫘↔10101100001))⋝⋈⪟(≮⫘↔1001000111001⪥⨬⪅)⊬⨰(≮⫘↔1111000110111⫃⨇≮⫘↔11010100100)","cot":[{"info":"≮⫘↔10010000111⋹⋡⊁≮⫘↔10010101100=≮⫘↔11110011010","layer":3},{"info":"≇⪴≮⫘↔11110011010=≮⫘↔-1000110010010","layer":2},{"info":"⊿≮⫘↔11101010011=≮⫘↔-10000000101110","layer":3},{"info":"≮⫘↔101010010101⇴≮⫘↔1001011001011=≮⫘↔110001110010010","layer":3},{"info":"≮⫘↔-10000000101110⇄≮⫘↔110001110010010=≮⫘↔-110000110101110","layer":2},{"info":"≮⫘↔-1000110010010⨫⇇↔≮⫘↔-110000110101110=≮⫘↔-1000001111","layer":1},{"info":"≮⫘↔100111101011⫣⪄⊒≮⫘↔10101100001=≮⫘↔-111001110000","layer":3},{"info":"≘≮⫘↔-111001110000=≮⫘↔1000010010100000111010","layer":2},{"info":"≮⫘↔1001000111001⪥⨬⪅=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔1111000110111⫃⨇≮⫘↔11010100100=≮⫘↔-1101010110000","layer":3},{"info":"≮⫘↔-111011001⊬⨰≮⫘↔-1101010110000=≮⫘↔-110111001110010","layer":2},{"info":"≮⫘↔1000010010100000111010⋝⋈⪟≮⫘↔-110111001110010=≮⫘↔1000010010100000111010","layer":1},{"info":"≮⫘↔-1000001111⊾⪯⋞≮⫘↔1000010010100000111010=≮⫘↔10000100100111011001010","layer":0}]}
{"id":812,"expression_no_base_symbol":"((⫎≠⋺$4049$)*$6402$⨥⫆$1913$↸($4020$⨚⇆$2111$⊉≛↸$1671$⊹∫⫚$1337$))↢($6551$↳∿⪆$8217$⇄$2256$⫒⫫$2828$⫔⩽⩺($7666$⇮⋭$2269$)∣($1931$⪭≯$4365$))","expression":"((⫎≠⋺≮⫘↔111111010001)*≮⫘↔1100100000010⨥⫆≮⫘↔11101111001↸(≮⫘↔111110110100⨚⇆≮⫘↔100000111111⊉≛↸≮⫘↔11010000111⊹∫⫚≮⫘↔10100111001))↢(≮⫘↔1100110010111↳∿⪆≮⫘↔10000000011001⇄≮⫘↔100011010000⫒⫫≮⫘↔101100001100⫔⩽⩺(≮⫘↔1110111110010⇮⋭≮⫘↔100011011101)∣(≮⫘↔11110001011⪭≯≮⫘↔1000100001101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":258637,"operation_count":15,"complexity_ratio":17242.466666666667,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4049,"base":2}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":6402,"base":2},"right_expr":{"type":"numeric_atoms","value":1913,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4020,"base":2},"right_expr":{"type":"numeric_atoms","value":2111,"base":2}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1671,"base":2},"right_expr":{"type":"numeric_atoms","value":1337,"base":2}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6551,"base":2},"right_expr":{"type":"numeric_atoms","value":8217,"base":2}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2256,"base":2},"right_expr":{"type":"numeric_atoms","value":2828,"base":2}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":7666,"base":2},"right_expr":{"type":"numeric_atoms","value":2269,"base":2}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1931,"base":2},"right_expr":{"type":"numeric_atoms","value":4365,"base":2}}}}},"used_operators":["WR6HLWljOP","1eCjFl0mb9","9HNa5Wba9A","LYeZOJ0nQG","yXekIHxTD4","DZ8iAZOCBD","lwHaAYXP2r","uWAJUKEvyW","i9eR4S00cU","3EYGwJThht","Cw4SuJJGHO","6Ko8hGgeMq","PPChnnnBFF","vkpjKywKVM","XAx5wpdLa6"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"≮⫘↔-111100100","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=4049","layer":4},{"info":"compute unary expreesion, input=4049, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=6402","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=6402, right_input=1913, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3702","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3702, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=4020","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=4020, right_input=2111, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=1337, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-196","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-196, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":1},{"info":"number node, value=6551","layer":4},{"info":"number node, value=8217","layer":4},{"info":"compute binary expreesion, left_input=6551, right_input=8217, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2256","layer":4},{"info":"number node, value=2828","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=2828, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"number node, value=7666","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=7666, right_input=2269, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=4365","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=4365, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":0}],"base":2,"result_base":2,"text":"((⫎≠⋺≮⫘↔111111010001)*≮⫘↔1100100000010⨥⫆≮⫘↔11101111001↸(≮⫘↔111110110100⨚⇆≮⫘↔100000111111⊉≛↸≮⫘↔11010000111⊹∫⫚≮⫘↔10100111001))↢(≮⫘↔1100110010111↳∿⪆≮⫘↔10000000011001⇄≮⫘↔100011010000⫒⫫≮⫘↔101100001100⫔⩽⩺(≮⫘↔1110111110010⇮⋭≮⫘↔100011011101)∣(≮⫘↔11110001011⪭≯≮⫘↔1000100001101))=≮⫘↔-111100100","reverse_text":"≮⫘↔-111100100=((⫎≠⋺≮⫘↔111111010001)*≮⫘↔1100100000010⨥⫆≮⫘↔11101111001↸(≮⫘↔111110110100⨚⇆≮⫘↔100000111111⊉≛↸≮⫘↔11010000111⊹∫⫚≮⫘↔10100111001))↢(≮⫘↔1100110010111↳∿⪆≮⫘↔10000000011001⇄≮⫘↔100011010000⫒⫫≮⫘↔101100001100⫔⩽⩺(≮⫘↔1110111110010⇮⋭≮⫘↔100011011101)∣(≮⫘↔11110001011⪭≯≮⫘↔1000100001101))","cot":[{"info":"⫎≠⋺≮⫘↔111111010001=≮⫘↔0","layer":3},{"info":"≮⫘↔1100100000010⨥⫆≮⫘↔11101111001=≮⫘↔111001110110","layer":3},{"info":"≮⫘↔0*≮⫘↔111001110110=≮⫘↔0","layer":2},{"info":"≮⫘↔111110110100⨚⇆≮⫘↔100000111111=NaN","layer":3},{"info":"≮⫘↔11010000111⊹∫⫚≮⫘↔10100111001=≮⫘↔-11000100","layer":3},{"info":"NaN⊉≛↸≮⫘↔-11000100=NaN","layer":2},{"info":"≮⫘↔0↸NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔1100110010111↳∿⪆≮⫘↔10000000011001=NaN","layer":3},{"info":"≮⫘↔100011010000⫒⫫≮⫘↔101100001100=NaN","layer":3},{"info":"NaN⇄NaN=NaN","layer":2},{"info":"≮⫘↔1110111110010⇮⋭≮⫘↔100011011101=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔11110001011⪭≯≮⫘↔1000100001101=NaN","layer":3},{"info":"≮⫘↔-111011001∣NaN=≮⫘↔-111011001","layer":2},{"info":"NaN⫔⩽⩺≮⫘↔-111011001=NaN","layer":1},{"info":"≮⫘↔0↢NaN=≮⫘↔-111100100","layer":0}]}
{"id":813,"expression_no_base_symbol":"((≑⋹(⊵⊁$1579$))⪔$6477$⨂≜$5562$⇌⫙⪟$2379$∣$4455$)⇣⩺⋵(∂⩏⊆$1529$⩒⫫$1973$≀⩗∶$1394$⨟⋌⩍$2178$)","expression":"((≑⋹(⊵⊁≮⫘↔11000101011))⪔≮⫘↔1100101001101⨂≜≮⫘↔1010110111010⇌⫙⪟≮⫘↔100101001011∣≮⫘↔1000101100111)⇣⩺⋵(∂⩏⊆≮⫘↔10111111001⩒⫫≮⫘↔11110110101≀⩗∶≮⫘↔10101110010⨟⋌⩍≮⫘↔100010000010)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6855,"operation_count":11,"complexity_ratio":623.1818181818181,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1579,"base":2}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6477,"base":2},"right_expr":{"type":"numeric_atoms","value":5562,"base":2}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2379,"base":2},"right_expr":{"type":"numeric_atoms","value":4455,"base":2}}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1529,"base":2},"right_expr":{"type":"numeric_atoms","value":1973,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1394,"base":2},"right_expr":{"type":"numeric_atoms","value":2178,"base":2}}}}},"used_operators":["F4yD0voBRQ","GjBEYRfMaF","6B9nyZLogK","AvED76WdY7","AFVx7xoS7T","k1SHOSEABc","PPChnnnBFF","8WDwsbhb0R","8INZBEW696","KFSx94NKJn","rGHVDoGpnC"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","uBihLCJcMX","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","14qkJME0vr","eLAdDNolq6","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Tcnh7f0tEr"],"result":"≮⫘↔-100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=8404","layer":3},{"info":"compute unary expreesion, input=8404, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"number node, value=6477","layer":4},{"info":"number node, value=5562","layer":4},{"info":"compute binary expreesion, left_input=6477, right_input=5562, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2379","layer":4},{"info":"number node, value=4455","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=4455, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2379","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2379, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=1529","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=1973, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1227","layer":3},{"info":"number node, value=1394","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=2178, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1227, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":2,"result_base":2,"text":"((≑⋹(⊵⊁≮⫘↔11000101011))⪔≮⫘↔1100101001101⨂≜≮⫘↔1010110111010⇌⫙⪟≮⫘↔100101001011∣≮⫘↔1000101100111)⇣⩺⋵(∂⩏⊆≮⫘↔10111111001⩒⫫≮⫘↔11110110101≀⩗∶≮⫘↔10101110010⨟⋌⩍≮⫘↔100010000010)=≮⫘↔-100000100","reverse_text":"≮⫘↔-100000100=((≑⋹(⊵⊁≮⫘↔11000101011))⪔≮⫘↔1100101001101⨂≜≮⫘↔1010110111010⇌⫙⪟≮⫘↔100101001011∣≮⫘↔1000101100111)⇣⩺⋵(∂⩏⊆≮⫘↔10111111001⩒⫫≮⫘↔11110110101≀⩗∶≮⫘↔10101110010⨟⋌⩍≮⫘↔100010000010)","cot":[{"info":"⊵⊁≮⫘↔11000101011=≮⫘↔10000011010100","layer":3},{"info":"≑⋹≮⫘↔10000011010100=≮⫘↔11001110010","layer":2},{"info":"≮⫘↔1100101001101⨂≜≮⫘↔1010110111010=NaN","layer":3},{"info":"≮⫘↔100101001011∣≮⫘↔1000101100111=≮⫘↔100101001011","layer":3},{"info":"NaN⇌⫙⪟≮⫘↔100101001011=NaN","layer":2},{"info":"≮⫘↔11001110010⪔NaN=NaN","layer":1},{"info":"≮⫘↔10111111001⩒⫫≮⫘↔11110110101=≮⫘↔10011001011","layer":3},{"info":"≮⫘↔10101110010⨟⋌⩍≮⫘↔100010000010=NaN","layer":3},{"info":"≮⫘↔10011001011≀⩗∶NaN=NaN","layer":2},{"info":"∂⩏⊆NaN=NaN","layer":1},{"info":"NaN⇣⩺⋵NaN=≮⫘↔-100000100","layer":0}]}
{"id":814,"expression_no_base_symbol":"∜⨇(($4865$⪛$6838$)⪬($1125$∁)⊔((⨵≀≌$3347$)⩵∡$1843$⨽$5092$))","expression":"∜⨇((≮⫘↔1001100000001⪛≮⫘↔1101010110110)⪬(≮⫘↔10001100101∁)⊔((⨵≀≌≮⫘↔110100010011)⩵∡≮⫘↔11100110011⨽≮⫘↔1001111100100))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2515,"operation_count":8,"complexity_ratio":314.375,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4865,"base":2},"right_expr":{"type":"numeric_atoms","value":6838,"base":2}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1125,"base":2}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3347,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1843,"base":2},"right_expr":{"type":"numeric_atoms","value":5092,"base":2}}}}},"used_operators":["uFPyJr306J","E4l6HwMY31","Ez1Nq5fNfI","uFcxV4UQCh","jdwGQqwJi5","Y7wcNGrDQJ","srAu1WTS94","8HhzD0ZcuI"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2DDjHMKMc0","NTOWxs364D","glklzrTFfD","tifHPKVTfV","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4865","layer":4},{"info":"number node, value=6838","layer":4},{"info":"compute binary expreesion, left_input=4865, right_input=6838, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4865","layer":3},{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1125","layer":3},{"info":"compute binary expreesion, left_input=4865, right_input=1125, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=3347","layer":4},{"info":"compute unary expreesion, input=3347, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10041","layer":3},{"info":"number node, value=1843","layer":4},{"info":"number node, value=5092","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=5092, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10203909","layer":3},{"info":"compute binary expreesion, left_input=-10041, right_input=-10203909, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-10173907","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-10173907, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=2433","layer":1},{"info":"compute unary expreesion, input=2433, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∜⨇((≮⫘↔1001100000001⪛≮⫘↔1101010110110)⪬(≮⫘↔10001100101∁)⊔((⨵≀≌≮⫘↔110100010011)⩵∡≮⫘↔11100110011⨽≮⫘↔1001111100100))=NaN","reverse_text":"NaN=∜⨇((≮⫘↔1001100000001⪛≮⫘↔1101010110110)⪬(≮⫘↔10001100101∁)⊔((⨵≀≌≮⫘↔110100010011)⩵∡≮⫘↔11100110011⨽≮⫘↔1001111100100))","cot":[{"info":"≮⫘↔1001100000001⪛≮⫘↔1101010110110=≮⫘↔1001100000001","layer":3},{"info":"≮⫘↔10001100101∁=≮⫘↔10001100101","layer":3},{"info":"≮⫘↔1001100000001⪬≮⫘↔10001100101=≮⫘↔10011010010","layer":2},{"info":"⨵≀≌≮⫘↔110100010011=≮⫘↔-10011100111001","layer":3},{"info":"≮⫘↔11100110011⨽≮⫘↔1001111100100=≮⫘↔-100110111011001100000101","layer":3},{"info":"≮⫘↔-10011100111001⩵∡≮⫘↔-100110111011001100000101=≮⫘↔-100110110011110111010011","layer":2},{"info":"≮⫘↔10011010010⊔≮⫘↔-100110110011110111010011=≮⫘↔100110000001","layer":1},{"info":"∜⨇≮⫘↔100110000001=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"((⊬↢($4681$⩘$4228$))+⪬∐(≋$2964$)↓($1647$⊋$8918$))⨜⨶(($1241$⨂≜$1513$⪗)⪮%⊝(($3688$⨹)⫢⨠$1940$⨂≜$6691$))","expression":"((⊬↢(≮⫘↔1001001001001⩘≮⫘↔1000010000100))+⪬∐(≋≮⫘↔101110010100)↓(≮⫘↔11001101111⊋≮⫘↔10001011010110))⨜⨶((≮⫘↔10011011001⨂≜≮⫘↔10111101001⪗)⪮%⊝((≮⫘↔111001101000⨹)⫢⨠≮⫘↔11110010100⨂≜≮⫘↔1101000100011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21637,"operation_count":13,"complexity_ratio":1664.3846153846155,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4681,"base":2},"right_expr":{"type":"numeric_atoms","value":4228,"base":2}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2964,"base":2}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1647,"base":2},"right_expr":{"type":"numeric_atoms","value":8918,"base":2}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1241,"base":2},"right_expr":{"type":"numeric_atoms","value":1513,"base":2}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":3688,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1940,"base":2},"right_expr":{"type":"numeric_atoms","value":6691,"base":2}}}}},"used_operators":["HiPekx5b7W","2GS7woTJqF","WPoGxAaPR1","cHh1gJQ2o6","Af076pWI7l","61wBmkZwlr","W4tP9CfskL","IWmyXbctLI","VEQNXA0ZBg","k1SHOSEABc","xlXykHWxX1","UnCoSGIALn"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","7j4O788W3g","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4681","layer":4},{"info":"number node, value=4228","layer":4},{"info":"compute binary expreesion, left_input=4681, right_input=4228, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-664","layer":2},{"info":"number node, value=2964","layer":4},{"info":"compute unary expreesion, input=2964, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2964","layer":3},{"info":"number node, value=1647","layer":4},{"info":"number node, value=8918","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=8918, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-511302400","layer":3},{"info":"compute binary expreesion, left_input=2964, right_input=-511302400, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-664, right_input=-134, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1992","layer":1},{"info":"number node, value=1241","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=1513, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=3688","layer":4},{"info":"compute unary expreesion, input=3688, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=7376","layer":3},{"info":"number node, value=1940","layer":4},{"info":"number node, value=6691","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=6691, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7376, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1992, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊬↢(≮⫘↔1001001001001⩘≮⫘↔1000010000100))+⪬∐(≋≮⫘↔101110010100)↓(≮⫘↔11001101111⊋≮⫘↔10001011010110))⨜⨶((≮⫘↔10011011001⨂≜≮⫘↔10111101001⪗)⪮%⊝((≮⫘↔111001101000⨹)⫢⨠≮⫘↔11110010100⨂≜≮⫘↔1101000100011))=NaN","reverse_text":"NaN=((⊬↢(≮⫘↔1001001001001⩘≮⫘↔1000010000100))+⪬∐(≋≮⫘↔101110010100)↓(≮⫘↔11001101111⊋≮⫘↔10001011010110))⨜⨶((≮⫘↔10011011001⨂≜≮⫘↔10111101001⪗)⪮%⊝((≮⫘↔111001101000⨹)⫢⨠≮⫘↔11110010100⨂≜≮⫘↔1101000100011))","cot":[{"info":"≮⫘↔1001001001001⩘≮⫘↔1000010000100=≮⫘↔10100000","layer":3},{"info":"⊬↢≮⫘↔10100000=≮⫘↔-1010011000","layer":2},{"info":"≋≮⫘↔101110010100=≮⫘↔101110010100","layer":3},{"info":"≮⫘↔11001101111⊋≮⫘↔10001011010110=≮⫘↔-11110011110011101101100000000","layer":3},{"info":"≮⫘↔101110010100↓≮⫘↔-11110011110011101101100000000=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔-1010011000+⪬∐≮⫘↔-10000110=≮⫘↔11111001000","layer":1},{"info":"≮⫘↔10011011001⨂≜≮⫘↔10111101001=NaN","layer":3},{"info":"NaN⪗=NaN","layer":2},{"info":"≮⫘↔111001101000⨹=≮⫘↔1110011010000","layer":3},{"info":"≮⫘↔11110010100⨂≜≮⫘↔1101000100011=NaN","layer":3},{"info":"≮⫘↔1110011010000⫢⨠NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"≮⫘↔11111001000⨜⨶NaN=NaN","layer":0}]}
{"id":816,"expression_no_base_symbol":"((($1520$≬⋮$1052$)↺(⨙⪌$1058$))⫯⪬∳(($2388$⨓$3425$)⨲∙))⪎↠(($1411$⫦⪉$1640$)⊔($3067$⪷)/$1254$⊉↱≁$3691$⊉↱≁($2424$⊔$2179$))","expression":"(((≮⫘↔10111110000≬⋮≮⫘↔10000011100)↺(⨙⪌≮⫘↔10000100010))⫯⪬∳((≮⫘↔100101010100⨓≮⫘↔110101100001)⨲∙))⪎↠((≮⫘↔10110000011⫦⪉≮⫘↔11001101000)⊔(≮⫘↔101111111011⪷)/≮⫘↔10011100110⊉↱≁≮⫘↔111001101011⊉↱≁(≮⫘↔100101111000⊔≮⫘↔100010000011))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":55594,"operation_count":14,"complexity_ratio":3971.0,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1520,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1058,"base":2}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2388,"base":2},"right_expr":{"type":"numeric_atoms","value":3425,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1411,"base":2},"right_expr":{"type":"numeric_atoms","value":1640,"base":2}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":3067,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1254,"base":2},"right_expr":{"type":"numeric_atoms","value":3691,"base":2}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2424,"base":2},"right_expr":{"type":"numeric_atoms","value":2179,"base":2}}}}},"used_operators":["3tVxb0NHM4","d7ASUq0ydm","7j4O788W3g","kbkesczE7y","vEGLkm4Z2k","cRahaglYVE","3ViojmjbAp","XhwjNDsVaA","E4l6HwMY31","wscyQdcy20","Qctrpi3WzA","w2P8NbNXyL"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Nsiff2A1zJ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1520","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=1052, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=868, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=868","layer":2},{"info":"number node, value=2388","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=3425, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3428","layer":3},{"info":"compute unary expreesion, input=-3428, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2671","layer":1},{"info":"number node, value=1411","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=1640, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2078","layer":3},{"info":"number node, value=3067","layer":4},{"info":"compute unary expreesion, input=3067, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2078, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=1254","layer":4},{"info":"number node, value=3691","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=3691, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-10720","layer":3},{"info":"number node, value=2424","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=2179, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13343","layer":3},{"info":"compute binary expreesion, left_input=-10720, right_input=13343, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-188372","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-188372, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2671, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10111110000≬⋮≮⫘↔10000011100)↺(⨙⪌≮⫘↔10000100010))⫯⪬∳((≮⫘↔100101010100⨓≮⫘↔110101100001)⨲∙))⪎↠((≮⫘↔10110000011⫦⪉≮⫘↔11001101000)⊔(≮⫘↔101111111011⪷)/≮⫘↔10011100110⊉↱≁≮⫘↔111001101011⊉↱≁(≮⫘↔100101111000⊔≮⫘↔100010000011))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(((≮⫘↔10111110000≬⋮≮⫘↔10000011100)↺(⨙⪌≮⫘↔10000100010))⫯⪬∳((≮⫘↔100101010100⨓≮⫘↔110101100001)⨲∙))⪎↠((≮⫘↔10110000011⫦⪉≮⫘↔11001101000)⊔(≮⫘↔101111111011⪷)/≮⫘↔10011100110⊉↱≁≮⫘↔111001101011⊉↱≁(≮⫘↔100101111000⊔≮⫘↔100010000011))","cot":[{"info":"≮⫘↔10111110000≬⋮≮⫘↔10000011100=≮⫘↔1101100100","layer":3},{"info":"⨙⪌≮⫘↔10000100010=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔1101100100↺≮⫘↔1101100100=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔100101010100⨓≮⫘↔110101100001=≮⫘↔-110101100100","layer":3},{"info":"≮⫘↔-110101100100⨲∙=NaN","layer":2},{"info":"≮⫘↔1101100100⫯⪬∳NaN=≮⫘↔101001101111","layer":1},{"info":"≮⫘↔10110000011⫦⪉≮⫘↔11001101000=≮⫘↔100000011110","layer":3},{"info":"≮⫘↔101111111011⪷=NaN","layer":3},{"info":"≮⫘↔100000011110⊔NaN=NaN","layer":2},{"info":"≮⫘↔10011100110⊉↱≁≮⫘↔111001101011=≮⫘↔-10100111100000","layer":3},{"info":"≮⫘↔100101111000⊔≮⫘↔100010000011=≮⫘↔11010000011111","layer":3},{"info":"≮⫘↔-10100111100000⊉↱≁≮⫘↔11010000011111=≮⫘↔-101101111111010100","layer":2},{"info":"NaN/≮⫘↔-101101111111010100=NaN","layer":1},{"info":"≮⫘↔101001101111⪎↠NaN=≮⫘↔10100000","layer":0}]}
{"id":817,"expression_no_base_symbol":"(⫵↿(($1821$⇴$1496$)⨱∎))∼(⫵↿$6586$)⇡⇂($2435$⨝⩣∺)≹⇙⪍(($2238$≬⋮$4165$)≓∲(≇⪴$1226$))","expression":"(⫵↿((≮⫘↔11100011101⇴≮⫘↔10111011000)⨱∎))∼(⫵↿≮⫘↔1100110111010)⇡⇂(≮⫘↔100110000011⨝⩣∺)≹⇙⪍((≮⫘↔100010111110≬⋮≮⫘↔1000001000101)≓∲(≇⪴≮⫘↔10011001010))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57418,"operation_count":11,"complexity_ratio":5219.818181818182,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1821,"base":2},"right_expr":{"type":"numeric_atoms","value":1496,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":6586,"base":2}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2435,"base":2}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2238,"base":2},"right_expr":{"type":"numeric_atoms","value":4165,"base":2}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1226,"base":2}}}}},"used_operators":["DyGG3AbaNP","ivGwdmUAux","MmTdOpaElr","4JB6nKBMSY","AHs5Up7iyr","UMwdvZNt44","ancx8kZcWl","s1XTVnmDOJ","kbkesczE7y","zoVPnxeHJ3"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","tifHPKVTfV","sdazOOVcIp","NTOWxs364D","COABgblf1C","dWAJyo7jo9","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DZ8iAZOCBD","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1821","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1496, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=13532","layer":3},{"info":"compute unary expreesion, input=13532, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=6586","layer":4},{"info":"compute unary expreesion, input=6586, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=2435","layer":4},{"info":"compute unary expreesion, input=2435, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-4870","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-4870, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-140","layer":2},{"info":"number node, value=2238","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=4165, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1226","layer":4},{"info":"compute unary expreesion, input=1226, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2338","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-2338, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=24805","layer":2},{"info":"compute binary expreesion, left_input=-140, right_input=24805, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫵↿((≮⫘↔11100011101⇴≮⫘↔10111011000)⨱∎))∼(⫵↿≮⫘↔1100110111010)⇡⇂(≮⫘↔100110000011⨝⩣∺)≹⇙⪍((≮⫘↔100010111110≬⋮≮⫘↔1000001000101)≓∲(≇⪴≮⫘↔10011001010))=NaN","reverse_text":"NaN=(⫵↿((≮⫘↔11100011101⇴≮⫘↔10111011000)⨱∎))∼(⫵↿≮⫘↔1100110111010)⇡⇂(≮⫘↔100110000011⨝⩣∺)≹⇙⪍((≮⫘↔100010111110≬⋮≮⫘↔1000001000101)≓∲(≇⪴≮⫘↔10011001010))","cot":[{"info":"≮⫘↔11100011101⇴≮⫘↔10111011000=≮⫘↔11010011011100","layer":3},{"info":"≮⫘↔11010011011100⨱∎=≮⫘↔0","layer":2},{"info":"⫵↿≮⫘↔0=≮⫘↔10001001","layer":1},{"info":"⫵↿≮⫘↔1100110111010=≮⫘↔10001001","layer":3},{"info":"≮⫘↔100110000011⨝⩣∺=≮⫘↔-1001100000110","layer":3},{"info":"≮⫘↔10001001⇡⇂≮⫘↔-1001100000110=≮⫘↔-10001100","layer":2},{"info":"≮⫘↔100010111110≬⋮≮⫘↔1000001000101=≮⫘↔1101100100","layer":3},{"info":"≇⪴≮⫘↔10011001010=≮⫘↔-100100100010","layer":3},{"info":"≮⫘↔1101100100≓∲≮⫘↔-100100100010=≮⫘↔110000011100101","layer":2},{"info":"≮⫘↔-10001100≹⇙⪍≮⫘↔110000011100101=NaN","layer":1},{"info":"≮⫘↔10001001∼NaN=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"(⇜⊴(≸$4742$)≹⇙⪍($5447$⇍⊗$1030$))⩵∡((≻⋜$1185$)⨽⪊≇)⊔($1477$⫁$1952$⪨≂(∓⪦$7635$))","expression":"(⇜⊴(≸≮⫘↔1001010000110)≹⇙⪍(≮⫘↔1010101000111⇍⊗≮⫘↔10000000110))⩵∡((≻⋜≮⫘↔10010100001)⨽⪊≇)⊔(≮⫘↔10111000101⫁≮⫘↔11110100000⪨≂(∓⪦≮⫘↔1110111010011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":66584,"operation_count":11,"complexity_ratio":6053.090909090909,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":4742,"base":2}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5447,"base":2},"right_expr":{"type":"numeric_atoms","value":1030,"base":2}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1185,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1477,"base":2},"right_expr":{"type":"numeric_atoms","value":1952,"base":2}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":7635,"base":2}}}}},"used_operators":["Y7wcNGrDQJ","XwDhCwWbUn","AHs5Up7iyr","eOf03JbCpp","5uvYHDjeKN","E4l6HwMY31","nlCqmYiOvY","3tj9sqzovi","sdazOOVcIp","0ajvFaJAv0","D309nIvmXG"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","dWAJyo7jo9","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4742","layer":4},{"info":"compute unary expreesion, input=4742, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=5447","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=5447, right_input=1030, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=-244, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":1},{"info":"number node, value=1185","layer":4},{"info":"compute unary expreesion, input=1185, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=nan","layer":2},{"info":"number node, value=1477","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1952, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=7635","layer":4},{"info":"compute unary expreesion, input=7635, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=7227","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=7227, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14032","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14032, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇜⊴(≸≮⫘↔1001010000110)≹⇙⪍(≮⫘↔1010101000111⇍⊗≮⫘↔10000000110))⩵∡((≻⋜≮⫘↔10010100001)⨽⪊≇)⊔(≮⫘↔10111000101⫁≮⫘↔11110100000⪨≂(∓⪦≮⫘↔1110111010011))=NaN","reverse_text":"NaN=(⇜⊴(≸≮⫘↔1001010000110)≹⇙⪍(≮⫘↔1010101000111⇍⊗≮⫘↔10000000110))⩵∡((≻⋜≮⫘↔10010100001)⨽⪊≇)⊔(≮⫘↔10111000101⫁≮⫘↔11110100000⪨≂(∓⪦≮⫘↔1110111010011))","cot":[{"info":"≸≮⫘↔1001010000110=≮⫘↔111010","layer":3},{"info":"≮⫘↔1010101000111⇍⊗≮⫘↔10000000110=≮⫘↔-11110100","layer":3},{"info":"≮⫘↔111010≹⇙⪍≮⫘↔-11110100=NaN","layer":2},{"info":"⇜⊴NaN=NaN","layer":1},{"info":"≻⋜≮⫘↔10010100001=NaN","layer":3},{"info":"NaN⨽⪊≇=NaN","layer":2},{"info":"≮⫘↔10111000101⫁≮⫘↔11110100000=≮⫘↔10100000","layer":3},{"info":"∓⪦≮⫘↔1110111010011=≮⫘↔1110000111011","layer":3},{"info":"≮⫘↔10100000⪨≂≮⫘↔1110000111011=≮⫘↔-11011011010000","layer":2},{"info":"NaN⊔≮⫘↔-11011011010000=NaN","layer":1},{"info":"NaN⩵∡NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"(($4095$⋻⩜⩜$1809$)⋭≵$2388$≹⇙⪍$3923$)⪭(↯⪼($8361$⪡$1729$))⇌⫙⪟(≱⇩⩕$1871$⨥⫆$1867$⪇≇⋚($7483$≣⋋))","expression":"((≮⫘↔111111111111⋻⩜⩜≮⫘↔11100010001)⋭≵≮⫘↔100101010100≹⇙⪍≮⫘↔111101010011)⪭(↯⪼(≮⫘↔10000010101001⪡≮⫘↔11011000001))⇌⫙⪟(≱⇩⩕≮⫘↔11101001111⨥⫆≮⫘↔11101001011⪇≇⋚(≮⫘↔1110100111011≣⋋))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26010,"operation_count":11,"complexity_ratio":2364.5454545454545,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4095,"base":2},"right_expr":{"type":"numeric_atoms","value":1809,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2388,"base":2},"right_expr":{"type":"numeric_atoms","value":3923,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":8361,"base":2},"right_expr":{"type":"numeric_atoms","value":1729,"base":2}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1871,"base":2},"right_expr":{"type":"numeric_atoms","value":1867,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":7483,"base":2}}}}},"used_operators":["AFVx7xoS7T","j9kHMeSvPp","jBncVCNhdl","oDCm7WA9JY","AHs5Up7iyr","8jW3W4yZS5","oraRL2iQuh","3DZMoQKiUl","3sJ7IOPOlU","yXekIHxTD4","Tcnh7f0tEr"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","COABgblf1C","xUOZtlo3hN","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"≮⫘↔1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4095","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=1809, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8190","layer":3},{"info":"number node, value=2388","layer":4},{"info":"number node, value=3923","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=3923, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8190, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=8361","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=8361, right_input=1729, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-21, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-241","layer":1},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1867, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3610","layer":3},{"info":"number node, value=7483","layer":4},{"info":"compute unary expreesion, input=7483, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3610, right_input=0, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-241, right_input=113, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111111111111⋻⩜⩜≮⫘↔11100010001)⋭≵≮⫘↔100101010100≹⇙⪍≮⫘↔111101010011)⪭(↯⪼(≮⫘↔10000010101001⪡≮⫘↔11011000001))⇌⫙⪟(≱⇩⩕≮⫘↔11101001111⨥⫆≮⫘↔11101001011⪇≇⋚(≮⫘↔1110100111011≣⋋))=≮⫘↔1110001","reverse_text":"≮⫘↔1110001=((≮⫘↔111111111111⋻⩜⩜≮⫘↔11100010001)⋭≵≮⫘↔100101010100≹⇙⪍≮⫘↔111101010011)⪭(↯⪼(≮⫘↔10000010101001⪡≮⫘↔11011000001))⇌⫙⪟(≱⇩⩕≮⫘↔11101001111⨥⫆≮⫘↔11101001011⪇≇⋚(≮⫘↔1110100111011≣⋋))","cot":[{"info":"≮⫘↔111111111111⋻⩜⩜≮⫘↔11100010001=≮⫘↔1111111111110","layer":3},{"info":"≮⫘↔100101010100≹⇙⪍≮⫘↔111101010011=NaN","layer":3},{"info":"≮⫘↔1111111111110⋭≵NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10000010101001⪡≮⫘↔11011000001=≮⫘↔1101011","layer":3},{"info":"↯⪼≮⫘↔1101011=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1000011⪭≮⫘↔-10101=≮⫘↔-11110001","layer":1},{"info":"≮⫘↔11101001111⨥⫆≮⫘↔11101001011=≮⫘↔111000011010","layer":3},{"info":"≮⫘↔1110100111011≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔111000011010⪇≇⋚≮⫘↔0=≮⫘↔0","layer":2},{"info":"≱⇩⩕≮⫘↔0=≮⫘↔1110001","layer":1},{"info":"≮⫘↔-11110001⇌⫙⪟≮⫘↔1110001=≮⫘↔1110001","layer":0}]}
{"id":820,"expression_no_base_symbol":"(↞≼($1468$≹⇙⪍$3363$))≴⪞⇿(($4397$⇴$4963$)⪘⨀)⊭∹↮","expression":"(↞≼(≮⫘↔10110111100≹⇙⪍≮⫘↔110100100011))≴⪞⇿((≮⫘↔1000100101101⇴≮⫘↔1001101100011)⪘⨀)⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":101,"operation_count":6,"complexity_ratio":16.833333333333332,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1468,"base":2},"right_expr":{"type":"numeric_atoms","value":3363,"base":2}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4397,"base":2},"right_expr":{"type":"numeric_atoms","value":4963,"base":2}}}}},"used_operators":["xNBdhnnwKq","lvlrscuwVU","DE7zCoGJt9","AHs5Up7iyr","aA7tF3KVD3","4JB6nKBMSY"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1468","layer":4},{"info":"number node, value=3363","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=3363, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"number node, value=4397","layer":4},{"info":"number node, value=4963","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=4963, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=35922","layer":3},{"info":"compute unary expreesion, input=35922, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-72425","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-72425, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↞≼(≮⫘↔10110111100≹⇙⪍≮⫘↔110100100011))≴⪞⇿((≮⫘↔1000100101101⇴≮⫘↔1001101100011)⪘⨀)⊭∹↮=NaN","reverse_text":"NaN=(↞≼(≮⫘↔10110111100≹⇙⪍≮⫘↔110100100011))≴⪞⇿((≮⫘↔1000100101101⇴≮⫘↔1001101100011)⪘⨀)⊭∹↮","cot":[{"info":"≮⫘↔10110111100≹⇙⪍≮⫘↔110100100011=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"≮⫘↔1000100101101⇴≮⫘↔1001101100011=≮⫘↔1000110001010010","layer":3},{"info":"≮⫘↔1000110001010010⪘⨀=≮⫘↔-10001101011101001","layer":2},{"info":"NaN≴⪞⇿≮⫘↔-10001101011101001=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"($4120$⪔⊥$7136$⩌⋺($1335$⫦⪉$1702$)≨((⨭⩧⫛$1265$)⪒$4845$⩇∃⫛$3908$))⨜⨶((⨈⫕$1020$⪭$3977$)⨰((↪⫪⫘$2575$)∲⫓($2499$⫩⊇)))","expression":"(≮⫘↔1000000011000⪔⊥≮⫘↔1101111100000⩌⋺(≮⫘↔10100110111⫦⪉≮⫘↔11010100110)≨((⨭⩧⫛≮⫘↔10011110001)⪒≮⫘↔1001011101101⩇∃⫛≮⫘↔111101000100))⨜⨶((⨈⫕≮⫘↔1111111100⪭≮⫘↔111110001001)⨰((↪⫪⫘≮⫘↔101000001111)∲⫓(≮⫘↔100111000011⫩⊇)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":27526,"operation_count":14,"complexity_ratio":1966.142857142857,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4120,"base":2},"right_expr":{"type":"numeric_atoms","value":7136,"base":2}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1335,"base":2},"right_expr":{"type":"numeric_atoms","value":1702,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1265,"base":2}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4845,"base":2},"right_expr":{"type":"numeric_atoms","value":3908,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":3977,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2575,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2499,"base":2}}}}},"used_operators":["HiPekx5b7W","0KMCeP1Jsh","g7Hmc5v1ko","HJ9erzHUuu","wscyQdcy20","f6k1SAg4EE","g21JL6JxX7","1aApVXNlOP","eewbuw0ToL","megm06wKyl","j9kHMeSvPp","i8ToyICDmI","9dWsAM3GFt","BjRHVeLaeN"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10111000010010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4120","layer":4},{"info":"number node, value=7136","layer":4},{"info":"compute binary expreesion, left_input=4120, right_input=7136, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2009","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1702, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2230","layer":3},{"info":"compute binary expreesion, left_input=2009, right_input=2230, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4360","layer":2},{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=4845","layer":4},{"info":"number node, value=3908","layer":4},{"info":"compute binary expreesion, left_input=4845, right_input=3908, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-464","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-464, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4360, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=9376","layer":1},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3977","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3977, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=2575","layer":4},{"info":"compute unary expreesion, input=2575, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=2499","layer":4},{"info":"compute unary expreesion, input=2499, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2457","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-2457, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=20, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-31","layer":1},{"info":"compute binary expreesion, left_input=9376, right_input=-31, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=94357","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000000011000⪔⊥≮⫘↔1101111100000⩌⋺(≮⫘↔10100110111⫦⪉≮⫘↔11010100110)≨((⨭⩧⫛≮⫘↔10011110001)⪒≮⫘↔1001011101101⩇∃⫛≮⫘↔111101000100))⨜⨶((⨈⫕≮⫘↔1111111100⪭≮⫘↔111110001001)⨰((↪⫪⫘≮⫘↔101000001111)∲⫓(≮⫘↔100111000011⫩⊇)))=≮⫘↔10111000010010101","reverse_text":"≮⫘↔10111000010010101=(≮⫘↔1000000011000⪔⊥≮⫘↔1101111100000⩌⋺(≮⫘↔10100110111⫦⪉≮⫘↔11010100110)≨((⨭⩧⫛≮⫘↔10011110001)⪒≮⫘↔1001011101101⩇∃⫛≮⫘↔111101000100))⨜⨶((⨈⫕≮⫘↔1111111100⪭≮⫘↔111110001001)⨰((↪⫪⫘≮⫘↔101000001111)∲⫓(≮⫘↔100111000011⫩⊇)))","cot":[{"info":"≮⫘↔1000000011000⪔⊥≮⫘↔1101111100000=≮⫘↔11111011001","layer":3},{"info":"≮⫘↔10100110111⫦⪉≮⫘↔11010100110=≮⫘↔100010110110","layer":3},{"info":"≮⫘↔11111011001⩌⋺≮⫘↔100010110110=≮⫘↔-1000100001000","layer":2},{"info":"⨭⩧⫛≮⫘↔10011110001=NaN","layer":3},{"info":"≮⫘↔1001011101101⩇∃⫛≮⫘↔111101000100=≮⫘↔-111010000","layer":3},{"info":"NaN⪒≮⫘↔-111010000=NaN","layer":2},{"info":"≮⫘↔-1000100001000≨NaN=≮⫘↔10010010100000","layer":1},{"info":"≮⫘↔1111111100⪭≮⫘↔111110001001=≮⫘↔101","layer":3},{"info":"⨈⫕≮⫘↔101=≮⫘↔-10101","layer":2},{"info":"↪⫪⫘≮⫘↔101000001111=≮⫘↔10100","layer":3},{"info":"≮⫘↔100111000011⫩⊇=≮⫘↔-100110011001","layer":3},{"info":"≮⫘↔10100∲⫓≮⫘↔-100110011001=≮⫘↔10100","layer":2},{"info":"≮⫘↔-10101⨰≮⫘↔10100=≮⫘↔-11111","layer":1},{"info":"≮⫘↔10010010100000⨜⨶≮⫘↔-11111=≮⫘↔10111000010010101","layer":0}]}
{"id":822,"expression_no_base_symbol":"((($1652$⇡)⪒(∓$6077$))⩺⋐⫨)⋛(($1683$⊹∫⫚$2208$)≁($3633$∘$2222$))⪟⇏($1935$⩇∃⫛$2157$⪉⨛$3643$∓⋝$3549$)","expression":"(((≮⫘↔11001110100⇡)⪒(∓≮⫘↔1011110111101))⩺⋐⫨)⋛((≮⫘↔11010010011⊹∫⫚≮⫘↔100010100000)≁(≮⫘↔111000110001∘≮⫘↔100010101110))⪟⇏(≮⫘↔11110001111⩇∃⫛≮⫘↔100001101101⪉⨛≮⫘↔111000111011∓⋝≮⫘↔110111011101)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1128,"operation_count":12,"complexity_ratio":94.0,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":1652,"base":2}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":6077,"base":2}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1683,"base":2},"right_expr":{"type":"numeric_atoms","value":2208,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3633,"base":2},"right_expr":{"type":"numeric_atoms","value":2222,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1935,"base":2},"right_expr":{"type":"numeric_atoms","value":2157,"base":2}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3643,"base":2},"right_expr":{"type":"numeric_atoms","value":3549,"base":2}}}}},"used_operators":["YbUVn0Rbpy","yS9ePUuUdn","f6k1SAg4EE","UqFzSgLMvQ","OwUj7dcsQK","GODebY97qR","8N2wDY1A35","uWAJUKEvyW","Z5m6OM72h2","EWw2JM7wp4","1aApVXNlOP","PoHhknlbAi"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"≮⫘↔-11110010100100101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=6077","layer":4},{"info":"compute unary expreesion, input=6077, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-96027","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=-96027, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=98944","layer":2},{"info":"compute unary expreesion, input=98944, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"number node, value=1683","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=2208, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-276","layer":3},{"info":"number node, value=3633","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=2222, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7266","layer":3},{"info":"compute binary expreesion, left_input=-276, right_input=7266, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=161183","layer":2},{"info":"number node, value=1935","layer":4},{"info":"number node, value=2157","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=2157, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=695","layer":3},{"info":"number node, value=3643","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=3643, right_input=3549, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=695, right_input=67, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2233","layer":2},{"info":"compute binary expreesion, left_input=161183, right_input=2233, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-124197","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11001110100⇡)⪒(∓≮⫘↔1011110111101))⩺⋐⫨)⋛((≮⫘↔11010010011⊹∫⫚≮⫘↔100010100000)≁(≮⫘↔111000110001∘≮⫘↔100010101110))⪟⇏(≮⫘↔11110001111⩇∃⫛≮⫘↔100001101101⪉⨛≮⫘↔111000111011∓⋝≮⫘↔110111011101)=≮⫘↔-11110010100100101","reverse_text":"≮⫘↔-11110010100100101=(((≮⫘↔11001110100⇡)⪒(∓≮⫘↔1011110111101))⩺⋐⫨)⋛((≮⫘↔11010010011⊹∫⫚≮⫘↔100010100000)≁(≮⫘↔111000110001∘≮⫘↔100010101110))⪟⇏(≮⫘↔11110001111⩇∃⫛≮⫘↔100001101101⪉⨛≮⫘↔111000111011∓⋝≮⫘↔110111011101)","cot":[{"info":"≮⫘↔11001110100⇡=≮⫘↔-101101100101","layer":3},{"info":"∓≮⫘↔1011110111101=≮⫘↔-10111011100011011","layer":3},{"info":"≮⫘↔-101101100101⪒≮⫘↔-10111011100011011=≮⫘↔11000001010000000","layer":2},{"info":"≮⫘↔11000001010000000⩺⋐⫨=≮⫘↔0","layer":1},{"info":"≮⫘↔11010010011⊹∫⫚≮⫘↔100010100000=≮⫘↔-100010100","layer":3},{"info":"≮⫘↔111000110001∘≮⫘↔100010101110=≮⫘↔1110001100010","layer":3},{"info":"≮⫘↔-100010100≁≮⫘↔1110001100010=≮⫘↔100111010110011111","layer":2},{"info":"≮⫘↔11110001111⩇∃⫛≮⫘↔100001101101=≮⫘↔1010110111","layer":3},{"info":"≮⫘↔111000111011∓⋝≮⫘↔110111011101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1010110111⪉⨛≮⫘↔1000011=≮⫘↔100010111001","layer":2},{"info":"≮⫘↔100111010110011111⪟⇏≮⫘↔100010111001=≮⫘↔-1","layer":1},{"info":"≮⫘↔0⋛≮⫘↔-1=≮⫘↔-11110010100100101","layer":0}]}
{"id":823,"expression_no_base_symbol":"($1744$⊋$1009$≳⇉$1197$⊲⩕⊾$2423$)⊕∕(⇋⊎⋝(⨵$2230$))⨳⩥⨓(⋣($1006$⨫⇇↔$5788$≥⨤⩑$1668$⪨⊡$1847$))","expression":"(≮⫘↔11011010000⊋≮⫘↔1111110001≳⇉≮⫘↔10010101101⊲⩕⊾≮⫘↔100101110111)⊕∕(⇋⊎⋝(⨵≮⫘↔100010110110))⨳⩥⨓(⋣(≮⫘↔1111101110⨫⇇↔≮⫘↔1011010011100≥⨤⩑≮⫘↔11010000100⪨⊡≮⫘↔11100110111))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":101002,"operation_count":11,"complexity_ratio":9182.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1744,"base":2},"right_expr":{"type":"numeric_atoms","value":1009,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1197,"base":2},"right_expr":{"type":"numeric_atoms","value":2423,"base":2}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2230,"base":2}}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1006,"base":2},"right_expr":{"type":"numeric_atoms","value":5788,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1668,"base":2},"right_expr":{"type":"numeric_atoms","value":1847,"base":2}}}}},"used_operators":["nCS4ZIUYfx","9cloC0Ngie","V0kx6qeWkN","W4tP9CfskL","DmTXOeWf9t","CzM2PEoXns","Tl3Y52tvF8","zQWRhDnn8F","gJLn6v0xnP","LXhwmt4mBO","kuIXHzHcAH"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1744","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=1009, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=5749272","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=2423, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-40012","layer":3},{"info":"compute binary expreesion, left_input=5749272, right_input=-40012, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=2230","layer":4},{"info":"compute unary expreesion, input=2230, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-19049","layer":3},{"info":"compute unary expreesion, input=-19049, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"number node, value=1006","layer":4},{"info":"number node, value=5788","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=5788, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=1847, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-362701","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-362701, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11011010000⊋≮⫘↔1111110001≳⇉≮⫘↔10010101101⊲⩕⊾≮⫘↔100101110111)⊕∕(⇋⊎⋝(⨵≮⫘↔100010110110))⨳⩥⨓(⋣(≮⫘↔1111101110⨫⇇↔≮⫘↔1011010011100≥⨤⩑≮⫘↔11010000100⪨⊡≮⫘↔11100110111))=NaN","reverse_text":"NaN=(≮⫘↔11011010000⊋≮⫘↔1111110001≳⇉≮⫘↔10010101101⊲⩕⊾≮⫘↔100101110111)⊕∕(⇋⊎⋝(⨵≮⫘↔100010110110))⨳⩥⨓(⋣(≮⫘↔1111101110⨫⇇↔≮⫘↔1011010011100≥⨤⩑≮⫘↔11010000100⪨⊡≮⫘↔11100110111))","cot":[{"info":"≮⫘↔11011010000⊋≮⫘↔1111110001=≮⫘↔10101111011101000011000","layer":3},{"info":"≮⫘↔10010101101⊲⩕⊾≮⫘↔100101110111=≮⫘↔-1001110001001100","layer":3},{"info":"≮⫘↔10101111011101000011000≳⇉≮⫘↔-1001110001001100=NaN","layer":2},{"info":"⨵≮⫘↔100010110110=≮⫘↔-100101001101001","layer":3},{"info":"⇋⊎⋝≮⫘↔-100101001101001=NaN","layer":2},{"info":"NaN⊕∕NaN=NaN","layer":1},{"info":"≮⫘↔1111101110⨫⇇↔≮⫘↔1011010011100=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔11010000100⪨⊡≮⫘↔11100110111=≮⫘↔0","layer":3},{"info":"≮⫘↔-1000001111≥⨤⩑≮⫘↔0=≮⫘↔10011010010","layer":2},{"info":"⋣≮⫘↔10011010010=≮⫘↔-1011000100011001101","layer":1},{"info":"NaN⨳⩥⨓≮⫘↔-1011000100011001101=NaN","layer":0}]}
{"id":824,"expression_no_base_symbol":"(⊑(⨡↴$4939$⨿$1360$))∺≝⩲(($2557$⫢⨠$5032$)⊵↤)⋹⋡⊁((≑⋹$7116$)⩷∴($3385$⩒⫫$3795$))","expression":"(⊑(⨡↴≮⫘↔1001101001011⨿≮⫘↔10101010000))∺≝⩲((≮⫘↔100111111101⫢⨠≮⫘↔1001110101000)⊵↤)⋹⋡⊁((≑⋹≮⫘↔1101111001100)⩷∴(≮⫘↔110100111001⩒⫫≮⫘↔111011010011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":895,"operation_count":10,"complexity_ratio":89.5,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4939,"base":2},"right_expr":{"type":"numeric_atoms","value":1360,"base":2}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2557,"base":2},"right_expr":{"type":"numeric_atoms","value":5032,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":7116,"base":2}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3385,"base":2},"right_expr":{"type":"numeric_atoms","value":3795,"base":2}}}}},"used_operators":["KPf6cnQVty","IkUmn0D7oy","liw5iZPkLH","abYXlopdE0","As8RqfVLgs","7IPrd9c3lf","xlXykHWxX1","9FxExcQeMw","6B9nyZLogK","KFSx94NKJn"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","W4YGzv6Whe","P8v4zCKN1o","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4939","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=4939, right_input=1360, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=730","layer":2},{"info":"compute unary expreesion, input=730, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=2557","layer":4},{"info":"number node, value=5032","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=5032, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=270","layer":2},{"info":"number node, value=7116","layer":4},{"info":"compute unary expreesion, input=7116, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=3385","layer":4},{"info":"number node, value=3795","layer":4},{"info":"compute binary expreesion, left_input=3385, right_input=3795, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3083","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=3083, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2898","layer":2},{"info":"compute binary expreesion, left_input=270, right_input=-2898, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=16983","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=16983, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⊑(⨡↴≮⫘↔1001101001011⨿≮⫘↔10101010000))∺≝⩲((≮⫘↔100111111101⫢⨠≮⫘↔1001110101000)⊵↤)⋹⋡⊁((≑⋹≮⫘↔1101111001100)⩷∴(≮⫘↔110100111001⩒⫫≮⫘↔111011010011))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⊑(⨡↴≮⫘↔1001101001011⨿≮⫘↔10101010000))∺≝⩲((≮⫘↔100111111101⫢⨠≮⫘↔1001110101000)⊵↤)⋹⋡⊁((≑⋹≮⫘↔1101111001100)⩷∴(≮⫘↔110100111001⩒⫫≮⫘↔111011010011))","cot":[{"info":"≮⫘↔1001101001011⨿≮⫘↔10101010000=≮⫘↔-100111111","layer":3},{"info":"⨡↴≮⫘↔-100111111=≮⫘↔1011011010","layer":2},{"info":"⊑≮⫘↔1011011010=≮⫘↔11000000","layer":1},{"info":"≮⫘↔100111111101⫢⨠≮⫘↔1001110101000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⊵↤=≮⫘↔100001110","layer":2},{"info":"≑⋹≮⫘↔1101111001100=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔110100111001⩒⫫≮⫘↔111011010011=≮⫘↔110000001011","layer":3},{"info":"≮⫘↔11001110010⩷∴≮⫘↔110000001011=≮⫘↔-101101010010","layer":2},{"info":"≮⫘↔100001110⋹⋡⊁≮⫘↔-101101010010=≮⫘↔100001001010111","layer":1},{"info":"≮⫘↔11000000∺≝⩲≮⫘↔100001001010111=≮⫘↔10100000","layer":0}]}
{"id":825,"expression_no_base_symbol":"(($3223$⨱∎)⨲∙)≀⩗∶(∥⊫$7022$⫁$3796$)⪒($5976$⨑⩅≇$1773$⨑⩅≇(⫵↿$3609$)⩎⪣⊞)","expression":"((≮⫘↔110010010111⨱∎)⨲∙)≀⩗∶(∥⊫≮⫘↔1101101101110⫁≮⫘↔111011010100)⪒(≮⫘↔1011101011000⨑⩅≇≮⫘↔11011101101⨑⩅≇(⫵↿≮⫘↔111000011001)⩎⪣⊞)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3298,"operation_count":10,"complexity_ratio":329.8,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":3223,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":7022,"base":2},"right_expr":{"type":"numeric_atoms","value":3796,"base":2}}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5976,"base":2},"right_expr":{"type":"numeric_atoms","value":1773,"base":2}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":3609,"base":2}}}}},"used_operators":["f6k1SAg4EE","8INZBEW696","cRahaglYVE","MmTdOpaElr","P8v4zCKN1o","0ajvFaJAv0","waWucp1uQ4","h92wMvzauj","ivGwdmUAux"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","mp7IySMOzn","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a"],"result":"≮⫘↔1101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3223","layer":4},{"info":"compute unary expreesion, input=3223, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=4417836","layer":2},{"info":"number node, value=7022","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=7022, right_input=3796, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1028","layer":2},{"info":"compute binary expreesion, left_input=4417836, right_input=1028, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"number node, value=5976","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=5976, right_input=1773, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-17928","layer":3},{"info":"number node, value=3609","layer":4},{"info":"compute unary expreesion, input=3609, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=-17928, right_input=137, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=-110","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-110, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=110","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110010010111⨱∎)⨲∙)≀⩗∶(∥⊫≮⫘↔1101101101110⫁≮⫘↔111011010100)⪒(≮⫘↔1011101011000⨑⩅≇≮⫘↔11011101101⨑⩅≇(⫵↿≮⫘↔111000011001)⩎⪣⊞)=≮⫘↔1101110","reverse_text":"≮⫘↔1101110=((≮⫘↔110010010111⨱∎)⨲∙)≀⩗∶(∥⊫≮⫘↔1101101101110⫁≮⫘↔111011010100)⪒(≮⫘↔1011101011000⨑⩅≇≮⫘↔11011101101⨑⩅≇(⫵↿≮⫘↔111000011001)⩎⪣⊞)","cot":[{"info":"≮⫘↔110010010111⨱∎=≮⫘↔0","layer":3},{"info":"≮⫘↔0⨲∙=≮⫘↔10000110110100100101100","layer":2},{"info":"≮⫘↔1101101101110⫁≮⫘↔111011010100=≮⫘↔10100000","layer":3},{"info":"∥⊫≮⫘↔10100000=≮⫘↔10000000100","layer":2},{"info":"≮⫘↔10000110110100100101100≀⩗∶≮⫘↔10000000100=≮⫘↔0","layer":1},{"info":"≮⫘↔1011101011000⨑⩅≇≮⫘↔11011101101=≮⫘↔-100011000001000","layer":3},{"info":"⫵↿≮⫘↔111000011001=≮⫘↔10001001","layer":3},{"info":"≮⫘↔-100011000001000⨑⩅≇≮⫘↔10001001=≮⫘↔-110111","layer":2},{"info":"≮⫘↔-110111⩎⪣⊞=≮⫘↔-1101110","layer":1},{"info":"≮⫘↔0⪒≮⫘↔-1101110=≮⫘↔1101110","layer":0}]}
{"id":826,"expression_no_base_symbol":"((($3452$⨸⪁$1891$)⇮⋭$4769$∇⊂⋱$1119$)⊝⪿⪼($4808$∴$3224$⨔≚≋($3121$⨲∙)))⫗⊷⫓(⪝⪂⫅($6910$⨟⋌⩍$2585$)⇍⊗($4777$⩒⫫$5235$))","expression":"(((≮⫘↔110101111100⨸⪁≮⫘↔11101100011)⇮⋭≮⫘↔1001010100001∇⊂⋱≮⫘↔10001011111)⊝⪿⪼(≮⫘↔1001011001000∴≮⫘↔110010011000⨔≚≋(≮⫘↔110000110001⨲∙)))⫗⊷⫓(⪝⪂⫅(≮⫘↔1101011111110⨟⋌⩍≮⫘↔101000011001)⇍⊗(≮⫘↔1001010101001⩒⫫≮⫘↔1010001110011))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1465,"operation_count":12,"complexity_ratio":122.08333333333333,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3452,"base":2},"right_expr":{"type":"numeric_atoms","value":1891,"base":2}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4769,"base":2},"right_expr":{"type":"numeric_atoms","value":1119,"base":2}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4808,"base":2},"right_expr":{"type":"numeric_atoms","value":3224,"base":2}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":3121,"base":2}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6910,"base":2},"right_expr":{"type":"numeric_atoms","value":2585,"base":2}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4777,"base":2},"right_expr":{"type":"numeric_atoms","value":5235,"base":2}}}}},"used_operators":["zashukvMKz","3Oe9XWJUTD","vkpjKywKVM","g55IO6H4Gj","nhYeJWJD5X","Z57zeUYC9z","hrf7POJlIJ","cRahaglYVE","XTarYq4gQB","5uvYHDjeKN","rGHVDoGpnC","KFSx94NKJn"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","9HNa5Wba9A","8w2t5hMYqp","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Tcnh7f0tEr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3452","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=1891, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10686","layer":3},{"info":"number node, value=4769","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=1119, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=8992","layer":3},{"info":"compute binary expreesion, left_input=10686, right_input=8992, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"number node, value=4808","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=4808, right_input=3224, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11264","layer":3},{"info":"number node, value=3121","layer":4},{"info":"compute unary expreesion, input=3121, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=40288210","layer":3},{"info":"compute binary expreesion, left_input=11264, right_input=40288210, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=9872, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=2837","layer":1},{"info":"number node, value=6910","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=6910, right_input=2585, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4777","layer":4},{"info":"number node, value=5235","layer":4},{"info":"compute binary expreesion, left_input=4777, right_input=5235, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4475","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4475, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=35868","layer":1},{"info":"compute binary expreesion, left_input=2837, right_input=35868, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔110101111100⨸⪁≮⫘↔11101100011)⇮⋭≮⫘↔1001010100001∇⊂⋱≮⫘↔10001011111)⊝⪿⪼(≮⫘↔1001011001000∴≮⫘↔110010011000⨔≚≋(≮⫘↔110000110001⨲∙)))⫗⊷⫓(⪝⪂⫅(≮⫘↔1101011111110⨟⋌⩍≮⫘↔101000011001)⇍⊗(≮⫘↔1001010101001⩒⫫≮⫘↔1010001110011))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=(((≮⫘↔110101111100⨸⪁≮⫘↔11101100011)⇮⋭≮⫘↔1001010100001∇⊂⋱≮⫘↔10001011111)⊝⪿⪼(≮⫘↔1001011001000∴≮⫘↔110010011000⨔≚≋(≮⫘↔110000110001⨲∙)))⫗⊷⫓(⪝⪂⫅(≮⫘↔1101011111110⨟⋌⩍≮⫘↔101000011001)⇍⊗(≮⫘↔1001010101001⩒⫫≮⫘↔1010001110011))","cot":[{"info":"≮⫘↔110101111100⨸⪁≮⫘↔11101100011=≮⫘↔10100110111110","layer":3},{"info":"≮⫘↔1001010100001∇⊂⋱≮⫘↔10001011111=≮⫘↔10001100100000","layer":3},{"info":"≮⫘↔10100110111110⇮⋭≮⫘↔10001100100000=≮⫘↔-111011001","layer":2},{"info":"≮⫘↔1001011001000∴≮⫘↔110010011000=≮⫘↔10110000000000","layer":3},{"info":"≮⫘↔110000110001⨲∙=≮⫘↔10011001101011111111010010","layer":3},{"info":"≮⫘↔10110000000000⨔≚≋≮⫘↔10011001101011111111010010=≮⫘↔10011010010000","layer":2},{"info":"≮⫘↔-111011001⊝⪿⪼≮⫘↔10011010010000=≮⫘↔101100010101","layer":1},{"info":"≮⫘↔1101011111110⨟⋌⩍≮⫘↔101000011001=NaN","layer":3},{"info":"≮⫘↔1001010101001⩒⫫≮⫘↔1010001110011=≮⫘↔1000101111011","layer":3},{"info":"NaN⇍⊗≮⫘↔1000101111011=≮⫘↔-11110100","layer":2},{"info":"⪝⪂⫅≮⫘↔-11110100=≮⫘↔1000110000011100","layer":1},{"info":"≮⫘↔101100010101⫗⊷⫓≮⫘↔1000110000011100=≮⫘↔-10000110","layer":0}]}
{"id":827,"expression_no_base_symbol":"(-$1229$⊕∕$1368$⪄(⇋⊎⋝$1015$))*(↯⪼(⪲⇎$3063$)⨽∌($2226$⪨⊡$3160$))","expression":"(-≮⫘↔10011001101⊕∕≮⫘↔10101011000⪄(⇋⊎⋝≮⫘↔1111110111))*(↯⪼(⪲⇎≮⫘↔101111110111)⨽∌(≮⫘↔100010110010⪨⊡≮⫘↔110001011000))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1214,"operation_count":9,"complexity_ratio":134.88888888888889,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1229,"base":2},"right_expr":{"type":"numeric_atoms","value":1368,"base":2}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1015,"base":2}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3063,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2226,"base":2},"right_expr":{"type":"numeric_atoms","value":3160,"base":2}}}}},"used_operators":["9HNa5Wba9A","t8gj7n24qd","SUmda5xLS4","9cloC0Ngie","CzM2PEoXns","8jW3W4yZS5","9samAPKr6k","XPYlsWDdGa","kuIXHzHcAH"],"dependent_operators":["W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","dWAJyo7jo9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1229","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=1368, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1229","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1229, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=3063","layer":4},{"info":"compute unary expreesion, input=3063, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6126","layer":3},{"info":"number node, value=2226","layer":4},{"info":"number node, value=3160","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=3160, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6126, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(-≮⫘↔10011001101⊕∕≮⫘↔10101011000⪄(⇋⊎⋝≮⫘↔1111110111))*(↯⪼(⪲⇎≮⫘↔101111110111)⨽∌(≮⫘↔100010110010⪨⊡≮⫘↔110001011000))=NaN","reverse_text":"NaN=(-≮⫘↔10011001101⊕∕≮⫘↔10101011000⪄(⇋⊎⋝≮⫘↔1111110111))*(↯⪼(⪲⇎≮⫘↔101111110111)⨽∌(≮⫘↔100010110010⪨⊡≮⫘↔110001011000))","cot":[{"info":"≮⫘↔10011001101⊕∕≮⫘↔10101011000=≮⫘↔10011001101","layer":3},{"info":"⇋⊎⋝≮⫘↔1111110111=NaN","layer":3},{"info":"≮⫘↔10011001101⪄NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⪲⇎≮⫘↔101111110111=≮⫘↔1011111101110","layer":3},{"info":"≮⫘↔100010110010⪨⊡≮⫘↔110001011000=≮⫘↔0","layer":3},{"info":"≮⫘↔1011111101110⨽∌≮⫘↔0=NaN","layer":2},{"info":"↯⪼NaN=≮⫘↔-10101","layer":1},{"info":"NaN*≮⫘↔-10101=NaN","layer":0}]}
{"id":828,"expression_no_base_symbol":"(($5367$⊟⇱)⪄(≻⋜$3038$))⨔⇊($1876$≠≀$2739$≀⩗∶$1124$⨎$3548$)∠↢((⨈⪑(⨈⫕$1227$))⪨≂(⩷⨜⫀$2807$)↡⊰⫅$2576$⨥⫆$1447$)","expression":"((≮⫘↔1010011110111⊟⇱)⪄(≻⋜≮⫘↔101111011110))⨔⇊(≮⫘↔11101010100≠≀≮⫘↔101010110011≀⩗∶≮⫘↔10001100100⨎≮⫘↔110111011100)∠↢((⨈⪑(⨈⫕≮⫘↔10011001011))⪨≂(⩷⨜⫀≮⫘↔101011110111)↡⊰⫅≮⫘↔101000010000⨥⫆≮⫘↔10110100111)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54210,"operation_count":14,"complexity_ratio":3872.1428571428573,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":5367,"base":2}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3038,"base":2}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1876,"base":2},"right_expr":{"type":"numeric_atoms","value":2739,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1124,"base":2},"right_expr":{"type":"numeric_atoms","value":3548,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1227,"base":2}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2807,"base":2}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2576,"base":2},"right_expr":{"type":"numeric_atoms","value":1447,"base":2}}}}},"used_operators":["KbjG8mgYpV","JclMnS0uGI","SUmda5xLS4","03sUfWo75k","3tj9sqzovi","8INZBEW696","IwW236VD4Y","rJVOvQCfKK","sdazOOVcIp","mp94q5OcYM","megm06wKyl","VCtxkLNOzz","CDi0ktkjQ4","yXekIHxTD4"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","IWmyXbctLI","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","ruOEQAzv1W","nhYeJWJD5X","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≮⫘↔11111110110001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5367","layer":4},{"info":"compute unary expreesion, input=5367, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=11050","layer":3},{"info":"number node, value=3038","layer":4},{"info":"compute unary expreesion, input=3038, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11050, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=1876","layer":4},{"info":"number node, value=2739","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=2739, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3446","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=3548, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3548","layer":3},{"info":"compute binary expreesion, left_input=-3446, right_input=3548, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=6","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6","layer":1},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=2807","layer":4},{"info":"compute unary expreesion, input=2807, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2534","layer":3},{"info":"number node, value=2576","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=1447, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2770","layer":3},{"info":"compute binary expreesion, left_input=-2534, right_input=2770, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5540","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=5540, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9242","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=-9242, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=130446","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010011110111⊟⇱)⪄(≻⋜≮⫘↔101111011110))⨔⇊(≮⫘↔11101010100≠≀≮⫘↔101010110011≀⩗∶≮⫘↔10001100100⨎≮⫘↔110111011100)∠↢((⨈⪑(⨈⫕≮⫘↔10011001011))⪨≂(⩷⨜⫀≮⫘↔101011110111)↡⊰⫅≮⫘↔101000010000⨥⫆≮⫘↔10110100111)=≮⫘↔11111110110001110","reverse_text":"≮⫘↔11111110110001110=((≮⫘↔1010011110111⊟⇱)⪄(≻⋜≮⫘↔101111011110))⨔⇊(≮⫘↔11101010100≠≀≮⫘↔101010110011≀⩗∶≮⫘↔10001100100⨎≮⫘↔110111011100)∠↢((⨈⪑(⨈⫕≮⫘↔10011001011))⪨≂(⩷⨜⫀≮⫘↔101011110111)↡⊰⫅≮⫘↔101000010000⨥⫆≮⫘↔10110100111)","cot":[{"info":"≮⫘↔1010011110111⊟⇱=≮⫘↔10101100101010","layer":3},{"info":"≻⋜≮⫘↔101111011110=NaN","layer":3},{"info":"≮⫘↔10101100101010⪄NaN=NaN","layer":2},{"info":"≮⫘↔11101010100≠≀≮⫘↔101010110011=≮⫘↔-110101110110","layer":3},{"info":"≮⫘↔10001100100⨎≮⫘↔110111011100=≮⫘↔110111011100","layer":3},{"info":"≮⫘↔-110101110110≀⩗∶≮⫘↔110111011100=≮⫘↔110","layer":2},{"info":"NaN⨔⇊≮⫘↔110=≮⫘↔110","layer":1},{"info":"⨈⫕≮⫘↔10011001011=≮⫘↔-10101","layer":3},{"info":"⨈⪑≮⫘↔-10101=≮⫘↔1101100100","layer":2},{"info":"⩷⨜⫀≮⫘↔101011110111=≮⫘↔-100111100110","layer":3},{"info":"≮⫘↔101000010000⨥⫆≮⫘↔10110100111=≮⫘↔101011010010","layer":3},{"info":"≮⫘↔-100111100110↡⊰⫅≮⫘↔101011010010=≮⫘↔1010110100100","layer":2},{"info":"≮⫘↔1101100100⪨≂≮⫘↔1010110100100=≮⫘↔-10010000011010","layer":1},{"info":"≮⫘↔110∠↢≮⫘↔-10010000011010=≮⫘↔11111110110001110","layer":0}]}
{"id":829,"expression_no_base_symbol":"(($1478$⪶≀⋏$6358$)⨪↰⇹$2475$⪟⇏$4827$)⪪($4105$∪⫐$4601$)⊢($1416$⨀⨒)∝(⨈⫕(⫎≠⋺(∤↝$1868$)))","expression":"((≮⫘↔10111000110⪶≀⋏≮⫘↔1100011010110)⨪↰⇹≮⫘↔100110101011⪟⇏≮⫘↔1001011011011)⪪(≮⫘↔1000000001001∪⫐≮⫘↔1000111111001)⊢(≮⫘↔10110001000⨀⨒)∝(⨈⫕(⫎≠⋺(∤↝≮⫘↔11101001100)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":74843,"operation_count":11,"complexity_ratio":6803.909090909091,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1478,"base":2},"right_expr":{"type":"numeric_atoms","value":6358,"base":2}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2475,"base":2},"right_expr":{"type":"numeric_atoms","value":4827,"base":2}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4105,"base":2},"right_expr":{"type":"numeric_atoms","value":4601,"base":2}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":1416,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1868,"base":2}}}}},"used_operators":["cTDWOvIxvz","xD69zh8xqp","tmPS8pqC7x","zR4jO40bMj","GODebY97qR","5twsqlHp2o","7YooWSwCyH","j6NVkjMzuk","megm06wKyl","LYeZOJ0nQG","3UMq87Qwqg"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rJVOvQCfKK","2DDjHMKMc0","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"≮⫘↔-1010111000101101111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":4},{"info":"number node, value=6358","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=6358, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17382","layer":3},{"info":"number node, value=2475","layer":4},{"info":"number node, value=4827","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=4827, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-17382, right_input=-1, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-17382","layer":2},{"info":"number node, value=4105","layer":4},{"info":"number node, value=4601","layer":4},{"info":"compute binary expreesion, left_input=4105, right_input=4601, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4105","layer":3},{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=16556","layer":3},{"info":"compute binary expreesion, left_input=4105, right_input=16556, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8454","layer":2},{"info":"compute binary expreesion, left_input=-17382, right_input=-8454, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-2853764","layer":1},{"info":"number node, value=1868","layer":4},{"info":"compute unary expreesion, input=1868, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1868","layer":3},{"info":"compute unary expreesion, input=1868, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-2853764, right_input=-21, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-2853759","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111000110⪶≀⋏≮⫘↔1100011010110)⨪↰⇹≮⫘↔100110101011⪟⇏≮⫘↔1001011011011)⪪(≮⫘↔1000000001001∪⫐≮⫘↔1000111111001)⊢(≮⫘↔10110001000⨀⨒)∝(⨈⫕(⫎≠⋺(∤↝≮⫘↔11101001100)))=≮⫘↔-1010111000101101111111","reverse_text":"≮⫘↔-1010111000101101111111=((≮⫘↔10111000110⪶≀⋏≮⫘↔1100011010110)⨪↰⇹≮⫘↔100110101011⪟⇏≮⫘↔1001011011011)⪪(≮⫘↔1000000001001∪⫐≮⫘↔1000111111001)⊢(≮⫘↔10110001000⨀⨒)∝(⨈⫕(⫎≠⋺(∤↝≮⫘↔11101001100)))","cot":[{"info":"≮⫘↔10111000110⪶≀⋏≮⫘↔1100011010110=≮⫘↔-100001111100110","layer":3},{"info":"≮⫘↔100110101011⪟⇏≮⫘↔1001011011011=≮⫘↔-1","layer":3},{"info":"≮⫘↔-100001111100110⨪↰⇹≮⫘↔-1=≮⫘↔-100001111100110","layer":2},{"info":"≮⫘↔1000000001001∪⫐≮⫘↔1000111111001=≮⫘↔1000000001001","layer":3},{"info":"≮⫘↔10110001000⨀⨒=≮⫘↔100000010101100","layer":3},{"info":"≮⫘↔1000000001001⊢≮⫘↔100000010101100=≮⫘↔-10000100000110","layer":2},{"info":"≮⫘↔-100001111100110⪪≮⫘↔-10000100000110=≮⫘↔-1010111000101110000100","layer":1},{"info":"∤↝≮⫘↔11101001100=≮⫘↔11101001100","layer":3},{"info":"⫎≠⋺≮⫘↔11101001100=≮⫘↔0","layer":2},{"info":"⨈⫕≮⫘↔0=≮⫘↔-10101","layer":1},{"info":"≮⫘↔-1010111000101110000100∝≮⫘↔-10101=≮⫘↔-1010111000101101111111","layer":0}]}
{"id":830,"expression_no_base_symbol":"⪲⇎((⨝⨆$1940$)⇚⪠)+⪬∐(⨞⊢$4639$⫯⪬∳$1564$)","expression":"⪲⇎((⨝⨆≮⫘↔11110010100)⇚⪠)+⪬∐(⨞⊢≮⫘↔1001000011111⫯⪬∳≮⫘↔11000011100)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1769,"operation_count":6,"complexity_ratio":294.8333333333333,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1940,"base":2}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4639,"base":2},"right_expr":{"type":"numeric_atoms","value":1564,"base":2}}}}},"used_operators":["XPYlsWDdGa","2GS7woTJqF","Loh9y4A90B","bQ67fsrMVf","xUOZtlo3hN","d7ASUq0ydm"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"≮⫘↔-10001001001010011001101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1940","layer":4},{"info":"compute unary expreesion, input=1940, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1731","layer":3},{"info":"compute unary expreesion, input=1731, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=5992722","layer":2},{"info":"number node, value=4639","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=4639, right_input=1564, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=21664","layer":3},{"info":"compute unary expreesion, input=21664, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-21838","layer":2},{"info":"compute binary expreesion, left_input=5992722, right_input=-21838, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-17978166","layer":1},{"info":"compute unary expreesion, input=-17978166, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-35956332","layer":0}],"base":2,"result_base":2,"text":"⪲⇎((⨝⨆≮⫘↔11110010100)⇚⪠)+⪬∐(⨞⊢≮⫘↔1001000011111⫯⪬∳≮⫘↔11000011100)=≮⫘↔-10001001001010011001101100","reverse_text":"≮⫘↔-10001001001010011001101100=⪲⇎((⨝⨆≮⫘↔11110010100)⇚⪠)+⪬∐(⨞⊢≮⫘↔1001000011111⫯⪬∳≮⫘↔11000011100)","cot":[{"info":"⨝⨆≮⫘↔11110010100=≮⫘↔11011000011","layer":3},{"info":"≮⫘↔11011000011⇚⪠=≮⫘↔10110110111000100010010","layer":2},{"info":"≮⫘↔1001000011111⫯⪬∳≮⫘↔11000011100=≮⫘↔101010010100000","layer":3},{"info":"⨞⊢≮⫘↔101010010100000=≮⫘↔-101010101001110","layer":2},{"info":"≮⫘↔10110110111000100010010+⪬∐≮⫘↔-101010101001110=≮⫘↔-1000100100101001100110110","layer":1},{"info":"⪲⇎≮⫘↔-1000100100101001100110110=≮⫘↔-10001001001010011001101100","layer":0}]}
{"id":831,"expression_no_base_symbol":"(($6620$⇼⇔∾$1054$)⪬($2070$≀⫉$1236$)⪗)↬(≑⋹(⇠$4424$≹⇙⪍$1935$))","expression":"((≮⫘↔1100111011100⇼⇔∾≮⫘↔10000011110)⪬(≮⫘↔100000010110≀⫉≮⫘↔10011010100)⪗)↬(≑⋹(⇠≮⫘↔1000101001000≹⇙⪍≮⫘↔11110001111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2057,"operation_count":8,"complexity_ratio":257.125,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6620,"base":2},"right_expr":{"type":"numeric_atoms","value":1054,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2070,"base":2},"right_expr":{"type":"numeric_atoms","value":1236,"base":2}}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4424,"base":2},"right_expr":{"type":"numeric_atoms","value":1935,"base":2}}}}},"used_operators":["B5M0gjZbta","VEQNXA0ZBg","Ez1Nq5fNfI","tifHPKVTfV","oZj3VtZNQx","6B9nyZLogK","18saOjeKKm","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6620","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=6620, right_input=1054, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5566","layer":3},{"info":"number node, value=2070","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=1236, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-5566, right_input=2822, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=4424","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=4424, right_input=1935, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100111011100⇼⇔∾≮⫘↔10000011110)⪬(≮⫘↔100000010110≀⫉≮⫘↔10011010100)⪗)↬(≑⋹(⇠≮⫘↔1000101001000≹⇙⪍≮⫘↔11110001111))=NaN","reverse_text":"NaN=((≮⫘↔1100111011100⇼⇔∾≮⫘↔10000011110)⪬(≮⫘↔100000010110≀⫉≮⫘↔10011010100)⪗)↬(≑⋹(⇠≮⫘↔1000101001000≹⇙⪍≮⫘↔11110001111))","cot":[{"info":"≮⫘↔1100111011100⇼⇔∾≮⫘↔10000011110=≮⫘↔-1010110111110","layer":3},{"info":"≮⫘↔100000010110≀⫉≮⫘↔10011010100=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔-1010110111110⪬≮⫘↔101100000110=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔10011010010⪗=NaN","layer":1},{"info":"≮⫘↔1000101001000≹⇙⪍≮⫘↔11110001111=NaN","layer":3},{"info":"⇠NaN=NaN","layer":2},{"info":"≑⋹NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":832,"expression_no_base_symbol":"↔(⋣($2923$⇼⇔∾$2176$⊾⪯⋞$2812$≃$3008$))","expression":"↔(⋣(≮⫘↔101101101011⇼⇔∾≮⫘↔100010000000⊾⪯⋞≮⫘↔101011111100≃≮⫘↔101111000000))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":271,"operation_count":5,"complexity_ratio":54.2,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2923,"base":2},"right_expr":{"type":"numeric_atoms","value":2176,"base":2}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2812,"base":2},"right_expr":{"type":"numeric_atoms","value":3008,"base":2}}}}},"used_operators":["ruOEQAzv1W","zQWRhDnn8F","HK0tfVPux8","tifHPKVTfV","YbVcJGFEVW"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"≮⫘↔-1101100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2923","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=2176, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-747","layer":3},{"info":"number node, value=2812","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=2812, right_input=3008, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-11288","layer":3},{"info":"compute binary expreesion, left_input=-747, right_input=-11288, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute unary expreesion, input=-820, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":1},{"info":"compute unary expreesion, input=-113, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-870","layer":0}],"base":2,"result_base":2,"text":"↔(⋣(≮⫘↔101101101011⇼⇔∾≮⫘↔100010000000⊾⪯⋞≮⫘↔101011111100≃≮⫘↔101111000000))=≮⫘↔-1101100110","reverse_text":"≮⫘↔-1101100110=↔(⋣(≮⫘↔101101101011⇼⇔∾≮⫘↔100010000000⊾⪯⋞≮⫘↔101011111100≃≮⫘↔101111000000))","cot":[{"info":"≮⫘↔101101101011⇼⇔∾≮⫘↔100010000000=≮⫘↔-1011101011","layer":3},{"info":"≮⫘↔101011111100≃≮⫘↔101111000000=≮⫘↔-10110000011000","layer":3},{"info":"≮⫘↔-1011101011⊾⪯⋞≮⫘↔-10110000011000=≮⫘↔-1100110100","layer":2},{"info":"⋣≮⫘↔-1100110100=≮⫘↔-1110001","layer":1},{"info":"↔≮⫘↔-1110001=≮⫘↔-1101100110","layer":0}]}
{"id":833,"expression_no_base_symbol":"(≪($2228$≹⇙⪍$5581$)⪬($1352$*$1410$))⩘($7793$⋹⋡⊁$6797$⫣⪄⊒($7854$⪚$4117$)∐⫣)","expression":"(≪(≮⫘↔100010110100≹⇙⪍≮⫘↔1010111001101)⪬(≮⫘↔10101001000*≮⫘↔10110000010))⩘(≮⫘↔1111001110001⋹⋡⊁≮⫘↔1101010001101⫣⪄⊒(≮⫘↔1111010101110⪚≮⫘↔1000000010101)∐⫣)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":64650,"operation_count":9,"complexity_ratio":7183.333333333333,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2228,"base":2},"right_expr":{"type":"numeric_atoms","value":5581,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1352,"base":2},"right_expr":{"type":"numeric_atoms","value":1410,"base":2}}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7793,"base":2},"right_expr":{"type":"numeric_atoms","value":6797,"base":2}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":7854,"base":2},"right_expr":{"type":"numeric_atoms","value":4117,"base":2}}}}},"used_operators":["cHh1gJQ2o6","Qtd6bqUJcN","Ez1Nq5fNfI","AHs5Up7iyr","9HNa5Wba9A","4CyGpkTkEk","RabNbG55vr","As8RqfVLgs","HrjLwUk87U"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","W4YGzv6Whe","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2228","layer":4},{"info":"number node, value=5581","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=5581, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1352","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=1410, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1906320","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1906320, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"number node, value=7793","layer":4},{"info":"number node, value=6797","layer":4},{"info":"compute binary expreesion, left_input=7793, right_input=6797, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7547","layer":3},{"info":"number node, value=7854","layer":4},{"info":"number node, value=4117","layer":4},{"info":"compute binary expreesion, left_input=7854, right_input=4117, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=7118","layer":3},{"info":"compute binary expreesion, left_input=7547, right_input=7118, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-28126","layer":2},{"info":"compute unary expreesion, input=-28126, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=551, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≪(≮⫘↔100010110100≹⇙⪍≮⫘↔1010111001101)⪬(≮⫘↔10101001000*≮⫘↔10110000010))⩘(≮⫘↔1111001110001⋹⋡⊁≮⫘↔1101010001101⫣⪄⊒(≮⫘↔1111010101110⪚≮⫘↔1000000010101)∐⫣)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≪(≮⫘↔100010110100≹⇙⪍≮⫘↔1010111001101)⪬(≮⫘↔10101001000*≮⫘↔10110000010))⩘(≮⫘↔1111001110001⋹⋡⊁≮⫘↔1101010001101⫣⪄⊒(≮⫘↔1111010101110⪚≮⫘↔1000000010101)∐⫣)","cot":[{"info":"≮⫘↔100010110100≹⇙⪍≮⫘↔1010111001101=NaN","layer":3},{"info":"≮⫘↔10101001000*≮⫘↔10110000010=≮⫘↔111010001011010010000","layer":3},{"info":"NaN⪬≮⫘↔111010001011010010000=≮⫘↔10011010010","layer":2},{"info":"≪≮⫘↔10011010010=≮⫘↔1110010001","layer":1},{"info":"≮⫘↔1111001110001⋹⋡⊁≮⫘↔1101010001101=≮⫘↔1110101111011","layer":3},{"info":"≮⫘↔1111010101110⪚≮⫘↔1000000010101=≮⫘↔1101111001110","layer":3},{"info":"≮⫘↔1110101111011⫣⪄⊒≮⫘↔1101111001110=≮⫘↔-110110111011110","layer":2},{"info":"≮⫘↔-110110111011110∐⫣=≮⫘↔1000100111","layer":1},{"info":"≮⫘↔1110010001⩘≮⫘↔1000100111=≮⫘↔10100000","layer":0}]}
{"id":834,"expression_no_base_symbol":"($1198$⪟⇏$4432$⪄$1356$≚⊃≕$5156$)⪃⊛⇣(($1032$⫽⇹≛)∲⫓($1241$⨲∙))≃$1030$⩖⊿$1375$⋥⋵⩄($2789$≨$1980$)⨪↰⇹($2635$⋥≓≎$1045$⪄$9003$⇂≾⫗$1569$)","expression":"(≮⫘↔10010101110⪟⇏≮⫘↔1000101010000⪄≮⫘↔10101001100≚⊃≕≮⫘↔1010000100100)⪃⊛⇣((≮⫘↔10000001000⫽⇹≛)∲⫓(≮⫘↔10011011001⨲∙))≃≮⫘↔10000000110⩖⊿≮⫘↔10101011111⋥⋵⩄(≮⫘↔101011100101≨≮⫘↔11110111100)⨪↰⇹(≮⫘↔101001001011⋥≓≎≮⫘↔10000010101⪄≮⫘↔10001100101011⇂≾⫗≮⫘↔11000100001)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":240428,"operation_count":15,"complexity_ratio":16028.533333333333,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1198,"base":2},"right_expr":{"type":"numeric_atoms","value":4432,"base":2}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1356,"base":2},"right_expr":{"type":"numeric_atoms","value":5156,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":1032,"base":2}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1241,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1030,"base":2},"right_expr":{"type":"numeric_atoms","value":1375,"base":2}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2789,"base":2},"right_expr":{"type":"numeric_atoms","value":1980,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2635,"base":2},"right_expr":{"type":"numeric_atoms","value":1045,"base":2}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":9003,"base":2},"right_expr":{"type":"numeric_atoms","value":1569,"base":2}}}}},"used_operators":["YbVcJGFEVW","rrgAzCduG9","SUmda5xLS4","GODebY97qR","Bmrmz2XGnR","i8ToyICDmI","NNaDxxp6OQ","cRahaglYVE","tmPS8pqC7x","7t3wd0Fuz7","RZ5CV9rWsJ","0KMCeP1Jsh","Qy55tPpLXF","aBQ6xLxuTc"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","rJVOvQCfKK","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≮⫘↔-1001101110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=4432, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1356","layer":4},{"info":"number node, value=5156","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=5156, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-16252","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-16252, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=69067","layer":2},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=14968370","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=14968370, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=69067, right_input=0, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1375, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6798","layer":3},{"info":"number node, value=2789","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=1980, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-25414","layer":3},{"info":"compute binary expreesion, left_input=6798, right_input=-25414, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=239000","layer":2},{"info":"number node, value=2635","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=1045, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-512","layer":3},{"info":"number node, value=9003","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=9003, right_input=1569, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-512, right_input=-676, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=239000, right_input=3979, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=239000","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=239000, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4976","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010101110⪟⇏≮⫘↔1000101010000⪄≮⫘↔10101001100≚⊃≕≮⫘↔1010000100100)⪃⊛⇣((≮⫘↔10000001000⫽⇹≛)∲⫓(≮⫘↔10011011001⨲∙))≃≮⫘↔10000000110⩖⊿≮⫘↔10101011111⋥⋵⩄(≮⫘↔101011100101≨≮⫘↔11110111100)⨪↰⇹(≮⫘↔101001001011⋥≓≎≮⫘↔10000010101⪄≮⫘↔10001100101011⇂≾⫗≮⫘↔11000100001)=≮⫘↔-1001101110000","reverse_text":"≮⫘↔-1001101110000=(≮⫘↔10010101110⪟⇏≮⫘↔1000101010000⪄≮⫘↔10101001100≚⊃≕≮⫘↔1010000100100)⪃⊛⇣((≮⫘↔10000001000⫽⇹≛)∲⫓(≮⫘↔10011011001⨲∙))≃≮⫘↔10000000110⩖⊿≮⫘↔10101011111⋥⋵⩄(≮⫘↔101011100101≨≮⫘↔11110111100)⨪↰⇹(≮⫘↔101001001011⋥≓≎≮⫘↔10000010101⪄≮⫘↔10001100101011⇂≾⫗≮⫘↔11000100001)","cot":[{"info":"≮⫘↔10010101110⪟⇏≮⫘↔1000101010000=≮⫘↔-1","layer":3},{"info":"≮⫘↔10101001100≚⊃≕≮⫘↔1010000100100=≮⫘↔-11111101111100","layer":3},{"info":"≮⫘↔-1⪄≮⫘↔-11111101111100=≮⫘↔10000110111001011","layer":2},{"info":"≮⫘↔10000001000⫽⇹≛=≮⫘↔100010000","layer":3},{"info":"≮⫘↔10011011001⨲∙=≮⫘↔111001000110011000110010","layer":3},{"info":"≮⫘↔100010000∲⫓≮⫘↔111001000110011000110010=≮⫘↔0","layer":2},{"info":"≮⫘↔10000110111001011⪃⊛⇣≮⫘↔0=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔10000000110⩖⊿≮⫘↔10101011111=≮⫘↔1101010001110","layer":3},{"info":"≮⫘↔101011100101≨≮⫘↔11110111100=≮⫘↔-110001101000110","layer":3},{"info":"≮⫘↔1101010001110⋥⋵⩄≮⫘↔-110001101000110=≮⫘↔111010010110011000","layer":2},{"info":"≮⫘↔101001001011⋥≓≎≮⫘↔10000010101=≮⫘↔-1000000000","layer":3},{"info":"≮⫘↔10001100101011⇂≾⫗≮⫘↔11000100001=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔-1000000000⪄≮⫘↔-1010100100=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔111010010110011000⨪↰⇹≮⫘↔111110001011=≮⫘↔111010010110011000","layer":1},{"info":"≮⫘↔10011010010≃≮⫘↔111010010110011000=≮⫘↔-1001101110000","layer":0}]}
{"id":835,"expression_no_base_symbol":"(⋣($1897$∴$2005$⨟⋌⩍(⩎⋉$1245$)))⫁($1057$⊮⊟↴$1093$≧⫂∧($9868$⋓$1767$)⊨$6381$⇡⇂$5854$⊉↱≁($1438$∠⫱$4285$))","expression":"(⋣(≮⫘↔11101101001∴≮⫘↔11111010101⨟⋌⩍(⩎⋉≮⫘↔10011011101)))⫁(≮⫘↔10000100001⊮⊟↴≮⫘↔10001000101≧⫂∧(≮⫘↔10011010001100⋓≮⫘↔11011100111)⊨≮⫘↔1100011101101⇡⇂≮⫘↔1011011011110⊉↱≁(≮⫘↔10110011110∠⫱≮⫘↔1000010111101))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":31369,"operation_count":12,"complexity_ratio":2614.0833333333335,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1897,"base":2},"right_expr":{"type":"numeric_atoms","value":2005,"base":2}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1245,"base":2}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1057,"base":2},"right_expr":{"type":"numeric_atoms","value":1093,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":9868,"base":2},"right_expr":{"type":"numeric_atoms","value":1767,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":6381,"base":2},"right_expr":{"type":"numeric_atoms","value":5854,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1438,"base":2},"right_expr":{"type":"numeric_atoms","value":4285,"base":2}}}}},"used_operators":["0ajvFaJAv0","zQWRhDnn8F","rGHVDoGpnC","hrf7POJlIJ","FlXk3pOYe8","vg4gO5BX6G","Ph9nP6C5qx","QDVgd2eftb","T2fj7uvVaJ","w2P8NbNXyL","UMwdvZNt44","QvoQhV0rrE"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Tcnh7f0tEr","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1897","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=2005, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5442","layer":3},{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=5442, right_input=1650, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":1},{"info":"number node, value=1057","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=1093, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=9868","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=9868, right_input=1767, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"number node, value=6381","layer":4},{"info":"number node, value=5854","layer":4},{"info":"compute binary expreesion, left_input=6381, right_input=5854, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1438","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=4285, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⋣(≮⫘↔11101101001∴≮⫘↔11111010101⨟⋌⩍(⩎⋉≮⫘↔10011011101)))⫁(≮⫘↔10000100001⊮⊟↴≮⫘↔10001000101≧⫂∧(≮⫘↔10011010001100⋓≮⫘↔11011100111)⊨≮⫘↔1100011101101⇡⇂≮⫘↔1011011011110⊉↱≁(≮⫘↔10110011110∠⫱≮⫘↔1000010111101))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⋣(≮⫘↔11101101001∴≮⫘↔11111010101⨟⋌⩍(⩎⋉≮⫘↔10011011101)))⫁(≮⫘↔10000100001⊮⊟↴≮⫘↔10001000101≧⫂∧(≮⫘↔10011010001100⋓≮⫘↔11011100111)⊨≮⫘↔1100011101101⇡⇂≮⫘↔1011011011110⊉↱≁(≮⫘↔10110011110∠⫱≮⫘↔1000010111101))","cot":[{"info":"≮⫘↔11101101001∴≮⫘↔11111010101=≮⫘↔1010101000010","layer":3},{"info":"⩎⋉≮⫘↔10011011101=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔1010101000010⨟⋌⩍≮⫘↔11001110010=NaN","layer":2},{"info":"⋣NaN=≮⫘↔-1110001","layer":1},{"info":"≮⫘↔10000100001⊮⊟↴≮⫘↔10001000101=≮⫘↔0","layer":3},{"info":"≮⫘↔10011010001100⋓≮⫘↔11011100111=≮⫘↔0","layer":3},{"info":"≮⫘↔0≧⫂∧≮⫘↔0=≮⫘↔-111011001","layer":2},{"info":"≮⫘↔1100011101101⇡⇂≮⫘↔1011011011110=NaN","layer":3},{"info":"≮⫘↔10110011110∠⫱≮⫘↔1000010111101=≮⫘↔10011010010","layer":3},{"info":"NaN⊉↱≁≮⫘↔10011010010=NaN","layer":2},{"info":"≮⫘↔-111011001⊨NaN=NaN","layer":1},{"info":"≮⫘↔-1110001⫁NaN=≮⫘↔10100000","layer":0}]}
{"id":836,"expression_no_base_symbol":"((↓⇌$1018$)⇪⋭)∥⊢⊲($1763$∋$1889$∌($5008$≬⋮$5620$))∘(⪲⇎($2654$↳≱$1752$⩨$2747$∼$6892$))","expression":"((↓⇌≮⫘↔1111111010)⇪⋭)∥⊢⊲(≮⫘↔11011100011∋≮⫘↔11101100001∌(≮⫘↔1001110010000≬⋮≮⫘↔1010111110100))∘(⪲⇎(≮⫘↔101001011110↳≱≮⫘↔11011011000⩨≮⫘↔101010111011∼≮⫘↔1101011101100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":295,"operation_count":11,"complexity_ratio":26.818181818181817,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1018,"base":2}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1763,"base":2},"right_expr":{"type":"numeric_atoms","value":1889,"base":2}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5008,"base":2},"right_expr":{"type":"numeric_atoms","value":5620,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2654,"base":2},"right_expr":{"type":"numeric_atoms","value":1752,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2747,"base":2},"right_expr":{"type":"numeric_atoms","value":6892,"base":2}}}}},"used_operators":["Z5m6OM72h2","v1UQAVDJRr","Z8Yg6dlDSp","PxpmPgHHJV","8cLx32lpNA","ukq6epAj5P","kbkesczE7y","XPYlsWDdGa","2DlMacCsIx","JwTKLfZU96","DyGG3AbaNP"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","EBcxylXtPf","rGHVDoGpnC","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≮⫘↔-11011001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1018","layer":3},{"info":"compute unary expreesion, input=1018, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"number node, value=1763","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=1889, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3952012","layer":3},{"info":"number node, value=5008","layer":4},{"info":"number node, value=5620","layer":4},{"info":"compute binary expreesion, left_input=5008, right_input=5620, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=3952012, right_input=868, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-868, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-868","layer":1},{"info":"number node, value=2654","layer":4},{"info":"number node, value=1752","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=1752, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2747","layer":4},{"info":"number node, value=6892","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=6892, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-868, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-1736","layer":0}],"base":2,"result_base":2,"text":"((↓⇌≮⫘↔1111111010)⇪⋭)∥⊢⊲(≮⫘↔11011100011∋≮⫘↔11101100001∌(≮⫘↔1001110010000≬⋮≮⫘↔1010111110100))∘(⪲⇎(≮⫘↔101001011110↳≱≮⫘↔11011011000⩨≮⫘↔101010111011∼≮⫘↔1101011101100))=≮⫘↔-11011001000","reverse_text":"≮⫘↔-11011001000=((↓⇌≮⫘↔1111111010)⇪⋭)∥⊢⊲(≮⫘↔11011100011∋≮⫘↔11101100001∌(≮⫘↔1001110010000≬⋮≮⫘↔1010111110100))∘(⪲⇎(≮⫘↔101001011110↳≱≮⫘↔11011011000⩨≮⫘↔101010111011∼≮⫘↔1101011101100))","cot":[{"info":"↓⇌≮⫘↔1111111010=≮⫘↔1111111010","layer":3},{"info":"≮⫘↔1111111010⇪⋭=NaN","layer":2},{"info":"≮⫘↔11011100011∋≮⫘↔11101100001=≮⫘↔1111000100110110001100","layer":3},{"info":"≮⫘↔1001110010000≬⋮≮⫘↔1010111110100=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔1111000100110110001100∌≮⫘↔1101100100=≮⫘↔-1101100100","layer":2},{"info":"NaN∥⊢⊲≮⫘↔-1101100100=≮⫘↔-1101100100","layer":1},{"info":"≮⫘↔101001011110↳≱≮⫘↔11011011000=≮⫘↔0","layer":3},{"info":"≮⫘↔101010111011∼≮⫘↔1101011101100=NaN","layer":3},{"info":"≮⫘↔0⩨NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"≮⫘↔-1101100100∘NaN=≮⫘↔-11011001000","layer":0}]}
{"id":837,"expression_no_base_symbol":"((⨮↦↱($1163$⩒⫫$1144$))≃(⇋⊎⋝($1237$⪨≂$5388$)))∘((⊤⊝$2748$⪭≯$2209$)⪛⫼$1635$⪎↠$1237$∌($1474$⊉≛↸$2034$))","expression":"((⨮↦↱(≮⫘↔10010001011⩒⫫≮⫘↔10001111000))≃(⇋⊎⋝(≮⫘↔10011010101⪨≂≮⫘↔1010100001100)))∘((⊤⊝≮⫘↔101010111100⪭≯≮⫘↔100010100001)⪛⫼≮⫘↔11001100011⪎↠≮⫘↔10011010101∌(≮⫘↔10111000010⊉≛↸≮⫘↔11111110010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8932,"operation_count":12,"complexity_ratio":744.3333333333334,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1163,"base":2},"right_expr":{"type":"numeric_atoms","value":1144,"base":2}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1237,"base":2},"right_expr":{"type":"numeric_atoms","value":5388,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2748,"base":2},"right_expr":{"type":"numeric_atoms","value":2209,"base":2}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1635,"base":2},"right_expr":{"type":"numeric_atoms","value":1237,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1474,"base":2},"right_expr":{"type":"numeric_atoms","value":2034,"base":2}}}}},"used_operators":["Z5m6OM72h2","YbVcJGFEVW","sYcpBQ0cFf","KFSx94NKJn","CzM2PEoXns","sdazOOVcIp","hyuBjUqXlG","rXAclfmB4M","XAx5wpdLa6","8cLx32lpNA","3tVxb0NHM4","DZ8iAZOCBD"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sdazOOVcIp","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1163","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=1144, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=861","layer":3},{"info":"compute unary expreesion, input=861, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-390699","layer":2},{"info":"number node, value=1237","layer":4},{"info":"number node, value=5388","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=5388, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8200","layer":3},{"info":"compute unary expreesion, input=-8200, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-390699, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"number node, value=2748","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=2748, right_input=2209, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":2},{"info":"number node, value=1635","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=1237, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2034, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2948","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2948, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2948","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2948, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨮↦↱(≮⫘↔10010001011⩒⫫≮⫘↔10001111000))≃(⇋⊎⋝(≮⫘↔10011010101⪨≂≮⫘↔1010100001100)))∘((⊤⊝≮⫘↔101010111100⪭≯≮⫘↔100010100001)⪛⫼≮⫘↔11001100011⪎↠≮⫘↔10011010101∌(≮⫘↔10111000010⊉≛↸≮⫘↔11111110010))=NaN","reverse_text":"NaN=((⨮↦↱(≮⫘↔10010001011⩒⫫≮⫘↔10001111000))≃(⇋⊎⋝(≮⫘↔10011010101⪨≂≮⫘↔1010100001100)))∘((⊤⊝≮⫘↔101010111100⪭≯≮⫘↔100010100001)⪛⫼≮⫘↔11001100011⪎↠≮⫘↔10011010101∌(≮⫘↔10111000010⊉≛↸≮⫘↔11111110010))","cot":[{"info":"≮⫘↔10010001011⩒⫫≮⫘↔10001111000=≮⫘↔1101011101","layer":3},{"info":"⨮↦↱≮⫘↔1101011101=≮⫘↔-1011111011000101011","layer":2},{"info":"≮⫘↔10011010101⪨≂≮⫘↔1010100001100=≮⫘↔-10000000001000","layer":3},{"info":"⇋⊎⋝≮⫘↔-10000000001000=NaN","layer":2},{"info":"≮⫘↔-1011111011000101011≃NaN=NaN","layer":1},{"info":"≮⫘↔101010111100⪭≯≮⫘↔100010100001=NaN","layer":3},{"info":"⊤⊝NaN=NaN","layer":2},{"info":"≮⫘↔11001100011⪎↠≮⫘↔10011010101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10111000010⊉≛↸≮⫘↔11111110010=≮⫘↔101110000100","layer":3},{"info":"≮⫘↔10100000∌≮⫘↔101110000100=≮⫘↔-101110000100","layer":2},{"info":"NaN⪛⫼≮⫘↔-101110000100=NaN","layer":1},{"info":"NaN∘NaN=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"((⊑$1380$)⫃⨇$1343$⨑⩅≇$2039$)∋($1453$⋩≍≻)≴⪞⇿($4900$⪥$2506$)⫉⨲⊜((↸⊣$1716$∓⋝$1010$)∼(≔(⋃$2655$)))","expression":"((⊑≮⫘↔10101100100)⫃⨇≮⫘↔10100111111⨑⩅≇≮⫘↔11111110111)∋(≮⫘↔10110101101⋩≍≻)≴⪞⇿(≮⫘↔1001100100100⪥≮⫘↔100111001010)⫉⨲⊜((↸⊣≮⫘↔11010110100∓⋝≮⫘↔1111110010)∼(≔(⋃≮⫘↔101001011111)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":359681,"operation_count":13,"complexity_ratio":27667.76923076923,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1380,"base":2}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1343,"base":2},"right_expr":{"type":"numeric_atoms","value":2039,"base":2}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1453,"base":2}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4900,"base":2},"right_expr":{"type":"numeric_atoms","value":2506,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1716,"base":2},"right_expr":{"type":"numeric_atoms","value":1010,"base":2}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2655,"base":2}}}}},"used_operators":["WhqkvtTD3t","ukq6epAj5P","09Ly4LVMIf","IkUmn0D7oy","h92wMvzauj","lvlrscuwVU","WYd1w68Nbz","QbnwKVWMIQ","DyGG3AbaNP","wztAlM01eG","PoHhknlbAi","8FLs4eVsLt","3mBM5G4a3l"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","g55IO6H4Gj"],"result":"Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1380","layer":4},{"info":"compute unary expreesion, input=1380, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1343","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=2039, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-4029","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-4029, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=16084","layer":2},{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=4900","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=4900, right_input=2506, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24252","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=24252, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-5160","layer":2},{"info":"compute binary expreesion, left_input=16084, right_input=-5160, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-118960","layer":1},{"info":"number node, value=1716","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=1010, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=220","layer":2},{"info":"number node, value=2655","layer":4},{"info":"compute unary expreesion, input=2655, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=5412","layer":3},{"info":"compute unary expreesion, input=5412, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-150242","layer":2},{"info":"compute binary expreesion, left_input=220, right_input=-150242, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-118960, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=inf","layer":0}],"base":2,"result_base":2,"text":"((⊑≮⫘↔10101100100)⫃⨇≮⫘↔10100111111⨑⩅≇≮⫘↔11111110111)∋(≮⫘↔10110101101⋩≍≻)≴⪞⇿(≮⫘↔1001100100100⪥≮⫘↔100111001010)⫉⨲⊜((↸⊣≮⫘↔11010110100∓⋝≮⫘↔1111110010)∼(≔(⋃≮⫘↔101001011111)))=Inf","reverse_text":"Inf=((⊑≮⫘↔10101100100)⫃⨇≮⫘↔10100111111⨑⩅≇≮⫘↔11111110111)∋(≮⫘↔10110101101⋩≍≻)≴⪞⇿(≮⫘↔1001100100100⪥≮⫘↔100111001010)⫉⨲⊜((↸⊣≮⫘↔11010110100∓⋝≮⫘↔1111110010)∼(≔(⋃≮⫘↔101001011111)))","cot":[{"info":"⊑≮⫘↔10101100100=≮⫘↔11000000","layer":3},{"info":"≮⫘↔10100111111⨑⩅≇≮⫘↔11111110111=≮⫘↔-111110111101","layer":3},{"info":"≮⫘↔11000000⫃⨇≮⫘↔-111110111101=≮⫘↔11111011010100","layer":2},{"info":"≮⫘↔10110101101⋩≍≻=≮⫘↔-110111","layer":3},{"info":"≮⫘↔1001100100100⪥≮⫘↔100111001010=≮⫘↔101111010111100","layer":3},{"info":"≮⫘↔-110111≴⪞⇿≮⫘↔101111010111100=≮⫘↔-1010000101000","layer":2},{"info":"≮⫘↔11111011010100∋≮⫘↔-1010000101000=≮⫘↔-11101000010110000","layer":1},{"info":"≮⫘↔11010110100∓⋝≮⫘↔1111110010=≮⫘↔1000011","layer":3},{"info":"↸⊣≮⫘↔1000011=≮⫘↔11011100","layer":2},{"info":"⋃≮⫘↔101001011111=≮⫘↔1010100100100","layer":3},{"info":"≔≮⫘↔1010100100100=≮⫘↔-100100101011100010","layer":2},{"info":"≮⫘↔11011100∼≮⫘↔-100100101011100010=NaN","layer":1},{"info":"≮⫘↔-11101000010110000⫉⨲⊜NaN=Inf","layer":0}]}
{"id":839,"expression_no_base_symbol":"(($6415$⇴∐$1756$)≠≀$4980$∌$3566$⋳⪒($2096$⪚$7711$)⊉↱≁(⫯$3994$))⊫∞","expression":"((≮⫘↔1100100001111⇴∐≮⫘↔11011011100)≠≀≮⫘↔1001101110100∌≮⫘↔110111101110⋳⪒(≮⫘↔100000110000⪚≮⫘↔1111000011111)⊉↱≁(⫯≮⫘↔111110011010))⊫∞","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23271,"operation_count":8,"complexity_ratio":2908.875,"tree":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":6415,"base":2},"right_expr":{"type":"numeric_atoms","value":1756,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4980,"base":2},"right_expr":{"type":"numeric_atoms","value":3566,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2096,"base":2},"right_expr":{"type":"numeric_atoms","value":7711,"base":2}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3994,"base":2}}}}},"used_operators":["pABnYW3G3E","12rbrZMWeM","IwW236VD4Y","HnzytWxmAO","8cLx32lpNA","w2P8NbNXyL","HrjLwUk87U","H6BK1Evt7c"],"dependent_operators":["fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6415","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=6415, right_input=1756, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=4980","layer":4},{"info":"number node, value=3566","layer":4},{"info":"compute binary expreesion, left_input=4980, right_input=3566, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3566","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3566, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"number node, value=2096","layer":4},{"info":"number node, value=7711","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=7711, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-11586","layer":3},{"info":"number node, value=3994","layer":4},{"info":"compute unary expreesion, input=3994, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-152960","layer":3},{"info":"compute binary expreesion, left_input=-11586, right_input=-152960, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=801848","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=801848, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100100001111⇴∐≮⫘↔11011011100)≠≀≮⫘↔1001101110100∌≮⫘↔110111101110⋳⪒(≮⫘↔100000110000⪚≮⫘↔1111000011111)⊉↱≁(⫯≮⫘↔111110011010))⊫∞=NaN","reverse_text":"NaN=((≮⫘↔1100100001111⇴∐≮⫘↔11011011100)≠≀≮⫘↔1001101110100∌≮⫘↔110111101110⋳⪒(≮⫘↔100000110000⪚≮⫘↔1111000011111)⊉↱≁(⫯≮⫘↔111110011010))⊫∞","cot":[{"info":"≮⫘↔1100100001111⇴∐≮⫘↔11011011100=NaN","layer":3},{"info":"≮⫘↔1001101110100∌≮⫘↔110111101110=≮⫘↔-110111101110","layer":3},{"info":"NaN≠≀≮⫘↔-110111101110=NaN","layer":2},{"info":"≮⫘↔100000110000⪚≮⫘↔1111000011111=≮⫘↔-10110101000010","layer":3},{"info":"⫯≮⫘↔111110011010=≮⫘↔-100101010110000000","layer":3},{"info":"≮⫘↔-10110101000010⊉↱≁≮⫘↔-100101010110000000=≮⫘↔11000011110000111000","layer":2},{"info":"NaN⋳⪒≮⫘↔11000011110000111000=NaN","layer":1},{"info":"NaN⊫∞=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"⋂(($4586$∠↢$3361$)⨐(⨆≐≲$2410$)⊹∫⫚($9391$≎⊠⪸$1324$)≦↸($2018$↢$3234$))","expression":"⋂((≮⫘↔1000111101010∠↢≮⫘↔110100100001)⨐(⨆≐≲≮⫘↔100101101010)⊹∫⫚(≮⫘↔10010010101111≎⊠⪸≮⫘↔10100101100)≦↸(≮⫘↔11111100010↢≮⫘↔110010100010))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":49611,"operation_count":8,"complexity_ratio":6201.375,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4586,"base":2},"right_expr":{"type":"numeric_atoms","value":3361,"base":2}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2410,"base":2}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":9391,"base":2},"right_expr":{"type":"numeric_atoms","value":1324,"base":2}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2018,"base":2},"right_expr":{"type":"numeric_atoms","value":3234,"base":2}}}}},"used_operators":["BUOGQAYlQx","uWAJUKEvyW","Noe24qw2ks","KbjG8mgYpV","Bi9z9uYZqW","RygbFNSyEJ","bJkvcejdHO","WR6HLWljOP"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≮⫘↔100011100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4586","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=4586, right_input=3361, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-64316","layer":3},{"info":"number node, value=2410","layer":4},{"info":"compute unary expreesion, input=2410, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=26041560","layer":3},{"info":"compute binary expreesion, left_input=-64316, right_input=26041560, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=128632","layer":2},{"info":"number node, value=9391","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=9391, right_input=1324, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2431796","layer":3},{"info":"number node, value=2018","layer":4},{"info":"number node, value=3234","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=3234, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1534","layer":3},{"info":"compute binary expreesion, left_input=2431796, right_input=1534, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4865979","layer":2},{"info":"compute binary expreesion, left_input=128632, right_input=-4865979, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-120","layer":1},{"info":"compute unary expreesion, input=-120, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=2276","layer":0}],"base":2,"result_base":2,"text":"⋂((≮⫘↔1000111101010∠↢≮⫘↔110100100001)⨐(⨆≐≲≮⫘↔100101101010)⊹∫⫚(≮⫘↔10010010101111≎⊠⪸≮⫘↔10100101100)≦↸(≮⫘↔11111100010↢≮⫘↔110010100010))=≮⫘↔100011100100","reverse_text":"≮⫘↔100011100100=⋂((≮⫘↔1000111101010∠↢≮⫘↔110100100001)⨐(⨆≐≲≮⫘↔100101101010)⊹∫⫚(≮⫘↔10010010101111≎⊠⪸≮⫘↔10100101100)≦↸(≮⫘↔11111100010↢≮⫘↔110010100010))","cot":[{"info":"≮⫘↔1000111101010∠↢≮⫘↔110100100001=≮⫘↔-1111101100111100","layer":3},{"info":"⨆≐≲≮⫘↔100101101010=≮⫘↔1100011010101110011011000","layer":3},{"info":"≮⫘↔-1111101100111100⨐≮⫘↔1100011010101110011011000=≮⫘↔11111011001111000","layer":2},{"info":"≮⫘↔10010010101111≎⊠⪸≮⫘↔10100101100=≮⫘↔1001010001101100110100","layer":3},{"info":"≮⫘↔11111100010↢≮⫘↔110010100010=≮⫘↔10111111110","layer":3},{"info":"≮⫘↔1001010001101100110100≦↸≮⫘↔10111111110=≮⫘↔-10010100011111110111011","layer":2},{"info":"≮⫘↔11111011001111000⊹∫⫚≮⫘↔-10010100011111110111011=≮⫘↔-1111000","layer":1},{"info":"⋂≮⫘↔-1111000=≮⫘↔100011100100","layer":0}]}
{"id":841,"expression_no_base_symbol":"((⊑$1962$)⩼⇪↪($1063$∷$3694$)⊢)⫞⩸⩒($2247$≎⪠$7653$≀⫉($1518$⨽$1709$)∙⊟(⋂$1127$)↡⊰⫅($1985$⩎⪣⊞))","expression":"((⊑≮⫘↔11110101010)⩼⇪↪(≮⫘↔10000100111∷≮⫘↔111001101110)⊢)⫞⩸⩒(≮⫘↔100011000111≎⪠≮⫘↔1110111100101≀⫉(≮⫘↔10111101110⨽≮⫘↔11010101101)∙⊟(⋂≮⫘↔10001100111)↡⊰⫅(≮⫘↔11111000001⩎⪣⊞))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":107505,"operation_count":12,"complexity_ratio":8958.75,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1962,"base":2}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":3694,"base":2}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2247,"base":2},"right_expr":{"type":"numeric_atoms","value":7653,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1518,"base":2},"right_expr":{"type":"numeric_atoms","value":1709,"base":2}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1127,"base":2}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":1985,"base":2}}}}},"used_operators":["XGcMNugi78","40aOVDgCDB","ocnLzx9CaJ","IkUmn0D7oy","D3AQDKkPcf","SxTAKzQCrw","oZj3VtZNQx","aNhz54LH3e","8HhzD0ZcuI","VCtxkLNOzz","BUOGQAYlQx","waWucp1uQ4"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","NTOWxs364D","7j4O788W3g","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","mp7IySMOzn"],"result":"≮⫘↔-110011010010001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1962","layer":4},{"info":"compute unary expreesion, input=1962, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=3694, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3694","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=3694, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-26257","layer":2},{"info":"compute unary expreesion, input=-26257, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-26257","layer":1},{"info":"number node, value=2247","layer":4},{"info":"number node, value=7653","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=7653, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1518","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=1709, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6916785","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-6916785, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-15182","layer":3},{"info":"number node, value=1985","layer":4},{"info":"compute unary expreesion, input=1985, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=3970","layer":3},{"info":"compute binary expreesion, left_input=-15182, right_input=3970, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=7940","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=7940, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=46532","layer":1},{"info":"compute binary expreesion, left_input=-26257, right_input=46532, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-26257","layer":0}],"base":2,"result_base":2,"text":"((⊑≮⫘↔11110101010)⩼⇪↪(≮⫘↔10000100111∷≮⫘↔111001101110)⊢)⫞⩸⩒(≮⫘↔100011000111≎⪠≮⫘↔1110111100101≀⫉(≮⫘↔10111101110⨽≮⫘↔11010101101)∙⊟(⋂≮⫘↔10001100111)↡⊰⫅(≮⫘↔11111000001⩎⪣⊞))=≮⫘↔-110011010010001","reverse_text":"≮⫘↔-110011010010001=((⊑≮⫘↔11110101010)⩼⇪↪(≮⫘↔10000100111∷≮⫘↔111001101110)⊢)⫞⩸⩒(≮⫘↔100011000111≎⪠≮⫘↔1110111100101≀⫉(≮⫘↔10111101110⨽≮⫘↔11010101101)∙⊟(⋂≮⫘↔10001100111)↡⊰⫅(≮⫘↔11111000001⩎⪣⊞))","cot":[{"info":"⊑≮⫘↔11110101010=≮⫘↔11000000","layer":3},{"info":"≮⫘↔10000100111∷≮⫘↔111001101110=≮⫘↔111001101110","layer":3},{"info":"≮⫘↔11000000⩼⇪↪≮⫘↔111001101110=≮⫘↔-110011010010001","layer":2},{"info":"≮⫘↔-110011010010001⊢=≮⫘↔-110011010010001","layer":1},{"info":"≮⫘↔100011000111≎⪠≮⫘↔1110111100101=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔10111101110⨽≮⫘↔11010101101=≮⫘↔-11010011000101010110001","layer":3},{"info":"≮⫘↔100110001100110≀⫉≮⫘↔-11010011000101010110001=≮⫘↔101100000110","layer":2},{"info":"⋂≮⫘↔10001100111=≮⫘↔-11101101001110","layer":3},{"info":"≮⫘↔11111000001⩎⪣⊞=≮⫘↔111110000010","layer":3},{"info":"≮⫘↔-11101101001110↡⊰⫅≮⫘↔111110000010=≮⫘↔1111100000100","layer":2},{"info":"≮⫘↔101100000110∙⊟≮⫘↔1111100000100=≮⫘↔1011010111000100","layer":1},{"info":"≮⫘↔-110011010010001⫞⩸⩒≮⫘↔1011010111000100=≮⫘↔-110011010010001","layer":0}]}
{"id":842,"expression_no_base_symbol":"($2798$*$2787$⊭↱(⊙↵-$2288$)∕⩚($1330$∐⫣)⋛($1183$⩹$2987$))⪝(↽≂($8076$⨑⩅≇$3536$⊍))","expression":"(≮⫘↔101011101110*≮⫘↔101011100011⊭↱(⊙↵-≮⫘↔100011110000)∕⩚(≮⫘↔10100110010∐⫣)⋛(≮⫘↔10010011111⩹≮⫘↔101110101011))⪝(↽≂(≮⫘↔1111110001100⨑⩅≇≮⫘↔110111010000⊍))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9455,"operation_count":11,"complexity_ratio":859.5454545454545,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2798,"base":2},"right_expr":{"type":"numeric_atoms","value":2787,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2288,"base":2}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1330,"base":2}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1183,"base":2},"right_expr":{"type":"numeric_atoms","value":2987,"base":2}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":8076,"base":2},"right_expr":{"type":"numeric_atoms","value":3536,"base":2}}}}},"used_operators":["wicAB68Tmb","z9ffQ9n5Zr","COABgblf1C","9HNa5Wba9A","oWn0xqSxBt","YbUVn0Rbpy","4CyGpkTkEk","2Wsdkap16l","u6S6b8DprG","3nqY3DE9mg","h92wMvzauj"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"≮⫘↔11101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2798","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=2787, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7798026","layer":3},{"info":"number node, value=2288","layer":4},{"info":"compute unary expreesion, input=2288, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=7798026, right_input=-1, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-15596049","layer":2},{"info":"number node, value=1330","layer":4},{"info":"compute unary expreesion, input=1330, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=2987, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2985","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=2985, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-120675","layer":2},{"info":"compute binary expreesion, left_input=-15596049, right_input=-120675, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=8076","layer":4},{"info":"number node, value=3536","layer":4},{"info":"compute binary expreesion, left_input=8076, right_input=3536, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-24228","layer":3},{"info":"compute unary expreesion, input=-24228, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-149457","layer":2},{"info":"compute unary expreesion, input=-149457, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=298914","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=298914, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101011101110*≮⫘↔101011100011⊭↱(⊙↵-≮⫘↔100011110000)∕⩚(≮⫘↔10100110010∐⫣)⋛(≮⫘↔10010011111⩹≮⫘↔101110101011))⪝(↽≂(≮⫘↔1111110001100⨑⩅≇≮⫘↔110111010000⊍))=≮⫘↔11101100","reverse_text":"≮⫘↔11101100=(≮⫘↔101011101110*≮⫘↔101011100011⊭↱(⊙↵-≮⫘↔100011110000)∕⩚(≮⫘↔10100110010∐⫣)⋛(≮⫘↔10010011111⩹≮⫘↔101110101011))⪝(↽≂(≮⫘↔1111110001100⨑⩅≇≮⫘↔110111010000⊍))","cot":[{"info":"≮⫘↔101011101110*≮⫘↔101011100011=≮⫘↔11101101111110100001010","layer":3},{"info":"⊙↵-≮⫘↔100011110000=≮⫘↔-1","layer":3},{"info":"≮⫘↔11101101111110100001010⊭↱≮⫘↔-1=≮⫘↔-111011011111101000010001","layer":2},{"info":"≮⫘↔10100110010∐⫣=≮⫘↔1000100111","layer":3},{"info":"≮⫘↔10010011111⩹≮⫘↔101110101011=≮⫘↔101110101001","layer":3},{"info":"≮⫘↔1000100111⋛≮⫘↔101110101001=≮⫘↔-11101011101100011","layer":2},{"info":"≮⫘↔-111011011111101000010001∕⩚≮⫘↔-11101011101100011=≮⫘↔-111100111","layer":1},{"info":"≮⫘↔1111110001100⨑⩅≇≮⫘↔110111010000=≮⫘↔-101111010100100","layer":3},{"info":"≮⫘↔-101111010100100⊍=≮⫘↔-100100011111010001","layer":2},{"info":"↽≂≮⫘↔-100100011111010001=≮⫘↔1001000111110100010","layer":1},{"info":"≮⫘↔-111100111⪝≮⫘↔1001000111110100010=≮⫘↔11101100","layer":0}]}
{"id":843,"expression_no_base_symbol":"(∂⩏⊆$5052$)⨔⇊$2622$⨸$1654$⋾⨃∁(⊽($2605$⫒⫫$1127$))⋳⪒((⫎≠⋺$1567$)∠↢(↨$1176$)+($4078$⇷$2306$)⫗⊷⫓($6935$⪘⨀))","expression":"(∂⩏⊆≮⫘↔1001110111100)⨔⇊≮⫘↔101000111110⨸≮⫘↔11001110110⋾⨃∁(⊽(≮⫘↔101000101101⫒⫫≮⫘↔10001100111))⋳⪒((⫎≠⋺≮⫘↔11000011111)∠↢(↨≮⫘↔10010011000)+(≮⫘↔111111101110⇷≮⫘↔100100000010)⫗⊷⫓(≮⫘↔1101100010111⪘⨀))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":60726,"operation_count":14,"complexity_ratio":4337.571428571428,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":5052,"base":2}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2622,"base":2},"right_expr":{"type":"numeric_atoms","value":1654,"base":2}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2605,"base":2},"right_expr":{"type":"numeric_atoms","value":1127,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1567,"base":2}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1176,"base":2}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4078,"base":2},"right_expr":{"type":"numeric_atoms","value":2306,"base":2}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":6935,"base":2}}}}},"used_operators":["12rbrZMWeM","212REbPD9h","JclMnS0uGI","8WDwsbhb0R","KmoU8R5UQR","QxG7OkqoLX","6Ko8hGgeMq","W4YGzv6Whe","KbjG8mgYpV","LYeZOJ0nQG","jiX4gk2v2Q","zashukvMKz","mp7IySMOzn","aA7tF3KVD3"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","14qkJME0vr","eLAdDNolq6","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","oZj3VtZNQx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5052","layer":4},{"info":"compute unary expreesion, input=5052, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-15235","layer":3},{"info":"number node, value=2622","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=2622, right_input=1654, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5244","layer":3},{"info":"compute binary expreesion, left_input=-15235, right_input=5244, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5244","layer":2},{"info":"number node, value=2605","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=1127, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5244, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=4078","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=4078, right_input=2306, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4612","layer":3},{"info":"number node, value=6935","layer":4},{"info":"compute unary expreesion, input=6935, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-14451","layer":3},{"info":"compute binary expreesion, left_input=4612, right_input=-14451, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∂⩏⊆≮⫘↔1001110111100)⨔⇊≮⫘↔101000111110⨸≮⫘↔11001110110⋾⨃∁(⊽(≮⫘↔101000101101⫒⫫≮⫘↔10001100111))⋳⪒((⫎≠⋺≮⫘↔11000011111)∠↢(↨≮⫘↔10010011000)+(≮⫘↔111111101110⇷≮⫘↔100100000010)⫗⊷⫓(≮⫘↔1101100010111⪘⨀))=NaN","reverse_text":"NaN=(∂⩏⊆≮⫘↔1001110111100)⨔⇊≮⫘↔101000111110⨸≮⫘↔11001110110⋾⨃∁(⊽(≮⫘↔101000101101⫒⫫≮⫘↔10001100111))⋳⪒((⫎≠⋺≮⫘↔11000011111)∠↢(↨≮⫘↔10010011000)+(≮⫘↔111111101110⇷≮⫘↔100100000010)⫗⊷⫓(≮⫘↔1101100010111⪘⨀))","cot":[{"info":"∂⩏⊆≮⫘↔1001110111100=≮⫘↔-11101110000011","layer":3},{"info":"≮⫘↔101000111110⨸≮⫘↔11001110110=≮⫘↔1010001111100","layer":3},{"info":"≮⫘↔-11101110000011⨔⇊≮⫘↔1010001111100=≮⫘↔1010001111100","layer":2},{"info":"≮⫘↔101000101101⫒⫫≮⫘↔10001100111=NaN","layer":3},{"info":"⊽NaN=NaN","layer":2},{"info":"≮⫘↔1010001111100⋾⨃∁NaN=NaN","layer":1},{"info":"⫎≠⋺≮⫘↔11000011111=≮⫘↔0","layer":3},{"info":"↨≮⫘↔10010011000=NaN","layer":3},{"info":"≮⫘↔0∠↢NaN=NaN","layer":2},{"info":"≮⫘↔111111101110⇷≮⫘↔100100000010=≮⫘↔1001000000100","layer":3},{"info":"≮⫘↔1101100010111⪘⨀=≮⫘↔-11100001110011","layer":3},{"info":"≮⫘↔1001000000100⫗⊷⫓≮⫘↔-11100001110011=≮⫘↔-10000110","layer":2},{"info":"NaN+≮⫘↔-10000110=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"(⫡⇟⇯(↑$1610$)+⪬∐($3927$∙∹∝$4535$))∩⋅","expression":"(⫡⇟⇯(↑≮⫘↔11001001010)+⪬∐(≮⫘↔111101010111∙∹∝≮⫘↔1000110110111))∩⋅","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":66,"operation_count":5,"complexity_ratio":13.2,"tree":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1610,"base":2}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3927,"base":2},"right_expr":{"type":"numeric_atoms","value":4535,"base":2}}}}},"used_operators":["2MzE1hQ0cz","qWUSsah53b","2GS7woTJqF","tR7O2zTn5j","HmxsFra2vL"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","P8v4zCKN1o","g55IO6H4Gj","D4vGDi5EA2","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"≮⫘↔-10100101011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1610","layer":4},{"info":"compute unary expreesion, input=1610, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=3927","layer":4},{"info":"number node, value=4535","layer":4},{"info":"compute binary expreesion, left_input=3927, right_input=4535, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-576","layer":2},{"info":"compute unary expreesion, input=-576, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=1444","layer":1},{"info":"compute unary expreesion, input=1444, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1323","layer":0}],"base":2,"result_base":2,"text":"(⫡⇟⇯(↑≮⫘↔11001001010)+⪬∐(≮⫘↔111101010111∙∹∝≮⫘↔1000110110111))∩⋅=≮⫘↔-10100101011","reverse_text":"≮⫘↔-10100101011=(⫡⇟⇯(↑≮⫘↔11001001010)+⪬∐(≮⫘↔111101010111∙∹∝≮⫘↔1000110110111))∩⋅","cot":[{"info":"↑≮⫘↔11001001010=≮⫘↔11000000","layer":3},{"info":"≮⫘↔111101010111∙∹∝≮⫘↔1000110110111=≮⫘↔0","layer":3},{"info":"≮⫘↔11000000+⪬∐≮⫘↔0=≮⫘↔-1001000000","layer":2},{"info":"⫡⇟⇯≮⫘↔-1001000000=≮⫘↔10110100100","layer":1},{"info":"≮⫘↔10110100100∩⋅=≮⫘↔-10100101011","layer":0}]}
{"id":845,"expression_no_base_symbol":"((⪡⇡≛($5848$∺≝⩲$2107$))⨔≚≋((⫟$2828$)⨸⪁($7031$⪒$4701$)))⇯⋐","expression":"((⪡⇡≛(≮⫘↔1011011011000∺≝⩲≮⫘↔100000111011))⨔≚≋((⫟≮⫘↔101100001100)⨸⪁(≮⫘↔1101101110111⪒≮⫘↔1001001011101)))⇯⋐","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":138,"operation_count":7,"complexity_ratio":19.714285714285715,"tree":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5848,"base":2},"right_expr":{"type":"numeric_atoms","value":2107,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2828,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7031,"base":2},"right_expr":{"type":"numeric_atoms","value":4701,"base":2}}}}},"used_operators":["LkLIoiE525","Z57zeUYC9z","qL4PrbW1Dq","KPf6cnQVty","g55IO6H4Gj","z4E1FaHLuy","f6k1SAg4EE"],"dependent_operators":["P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔11100010010110000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5848","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=2107, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-160","layer":2},{"info":"number node, value=2828","layer":4},{"info":"compute unary expreesion, input=2828, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-7577","layer":3},{"info":"number node, value=7031","layer":4},{"info":"number node, value=4701","layer":4},{"info":"compute binary expreesion, left_input=7031, right_input=4701, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11732","layer":3},{"info":"compute binary expreesion, left_input=-7577, right_input=-11732, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-38618","layer":2},{"info":"compute binary expreesion, left_input=-160, right_input=-38618, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=308744","layer":1},{"info":"compute unary expreesion, input=308744, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=927110","layer":0}],"base":2,"result_base":2,"text":"((⪡⇡≛(≮⫘↔1011011011000∺≝⩲≮⫘↔100000111011))⨔≚≋((⫟≮⫘↔101100001100)⨸⪁(≮⫘↔1101101110111⪒≮⫘↔1001001011101)))⇯⋐=≮⫘↔11100010010110000110","reverse_text":"≮⫘↔11100010010110000110=((⪡⇡≛(≮⫘↔1011011011000∺≝⩲≮⫘↔100000111011))⨔≚≋((⫟≮⫘↔101100001100)⨸⪁(≮⫘↔1101101110111⪒≮⫘↔1001001011101)))⇯⋐","cot":[{"info":"≮⫘↔1011011011000∺≝⩲≮⫘↔100000111011=≮⫘↔10100000","layer":3},{"info":"⪡⇡≛≮⫘↔10100000=≮⫘↔-10100000","layer":2},{"info":"⫟≮⫘↔101100001100=≮⫘↔-1110110011001","layer":3},{"info":"≮⫘↔1101101110111⪒≮⫘↔1001001011101=≮⫘↔-10110111010100","layer":3},{"info":"≮⫘↔-1110110011001⨸⪁≮⫘↔-10110111010100=≮⫘↔-1001011011011010","layer":2},{"info":"≮⫘↔-10100000⨔≚≋≮⫘↔-1001011011011010=≮⫘↔1001011011000001000","layer":1},{"info":"≮⫘↔1001011011000001000⇯⋐=≮⫘↔11100010010110000110","layer":0}]}
{"id":846,"expression_no_base_symbol":"($3388$≹⇙⪍$3359$∛($1059$⩨$7707$))⪎↠($5037$⨜⨶$7485$⊔$6391$⫞⩸⩒$3471$)≥⨤⩑(-(↡$2669$))⪶≀⋏(⫡⇟⇯$4570$⨟⋌⩍$5967$)","expression":"(≮⫘↔110100111100≹⇙⪍≮⫘↔110100011111∛(≮⫘↔10000100011⩨≮⫘↔1111000011011))⪎↠(≮⫘↔1001110101101⨜⨶≮⫘↔1110100111101⊔≮⫘↔1100011110111⫞⩸⩒≮⫘↔110110001111)≥⨤⩑(-(↡≮⫘↔101001101101))⪶≀⋏(⫡⇟⇯≮⫘↔1000111011010⨟⋌⩍≮⫘↔1011101001111)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":174,"operation_count":13,"complexity_ratio":13.384615384615385,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3388,"base":2},"right_expr":{"type":"numeric_atoms","value":3359,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1059,"base":2},"right_expr":{"type":"numeric_atoms","value":7707,"base":2}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5037,"base":2},"right_expr":{"type":"numeric_atoms","value":7485,"base":2}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":6391,"base":2},"right_expr":{"type":"numeric_atoms","value":3471,"base":2}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2669,"base":2}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4570,"base":2},"right_expr":{"type":"numeric_atoms","value":5967,"base":2}}}}},"used_operators":["gJLn6v0xnP","3tVxb0NHM4","w2537kitQq","AHs5Up7iyr","2DlMacCsIx","E4l6HwMY31","HiPekx5b7W","XGcMNugi78","zR4jO40bMj","t8gj7n24qd","MXaNJeIAZ3","qWUSsah53b","rGHVDoGpnC"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DZ8iAZOCBD","P8v4zCKN1o","Tcnh7f0tEr"],"result":"≮⫘↔10011010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3388","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=3388, right_input=3359, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=7707","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=7707, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=5037","layer":4},{"info":"number node, value=7485","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=7485, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-14714","layer":3},{"info":"number node, value=6391","layer":4},{"info":"number node, value=3471","layer":4},{"info":"compute binary expreesion, left_input=6391, right_input=3471, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3471","layer":3},{"info":"compute binary expreesion, left_input=-14714, right_input=3471, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=67559","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=67559, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=935","layer":1},{"info":"number node, value=2669","layer":4},{"info":"compute unary expreesion, input=2669, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=24021","layer":3},{"info":"compute unary expreesion, input=24021, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-24021","layer":2},{"info":"number node, value=4570","layer":4},{"info":"number node, value=5967","layer":4},{"info":"compute binary expreesion, left_input=4570, right_input=5967, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-24021, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110100111100≹⇙⪍≮⫘↔110100011111∛(≮⫘↔10000100011⩨≮⫘↔1111000011011))⪎↠(≮⫘↔1001110101101⨜⨶≮⫘↔1110100111101⊔≮⫘↔1100011110111⫞⩸⩒≮⫘↔110110001111)≥⨤⩑(-(↡≮⫘↔101001101101))⪶≀⋏(⫡⇟⇯≮⫘↔1000111011010⨟⋌⩍≮⫘↔1011101001111)=≮⫘↔10011010010","reverse_text":"≮⫘↔10011010010=(≮⫘↔110100111100≹⇙⪍≮⫘↔110100011111∛(≮⫘↔10000100011⩨≮⫘↔1111000011011))⪎↠(≮⫘↔1001110101101⨜⨶≮⫘↔1110100111101⊔≮⫘↔1100011110111⫞⩸⩒≮⫘↔110110001111)≥⨤⩑(-(↡≮⫘↔101001101101))⪶≀⋏(⫡⇟⇯≮⫘↔1000111011010⨟⋌⩍≮⫘↔1011101001111)","cot":[{"info":"≮⫘↔110100111100≹⇙⪍≮⫘↔110100011111=NaN","layer":3},{"info":"≮⫘↔10000100011⩨≮⫘↔1111000011011=≮⫘↔-10101","layer":3},{"info":"NaN∛≮⫘↔-10101=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1001110101101⨜⨶≮⫘↔1110100111101=≮⫘↔-11100101111010","layer":3},{"info":"≮⫘↔1100011110111⫞⩸⩒≮⫘↔110110001111=≮⫘↔110110001111","layer":3},{"info":"≮⫘↔-11100101111010⊔≮⫘↔110110001111=≮⫘↔10000011111100111","layer":2},{"info":"≮⫘↔1000011⪎↠≮⫘↔10000011111100111=≮⫘↔1110100111","layer":1},{"info":"↡≮⫘↔101001101101=≮⫘↔101110111010101","layer":3},{"info":"-≮⫘↔101110111010101=≮⫘↔-101110111010101","layer":2},{"info":"≮⫘↔1000111011010⨟⋌⩍≮⫘↔1011101001111=NaN","layer":3},{"info":"⫡⇟⇯NaN=NaN","layer":2},{"info":"≮⫘↔-101110111010101⪶≀⋏NaN=NaN","layer":1},{"info":"≮⫘↔1110100111≥⨤⩑NaN=≮⫘↔10011010010","layer":0}]}
{"id":847,"expression_no_base_symbol":"((∤$1113$)⪮%⊝$1274$↳≱$1150$⨸⪁(⪛⨧$1465$⇤$8167$))⨫⇇↔($3818$∌$1358$∑⇟⊟($2213$⪡$5327$)*($3171$⪉⨛$1101$)≴⪞⇿(⨈⫕$2105$))","expression":"((∤≮⫘↔10001011001)⪮%⊝≮⫘↔10011111010↳≱≮⫘↔10001111110⨸⪁(⪛⨧≮⫘↔10110111001⇤≮⫘↔1111111100111))⨫⇇↔(≮⫘↔111011101010∌≮⫘↔10101001110∑⇟⊟(≮⫘↔100010100101⪡≮⫘↔1010011001111)*(≮⫘↔110001100011⪉⨛≮⫘↔10001001101)≴⪞⇿(⨈⫕≮⫘↔100000111001))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20601,"operation_count":14,"complexity_ratio":1471.5,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1113,"base":2}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1274,"base":2},"right_expr":{"type":"numeric_atoms","value":1150,"base":2}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1465,"base":2},"right_expr":{"type":"numeric_atoms","value":8167,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3818,"base":2},"right_expr":{"type":"numeric_atoms","value":1358,"base":2}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2213,"base":2},"right_expr":{"type":"numeric_atoms","value":5327,"base":2}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3171,"base":2},"right_expr":{"type":"numeric_atoms","value":1101,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2105,"base":2}}}}},"used_operators":["LXhwmt4mBO","g55IO6H4Gj","IWmyXbctLI","k2HlF1dBQh","JwTKLfZU96","6NJAcO2OWT","YSKBFp38Pu","9HNa5Wba9A","U7g4x0WXJJ","8cLx32lpNA","oraRL2iQuh","lvlrscuwVU","EWw2JM7wp4","megm06wKyl"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"≮⫘↔-1000001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1274","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=1150, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1465","layer":4},{"info":"number node, value=8167","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=8167, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-45312","layer":3},{"info":"compute unary expreesion, input=-45312, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-89223","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-89223, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3818","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=3818, right_input=1358, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1358","layer":3},{"info":"number node, value=2213","layer":4},{"info":"number node, value=5327","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=5327, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-1358, right_input=107, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3171","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=1101, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=8627","layer":3},{"info":"number node, value=2105","layer":4},{"info":"compute unary expreesion, input=2105, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=8627, right_input=-21, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=139566557","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=139566557, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":2,"result_base":2,"text":"((∤≮⫘↔10001011001)⪮%⊝≮⫘↔10011111010↳≱≮⫘↔10001111110⨸⪁(⪛⨧≮⫘↔10110111001⇤≮⫘↔1111111100111))⨫⇇↔(≮⫘↔111011101010∌≮⫘↔10101001110∑⇟⊟(≮⫘↔100010100101⪡≮⫘↔1010011001111)*(≮⫘↔110001100011⪉⨛≮⫘↔10001001101)≴⪞⇿(⨈⫕≮⫘↔100000111001))=≮⫘↔-1000001111","reverse_text":"≮⫘↔-1000001111=((∤≮⫘↔10001011001)⪮%⊝≮⫘↔10011111010↳≱≮⫘↔10001111110⨸⪁(⪛⨧≮⫘↔10110111001⇤≮⫘↔1111111100111))⨫⇇↔(≮⫘↔111011101010∌≮⫘↔10101001110∑⇟⊟(≮⫘↔100010100101⪡≮⫘↔1010011001111)*(≮⫘↔110001100011⪉⨛≮⫘↔10001001101)≴⪞⇿(⨈⫕≮⫘↔100000111001))","cot":[{"info":"∤≮⫘↔10001011001=≮⫘↔1001","layer":3},{"info":"≮⫘↔10011111010↳≱≮⫘↔10001111110=≮⫘↔0","layer":3},{"info":"≮⫘↔1001⪮%⊝≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10110111001⇤≮⫘↔1111111100111=≮⫘↔-1011000100000000","layer":3},{"info":"⪛⨧≮⫘↔-1011000100000000=≮⫘↔-10101110010000111","layer":2},{"info":"NaN⨸⪁≮⫘↔-10101110010000111=NaN","layer":1},{"info":"≮⫘↔111011101010∌≮⫘↔10101001110=≮⫘↔-10101001110","layer":3},{"info":"≮⫘↔100010100101⪡≮⫘↔1010011001111=≮⫘↔1101011","layer":3},{"info":"≮⫘↔-10101001110∑⇟⊟≮⫘↔1101011=NaN","layer":2},{"info":"≮⫘↔110001100011⪉⨛≮⫘↔10001001101=≮⫘↔10000110110011","layer":3},{"info":"⨈⫕≮⫘↔100000111001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔10000110110011≴⪞⇿≮⫘↔-10101=≮⫘↔1000010100011001110111011101","layer":2},{"info":"NaN*≮⫘↔1000010100011001110111011101=NaN","layer":1},{"info":"NaN⨫⇇↔NaN=≮⫘↔-1000001111","layer":0}]}
{"id":848,"expression_no_base_symbol":"($2807$/$1177$)⩇∃⫛$2225$⊴$1197$⪶≀⋏$4829$≁↽≥$4932$↞⋁($1419$↼⊘⨖$7298$)∠⫱((≤/$2241$≄⊠$2764$)⋭≵($1702$⫯⪬∳$6958$)⪎↠($4138$∙⊟$2690$))","expression":"(≮⫘↔101011110111/≮⫘↔10010011001)⩇∃⫛≮⫘↔100010110001⊴≮⫘↔10010101101⪶≀⋏≮⫘↔1001011011101≁↽≥≮⫘↔1001101000100↞⋁(≮⫘↔10110001011↼⊘⨖≮⫘↔1110010000010)∠⫱((≤/≮⫘↔100011000001≄⊠≮⫘↔101011001100)⋭≵(≮⫘↔11010100110⫯⪬∳≮⫘↔1101100101110)⪎↠(≮⫘↔1000000101010∙⊟≮⫘↔101010000010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9361,"operation_count":14,"complexity_ratio":668.6428571428571,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2807,"base":2},"right_expr":{"type":"numeric_atoms","value":1177,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2225,"base":2},"right_expr":{"type":"numeric_atoms","value":1197,"base":2}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4829,"base":2},"right_expr":{"type":"numeric_atoms","value":4932,"base":2}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1419,"base":2},"right_expr":{"type":"numeric_atoms","value":7298,"base":2}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2241,"base":2},"right_expr":{"type":"numeric_atoms","value":2764,"base":2}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1702,"base":2},"right_expr":{"type":"numeric_atoms","value":6958,"base":2}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4138,"base":2},"right_expr":{"type":"numeric_atoms","value":2690,"base":2}}}}},"used_operators":["QvoQhV0rrE","zR4jO40bMj","1aApVXNlOP","XhwjNDsVaA","Nsiff2A1zJ","RqrPlJkxDo","ncHt1X6cMc","bPywburJMS","jBncVCNhdl","eLAdDNolq6","vXNesLlMH1","3tVxb0NHM4","d7ASUq0ydm","SxTAKzQCrw"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2807","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=1177, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=2225","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=1197, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=4829","layer":4},{"info":"number node, value=4932","layer":4},{"info":"compute binary expreesion, left_input=4829, right_input=4932, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=62757","layer":3},{"info":"number node, value=1419","layer":4},{"info":"number node, value=7298","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=7298, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=14374","layer":3},{"info":"compute binary expreesion, left_input=62757, right_input=14374, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=2241","layer":4},{"info":"number node, value=2764","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=2764, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=48892","layer":3},{"info":"compute unary expreesion, input=48892, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-48408","layer":2},{"info":"number node, value=1702","layer":4},{"info":"number node, value=6958","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=6958, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1585","layer":3},{"info":"number node, value=4138","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=4138, right_input=2690, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=63640","layer":3},{"info":"compute binary expreesion, left_input=1585, right_input=63640, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-48408, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101011110111/≮⫘↔10010011001)⩇∃⫛≮⫘↔100010110001⊴≮⫘↔10010101101⪶≀⋏≮⫘↔1001011011101≁↽≥≮⫘↔1001101000100↞⋁(≮⫘↔10110001011↼⊘⨖≮⫘↔1110010000010)∠⫱((≤/≮⫘↔100011000001≄⊠≮⫘↔101011001100)⋭≵(≮⫘↔11010100110⫯⪬∳≮⫘↔1101100101110)⪎↠(≮⫘↔1000000101010∙⊟≮⫘↔101010000010))=NaN","reverse_text":"NaN=(≮⫘↔101011110111/≮⫘↔10010011001)⩇∃⫛≮⫘↔100010110001⊴≮⫘↔10010101101⪶≀⋏≮⫘↔1001011011101≁↽≥≮⫘↔1001101000100↞⋁(≮⫘↔10110001011↼⊘⨖≮⫘↔1110010000010)∠⫱((≤/≮⫘↔100011000001≄⊠≮⫘↔101011001100)⋭≵(≮⫘↔11010100110⫯⪬∳≮⫘↔1101100101110)⪎↠(≮⫘↔1000000101010∙⊟≮⫘↔101010000010))","cot":[{"info":"≮⫘↔101011110111/≮⫘↔10010011001=≮⫘↔10","layer":3},{"info":"≮⫘↔100010110001⊴≮⫘↔10010101101=NaN","layer":3},{"info":"≮⫘↔10⩇∃⫛NaN=NaN","layer":2},{"info":"≮⫘↔1001011011101≁↽≥≮⫘↔1001101000100=≮⫘↔1111010100100101","layer":3},{"info":"≮⫘↔10110001011↼⊘⨖≮⫘↔1110010000010=≮⫘↔11100000100110","layer":3},{"info":"≮⫘↔1111010100100101↞⋁≮⫘↔11100000100110=NaN","layer":2},{"info":"NaN⪶≀⋏NaN=NaN","layer":1},{"info":"≮⫘↔100011000001≄⊠≮⫘↔101011001100=≮⫘↔1011111011111100","layer":3},{"info":"≤/≮⫘↔1011111011111100=≮⫘↔-1011110100011000","layer":2},{"info":"≮⫘↔11010100110⫯⪬∳≮⫘↔1101100101110=≮⫘↔11000110001","layer":3},{"info":"≮⫘↔1000000101010∙⊟≮⫘↔101010000010=≮⫘↔1111100010011000","layer":3},{"info":"≮⫘↔11000110001⪎↠≮⫘↔1111100010011000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-1011110100011000⋭≵≮⫘↔10100000=≮⫘↔1000011","layer":1},{"info":"NaN∠⫱≮⫘↔1000011=NaN","layer":0}]}
{"id":849,"expression_no_base_symbol":"((⋃$1063$⨽∌$3399$)⩏)⊲⩕⊾($1662$⨫⇇↔$5492$⨓(→⩰$1390$))⇡⇂($1237$⨂≜$5118$≎⊠⪸(⪸$3205$))","expression":"((⋃≮⫘↔10000100111⨽∌≮⫘↔110101000111)⩏)⊲⩕⊾(≮⫘↔11001111110⨫⇇↔≮⫘↔1010101110100⨓(→⩰≮⫘↔10101101110))⇡⇂(≮⫘↔10011010101⨂≜≮⫘↔1001111111110≎⊠⪸(⪸≮⫘↔110010000101))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5293,"operation_count":11,"complexity_ratio":481.1818181818182,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":3399,"base":2}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1662,"base":2},"right_expr":{"type":"numeric_atoms","value":5492,"base":2}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1390,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1237,"base":2},"right_expr":{"type":"numeric_atoms","value":5118,"base":2}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":3205,"base":2}}}}},"used_operators":["DmTXOeWf9t","iA2gmKZ3Wj","3mBM5G4a3l","9samAPKr6k","UMwdvZNt44","3ViojmjbAp","LXhwmt4mBO","o8Pngz0Tml","bJkvcejdHO","k1SHOSEABc","86A5ENbKR9"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","z6LnFrNh4i","Tcnh7f0tEr","g55IO6H4Gj","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=3399","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=3399, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=102","layer":2},{"info":"compute unary expreesion, input=102, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"number node, value=1662","layer":4},{"info":"number node, value=5492","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=5492, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1390","layer":4},{"info":"compute unary expreesion, input=1390, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1237","layer":4},{"info":"number node, value=5118","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=5118, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3205","layer":4},{"info":"compute unary expreesion, input=3205, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-54276","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-54276, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋃≮⫘↔10000100111⨽∌≮⫘↔110101000111)⩏)⊲⩕⊾(≮⫘↔11001111110⨫⇇↔≮⫘↔1010101110100⨓(→⩰≮⫘↔10101101110))⇡⇂(≮⫘↔10011010101⨂≜≮⫘↔1001111111110≎⊠⪸(⪸≮⫘↔110010000101))=NaN","reverse_text":"NaN=((⋃≮⫘↔10000100111⨽∌≮⫘↔110101000111)⩏)⊲⩕⊾(≮⫘↔11001111110⨫⇇↔≮⫘↔1010101110100⨓(→⩰≮⫘↔10101101110))⇡⇂(≮⫘↔10011010101⨂≜≮⫘↔1001111111110≎⊠⪸(⪸≮⫘↔110010000101))","cot":[{"info":"≮⫘↔10000100111⨽∌≮⫘↔110101000111=≮⫘↔0","layer":3},{"info":"⋃≮⫘↔0=≮⫘↔1100110","layer":2},{"info":"≮⫘↔1100110⩏=≮⫘↔0","layer":1},{"info":"≮⫘↔11001111110⨫⇇↔≮⫘↔1010101110100=≮⫘↔-1000001111","layer":3},{"info":"→⩰≮⫘↔10101101110=NaN","layer":3},{"info":"≮⫘↔-1000001111⨓NaN=NaN","layer":2},{"info":"≮⫘↔10011010101⨂≜≮⫘↔1001111111110=NaN","layer":3},{"info":"⪸≮⫘↔110010000101=≮⫘↔-1101010000000100","layer":3},{"info":"NaN≎⊠⪸≮⫘↔-1101010000000100=≮⫘↔1000011","layer":2},{"info":"NaN⇡⇂≮⫘↔1000011=NaN","layer":1},{"info":"≮⫘↔0⊲⩕⊾NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"($1429$⪔$6413$≳⇉($8736$⊋≦⊧$5379$))⇤($1066$⊋$8190$⫸⊐$3976$≭$5754$)∽((($1295$⨔≚≋$3124$)≚⋢)⊪)","expression":"(≮⫘↔10110010101⪔≮⫘↔1100100001101≳⇉(≮⫘↔10001000100000⊋≦⊧≮⫘↔1010100000011))⇤(≮⫘↔10000101010⊋≮⫘↔1111111111110⫸⊐≮⫘↔111110001000≭≮⫘↔1011001111010)∽(((≮⫘↔10100001111⨔≚≋≮⫘↔110000110100)≚⋢)⊪)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":236887,"operation_count":11,"complexity_ratio":21535.18181818182,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1429,"base":2},"right_expr":{"type":"numeric_atoms","value":6413,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":8736,"base":2},"right_expr":{"type":"numeric_atoms","value":5379,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1066,"base":2},"right_expr":{"type":"numeric_atoms","value":8190,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3976,"base":2},"right_expr":{"type":"numeric_atoms","value":5754,"base":2}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1295,"base":2},"right_expr":{"type":"numeric_atoms","value":3124,"base":2}}}}},"used_operators":["y4ImoPnbV5","YSKBFp38Pu","V0kx6qeWkN","GjBEYRfMaF","oRDoc9rAEX","mqXw5SEYmG","W4tP9CfskL","rxpJgHHUmx","zVYPLywUTj","MahUMFw56D","Z57zeUYC9z"],"dependent_operators":["NTOWxs364D","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"number node, value=6413","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=6413, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=8736","layer":4},{"info":"number node, value=5379","layer":4},{"info":"compute binary expreesion, left_input=8736, right_input=5379, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-10518","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-10518, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=-185489052","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=8190","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=8190, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-459646460","layer":3},{"info":"number node, value=3976","layer":4},{"info":"number node, value=5754","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=5754, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-459646460, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=-185489052, right_input=968, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=927443268","layer":1},{"info":"number node, value=1295","layer":4},{"info":"number node, value=3124","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=3124, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute unary expreesion, input=-89, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=927443268, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10110010101⪔≮⫘↔1100100001101≳⇉(≮⫘↔10001000100000⊋≦⊧≮⫘↔1010100000011))⇤(≮⫘↔10000101010⊋≮⫘↔1111111111110⫸⊐≮⫘↔111110001000≭≮⫘↔1011001111010)∽(((≮⫘↔10100001111⨔≚≋≮⫘↔110000110100)≚⋢)⊪)=-Inf","reverse_text":"-Inf=(≮⫘↔10110010101⪔≮⫘↔1100100001101≳⇉(≮⫘↔10001000100000⊋≦⊧≮⫘↔1010100000011))⇤(≮⫘↔10000101010⊋≮⫘↔1111111111110⫸⊐≮⫘↔111110001000≭≮⫘↔1011001111010)∽(((≮⫘↔10100001111⨔≚≋≮⫘↔110000110100)≚⋢)⊪)","cot":[{"info":"≮⫘↔10110010101⪔≮⫘↔1100100001101=≮⫘↔111000010","layer":3},{"info":"≮⫘↔10001000100000⊋≦⊧≮⫘↔1010100000011=≮⫘↔-10100100010110","layer":3},{"info":"≮⫘↔111000010≳⇉≮⫘↔-10100100010110=≮⫘↔-1011000011100101011010011100","layer":2},{"info":"≮⫘↔10000101010⊋≮⫘↔1111111111110=≮⫘↔-11011011001011010010111111100","layer":3},{"info":"≮⫘↔111110001000≭≮⫘↔1011001111010=NaN","layer":3},{"info":"≮⫘↔-11011011001011010010111111100⫸⊐NaN=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔-1011000011100101011010011100⇤≮⫘↔1111001000=≮⫘↔110111010001111010100101000100","layer":1},{"info":"≮⫘↔10100001111⨔≚≋≮⫘↔110000110100=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔10011010010000≚⋢=≮⫘↔-1011001","layer":2},{"info":"≮⫘↔-1011001⊪=≮⫘↔0","layer":1},{"info":"≮⫘↔110111010001111010100101000100∽≮⫘↔0=-Inf","layer":0}]}
{"id":851,"expression_no_base_symbol":"≸≮($1380$⫰⋱$4575$↡⊰⫅$3132$≨$1831$)⨸(($1340$∖$2639$)⊜)","expression":"≸≮(≮⫘↔10101100100⫰⋱≮⫘↔1000111011111↡⊰⫅≮⫘↔110000111100≨≮⫘↔11100100111)⨸((≮⫘↔10100111100∖≮⫘↔101001001111)⊜)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":404446,"operation_count":7,"complexity_ratio":57778.0,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1380,"base":2},"right_expr":{"type":"numeric_atoms","value":4575,"base":2}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3132,"base":2},"right_expr":{"type":"numeric_atoms","value":1831,"base":2}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1340,"base":2},"right_expr":{"type":"numeric_atoms","value":2639,"base":2}}}}},"used_operators":["AljMvE3RRm","KmoU8R5UQR","VCtxkLNOzz","6o9Blt3TJ6","0KMCeP1Jsh","Eev2Q7dYIw","tXD093vOjl"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1380","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=4575, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1347","layer":3},{"info":"number node, value=3132","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=1831, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-28844","layer":3},{"info":"compute binary expreesion, left_input=-1347, right_input=-28844, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=2639, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1736","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1736, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≸≮(≮⫘↔10101100100⫰⋱≮⫘↔1000111011111↡⊰⫅≮⫘↔110000111100≨≮⫘↔11100100111)⨸((≮⫘↔10100111100∖≮⫘↔101001001111)⊜)=NaN","reverse_text":"NaN=≸≮(≮⫘↔10101100100⫰⋱≮⫘↔1000111011111↡⊰⫅≮⫘↔110000111100≨≮⫘↔11100100111)⨸((≮⫘↔10100111100∖≮⫘↔101001001111)⊜)","cot":[{"info":"≮⫘↔10101100100⫰⋱≮⫘↔1000111011111=≮⫘↔-10101000011","layer":3},{"info":"≮⫘↔110000111100≨≮⫘↔11100100111=≮⫘↔-111000010101100","layer":3},{"info":"≮⫘↔-10101000011↡⊰⫅≮⫘↔-111000010101100=NaN","layer":2},{"info":"≮⫘↔10100111100∖≮⫘↔101001001111=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊜=≮⫘↔11011001000","layer":2},{"info":"NaN⨸≮⫘↔11011001000=NaN","layer":1},{"info":"≸≮NaN=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"(((⩪∧⨌$3015$)≬⋮$7630$∼$2631$)⫰⋱($1640$⇷$1475$⫸⊐$7347$⋓$4780$))⫣⪄⊒((≀↧⇸$1130$⨼⩣$7158$)⪍↜⋙(($1556$⫻⋑⊟)↡⊰⫅$4518$↺$2081$))","expression":"(((⩪∧⨌≮⫘↔101111000111)≬⋮≮⫘↔1110111001110∼≮⫘↔101001000111)⫰⋱(≮⫘↔11001101000⇷≮⫘↔10111000011⫸⊐≮⫘↔1110010110011⋓≮⫘↔1001010101100))⫣⪄⊒((≀↧⇸≮⫘↔10001101010⨼⩣≮⫘↔1101111110110)⪍↜⋙((≮⫘↔11000010100⫻⋑⊟)↡⊰⫅≮⫘↔1000110100110↺≮⫘↔100000100001))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":52789,"operation_count":14,"complexity_ratio":3770.6428571428573,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":3015,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7630,"base":2},"right_expr":{"type":"numeric_atoms","value":2631,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1640,"base":2},"right_expr":{"type":"numeric_atoms","value":1475,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7347,"base":2},"right_expr":{"type":"numeric_atoms","value":4780,"base":2}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1130,"base":2},"right_expr":{"type":"numeric_atoms","value":7158,"base":2}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1556,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4518,"base":2},"right_expr":{"type":"numeric_atoms","value":2081,"base":2}}}}},"used_operators":["RabNbG55vr","6o9Blt3TJ6","kbkesczE7y","6iOiAJX1F8","DyGG3AbaNP","mqXw5SEYmG","mp7IySMOzn","T2fj7uvVaJ","L05ObWFQCd","ljTHtUsqzn","JxwMv5le6e","VCtxkLNOzz","o575Zjdmzy","7j4O788W3g"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3015","layer":4},{"info":"compute unary expreesion, input=3015, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=30150","layer":3},{"info":"number node, value=7630","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=7630, right_input=2631, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=30150, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"number node, value=1640","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=1475, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2950","layer":3},{"info":"number node, value=7347","layer":4},{"info":"number node, value=4780","layer":4},{"info":"compute binary expreesion, left_input=7347, right_input=4780, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2950, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-125, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=1130","layer":4},{"info":"number node, value=7158","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=7158, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":2},{"info":"number node, value=1556","layer":4},{"info":"compute unary expreesion, input=1556, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2602","layer":3},{"info":"number node, value=4518","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=4518, right_input=2081, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2081","layer":3},{"info":"compute binary expreesion, left_input=-2602, right_input=2081, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4162","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4162, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(((⩪∧⨌≮⫘↔101111000111)≬⋮≮⫘↔1110111001110∼≮⫘↔101001000111)⫰⋱(≮⫘↔11001101000⇷≮⫘↔10111000011⫸⊐≮⫘↔1110010110011⋓≮⫘↔1001010101100))⫣⪄⊒((≀↧⇸≮⫘↔10001101010⨼⩣≮⫘↔1101111110110)⪍↜⋙((≮⫘↔11000010100⫻⋑⊟)↡⊰⫅≮⫘↔1000110100110↺≮⫘↔100000100001))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(((⩪∧⨌≮⫘↔101111000111)≬⋮≮⫘↔1110111001110∼≮⫘↔101001000111)⫰⋱(≮⫘↔11001101000⇷≮⫘↔10111000011⫸⊐≮⫘↔1110010110011⋓≮⫘↔1001010101100))⫣⪄⊒((≀↧⇸≮⫘↔10001101010⨼⩣≮⫘↔1101111110110)⪍↜⋙((≮⫘↔11000010100⫻⋑⊟)↡⊰⫅≮⫘↔1000110100110↺≮⫘↔100000100001))","cot":[{"info":"⩪∧⨌≮⫘↔101111000111=≮⫘↔111010111000110","layer":3},{"info":"≮⫘↔1110111001110∼≮⫘↔101001000111=NaN","layer":3},{"info":"≮⫘↔111010111000110≬⋮NaN=NaN","layer":2},{"info":"≮⫘↔11001101000⇷≮⫘↔10111000011=≮⫘↔101110000110","layer":3},{"info":"≮⫘↔1110010110011⋓≮⫘↔1001010101100=≮⫘↔0","layer":3},{"info":"≮⫘↔101110000110⫸⊐≮⫘↔0=≮⫘↔-1111101","layer":2},{"info":"NaN⫰⋱≮⫘↔-1111101=NaN","layer":1},{"info":"≮⫘↔10001101010⨼⩣≮⫘↔1101111110110=NaN","layer":3},{"info":"≀↧⇸NaN=NaN","layer":2},{"info":"≮⫘↔11000010100⫻⋑⊟=≮⫘↔-101000101010","layer":3},{"info":"≮⫘↔1000110100110↺≮⫘↔100000100001=≮⫘↔100000100001","layer":3},{"info":"≮⫘↔-101000101010↡⊰⫅≮⫘↔100000100001=≮⫘↔1000001000010","layer":2},{"info":"NaN⪍↜⋙≮⫘↔1000001000010=NaN","layer":1},{"info":"NaN⫣⪄⊒NaN=≮⫘↔10100000","layer":0}]}
{"id":853,"expression_no_base_symbol":"(($1351$∴≳≥)⪭≯$8230$⇂≾⫗$2637$≋⫹)⫑%∭","expression":"((≮⫘↔10101000111∴≳≥)⪭≯≮⫘↔10000000100110⇂≾⫗≮⫘↔101001001101≋⫹)⫑%∭","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":681,"operation_count":5,"complexity_ratio":136.2,"tree":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1351,"base":2}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":8230,"base":2},"right_expr":{"type":"numeric_atoms","value":2637,"base":2}}}}},"used_operators":["xUx7qlDO4z","N41Kp7NANJ","XAx5wpdLa6","a3N2hFLK0J","aBQ6xLxuTc"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"compute unary expreesion, input=1351, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=5404","layer":3},{"info":"number node, value=8230","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=8230, right_input=2637, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=5404, right_input=-676, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101000111∴≳≥)⪭≯≮⫘↔10000000100110⇂≾⫗≮⫘↔101001001101≋⫹)⫑%∭=NaN","reverse_text":"NaN=((≮⫘↔10101000111∴≳≥)⪭≯≮⫘↔10000000100110⇂≾⫗≮⫘↔101001001101≋⫹)⫑%∭","cot":[{"info":"≮⫘↔10101000111∴≳≥=≮⫘↔1010100011100","layer":3},{"info":"≮⫘↔10000000100110⇂≾⫗≮⫘↔101001001101=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔1010100011100⪭≯≮⫘↔-1010100100=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"NaN⫑%∭=NaN","layer":0}]}
{"id":854,"expression_no_base_symbol":"($1289$∛$2024$)≌($2637$≦↸$5988$)⫁(($1224$*$1699$)≦↸($1298$⊲⩕⊾$4921$))∼(($1231$⊨$4995$)⇣⩺⋵(⊀$2606$))⊢(($1699$⨳⩥⨓$1681$)⫲⨊)","expression":"(≮⫘↔10100001001∛≮⫘↔11111101000)≌(≮⫘↔101001001101≦↸≮⫘↔1011101100100)⫁((≮⫘↔10011001000*≮⫘↔11010100011)≦↸(≮⫘↔10100010010⊲⩕⊾≮⫘↔1001100111001))∼((≮⫘↔10011001111⊨≮⫘↔1001110000011)⇣⩺⋵(⊀≮⫘↔101000101110))⊢((≮⫘↔11010100011⨳⩥⨓≮⫘↔11010010001)⫲⨊)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6256696,"operation_count":14,"complexity_ratio":446906.85714285716,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1289,"base":2},"right_expr":{"type":"numeric_atoms","value":2024,"base":2}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2637,"base":2},"right_expr":{"type":"numeric_atoms","value":5988,"base":2}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1224,"base":2},"right_expr":{"type":"numeric_atoms","value":1699,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1298,"base":2},"right_expr":{"type":"numeric_atoms","value":4921,"base":2}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1231,"base":2},"right_expr":{"type":"numeric_atoms","value":4995,"base":2}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2606,"base":2}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1699,"base":2},"right_expr":{"type":"numeric_atoms","value":1681,"base":2}}}}},"used_operators":["DyGG3AbaNP","0ajvFaJAv0","lyWz822IDG","w2537kitQq","RygbFNSyEJ","9HNa5Wba9A","DmTXOeWf9t","5twsqlHp2o","F4yD0voBRQ","vg4gO5BX6G","oPMjh9089D","CArV6hThFE","nCS4ZIUYfx"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","cHh1gJQ2o6","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1289","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=2024, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2637","layer":4},{"info":"number node, value=5988","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=5988, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-16569","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-16569, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1699, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2079576","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=4921","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=4921, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-66608","layer":3},{"info":"compute binary expreesion, left_input=2079576, right_input=-66608, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-2078895","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2078895, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=1231","layer":4},{"info":"number node, value=4995","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=4995, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5955","layer":3},{"info":"number node, value=2606","layer":4},{"info":"compute unary expreesion, input=2606, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=10162","layer":3},{"info":"compute binary expreesion, left_input=5955, right_input=10162, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1699","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=1681, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-18","layer":3},{"info":"compute unary expreesion, input=-18, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=693","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=693, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=276","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=276, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100001001∛≮⫘↔11111101000)≌(≮⫘↔101001001101≦↸≮⫘↔1011101100100)⫁((≮⫘↔10011001000*≮⫘↔11010100011)≦↸(≮⫘↔10100010010⊲⩕⊾≮⫘↔1001100111001))∼((≮⫘↔10011001111⊨≮⫘↔1001110000011)⇣⩺⋵(⊀≮⫘↔101000101110))⊢((≮⫘↔11010100011⨳⩥⨓≮⫘↔11010010001)⫲⨊)=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔10100001001∛≮⫘↔11111101000)≌(≮⫘↔101001001101≦↸≮⫘↔1011101100100)⫁((≮⫘↔10011001000*≮⫘↔11010100011)≦↸(≮⫘↔10100010010⊲⩕⊾≮⫘↔1001100111001))∼((≮⫘↔10011001111⊨≮⫘↔1001110000011)⇣⩺⋵(⊀≮⫘↔101000101110))⊢((≮⫘↔11010100011⨳⩥⨓≮⫘↔11010010001)⫲⨊)","cot":[{"info":"≮⫘↔10100001001∛≮⫘↔11111101000=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔101001001101≦↸≮⫘↔1011101100100=≮⫘↔-100000010111001","layer":3},{"info":"≮⫘↔-1010011110≌≮⫘↔-100000010111001=NaN","layer":2},{"info":"≮⫘↔10011001000*≮⫘↔11010100011=≮⫘↔111111011101101011000","layer":3},{"info":"≮⫘↔10100010010⊲⩕⊾≮⫘↔1001100111001=≮⫘↔-10000010000110000","layer":3},{"info":"≮⫘↔111111011101101011000≦↸≮⫘↔-10000010000110000=≮⫘↔-111111011100010101111","layer":2},{"info":"NaN⫁≮⫘↔-111111011100010101111=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10011001111⊨≮⫘↔1001110000011=≮⫘↔1011101000011","layer":3},{"info":"⊀≮⫘↔101000101110=≮⫘↔10011110110010","layer":3},{"info":"≮⫘↔1011101000011⇣⩺⋵≮⫘↔10011110110010=≮⫘↔-100000100","layer":2},{"info":"≮⫘↔11010100011⨳⩥⨓≮⫘↔11010010001=≮⫘↔-10010","layer":3},{"info":"≮⫘↔-10010⫲⨊=≮⫘↔1010110101","layer":2},{"info":"≮⫘↔-100000100⊢≮⫘↔1010110101=≮⫘↔100010100","layer":1},{"info":"≮⫘↔10100000∼≮⫘↔100010100=≮⫘↔0","layer":0}]}
{"id":855,"expression_no_base_symbol":"($1309$∌↝$1025$⫰⋱$4027$⨫⇇↔$2430$)⊴($1347$⫳≱↱$1028$)∳⫺($1652$⫳≱↱$5870$)⇣⩺⋵((($7955$≒∊$4309$)⫚⫇)∙⊟((⋗⩬⋾$1169$)⋻⩜⩜$1690$∥⊢⊲$4267$))","expression":"(≮⫘↔10100011101∌↝≮⫘↔10000000001⫰⋱≮⫘↔111110111011⨫⇇↔≮⫘↔100101111110)⊴(≮⫘↔10101000011⫳≱↱≮⫘↔10000000100)∳⫺(≮⫘↔11001110100⫳≱↱≮⫘↔1011011101110)⇣⩺⋵(((≮⫘↔1111100010011≒∊≮⫘↔1000011010101)⫚⫇)∙⊟((⋗⩬⋾≮⫘↔10010010001)⋻⩜⩜≮⫘↔11010011010∥⊢⊲≮⫘↔1000010101011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1831,"operation_count":14,"complexity_ratio":130.78571428571428,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1309,"base":2},"right_expr":{"type":"numeric_atoms","value":1025,"base":2}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4027,"base":2},"right_expr":{"type":"numeric_atoms","value":2430,"base":2}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1347,"base":2},"right_expr":{"type":"numeric_atoms","value":1028,"base":2}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1652,"base":2},"right_expr":{"type":"numeric_atoms","value":5870,"base":2}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":7955,"base":2},"right_expr":{"type":"numeric_atoms","value":4309,"base":2}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1169,"base":2}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1690,"base":2},"right_expr":{"type":"numeric_atoms","value":4267,"base":2}}}}},"used_operators":["F4yD0voBRQ","Nsiff2A1zJ","6o9Blt3TJ6","9Isq31Ruls","LXhwmt4mBO","AzXXKTstlj","ZvLB05nZmT","SxTAKzQCrw","SdCjLnB6rR","5KTvxBwnZo","oDCm7WA9JY","DpFCA1CohY","v1UQAVDJRr"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC"],"result":"≮⫘↔-100000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=1025, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=4027","layer":4},{"info":"number node, value=2430","layer":4},{"info":"compute binary expreesion, left_input=4027, right_input=2430, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=594","layer":2},{"info":"number node, value=1347","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1028, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1652","layer":4},{"info":"number node, value=5870","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=5870, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-204, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-346","layer":2},{"info":"compute binary expreesion, left_input=594, right_input=-346, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=7955","layer":4},{"info":"number node, value=4309","layer":4},{"info":"compute binary expreesion, left_input=7955, right_input=4309, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-7471","layer":3},{"info":"compute unary expreesion, input=-7471, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3507","layer":3},{"info":"number node, value=1690","layer":4},{"info":"number node, value=4267","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=4267, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3507, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-522, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22530","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=22530, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100011101∌↝≮⫘↔10000000001⫰⋱≮⫘↔111110111011⨫⇇↔≮⫘↔100101111110)⊴(≮⫘↔10101000011⫳≱↱≮⫘↔10000000100)∳⫺(≮⫘↔11001110100⫳≱↱≮⫘↔1011011101110)⇣⩺⋵(((≮⫘↔1111100010011≒∊≮⫘↔1000011010101)⫚⫇)∙⊟((⋗⩬⋾≮⫘↔10010010001)⋻⩜⩜≮⫘↔11010011010∥⊢⊲≮⫘↔1000010101011))=≮⫘↔-100000100","reverse_text":"≮⫘↔-100000100=(≮⫘↔10100011101∌↝≮⫘↔10000000001⫰⋱≮⫘↔111110111011⨫⇇↔≮⫘↔100101111110)⊴(≮⫘↔10101000011⫳≱↱≮⫘↔10000000100)∳⫺(≮⫘↔11001110100⫳≱↱≮⫘↔1011011101110)⇣⩺⋵(((≮⫘↔1111100010011≒∊≮⫘↔1000011010101)⫚⫇)∙⊟((⋗⩬⋾≮⫘↔10010010001)⋻⩜⩜≮⫘↔11010011010∥⊢⊲≮⫘↔1000010101011))","cot":[{"info":"≮⫘↔10100011101∌↝≮⫘↔10000000001=≮⫘↔0","layer":3},{"info":"≮⫘↔111110111011⨫⇇↔≮⫘↔100101111110=≮⫘↔-1000001111","layer":3},{"info":"≮⫘↔0⫰⋱≮⫘↔-1000001111=≮⫘↔1001010010","layer":2},{"info":"≮⫘↔10101000011⫳≱↱≮⫘↔10000000100=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔11001110100⫳≱↱≮⫘↔1011011101110=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔-11001100∳⫺≮⫘↔-11001100=≮⫘↔-101011010","layer":2},{"info":"≮⫘↔1001010010⊴≮⫘↔-101011010=NaN","layer":1},{"info":"≮⫘↔1111100010011≒∊≮⫘↔1000011010101=≮⫘↔-1110100101111","layer":3},{"info":"≮⫘↔-1110100101111⫚⫇=≮⫘↔-1000001010","layer":2},{"info":"⋗⩬⋾≮⫘↔10010010001=≮⫘↔-110110110011","layer":3},{"info":"≮⫘↔11010011010∥⊢⊲≮⫘↔1000010101011=NaN","layer":3},{"info":"≮⫘↔-110110110011⋻⩜⩜NaN=NaN","layer":2},{"info":"≮⫘↔-1000001010∙⊟NaN=≮⫘↔101100000000010","layer":1},{"info":"NaN⇣⩺⋵≮⫘↔101100000000010=≮⫘↔-100000100","layer":0}]}
{"id":856,"expression_no_base_symbol":"(↥≼⋛($6730$⇴∐$2504$)∴$1787$⨸$1130$)⫠↝⫳","expression":"(↥≼⋛(≮⫘↔1101001001010⇴∐≮⫘↔100111001000)∴≮⫘↔11011111011⨸≮⫘↔10001101010)⫠↝⫳","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1961,"operation_count":5,"complexity_ratio":392.2,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":6730,"base":2},"right_expr":{"type":"numeric_atoms","value":2504,"base":2}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1787,"base":2},"right_expr":{"type":"numeric_atoms","value":1130,"base":2}}}}},"used_operators":["8n5YIzOsVS","x5lMkHmzsq","hrf7POJlIJ","HnzytWxmAO","KmoU8R5UQR"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"≮⫘↔-101110110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6730","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=6730, right_input=2504, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1130, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3574","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3574, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute unary expreesion, input=-113, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-2993","layer":0}],"base":2,"result_base":2,"text":"(↥≼⋛(≮⫘↔1101001001010⇴∐≮⫘↔100111001000)∴≮⫘↔11011111011⨸≮⫘↔10001101010)⫠↝⫳=≮⫘↔-101110110001","reverse_text":"≮⫘↔-101110110001=(↥≼⋛(≮⫘↔1101001001010⇴∐≮⫘↔100111001000)∴≮⫘↔11011111011⨸≮⫘↔10001101010)⫠↝⫳","cot":[{"info":"≮⫘↔1101001001010⇴∐≮⫘↔100111001000=NaN","layer":3},{"info":"≮⫘↔11011111011⨸≮⫘↔10001101010=≮⫘↔110111110110","layer":3},{"info":"NaN∴≮⫘↔110111110110=NaN","layer":2},{"info":"↥≼⋛NaN=≮⫘↔-1110001","layer":1},{"info":"≮⫘↔-1110001⫠↝⫳=≮⫘↔-101110110001","layer":0}]}
{"id":857,"expression_no_base_symbol":"(↣≠⋷(($1000$⪛⫼$2305$)⫒⫫$1619$⫉⨲⊜$1121$))⫰⋱($4093$⋝⋈⪟$3754$⩨$4423$⪟⇏$1311$)∊∟⩊((∮$2621$)⪛$1361$⨔⇊$1215$)","expression":"(↣≠⋷((≮⫘↔1111101000⪛⫼≮⫘↔100100000001)⫒⫫≮⫘↔11001010011⫉⨲⊜≮⫘↔10001100001))⫰⋱(≮⫘↔111111111101⋝⋈⪟≮⫘↔111010101010⩨≮⫘↔1000101000111⪟⇏≮⫘↔10100011111)∊∟⩊((∮≮⫘↔101000111101)⪛≮⫘↔10101010001⨔⇊≮⫘↔10010111111)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":937515,"operation_count":12,"complexity_ratio":78126.25,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1000,"base":2},"right_expr":{"type":"numeric_atoms","value":2305,"base":2}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1619,"base":2},"right_expr":{"type":"numeric_atoms","value":1121,"base":2}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4093,"base":2},"right_expr":{"type":"numeric_atoms","value":3754,"base":2}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4423,"base":2},"right_expr":{"type":"numeric_atoms","value":1311,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2621,"base":2}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1361,"base":2},"right_expr":{"type":"numeric_atoms","value":1215,"base":2}}}}},"used_operators":["6o9Blt3TJ6","Asc51vEJeQ","6Ko8hGgeMq","hyuBjUqXlG","WhqkvtTD3t","ddLRYrp01A","2DlMacCsIx","2DDjHMKMc0","GODebY97qR","uFcxV4UQCh","CqXKPLVYql","JclMnS0uGI"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","XhwjNDsVaA","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eewbuw0ToL","zVYPLywUTj","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2305, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1619","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=1121, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=4093","layer":4},{"info":"number node, value=3754","layer":4},{"info":"compute binary expreesion, left_input=4093, right_input=3754, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4093","layer":3},{"info":"number node, value=4423","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=4423, right_input=1311, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=4093, right_input=-1, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=2621","layer":4},{"info":"compute unary expreesion, input=2621, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1361","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=1215, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1215","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1215, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=67, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↣≠⋷((≮⫘↔1111101000⪛⫼≮⫘↔100100000001)⫒⫫≮⫘↔11001010011⫉⨲⊜≮⫘↔10001100001))⫰⋱(≮⫘↔111111111101⋝⋈⪟≮⫘↔111010101010⩨≮⫘↔1000101000111⪟⇏≮⫘↔10100011111)∊∟⩊((∮≮⫘↔101000111101)⪛≮⫘↔10101010001⨔⇊≮⫘↔10010111111)=NaN","reverse_text":"NaN=(↣≠⋷((≮⫘↔1111101000⪛⫼≮⫘↔100100000001)⫒⫫≮⫘↔11001010011⫉⨲⊜≮⫘↔10001100001))⫰⋱(≮⫘↔111111111101⋝⋈⪟≮⫘↔111010101010⩨≮⫘↔1000101000111⪟⇏≮⫘↔10100011111)∊∟⩊((∮≮⫘↔101000111101)⪛≮⫘↔10101010001⨔⇊≮⫘↔10010111111)","cot":[{"info":"≮⫘↔1111101000⪛⫼≮⫘↔100100000001=≮⫘↔1111001000","layer":3},{"info":"≮⫘↔11001010011⫉⨲⊜≮⫘↔10001100001=≮⫘↔0","layer":3},{"info":"≮⫘↔1111001000⫒⫫≮⫘↔0=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"≮⫘↔111111111101⋝⋈⪟≮⫘↔111010101010=≮⫘↔111111111101","layer":3},{"info":"≮⫘↔1000101000111⪟⇏≮⫘↔10100011111=≮⫘↔-1","layer":3},{"info":"≮⫘↔111111111101⩨≮⫘↔-1=≮⫘↔11","layer":2},{"info":"∮≮⫘↔101000111101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔10101010001⨔⇊≮⫘↔10010111111=≮⫘↔10010111111","layer":3},{"info":"≮⫘↔1000011⪛≮⫘↔10010111111=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11∊∟⩊≮⫘↔1000011=≮⫘↔11","layer":1},{"info":"NaN⫰⋱≮⫘↔11=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"((⊵⊁($6117$⪘⫢$2342$))↦)∴(($4720$⪔⊥$2919$)⩖⊿($1564$⪶≀⋏$2224$)⨒$7085$≦↸$3658$⫸⇳($1218$↱$2124$))","expression":"((⊵⊁(≮⫘↔1011111100101⪘⫢≮⫘↔100100100110))↦)∴((≮⫘↔1001001110000⪔⊥≮⫘↔101101100111)⩖⊿(≮⫘↔11000011100⪶≀⋏≮⫘↔100010110000)⨒≮⫘↔1101110101101≦↸≮⫘↔111001001010⫸⇳(≮⫘↔10011000010↱≮⫘↔100001001100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":239651,"operation_count":11,"complexity_ratio":21786.454545454544,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6117,"base":2},"right_expr":{"type":"numeric_atoms","value":2342,"base":2}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4720,"base":2},"right_expr":{"type":"numeric_atoms","value":2919,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1564,"base":2},"right_expr":{"type":"numeric_atoms","value":2224,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":7085,"base":2},"right_expr":{"type":"numeric_atoms","value":3658,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1218,"base":2},"right_expr":{"type":"numeric_atoms","value":2124,"base":2}}}}},"used_operators":["hrf7POJlIJ","fFznvYxMfW","AvED76WdY7","oacrs7FA3X","y75s1iXyHd","RZ5CV9rWsJ","HJ9erzHUuu","zR4jO40bMj","gx7XJ7hdpj","RygbFNSyEJ","SR5kFfdi6N"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","uBihLCJcMX","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6117","layer":4},{"info":"number node, value=2342","layer":4},{"info":"compute binary expreesion, left_input=6117, right_input=2342, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12110","layer":3},{"info":"compute unary expreesion, input=12110, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=71590","layer":2},{"info":"compute unary expreesion, input=71590, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":1},{"info":"number node, value=4720","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=2919, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=12843","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=2224, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-9372","layer":3},{"info":"compute binary expreesion, left_input=12843, right_input=-9372, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-126430","layer":2},{"info":"number node, value=7085","layer":4},{"info":"number node, value=3658","layer":4},{"info":"compute binary expreesion, left_input=7085, right_input=3658, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-20805","layer":3},{"info":"number node, value=1218","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=2124, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-5850","layer":3},{"info":"compute binary expreesion, left_input=-20805, right_input=-5850, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-126430, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊵⊁(≮⫘↔1011111100101⪘⫢≮⫘↔100100100110))↦)∴((≮⫘↔1001001110000⪔⊥≮⫘↔101101100111)⩖⊿(≮⫘↔11000011100⪶≀⋏≮⫘↔100010110000)⨒≮⫘↔1101110101101≦↸≮⫘↔111001001010⫸⇳(≮⫘↔10011000010↱≮⫘↔100001001100))=NaN","reverse_text":"NaN=((⊵⊁(≮⫘↔1011111100101⪘⫢≮⫘↔100100100110))↦)∴((≮⫘↔1001001110000⪔⊥≮⫘↔101101100111)⩖⊿(≮⫘↔11000011100⪶≀⋏≮⫘↔100010110000)⨒≮⫘↔1101110101101≦↸≮⫘↔111001001010⫸⇳(≮⫘↔10011000010↱≮⫘↔100001001100))","cot":[{"info":"≮⫘↔1011111100101⪘⫢≮⫘↔100100100110=≮⫘↔10111101001110","layer":3},{"info":"⊵⊁≮⫘↔10111101001110=≮⫘↔10001011110100110","layer":2},{"info":"≮⫘↔10001011110100110↦=NaN","layer":1},{"info":"≮⫘↔1001001110000⪔⊥≮⫘↔101101100111=≮⫘↔11001000101011","layer":3},{"info":"≮⫘↔11000011100⪶≀⋏≮⫘↔100010110000=≮⫘↔-10010010011100","layer":3},{"info":"≮⫘↔11001000101011⩖⊿≮⫘↔-10010010011100=≮⫘↔-11110110111011110","layer":2},{"info":"≮⫘↔1101110101101≦↸≮⫘↔111001001010=≮⫘↔-101000101000101","layer":3},{"info":"≮⫘↔10011000010↱≮⫘↔100001001100=≮⫘↔-1011011011010","layer":3},{"info":"≮⫘↔-101000101000101⫸⇳≮⫘↔-1011011011010=≮⫘↔0","layer":2},{"info":"≮⫘↔-11110110111011110⨒≮⫘↔0=≮⫘↔1","layer":1},{"info":"NaN∴≮⫘↔1=NaN","layer":0}]}
{"id":859,"expression_no_base_symbol":"(⨞⊢(∂⩏⊆$2655$))⪎↠($2239$∋$3021$≒∊($1731$⋻⩜⩜$6140$))≚⊃≕(⨛(≯$1781$⪪$5699$))","expression":"(⨞⊢(∂⩏⊆≮⫘↔101001011111))⪎↠(≮⫘↔100010111111∋≮⫘↔101111001101≒∊(≮⫘↔11011000011⋻⩜⩜≮⫘↔1011111111100))≚⊃≕(⨛(≯≮⫘↔11011110101⪪≮⫘↔1011001000011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":91647,"operation_count":10,"complexity_ratio":9164.7,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2655,"base":2}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2239,"base":2},"right_expr":{"type":"numeric_atoms","value":3021,"base":2}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1731,"base":2},"right_expr":{"type":"numeric_atoms","value":6140,"base":2}}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1781,"base":2},"right_expr":{"type":"numeric_atoms","value":5699,"base":2}}}}},"used_operators":["Bmrmz2XGnR","3tVxb0NHM4","xUOZtlo3hN","8WDwsbhb0R","5KTvxBwnZo","ukq6epAj5P","oDCm7WA9JY","CoMdbyAt7R","keWfFq85dY","xD69zh8xqp"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","g55IO6H4Gj","JLbD19bQDL","FU0Cs4j7VP","JclMnS0uGI"],"result":"≮⫘↔-111111000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2655","layer":4},{"info":"compute unary expreesion, input=2655, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-8044","layer":3},{"info":"compute unary expreesion, input=-8044, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=7870","layer":2},{"info":"number node, value=2239","layer":4},{"info":"number node, value=3021","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=3021, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6322268","layer":3},{"info":"number node, value=1731","layer":4},{"info":"number node, value=6140","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=6140, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3462","layer":3},{"info":"compute binary expreesion, left_input=6322268, right_input=3462, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6321784","layer":2},{"info":"compute binary expreesion, left_input=7870, right_input=-6321784, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"number node, value=1781","layer":4},{"info":"number node, value=5699","layer":4},{"info":"compute binary expreesion, left_input=1781, right_input=5699, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-265020","layer":3},{"info":"compute unary expreesion, input=-265020, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-4034","layer":0}],"base":2,"result_base":2,"text":"(⨞⊢(∂⩏⊆≮⫘↔101001011111))⪎↠(≮⫘↔100010111111∋≮⫘↔101111001101≒∊(≮⫘↔11011000011⋻⩜⩜≮⫘↔1011111111100))≚⊃≕(⨛(≯≮⫘↔11011110101⪪≮⫘↔1011001000011))=≮⫘↔-111111000010","reverse_text":"≮⫘↔-111111000010=(⨞⊢(∂⩏⊆≮⫘↔101001011111))⪎↠(≮⫘↔100010111111∋≮⫘↔101111001101≒∊(≮⫘↔11011000011⋻⩜⩜≮⫘↔1011111111100))≚⊃≕(⨛(≯≮⫘↔11011110101⪪≮⫘↔1011001000011))","cot":[{"info":"∂⩏⊆≮⫘↔101001011111=≮⫘↔-1111101101100","layer":3},{"info":"⨞⊢≮⫘↔-1111101101100=≮⫘↔1111010111110","layer":2},{"info":"≮⫘↔100010111111∋≮⫘↔101111001101=≮⫘↔11000000111100001011100","layer":3},{"info":"≮⫘↔11011000011⋻⩜⩜≮⫘↔1011111111100=≮⫘↔110110000110","layer":3},{"info":"≮⫘↔11000000111100001011100≒∊≮⫘↔110110000110=≮⫘↔-11000000111011001111000","layer":2},{"info":"≮⫘↔1111010111110⪎↠≮⫘↔-11000000111011001111000=≮⫘↔10100000","layer":1},{"info":"≮⫘↔11011110101⪪≮⫘↔1011001000011=≮⫘↔-1000000101100111100","layer":3},{"info":"≯≮⫘↔-1000000101100111100=≮⫘↔0","layer":2},{"info":"⨛≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔10100000≚⊃≕NaN=≮⫘↔-111111000010","layer":0}]}
{"id":860,"expression_no_base_symbol":"(⩪∧⨌($3266$∷$2814$↱$2654$⨔⇊$8825$))⇣⩺⋵(((∷≠$5981$)≃$8386$⩍⋽⫝̸$2616$)⫍⨯↯)","expression":"(⩪∧⨌(≮⫘↔110011000010∷≮⫘↔101011111110↱≮⫘↔101001011110⨔⇊≮⫘↔10001001111001))⇣⩺⋵(((∷≠≮⫘↔1011101011101)≃≮⫘↔10000011000010⩍⋽⫝̸≮⫘↔101000111000)⫍⨯↯)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":128,"operation_count":9,"complexity_ratio":14.222222222222221,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3266,"base":2},"right_expr":{"type":"numeric_atoms","value":2814,"base":2}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2654,"base":2},"right_expr":{"type":"numeric_atoms","value":8825,"base":2}}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":5981,"base":2}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":8386,"base":2},"right_expr":{"type":"numeric_atoms","value":2616,"base":2}}}}},"used_operators":["F4yD0voBRQ","6iOiAJX1F8","SR5kFfdi6N","D3AQDKkPcf","JclMnS0uGI","ZcwmYACASQ","YbVcJGFEVW","QiR2Oyf5Xj","BiWNJpBvwn"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","7j4O788W3g","Ph9nP6C5qx","xUOZtlo3hN"],"result":"≮⫘↔-11111101010111011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3266","layer":4},{"info":"number node, value=2814","layer":4},{"info":"compute binary expreesion, left_input=3266, right_input=2814, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2814","layer":3},{"info":"number node, value=2654","layer":4},{"info":"number node, value=8825","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=8825, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=8825","layer":3},{"info":"compute binary expreesion, left_input=2814, right_input=8825, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-25953","layer":2},{"info":"compute unary expreesion, input=-25953, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-259530","layer":1},{"info":"number node, value=5981","layer":4},{"info":"compute unary expreesion, input=5981, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=5981","layer":3},{"info":"number node, value=8386","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=8386, right_input=2616, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1670","layer":3},{"info":"compute binary expreesion, left_input=5981, right_input=1670, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-23964","layer":2},{"info":"compute unary expreesion, input=-23964, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-259530, right_input=-134, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1037790","layer":0}],"base":2,"result_base":2,"text":"(⩪∧⨌(≮⫘↔110011000010∷≮⫘↔101011111110↱≮⫘↔101001011110⨔⇊≮⫘↔10001001111001))⇣⩺⋵(((∷≠≮⫘↔1011101011101)≃≮⫘↔10000011000010⩍⋽⫝̸≮⫘↔101000111000)⫍⨯↯)=≮⫘↔-11111101010111011110","reverse_text":"≮⫘↔-11111101010111011110=(⩪∧⨌(≮⫘↔110011000010∷≮⫘↔101011111110↱≮⫘↔101001011110⨔⇊≮⫘↔10001001111001))⇣⩺⋵(((∷≠≮⫘↔1011101011101)≃≮⫘↔10000011000010⩍⋽⫝̸≮⫘↔101000111000)⫍⨯↯)","cot":[{"info":"≮⫘↔110011000010∷≮⫘↔101011111110=≮⫘↔101011111110","layer":3},{"info":"≮⫘↔101001011110⨔⇊≮⫘↔10001001111001=≮⫘↔10001001111001","layer":3},{"info":"≮⫘↔101011111110↱≮⫘↔10001001111001=≮⫘↔-110010101100001","layer":2},{"info":"⩪∧⨌≮⫘↔-110010101100001=≮⫘↔-111111010111001010","layer":1},{"info":"∷≠≮⫘↔1011101011101=≮⫘↔1011101011101","layer":3},{"info":"≮⫘↔10000011000010⩍⋽⫝̸≮⫘↔101000111000=≮⫘↔11010000110","layer":3},{"info":"≮⫘↔1011101011101≃≮⫘↔11010000110=≮⫘↔-101110110011100","layer":2},{"info":"≮⫘↔-101110110011100⫍⨯↯=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔-111111010111001010⇣⩺⋵≮⫘↔-10000110=≮⫘↔-11111101010111011110","layer":0}]}
{"id":861,"expression_no_base_symbol":"($1623$⋾⨃∁$1238$⨵⪆$2905$⇤$7087$)⋝⋈⪟($1503$⫰⋱$3173$⫚↹⊑($1471$∟))∪⫐($1171$⨟⋌⩍$2763$⊋≦⊧($6873$⩚⊴⇥$5668$))∴(+⊝⨔($2465$⫌⩉⩟$4835$))","expression":"(≮⫘↔11001010111⋾⨃∁≮⫘↔10011010110⨵⪆≮⫘↔101101011001⇤≮⫘↔1101110101111)⋝⋈⪟(≮⫘↔10111011111⫰⋱≮⫘↔110001100101⫚↹⊑(≮⫘↔10110111111∟))∪⫐(≮⫘↔10010010011⨟⋌⩍≮⫘↔101011001011⊋≦⊧(≮⫘↔1101011011001⩚⊴⇥≮⫘↔1011000100100))∴(+⊝⨔(≮⫘↔100110100001⫌⩉⩟≮⫘↔1001011100011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26028,"operation_count":14,"complexity_ratio":1859.142857142857,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1623,"base":2},"right_expr":{"type":"numeric_atoms","value":1238,"base":2}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2905,"base":2},"right_expr":{"type":"numeric_atoms","value":7087,"base":2}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1503,"base":2},"right_expr":{"type":"numeric_atoms","value":3173,"base":2}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1471,"base":2}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1171,"base":2},"right_expr":{"type":"numeric_atoms","value":2763,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6873,"base":2},"right_expr":{"type":"numeric_atoms","value":5668,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2465,"base":2},"right_expr":{"type":"numeric_atoms","value":4835,"base":2}}}}},"used_operators":["7YooWSwCyH","2DDjHMKMc0","2DQ55sFlQl","212REbPD9h","YSKBFp38Pu","dfKe02y8D2","6o9Blt3TJ6","hTbEZDJLEm","hrf7POJlIJ","oRDoc9rAEX","rGHVDoGpnC","NTOWxs364D","DhbWaqg5eL","XIIwhv8d0m"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1623","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=1238, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=15311490","layer":3},{"info":"number node, value=2905","layer":4},{"info":"number node, value=7087","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=7087, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-47112","layer":3},{"info":"compute binary expreesion, left_input=15311490, right_input=-47112, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1503","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=3173, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1470","layer":3},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-1470, right_input=113, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":1},{"info":"number node, value=1171","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=2763, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6873","layer":4},{"info":"number node, value=5668","layer":4},{"info":"compute binary expreesion, left_input=6873, right_input=5668, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12662","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12662, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=2465","layer":4},{"info":"number node, value=4835","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=4835, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11001010111⋾⨃∁≮⫘↔10011010110⨵⪆≮⫘↔101101011001⇤≮⫘↔1101110101111)⋝⋈⪟(≮⫘↔10111011111⫰⋱≮⫘↔110001100101⫚↹⊑(≮⫘↔10110111111∟))∪⫐(≮⫘↔10010010011⨟⋌⩍≮⫘↔101011001011⊋≦⊧(≮⫘↔1101011011001⩚⊴⇥≮⫘↔1011000100100))∴(+⊝⨔(≮⫘↔100110100001⫌⩉⩟≮⫘↔1001011100011))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔11001010111⋾⨃∁≮⫘↔10011010110⨵⪆≮⫘↔101101011001⇤≮⫘↔1101110101111)⋝⋈⪟(≮⫘↔10111011111⫰⋱≮⫘↔110001100101⫚↹⊑(≮⫘↔10110111111∟))∪⫐(≮⫘↔10010010011⨟⋌⩍≮⫘↔101011001011⊋≦⊧(≮⫘↔1101011011001⩚⊴⇥≮⫘↔1011000100100))∴(+⊝⨔(≮⫘↔100110100001⫌⩉⩟≮⫘↔1001011100011))","cot":[{"info":"≮⫘↔11001010111⋾⨃∁≮⫘↔10011010110=≮⫘↔111010011010001010000010","layer":3},{"info":"≮⫘↔101101011001⇤≮⫘↔1101110101111=≮⫘↔-1011100000001000","layer":3},{"info":"≮⫘↔111010011010001010000010⨵⪆≮⫘↔-1011100000001000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10111011111⫰⋱≮⫘↔110001100101=≮⫘↔-10110111110","layer":3},{"info":"≮⫘↔10110111111∟=≮⫘↔1110001","layer":3},{"info":"≮⫘↔-10110111110⫚↹⊑≮⫘↔1110001=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔10100000⋝⋈⪟≮⫘↔-110111111=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10010010011⨟⋌⩍≮⫘↔101011001011=NaN","layer":3},{"info":"≮⫘↔1101011011001⩚⊴⇥≮⫘↔1011000100100=≮⫘↔-11000101110110","layer":3},{"info":"NaN⊋≦⊧≮⫘↔-11000101110110=NaN","layer":2},{"info":"≮⫘↔100110100001⫌⩉⩟≮⫘↔1001011100011=≮⫘↔-110010","layer":3},{"info":"+⊝⨔≮⫘↔-110010=≮⫘↔10111110010","layer":2},{"info":"NaN∴≮⫘↔10111110010=NaN","layer":1},{"info":"≮⫘↔10100000∪⫐NaN=≮⫘↔10100000","layer":0}]}
{"id":862,"expression_no_base_symbol":"(($1575$≃$3832$)∌($1257$⪭≯$3031$)⩺⪪$3032$⩖⊿$3217$⫯⪬∳($2990$⊍⩺⋍$5982$))⩷∴(⇜($3976$/$1611$))⊲⩕⊾$3038$⇤$2181$≚⊃≕(⨵$5775$)","expression":"((≮⫘↔11000100111≃≮⫘↔111011111000)∌(≮⫘↔10011101001⪭≯≮⫘↔101111010111)⩺⪪≮⫘↔101111011000⩖⊿≮⫘↔110010010001⫯⪬∳(≮⫘↔101110101110⊍⩺⋍≮⫘↔1011101011110))⩷∴(⇜(≮⫘↔111110001000/≮⫘↔11001001011))⊲⩕⊾≮⫘↔101111011110⇤≮⫘↔100010000101≚⊃≕(⨵≮⫘↔1011010001111)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1647,"operation_count":14,"complexity_ratio":117.64285714285714,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1575,"base":2},"right_expr":{"type":"numeric_atoms","value":3832,"base":2}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1257,"base":2},"right_expr":{"type":"numeric_atoms","value":3031,"base":2}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3032,"base":2},"right_expr":{"type":"numeric_atoms","value":3217,"base":2}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2990,"base":2},"right_expr":{"type":"numeric_atoms","value":5982,"base":2}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3976,"base":2},"right_expr":{"type":"numeric_atoms","value":1611,"base":2}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3038,"base":2},"right_expr":{"type":"numeric_atoms","value":2181,"base":2}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":5775,"base":2}}}}},"used_operators":["9FxExcQeMw","uvdQJvN4PV","8cLx32lpNA","YbVcJGFEVW","XAx5wpdLa6","d7ASUq0ydm","RZ5CV9rWsJ","OXDGMFPWZM","DmTXOeWf9t","lFBm8KRb8F","XhwjNDsVaA","Bmrmz2XGnR","YSKBFp38Pu","Tl3Y52tvF8"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"≮⫘↔-11100101110111010011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1575","layer":4},{"info":"number node, value=3832","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=3832, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-6340","layer":3},{"info":"number node, value=1257","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=3031, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6340, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6340","layer":2},{"info":"number node, value=3032","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=3032, right_input=3217, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=13526","layer":3},{"info":"number node, value=2990","layer":4},{"info":"number node, value=5982","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=5982, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13526, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=40645","layer":2},{"info":"compute binary expreesion, left_input=-6340, right_input=40645, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"number node, value=3976","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=1611, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=3038","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=2181, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-23247","layer":3},{"info":"number node, value=5775","layer":4},{"info":"compute unary expreesion, input=5775, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-47409","layer":3},{"info":"compute binary expreesion, left_input=-23247, right_input=-47409, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-187972","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=-187972, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=3764258","layer":1},{"info":"compute binary expreesion, left_input=-1818, right_input=3764258, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7532184","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11000100111≃≮⫘↔111011111000)∌(≮⫘↔10011101001⪭≯≮⫘↔101111010111)⩺⪪≮⫘↔101111011000⩖⊿≮⫘↔110010010001⫯⪬∳(≮⫘↔101110101110⊍⩺⋍≮⫘↔1011101011110))⩷∴(⇜(≮⫘↔111110001000/≮⫘↔11001001011))⊲⩕⊾≮⫘↔101111011110⇤≮⫘↔100010000101≚⊃≕(⨵≮⫘↔1011010001111)=≮⫘↔-11100101110111010011000","reverse_text":"≮⫘↔-11100101110111010011000=((≮⫘↔11000100111≃≮⫘↔111011111000)∌(≮⫘↔10011101001⪭≯≮⫘↔101111010111)⩺⪪≮⫘↔101111011000⩖⊿≮⫘↔110010010001⫯⪬∳(≮⫘↔101110101110⊍⩺⋍≮⫘↔1011101011110))⩷∴(⇜(≮⫘↔111110001000/≮⫘↔11001001011))⊲⩕⊾≮⫘↔101111011110⇤≮⫘↔100010000101≚⊃≕(⨵≮⫘↔1011010001111)","cot":[{"info":"≮⫘↔11000100111≃≮⫘↔111011111000=≮⫘↔-1100011000100","layer":3},{"info":"≮⫘↔10011101001⪭≯≮⫘↔101111010111=NaN","layer":3},{"info":"≮⫘↔-1100011000100∌NaN=≮⫘↔-1100011000100","layer":2},{"info":"≮⫘↔101111011000⩖⊿≮⫘↔110010010001=≮⫘↔11010011010110","layer":3},{"info":"≮⫘↔101110101110⊍⩺⋍≮⫘↔1011101011110=NaN","layer":3},{"info":"≮⫘↔11010011010110⫯⪬∳NaN=≮⫘↔1001111011000101","layer":2},{"info":"≮⫘↔-1100011000100⩺⪪≮⫘↔1001111011000101=≮⫘↔-11100011010","layer":1},{"info":"≮⫘↔111110001000/≮⫘↔11001001011=≮⫘↔10","layer":3},{"info":"⇜≮⫘↔10=≮⫘↔11101000","layer":2},{"info":"≮⫘↔101111011110⇤≮⫘↔100010000101=≮⫘↔-101101011001111","layer":3},{"info":"⨵≮⫘↔1011010001111=≮⫘↔-1011100100110001","layer":3},{"info":"≮⫘↔-101101011001111≚⊃≕≮⫘↔-1011100100110001=≮⫘↔-101101111001000100","layer":2},{"info":"≮⫘↔11101000⊲⩕⊾≮⫘↔-101101111001000100=≮⫘↔1110010111000000100010","layer":1},{"info":"≮⫘↔-11100011010⩷∴≮⫘↔1110010111000000100010=≮⫘↔-11100101110111010011000","layer":0}]}
{"id":863,"expression_no_base_symbol":"∑⇻≧(($2888$⪄$6368$)⋭≵$1327$⊴$2964$)∘(($1708$∙∹∝$6896$)≭$1166$⫞⩸⩒$1926$)","expression":"∑⇻≧((≮⫘↔101101001000⪄≮⫘↔1100011100000)⋭≵≮⫘↔10100101111⊴≮⫘↔101110010100)∘((≮⫘↔11010101100∙∹∝≮⫘↔1101011110000)≭≮⫘↔10010001110⫞⩸⩒≮⫘↔11110000110)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3135,"operation_count":8,"complexity_ratio":391.875,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2888,"base":2},"right_expr":{"type":"numeric_atoms","value":6368,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1327,"base":2},"right_expr":{"type":"numeric_atoms","value":2964,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1708,"base":2},"right_expr":{"type":"numeric_atoms","value":6896,"base":2}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1166,"base":2},"right_expr":{"type":"numeric_atoms","value":1926,"base":2}}}}},"used_operators":["l1M9WJ3V7u","Z5m6OM72h2","jBncVCNhdl","SUmda5xLS4","Nsiff2A1zJ","rxpJgHHUmx","HmxsFra2vL","XGcMNugi78"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eH2TOUuTDT","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"≮⫘↔-1101010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2888","layer":4},{"info":"number node, value=6368","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=6368, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-448985","layer":3},{"info":"number node, value=1327","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=2964, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-448985, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1708","layer":4},{"info":"number node, value=6896","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=6896, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1926, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1926","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1926, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":2,"result_base":2,"text":"∑⇻≧((≮⫘↔101101001000⪄≮⫘↔1100011100000)⋭≵≮⫘↔10100101111⊴≮⫘↔101110010100)∘((≮⫘↔11010101100∙∹∝≮⫘↔1101011110000)≭≮⫘↔10010001110⫞⩸⩒≮⫘↔11110000110)=≮⫘↔-1101010100","reverse_text":"≮⫘↔-1101010100=∑⇻≧((≮⫘↔101101001000⪄≮⫘↔1100011100000)⋭≵≮⫘↔10100101111⊴≮⫘↔101110010100)∘((≮⫘↔11010101100∙∹∝≮⫘↔1101011110000)≭≮⫘↔10010001110⫞⩸⩒≮⫘↔11110000110)","cot":[{"info":"≮⫘↔101101001000⪄≮⫘↔1100011100000=≮⫘↔-1101101100111011001","layer":3},{"info":"≮⫘↔10100101111⊴≮⫘↔101110010100=NaN","layer":3},{"info":"≮⫘↔-1101101100111011001⋭≵NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11010101100∙∹∝≮⫘↔1101011110000=≮⫘↔0","layer":3},{"info":"≮⫘↔10010001110⫞⩸⩒≮⫘↔11110000110=≮⫘↔11110000110","layer":3},{"info":"≮⫘↔0≭≮⫘↔11110000110=NaN","layer":2},{"info":"≮⫘↔1000011∘NaN=≮⫘↔10000110","layer":1},{"info":"∑⇻≧≮⫘↔10000110=≮⫘↔-1101010100","layer":0}]}
{"id":864,"expression_no_base_symbol":"(($3351$⪕$3111$)⋣⋖$1893$≴⪞⇿$7247$-($1622$↱$5544$⫚↹⊑($1875$∕⩚$4483$)))⋓(⨈⪑($1943$⫠))⪢($4593$⨜⨶$2161$⨪↰⇹$4007$⨽∌$5120$)","expression":"((≮⫘↔110100010111⪕≮⫘↔110000100111)⋣⋖≮⫘↔11101100101≴⪞⇿≮⫘↔1110001001111-(≮⫘↔11001010110↱≮⫘↔1010110101000⫚↹⊑(≮⫘↔11101010011∕⩚≮⫘↔1000110000011)))⋓(⨈⪑(≮⫘↔11110010111⫠))⪢(≮⫘↔1000111110001⨜⨶≮⫘↔100001110001⨪↰⇹≮⫘↔111110100111⨽∌≮⫘↔1010000000000)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39144,"operation_count":14,"complexity_ratio":2796.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3351,"base":2},"right_expr":{"type":"numeric_atoms","value":3111,"base":2}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1893,"base":2},"right_expr":{"type":"numeric_atoms","value":7247,"base":2}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1622,"base":2},"right_expr":{"type":"numeric_atoms","value":5544,"base":2}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1875,"base":2},"right_expr":{"type":"numeric_atoms","value":4483,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1943,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4593,"base":2},"right_expr":{"type":"numeric_atoms","value":2161,"base":2}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4007,"base":2},"right_expr":{"type":"numeric_atoms","value":5120,"base":2}}}}},"used_operators":["T2fj7uvVaJ","rysDP5nf3Z","J0M6qkBnIM","umQnsF7QlU","lvlrscuwVU","dfKe02y8D2","SR5kFfdi6N","z9ffQ9n5Zr","dWAJyo7jo9","mp94q5OcYM","6SnOT2rOjz","tmPS8pqC7x","HiPekx5b7W","9samAPKr6k"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","k8jYdgA6NY","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","rJVOvQCfKK","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3351","layer":4},{"info":"number node, value=3111","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=3111, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4492","layer":3},{"info":"number node, value=1893","layer":4},{"info":"number node, value=7247","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=7247, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=5249034","layer":3},{"info":"compute binary expreesion, left_input=4492, right_input=5249034, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4492","layer":2},{"info":"number node, value=1622","layer":4},{"info":"number node, value=5544","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=5544, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-16110","layer":3},{"info":"number node, value=1875","layer":4},{"info":"number node, value=4483","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=4483, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1878","layer":3},{"info":"compute binary expreesion, left_input=-16110, right_input=-1878, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=4492, right_input=-447, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4939","layer":1},{"info":"number node, value=1943","layer":4},{"info":"compute unary expreesion, input=1943, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=4593","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=4593, right_input=2161, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-4066","layer":3},{"info":"number node, value=4007","layer":4},{"info":"number node, value=5120","layer":4},{"info":"compute binary expreesion, left_input=4007, right_input=5120, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4066, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-4066","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-4066, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4939, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110100010111⪕≮⫘↔110000100111)⋣⋖≮⫘↔11101100101≴⪞⇿≮⫘↔1110001001111-(≮⫘↔11001010110↱≮⫘↔1010110101000⫚↹⊑(≮⫘↔11101010011∕⩚≮⫘↔1000110000011)))⋓(⨈⪑(≮⫘↔11110010111⫠))⪢(≮⫘↔1000111110001⨜⨶≮⫘↔100001110001⨪↰⇹≮⫘↔111110100111⨽∌≮⫘↔1010000000000)=NaN","reverse_text":"NaN=((≮⫘↔110100010111⪕≮⫘↔110000100111)⋣⋖≮⫘↔11101100101≴⪞⇿≮⫘↔1110001001111-(≮⫘↔11001010110↱≮⫘↔1010110101000⫚↹⊑(≮⫘↔11101010011∕⩚≮⫘↔1000110000011)))⋓(⨈⪑(≮⫘↔11110010111⫠))⪢(≮⫘↔1000111110001⨜⨶≮⫘↔100001110001⨪↰⇹≮⫘↔111110100111⨽∌≮⫘↔1010000000000)","cot":[{"info":"≮⫘↔110100010111⪕≮⫘↔110000100111=≮⫘↔1000110001100","layer":3},{"info":"≮⫘↔11101100101≴⪞⇿≮⫘↔1110001001111=≮⫘↔10100000001100000001010","layer":3},{"info":"≮⫘↔1000110001100⋣⋖≮⫘↔10100000001100000001010=≮⫘↔1000110001100","layer":2},{"info":"≮⫘↔11001010110↱≮⫘↔1010110101000=≮⫘↔-11111011101110","layer":3},{"info":"≮⫘↔11101010011∕⩚≮⫘↔1000110000011=≮⫘↔-11101010110","layer":3},{"info":"≮⫘↔-11111011101110⫚↹⊑≮⫘↔-11101010110=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔1000110001100-≮⫘↔-110111111=≮⫘↔1001101001011","layer":1},{"info":"≮⫘↔11110010111⫠=≮⫘↔0","layer":3},{"info":"⨈⪑≮⫘↔0=≮⫘↔1101100100","layer":2},{"info":"≮⫘↔1000111110001⨜⨶≮⫘↔100001110001=≮⫘↔-111111100010","layer":3},{"info":"≮⫘↔111110100111⨽∌≮⫘↔1010000000000=≮⫘↔0","layer":3},{"info":"≮⫘↔-111111100010⨪↰⇹≮⫘↔0=≮⫘↔-111111100010","layer":2},{"info":"≮⫘↔1101100100⪢≮⫘↔-111111100010=NaN","layer":1},{"info":"≮⫘↔1001101001011⋓NaN=NaN","layer":0}]}
{"id":865,"expression_no_base_symbol":"($2405$⋭≵$1125$)≌($1975$⪄$4430$)⫁⪎(($1899$⩤)⪉⨛($3305$⫚↹⊑$4693$))∌↝((⋃(⨛$4305$))↺($6403$≚⊃≕$7749$⊝))","expression":"(≮⫘↔100101100101⋭≵≮⫘↔10001100101)≌(≮⫘↔11110110111⪄≮⫘↔1000101001110)⫁⪎((≮⫘↔11101101011⩤)⪉⨛(≮⫘↔110011101001⫚↹⊑≮⫘↔1001001010101))∌↝((⋃(⨛≮⫘↔1000011010001))↺(≮⫘↔1100100000011≚⊃≕≮⫘↔1111001000101⊝))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":316728,"operation_count":13,"complexity_ratio":24363.69230769231,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2405,"base":2},"right_expr":{"type":"numeric_atoms","value":1125,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1975,"base":2},"right_expr":{"type":"numeric_atoms","value":4430,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1899,"base":2}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3305,"base":2},"right_expr":{"type":"numeric_atoms","value":4693,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":4305,"base":2}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":6403,"base":2},"right_expr":{"type":"numeric_atoms","value":7749,"base":2}}}}},"used_operators":["9Isq31Ruls","xRrnTEsQ6j","lyWz822IDG","jBncVCNhdl","SUmda5xLS4","EWw2JM7wp4","Z2TMIBDE3Q","dfKe02y8D2","7j4O788W3g","3mBM5G4a3l","CoMdbyAt7R","O6EZ0fifGK","Bmrmz2XGnR"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2405","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=1125, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1975","layer":4},{"info":"number node, value=4430","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=4430, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-306109","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-306109, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1899","layer":3},{"info":"number node, value=3305","layer":4},{"info":"number node, value=4693","layer":4},{"info":"compute binary expreesion, left_input=3305, right_input=4693, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-1899, right_input=-447, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-4141","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4141, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"number node, value=4305","layer":4},{"info":"compute unary expreesion, input=4305, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":2},{"info":"number node, value=6403","layer":4},{"info":"number node, value=7749","layer":4},{"info":"compute binary expreesion, left_input=6403, right_input=7749, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100101100101⋭≵≮⫘↔10001100101)≌(≮⫘↔11110110111⪄≮⫘↔1000101001110)⫁⪎((≮⫘↔11101101011⩤)⪉⨛(≮⫘↔110011101001⫚↹⊑≮⫘↔1001001010101))∌↝((⋃(⨛≮⫘↔1000011010001))↺(≮⫘↔1100100000011≚⊃≕≮⫘↔1111001000101⊝))=NaN","reverse_text":"NaN=(≮⫘↔100101100101⋭≵≮⫘↔10001100101)≌(≮⫘↔11110110111⪄≮⫘↔1000101001110)⫁⪎((≮⫘↔11101101011⩤)⪉⨛(≮⫘↔110011101001⫚↹⊑≮⫘↔1001001010101))∌↝((⋃(⨛≮⫘↔1000011010001))↺(≮⫘↔1100100000011≚⊃≕≮⫘↔1111001000101⊝))","cot":[{"info":"≮⫘↔100101100101⋭≵≮⫘↔10001100101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔11110110111⪄≮⫘↔1000101001110=≮⫘↔-1001010101110111101","layer":3},{"info":"≮⫘↔1000011≌≮⫘↔-1001010101110111101=NaN","layer":2},{"info":"≮⫘↔11101101011⩤=≮⫘↔-11101101011","layer":3},{"info":"≮⫘↔110011101001⫚↹⊑≮⫘↔1001001010101=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-11101101011⪉⨛≮⫘↔-110111111=≮⫘↔-1000000101101","layer":2},{"info":"NaN⫁⪎≮⫘↔-1000000101101=NaN","layer":1},{"info":"⨛≮⫘↔1000011010001=NaN","layer":3},{"info":"⋃NaN=NaN","layer":2},{"info":"≮⫘↔1100100000011≚⊃≕≮⫘↔1111001000101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔1000011⊝=≮⫘↔1000011","layer":2},{"info":"NaN↺≮⫘↔1000011=≮⫘↔1000011","layer":1},{"info":"NaN∌↝≮⫘↔1000011=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"(($3641$⫣⪄⊒$1004$)⨂≜($2706$⨲)⪘⫢($1794$⫁$3878$≝⊰⇂))∘((⊆⋠$1743$)⪭≯(⫡⇟⇯$3910$)↱($2666$⨟⋌⩍$1875$∙∹∝$5481$⪨⊡$1486$))","expression":"((≮⫘↔111000111001⫣⪄⊒≮⫘↔1111101100)⨂≜(≮⫘↔101010010010⨲)⪘⫢(≮⫘↔11100000010⫁≮⫘↔111100100110≝⊰⇂))∘((⊆⋠≮⫘↔11011001111)⪭≯(⫡⇟⇯≮⫘↔111101000110)↱(≮⫘↔101001101010⨟⋌⩍≮⫘↔11101010011∙∹∝≮⫘↔1010101101001⪨⊡≮⫘↔10111001110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":415701,"operation_count":14,"complexity_ratio":29692.928571428572,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3641,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2706,"base":2}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1794,"base":2},"right_expr":{"type":"numeric_atoms","value":3878,"base":2}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1743,"base":2}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3910,"base":2}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2666,"base":2},"right_expr":{"type":"numeric_atoms","value":1875,"base":2}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5481,"base":2},"right_expr":{"type":"numeric_atoms","value":1486,"base":2}}}}},"used_operators":["Z5m6OM72h2","oacrs7FA3X","k1SHOSEABc","RabNbG55vr","nLYMGWM7L8","htSmYCowi5","0ajvFaJAv0","SR5kFfdi6N","XAx5wpdLa6","EBhcHTkKd8","qWUSsah53b","HmxsFra2vL","rGHVDoGpnC","kuIXHzHcAH"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","9FxExcQeMw","DlLNRPXxWL","cHh1gJQ2o6","AHs5Up7iyr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DZ8iAZOCBD","P8v4zCKN1o","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3641","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3641, right_input=1004, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6106","layer":3},{"info":"number node, value=2706","layer":4},{"info":"compute unary expreesion, input=2706, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=479107981","layer":3},{"info":"compute binary expreesion, left_input=-6106, right_input=479107981, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1794","layer":4},{"info":"number node, value=3878","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=3878, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=186","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=186, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=1743","layer":4},{"info":"compute unary expreesion, input=1743, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=3910","layer":4},{"info":"compute unary expreesion, input=3910, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=8688","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8688, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2666","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=1875, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5481","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=5481, right_input=1486, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111000111001⫣⪄⊒≮⫘↔1111101100)⨂≜(≮⫘↔101010010010⨲)⪘⫢(≮⫘↔11100000010⫁≮⫘↔111100100110≝⊰⇂))∘((⊆⋠≮⫘↔11011001111)⪭≯(⫡⇟⇯≮⫘↔111101000110)↱(≮⫘↔101001101010⨟⋌⩍≮⫘↔11101010011∙∹∝≮⫘↔1010101101001⪨⊡≮⫘↔10111001110))=NaN","reverse_text":"NaN=((≮⫘↔111000111001⫣⪄⊒≮⫘↔1111101100)⨂≜(≮⫘↔101010010010⨲)⪘⫢(≮⫘↔11100000010⫁≮⫘↔111100100110≝⊰⇂))∘((⊆⋠≮⫘↔11011001111)⪭≯(⫡⇟⇯≮⫘↔111101000110)↱(≮⫘↔101001101010⨟⋌⩍≮⫘↔11101010011∙∹∝≮⫘↔1010101101001⪨⊡≮⫘↔10111001110))","cot":[{"info":"≮⫘↔111000111001⫣⪄⊒≮⫘↔1111101100=≮⫘↔-1011111011010","layer":3},{"info":"≮⫘↔101010010010⨲=≮⫘↔11100100011101001101110001101","layer":3},{"info":"≮⫘↔-1011111011010⨂≜≮⫘↔11100100011101001101110001101=NaN","layer":2},{"info":"≮⫘↔11100000010⫁≮⫘↔111100100110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000≝⊰⇂=≮⫘↔10111010","layer":2},{"info":"NaN⪘⫢≮⫘↔10111010=NaN","layer":1},{"info":"⊆⋠≮⫘↔11011001111=≮⫘↔0","layer":3},{"info":"⫡⇟⇯≮⫘↔111101000110=≮⫘↔10000111110000","layer":3},{"info":"≮⫘↔0⪭≯≮⫘↔10000111110000=NaN","layer":2},{"info":"≮⫘↔101001101010⨟⋌⩍≮⫘↔11101010011=NaN","layer":3},{"info":"≮⫘↔1010101101001⪨⊡≮⫘↔10111001110=≮⫘↔0","layer":3},{"info":"NaN∙∹∝≮⫘↔0=NaN","layer":2},{"info":"NaN↱NaN=NaN","layer":1},{"info":"NaN∘NaN=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"(≪((⊁⨺$1249$)⪍↜⋙$6045$⇻⋧≁$3861$))⊉↱≁($1233$⪬$2123$⇍⊗$3463$≦↸$1181$)↢($1036$⪎↠$4739$)⇂≾⫗(∂⩏⊆$3568$)","expression":"(≪((⊁⨺≮⫘↔10011100001)⪍↜⋙≮⫘↔1011110011101⇻⋧≁≮⫘↔111100010101))⊉↱≁(≮⫘↔10011010001⪬≮⫘↔100001001011⇍⊗≮⫘↔110110000111≦↸≮⫘↔10010011101)↢(≮⫘↔10000001100⪎↠≮⫘↔1001010000011)⇂≾⫗(∂⩏⊆≮⫘↔110111110000)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7314,"operation_count":12,"complexity_ratio":609.5,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1249,"base":2}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":6045,"base":2},"right_expr":{"type":"numeric_atoms","value":3861,"base":2}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1233,"base":2},"right_expr":{"type":"numeric_atoms","value":2123,"base":2}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3463,"base":2},"right_expr":{"type":"numeric_atoms","value":1181,"base":2}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1036,"base":2},"right_expr":{"type":"numeric_atoms","value":4739,"base":2}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":3568,"base":2}}}}},"used_operators":["w2P8NbNXyL","Qtd6bqUJcN","L05ObWFQCd","PxiHyQbrIp","jCPkEVoL5K","WR6HLWljOP","5uvYHDjeKN","Ez1Nq5fNfI","RygbFNSyEJ","aBQ6xLxuTc","3tVxb0NHM4","8WDwsbhb0R"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","14qkJME0vr","eLAdDNolq6"],"result":"≮⫘↔100111001001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=6045","layer":4},{"info":"number node, value=3861","layer":4},{"info":"compute binary expreesion, left_input=6045, right_input=3861, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1214","layer":2},{"info":"compute unary expreesion, input=1214, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"number node, value=1233","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=2123, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=3463","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=3463, right_input=1181, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8607","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-8607, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=1036","layer":4},{"info":"number node, value=4739","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=4739, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=3568","layer":4},{"info":"compute unary expreesion, input=3568, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-10783","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-10783, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-670, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-1828","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=-1828, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=20046","layer":0}],"base":2,"result_base":2,"text":"(≪((⊁⨺≮⫘↔10011100001)⪍↜⋙≮⫘↔1011110011101⇻⋧≁≮⫘↔111100010101))⊉↱≁(≮⫘↔10011010001⪬≮⫘↔100001001011⇍⊗≮⫘↔110110000111≦↸≮⫘↔10010011101)↢(≮⫘↔10000001100⪎↠≮⫘↔1001010000011)⇂≾⫗(∂⩏⊆≮⫘↔110111110000)=≮⫘↔100111001001110","reverse_text":"≮⫘↔100111001001110=(≪((⊁⨺≮⫘↔10011100001)⪍↜⋙≮⫘↔1011110011101⇻⋧≁≮⫘↔111100010101))⊉↱≁(≮⫘↔10011010001⪬≮⫘↔100001001011⇍⊗≮⫘↔110110000111≦↸≮⫘↔10010011101)↢(≮⫘↔10000001100⪎↠≮⫘↔1001010000011)⇂≾⫗(∂⩏⊆≮⫘↔110111110000)","cot":[{"info":"⊁⨺≮⫘↔10011100001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1011110011101⇻⋧≁≮⫘↔111100010101=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔10100000⪍↜⋙≮⫘↔-110111111=≮⫘↔10010111110","layer":2},{"info":"≪≮⫘↔10010111110=≮⫘↔1110010001","layer":1},{"info":"≮⫘↔10011010001⪬≮⫘↔100001001011=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔110110000111≦↸≮⫘↔10010011101=≮⫘↔-10000110011111","layer":3},{"info":"≮⫘↔10011010010⇍⊗≮⫘↔-10000110011111=≮⫘↔-11110100","layer":2},{"info":"≮⫘↔10000001100⪎↠≮⫘↔1001010000011=≮⫘↔10100000","layer":3},{"info":"∂⩏⊆≮⫘↔110111110000=≮⫘↔-10101000011111","layer":3},{"info":"≮⫘↔10100000⇂≾⫗≮⫘↔-10101000011111=≮⫘↔-1010011110","layer":2},{"info":"≮⫘↔-11110100↢≮⫘↔-1010011110=≮⫘↔-11100100100","layer":1},{"info":"≮⫘↔1110010001⊉↱≁≮⫘↔-11100100100=≮⫘↔100111001001110","layer":0}]}
{"id":868,"expression_no_base_symbol":"(≛(($1693$⩹$3508$)⫲⨊))⊀⩕","expression":"(≛((≮⫘↔11010011101⩹≮⫘↔110110110100)⫲⨊))⊀⩕","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":826,"operation_count":4,"complexity_ratio":206.5,"tree":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1693,"base":2},"right_expr":{"type":"numeric_atoms","value":3508,"base":2}}}}},"used_operators":["r0FS3hW4cC","W7eaUhjymW","CArV6hThFE","2Wsdkap16l"],"dependent_operators":["rGHVDoGpnC","nhYeJWJD5X","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1693","layer":4},{"info":"number node, value=3508","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=3508, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=3506","layer":3},{"info":"compute unary expreesion, input=3506, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=18313","layer":2},{"info":"compute unary expreesion, input=18313, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":1},{"info":"compute unary expreesion, input=-10, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≛((≮⫘↔11010011101⩹≮⫘↔110110110100)⫲⨊))⊀⩕=≮⫘↔0","reverse_text":"≮⫘↔0=(≛((≮⫘↔11010011101⩹≮⫘↔110110110100)⫲⨊))⊀⩕","cot":[{"info":"≮⫘↔11010011101⩹≮⫘↔110110110100=≮⫘↔110110110010","layer":3},{"info":"≮⫘↔110110110010⫲⨊=≮⫘↔100011110001001","layer":2},{"info":"≛≮⫘↔100011110001001=≮⫘↔-1010","layer":1},{"info":"≮⫘↔-1010⊀⩕=≮⫘↔0","layer":0}]}
{"id":869,"expression_no_base_symbol":"(↞≼(⊿($2183$⨲)))≁↽≥((($1215$≝⊰⇂)⇋≉)∥⊢⊲($2685$∋$3777$⪁(⊈$4182$)))","expression":"(↞≼(⊿(≮⫘↔100010000111⨲)))≁↽≥(((≮⫘↔10010111111≝⊰⇂)⇋≉)∥⊢⊲(≮⫘↔101001111101∋≮⫘↔111011000001⪁(⊈≮⫘↔1000001010110)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":335642,"operation_count":10,"complexity_ratio":33564.2,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2183,"base":2}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1215,"base":2}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2685,"base":2},"right_expr":{"type":"numeric_atoms","value":3777,"base":2}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":4182,"base":2}}}}},"used_operators":["ncHt1X6cMc","DE7zCoGJt9","DO4fhlbJSI","nLYMGWM7L8","v1UQAVDJRr","XIabStNQrY","htSmYCowi5","I7sXao9hZE","ukq6epAj5P","RHru8klgy8"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DlLNRPXxWL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","12rbrZMWeM","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2183","layer":4},{"info":"compute unary expreesion, input=2183, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=385620685","layer":3},{"info":"compute unary expreesion, input=385620685, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-1542483478","layer":2},{"info":"compute unary expreesion, input=-1542483478, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-inf","layer":1},{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":2},{"info":"number node, value=2685","layer":4},{"info":"number node, value=3777","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=3777, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=7911892","layer":3},{"info":"number node, value=4182","layer":4},{"info":"compute unary expreesion, input=4182, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-4356","layer":3},{"info":"compute binary expreesion, left_input=7911892, right_input=-4356, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-98, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↞≼(⊿(≮⫘↔100010000111⨲)))≁↽≥(((≮⫘↔10010111111≝⊰⇂)⇋≉)∥⊢⊲(≮⫘↔101001111101∋≮⫘↔111011000001⪁(⊈≮⫘↔1000001010110)))=NaN","reverse_text":"NaN=(↞≼(⊿(≮⫘↔100010000111⨲)))≁↽≥(((≮⫘↔10010111111≝⊰⇂)⇋≉)∥⊢⊲(≮⫘↔101001111101∋≮⫘↔111011000001⪁(⊈≮⫘↔1000001010110)))","cot":[{"info":"≮⫘↔100010000111⨲=≮⫘↔10110111111000001101011001101","layer":3},{"info":"⊿≮⫘↔10110111111000001101011001101=≮⫘↔-1011011111100000110111000010110","layer":2},{"info":"↞≼≮⫘↔-1011011111100000110111000010110=-Inf","layer":1},{"info":"≮⫘↔10010111111≝⊰⇂=≮⫘↔0","layer":3},{"info":"≮⫘↔0⇋≉=≮⫘↔-1100010","layer":2},{"info":"≮⫘↔101001111101∋≮⫘↔111011000001=≮⫘↔11110001011100111010100","layer":3},{"info":"⊈≮⫘↔1000001010110=≮⫘↔-1000100000100","layer":3},{"info":"≮⫘↔11110001011100111010100⪁≮⫘↔-1000100000100=NaN","layer":2},{"info":"≮⫘↔-1100010∥⊢⊲NaN=NaN","layer":1},{"info":"-Inf≁↽≥NaN=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"(($1005$⋥≓≎$1267$)≧⫂∧($1127$⨵⪆$7293$))⊕∕($5862$⪍↜⋙$1078$≚⋢)⫉⨲⊜((⊖(↓⇌$4335$))⪪($4282$⨽∌$7665$⇮⋭(∮$6533$)))","expression":"((≮⫘↔1111101101⋥≓≎≮⫘↔10011110011)≧⫂∧(≮⫘↔10001100111⨵⪆≮⫘↔1110001111101))⊕∕(≮⫘↔1011011100110⪍↜⋙≮⫘↔10000110110≚⋢)⫉⨲⊜((⊖(↓⇌≮⫘↔1000011101111))⪪(≮⫘↔1000010111010⨽∌≮⫘↔1110111110001⇮⋭(∮≮⫘↔1100110000101)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":811,"operation_count":13,"complexity_ratio":62.38461538461539,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":1267,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1127,"base":2},"right_expr":{"type":"numeric_atoms","value":7293,"base":2}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5862,"base":2},"right_expr":{"type":"numeric_atoms","value":1078,"base":2}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":4335,"base":2}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4282,"base":2},"right_expr":{"type":"numeric_atoms","value":7665,"base":2}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":6533,"base":2}}}}},"used_operators":["WhqkvtTD3t","9cloC0Ngie","Ph9nP6C5qx","Qy55tPpLXF","2DQ55sFlQl","MahUMFw56D","L05ObWFQCd","xD69zh8xqp","U6pG0PXrV3","PxpmPgHHJV","vkpjKywKVM","9samAPKr6k","CqXKPLVYql"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"≮⫘↔-1101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1267, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1562","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=7293","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=7293, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1562, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"number node, value=5862","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=5862, right_input=1078, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=9568","layer":3},{"info":"compute unary expreesion, input=9568, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute binary expreesion, left_input=-313, right_input=-89, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-313","layer":1},{"info":"number node, value=4335","layer":4},{"info":"compute unary expreesion, input=4335, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4335","layer":3},{"info":"compute unary expreesion, input=4335, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"number node, value=4282","layer":4},{"info":"number node, value=7665","layer":4},{"info":"compute binary expreesion, left_input=4282, right_input=7665, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=6533","layer":4},{"info":"compute unary expreesion, input=6533, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=52059","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=52059, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-313, right_input=0, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-110","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111101101⋥≓≎≮⫘↔10011110011)≧⫂∧(≮⫘↔10001100111⨵⪆≮⫘↔1110001111101))⊕∕(≮⫘↔1011011100110⪍↜⋙≮⫘↔10000110110≚⋢)⫉⨲⊜((⊖(↓⇌≮⫘↔1000011101111))⪪(≮⫘↔1000010111010⨽∌≮⫘↔1110111110001⇮⋭(∮≮⫘↔1100110000101)))=≮⫘↔-1101110","reverse_text":"≮⫘↔-1101110=((≮⫘↔1111101101⋥≓≎≮⫘↔10011110011)≧⫂∧(≮⫘↔10001100111⨵⪆≮⫘↔1110001111101))⊕∕(≮⫘↔1011011100110⪍↜⋙≮⫘↔10000110110≚⋢)⫉⨲⊜((⊖(↓⇌≮⫘↔1000011101111))⪪(≮⫘↔1000010111010⨽∌≮⫘↔1110111110001⇮⋭(∮≮⫘↔1100110000101)))","cot":[{"info":"≮⫘↔1111101101⋥≓≎≮⫘↔10011110011=≮⫘↔11000011010","layer":3},{"info":"≮⫘↔10001100111⨵⪆≮⫘↔1110001111101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11000011010≧⫂∧≮⫘↔10100000=≮⫘↔-100111001","layer":2},{"info":"≮⫘↔1011011100110⪍↜⋙≮⫘↔10000110110=≮⫘↔10010101100000","layer":3},{"info":"≮⫘↔10010101100000≚⋢=≮⫘↔-1011001","layer":2},{"info":"≮⫘↔-100111001⊕∕≮⫘↔-1011001=≮⫘↔-100111001","layer":1},{"info":"↓⇌≮⫘↔1000011101111=≮⫘↔1000011101111","layer":3},{"info":"⊖≮⫘↔1000011101111=≮⫘↔0","layer":2},{"info":"≮⫘↔1000010111010⨽∌≮⫘↔1110111110001=≮⫘↔0","layer":3},{"info":"∮≮⫘↔1100110000101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔0⇮⋭≮⫘↔1000011=≮⫘↔1100101101011011","layer":2},{"info":"≮⫘↔0⪪≮⫘↔1100101101011011=≮⫘↔0","layer":1},{"info":"≮⫘↔-100111001⫉⨲⊜≮⫘↔0=≮⫘↔-1101110","layer":0}]}
{"id":871,"expression_no_base_symbol":"((($3762$∀⋜↑)⋾⨃∁($1904$⫌⩉⩟$1636$))⊊)⇌⫙⪟(($1059$↡⊰⫅$1049$)≥⨤⩑($1886$∝$1003$))≠≀(($5031$⪨⊡$3362$)⊧↖)","expression":"(((≮⫘↔111010110010∀⋜↑)⋾⨃∁(≮⫘↔11101110000⫌⩉⩟≮⫘↔11001100100))⊊)⇌⫙⪟((≮⫘↔10000100011↡⊰⫅≮⫘↔10000011001)≥⨤⩑(≮⫘↔11101011110∝≮⫘↔1111101011))≠≀((≮⫘↔1001110100111⪨⊡≮⫘↔110100100010)⊧↖)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25471,"operation_count":11,"complexity_ratio":2315.5454545454545,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":3762,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1904,"base":2},"right_expr":{"type":"numeric_atoms","value":1636,"base":2}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1059,"base":2},"right_expr":{"type":"numeric_atoms","value":1049,"base":2}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1886,"base":2},"right_expr":{"type":"numeric_atoms","value":1003,"base":2}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5031,"base":2},"right_expr":{"type":"numeric_atoms","value":3362,"base":2}}}}},"used_operators":["AFVx7xoS7T","W9R8I5fN5A","212REbPD9h","KipPnG1M2J","XIIwhv8d0m","IwW236VD4Y","gJLn6v0xnP","VCtxkLNOzz","cTDWOvIxvz","EKiFHuOFxO","kuIXHzHcAH"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","7j4O788W3g","W4YGzv6Whe","COABgblf1C","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"≮⫘↔1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3762","layer":4},{"info":"compute unary expreesion, input=3762, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=1904","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=1636, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=-50, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=25506","layer":2},{"info":"compute unary expreesion, input=25506, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":1},{"info":"number node, value=1059","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1049, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2098","layer":3},{"info":"number node, value=1886","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1003, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1891","layer":3},{"info":"compute binary expreesion, left_input=2098, right_input=1891, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=5031","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=5031, right_input=3362, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=-2872","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-2872, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=1517","layer":1},{"info":"compute binary expreesion, left_input=90927, right_input=1517, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔111010110010∀⋜↑)⋾⨃∁(≮⫘↔11101110000⫌⩉⩟≮⫘↔11001100100))⊊)⇌⫙⪟((≮⫘↔10000100011↡⊰⫅≮⫘↔10000011001)≥⨤⩑(≮⫘↔11101011110∝≮⫘↔1111101011))≠≀((≮⫘↔1001110100111⪨⊡≮⫘↔110100100010)⊧↖)=≮⫘↔1110001","reverse_text":"≮⫘↔1110001=(((≮⫘↔111010110010∀⋜↑)⋾⨃∁(≮⫘↔11101110000⫌⩉⩟≮⫘↔11001100100))⊊)⇌⫙⪟((≮⫘↔10000100011↡⊰⫅≮⫘↔10000011001)≥⨤⩑(≮⫘↔11101011110∝≮⫘↔1111101011))≠≀((≮⫘↔1001110100111⪨⊡≮⫘↔110100100010)⊧↖)","cot":[{"info":"≮⫘↔111010110010∀⋜↑=≮⫘↔-111100100","layer":3},{"info":"≮⫘↔11101110000⫌⩉⩟≮⫘↔11001100100=≮⫘↔-110010","layer":3},{"info":"≮⫘↔-111100100⋾⨃∁≮⫘↔-110010=≮⫘↔110001110100010","layer":2},{"info":"≮⫘↔110001110100010⊊=≮⫘↔10110001100101111","layer":1},{"info":"≮⫘↔10000100011↡⊰⫅≮⫘↔10000011001=≮⫘↔100000110010","layer":3},{"info":"≮⫘↔11101011110∝≮⫘↔1111101011=≮⫘↔11101100011","layer":3},{"info":"≮⫘↔100000110010≥⨤⩑≮⫘↔11101100011=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔1001110100111⪨⊡≮⫘↔110100100010=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊧↖=≮⫘↔-101100111000","layer":2},{"info":"≮⫘↔10011010010≠≀≮⫘↔-101100111000=≮⫘↔10111101101","layer":1},{"info":"≮⫘↔10110001100101111⇌⫙⪟≮⫘↔10111101101=≮⫘↔1110001","layer":0}]}
{"id":872,"expression_no_base_symbol":"∮(($2915$↢$5189$)∺≝⩲(⪸$2815$))⇻⋧≁($8665$∀⇚≩$1510$⩒⫫($5113$↱$1763$))","expression":"∮((≮⫘↔101101100011↢≮⫘↔1010001000101)∺≝⩲(⪸≮⫘↔101011111111))⇻⋧≁(≮⫘↔10000111011001∀⇚≩≮⫘↔10111100110⩒⫫(≮⫘↔1001111111001↱≮⫘↔11011100011))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":60828,"operation_count":8,"complexity_ratio":7603.5,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2915,"base":2},"right_expr":{"type":"numeric_atoms","value":5189,"base":2}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2815,"base":2}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8665,"base":2},"right_expr":{"type":"numeric_atoms","value":1510,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5113,"base":2},"right_expr":{"type":"numeric_atoms","value":1763,"base":2}}}}},"used_operators":["CqXKPLVYql","jCPkEVoL5K","KPf6cnQVty","WR6HLWljOP","86A5ENbKR9","KFSx94NKJn","LRNGc0VcxI","SR5kFfdi6N"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","X99M06cbEe","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2915","layer":4},{"info":"number node, value=5189","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=5189, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2431","layer":3},{"info":"number node, value=2815","layer":4},{"info":"compute unary expreesion, input=2815, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-47646","layer":3},{"info":"compute binary expreesion, left_input=2431, right_input=-47646, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=8665","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=8665, right_input=1510, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5113","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=5113, right_input=1763, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-4767","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4767, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∮((≮⫘↔101101100011↢≮⫘↔1010001000101)∺≝⩲(⪸≮⫘↔101011111111))⇻⋧≁(≮⫘↔10000111011001∀⇚≩≮⫘↔10111100110⩒⫫(≮⫘↔1001111111001↱≮⫘↔11011100011))=NaN","reverse_text":"NaN=∮((≮⫘↔101101100011↢≮⫘↔1010001000101)∺≝⩲(⪸≮⫘↔101011111111))⇻⋧≁(≮⫘↔10000111011001∀⇚≩≮⫘↔10111100110⩒⫫(≮⫘↔1001111111001↱≮⫘↔11011100011))","cot":[{"info":"≮⫘↔101101100011↢≮⫘↔1010001000101=≮⫘↔100101111111","layer":3},{"info":"⪸≮⫘↔101011111111=≮⫘↔-1011101000011110","layer":3},{"info":"≮⫘↔100101111111∺≝⩲≮⫘↔-1011101000011110=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10000111011001∀⇚≩≮⫘↔10111100110=NaN","layer":3},{"info":"≮⫘↔1001111111001↱≮⫘↔11011100011=≮⫘↔-1001010011111","layer":3},{"info":"NaN⩒⫫≮⫘↔-1001010011111=NaN","layer":2},{"info":"≮⫘↔10100000⇻⋧≁NaN=NaN","layer":1},{"info":"∮NaN=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"((∂⩏⊆(⨭⩧⫛$1717$))≬⇓(($7601$⨎⋸⪻)⩢≌))⪘⨀","expression":"((∂⩏⊆(⨭⩧⫛≮⫘↔11010110101))≬⇓((≮⫘↔1110110110001⨎⋸⪻)⩢≌))⪘⨀","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":313,"operation_count":6,"complexity_ratio":52.166666666666664,"tree":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1717,"base":2}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":7601,"base":2}}}}},"used_operators":["aA7tF3KVD3","jWTQ2TZYIH","8WDwsbhb0R","g21JL6JxX7","D617RFjZIq","Dk5vyLCiGd"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","14qkJME0vr","eLAdDNolq6","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","hTbEZDJLEm","o20kRiQErp","IWmyXbctLI"],"result":"≮⫘↔11101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1717","layer":4},{"info":"compute unary expreesion, input=1717, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":2},{"info":"number node, value=7601","layer":4},{"info":"compute unary expreesion, input=7601, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=15518","layer":3},{"info":"compute unary expreesion, input=15518, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=236","layer":0}],"base":2,"result_base":2,"text":"((∂⩏⊆(⨭⩧⫛≮⫘↔11010110101))≬⇓((≮⫘↔1110110110001⨎⋸⪻)⩢≌))⪘⨀=≮⫘↔11101100","reverse_text":"≮⫘↔11101100=((∂⩏⊆(⨭⩧⫛≮⫘↔11010110101))≬⇓((≮⫘↔1110110110001⨎⋸⪻)⩢≌))⪘⨀","cot":[{"info":"⨭⩧⫛≮⫘↔11010110101=NaN","layer":3},{"info":"∂⩏⊆NaN=NaN","layer":2},{"info":"≮⫘↔1110110110001⨎⋸⪻=≮⫘↔11110010011110","layer":3},{"info":"≮⫘↔11110010011110⩢≌=≮⫘↔1110001","layer":2},{"info":"NaN≬⇓≮⫘↔1110001=≮⫘↔-10110","layer":1},{"info":"≮⫘↔-10110⪘⨀=≮⫘↔11101100","layer":0}]}
{"id":874,"expression_no_base_symbol":"(⫯(($4632$⫳≱↱$5336$)⪘⨀))⪕(($3286$⪡$3103$)≁(≱⇩⩕$1227$)⫲≸⪮(↩$1104$→⨶⪴$4799$))","expression":"(⫯((≮⫘↔1001000011000⫳≱↱≮⫘↔1010011011000)⪘⨀))⪕((≮⫘↔110011010110⪡≮⫘↔110000011111)≁(≱⇩⩕≮⫘↔10011001011)⫲≸⪮(↩≮⫘↔10001010000→⨶⪴≮⫘↔1001010111111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":893,"operation_count":10,"complexity_ratio":89.3,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4632,"base":2},"right_expr":{"type":"numeric_atoms","value":5336,"base":2}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3286,"base":2},"right_expr":{"type":"numeric_atoms","value":3103,"base":2}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1227,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1104,"base":2},"right_expr":{"type":"numeric_atoms","value":4799,"base":2}}}}},"used_operators":["umQnsF7QlU","H6BK1Evt7c","aA7tF3KVD3","ZvLB05nZmT","P3lXMJvFrc","8N2wDY1A35","oraRL2iQuh","3DZMoQKiUl","jLgFTUHLKL","bF6eod5Gvf"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","9FxExcQeMw"],"result":"≮⫘↔-110111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4632","layer":4},{"info":"number node, value=5336","layer":4},{"info":"compute binary expreesion, left_input=4632, right_input=5336, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=608","layer":2},{"info":"compute unary expreesion, input=608, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-1856","layer":1},{"info":"number node, value=3286","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=3103, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=113, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-353","layer":2},{"info":"number node, value=1104","layer":4},{"info":"number node, value=4799","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=4799, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-14397","layer":3},{"info":"compute unary expreesion, input=-14397, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=60208","layer":2},{"info":"compute binary expreesion, left_input=-353, right_input=60208, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=353","layer":1},{"info":"compute binary expreesion, left_input=-1856, right_input=353, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":0}],"base":2,"result_base":2,"text":"(⫯((≮⫘↔1001000011000⫳≱↱≮⫘↔1010011011000)⪘⨀))⪕((≮⫘↔110011010110⪡≮⫘↔110000011111)≁(≱⇩⩕≮⫘↔10011001011)⫲≸⪮(↩≮⫘↔10001010000→⨶⪴≮⫘↔1001010111111))=≮⫘↔-110111","reverse_text":"≮⫘↔-110111=(⫯((≮⫘↔1001000011000⫳≱↱≮⫘↔1010011011000)⪘⨀))⪕((≮⫘↔110011010110⪡≮⫘↔110000011111)≁(≱⇩⩕≮⫘↔10011001011)⫲≸⪮(↩≮⫘↔10001010000→⨶⪴≮⫘↔1001010111111))","cot":[{"info":"≮⫘↔1001000011000⫳≱↱≮⫘↔1010011011000=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔-11001100⪘⨀=≮⫘↔1001100000","layer":2},{"info":"⫯≮⫘↔1001100000=≮⫘↔-11101000000","layer":1},{"info":"≮⫘↔110011010110⪡≮⫘↔110000011111=≮⫘↔1101011","layer":3},{"info":"≱⇩⩕≮⫘↔10011001011=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1101011≁≮⫘↔1110001=≮⫘↔-101100001","layer":2},{"info":"≮⫘↔10001010000→⨶⪴≮⫘↔1001010111111=≮⫘↔-11100000111101","layer":3},{"info":"↩≮⫘↔-11100000111101=≮⫘↔1110101100110000","layer":2},{"info":"≮⫘↔-101100001⫲≸⪮≮⫘↔1110101100110000=≮⫘↔101100001","layer":1},{"info":"≮⫘↔-11101000000⪕≮⫘↔101100001=≮⫘↔-110111","layer":0}]}
{"id":875,"expression_no_base_symbol":"(⨙⪌(($3473$⪬∳)⪇≇⋚$2698$≹⇙⪍$1645$))⫒⫫(($3220$⪗)⨚(⫟$1128$))↞⋁($3889$↙$3123$⪉⨛($4575$⋷$1622$))","expression":"(⨙⪌((≮⫘↔110110010001⪬∳)⪇≇⋚≮⫘↔101010001010≹⇙⪍≮⫘↔11001101101))⫒⫫((≮⫘↔110010010100⪗)⨚(⫟≮⫘↔10001101000))↞⋁(≮⫘↔111100110001↙≮⫘↔110000110011⪉⨛(≮⫘↔1000111011111⋷≮⫘↔11001010110))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":17061,"operation_count":12,"complexity_ratio":1421.75,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":3473,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2698,"base":2},"right_expr":{"type":"numeric_atoms","value":1645,"base":2}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":3220,"base":2}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1128,"base":2}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3889,"base":2},"right_expr":{"type":"numeric_atoms","value":3123,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4575,"base":2},"right_expr":{"type":"numeric_atoms","value":1622,"base":2}}}}},"used_operators":["6Ko8hGgeMq","vEGLkm4Z2k","3sJ7IOPOlU","O9U3z1385E","AHs5Up7iyr","RqrPlJkxDo","nREPSIbpBE","VEQNXA0ZBg","z4E1FaHLuy","EWw2JM7wp4","yyfyN0ffXY","23Mk6UjR3U"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","dWAJyo7jo9","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","BjRHVeLaeN","12rbrZMWeM","dWAJyo7jo9","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3473","layer":4},{"info":"compute unary expreesion, input=3473, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=2698","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=1645, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":1},{"info":"number node, value=3220","layer":4},{"info":"compute unary expreesion, input=3220, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-2477","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2477, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"number node, value=3889","layer":4},{"info":"number node, value=3123","layer":4},{"info":"compute binary expreesion, left_input=3889, right_input=3123, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9369","layer":3},{"info":"number node, value=4575","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=4575, right_input=1622, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1331","layer":3},{"info":"compute binary expreesion, left_input=-9369, right_input=-1331, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-23899","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-23899, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨙⪌((≮⫘↔110110010001⪬∳)⪇≇⋚≮⫘↔101010001010≹⇙⪍≮⫘↔11001101101))⫒⫫((≮⫘↔110010010100⪗)⨚(⫟≮⫘↔10001101000))↞⋁(≮⫘↔111100110001↙≮⫘↔110000110011⪉⨛(≮⫘↔1000111011111⋷≮⫘↔11001010110))=NaN","reverse_text":"NaN=(⨙⪌((≮⫘↔110110010001⪬∳)⪇≇⋚≮⫘↔101010001010≹⇙⪍≮⫘↔11001101101))⫒⫫((≮⫘↔110010010100⪗)⨚(⫟≮⫘↔10001101000))↞⋁(≮⫘↔111100110001↙≮⫘↔110000110011⪉⨛(≮⫘↔1000111011111⋷≮⫘↔11001010110))","cot":[{"info":"≮⫘↔110110010001⪬∳=≮⫘↔-1011000101","layer":3},{"info":"≮⫘↔101010001010≹⇙⪍≮⫘↔11001101101=NaN","layer":3},{"info":"≮⫘↔-1011000101⪇≇⋚NaN=NaN","layer":2},{"info":"⨙⪌NaN=NaN","layer":1},{"info":"≮⫘↔110010010100⪗=NaN","layer":3},{"info":"⫟≮⫘↔10001101000=≮⫘↔-100110101101","layer":3},{"info":"NaN⨚≮⫘↔-100110101101=NaN","layer":2},{"info":"≮⫘↔111100110001↙≮⫘↔110000110011=≮⫘↔-10010010011001","layer":3},{"info":"≮⫘↔1000111011111⋷≮⫘↔11001010110=≮⫘↔-10100110011","layer":3},{"info":"≮⫘↔-10010010011001⪉⨛≮⫘↔-10100110011=≮⫘↔-101110101011011","layer":2},{"info":"NaN↞⋁≮⫘↔-101110101011011=NaN","layer":1},{"info":"NaN⫒⫫NaN=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"((($1190$⨰$5540$)⇗⋫)⇮⋭($1324$↱$1046$)⫞⩸⩒($5064$↦))⨚⇆(($1052$⩚⊴⇥$2057$)⪡$4706$⋹⋡⊁$5468$↙(⪹$1814$)⪭(↽≂$1829$))","expression":"(((≮⫘↔10010100110⨰≮⫘↔1010110100100)⇗⋫)⇮⋭(≮⫘↔10100101100↱≮⫘↔10000010110)⫞⩸⩒(≮⫘↔1001111001000↦))⨚⇆((≮⫘↔10000011100⩚⊴⇥≮⫘↔100000001001)⪡≮⫘↔1001001100010⋹⋡⊁≮⫘↔1010101011100↙(⪹≮⫘↔11100010110)⪭(↽≂≮⫘↔11100100101))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":288899,"operation_count":14,"complexity_ratio":20635.64285714286,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1190,"base":2},"right_expr":{"type":"numeric_atoms","value":5540,"base":2}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1324,"base":2},"right_expr":{"type":"numeric_atoms","value":1046,"base":2}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":5064,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1052,"base":2},"right_expr":{"type":"numeric_atoms","value":2057,"base":2}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4706,"base":2},"right_expr":{"type":"numeric_atoms","value":5468,"base":2}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1814,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1829,"base":2}}}}},"used_operators":["lwHaAYXP2r","vkpjKywKVM","hpqmaQFPrd","eewbuw0ToL","XGcMNugi78","SR5kFfdi6N","fFznvYxMfW","yyfyN0ffXY","oraRL2iQuh","NTOWxs364D","As8RqfVLgs","j9kHMeSvPp","USyYr0JgAa","u6S6b8DprG"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rxpJgHHUmx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","tmPS8pqC7x","DpFCA1CohY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","COABgblf1C","xUOZtlo3hN","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":4},{"info":"number node, value=5540","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=5540, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4340","layer":3},{"info":"compute unary expreesion, input=-4340, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=1324","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=1046, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2616","layer":3},{"info":"number node, value=5064","layer":4},{"info":"compute unary expreesion, input=5064, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2616, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-2616","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2616, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=1052","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=2057, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3230","layer":3},{"info":"number node, value=4706","layer":4},{"info":"number node, value=5468","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=5468, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6218","layer":3},{"info":"compute binary expreesion, left_input=-3230, right_input=6218, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=7428","layer":2},{"info":"number node, value=1814","layer":4},{"info":"compute unary expreesion, input=1814, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1634","layer":3},{"info":"number node, value=1829","layer":4},{"info":"compute unary expreesion, input=1829, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3658","layer":3},{"info":"compute binary expreesion, left_input=-1634, right_input=-3658, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=1460","layer":2},{"info":"compute binary expreesion, left_input=7428, right_input=1460, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4380","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-4380, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10010100110⨰≮⫘↔1010110100100)⇗⋫)⇮⋭(≮⫘↔10100101100↱≮⫘↔10000010110)⫞⩸⩒(≮⫘↔1001111001000↦))⨚⇆((≮⫘↔10000011100⩚⊴⇥≮⫘↔100000001001)⪡≮⫘↔1001001100010⋹⋡⊁≮⫘↔1010101011100↙(⪹≮⫘↔11100010110)⪭(↽≂≮⫘↔11100100101))=NaN","reverse_text":"NaN=(((≮⫘↔10010100110⨰≮⫘↔1010110100100)⇗⋫)⇮⋭(≮⫘↔10100101100↱≮⫘↔10000010110)⫞⩸⩒(≮⫘↔1001111001000↦))⨚⇆((≮⫘↔10000011100⩚⊴⇥≮⫘↔100000001001)⪡≮⫘↔1001001100010⋹⋡⊁≮⫘↔1010101011100↙(⪹≮⫘↔11100010110)⪭(↽≂≮⫘↔11100100101))","cot":[{"info":"≮⫘↔10010100110⨰≮⫘↔1010110100100=≮⫘↔-1000011110100","layer":3},{"info":"≮⫘↔-1000011110100⇗⋫=NaN","layer":2},{"info":"≮⫘↔10100101100↱≮⫘↔10000010110=≮⫘↔-101000111000","layer":3},{"info":"≮⫘↔1001111001000↦=NaN","layer":3},{"info":"≮⫘↔-101000111000⫞⩸⩒NaN=≮⫘↔-101000111000","layer":2},{"info":"NaN⇮⋭≮⫘↔-101000111000=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10000011100⩚⊴⇥≮⫘↔100000001001=≮⫘↔-110010011110","layer":3},{"info":"≮⫘↔1001001100010⋹⋡⊁≮⫘↔1010101011100=≮⫘↔1100001001010","layer":3},{"info":"≮⫘↔-110010011110⪡≮⫘↔1100001001010=≮⫘↔1110100000100","layer":2},{"info":"⪹≮⫘↔11100010110=≮⫘↔-11001100010","layer":3},{"info":"↽≂≮⫘↔11100100101=≮⫘↔-111001001010","layer":3},{"info":"≮⫘↔-11001100010⪭≮⫘↔-111001001010=≮⫘↔10110110100","layer":2},{"info":"≮⫘↔1110100000100↙≮⫘↔10110110100=≮⫘↔-1000100011100","layer":1},{"info":"≮⫘↔1000011⨚⇆≮⫘↔-1000100011100=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"($3862$⊕∕$2763$⋭≵$4193$⇴∐$4240$)∴(($7295$∕⩚$4426$)⪇≇⋚$1446$⪘⫢$5187$)↱(($7109$≎⊠⪸$1550$⋖∅⋲)⨉)","expression":"(≮⫘↔111100010110⊕∕≮⫘↔101011001011⋭≵≮⫘↔1000001100001⇴∐≮⫘↔1000010010000)∴((≮⫘↔1110001111111∕⩚≮⫘↔1000101001010)⪇≇⋚≮⫘↔10110100110⪘⫢≮⫘↔1010001000011)↱((≮⫘↔1101111000101≎⊠⪸≮⫘↔11000001110⋖∅⋲)⨉)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":392154,"operation_count":11,"complexity_ratio":35650.36363636364,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3862,"base":2},"right_expr":{"type":"numeric_atoms","value":2763,"base":2}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4193,"base":2},"right_expr":{"type":"numeric_atoms","value":4240,"base":2}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":7295,"base":2},"right_expr":{"type":"numeric_atoms","value":4426,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1446,"base":2},"right_expr":{"type":"numeric_atoms","value":5187,"base":2}}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7109,"base":2},"right_expr":{"type":"numeric_atoms","value":1550,"base":2}}}}},"used_operators":["SR5kFfdi6N","hrf7POJlIJ","jBncVCNhdl","9cloC0Ngie","HnzytWxmAO","3sJ7IOPOlU","z9ffQ9n5Zr","oacrs7FA3X","aMUSaJuDRU","L95AwlJzhO","bJkvcejdHO"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"≮⫘↔-1000110100011010101000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3862","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=2763, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3862","layer":3},{"info":"number node, value=4193","layer":4},{"info":"number node, value=4240","layer":4},{"info":"compute binary expreesion, left_input=4193, right_input=4240, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3862, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=7295","layer":4},{"info":"number node, value=4426","layer":4},{"info":"compute binary expreesion, left_input=7295, right_input=4426, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-7298","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=5187","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=5187, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2768","layer":3},{"info":"compute binary expreesion, left_input=-7298, right_input=2768, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1782","layer":1},{"info":"number node, value=7109","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=7109, right_input=1550, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1840758","layer":3},{"info":"compute unary expreesion, input=1840758, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":2},{"info":"compute unary expreesion, input=-384231, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=770790","layer":1},{"info":"compute binary expreesion, left_input=1782, right_input=770790, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2311848","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111100010110⊕∕≮⫘↔101011001011⋭≵≮⫘↔1000001100001⇴∐≮⫘↔1000010010000)∴((≮⫘↔1110001111111∕⩚≮⫘↔1000101001010)⪇≇⋚≮⫘↔10110100110⪘⫢≮⫘↔1010001000011)↱((≮⫘↔1101111000101≎⊠⪸≮⫘↔11000001110⋖∅⋲)⨉)=≮⫘↔-1000110100011010101000","reverse_text":"≮⫘↔-1000110100011010101000=(≮⫘↔111100010110⊕∕≮⫘↔101011001011⋭≵≮⫘↔1000001100001⇴∐≮⫘↔1000010010000)∴((≮⫘↔1110001111111∕⩚≮⫘↔1000101001010)⪇≇⋚≮⫘↔10110100110⪘⫢≮⫘↔1010001000011)↱((≮⫘↔1101111000101≎⊠⪸≮⫘↔11000001110⋖∅⋲)⨉)","cot":[{"info":"≮⫘↔111100010110⊕∕≮⫘↔101011001011=≮⫘↔111100010110","layer":3},{"info":"≮⫘↔1000001100001⇴∐≮⫘↔1000010010000=NaN","layer":3},{"info":"≮⫘↔111100010110⋭≵NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1110001111111∕⩚≮⫘↔1000101001010=≮⫘↔-1110010000010","layer":3},{"info":"≮⫘↔10110100110⪘⫢≮⫘↔1010001000011=≮⫘↔101011010000","layer":3},{"info":"≮⫘↔-1110010000010⪇≇⋚≮⫘↔101011010000=≮⫘↔0","layer":2},{"info":"≮⫘↔1000011∴≮⫘↔0=≮⫘↔11011110110","layer":1},{"info":"≮⫘↔1101111000101≎⊠⪸≮⫘↔11000001110=≮⫘↔111000001011001110110","layer":3},{"info":"≮⫘↔111000001011001110110⋖∅⋲=≮⫘↔-1011101110011100111","layer":2},{"info":"≮⫘↔-1011101110011100111⨉=≮⫘↔10111100001011100110","layer":1},{"info":"≮⫘↔11011110110↱≮⫘↔10111100001011100110=≮⫘↔-1000110100011010101000","layer":0}]}
{"id":878,"expression_no_base_symbol":"(($5321$⫻⋑⊟)⊾⪯⋞$4692$⨔≚≋$3898$⊭↱(($5206$⊟⇱)⨁⊸⫻))⪭≯(($3465$∵≐)∕⩚($1672$⨎⋸⪻))≹⇙⪍($2958$≑≱⪘)↹⊜($5035$≹⇙⪍$6634$)","expression":"((≮⫘↔1010011001001⫻⋑⊟)⊾⪯⋞≮⫘↔1001001010100⨔≚≋≮⫘↔111100111010⊭↱((≮⫘↔1010001010110⊟⇱)⨁⊸⫻))⪭≯((≮⫘↔110110001001∵≐)∕⩚(≮⫘↔11010001000⨎⋸⪻))≹⇙⪍(≮⫘↔101110001110≑≱⪘)↹⊜(≮⫘↔1001110101011≹⇙⪍≮⫘↔1100111101010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8145,"operation_count":14,"complexity_ratio":581.7857142857143,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":5321,"base":2}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4692,"base":2},"right_expr":{"type":"numeric_atoms","value":3898,"base":2}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":5206,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":3465,"base":2}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1672,"base":2}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2958,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5035,"base":2},"right_expr":{"type":"numeric_atoms","value":6634,"base":2}}}}},"used_operators":["XAx5wpdLa6","COABgblf1C","HK0tfVPux8","o575Zjdmzy","Z57zeUYC9z","glklzrTFfD","03sUfWo75k","AHs5Up7iyr","z9ffQ9n5Zr","59igzFyhWz","Dk5vyLCiGd","9bazX3JMtO","tGSeddj7UK"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","IWmyXbctLI","dWAJyo7jo9","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5321","layer":4},{"info":"compute unary expreesion, input=5321, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-10132","layer":3},{"info":"number node, value=4692","layer":4},{"info":"number node, value=3898","layer":4},{"info":"compute binary expreesion, left_input=4692, right_input=3898, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-10132, right_input=9872, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=19318","layer":2},{"info":"number node, value=5206","layer":4},{"info":"compute unary expreesion, input=5206, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=10728","layer":3},{"info":"compute unary expreesion, input=10728, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=10728","layer":2},{"info":"compute binary expreesion, left_input=19318, right_input=10728, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-17175","layer":1},{"info":"number node, value=3465","layer":4},{"info":"compute unary expreesion, input=3465, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=2519","layer":3},{"info":"number node, value=1672","layer":4},{"info":"compute unary expreesion, input=1672, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=3660","layer":3},{"info":"compute binary expreesion, left_input=2519, right_input=3660, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2522","layer":2},{"info":"number node, value=2958","layer":4},{"info":"compute unary expreesion, input=2958, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=73273","layer":3},{"info":"number node, value=5035","layer":4},{"info":"number node, value=6634","layer":4},{"info":"compute binary expreesion, left_input=5035, right_input=6634, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=73273, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2522, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-17175, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010011001001⫻⋑⊟)⊾⪯⋞≮⫘↔1001001010100⨔≚≋≮⫘↔111100111010⊭↱((≮⫘↔1010001010110⊟⇱)⨁⊸⫻))⪭≯((≮⫘↔110110001001∵≐)∕⩚(≮⫘↔11010001000⨎⋸⪻))≹⇙⪍(≮⫘↔101110001110≑≱⪘)↹⊜(≮⫘↔1001110101011≹⇙⪍≮⫘↔1100111101010)=NaN","reverse_text":"NaN=((≮⫘↔1010011001001⫻⋑⊟)⊾⪯⋞≮⫘↔1001001010100⨔≚≋≮⫘↔111100111010⊭↱((≮⫘↔1010001010110⊟⇱)⨁⊸⫻))⪭≯((≮⫘↔110110001001∵≐)∕⩚(≮⫘↔11010001000⨎⋸⪻))≹⇙⪍(≮⫘↔101110001110≑≱⪘)↹⊜(≮⫘↔1001110101011≹⇙⪍≮⫘↔1100111101010)","cot":[{"info":"≮⫘↔1010011001001⫻⋑⊟=≮⫘↔-10011110010100","layer":3},{"info":"≮⫘↔1001001010100⨔≚≋≮⫘↔111100111010=≮⫘↔10011010010000","layer":3},{"info":"≮⫘↔-10011110010100⊾⪯⋞≮⫘↔10011010010000=≮⫘↔100101101110110","layer":2},{"info":"≮⫘↔1010001010110⊟⇱=≮⫘↔10100111101000","layer":3},{"info":"≮⫘↔10100111101000⨁⊸⫻=≮⫘↔10100111101000","layer":2},{"info":"≮⫘↔100101101110110⊭↱≮⫘↔10100111101000=≮⫘↔-100001100010111","layer":1},{"info":"≮⫘↔110110001001∵≐=≮⫘↔100111010111","layer":3},{"info":"≮⫘↔11010001000⨎⋸⪻=≮⫘↔111001001100","layer":3},{"info":"≮⫘↔100111010111∕⩚≮⫘↔111001001100=≮⫘↔-100111011010","layer":2},{"info":"≮⫘↔101110001110≑≱⪘=≮⫘↔10001111000111001","layer":3},{"info":"≮⫘↔1001110101011≹⇙⪍≮⫘↔1100111101010=NaN","layer":3},{"info":"≮⫘↔10001111000111001↹⊜NaN=NaN","layer":2},{"info":"≮⫘↔-100111011010≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔-100001100010111⪭≯NaN=NaN","layer":0}]}
{"id":879,"expression_no_base_symbol":"(($1409$⋳⪒$1027$)⪇≇⋚(⨈⫕$2821$)/(↞≼($6885$↓$7738$)))⪛(∂⩏⊆(⩒∊$1158$)≧⫂∧$5188$∺≝⩲$1497$)","expression":"((≮⫘↔10110000001⋳⪒≮⫘↔10000000011)⪇≇⋚(⨈⫕≮⫘↔101100000101)/(↞≼(≮⫘↔1101011100101↓≮⫘↔1111000111010)))⪛(∂⩏⊆(⩒∊≮⫘↔10010000110)≧⫂∧≮⫘↔1010001000100∺≝⩲≮⫘↔10111011001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":109071,"operation_count":11,"complexity_ratio":9915.545454545454,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1409,"base":2},"right_expr":{"type":"numeric_atoms","value":1027,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2821,"base":2}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6885,"base":2},"right_expr":{"type":"numeric_atoms","value":7738,"base":2}}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1158,"base":2}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5188,"base":2},"right_expr":{"type":"numeric_atoms","value":1497,"base":2}}}}},"used_operators":["uFcxV4UQCh","XhwjNDsVaA","3sJ7IOPOlU","12rbrZMWeM","megm06wKyl","DE7zCoGJt9","Af076pWI7l","8WDwsbhb0R","Ph9nP6C5qx","qazvmhNBbN","KPf6cnQVty"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=1027, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1504","layer":3},{"info":"number node, value=2821","layer":4},{"info":"compute unary expreesion, input=2821, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=1504, right_input=-21, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=6885","layer":4},{"info":"number node, value=7738","layer":4},{"info":"compute binary expreesion, left_input=6885, right_input=7738, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-1486","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1486, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1559","layer":3},{"info":"number node, value=5188","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=5188, right_input=1497, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1559, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"compute unary expreesion, input=-313, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=797","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=797, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110000001⋳⪒≮⫘↔10000000011)⪇≇⋚(⨈⫕≮⫘↔101100000101)/(↞≼(≮⫘↔1101011100101↓≮⫘↔1111000111010)))⪛(∂⩏⊆(⩒∊≮⫘↔10010000110)≧⫂∧≮⫘↔1010001000100∺≝⩲≮⫘↔10111011001)=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔10110000001⋳⪒≮⫘↔10000000011)⪇≇⋚(⨈⫕≮⫘↔101100000101)/(↞≼(≮⫘↔1101011100101↓≮⫘↔1111000111010)))⪛(∂⩏⊆(⩒∊≮⫘↔10010000110)≧⫂∧≮⫘↔1010001000100∺≝⩲≮⫘↔10111011001)","cot":[{"info":"≮⫘↔10110000001⋳⪒≮⫘↔10000000011=≮⫘↔10111100000","layer":3},{"info":"⨈⫕≮⫘↔101100000101=≮⫘↔-10101","layer":3},{"info":"≮⫘↔10111100000⪇≇⋚≮⫘↔-10101=≮⫘↔0","layer":2},{"info":"≮⫘↔1101011100101↓≮⫘↔1111000111010=≮⫘↔-10000110","layer":3},{"info":"↞≼≮⫘↔-10000110=≮⫘↔-10111001110","layer":2},{"info":"≮⫘↔0/≮⫘↔-10111001110=≮⫘↔0","layer":1},{"info":"⩒∊≮⫘↔10010000110=≮⫘↔11000010111","layer":3},{"info":"≮⫘↔1010001000100∺≝⩲≮⫘↔10111011001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11000010111≧⫂∧≮⫘↔10100000=≮⫘↔-100111001","layer":2},{"info":"∂⩏⊆≮⫘↔-100111001=≮⫘↔1100011101","layer":1},{"info":"≮⫘↔0⪛≮⫘↔1100011101=≮⫘↔0","layer":0}]}
{"id":880,"expression_no_base_symbol":"($1179$⇤$4022$∊∟⩊$1411$⪃⊛⇣$2257$)↞⋁(($3778$≀⩗∶$5982$)⨜⨶$4964$⇡⇂$2248$)⪕(⊤⊝$2883$≥⨤⩑$1493$)⨐($6551$⪪$1327$⊝⪿⪼(⩏⊷≩$1028$))","expression":"(≮⫘↔10010011011⇤≮⫘↔111110110110∊∟⩊≮⫘↔10110000011⪃⊛⇣≮⫘↔100011010001)↞⋁((≮⫘↔111011000010≀⩗∶≮⫘↔1011101011110)⨜⨶≮⫘↔1001101100100⇡⇂≮⫘↔100011001000)⪕(⊤⊝≮⫘↔101101000011≥⨤⩑≮⫘↔10111010101)⨐(≮⫘↔1100110010111⪪≮⫘↔10100101111⊝⪿⪼(⩏⊷≩≮⫘↔10000000100))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":35742,"operation_count":14,"complexity_ratio":2553.0,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1179,"base":2},"right_expr":{"type":"numeric_atoms","value":4022,"base":2}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1411,"base":2},"right_expr":{"type":"numeric_atoms","value":2257,"base":2}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3778,"base":2},"right_expr":{"type":"numeric_atoms","value":5982,"base":2}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4964,"base":2},"right_expr":{"type":"numeric_atoms","value":2248,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2883,"base":2},"right_expr":{"type":"numeric_atoms","value":1493,"base":2}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6551,"base":2},"right_expr":{"type":"numeric_atoms","value":1327,"base":2}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1028,"base":2}}}}},"used_operators":["umQnsF7QlU","RqrPlJkxDo","ddLRYrp01A","YSKBFp38Pu","rrgAzCduG9","HiPekx5b7W","8INZBEW696","UMwdvZNt44","Noe24qw2ks","rXAclfmB4M","gJLn6v0xnP","3Oe9XWJUTD","xD69zh8xqp","uOZ1tnYMDE"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","23Mk6UjR3U","12rbrZMWeM"],"result":"≮⫘↔1110100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1179","layer":4},{"info":"number node, value=4022","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=4022, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-23157","layer":3},{"info":"number node, value=1411","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=2257, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-23157, right_input=1234, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1234","layer":2},{"info":"number node, value=3778","layer":4},{"info":"number node, value=5982","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=5982, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"number node, value=4964","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=4964, right_input=2248, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=2883","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=2883, right_input=1493, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1170","layer":2},{"info":"number node, value=6551","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=6551, right_input=1327, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-985290","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1755","layer":3},{"info":"compute binary expreesion, left_input=-985290, right_input=1755, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-14769418","layer":2},{"info":"compute binary expreesion, left_input=1170, right_input=-14769418, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2340","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2340, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010011011⇤≮⫘↔111110110110∊∟⩊≮⫘↔10110000011⪃⊛⇣≮⫘↔100011010001)↞⋁((≮⫘↔111011000010≀⩗∶≮⫘↔1011101011110)⨜⨶≮⫘↔1001101100100⇡⇂≮⫘↔100011001000)⪕(⊤⊝≮⫘↔101101000011≥⨤⩑≮⫘↔10111010101)⨐(≮⫘↔1100110010111⪪≮⫘↔10100101111⊝⪿⪼(⩏⊷≩≮⫘↔10000000100))=≮⫘↔1110100111","reverse_text":"≮⫘↔1110100111=(≮⫘↔10010011011⇤≮⫘↔111110110110∊∟⩊≮⫘↔10110000011⪃⊛⇣≮⫘↔100011010001)↞⋁((≮⫘↔111011000010≀⩗∶≮⫘↔1011101011110)⨜⨶≮⫘↔1001101100100⇡⇂≮⫘↔100011001000)⪕(⊤⊝≮⫘↔101101000011≥⨤⩑≮⫘↔10111010101)⨐(≮⫘↔1100110010111⪪≮⫘↔10100101111⊝⪿⪼(⩏⊷≩≮⫘↔10000000100))","cot":[{"info":"≮⫘↔10010011011⇤≮⫘↔111110110110=≮⫘↔-101101001110101","layer":3},{"info":"≮⫘↔10110000011⪃⊛⇣≮⫘↔100011010001=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-101101001110101∊∟⩊≮⫘↔10011010010=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔111011000010≀⩗∶≮⫘↔1011101011110=≮⫘↔-11","layer":3},{"info":"≮⫘↔1001101100100⇡⇂≮⫘↔100011001000=NaN","layer":3},{"info":"≮⫘↔-11⨜⨶NaN=NaN","layer":2},{"info":"≮⫘↔10011010010↞⋁NaN=NaN","layer":1},{"info":"≮⫘↔101101000011≥⨤⩑≮⫘↔10111010101=≮⫘↔10011010010","layer":3},{"info":"⊤⊝≮⫘↔10011010010=≮⫘↔10010010010","layer":2},{"info":"≮⫘↔1100110010111⪪≮⫘↔10100101111=≮⫘↔-11110000100011001010","layer":3},{"info":"⩏⊷≩≮⫘↔10000000100=≮⫘↔11011011011","layer":3},{"info":"≮⫘↔-11110000100011001010⊝⪿⪼≮⫘↔11011011011=≮⫘↔-111000010101110100001010","layer":2},{"info":"≮⫘↔10010010010⨐≮⫘↔-111000010101110100001010=≮⫘↔-100100100100","layer":1},{"info":"NaN⪕≮⫘↔-100100100100=≮⫘↔1110100111","layer":0}]}
{"id":881,"expression_no_base_symbol":"(($4155$⩇∃⫛$7238$⊓⋫)⨐⩸⫘(⫵↿(↩$1340$)))↳∿⪆($4456$⊮⊟↴$4430$⨻⩈⩔($2914$⋝⋈⪟$2176$)⇣⩺⋵($3987$⨑⩅≇$8152$⩎⪣⊞))","expression":"((≮⫘↔1000000111011⩇∃⫛≮⫘↔1110001000110⊓⋫)⨐⩸⫘(⫵↿(↩≮⫘↔10100111100)))↳∿⪆(≮⫘↔1000101101000⊮⊟↴≮⫘↔1000101001110⨻⩈⩔(≮⫘↔101101100010⋝⋈⪟≮⫘↔100010000000)⇣⩺⋵(≮⫘↔111110010011⨑⩅≇≮⫘↔1111111011000⩎⪣⊞))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":197921,"operation_count":12,"complexity_ratio":16493.416666666668,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4155,"base":2},"right_expr":{"type":"numeric_atoms","value":7238,"base":2}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1340,"base":2}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4456,"base":2},"right_expr":{"type":"numeric_atoms","value":4430,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2914,"base":2},"right_expr":{"type":"numeric_atoms","value":2176,"base":2}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3987,"base":2},"right_expr":{"type":"numeric_atoms","value":8152,"base":2}}}}},"used_operators":["Cw4SuJJGHO","fu6greOZ01","IqGBaFP0uj","1aApVXNlOP","ivGwdmUAux","jLgFTUHLKL","F4yD0voBRQ","nEsXyWgiOK","QDVgd2eftb","2DDjHMKMc0","waWucp1uQ4","h92wMvzauj"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","3ViojmjbAp","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4155","layer":4},{"info":"number node, value=7238","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=7238, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=3556","layer":3},{"info":"compute unary expreesion, input=3556, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3684","layer":2},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7940","layer":3},{"info":"compute unary expreesion, input=-7940, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=-3684, right_input=137, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-140","layer":1},{"info":"number node, value=4456","layer":4},{"info":"number node, value=4430","layer":4},{"info":"compute binary expreesion, left_input=4456, right_input=4430, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=2176, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2914","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2914, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=3987","layer":4},{"info":"number node, value=8152","layer":4},{"info":"compute binary expreesion, left_input=3987, right_input=8152, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-11961","layer":3},{"info":"compute unary expreesion, input=-11961, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-140, right_input=-260, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000000111011⩇∃⫛≮⫘↔1110001000110⊓⋫)⨐⩸⫘(⫵↿(↩≮⫘↔10100111100)))↳∿⪆(≮⫘↔1000101101000⊮⊟↴≮⫘↔1000101001110⨻⩈⩔(≮⫘↔101101100010⋝⋈⪟≮⫘↔100010000000)⇣⩺⋵(≮⫘↔111110010011⨑⩅≇≮⫘↔1111111011000⩎⪣⊞))=NaN","reverse_text":"NaN=((≮⫘↔1000000111011⩇∃⫛≮⫘↔1110001000110⊓⋫)⨐⩸⫘(⫵↿(↩≮⫘↔10100111100)))↳∿⪆(≮⫘↔1000101101000⊮⊟↴≮⫘↔1000101001110⨻⩈⩔(≮⫘↔101101100010⋝⋈⪟≮⫘↔100010000000)⇣⩺⋵(≮⫘↔111110010011⨑⩅≇≮⫘↔1111111011000⩎⪣⊞))","cot":[{"info":"≮⫘↔1000000111011⩇∃⫛≮⫘↔1110001000110=≮⫘↔110111100100","layer":3},{"info":"≮⫘↔110111100100⊓⋫=≮⫘↔-111001100100","layer":2},{"info":"↩≮⫘↔10100111100=≮⫘↔-1111100000100","layer":3},{"info":"⫵↿≮⫘↔-1111100000100=≮⫘↔10001001","layer":2},{"info":"≮⫘↔-111001100100⨐⩸⫘≮⫘↔10001001=≮⫘↔-10001100","layer":1},{"info":"≮⫘↔1000101101000⊮⊟↴≮⫘↔1000101001110=≮⫘↔0","layer":3},{"info":"≮⫘↔101101100010⋝⋈⪟≮⫘↔100010000000=≮⫘↔101101100010","layer":3},{"info":"≮⫘↔0⨻⩈⩔≮⫘↔101101100010=≮⫘↔-10101110","layer":2},{"info":"≮⫘↔111110010011⨑⩅≇≮⫘↔1111111011000=≮⫘↔-10111010111001","layer":3},{"info":"≮⫘↔-10111010111001⩎⪣⊞=NaN","layer":2},{"info":"≮⫘↔-10101110⇣⩺⋵NaN=≮⫘↔-100000100","layer":1},{"info":"≮⫘↔-10001100↳∿⪆≮⫘↔-100000100=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"(↯⪼($2380$⨻⩈⩔$4712$⨵⪆$1748$⨸⪁$2490$))⪔($3804$⨪↰⇹$1209$⫢⨠$2181$+⪬∐$2240$)⇷(($4048$≭$4588$)⨲)","expression":"(↯⪼(≮⫘↔100101001100⨻⩈⩔≮⫘↔1001001101000⨵⪆≮⫘↔11011010100⨸⪁≮⫘↔100110111010))⪔(≮⫘↔111011011100⨪↰⇹≮⫘↔10010111001⫢⨠≮⫘↔100010000101+⪬∐≮⫘↔100011000000)⇷((≮⫘↔111111010000≭≮⫘↔1000111101100)⨲)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":298220,"operation_count":11,"complexity_ratio":27110.909090909092,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2380,"base":2},"right_expr":{"type":"numeric_atoms","value":4712,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1748,"base":2},"right_expr":{"type":"numeric_atoms","value":2490,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3804,"base":2},"right_expr":{"type":"numeric_atoms","value":1209,"base":2}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2181,"base":2},"right_expr":{"type":"numeric_atoms","value":2240,"base":2}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4048,"base":2},"right_expr":{"type":"numeric_atoms","value":4588,"base":2}}}}},"used_operators":["GjBEYRfMaF","8jW3W4yZS5","2DQ55sFlQl","nEsXyWgiOK","g55IO6H4Gj","mp7IySMOzn","xlXykHWxX1","tmPS8pqC7x","2GS7woTJqF","nLYMGWM7L8","rxpJgHHUmx"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","AHs5Up7iyr"],"result":"≮⫘↔111000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2380","layer":4},{"info":"number node, value=4712","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=4712, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10639","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=2490, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8476","layer":3},{"info":"compute binary expreesion, left_input=10639, right_input=8476, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=3804","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=1209, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3804","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=2240, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6543","layer":3},{"info":"compute binary expreesion, left_input=3804, right_input=-6543, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=20642","layer":2},{"info":"number node, value=4048","layer":4},{"info":"number node, value=4588","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=4588, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"compute binary expreesion, left_input=20642, right_input=4683709, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9367418","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=9367418, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":2,"result_base":2,"text":"(↯⪼(≮⫘↔100101001100⨻⩈⩔≮⫘↔1001001101000⨵⪆≮⫘↔11011010100⨸⪁≮⫘↔100110111010))⪔(≮⫘↔111011011100⨪↰⇹≮⫘↔10010111001⫢⨠≮⫘↔100010000101+⪬∐≮⫘↔100011000000)⇷((≮⫘↔111111010000≭≮⫘↔1000111101100)⨲)=≮⫘↔111000010","reverse_text":"≮⫘↔111000010=(↯⪼(≮⫘↔100101001100⨻⩈⩔≮⫘↔1001001101000⨵⪆≮⫘↔11011010100⨸⪁≮⫘↔100110111010))⪔(≮⫘↔111011011100⨪↰⇹≮⫘↔10010111001⫢⨠≮⫘↔100010000101+⪬∐≮⫘↔100011000000)⇷((≮⫘↔111111010000≭≮⫘↔1000111101100)⨲)","cot":[{"info":"≮⫘↔100101001100⨻⩈⩔≮⫘↔1001001101000=≮⫘↔10100110001111","layer":3},{"info":"≮⫘↔11011010100⨸⪁≮⫘↔100110111010=≮⫘↔10000100011100","layer":3},{"info":"≮⫘↔10100110001111⨵⪆≮⫘↔10000100011100=≮⫘↔10100000","layer":2},{"info":"↯⪼≮⫘↔10100000=≮⫘↔-10101","layer":1},{"info":"≮⫘↔111011011100⨪↰⇹≮⫘↔10010111001=≮⫘↔111011011100","layer":3},{"info":"≮⫘↔100010000101+⪬∐≮⫘↔100011000000=≮⫘↔-1100110001111","layer":3},{"info":"≮⫘↔111011011100⫢⨠≮⫘↔-1100110001111=≮⫘↔101000010100010","layer":2},{"info":"≮⫘↔111111010000≭≮⫘↔1000111101100=NaN","layer":3},{"info":"NaN⨲=≮⫘↔10001110111011110111101","layer":2},{"info":"≮⫘↔101000010100010⇷≮⫘↔10001110111011110111101=≮⫘↔100011101110111101111010","layer":1},{"info":"≮⫘↔-10101⪔≮⫘↔100011101110111101111010=≮⫘↔111000010","layer":0}]}
{"id":883,"expression_no_base_symbol":"⋗⩴⪓($3378$∠↢$2699$∕⩚$3520$⩖⊿$3055$)⋥⋵⩄($1090$⫘$4043$-$2531$∲⫓$4637$)","expression":"⋗⩴⪓(≮⫘↔110100110010∠↢≮⫘↔101010001011∕⩚≮⫘↔110111000000⩖⊿≮⫘↔101111101111)⋥⋵⩄(≮⫘↔10001000010⫘≮⫘↔111111001011-≮⫘↔100111100011∲⫓≮⫘↔1001000011101)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":51638,"operation_count":8,"complexity_ratio":6454.75,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3378,"base":2},"right_expr":{"type":"numeric_atoms","value":2699,"base":2}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3520,"base":2},"right_expr":{"type":"numeric_atoms","value":3055,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1090,"base":2},"right_expr":{"type":"numeric_atoms","value":4043,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2531,"base":2},"right_expr":{"type":"numeric_atoms","value":4637,"base":2}}}}},"used_operators":["nOKPl9n5zu","7t3wd0Fuz7","z9ffQ9n5Zr","KbjG8mgYpV","RZ5CV9rWsJ","rysDP5nf3Z","48vC8HMD2b","i8ToyICDmI"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔11101010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3378","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=2699, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-50216","layer":3},{"info":"number node, value=3520","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=3055, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=10278","layer":3},{"info":"compute binary expreesion, left_input=-50216, right_input=10278, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=50213","layer":2},{"info":"number node, value=1090","layer":4},{"info":"number node, value=4043","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=4043, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1286245","layer":3},{"info":"number node, value=2531","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=4637, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1286245, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1286245","layer":2},{"info":"compute binary expreesion, left_input=50213, right_input=1286245, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=1876","layer":0}],"base":2,"result_base":2,"text":"⋗⩴⪓(≮⫘↔110100110010∠↢≮⫘↔101010001011∕⩚≮⫘↔110111000000⩖⊿≮⫘↔101111101111)⋥⋵⩄(≮⫘↔10001000010⫘≮⫘↔111111001011-≮⫘↔100111100011∲⫓≮⫘↔1001000011101)=≮⫘↔11101010100","reverse_text":"≮⫘↔11101010100=⋗⩴⪓(≮⫘↔110100110010∠↢≮⫘↔101010001011∕⩚≮⫘↔110111000000⩖⊿≮⫘↔101111101111)⋥⋵⩄(≮⫘↔10001000010⫘≮⫘↔111111001011-≮⫘↔100111100011∲⫓≮⫘↔1001000011101)","cot":[{"info":"≮⫘↔110100110010∠↢≮⫘↔101010001011=≮⫘↔-1100010000101000","layer":3},{"info":"≮⫘↔110111000000⩖⊿≮⫘↔101111101111=≮⫘↔10100000100110","layer":3},{"info":"≮⫘↔-1100010000101000∕⩚≮⫘↔10100000100110=≮⫘↔1100010000100101","layer":2},{"info":"≮⫘↔10001000010⫘≮⫘↔111111001011=≮⫘↔100111010000001100101","layer":3},{"info":"≮⫘↔100111100011∲⫓≮⫘↔1001000011101=≮⫘↔0","layer":3},{"info":"≮⫘↔100111010000001100101-≮⫘↔0=≮⫘↔100111010000001100101","layer":2},{"info":"≮⫘↔1100010000100101⋥⋵⩄≮⫘↔100111010000001100101=≮⫘↔1110001","layer":1},{"info":"⋗⩴⪓≮⫘↔1110001=≮⫘↔11101010100","layer":0}]}
{"id":884,"expression_no_base_symbol":"(⊊≼∋($9063$⨚⇆$5025$∙⊟$1455$≬⇓$1802$))≃(($6206$⊲⩕⊾$2426$)∋($3476$∕⩚$4176$))∓⋝($1574$≹⇙⪍$1724$⊋($6000$⪭$5086$))","expression":"(⊊≼∋(≮⫘↔10001101100111⨚⇆≮⫘↔1001110100001∙⊟≮⫘↔10110101111≬⇓≮⫘↔11100001010))≃((≮⫘↔1100000111110⊲⩕⊾≮⫘↔100101111010)∋(≮⫘↔110110010100∕⩚≮⫘↔1000001010000))∓⋝(≮⫘↔11000100110≹⇙⪍≮⫘↔11010111100⊋(≮⫘↔1011101110000⪭≮⫘↔1001111011110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":67315,"operation_count":12,"complexity_ratio":5609.583333333333,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":9063,"base":2},"right_expr":{"type":"numeric_atoms","value":5025,"base":2}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1455,"base":2},"right_expr":{"type":"numeric_atoms","value":1802,"base":2}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":6206,"base":2},"right_expr":{"type":"numeric_atoms","value":2426,"base":2}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3476,"base":2},"right_expr":{"type":"numeric_atoms","value":4176,"base":2}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1574,"base":2},"right_expr":{"type":"numeric_atoms","value":1724,"base":2}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6000,"base":2},"right_expr":{"type":"numeric_atoms","value":5086,"base":2}}}}},"used_operators":["YbVcJGFEVW","FWz7pXsQhA","SxTAKzQCrw","lwHaAYXP2r","jWTQ2TZYIH","PoHhknlbAi","ukq6epAj5P","DmTXOeWf9t","z9ffQ9n5Zr","W4tP9CfskL","AHs5Up7iyr","j9kHMeSvPp"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","B5M0gjZbta","jCPkEVoL5K","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","COABgblf1C","xUOZtlo3hN"],"result":"≮⫘↔-1001101000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9063","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=9063, right_input=5025, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1455","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=1802, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"number node, value=6206","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=6206, right_input=2426, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-120186","layer":3},{"info":"number node, value=3476","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=3476, right_input=4176, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3479","layer":3},{"info":"compute binary expreesion, left_input=-120186, right_input=-3479, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=426120","layer":2},{"info":"number node, value=1574","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=1724, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6000","layer":4},{"info":"number node, value=5086","layer":4},{"info":"compute binary expreesion, left_input=6000, right_input=5086, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5354","layer":2},{"info":"compute binary expreesion, left_input=426120, right_input=-5354, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-616","layer":0}],"base":2,"result_base":2,"text":"(⊊≼∋(≮⫘↔10001101100111⨚⇆≮⫘↔1001110100001∙⊟≮⫘↔10110101111≬⇓≮⫘↔11100001010))≃((≮⫘↔1100000111110⊲⩕⊾≮⫘↔100101111010)∋(≮⫘↔110110010100∕⩚≮⫘↔1000001010000))∓⋝(≮⫘↔11000100110≹⇙⪍≮⫘↔11010111100⊋(≮⫘↔1011101110000⪭≮⫘↔1001111011110))=≮⫘↔-1001101000","reverse_text":"≮⫘↔-1001101000=(⊊≼∋(≮⫘↔10001101100111⨚⇆≮⫘↔1001110100001∙⊟≮⫘↔10110101111≬⇓≮⫘↔11100001010))≃((≮⫘↔1100000111110⊲⩕⊾≮⫘↔100101111010)∋(≮⫘↔110110010100∕⩚≮⫘↔1000001010000))∓⋝(≮⫘↔11000100110≹⇙⪍≮⫘↔11010111100⊋(≮⫘↔1011101110000⪭≮⫘↔1001111011110))","cot":[{"info":"≮⫘↔10001101100111⨚⇆≮⫘↔1001110100001=NaN","layer":3},{"info":"≮⫘↔10110101111≬⇓≮⫘↔11100001010=≮⫘↔-10110","layer":3},{"info":"NaN∙⊟≮⫘↔-10110=NaN","layer":2},{"info":"⊊≼∋NaN=NaN","layer":1},{"info":"≮⫘↔1100000111110⊲⩕⊾≮⫘↔100101111010=≮⫘↔-11101010101111010","layer":3},{"info":"≮⫘↔110110010100∕⩚≮⫘↔1000001010000=≮⫘↔-110110010111","layer":3},{"info":"≮⫘↔-11101010101111010∋≮⫘↔-110110010111=≮⫘↔1101000000010001000","layer":2},{"info":"≮⫘↔11000100110≹⇙⪍≮⫘↔11010111100=NaN","layer":3},{"info":"≮⫘↔1011101110000⪭≮⫘↔1001111011110=≮⫘↔101","layer":3},{"info":"NaN⊋≮⫘↔101=≮⫘↔-1010011101010","layer":2},{"info":"≮⫘↔1101000000010001000∓⋝≮⫘↔-1010011101010=≮⫘↔1000011","layer":1},{"info":"NaN≃≮⫘↔1000011=≮⫘↔-1001101000","layer":0}]}
{"id":885,"expression_no_base_symbol":"⪨⨬((($7199$⇴$2691$)⇷(≸$1036$))⨻⩈⩔(⇙⪊$2618$↢$1092$))","expression":"⪨⨬(((≮⫘↔1110000011111⇴≮⫘↔101010000011)⇷(≸≮⫘↔10000001100))⨻⩈⩔(⇙⪊≮⫘↔101000111010↢≮⫘↔10001000100))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":674848,"operation_count":7,"complexity_ratio":96406.85714285714,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":7199,"base":2},"right_expr":{"type":"numeric_atoms","value":2691,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1036,"base":2}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2618,"base":2},"right_expr":{"type":"numeric_atoms","value":1092,"base":2}}}}},"used_operators":["5obUd6DV38","nEsXyWgiOK","mp7IySMOzn","4JB6nKBMSY","eOf03JbCpp","pB6Fcnrjim","WR6HLWljOP"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","NTOWxs364D","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≮⫘↔-1000001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7199","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=7199, right_input=2691, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=48190","layer":3},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=48190, right_input=58, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=116","layer":2},{"info":"number node, value=2618","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=1092, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2134","layer":3},{"info":"compute unary expreesion, input=2134, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=116, right_input=0, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute unary expreesion, input=-174, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":2,"result_base":2,"text":"⪨⨬(((≮⫘↔1110000011111⇴≮⫘↔101010000011)⇷(≸≮⫘↔10000001100))⨻⩈⩔(⇙⪊≮⫘↔101000111010↢≮⫘↔10001000100))=≮⫘↔-1000001110","reverse_text":"≮⫘↔-1000001110=⪨⨬(((≮⫘↔1110000011111⇴≮⫘↔101010000011)⇷(≸≮⫘↔10000001100))⨻⩈⩔(⇙⪊≮⫘↔101000111010↢≮⫘↔10001000100))","cot":[{"info":"≮⫘↔1110000011111⇴≮⫘↔101010000011=≮⫘↔1011110000111110","layer":3},{"info":"≸≮⫘↔10000001100=≮⫘↔111010","layer":3},{"info":"≮⫘↔1011110000111110⇷≮⫘↔111010=≮⫘↔1110100","layer":2},{"info":"≮⫘↔101000111010↢≮⫘↔10001000100=≮⫘↔100001010110","layer":3},{"info":"⇙⪊≮⫘↔100001010110=≮⫘↔0","layer":2},{"info":"≮⫘↔1110100⨻⩈⩔≮⫘↔0=≮⫘↔-10101110","layer":1},{"info":"⪨⨬≮⫘↔-10101110=≮⫘↔-1000001110","layer":0}]}
{"id":886,"expression_no_base_symbol":"((⊖∈$4622$≥⨤⩑$1058$)⪢((⪛⨧$3303$)⫏⊷))⇚⪠","expression":"((⊖∈≮⫘↔1001000001110≥⨤⩑≮⫘↔10000100010)⪢((⪛⨧≮⫘↔110011100111)⫏⊷))⇚⪠","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":29393,"operation_count":6,"complexity_ratio":4898.833333333333,"tree":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4622,"base":2},"right_expr":{"type":"numeric_atoms","value":1058,"base":2}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3303,"base":2}}}}},"used_operators":["Loh9y4A90B","dWAJyo7jo9","YFxL8Sc2Zy","gJLn6v0xnP","dcShxvzhyw","6NJAcO2OWT"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","k8jYdgA6NY","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4622","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=4622, right_input=1058, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=19086","layer":2},{"info":"number node, value=3303","layer":4},{"info":"compute unary expreesion, input=3303, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=8007","layer":3},{"info":"compute unary expreesion, input=8007, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=19086, right_input=-820, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊖∈≮⫘↔1001000001110≥⨤⩑≮⫘↔10000100010)⪢((⪛⨧≮⫘↔110011100111)⫏⊷))⇚⪠=NaN","reverse_text":"NaN=((⊖∈≮⫘↔1001000001110≥⨤⩑≮⫘↔10000100010)⪢((⪛⨧≮⫘↔110011100111)⫏⊷))⇚⪠","cot":[{"info":"≮⫘↔1001000001110≥⨤⩑≮⫘↔10000100010=≮⫘↔10011010010","layer":3},{"info":"⊖∈≮⫘↔10011010010=≮⫘↔100101010001110","layer":2},{"info":"⪛⨧≮⫘↔110011100111=≮⫘↔1111101000111","layer":3},{"info":"≮⫘↔1111101000111⫏⊷=≮⫘↔-1100110100","layer":2},{"info":"≮⫘↔100101010001110⪢≮⫘↔-1100110100=NaN","layer":1},{"info":"NaN⇚⪠=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"((≘($6113$⨑⩅≇$2201$))⫥∨⫟($5167$⪡$1207$)≄⊠$1474$≄⊠$9247$)≭((∷≠(⫡⇟⇯$1887$))⪒(∂⩏⊆$4727$)⊮⊟↴($1940$⊨$1172$))","expression":"((≘(≮⫘↔1011111100001⨑⩅≇≮⫘↔100010011001))⫥∨⫟(≮⫘↔1010000101111⪡≮⫘↔10010110111)≄⊠≮⫘↔10111000010≄⊠≮⫘↔10010000011111)≭((∷≠(⫡⇟⇯≮⫘↔11101011111))⪒(∂⩏⊆≮⫘↔1001001110111)⊮⊟↴(≮⫘↔11110010100⊨≮⫘↔10010010100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2810,"operation_count":13,"complexity_ratio":216.15384615384616,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":6113,"base":2},"right_expr":{"type":"numeric_atoms","value":2201,"base":2}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5167,"base":2},"right_expr":{"type":"numeric_atoms","value":1207,"base":2}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1474,"base":2},"right_expr":{"type":"numeric_atoms","value":9247,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1887,"base":2}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4727,"base":2}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1940,"base":2},"right_expr":{"type":"numeric_atoms","value":1172,"base":2}}}}},"used_operators":["rxpJgHHUmx","KYD54nUTWz","tcjXMdvYtA","h92wMvzauj","vXNesLlMH1","oraRL2iQuh","f6k1SAg4EE","QiR2Oyf5Xj","qWUSsah53b","QDVgd2eftb","8WDwsbhb0R","vg4gO5BX6G"],"dependent_operators":["AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","DZ8iAZOCBD","P8v4zCKN1o","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","14qkJME0vr","eLAdDNolq6","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6113","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=6113, right_input=2201, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-18339","layer":3},{"info":"compute unary expreesion, input=-18339, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10783070","layer":2},{"info":"number node, value=5167","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=5167, right_input=1207, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=9247","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=9247, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=152620","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=152620, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=2446588","layer":2},{"info":"compute binary expreesion, left_input=10783070, right_input=2446588, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1887","layer":4},{"info":"compute unary expreesion, input=1887, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4642","layer":3},{"info":"compute unary expreesion, input=4642, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4642","layer":2},{"info":"number node, value=4727","layer":4},{"info":"compute unary expreesion, input=4727, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-14260","layer":3},{"info":"number node, value=1940","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=1172, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8791","layer":3},{"info":"compute binary expreesion, left_input=-14260, right_input=8791, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4642, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4642","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4642, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≘(≮⫘↔1011111100001⨑⩅≇≮⫘↔100010011001))⫥∨⫟(≮⫘↔1010000101111⪡≮⫘↔10010110111)≄⊠≮⫘↔10111000010≄⊠≮⫘↔10010000011111)≭((∷≠(⫡⇟⇯≮⫘↔11101011111))⪒(∂⩏⊆≮⫘↔1001001110111)⊮⊟↴(≮⫘↔11110010100⊨≮⫘↔10010010100))=NaN","reverse_text":"NaN=((≘(≮⫘↔1011111100001⨑⩅≇≮⫘↔100010011001))⫥∨⫟(≮⫘↔1010000101111⪡≮⫘↔10010110111)≄⊠≮⫘↔10111000010≄⊠≮⫘↔10010000011111)≭((∷≠(⫡⇟⇯≮⫘↔11101011111))⪒(∂⩏⊆≮⫘↔1001001110111)⊮⊟↴(≮⫘↔11110010100⊨≮⫘↔10010010100))","cot":[{"info":"≮⫘↔1011111100001⨑⩅≇≮⫘↔100010011001=≮⫘↔-100011110100011","layer":3},{"info":"≘≮⫘↔-100011110100011=≮⫘↔101001001000100101011110","layer":2},{"info":"≮⫘↔1010000101111⪡≮⫘↔10010110111=≮⫘↔1101011","layer":3},{"info":"≮⫘↔10111000010≄⊠≮⫘↔10010000011111=≮⫘↔100101010000101100","layer":3},{"info":"≮⫘↔1101011≄⊠≮⫘↔100101010000101100=≮⫘↔1001010101010011111100","layer":2},{"info":"≮⫘↔101001001000100101011110⫥∨⫟≮⫘↔1001010101010011111100=NaN","layer":1},{"info":"⫡⇟⇯≮⫘↔11101011111=≮⫘↔1001000100010","layer":3},{"info":"∷≠≮⫘↔1001000100010=≮⫘↔1001000100010","layer":2},{"info":"∂⩏⊆≮⫘↔1001001110111=≮⫘↔-11011110110100","layer":3},{"info":"≮⫘↔11110010100⊨≮⫘↔10010010100=≮⫘↔10001001010111","layer":3},{"info":"≮⫘↔-11011110110100⊮⊟↴≮⫘↔10001001010111=≮⫘↔0","layer":2},{"info":"≮⫘↔1001000100010⪒≮⫘↔0=≮⫘↔-1001000100010","layer":1},{"info":"NaN≭≮⫘↔-1001000100010=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"(⊙↵-$1490$⨟⋌⩍$2569$)⪕($2964$⩘$1484$⨹)⫌⩉⩟$2463$≎⪠$3188$⋭≵$1727$⨚⇆$1779$⊍⩺⋍(↑($2389$⊝))","expression":"(⊙↵-≮⫘↔10111010010⨟⋌⩍≮⫘↔101000001001)⪕(≮⫘↔101110010100⩘≮⫘↔10111001100⨹)⫌⩉⩟≮⫘↔100110011111≎⪠≮⫘↔110001110100⋭≵≮⫘↔11010111111⨚⇆≮⫘↔11011110011⊍⩺⋍(↑(≮⫘↔100101010101⊝))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35380,"operation_count":12,"complexity_ratio":2948.3333333333335,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1490,"base":2},"right_expr":{"type":"numeric_atoms","value":2569,"base":2}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2964,"base":2},"right_expr":{"type":"numeric_atoms","value":1484,"base":2}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2463,"base":2},"right_expr":{"type":"numeric_atoms","value":3188,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1727,"base":2},"right_expr":{"type":"numeric_atoms","value":1779,"base":2}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":2389,"base":2}}}}},"used_operators":["XIIwhv8d0m","umQnsF7QlU","oWn0xqSxBt","rGHVDoGpnC","UnCoSGIALn","cHh1gJQ2o6","OXDGMFPWZM","jBncVCNhdl","aNhz54LH3e","lwHaAYXP2r","tR7O2zTn5j","O6EZ0fifGK"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","mp7IySMOzn","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC"],"result":"≮⫘↔-110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1490","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=2569, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=2964","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=1484, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=320, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":1},{"info":"number node, value=2463","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=3188, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1727","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1779, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2389","layer":4},{"info":"compute unary expreesion, input=2389, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2389","layer":3},{"info":"compute unary expreesion, input=2389, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=192, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-≮⫘↔10111010010⨟⋌⩍≮⫘↔101000001001)⪕(≮⫘↔101110010100⩘≮⫘↔10111001100⨹)⫌⩉⩟≮⫘↔100110011111≎⪠≮⫘↔110001110100⋭≵≮⫘↔11010111111⨚⇆≮⫘↔11011110011⊍⩺⋍(↑(≮⫘↔100101010101⊝))=≮⫘↔-110010","reverse_text":"≮⫘↔-110010=(⊙↵-≮⫘↔10111010010⨟⋌⩍≮⫘↔101000001001)⪕(≮⫘↔101110010100⩘≮⫘↔10111001100⨹)⫌⩉⩟≮⫘↔100110011111≎⪠≮⫘↔110001110100⋭≵≮⫘↔11010111111⨚⇆≮⫘↔11011110011⊍⩺⋍(↑(≮⫘↔100101010101⊝))","cot":[{"info":"≮⫘↔10111010010⨟⋌⩍≮⫘↔101000001001=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"≮⫘↔101110010100⩘≮⫘↔10111001100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000⨹=≮⫘↔101000000","layer":2},{"info":"NaN⪕≮⫘↔101000000=NaN","layer":1},{"info":"≮⫘↔100110011111≎⪠≮⫘↔110001110100=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔11010111111⨚⇆≮⫘↔11011110011=NaN","layer":3},{"info":"≮⫘↔100110001100110⋭≵NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔100101010101⊝=≮⫘↔100101010101","layer":3},{"info":"↑≮⫘↔100101010101=≮⫘↔11000000","layer":2},{"info":"≮⫘↔1000011⊍⩺⋍≮⫘↔11000000=NaN","layer":1},{"info":"NaN⫌⩉⩟NaN=≮⫘↔-110010","layer":0}]}
{"id":889,"expression_no_base_symbol":"(($2499$⊢)⪚$6778$≴⪞⇿$5242$↼⊘⨖($4442$⩚⊴⇥$5628$)⇂≾⫗($1022$∛$1925$))≌((($5379$⪨≂$5347$)⫲≸⪮(↡$3469$))⨼⩣($1874$⋛$4400$∼($3283$⨵⪆$1932$)))","expression":"((≮⫘↔100111000011⊢)⪚≮⫘↔1101001111010≴⪞⇿≮⫘↔1010001111010↼⊘⨖(≮⫘↔1000101011010⩚⊴⇥≮⫘↔1010111111100)⇂≾⫗(≮⫘↔1111111110∛≮⫘↔11110000101))≌(((≮⫘↔1010100000011⪨≂≮⫘↔1010011100011)⫲≸⪮(↡≮⫘↔110110001101))⨼⩣(≮⫘↔11101010010⋛≮⫘↔1000100110000∼(≮⫘↔110011010011⨵⪆≮⫘↔11110001100)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10553,"operation_count":15,"complexity_ratio":703.5333333333333,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2499,"base":2}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6778,"base":2},"right_expr":{"type":"numeric_atoms","value":5242,"base":2}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4442,"base":2},"right_expr":{"type":"numeric_atoms","value":5628,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1022,"base":2},"right_expr":{"type":"numeric_atoms","value":1925,"base":2}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5379,"base":2},"right_expr":{"type":"numeric_atoms","value":5347,"base":2}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3469,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1874,"base":2},"right_expr":{"type":"numeric_atoms","value":4400,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3283,"base":2},"right_expr":{"type":"numeric_atoms","value":1932,"base":2}}}}},"used_operators":["lyWz822IDG","bPywburJMS","HrjLwUk87U","40aOVDgCDB","lvlrscuwVU","aBQ6xLxuTc","NTOWxs364D","w2537kitQq","JxwMv5le6e","P3lXMJvFrc","sdazOOVcIp","MXaNJeIAZ3","DyGG3AbaNP","YbUVn0Rbpy","2DQ55sFlQl"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","NTOWxs364D","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2499","layer":4},{"info":"compute unary expreesion, input=2499, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2746","layer":3},{"info":"number node, value=6778","layer":4},{"info":"number node, value=5242","layer":4},{"info":"compute binary expreesion, left_input=6778, right_input=5242, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=84630284","layer":3},{"info":"compute binary expreesion, left_input=-2746, right_input=84630284, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=4616","layer":2},{"info":"number node, value=4442","layer":4},{"info":"number node, value=5628","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=5628, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10191","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1925, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-10191, right_input=-670, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=4616, right_input=-670, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-1562","layer":1},{"info":"number node, value=5379","layer":4},{"info":"number node, value=5347","layer":4},{"info":"compute binary expreesion, left_input=5379, right_input=5347, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=166","layer":3},{"info":"number node, value=3469","layer":4},{"info":"compute unary expreesion, input=3469, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=31221","layer":3},{"info":"compute binary expreesion, left_input=166, right_input=31221, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=166","layer":2},{"info":"number node, value=1874","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=4400, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-115326","layer":3},{"info":"number node, value=3283","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=1932, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-115326, right_input=160, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=166, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1562, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100111000011⊢)⪚≮⫘↔1101001111010≴⪞⇿≮⫘↔1010001111010↼⊘⨖(≮⫘↔1000101011010⩚⊴⇥≮⫘↔1010111111100)⇂≾⫗(≮⫘↔1111111110∛≮⫘↔11110000101))≌(((≮⫘↔1010100000011⪨≂≮⫘↔1010011100011)⫲≸⪮(↡≮⫘↔110110001101))⨼⩣(≮⫘↔11101010010⋛≮⫘↔1000100110000∼(≮⫘↔110011010011⨵⪆≮⫘↔11110001100)))=NaN","reverse_text":"NaN=((≮⫘↔100111000011⊢)⪚≮⫘↔1101001111010≴⪞⇿≮⫘↔1010001111010↼⊘⨖(≮⫘↔1000101011010⩚⊴⇥≮⫘↔1010111111100)⇂≾⫗(≮⫘↔1111111110∛≮⫘↔11110000101))≌(((≮⫘↔1010100000011⪨≂≮⫘↔1010011100011)⫲≸⪮(↡≮⫘↔110110001101))⨼⩣(≮⫘↔11101010010⋛≮⫘↔1000100110000∼(≮⫘↔110011010011⨵⪆≮⫘↔11110001100)))","cot":[{"info":"≮⫘↔100111000011⊢=≮⫘↔-101010111010","layer":3},{"info":"≮⫘↔1101001111010≴⪞⇿≮⫘↔1010001111010=≮⫘↔101000010110101101100001100","layer":3},{"info":"≮⫘↔-101010111010⪚≮⫘↔101000010110101101100001100=≮⫘↔1001000001000","layer":2},{"info":"≮⫘↔1000101011010⩚⊴⇥≮⫘↔1010111111100=≮⫘↔-10011111001111","layer":3},{"info":"≮⫘↔1111111110∛≮⫘↔11110000101=≮⫘↔-1010011110","layer":3},{"info":"≮⫘↔-10011111001111⇂≾⫗≮⫘↔-1010011110=≮⫘↔-1010011110","layer":2},{"info":"≮⫘↔1001000001000↼⊘⨖≮⫘↔-1010011110=≮⫘↔-11000011010","layer":1},{"info":"≮⫘↔1010100000011⪨≂≮⫘↔1010011100011=≮⫘↔10100110","layer":3},{"info":"↡≮⫘↔110110001101=≮⫘↔111100111110101","layer":3},{"info":"≮⫘↔10100110⫲≸⪮≮⫘↔111100111110101=≮⫘↔10100110","layer":2},{"info":"≮⫘↔11101010010⋛≮⫘↔1000100110000=≮⫘↔-11100001001111110","layer":3},{"info":"≮⫘↔110011010011⨵⪆≮⫘↔11110001100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-11100001001111110∼≮⫘↔10100000=≮⫘↔0","layer":2},{"info":"≮⫘↔10100110⨼⩣≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔-11000011010≌NaN=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"⩩(($1718$≋⫹)∼($2680$⩨$3877$)*$7835$⨐$1412$⨐⩸⫘(∤↝$1006$))","expression":"⩩((≮⫘↔11010110110≋⫹)∼(≮⫘↔101001111000⩨≮⫘↔111100100101)*≮⫘↔1111010011011⨐≮⫘↔10110000100⨐⩸⫘(∤↝≮⫘↔1111101110))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1050,"operation_count":8,"complexity_ratio":131.25,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1718,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2680,"base":2},"right_expr":{"type":"numeric_atoms","value":3877,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":7835,"base":2},"right_expr":{"type":"numeric_atoms","value":1412,"base":2}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1006,"base":2}}}}},"used_operators":["kMhfGuqI2H","9HNa5Wba9A","DyGG3AbaNP","N41Kp7NANJ","2DlMacCsIx","fu6greOZ01","Noe24qw2ks","3UMq87Qwqg"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1718","layer":4},{"info":"compute unary expreesion, input=1718, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3436","layer":3},{"info":"number node, value=2680","layer":4},{"info":"number node, value=3877","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=3877, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-3436, right_input=-3, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=7835","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=7835, right_input=1412, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-15670","layer":3},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1006","layer":3},{"info":"compute binary expreesion, left_input=-15670, right_input=1006, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩩((≮⫘↔11010110110≋⫹)∼(≮⫘↔101001111000⩨≮⫘↔111100100101)*≮⫘↔1111010011011⨐≮⫘↔10110000100⨐⩸⫘(∤↝≮⫘↔1111101110))=NaN","reverse_text":"NaN=⩩((≮⫘↔11010110110≋⫹)∼(≮⫘↔101001111000⩨≮⫘↔111100100101)*≮⫘↔1111010011011⨐≮⫘↔10110000100⨐⩸⫘(∤↝≮⫘↔1111101110))","cot":[{"info":"≮⫘↔11010110110≋⫹=≮⫘↔-110101101100","layer":3},{"info":"≮⫘↔101001111000⩨≮⫘↔111100100101=≮⫘↔-11","layer":3},{"info":"≮⫘↔-110101101100∼≮⫘↔-11=≮⫘↔0","layer":2},{"info":"≮⫘↔1111010011011⨐≮⫘↔10110000100=≮⫘↔-11110100110110","layer":3},{"info":"∤↝≮⫘↔1111101110=≮⫘↔1111101110","layer":3},{"info":"≮⫘↔-11110100110110⨐⩸⫘≮⫘↔1111101110=NaN","layer":2},{"info":"≮⫘↔0*NaN=NaN","layer":1},{"info":"⩩NaN=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"($8186$⨚$1997$≓∲($7622$∵≐)⪬∳)⨐((⪁⇼($2262$≚⊃≕$1028$))⋣⋖$3752$⪃⊛⇣$2120$∓⋝($7270$⊉↱≁$1608$))","expression":"(≮⫘↔1111111111010⨚≮⫘↔11111001101≓∲(≮⫘↔1110111000110∵≐)⪬∳)⨐((⪁⇼(≮⫘↔100011010110≚⊃≕≮⫘↔10000000100))⋣⋖≮⫘↔111010101000⪃⊛⇣≮⫘↔100001001000∓⋝(≮⫘↔1110001100110⊉↱≁≮⫘↔11001001000))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":282774,"operation_count":11,"complexity_ratio":25706.727272727272,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":8186,"base":2},"right_expr":{"type":"numeric_atoms","value":1997,"base":2}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":7622,"base":2}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2262,"base":2},"right_expr":{"type":"numeric_atoms","value":1028,"base":2}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3752,"base":2},"right_expr":{"type":"numeric_atoms","value":2120,"base":2}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":7270,"base":2},"right_expr":{"type":"numeric_atoms","value":1608,"base":2}}}}},"used_operators":["Noe24qw2ks","O9U3z1385E","s1XTVnmDOJ","nREPSIbpBE","59igzFyhWz","J0M6qkBnIM","ZNVVrZ94lY","Bmrmz2XGnR","PoHhknlbAi","rrgAzCduG9","w2P8NbNXyL"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"≮⫘↔10110001010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8186","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=8186, right_input=1997, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=9318","layer":3},{"info":"number node, value=7622","layer":4},{"info":"compute unary expreesion, input=7622, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=6676","layer":3},{"info":"compute binary expreesion, left_input=9318, right_input=6676, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=93963","layer":2},{"info":"compute unary expreesion, input=93963, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":1},{"info":"number node, value=2262","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=1028, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=3752","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=3752, right_input=2120, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=7270","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=7270, right_input=1608, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=63000","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=63000, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=67, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=422","layer":1},{"info":"compute binary expreesion, left_input=-709, right_input=422, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=1418","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111111111010⨚≮⫘↔11111001101≓∲(≮⫘↔1110111000110∵≐)⪬∳)⨐((⪁⇼(≮⫘↔100011010110≚⊃≕≮⫘↔10000000100))⋣⋖≮⫘↔111010101000⪃⊛⇣≮⫘↔100001001000∓⋝(≮⫘↔1110001100110⊉↱≁≮⫘↔11001001000))=≮⫘↔10110001010","reverse_text":"≮⫘↔10110001010=(≮⫘↔1111111111010⨚≮⫘↔11111001101≓∲(≮⫘↔1110111000110∵≐)⪬∳)⨐((⪁⇼(≮⫘↔100011010110≚⊃≕≮⫘↔10000000100))⋣⋖≮⫘↔111010101000⪃⊛⇣≮⫘↔100001001000∓⋝(≮⫘↔1110001100110⊉↱≁≮⫘↔11001001000))","cot":[{"info":"≮⫘↔1111111111010⨚≮⫘↔11111001101=≮⫘↔10010001100110","layer":3},{"info":"≮⫘↔1110111000110∵≐=≮⫘↔1101000010100","layer":3},{"info":"≮⫘↔10010001100110≓∲≮⫘↔1101000010100=≮⫘↔10110111100001011","layer":2},{"info":"≮⫘↔10110111100001011⪬∳=≮⫘↔-1011000101","layer":1},{"info":"≮⫘↔100011010110≚⊃≕≮⫘↔10000000100=≮⫘↔1000011","layer":3},{"info":"⪁⇼≮⫘↔1000011=≮⫘↔110100110","layer":2},{"info":"≮⫘↔111010101000⪃⊛⇣≮⫘↔100001001000=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔1110001100110⊉↱≁≮⫘↔11001001000=≮⫘↔1111011000011000","layer":3},{"info":"≮⫘↔10011010010∓⋝≮⫘↔1111011000011000=≮⫘↔1000011","layer":2},{"info":"≮⫘↔110100110⋣⋖≮⫘↔1000011=≮⫘↔110100110","layer":1},{"info":"≮⫘↔-1011000101⨐≮⫘↔110100110=≮⫘↔10110001010","layer":0}]}
{"id":892,"expression_no_base_symbol":"((⊙↵-($5572$∩⋅))⇄($2304$↳≱$3166$⫚↹⊑($4080$↑)))⇂≾⫗(($4561$∷$4392$)⋝⋈⪟($6025$⫸⊐$1384$)⫳≱↱(⩦⩻⨪$5620$⨥⫆$3272$))","expression":"((⊙↵-(≮⫘↔1010111000100∩⋅))⇄(≮⫘↔100100000000↳≱≮⫘↔110001011110⫚↹⊑(≮⫘↔111111110000↑)))⇂≾⫗((≮⫘↔1000111010001∷≮⫘↔1000100101000)⋝⋈⪟(≮⫘↔1011110001001⫸⊐≮⫘↔10101101000)⫳≱↱(⩦⩻⨪≮⫘↔1010111110100⨥⫆≮⫘↔110011001000))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6027,"operation_count":13,"complexity_ratio":463.61538461538464,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":5572,"base":2}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2304,"base":2},"right_expr":{"type":"numeric_atoms","value":3166,"base":2}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4080,"base":2}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4561,"base":2},"right_expr":{"type":"numeric_atoms","value":4392,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6025,"base":2},"right_expr":{"type":"numeric_atoms","value":1384,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5620,"base":2},"right_expr":{"type":"numeric_atoms","value":3272,"base":2}}}}},"used_operators":["aBQ6xLxuTc","3EYGwJThht","oWn0xqSxBt","2MzE1hQ0cz","dfKe02y8D2","JwTKLfZU96","BThhyOhh10","ZvLB05nZmT","2DDjHMKMc0","D3AQDKkPcf","mqXw5SEYmG","2td37pGCOC","yXekIHxTD4"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≮⫘↔-1010100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5572","layer":4},{"info":"compute unary expreesion, input=5572, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-5451","layer":3},{"info":"compute unary expreesion, input=-5451, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=2304","layer":4},{"info":"number node, value=3166","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=3166, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=4080","layer":4},{"info":"compute unary expreesion, input=4080, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=222, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=-447, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=931","layer":1},{"info":"number node, value=4561","layer":4},{"info":"number node, value=4392","layer":4},{"info":"compute binary expreesion, left_input=4561, right_input=4392, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4392","layer":3},{"info":"number node, value=6025","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=6025, right_input=1384, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5411","layer":3},{"info":"compute binary expreesion, left_input=4392, right_input=5411, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4392","layer":2},{"info":"number node, value=5620","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=5620, right_input=3272, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6420","layer":3},{"info":"compute unary expreesion, input=6420, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6420","layer":2},{"info":"compute binary expreesion, left_input=4392, right_input=6420, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=931, right_input=-204, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":2,"result_base":2,"text":"((⊙↵-(≮⫘↔1010111000100∩⋅))⇄(≮⫘↔100100000000↳≱≮⫘↔110001011110⫚↹⊑(≮⫘↔111111110000↑)))⇂≾⫗((≮⫘↔1000111010001∷≮⫘↔1000100101000)⋝⋈⪟(≮⫘↔1011110001001⫸⊐≮⫘↔10101101000)⫳≱↱(⩦⩻⨪≮⫘↔1010111110100⨥⫆≮⫘↔110011001000))=≮⫘↔-1010100100","reverse_text":"≮⫘↔-1010100100=((⊙↵-(≮⫘↔1010111000100∩⋅))⇄(≮⫘↔100100000000↳≱≮⫘↔110001011110⫚↹⊑(≮⫘↔111111110000↑)))⇂≾⫗((≮⫘↔1000111010001∷≮⫘↔1000100101000)⋝⋈⪟(≮⫘↔1011110001001⫸⊐≮⫘↔10101101000)⫳≱↱(⩦⩻⨪≮⫘↔1010111110100⨥⫆≮⫘↔110011001000))","cot":[{"info":"≮⫘↔1010111000100∩⋅=≮⫘↔-1010101001011","layer":3},{"info":"⊙↵-≮⫘↔-1010101001011=≮⫘↔11000100","layer":2},{"info":"≮⫘↔100100000000↳≱≮⫘↔110001011110=≮⫘↔0","layer":3},{"info":"≮⫘↔111111110000↑=≮⫘↔11011110","layer":3},{"info":"≮⫘↔0⫚↹⊑≮⫘↔11011110=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔11000100⇄≮⫘↔-110111111=≮⫘↔1110100011","layer":1},{"info":"≮⫘↔1000111010001∷≮⫘↔1000100101000=≮⫘↔1000100101000","layer":3},{"info":"≮⫘↔1011110001001⫸⊐≮⫘↔10101101000=≮⫘↔1010100100011","layer":3},{"info":"≮⫘↔1000100101000⋝⋈⪟≮⫘↔1010100100011=≮⫘↔1000100101000","layer":2},{"info":"≮⫘↔1010111110100⨥⫆≮⫘↔110011001000=≮⫘↔1100100010100","layer":3},{"info":"⩦⩻⨪≮⫘↔1100100010100=≮⫘↔1100100010100","layer":2},{"info":"≮⫘↔1000100101000⫳≱↱≮⫘↔1100100010100=≮⫘↔-11001100","layer":1},{"info":"≮⫘↔1110100011⇂≾⫗≮⫘↔-11001100=≮⫘↔-1010100100","layer":0}]}
{"id":893,"expression_no_base_symbol":"∓⪦(($1303$⫃⨇$1052$)∛($2350$⫰⋱$3831$))⫯⪬∳((⪹$2179$)⊉↱≁($6634$∧))","expression":"∓⪦((≮⫘↔10100010111⫃⨇≮⫘↔10000011100)∛(≮⫘↔100100101110⫰⋱≮⫘↔111011110111))⫯⪬∳((⪹≮⫘↔100010000011)⊉↱≁(≮⫘↔1100111101010∧))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":139,"operation_count":8,"complexity_ratio":17.375,"tree":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1303,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2350,"base":2},"right_expr":{"type":"numeric_atoms","value":3831,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2179,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6634,"base":2}}}}},"used_operators":["D309nIvmXG","d7ASUq0ydm","w2537kitQq","09Ly4LVMIf","6o9Blt3TJ6","w2P8NbNXyL","USyYr0JgAa","z63VuFQld9"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","tifHPKVTfV","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"≮⫘↔-10100100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=1052, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4240","layer":3},{"info":"number node, value=2350","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=3831, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2317","layer":3},{"info":"compute binary expreesion, left_input=-4240, right_input=-2317, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2179","layer":4},{"info":"compute unary expreesion, input=2179, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1999","layer":3},{"info":"number node, value=6634","layer":4},{"info":"compute unary expreesion, input=6634, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1999, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=268","layer":1},{"info":"compute unary expreesion, input=268, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-1315","layer":0}],"base":2,"result_base":2,"text":"∓⪦((≮⫘↔10100010111⫃⨇≮⫘↔10000011100)∛(≮⫘↔100100101110⫰⋱≮⫘↔111011110111))⫯⪬∳((⪹≮⫘↔100010000011)⊉↱≁(≮⫘↔1100111101010∧))=≮⫘↔-10100100011","reverse_text":"≮⫘↔-10100100011=∓⪦((≮⫘↔10100010111⫃⨇≮⫘↔10000011100)∛(≮⫘↔100100101110⫰⋱≮⫘↔111011110111))⫯⪬∳((⪹≮⫘↔100010000011)⊉↱≁(≮⫘↔1100111101010∧))","cot":[{"info":"≮⫘↔10100010111⫃⨇≮⫘↔10000011100=≮⫘↔-1000010010000","layer":3},{"info":"≮⫘↔100100101110⫰⋱≮⫘↔111011110111=≮⫘↔-100100001101","layer":3},{"info":"≮⫘↔-1000010010000∛≮⫘↔-100100001101=≮⫘↔1000011","layer":2},{"info":"⪹≮⫘↔100010000011=≮⫘↔-11111001111","layer":3},{"info":"≮⫘↔1100111101010∧=NaN","layer":3},{"info":"≮⫘↔-11111001111⊉↱≁NaN=NaN","layer":2},{"info":"≮⫘↔1000011⫯⪬∳NaN=≮⫘↔100001100","layer":1},{"info":"∓⪦≮⫘↔100001100=≮⫘↔-10100100011","layer":0}]}
{"id":894,"expression_no_base_symbol":"(⊑($3167$↙$1235$⫚↹⊑($6659$+$2261$)))⊉↱≁((($3200$⇔⨋)∖(⪛⨧$9231$))⩁⩘(($4656$⊠≄⫣)⇴$1727$⩦$1500$))","expression":"(⊑(≮⫘↔110001011111↙≮⫘↔10011010011⫚↹⊑(≮⫘↔1101000000011+≮⫘↔100011010101)))⊉↱≁(((≮⫘↔110010000000⇔⨋)∖(⪛⨧≮⫘↔10010000001111))⩁⩘((≮⫘↔1001000110000⊠≄⫣)⇴≮⫘↔11010111111⩦≮⫘↔10111011100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3518,"operation_count":12,"complexity_ratio":293.1666666666667,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3167,"base":2},"right_expr":{"type":"numeric_atoms","value":1235,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6659,"base":2},"right_expr":{"type":"numeric_atoms","value":2261,"base":2}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":3200,"base":2}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":9231,"base":2}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4656,"base":2}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1727,"base":2},"right_expr":{"type":"numeric_atoms","value":1500,"base":2}}}}},"used_operators":["w2P8NbNXyL","IkUmn0D7oy","dfKe02y8D2","yyfyN0ffXY","W4YGzv6Whe","gub5Cegaqo","tXD093vOjl","uBihLCJcMX","6NJAcO2OWT","4JB6nKBMSY","DIvbN7qnHd","0kmYd0q39Y"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","tmPS8pqC7x","DpFCA1CohY","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3167","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=1235, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3705","layer":3},{"info":"number node, value=6659","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=6659, right_input=2261, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8920","layer":3},{"info":"compute binary expreesion, left_input=-3705, right_input=8920, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=3200","layer":4},{"info":"compute unary expreesion, input=3200, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=18130","layer":3},{"info":"number node, value=9231","layer":4},{"info":"compute unary expreesion, input=9231, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=19863","layer":3},{"info":"compute binary expreesion, left_input=18130, right_input=19863, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=4656","layer":4},{"info":"compute unary expreesion, input=4656, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1727","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1500, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3454","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3454, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=6522","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6522, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊑(≮⫘↔110001011111↙≮⫘↔10011010011⫚↹⊑(≮⫘↔1101000000011+≮⫘↔100011010101)))⊉↱≁(((≮⫘↔110010000000⇔⨋)∖(⪛⨧≮⫘↔10010000001111))⩁⩘((≮⫘↔1001000110000⊠≄⫣)⇴≮⫘↔11010111111⩦≮⫘↔10111011100))=NaN","reverse_text":"NaN=(⊑(≮⫘↔110001011111↙≮⫘↔10011010011⫚↹⊑(≮⫘↔1101000000011+≮⫘↔100011010101)))⊉↱≁(((≮⫘↔110010000000⇔⨋)∖(⪛⨧≮⫘↔10010000001111))⩁⩘((≮⫘↔1001000110000⊠≄⫣)⇴≮⫘↔11010111111⩦≮⫘↔10111011100))","cot":[{"info":"≮⫘↔110001011111↙≮⫘↔10011010011=≮⫘↔-111001111001","layer":3},{"info":"≮⫘↔1101000000011+≮⫘↔100011010101=≮⫘↔10001011011000","layer":3},{"info":"≮⫘↔-111001111001⫚↹⊑≮⫘↔10001011011000=≮⫘↔-110111111","layer":2},{"info":"⊑≮⫘↔-110111111=≮⫘↔11000000","layer":1},{"info":"≮⫘↔110010000000⇔⨋=≮⫘↔100011011010010","layer":3},{"info":"⪛⨧≮⫘↔10010000001111=≮⫘↔100110110010111","layer":3},{"info":"≮⫘↔100011011010010∖≮⫘↔100110110010111=≮⫘↔0","layer":2},{"info":"≮⫘↔1001000110000⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔11010111111⩦≮⫘↔10111011100=≮⫘↔110101111110","layer":3},{"info":"≮⫘↔0⇴≮⫘↔110101111110=≮⫘↔1100101111010","layer":2},{"info":"≮⫘↔0⩁⩘≮⫘↔1100101111010=NaN","layer":1},{"info":"≮⫘↔11000000⊉↱≁NaN=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"((($1054$⫌⩉⩟$3359$)⊉≛↸$4066$⨳⩥⨓$1068$)⨳⩥⨓(⨙⪌($7261$∀⇚≩$2026$)))⋣⋖(⊖∈(∂$1664$)⇻⋧≁($1144$⪚⩙≫))","expression":"(((≮⫘↔10000011110⫌⩉⩟≮⫘↔110100011111)⊉≛↸≮⫘↔111111100010⨳⩥⨓≮⫘↔10000101100)⨳⩥⨓(⨙⪌(≮⫘↔1110001011101∀⇚≩≮⫘↔11111101010)))⋣⋖(⊖∈(∂≮⫘↔11010000000)⇻⋧≁(≮⫘↔10001111000⪚⩙≫))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":67640,"operation_count":11,"complexity_ratio":6149.090909090909,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1054,"base":2},"right_expr":{"type":"numeric_atoms","value":3359,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4066,"base":2},"right_expr":{"type":"numeric_atoms","value":1068,"base":2}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7261,"base":2},"right_expr":{"type":"numeric_atoms","value":2026,"base":2}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1664,"base":2}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":1144,"base":2}}}}},"used_operators":["J0M6qkBnIM","nCS4ZIUYfx","DZ8iAZOCBD","XIIwhv8d0m","vEGLkm4Z2k","LRNGc0VcxI","YFxL8Sc2Zy","jCPkEVoL5K","Uaa54Peajs","4n53wtyJvv"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","X99M06cbEe","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=3359, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=4066","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=4066, right_input=1068, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2998","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-2998, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-100","layer":2},{"info":"number node, value=7261","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=7261, right_input=2026, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-100, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1664","layer":4},{"info":"compute unary expreesion, input=1664, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10000011110⫌⩉⩟≮⫘↔110100011111)⊉≛↸≮⫘↔111111100010⨳⩥⨓≮⫘↔10000101100)⨳⩥⨓(⨙⪌(≮⫘↔1110001011101∀⇚≩≮⫘↔11111101010)))⋣⋖(⊖∈(∂≮⫘↔11010000000)⇻⋧≁(≮⫘↔10001111000⪚⩙≫))=NaN","reverse_text":"NaN=(((≮⫘↔10000011110⫌⩉⩟≮⫘↔110100011111)⊉≛↸≮⫘↔111111100010⨳⩥⨓≮⫘↔10000101100)⨳⩥⨓(⨙⪌(≮⫘↔1110001011101∀⇚≩≮⫘↔11111101010)))⋣⋖(⊖∈(∂≮⫘↔11010000000)⇻⋧≁(≮⫘↔10001111000⪚⩙≫))","cot":[{"info":"≮⫘↔10000011110⫌⩉⩟≮⫘↔110100011111=≮⫘↔-110010","layer":3},{"info":"≮⫘↔111111100010⨳⩥⨓≮⫘↔10000101100=≮⫘↔-101110110110","layer":3},{"info":"≮⫘↔-110010⊉≛↸≮⫘↔-101110110110=≮⫘↔-1100100","layer":2},{"info":"≮⫘↔1110001011101∀⇚≩≮⫘↔11111101010=NaN","layer":3},{"info":"⨙⪌NaN=NaN","layer":2},{"info":"≮⫘↔-1100100⨳⩥⨓NaN=NaN","layer":1},{"info":"∂≮⫘↔11010000000=NaN","layer":3},{"info":"≮⫘↔10001111000⪚⩙≫=NaN","layer":3},{"info":"NaN⇻⋧≁NaN=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"NaN⋣⋖NaN=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"(⋃($3266$∳⫺$1073$)⨸($1088$∺≝⩲$2256$))⩚⊴⇥((⊊≼∋($3729$∀⇚≩$1042$))⋳⪒$1365$≎⪠$3883$⋣⋖($2595$⪥⨬⪅))","expression":"(⋃(≮⫘↔110011000010∳⫺≮⫘↔10000110001)⨸(≮⫘↔10001000000∺≝⩲≮⫘↔100011010000))⩚⊴⇥((⊊≼∋(≮⫘↔111010010001∀⇚≩≮⫘↔10000010010))⋳⪒≮⫘↔10101010101≎⪠≮⫘↔111100101011⋣⋖(≮⫘↔101000100011⪥⨬⪅))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45794,"operation_count":11,"complexity_ratio":4163.090909090909,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3266,"base":2},"right_expr":{"type":"numeric_atoms","value":1073,"base":2}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1088,"base":2},"right_expr":{"type":"numeric_atoms","value":2256,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3729,"base":2},"right_expr":{"type":"numeric_atoms","value":1042,"base":2}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1365,"base":2},"right_expr":{"type":"numeric_atoms","value":3883,"base":2}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":2595,"base":2}}}}},"used_operators":["NTOWxs364D","3mBM5G4a3l","KmoU8R5UQR","AzXXKTstlj","KPf6cnQVty","12rbrZMWeM","FWz7pXsQhA","LRNGc0VcxI","J0M6qkBnIM","aNhz54LH3e","zNRQejTB5A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","X99M06cbEe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3266","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=3266, right_input=1073, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=2256, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=160, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=564670","layer":2},{"info":"compute unary expreesion, input=564670, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=1129442","layer":1},{"info":"number node, value=3729","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=3729, right_input=1042, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"number node, value=1365","layer":4},{"info":"number node, value=3883","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=3883, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2595","layer":4},{"info":"compute unary expreesion, input=2595, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-473, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1129442, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋃(≮⫘↔110011000010∳⫺≮⫘↔10000110001)⨸(≮⫘↔10001000000∺≝⩲≮⫘↔100011010000))⩚⊴⇥((⊊≼∋(≮⫘↔111010010001∀⇚≩≮⫘↔10000010010))⋳⪒≮⫘↔10101010101≎⪠≮⫘↔111100101011⋣⋖(≮⫘↔101000100011⪥⨬⪅))=NaN","reverse_text":"NaN=(⋃(≮⫘↔110011000010∳⫺≮⫘↔10000110001)⨸(≮⫘↔10001000000∺≝⩲≮⫘↔100011010000))⩚⊴⇥((⊊≼∋(≮⫘↔111010010001∀⇚≩≮⫘↔10000010010))⋳⪒≮⫘↔10101010101≎⪠≮⫘↔111100101011⋣⋖(≮⫘↔101000100011⪥⨬⪅))","cot":[{"info":"≮⫘↔110011000010∳⫺≮⫘↔10000110001=≮⫘↔-100000100","layer":3},{"info":"≮⫘↔10001000000∺≝⩲≮⫘↔100011010000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-100000100⨸≮⫘↔10100000=≮⫘↔10001001110110111110","layer":2},{"info":"⋃≮⫘↔10001001110110111110=≮⫘↔100010011101111100010","layer":1},{"info":"≮⫘↔111010010001∀⇚≩≮⫘↔10000010010=NaN","layer":3},{"info":"⊊≼∋NaN=NaN","layer":2},{"info":"≮⫘↔10101010101≎⪠≮⫘↔111100101011=≮⫘↔100110001100110","layer":3},{"info":"≮⫘↔101000100011⪥⨬⪅=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔100110001100110⋣⋖≮⫘↔-111011001=≮⫘↔100110001100110","layer":2},{"info":"NaN⋳⪒≮⫘↔100110001100110=NaN","layer":1},{"info":"≮⫘↔100010011101111100010⩚⊴⇥NaN=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"($1595$∺≝⩲$1629$↺($1216$⫔⩽⩺$1000$)⫲)⊉≛↸($5334$⩘$1868$)⫉⨲⊜($5099$⪘⫢$3286$)+⪬∐(($2357$⨽⪊≇)⊋($1683$⫚⫇))","expression":"(≮⫘↔11000111011∺≝⩲≮⫘↔11001011101↺(≮⫘↔10011000000⫔⩽⩺≮⫘↔1111101000)⫲)⊉≛↸(≮⫘↔1010011010110⩘≮⫘↔11101001100)⫉⨲⊜(≮⫘↔1001111101011⪘⫢≮⫘↔110011010110)+⪬∐((≮⫘↔100100110101⨽⪊≇)⊋(≮⫘↔11010010011⫚⫇))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1015779,"operation_count":12,"complexity_ratio":84648.25,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1595,"base":2},"right_expr":{"type":"numeric_atoms","value":1629,"base":2}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1216,"base":2},"right_expr":{"type":"numeric_atoms","value":1000,"base":2}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5334,"base":2},"right_expr":{"type":"numeric_atoms","value":1868,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5099,"base":2},"right_expr":{"type":"numeric_atoms","value":3286,"base":2}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":2357,"base":2}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":1683,"base":2}}}}},"used_operators":["DZ8iAZOCBD","9xnGDUPbC6","7j4O788W3g","KPf6cnQVty","i9eR4S00cU","2GS7woTJqF","WhqkvtTD3t","cHh1gJQ2o6","oacrs7FA3X","W4tP9CfskL","nlCqmYiOvY","SdCjLnB6rR"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Tw270M8GLb","fu6greOZ01","g55IO6H4Gj","D4vGDi5EA2","eewbuw0ToL","zVYPLywUTj","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1629, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=1000, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=nan","layer":1},{"info":"number node, value=5334","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=5334, right_input=1868, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=5099","layer":4},{"info":"number node, value=3286","layer":4},{"info":"compute binary expreesion, left_input=5099, right_input=3286, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10074","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=10074, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=2357","layer":4},{"info":"compute unary expreesion, input=2357, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=4188","layer":3},{"info":"number node, value=1683","layer":4},{"info":"compute unary expreesion, input=1683, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=1898","layer":3},{"info":"compute binary expreesion, left_input=4188, right_input=1898, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=33863660","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=33863660, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11000111011∺≝⩲≮⫘↔11001011101↺(≮⫘↔10011000000⫔⩽⩺≮⫘↔1111101000)⫲)⊉≛↸(≮⫘↔1010011010110⩘≮⫘↔11101001100)⫉⨲⊜(≮⫘↔1001111101011⪘⫢≮⫘↔110011010110)+⪬∐((≮⫘↔100100110101⨽⪊≇)⊋(≮⫘↔11010010011⫚⫇))=NaN","reverse_text":"NaN=(≮⫘↔11000111011∺≝⩲≮⫘↔11001011101↺(≮⫘↔10011000000⫔⩽⩺≮⫘↔1111101000)⫲)⊉≛↸(≮⫘↔1010011010110⩘≮⫘↔11101001100)⫉⨲⊜(≮⫘↔1001111101011⪘⫢≮⫘↔110011010110)+⪬∐((≮⫘↔100100110101⨽⪊≇)⊋(≮⫘↔11010010011⫚⫇))","cot":[{"info":"≮⫘↔11000111011∺≝⩲≮⫘↔11001011101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10011000000⫔⩽⩺≮⫘↔1111101000=NaN","layer":3},{"info":"≮⫘↔10100000↺NaN=NaN","layer":2},{"info":"NaN⫲=NaN","layer":1},{"info":"≮⫘↔1010011010110⩘≮⫘↔11101001100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1001111101011⪘⫢≮⫘↔110011010110=≮⫘↔10011101011010","layer":3},{"info":"≮⫘↔10100000⫉⨲⊜≮⫘↔10011101011010=≮⫘↔0","layer":2},{"info":"≮⫘↔100100110101⨽⪊≇=≮⫘↔1000001011100","layer":3},{"info":"≮⫘↔11010010011⫚⫇=≮⫘↔11101101010","layer":3},{"info":"≮⫘↔1000001011100⊋≮⫘↔11101101010=≮⫘↔10000001001011011111101100","layer":2},{"info":"≮⫘↔0+⪬∐≮⫘↔10000001001011011111101100=≮⫘↔0","layer":1},{"info":"NaN⊉≛↸≮⫘↔0=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"(∂(⇐(⇘$5130$)))⩖⊿((($3755$⫳≱↱$5606$)⇮⋭$2985$≝⊿$3844$)⩵∡($2041$⩚⊴⇥$5770$⇮⋭$1909$⪭$3027$))","expression":"(∂(⇐(⇘≮⫘↔1010000001010)))⩖⊿(((≮⫘↔111010101011⫳≱↱≮⫘↔1010111100110)⇮⋭≮⫘↔101110101001≝⊿≮⫘↔111100000100)⩵∡(≮⫘↔11111111001⩚⊴⇥≮⫘↔1011010001010⇮⋭≮⫘↔11101110101⪭≮⫘↔101111010011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10828,"operation_count":11,"complexity_ratio":984.3636363636364,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":5130,"base":2}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3755,"base":2},"right_expr":{"type":"numeric_atoms","value":5606,"base":2}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2985,"base":2},"right_expr":{"type":"numeric_atoms","value":3844,"base":2}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2041,"base":2},"right_expr":{"type":"numeric_atoms","value":5770,"base":2}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1909,"base":2},"right_expr":{"type":"numeric_atoms","value":3027,"base":2}}}}},"used_operators":["RZ5CV9rWsJ","Uaa54Peajs","nmZMaaE0Q9","MGuIdZPyUC","Y7wcNGrDQJ","vkpjKywKVM","ZvLB05nZmT","OKKcZfAt5B","NTOWxs364D","j9kHMeSvPp"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","NTOWxs364D","glklzrTFfD","tifHPKVTfV","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5130","layer":4},{"info":"compute unary expreesion, input=5130, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=302182","layer":3},{"info":"compute unary expreesion, input=302182, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=593458","layer":2},{"info":"compute unary expreesion, input=593458, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=3755","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=3755, right_input=5606, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2985","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=3844, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11206","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-11206, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=2041","layer":4},{"info":"number node, value=5770","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=5770, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7932","layer":3},{"info":"number node, value=1909","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=3027, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-7932, right_input=5, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=3885","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=3885, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3630","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3630, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∂(⇐(⇘≮⫘↔1010000001010)))⩖⊿(((≮⫘↔111010101011⫳≱↱≮⫘↔1010111100110)⇮⋭≮⫘↔101110101001≝⊿≮⫘↔111100000100)⩵∡(≮⫘↔11111111001⩚⊴⇥≮⫘↔1011010001010⇮⋭≮⫘↔11101110101⪭≮⫘↔101111010011))=NaN","reverse_text":"NaN=(∂(⇐(⇘≮⫘↔1010000001010)))⩖⊿(((≮⫘↔111010101011⫳≱↱≮⫘↔1010111100110)⇮⋭≮⫘↔101110101001≝⊿≮⫘↔111100000100)⩵∡(≮⫘↔11111111001⩚⊴⇥≮⫘↔1011010001010⇮⋭≮⫘↔11101110101⪭≮⫘↔101111010011))","cot":[{"info":"⇘≮⫘↔1010000001010=≮⫘↔1001001110001100110","layer":3},{"info":"⇐≮⫘↔1001001110001100110=≮⫘↔10010000111000110010","layer":2},{"info":"∂≮⫘↔10010000111000110010=NaN","layer":1},{"info":"≮⫘↔111010101011⫳≱↱≮⫘↔1010111100110=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔101110101001≝⊿≮⫘↔111100000100=≮⫘↔-10101111000110","layer":3},{"info":"≮⫘↔-11001100⇮⋭≮⫘↔-10101111000110=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11111111001⩚⊴⇥≮⫘↔1011010001010=≮⫘↔-1111011111100","layer":3},{"info":"≮⫘↔11101110101⪭≮⫘↔101111010011=≮⫘↔101","layer":3},{"info":"≮⫘↔-1111011111100⇮⋭≮⫘↔101=≮⫘↔111100101101","layer":2},{"info":"≮⫘↔1000011⩵∡≮⫘↔111100101101=≮⫘↔111000101110","layer":1},{"info":"NaN⩖⊿≮⫘↔111000101110=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"(($2772$∕⩚$7872$)⪉⨛$1636$↬$4501$)∇⊂⋱(⪹($2752$+$4091$))+(($1780$⋛$1170$)⊕∕($1605$⨂≜$3468$)⫑)","expression":"((≮⫘↔101011010100∕⩚≮⫘↔1111011000000)⪉⨛≮⫘↔11001100100↬≮⫘↔1000110010101)∇⊂⋱(⪹(≮⫘↔101011000000+≮⫘↔111111111011))+((≮⫘↔11011110100⋛≮⫘↔10010010010)⊕∕(≮⫘↔11001000101⨂≜≮⫘↔110110001100)⫑)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4752,"operation_count":11,"complexity_ratio":432.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2772,"base":2},"right_expr":{"type":"numeric_atoms","value":7872,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1636,"base":2},"right_expr":{"type":"numeric_atoms","value":4501,"base":2}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2752,"base":2},"right_expr":{"type":"numeric_atoms","value":4091,"base":2}}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1780,"base":2},"right_expr":{"type":"numeric_atoms","value":1170,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1605,"base":2},"right_expr":{"type":"numeric_atoms","value":3468,"base":2}}}}},"used_operators":["W4YGzv6Whe","nhYeJWJD5X","EWw2JM7wp4","z9ffQ9n5Zr","B5M0gjZbta","USyYr0JgAa","CgIo77xlM2","9cloC0Ngie","YbUVn0Rbpy","k1SHOSEABc"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rGHVDoGpnC","tifHPKVTfV","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2772","layer":4},{"info":"number node, value=7872","layer":4},{"info":"compute binary expreesion, left_input=2772, right_input=7872, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2775","layer":3},{"info":"number node, value=1636","layer":4},{"info":"number node, value=4501","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=4501, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2775, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"number node, value=2752","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=4091, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6843","layer":3},{"info":"compute unary expreesion, input=6843, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-6663","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6663, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=1780","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=1170, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-116172","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=3468","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=3468, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-116172, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-116172","layer":2},{"info":"compute unary expreesion, input=-116172, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101011010100∕⩚≮⫘↔1111011000000)⪉⨛≮⫘↔11001100100↬≮⫘↔1000110010101)∇⊂⋱(⪹(≮⫘↔101011000000+≮⫘↔111111111011))+((≮⫘↔11011110100⋛≮⫘↔10010010010)⊕∕(≮⫘↔11001000101⨂≜≮⫘↔110110001100)⫑)=NaN","reverse_text":"NaN=((≮⫘↔101011010100∕⩚≮⫘↔1111011000000)⪉⨛≮⫘↔11001100100↬≮⫘↔1000110010101)∇⊂⋱(⪹(≮⫘↔101011000000+≮⫘↔111111111011))+((≮⫘↔11011110100⋛≮⫘↔10010010010)⊕∕(≮⫘↔11001000101⨂≜≮⫘↔110110001100)⫑)","cot":[{"info":"≮⫘↔101011010100∕⩚≮⫘↔1111011000000=≮⫘↔-101011010111","layer":3},{"info":"≮⫘↔11001100100↬≮⫘↔1000110010101=NaN","layer":3},{"info":"≮⫘↔-101011010111⪉⨛NaN=NaN","layer":2},{"info":"≮⫘↔101011000000+≮⫘↔111111111011=≮⫘↔1101010111011","layer":3},{"info":"⪹≮⫘↔1101010111011=≮⫘↔-1101000000111","layer":2},{"info":"NaN∇⊂⋱≮⫘↔-1101000000111=NaN","layer":1},{"info":"≮⫘↔11011110100⋛≮⫘↔10010010010=≮⫘↔-11100010111001100","layer":3},{"info":"≮⫘↔11001000101⨂≜≮⫘↔110110001100=NaN","layer":3},{"info":"≮⫘↔-11100010111001100⊕∕NaN=≮⫘↔-11100010111001100","layer":2},{"info":"≮⫘↔-11100010111001100⫑=≮⫘↔-111100000","layer":1},{"info":"NaN+≮⫘↔-111100000=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"((↔$1116$)⪒⊣⊆($5876$∠⫱$2905$)⇞)⋹⋡⊁(($4706$≁↽≥$1567$⊨$8901$⪶≀⋏$1943$)∊∟⩊(($3937$∪⫐$3325$)∘$2243$⪒⊣⊆$7136$))","expression":"((↔≮⫘↔10001011100)⪒⊣⊆(≮⫘↔1011011110100∠⫱≮⫘↔101101011001)⇞)⋹⋡⊁((≮⫘↔1001001100010≁↽≥≮⫘↔11000011111⊨≮⫘↔10001011000101⪶≀⋏≮⫘↔11110010111)∊∟⩊((≮⫘↔111101100001∪⫐≮⫘↔110011111101)∘≮⫘↔100011000011⪒⊣⊆≮⫘↔1101111100000))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":62624,"operation_count":12,"complexity_ratio":5218.666666666667,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1116,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5876,"base":2},"right_expr":{"type":"numeric_atoms","value":2905,"base":2}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4706,"base":2},"right_expr":{"type":"numeric_atoms","value":1567,"base":2}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":8901,"base":2},"right_expr":{"type":"numeric_atoms","value":1943,"base":2}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3937,"base":2},"right_expr":{"type":"numeric_atoms","value":3325,"base":2}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2243,"base":2},"right_expr":{"type":"numeric_atoms","value":7136,"base":2}}}}},"used_operators":["As8RqfVLgs","5JYyxRJd4f","eRqsBgTDFp","ruOEQAzv1W","QvoQhV0rrE","ddLRYrp01A","vg4gO5BX6G","ncHt1X6cMc","zR4jO40bMj","Z5m6OM72h2","7YooWSwCyH"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z","rJVOvQCfKK","2DDjHMKMc0"],"result":"≮⫘↔10000110110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-843","layer":3},{"info":"number node, value=5876","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=5876, right_input=2905, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-843, right_input=1234, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4256","layer":2},{"info":"compute unary expreesion, input=4256, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=16937","layer":1},{"info":"number node, value=4706","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=1567, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=67888","layer":3},{"info":"number node, value=8901","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=8901, right_input=1943, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-30821","layer":3},{"info":"compute binary expreesion, left_input=67888, right_input=-30821, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=272583","layer":2},{"info":"number node, value=3937","layer":4},{"info":"number node, value=3325","layer":4},{"info":"compute binary expreesion, left_input=3937, right_input=3325, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3937","layer":3},{"info":"number node, value=2243","layer":4},{"info":"number node, value=7136","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=7136, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4486","layer":3},{"info":"compute binary expreesion, left_input=3937, right_input=4486, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7874","layer":2},{"info":"compute binary expreesion, left_input=272583, right_input=7874, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=7874","layer":1},{"info":"compute binary expreesion, left_input=16937, right_input=7874, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=8624","layer":0}],"base":2,"result_base":2,"text":"((↔≮⫘↔10001011100)⪒⊣⊆(≮⫘↔1011011110100∠⫱≮⫘↔101101011001)⇞)⋹⋡⊁((≮⫘↔1001001100010≁↽≥≮⫘↔11000011111⊨≮⫘↔10001011000101⪶≀⋏≮⫘↔11110010111)∊∟⩊((≮⫘↔111101100001∪⫐≮⫘↔110011111101)∘≮⫘↔100011000011⪒⊣⊆≮⫘↔1101111100000))=≮⫘↔10000110110000","reverse_text":"≮⫘↔10000110110000=((↔≮⫘↔10001011100)⪒⊣⊆(≮⫘↔1011011110100∠⫱≮⫘↔101101011001)⇞)⋹⋡⊁((≮⫘↔1001001100010≁↽≥≮⫘↔11000011111⊨≮⫘↔10001011000101⪶≀⋏≮⫘↔11110010111)∊∟⩊((≮⫘↔111101100001∪⫐≮⫘↔110011111101)∘≮⫘↔100011000011⪒⊣⊆≮⫘↔1101111100000))","cot":[{"info":"↔≮⫘↔10001011100=≮⫘↔-1101001011","layer":3},{"info":"≮⫘↔1011011110100∠⫱≮⫘↔101101011001=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-1101001011⪒⊣⊆≮⫘↔10011010010=≮⫘↔1000010100000","layer":2},{"info":"≮⫘↔1000010100000⇞=≮⫘↔100001000101001","layer":1},{"info":"≮⫘↔1001001100010≁↽≥≮⫘↔11000011111=≮⫘↔10000100100110000","layer":3},{"info":"≮⫘↔10001011000101⪶≀⋏≮⫘↔11110010111=≮⫘↔-111100001100101","layer":3},{"info":"≮⫘↔10000100100110000⊨≮⫘↔-111100001100101=≮⫘↔1000010100011000111","layer":2},{"info":"≮⫘↔111101100001∪⫐≮⫘↔110011111101=≮⫘↔111101100001","layer":3},{"info":"≮⫘↔100011000011⪒⊣⊆≮⫘↔1101111100000=≮⫘↔1000110000110","layer":3},{"info":"≮⫘↔111101100001∘≮⫘↔1000110000110=≮⫘↔1111011000010","layer":2},{"info":"≮⫘↔1000010100011000111∊∟⩊≮⫘↔1111011000010=≮⫘↔1111011000010","layer":1},{"info":"≮⫘↔100001000101001⋹⋡⊁≮⫘↔1111011000010=≮⫘↔10000110110000","layer":0}]}
{"id":901,"expression_no_base_symbol":"(($3537$∋$3723$⨽$1304$+⇶⊼$4168$)↦)≌((∟⋨$3454$)⇉⇱⇎)⫞⩸⩒((⩒∊$1351$)≹⇙⪍($6149$⪄$1163$))","expression":"((≮⫘↔110111010001∋≮⫘↔111010001011⨽≮⫘↔10100011000+⇶⊼≮⫘↔1000001001000)↦)≌((∟⋨≮⫘↔110101111110)⇉⇱⇎)⫞⩸⩒((⩒∊≮⫘↔10101000111)≹⇙⪍(≮⫘↔1100000000101⪄≮⫘↔10010001011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7901764,"operation_count":11,"complexity_ratio":718342.1818181818,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3537,"base":2},"right_expr":{"type":"numeric_atoms","value":3723,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1304,"base":2},"right_expr":{"type":"numeric_atoms","value":4168,"base":2}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3454,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1351,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6149,"base":2},"right_expr":{"type":"numeric_atoms","value":1163,"base":2}}}}},"used_operators":["lyWz822IDG","fFznvYxMfW","8HhzD0ZcuI","ukq6epAj5P","TpPTUOHfaN","XGcMNugi78","MRPaB8lBjK","ctOc4cKSDt","AHs5Up7iyr","qazvmhNBbN","SUmda5xLS4"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","AHs5Up7iyr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","eLAdDNolq6","tmPS8pqC7x","dWAJyo7jo9","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≮⫘↔10011011101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3537","layer":4},{"info":"number node, value=3723","layer":4},{"info":"compute binary expreesion, left_input=3537, right_input=3723, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=7844308","layer":3},{"info":"number node, value=1304","layer":4},{"info":"number node, value=4168","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=4168, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7844308, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":1},{"info":"number node, value=3454","layer":4},{"info":"compute unary expreesion, input=3454, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2970","layer":3},{"info":"compute unary expreesion, input=-2970, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":2},{"info":"number node, value=1351","layer":4},{"info":"compute unary expreesion, input=1351, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1945","layer":3},{"info":"number node, value=6149","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=6149, right_input=1163, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-910793","layer":3},{"info":"compute binary expreesion, left_input=1945, right_input=-910793, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=218","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9964","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110111010001∋≮⫘↔111010001011⨽≮⫘↔10100011000+⇶⊼≮⫘↔1000001001000)↦)≌((∟⋨≮⫘↔110101111110)⇉⇱⇎)⫞⩸⩒((⩒∊≮⫘↔10101000111)≹⇙⪍(≮⫘↔1100000000101⪄≮⫘↔10010001011))=≮⫘↔10011011101100","reverse_text":"≮⫘↔10011011101100=((≮⫘↔110111010001∋≮⫘↔111010001011⨽≮⫘↔10100011000+⇶⊼≮⫘↔1000001001000)↦)≌((∟⋨≮⫘↔110101111110)⇉⇱⇎)⫞⩸⩒((⩒∊≮⫘↔10101000111)≹⇙⪍(≮⫘↔1100000000101⪄≮⫘↔10010001011))","cot":[{"info":"≮⫘↔110111010001∋≮⫘↔111010001011=≮⫘↔11101111011000111010100","layer":3},{"info":"≮⫘↔10100011000+⇶⊼≮⫘↔1000001001000=NaN","layer":3},{"info":"≮⫘↔11101111011000111010100⨽NaN=NaN","layer":2},{"info":"NaN↦=NaN","layer":1},{"info":"∟⋨≮⫘↔110101111110=≮⫘↔-101110011010","layer":3},{"info":"≮⫘↔-101110011010⇉⇱⇎=≮⫘↔11011010","layer":2},{"info":"⩒∊≮⫘↔10101000111=≮⫘↔11110011001","layer":3},{"info":"≮⫘↔1100000000101⪄≮⫘↔10010001011=≮⫘↔-11011110010111001001","layer":3},{"info":"≮⫘↔11110011001≹⇙⪍≮⫘↔-11011110010111001001=NaN","layer":2},{"info":"≮⫘↔11011010⫞⩸⩒NaN=≮⫘↔11011010","layer":1},{"info":"NaN≌≮⫘↔11011010=≮⫘↔10011011101100","layer":0}]}
{"id":902,"expression_no_base_symbol":"(∤↝($1847$⪡$2265$⫦⪉$1605$⨂≜$3399$))⫯⪬∳((⊢≑≆$3929$)⊬⨰(⇋⊎⋝$4174$)⪶≀⋏($7171$∠↢$3628$)⋹⋡⊁($2565$⊟⇱))","expression":"(∤↝(≮⫘↔11100110111⪡≮⫘↔100011011001⫦⪉≮⫘↔11001000101⨂≜≮⫘↔110101000111))⫯⪬∳((⊢≑≆≮⫘↔111101011001)⊬⨰(⇋⊎⋝≮⫘↔1000001001110)⪶≀⋏(≮⫘↔1110000000011∠↢≮⫘↔111000101100)⋹⋡⊁(≮⫘↔101000000101⊟⇱))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":68446,"operation_count":12,"complexity_ratio":5703.833333333333,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1847,"base":2},"right_expr":{"type":"numeric_atoms","value":2265,"base":2}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1605,"base":2},"right_expr":{"type":"numeric_atoms","value":3399,"base":2}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":3929,"base":2}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":4174,"base":2}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":7171,"base":2},"right_expr":{"type":"numeric_atoms","value":3628,"base":2}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":2565,"base":2}}}}},"used_operators":["d7ASUq0ydm","3UMq87Qwqg","wscyQdcy20","oraRL2iQuh","k1SHOSEABc","zR4jO40bMj","s3Fd5m9Dh2","27wFxooxGf","CzM2PEoXns","As8RqfVLgs","KbjG8mgYpV","03sUfWo75k"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","dWAJyo7jo9","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","IWmyXbctLI"],"result":"≮⫘↔11011100101101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=2265, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=3399","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=3399, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4686","layer":2},{"info":"compute unary expreesion, input=4686, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=4686","layer":1},{"info":"number node, value=3929","layer":4},{"info":"compute unary expreesion, input=3929, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=16168","layer":3},{"info":"number node, value=4174","layer":4},{"info":"compute unary expreesion, input=4174, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16168, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"number node, value=7171","layer":4},{"info":"number node, value=3628","layer":4},{"info":"compute binary expreesion, left_input=7171, right_input=3628, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-78394","layer":3},{"info":"number node, value=2565","layer":4},{"info":"compute unary expreesion, input=2565, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=5446","layer":3},{"info":"compute binary expreesion, left_input=-78394, right_input=5446, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6196","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6196, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4686, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14125","layer":0}],"base":2,"result_base":2,"text":"(∤↝(≮⫘↔11100110111⪡≮⫘↔100011011001⫦⪉≮⫘↔11001000101⨂≜≮⫘↔110101000111))⫯⪬∳((⊢≑≆≮⫘↔111101011001)⊬⨰(⇋⊎⋝≮⫘↔1000001001110)⪶≀⋏(≮⫘↔1110000000011∠↢≮⫘↔111000101100)⋹⋡⊁(≮⫘↔101000000101⊟⇱))=≮⫘↔11011100101101","reverse_text":"≮⫘↔11011100101101=(∤↝(≮⫘↔11100110111⪡≮⫘↔100011011001⫦⪉≮⫘↔11001000101⨂≜≮⫘↔110101000111))⫯⪬∳((⊢≑≆≮⫘↔111101011001)⊬⨰(⇋⊎⋝≮⫘↔1000001001110)⪶≀⋏(≮⫘↔1110000000011∠↢≮⫘↔111000101100)⋹⋡⊁(≮⫘↔101000000101⊟⇱))","cot":[{"info":"≮⫘↔11100110111⪡≮⫘↔100011011001=≮⫘↔1101011","layer":3},{"info":"≮⫘↔11001000101⨂≜≮⫘↔110101000111=NaN","layer":3},{"info":"≮⫘↔1101011⫦⪉NaN=≮⫘↔1001001001110","layer":2},{"info":"∤↝≮⫘↔1001001001110=≮⫘↔1001001001110","layer":1},{"info":"⊢≑≆≮⫘↔111101011001=≮⫘↔11111100101000","layer":3},{"info":"⇋⊎⋝≮⫘↔1000001001110=NaN","layer":3},{"info":"≮⫘↔11111100101000⊬⨰NaN=NaN","layer":2},{"info":"≮⫘↔1110000000011∠↢≮⫘↔111000101100=≮⫘↔-10011001000111010","layer":3},{"info":"≮⫘↔101000000101⊟⇱=≮⫘↔1010101000110","layer":3},{"info":"≮⫘↔-10011001000111010⋹⋡⊁≮⫘↔1010101000110=≮⫘↔1100000110100","layer":2},{"info":"NaN⪶≀⋏≮⫘↔1100000110100=NaN","layer":1},{"info":"≮⫘↔1001001001110⫯⪬∳NaN=≮⫘↔11011100101101","layer":0}]}
{"id":903,"expression_no_base_symbol":"⨴⫝((⇁⨣⪵(≸≮$3960$))⨵⪆($5358$≃$2828$)∌$8558$⩁⩘$8512$)","expression":"⨴⫝((⇁⨣⪵(≸≮≮⫘↔111101111000))⨵⪆(≮⫘↔1010011101110≃≮⫘↔101100001100)∌≮⫘↔10000101101110⩁⩘≮⫘↔10000101000000)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11783,"operation_count":7,"complexity_ratio":1683.2857142857142,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3960,"base":2}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5358,"base":2},"right_expr":{"type":"numeric_atoms","value":2828,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":8558,"base":2},"right_expr":{"type":"numeric_atoms","value":8512,"base":2}}}}},"used_operators":["SVb2v531z1","2DQ55sFlQl","inkyxCbjAn","AljMvE3RRm","8cLx32lpNA","YbVcJGFEVW","gub5Cegaqo"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DpFCA1CohY","IWmyXbctLI"],"result":"≮⫘↔1010110010011110100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3960","layer":4},{"info":"compute unary expreesion, input=3960, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=5358","layer":4},{"info":"number node, value=2828","layer":4},{"info":"compute binary expreesion, left_input=5358, right_input=2828, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-21472","layer":3},{"info":"number node, value=8558","layer":4},{"info":"number node, value=8512","layer":4},{"info":"compute binary expreesion, left_input=8558, right_input=8512, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=34996","layer":3},{"info":"compute binary expreesion, left_input=-21472, right_input=34996, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-21472","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21472, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":0}],"base":2,"result_base":2,"text":"⨴⫝((⇁⨣⪵(≸≮≮⫘↔111101111000))⨵⪆(≮⫘↔1010011101110≃≮⫘↔101100001100)∌≮⫘↔10000101101110⩁⩘≮⫘↔10000101000000)=≮⫘↔1010110010011110100110","reverse_text":"≮⫘↔1010110010011110100110=⨴⫝((⇁⨣⪵(≸≮≮⫘↔111101111000))⨵⪆(≮⫘↔1010011101110≃≮⫘↔101100001100)∌≮⫘↔10000101101110⩁⩘≮⫘↔10000101000000)","cot":[{"info":"≸≮≮⫘↔111101111000=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"≮⫘↔1010011101110≃≮⫘↔101100001100=≮⫘↔-101001111100000","layer":3},{"info":"≮⫘↔10000101101110⩁⩘≮⫘↔10000101000000=≮⫘↔1000100010110100","layer":3},{"info":"≮⫘↔-101001111100000∌≮⫘↔1000100010110100=≮⫘↔-101001111100000","layer":2},{"info":"NaN⨵⪆≮⫘↔-101001111100000=≮⫘↔10100000","layer":1},{"info":"⨴⫝≮⫘↔10100000=≮⫘↔1010110010011110100110","layer":0}]}
{"id":904,"expression_no_base_symbol":"(⨈⪑$1366$⇡⇂$5962$)↓($1631$↳≱$1568$⊲⩕⊾($1653$⨻⩈⩔$4890$))⨴∎","expression":"(⨈⪑≮⫘↔10101010110⇡⇂≮⫘↔1011101001010)↓(≮⫘↔11001011111↳≱≮⫘↔11000100000⊲⩕⊾(≮⫘↔11001110101⨻⩈⩔≮⫘↔1001100011010))⨴∎","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":658175,"operation_count":7,"complexity_ratio":94025.0,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1366,"base":2},"right_expr":{"type":"numeric_atoms","value":5962,"base":2}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1631,"base":2},"right_expr":{"type":"numeric_atoms","value":1568,"base":2}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1653,"base":2},"right_expr":{"type":"numeric_atoms","value":4890,"base":2}}}}},"used_operators":["CpSg5vQTgA","Af076pWI7l","mp94q5OcYM","UMwdvZNt44","DmTXOeWf9t","JwTKLfZU96","nEsXyWgiOK"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1366","layer":4},{"info":"number node, value=5962","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=5962, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":2},{"info":"number node, value=1631","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1568, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1653","layer":4},{"info":"number node, value=4890","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=4890, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=4823","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4823, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-44860","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-44860, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=-134","layer":0}],"base":2,"result_base":2,"text":"(⨈⪑≮⫘↔10101010110⇡⇂≮⫘↔1011101001010)↓(≮⫘↔11001011111↳≱≮⫘↔11000100000⊲⩕⊾(≮⫘↔11001110101⨻⩈⩔≮⫘↔1001100011010))⨴∎=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=(⨈⪑≮⫘↔10101010110⇡⇂≮⫘↔1011101001010)↓(≮⫘↔11001011111↳≱≮⫘↔11000100000⊲⩕⊾(≮⫘↔11001110101⨻⩈⩔≮⫘↔1001100011010))⨴∎","cot":[{"info":"≮⫘↔10101010110⇡⇂≮⫘↔1011101001010=NaN","layer":3},{"info":"⨈⪑NaN=NaN","layer":2},{"info":"≮⫘↔11001011111↳≱≮⫘↔11000100000=≮⫘↔0","layer":3},{"info":"≮⫘↔11001110101⨻⩈⩔≮⫘↔1001100011010=≮⫘↔1001011010111","layer":3},{"info":"≮⫘↔0⊲⩕⊾≮⫘↔1001011010111=≮⫘↔-1010111100111100","layer":2},{"info":"NaN↓≮⫘↔-1010111100111100=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔-10000110⨴∎=≮⫘↔-10000110","layer":0}]}
{"id":905,"expression_no_base_symbol":"(≇⪴($1005$⪚$1940$∠↢$1922$⨿$4239$))≃((⩩$1959$)⪔($2502$≎⊠⪸$2581$))⋥⋵⩄($4087$⪕$2911$∖($1636$⪊≅))","expression":"(≇⪴(≮⫘↔1111101101⪚≮⫘↔11110010100∠↢≮⫘↔11110000010⨿≮⫘↔1000010001111))≃((⩩≮⫘↔11110100111)⪔(≮⫘↔100111000110≎⊠⪸≮⫘↔101000010101))⋥⋵⩄(≮⫘↔111111110111⪕≮⫘↔101101011111∖(≮⫘↔11001100100⪊≅))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":651274,"operation_count":12,"complexity_ratio":54272.833333333336,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":1940,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1922,"base":2},"right_expr":{"type":"numeric_atoms","value":4239,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1959,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2502,"base":2},"right_expr":{"type":"numeric_atoms","value":2581,"base":2}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4087,"base":2},"right_expr":{"type":"numeric_atoms","value":2911,"base":2}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1636,"base":2}}}}},"used_operators":["YbVcJGFEVW","zoVPnxeHJ3","KbjG8mgYpV","HrjLwUk87U","abYXlopdE0","7t3wd0Fuz7","GjBEYRfMaF","kMhfGuqI2H","bJkvcejdHO","tXD093vOjl","umQnsF7QlU","bjFbhXSADs"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1940, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2226","layer":3},{"info":"number node, value=1922","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=4239, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-2226, right_input=-319, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=14452","layer":2},{"info":"compute unary expreesion, input=14452, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-42016","layer":1},{"info":"number node, value=1959","layer":4},{"info":"compute unary expreesion, input=1959, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=2502","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=2581, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=647545","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=647545, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"number node, value=4087","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=4087, right_input=2911, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6164","layer":3},{"info":"number node, value=1636","layer":4},{"info":"compute unary expreesion, input=1636, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6164, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-42016, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≇⪴(≮⫘↔1111101101⪚≮⫘↔11110010100∠↢≮⫘↔11110000010⨿≮⫘↔1000010001111))≃((⩩≮⫘↔11110100111)⪔(≮⫘↔100111000110≎⊠⪸≮⫘↔101000010101))⋥⋵⩄(≮⫘↔111111110111⪕≮⫘↔101101011111∖(≮⫘↔11001100100⪊≅))=NaN","reverse_text":"NaN=(≇⪴(≮⫘↔1111101101⪚≮⫘↔11110010100∠↢≮⫘↔11110000010⨿≮⫘↔1000010001111))≃((⩩≮⫘↔11110100111)⪔(≮⫘↔100111000110≎⊠⪸≮⫘↔101000010101))⋥⋵⩄(≮⫘↔111111110111⪕≮⫘↔101101011111∖(≮⫘↔11001100100⪊≅))","cot":[{"info":"≮⫘↔1111101101⪚≮⫘↔11110010100=≮⫘↔-100010110010","layer":3},{"info":"≮⫘↔11110000010⨿≮⫘↔1000010001111=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔-100010110010∠↢≮⫘↔-100111111=≮⫘↔11100001110100","layer":2},{"info":"≇⪴≮⫘↔11100001110100=≮⫘↔-1010010000100000","layer":1},{"info":"⩩≮⫘↔11110100111=NaN","layer":3},{"info":"≮⫘↔100111000110≎⊠⪸≮⫘↔101000010101=≮⫘↔10011110000101111001","layer":3},{"info":"NaN⪔≮⫘↔10011110000101111001=NaN","layer":2},{"info":"≮⫘↔111111110111⪕≮⫘↔101101011111=≮⫘↔1100000010100","layer":3},{"info":"≮⫘↔11001100100⪊≅=≮⫘↔0","layer":3},{"info":"≮⫘↔1100000010100∖≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⋥⋵⩄≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔-1010010000100000≃NaN=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"(⩎⋉($4698$⋥⋵⩄$4791$↬($1383$⊾⪯⋞$2115$)))⊭↱(↩⪖(∂⩏⊆$8987$))⨽($1317$⋅⇍$3485$⩹$7610$⪮%⊝$2665$)","expression":"(⩎⋉(≮⫘↔1001001011010⋥⋵⩄≮⫘↔1001010110111↬(≮⫘↔10101100111⊾⪯⋞≮⫘↔100001000011)))⊭↱(↩⪖(∂⩏⊆≮⫘↔10001100011011))⨽(≮⫘↔10100100101⋅⇍≮⫘↔110110011101⩹≮⫘↔1110110111010⪮%⊝≮⫘↔101001101001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":376566,"operation_count":11,"complexity_ratio":34233.27272727273,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4698,"base":2},"right_expr":{"type":"numeric_atoms","value":4791,"base":2}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1383,"base":2},"right_expr":{"type":"numeric_atoms","value":2115,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":8987,"base":2}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1317,"base":2},"right_expr":{"type":"numeric_atoms","value":3485,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7610,"base":2},"right_expr":{"type":"numeric_atoms","value":2665,"base":2}}}}},"used_operators":["COABgblf1C","FlXk3pOYe8","B5M0gjZbta","7t3wd0Fuz7","HK0tfVPux8","8HhzD0ZcuI","fG6uBQFnGz","8WDwsbhb0R","2Wsdkap16l","AdZkA7nFnk","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","rGHVDoGpnC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4698","layer":4},{"info":"number node, value=4791","layer":4},{"info":"compute binary expreesion, left_input=4698, right_input=4791, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1383","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=2115, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3804","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=3804, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":1},{"info":"number node, value=8987","layer":4},{"info":"compute unary expreesion, input=8987, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-27040","layer":3},{"info":"compute unary expreesion, input=-27040, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=376366","layer":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=3485, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=7610","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=7610, right_input=2665, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15536","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=15536, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=15534","layer":2},{"info":"compute binary expreesion, left_input=376366, right_input=15534, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⩎⋉(≮⫘↔1001001011010⋥⋵⩄≮⫘↔1001010110111↬(≮⫘↔10101100111⊾⪯⋞≮⫘↔100001000011)))⊭↱(↩⪖(∂⩏⊆≮⫘↔10001100011011))⨽(≮⫘↔10100100101⋅⇍≮⫘↔110110011101⩹≮⫘↔1110110111010⪮%⊝≮⫘↔101001101001)=NaN","reverse_text":"NaN=(⩎⋉(≮⫘↔1001001011010⋥⋵⩄≮⫘↔1001010110111↬(≮⫘↔10101100111⊾⪯⋞≮⫘↔100001000011)))⊭↱(↩⪖(∂⩏⊆≮⫘↔10001100011011))⨽(≮⫘↔10100100101⋅⇍≮⫘↔110110011101⩹≮⫘↔1110110111010⪮%⊝≮⫘↔101001101001)","cot":[{"info":"≮⫘↔1001001011010⋥⋵⩄≮⫘↔1001010110111=≮⫘↔1110001","layer":3},{"info":"≮⫘↔10101100111⊾⪯⋞≮⫘↔100001000011=≮⫘↔111011011100","layer":3},{"info":"≮⫘↔1110001↬≮⫘↔111011011100=NaN","layer":2},{"info":"⩎⋉NaN=NaN","layer":1},{"info":"∂⩏⊆≮⫘↔10001100011011=≮⫘↔-110100110100000","layer":3},{"info":"↩⪖≮⫘↔-110100110100000=≮⫘↔1011011111000101110","layer":2},{"info":"≮⫘↔10100100101⋅⇍≮⫘↔110110011101=≮⫘↔-10110","layer":3},{"info":"≮⫘↔1110110111010⪮%⊝≮⫘↔101001101001=≮⫘↔11110010110000","layer":3},{"info":"≮⫘↔-10110⩹≮⫘↔11110010110000=≮⫘↔11110010101110","layer":2},{"info":"≮⫘↔1011011111000101110⨽≮⫘↔11110010101110=-Inf","layer":1},{"info":"NaN⊭↱-Inf=NaN","layer":0}]}
{"id":907,"expression_no_base_symbol":"(⇋⊎⋝(⩪∧⨌$7292$))⇴∐(≑⋹($1458$⪚$4105$))⫃⨇(($3083$↙$1795$)⨔≚≋$2364$⇤$2477$)⪡($3708$⋥⋵⩄$5514$)⪎↠($2791$⫃⨇$1518$)","expression":"(⇋⊎⋝(⩪∧⨌≮⫘↔1110001111100))⇴∐(≑⋹(≮⫘↔10110110010⪚≮⫘↔1000000001001))⫃⨇((≮⫘↔110000001011↙≮⫘↔11100000011)⨔≚≋≮⫘↔100100111100⇤≮⫘↔100110101101)⪡(≮⫘↔111001111100⋥⋵⩄≮⫘↔1010110001010)⪎↠(≮⫘↔101011100111⫃⨇≮⫘↔10111101110)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":667617,"operation_count":13,"complexity_ratio":51355.153846153844,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":7292,"base":2}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1458,"base":2},"right_expr":{"type":"numeric_atoms","value":4105,"base":2}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3083,"base":2},"right_expr":{"type":"numeric_atoms","value":1795,"base":2}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2364,"base":2},"right_expr":{"type":"numeric_atoms","value":2477,"base":2}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3708,"base":2},"right_expr":{"type":"numeric_atoms","value":5514,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2791,"base":2},"right_expr":{"type":"numeric_atoms","value":1518,"base":2}}}}},"used_operators":["09Ly4LVMIf","HnzytWxmAO","CzM2PEoXns","6iOiAJX1F8","6B9nyZLogK","HrjLwUk87U","oraRL2iQuh","Z57zeUYC9z","yyfyN0ffXY","YSKBFp38Pu","3tVxb0NHM4","7t3wd0Fuz7"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","dWAJyo7jo9","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7292","layer":4},{"info":"compute unary expreesion, input=7292, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=72920","layer":3},{"info":"compute unary expreesion, input=72920, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1458","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=4105, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5650","layer":3},{"info":"compute unary expreesion, input=-5650, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-766, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=3083","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=3083, right_input=1795, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5385","layer":3},{"info":"number node, value=2364","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=2477, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-21357","layer":3},{"info":"compute binary expreesion, left_input=-5385, right_input=-21357, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=254256","layer":2},{"info":"number node, value=3708","layer":4},{"info":"number node, value=5514","layer":4},{"info":"compute binary expreesion, left_input=3708, right_input=5514, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2791","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=1518, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6104","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-6104, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=981","layer":2},{"info":"compute binary expreesion, left_input=254256, right_input=981, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇋⊎⋝(⩪∧⨌≮⫘↔1110001111100))⇴∐(≑⋹(≮⫘↔10110110010⪚≮⫘↔1000000001001))⫃⨇((≮⫘↔110000001011↙≮⫘↔11100000011)⨔≚≋≮⫘↔100100111100⇤≮⫘↔100110101101)⪡(≮⫘↔111001111100⋥⋵⩄≮⫘↔1010110001010)⪎↠(≮⫘↔101011100111⫃⨇≮⫘↔10111101110)=NaN","reverse_text":"NaN=(⇋⊎⋝(⩪∧⨌≮⫘↔1110001111100))⇴∐(≑⋹(≮⫘↔10110110010⪚≮⫘↔1000000001001))⫃⨇((≮⫘↔110000001011↙≮⫘↔11100000011)⨔≚≋≮⫘↔100100111100⇤≮⫘↔100110101101)⪡(≮⫘↔111001111100⋥⋵⩄≮⫘↔1010110001010)⪎↠(≮⫘↔101011100111⫃⨇≮⫘↔10111101110)","cot":[{"info":"⩪∧⨌≮⫘↔1110001111100=≮⫘↔10001110011011000","layer":3},{"info":"⇋⊎⋝≮⫘↔10001110011011000=NaN","layer":2},{"info":"≮⫘↔10110110010⪚≮⫘↔1000000001001=≮⫘↔-1011000010010","layer":3},{"info":"≑⋹≮⫘↔-1011000010010=≮⫘↔-1011111110","layer":2},{"info":"NaN⇴∐≮⫘↔-1011111110=NaN","layer":1},{"info":"≮⫘↔110000001011↙≮⫘↔11100000011=≮⫘↔-1010100001001","layer":3},{"info":"≮⫘↔100100111100⇤≮⫘↔100110101101=≮⫘↔-101001101101101","layer":3},{"info":"≮⫘↔-1010100001001⨔≚≋≮⫘↔-101001101101101=≮⫘↔111110000100110000","layer":2},{"info":"≮⫘↔111001111100⋥⋵⩄≮⫘↔1010110001010=≮⫘↔1110001","layer":3},{"info":"≮⫘↔101011100111⫃⨇≮⫘↔10111101110=≮⫘↔-1011111011000","layer":3},{"info":"≮⫘↔1110001⪎↠≮⫘↔-1011111011000=≮⫘↔1111010101","layer":2},{"info":"≮⫘↔111110000100110000⪡≮⫘↔1111010101=≮⫘↔1101011","layer":1},{"info":"NaN⫃⨇≮⫘↔1101011=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"↩(⪸($3372$⨂≜$1250$⪉⨛(⇾⩊⇾$4340$)))","expression":"↩(⪸(≮⫘↔110100101100⨂≜≮⫘↔10011100010⪉⨛(⇾⩊⇾≮⫘↔1000011110100)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3488,"operation_count":5,"complexity_ratio":697.6,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3372,"base":2},"right_expr":{"type":"numeric_atoms","value":1250,"base":2}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4340,"base":2}}}}},"used_operators":["jLgFTUHLKL","86A5ENbKR9","EWw2JM7wp4","k1SHOSEABc","bx9Z9DAK5y"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3372","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=3372, right_input=1250, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=4340","layer":4},{"info":"compute unary expreesion, input=4340, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-45546","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-45546, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↩(⪸(≮⫘↔110100101100⨂≜≮⫘↔10011100010⪉⨛(⇾⩊⇾≮⫘↔1000011110100)))=NaN","reverse_text":"NaN=↩(⪸(≮⫘↔110100101100⨂≜≮⫘↔10011100010⪉⨛(⇾⩊⇾≮⫘↔1000011110100)))","cot":[{"info":"≮⫘↔110100101100⨂≜≮⫘↔10011100010=NaN","layer":3},{"info":"⇾⩊⇾≮⫘↔1000011110100=≮⫘↔-1011000111101010","layer":3},{"info":"NaN⪉⨛≮⫘↔-1011000111101010=NaN","layer":2},{"info":"⪸NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"($3816$∙∹∝$8343$∪⫐(⇜⊴$3369$))⪒⊣⊆($1057$⊨$1054$∕⩚($4476$⨲))∩⋅","expression":"(≮⫘↔111011101000∙∹∝≮⫘↔10000010010111∪⫐(⇜⊴≮⫘↔110100101001))⪒⊣⊆(≮⫘↔10000100001⊨≮⫘↔10000011110∕⩚(≮⫘↔1000101111100⨲))∩⋅","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":683555,"operation_count":8,"complexity_ratio":85444.375,"tree":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3816,"base":2},"right_expr":{"type":"numeric_atoms","value":8343,"base":2}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3369,"base":2}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1057,"base":2},"right_expr":{"type":"numeric_atoms","value":1054,"base":2}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":4476,"base":2}}}}},"used_operators":["2MzE1hQ0cz","eRqsBgTDFp","7YooWSwCyH","HmxsFra2vL","XwDhCwWbUn","z9ffQ9n5Zr","vg4gO5BX6G","nLYMGWM7L8"],"dependent_operators":["Qy55tPpLXF","sdazOOVcIp","W4YGzv6Whe","rJVOvQCfKK","2DDjHMKMc0","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3816","layer":4},{"info":"number node, value=8343","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=8343, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3369","layer":4},{"info":"compute unary expreesion, input=3369, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-781370","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-781370, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=0","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=1054, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5259","layer":3},{"info":"number node, value=4476","layer":4},{"info":"compute unary expreesion, input=4476, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=795499021","layer":3},{"info":"compute binary expreesion, left_input=5259, right_input=795499021, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5262","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5262, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-10422","layer":1},{"info":"compute unary expreesion, input=-10422, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111011101000∙∹∝≮⫘↔10000010010111∪⫐(⇜⊴≮⫘↔110100101001))⪒⊣⊆(≮⫘↔10000100001⊨≮⫘↔10000011110∕⩚(≮⫘↔1000101111100⨲))∩⋅=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(≮⫘↔111011101000∙∹∝≮⫘↔10000010010111∪⫐(⇜⊴≮⫘↔110100101001))⪒⊣⊆(≮⫘↔10000100001⊨≮⫘↔10000011110∕⩚(≮⫘↔1000101111100⨲))∩⋅","cot":[{"info":"≮⫘↔111011101000∙∹∝≮⫘↔10000010010111=≮⫘↔0","layer":3},{"info":"⇜⊴≮⫘↔110100101001=≮⫘↔-10111110110000111010","layer":3},{"info":"≮⫘↔0∪⫐≮⫘↔-10111110110000111010=≮⫘↔0","layer":2},{"info":"≮⫘↔10000100001⊨≮⫘↔10000011110=≮⫘↔1010010001011","layer":3},{"info":"≮⫘↔1000101111100⨲=≮⫘↔101111011010100101101000001101","layer":3},{"info":"≮⫘↔1010010001011∕⩚≮⫘↔101111011010100101101000001101=≮⫘↔-1010010001110","layer":2},{"info":"≮⫘↔0⪒⊣⊆≮⫘↔-1010010001110=≮⫘↔-10100010110110","layer":1},{"info":"≮⫘↔-10100010110110∩⋅=≮⫘↔1000011","layer":0}]}
{"id":910,"expression_no_base_symbol":"(($1570$≁$1923$⪁$1234$⪝$1071$)⇴∐(($2283$⫚↹⊑$1291$)⪐))⇻⋧≁(≉($4490$⫡⨏$2524$)≁↽≥(⪹$2709$))","expression":"((≮⫘↔11000100010≁≮⫘↔11110000011⪁≮⫘↔10011010010⪝≮⫘↔10000101111)⇴∐((≮⫘↔100011101011⫚↹⊑≮⫘↔10100001011)⪐))⇻⋧≁(≉(≮⫘↔1000110001010⫡⨏≮⫘↔100111011100)≁↽≥(⪹≮⫘↔101010010101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18281058,"operation_count":11,"complexity_ratio":1661914.3636363635,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1570,"base":2},"right_expr":{"type":"numeric_atoms","value":1923,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1234,"base":2},"right_expr":{"type":"numeric_atoms","value":1071,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2283,"base":2},"right_expr":{"type":"numeric_atoms","value":1291,"base":2}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4490,"base":2},"right_expr":{"type":"numeric_atoms","value":2524,"base":2}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2709,"base":2}}}}},"used_operators":["jCPkEVoL5K","HnzytWxmAO","I7sXao9hZE","8N2wDY1A35","wicAB68Tmb","eH2TOUuTDT","dfKe02y8D2","e1ybzncUwg","ncHt1X6cMc","QMFrweE19q","USyYr0JgAa"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1570","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=1923, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=32951","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1071, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1051","layer":3},{"info":"compute binary expreesion, left_input=32951, right_input=-1051, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=2283","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=1291, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-894","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-894, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=4490","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=4490, right_input=2524, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28281","layer":3},{"info":"number node, value=2709","layer":4},{"info":"compute unary expreesion, input=2709, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2529","layer":3},{"info":"compute binary expreesion, left_input=28281, right_input=-2529, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=727","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=727, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11000100010≁≮⫘↔11110000011⪁≮⫘↔10011010010⪝≮⫘↔10000101111)⇴∐((≮⫘↔100011101011⫚↹⊑≮⫘↔10100001011)⪐))⇻⋧≁(≉(≮⫘↔1000110001010⫡⨏≮⫘↔100111011100)≁↽≥(⪹≮⫘↔101010010101))=NaN","reverse_text":"NaN=((≮⫘↔11000100010≁≮⫘↔11110000011⪁≮⫘↔10011010010⪝≮⫘↔10000101111)⇴∐((≮⫘↔100011101011⫚↹⊑≮⫘↔10100001011)⪐))⇻⋧≁(≉(≮⫘↔1000110001010⫡⨏≮⫘↔100111011100)≁↽≥(⪹≮⫘↔101010010101))","cot":[{"info":"≮⫘↔11000100010≁≮⫘↔11110000011=≮⫘↔1000000010110111","layer":3},{"info":"≮⫘↔10011010010⪝≮⫘↔10000101111=≮⫘↔-10000011011","layer":3},{"info":"≮⫘↔1000000010110111⪁≮⫘↔-10000011011=NaN","layer":2},{"info":"≮⫘↔100011101011⫚↹⊑≮⫘↔10100001011=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-110111111⪐=≮⫘↔-1101111110","layer":2},{"info":"NaN⇴∐≮⫘↔-1101111110=NaN","layer":1},{"info":"≮⫘↔1000110001010⫡⨏≮⫘↔100111011100=≮⫘↔110111001111001","layer":3},{"info":"⪹≮⫘↔101010010101=≮⫘↔-100111100001","layer":3},{"info":"≮⫘↔110111001111001≁↽≥≮⫘↔-100111100001=≮⫘↔11000100","layer":2},{"info":"≉≮⫘↔11000100=≮⫘↔1011010111","layer":1},{"info":"NaN⇻⋧≁≮⫘↔1011010111=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"(($1609$⪕$6768$∲⫓$1106$⋛$1699$)⊭↱$3675$≁$3985$⊨($1226$⊾⪯⋞$2713$))⇡⇂((⇜$2110$)⪁$3855$∊∟⩊$1567$)⪬(($4472$≬⋮$2346$)+⇶⊼(↩$1203$))","expression":"((≮⫘↔11001001001⪕≮⫘↔1101001110000∲⫓≮⫘↔10001010010⋛≮⫘↔11010100011)⊭↱≮⫘↔111001011011≁≮⫘↔111110010001⊨(≮⫘↔10011001010⊾⪯⋞≮⫘↔101010011001))⇡⇂((⇜≮⫘↔100000111110)⪁≮⫘↔111100001111∊∟⩊≮⫘↔11000011111)⪬((≮⫘↔1000101111000≬⋮≮⫘↔100100101010)+⇶⊼(↩≮⫘↔10010110011))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22150326,"operation_count":15,"complexity_ratio":1476688.4,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1609,"base":2},"right_expr":{"type":"numeric_atoms","value":6768,"base":2}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1106,"base":2},"right_expr":{"type":"numeric_atoms","value":1699,"base":2}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3675,"base":2},"right_expr":{"type":"numeric_atoms","value":3985,"base":2}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1226,"base":2},"right_expr":{"type":"numeric_atoms","value":2713,"base":2}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2110,"base":2}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3855,"base":2},"right_expr":{"type":"numeric_atoms","value":1567,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4472,"base":2},"right_expr":{"type":"numeric_atoms","value":2346,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1203,"base":2}}}}},"used_operators":["UMwdvZNt44","COABgblf1C","i8ToyICDmI","umQnsF7QlU","YbUVn0Rbpy","vg4gO5BX6G","8N2wDY1A35","HK0tfVPux8","Ez1Nq5fNfI","I7sXao9hZE","lFBm8KRb8F","ddLRYrp01A","TpPTUOHfaN","kbkesczE7y","jLgFTUHLKL"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","AHs5Up7iyr","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"number node, value=6768","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=6768, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1699, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-122238","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-122238, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-55","layer":2},{"info":"number node, value=3675","layer":4},{"info":"number node, value=3985","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=3985, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=82439","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=2713","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=2713, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5000","layer":3},{"info":"compute binary expreesion, left_input=82439, right_input=5000, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=330787","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=330787, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=661689","layer":1},{"info":"number node, value=2110","layer":4},{"info":"compute unary expreesion, input=2110, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-17288","layer":3},{"info":"number node, value=3855","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=3855, right_input=1567, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1567","layer":3},{"info":"compute binary expreesion, left_input=-17288, right_input=1567, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=4472","layer":4},{"info":"number node, value=2346","layer":4},{"info":"compute binary expreesion, left_input=4472, right_input=2346, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1203","layer":4},{"info":"compute unary expreesion, input=1203, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6844","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-6844, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=661689, right_input=1234, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11001001001⪕≮⫘↔1101001110000∲⫓≮⫘↔10001010010⋛≮⫘↔11010100011)⊭↱≮⫘↔111001011011≁≮⫘↔111110010001⊨(≮⫘↔10011001010⊾⪯⋞≮⫘↔101010011001))⇡⇂((⇜≮⫘↔100000111110)⪁≮⫘↔111100001111∊∟⩊≮⫘↔11000011111)⪬((≮⫘↔1000101111000≬⋮≮⫘↔100100101010)+⇶⊼(↩≮⫘↔10010110011))=NaN","reverse_text":"NaN=((≮⫘↔11001001001⪕≮⫘↔1101001110000∲⫓≮⫘↔10001010010⋛≮⫘↔11010100011)⊭↱≮⫘↔111001011011≁≮⫘↔111110010001⊨(≮⫘↔10011001010⊾⪯⋞≮⫘↔101010011001))⇡⇂((⇜≮⫘↔100000111110)⪁≮⫘↔111100001111∊∟⩊≮⫘↔11000011111)⪬((≮⫘↔1000101111000≬⋮≮⫘↔100100101010)+⇶⊼(↩≮⫘↔10010110011))","cot":[{"info":"≮⫘↔11001001001⪕≮⫘↔1101001110000=≮⫘↔-110111","layer":3},{"info":"≮⫘↔10001010010⋛≮⫘↔11010100011=≮⫘↔-11101110101111110","layer":3},{"info":"≮⫘↔-110111∲⫓≮⫘↔-11101110101111110=≮⫘↔-110111","layer":2},{"info":"≮⫘↔111001011011≁≮⫘↔111110010001=≮⫘↔10100001000000111","layer":3},{"info":"≮⫘↔10011001010⊾⪯⋞≮⫘↔101010011001=≮⫘↔1001110001000","layer":3},{"info":"≮⫘↔10100001000000111⊨≮⫘↔1001110001000=≮⫘↔1010000110000100011","layer":2},{"info":"≮⫘↔-110111⊭↱≮⫘↔1010000110000100011=≮⫘↔10100001100010111001","layer":1},{"info":"⇜≮⫘↔100000111110=≮⫘↔-100001110001000","layer":3},{"info":"≮⫘↔111100001111∊∟⩊≮⫘↔11000011111=≮⫘↔11000011111","layer":3},{"info":"≮⫘↔-100001110001000⪁≮⫘↔11000011111=NaN","layer":2},{"info":"≮⫘↔1000101111000≬⋮≮⫘↔100100101010=≮⫘↔1101100100","layer":3},{"info":"↩≮⫘↔10010110011=≮⫘↔-1101010111100","layer":3},{"info":"≮⫘↔1101100100+⇶⊼≮⫘↔-1101010111100=NaN","layer":2},{"info":"NaN⪬NaN=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔10100001100010111001⇡⇂≮⫘↔10011010010=NaN","layer":0}]}
{"id":912,"expression_no_base_symbol":"((⇾⩊⇾$8640$)⨱∎)⫘($1532$∕⩚$1010$)⩼⇪↪(∜⨇$2718$)⊬⨰(($5299$+⇶⊼$1723$⪊≅)⨴∎)","expression":"((⇾⩊⇾≮⫘↔10000111000000)⨱∎)⫘(≮⫘↔10111111100∕⩚≮⫘↔1111110010)⩼⇪↪(∜⨇≮⫘↔101010011110)⊬⨰((≮⫘↔1010010110011+⇶⊼≮⫘↔11010111011⪊≅)⨴∎)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1714,"operation_count":10,"complexity_ratio":171.4,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":8640,"base":2}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1532,"base":2},"right_expr":{"type":"numeric_atoms","value":1010,"base":2}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2718,"base":2}}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5299,"base":2},"right_expr":{"type":"numeric_atoms","value":1723,"base":2}}}}},"used_operators":["s3Fd5m9Dh2","48vC8HMD2b","MmTdOpaElr","bx9Z9DAK5y","ocnLzx9CaJ","z9ffQ9n5Zr","uFPyJr306J","CpSg5vQTgA","bjFbhXSADs","TpPTUOHfaN"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tifHPKVTfV","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8640","layer":4},{"info":"compute unary expreesion, input=8640, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-84246","layer":3},{"info":"compute unary expreesion, input=-84246, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"number node, value=1532","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=1010, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1535","layer":3},{"info":"number node, value=2718","layer":4},{"info":"compute unary expreesion, input=2718, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1535, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"number node, value=5299","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=5299, right_input=1723, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇾⩊⇾≮⫘↔10000111000000)⨱∎)⫘(≮⫘↔10111111100∕⩚≮⫘↔1111110010)⩼⇪↪(∜⨇≮⫘↔101010011110)⊬⨰((≮⫘↔1010010110011+⇶⊼≮⫘↔11010111011⪊≅)⨴∎)=NaN","reverse_text":"NaN=((⇾⩊⇾≮⫘↔10000111000000)⨱∎)⫘(≮⫘↔10111111100∕⩚≮⫘↔1111110010)⩼⇪↪(∜⨇≮⫘↔101010011110)⊬⨰((≮⫘↔1010010110011+⇶⊼≮⫘↔11010111011⪊≅)⨴∎)","cot":[{"info":"⇾⩊⇾≮⫘↔10000111000000=≮⫘↔-10100100100010110","layer":3},{"info":"≮⫘↔-10100100100010110⨱∎=≮⫘↔0","layer":2},{"info":"≮⫘↔10111111100∕⩚≮⫘↔1111110010=≮⫘↔-10111111111","layer":3},{"info":"∜⨇≮⫘↔101010011110=NaN","layer":3},{"info":"≮⫘↔-10111111111⩼⇪↪NaN=NaN","layer":2},{"info":"≮⫘↔0⫘NaN=NaN","layer":1},{"info":"≮⫘↔1010010110011+⇶⊼≮⫘↔11010111011=NaN","layer":3},{"info":"NaN⪊≅=NaN","layer":2},{"info":"NaN⨴∎=NaN","layer":1},{"info":"NaN⊬⨰NaN=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"((⇖($5996$⊲⩕⊾$2901$))⫩)∋($3408$→⨶⪴$2685$⊝⪿⪼($2960$⩨$3082$))⪝(($2999$⨳⩥⨓$1449$)⨟⋌⩍(∨∊⋏$2446$))","expression":"((⇖(≮⫘↔1011101101100⊲⩕⊾≮⫘↔101101010101))⫩)∋(≮⫘↔110101010000→⨶⪴≮⫘↔101001111101⊝⪿⪼(≮⫘↔101110010000⩨≮⫘↔110000001010))⪝((≮⫘↔101110110111⨳⩥⨓≮⫘↔10110101001)⨟⋌⩍(∨∊⋏≮⫘↔100110001110))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":737,"operation_count":11,"complexity_ratio":67.0,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5996,"base":2},"right_expr":{"type":"numeric_atoms","value":2901,"base":2}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3408,"base":2},"right_expr":{"type":"numeric_atoms","value":2685,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2960,"base":2},"right_expr":{"type":"numeric_atoms","value":3082,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2999,"base":2},"right_expr":{"type":"numeric_atoms","value":1449,"base":2}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2446,"base":2}}}}},"used_operators":["ukq6epAj5P","6aG7x05OhS","tfWHHpNKUN","DmTXOeWf9t","wicAB68Tmb","3Oe9XWJUTD","bF6eod5Gvf","2DlMacCsIx","rGHVDoGpnC","nCS4ZIUYfx","R5aXW34M0v"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","dWAJyo7jo9","2DQ55sFlQl","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5996","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=5996, right_input=2901, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-121576","layer":3},{"info":"compute unary expreesion, input=-121576, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=3408","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=3408, right_input=2685, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8055","layer":3},{"info":"number node, value=2960","layer":4},{"info":"number node, value=3082","layer":4},{"info":"compute binary expreesion, left_input=2960, right_input=3082, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-8055, right_input=-3, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-110893","layer":2},{"info":"number node, value=2999","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=2999, right_input=1449, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1550","layer":3},{"info":"number node, value=2446","layer":4},{"info":"compute unary expreesion, input=2446, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=45503","layer":3},{"info":"compute binary expreesion, left_input=-1550, right_input=45503, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-110893, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇖(≮⫘↔1011101101100⊲⩕⊾≮⫘↔101101010101))⫩)∋(≮⫘↔110101010000→⨶⪴≮⫘↔101001111101⊝⪿⪼(≮⫘↔101110010000⩨≮⫘↔110000001010))⪝((≮⫘↔101110110111⨳⩥⨓≮⫘↔10110101001)⨟⋌⩍(∨∊⋏≮⫘↔100110001110))=NaN","reverse_text":"NaN=((⇖(≮⫘↔1011101101100⊲⩕⊾≮⫘↔101101010101))⫩)∋(≮⫘↔110101010000→⨶⪴≮⫘↔101001111101⊝⪿⪼(≮⫘↔101110010000⩨≮⫘↔110000001010))⪝((≮⫘↔101110110111⨳⩥⨓≮⫘↔10110101001)⨟⋌⩍(∨∊⋏≮⫘↔100110001110))","cot":[{"info":"≮⫘↔1011101101100⊲⩕⊾≮⫘↔101101010101=≮⫘↔-11101101011101000","layer":3},{"info":"⇖≮⫘↔-11101101011101000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10100000⫩=NaN","layer":1},{"info":"≮⫘↔110101010000→⨶⪴≮⫘↔101001111101=≮⫘↔-1111101110111","layer":3},{"info":"≮⫘↔101110010000⩨≮⫘↔110000001010=≮⫘↔-11","layer":3},{"info":"≮⫘↔-1111101110111⊝⪿⪼≮⫘↔-11=≮⫘↔-11011000100101101","layer":2},{"info":"≮⫘↔101110110111⨳⩥⨓≮⫘↔10110101001=≮⫘↔-11000001110","layer":3},{"info":"∨∊⋏≮⫘↔100110001110=≮⫘↔1011000110111111","layer":3},{"info":"≮⫘↔-11000001110⨟⋌⩍≮⫘↔1011000110111111=NaN","layer":2},{"info":"≮⫘↔-11011000100101101⪝NaN=NaN","layer":1},{"info":"NaN∋NaN=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"(($3200$∠↢$5512$)⇻⋧≁($7560$⩘$1758$)∪⫐(⪡⇡≛($1072$⪕$4207$)))∙⊟(-$7681$⩦$1291$)⩷∴((⊑$5244$)/$3279$∇⊂⋱$1027$)","expression":"((≮⫘↔110010000000∠↢≮⫘↔1010110001000)⇻⋧≁(≮⫘↔1110110001000⩘≮⫘↔11011011110)∪⫐(⪡⇡≛(≮⫘↔10000110000⪕≮⫘↔1000001101111)))∙⊟(-≮⫘↔1111000000001⩦≮⫘↔10100001011)⩷∴((⊑≮⫘↔1010001111100)/≮⫘↔110011001111∇⊂⋱≮⫘↔10000000011)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":804191,"operation_count":13,"complexity_ratio":61860.846153846156,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3200,"base":2},"right_expr":{"type":"numeric_atoms","value":5512,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7560,"base":2},"right_expr":{"type":"numeric_atoms","value":1758,"base":2}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1072,"base":2},"right_expr":{"type":"numeric_atoms","value":4207,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":7681,"base":2},"right_expr":{"type":"numeric_atoms","value":1291,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":5244,"base":2}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3279,"base":2},"right_expr":{"type":"numeric_atoms","value":1027,"base":2}}}}},"used_operators":["SxTAKzQCrw","7YooWSwCyH","jCPkEVoL5K","KbjG8mgYpV","cHh1gJQ2o6","qL4PrbW1Dq","umQnsF7QlU","9FxExcQeMw","t8gj7n24qd","0kmYd0q39Y","XhwjNDsVaA","IkUmn0D7oy","nhYeJWJD5X"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rJVOvQCfKK","2DDjHMKMc0","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"≮⫘↔100111111001100010101011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3200","layer":4},{"info":"number node, value=5512","layer":4},{"info":"compute binary expreesion, left_input=3200, right_input=5512, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-88886","layer":3},{"info":"number node, value=7560","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=7560, right_input=1758, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-88886, right_input=160, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-803351","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=4207, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-803351, right_input=-55, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-803351","layer":1},{"info":"number node, value=7681","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=7681, right_input=1291, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=15362","layer":3},{"info":"compute unary expreesion, input=15362, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-15362","layer":2},{"info":"number node, value=5244","layer":4},{"info":"compute unary expreesion, input=5244, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=3279","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=1027, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6012","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=6012, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-15362, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-30756","layer":1},{"info":"compute binary expreesion, left_input=-803351, right_input=-30756, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=10459307","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110010000000∠↢≮⫘↔1010110001000)⇻⋧≁(≮⫘↔1110110001000⩘≮⫘↔11011011110)∪⫐(⪡⇡≛(≮⫘↔10000110000⪕≮⫘↔1000001101111)))∙⊟(-≮⫘↔1111000000001⩦≮⫘↔10100001011)⩷∴((⊑≮⫘↔1010001111100)/≮⫘↔110011001111∇⊂⋱≮⫘↔10000000011)=≮⫘↔100111111001100010101011","reverse_text":"≮⫘↔100111111001100010101011=((≮⫘↔110010000000∠↢≮⫘↔1010110001000)⇻⋧≁(≮⫘↔1110110001000⩘≮⫘↔11011011110)∪⫐(⪡⇡≛(≮⫘↔10000110000⪕≮⫘↔1000001101111)))∙⊟(-≮⫘↔1111000000001⩦≮⫘↔10100001011)⩷∴((⊑≮⫘↔1010001111100)/≮⫘↔110011001111∇⊂⋱≮⫘↔10000000011)","cot":[{"info":"≮⫘↔110010000000∠↢≮⫘↔1010110001000=≮⫘↔-10101101100110110","layer":3},{"info":"≮⫘↔1110110001000⩘≮⫘↔11011011110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-10101101100110110⇻⋧≁≮⫘↔10100000=≮⫘↔-11000100001000010111","layer":2},{"info":"≮⫘↔10000110000⪕≮⫘↔1000001101111=≮⫘↔-110111","layer":3},{"info":"⪡⇡≛≮⫘↔-110111=≮⫘↔-110111","layer":2},{"info":"≮⫘↔-11000100001000010111∪⫐≮⫘↔-110111=≮⫘↔-11000100001000010111","layer":1},{"info":"≮⫘↔1111000000001⩦≮⫘↔10100001011=≮⫘↔11110000000010","layer":3},{"info":"-≮⫘↔11110000000010=≮⫘↔-11110000000010","layer":2},{"info":"⊑≮⫘↔1010001111100=≮⫘↔11000000","layer":3},{"info":"≮⫘↔110011001111∇⊂⋱≮⫘↔10000000011=≮⫘↔1011101111100","layer":3},{"info":"≮⫘↔11000000/≮⫘↔1011101111100=≮⫘↔0","layer":2},{"info":"≮⫘↔-11110000000010⩷∴≮⫘↔0=≮⫘↔-111100000100100","layer":1},{"info":"≮⫘↔-11000100001000010111∙⊟≮⫘↔-111100000100100=≮⫘↔100111111001100010101011","layer":0}]}
{"id":915,"expression_no_base_symbol":"⪭⩑⪱(⨆≐≲($2163$↤⩊$5132$≦↸($4433$⪉⨛$1714$)))","expression":"⪭⩑⪱(⨆≐≲(≮⫘↔100001110011↤⩊≮⫘↔1010000001100≦↸(≮⫘↔1000101010001⪉⨛≮⫘↔11010110010)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":512509,"operation_count":5,"complexity_ratio":102501.8,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2163,"base":2},"right_expr":{"type":"numeric_atoms","value":5132,"base":2}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4433,"base":2},"right_expr":{"type":"numeric_atoms","value":1714,"base":2}}}}},"used_operators":["SIgE0bArFf","Bi9z9uYZqW","RygbFNSyEJ","13rbtpv6ld","EWw2JM7wp4"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"≮⫘↔11111101111011011110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2163","layer":4},{"info":"number node, value=5132","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=5132, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=4433","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=4433, right_input=1714, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11800","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11800, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"compute unary expreesion, input=-168548, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":2,"result_base":2,"text":"⪭⩑⪱(⨆≐≲(≮⫘↔100001110011↤⩊≮⫘↔1010000001100≦↸(≮⫘↔1000101010001⪉⨛≮⫘↔11010110010)))=≮⫘↔11111101111011011110000","reverse_text":"≮⫘↔11111101111011011110000=⪭⩑⪱(⨆≐≲(≮⫘↔100001110011↤⩊≮⫘↔1010000001100≦↸(≮⫘↔1000101010001⪉⨛≮⫘↔11010110010)))","cot":[{"info":"≮⫘↔100001110011↤⩊≮⫘↔1010000001100=NaN","layer":3},{"info":"≮⫘↔1000101010001⪉⨛≮⫘↔11010110010=≮⫘↔10111000011000","layer":3},{"info":"NaN≦↸≮⫘↔10111000011000=NaN","layer":2},{"info":"⨆≐≲NaN=≮⫘↔-101001001001100100","layer":1},{"info":"⪭⩑⪱≮⫘↔-101001001001100100=≮⫘↔11111101111011011110000","layer":0}]}
{"id":916,"expression_no_base_symbol":"↨(($3916$⩨$1470$⩢≌)∽(≦∁$1083$⫌⩉⩟$7456$))","expression":"↨((≮⫘↔111101001100⩨≮⫘↔10110111110⩢≌)∽(≦∁≮⫘↔10000111011⫌⩉⩟≮⫘↔1110100100000))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":45559,"operation_count":6,"complexity_ratio":7593.166666666667,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3916,"base":2},"right_expr":{"type":"numeric_atoms","value":1470,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1083,"base":2},"right_expr":{"type":"numeric_atoms","value":7456,"base":2}}}}},"used_operators":["jiX4gk2v2Q","y4ImoPnbV5","D617RFjZIq","2DlMacCsIx","9ICcGScMcE","XIIwhv8d0m"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","NTOWxs364D","QMFrweE19q","hTbEZDJLEm","o20kRiQErp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3916","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=3916, right_input=1470, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"number node, value=1083","layer":4},{"info":"number node, value=7456","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=7456, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=278","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=278, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-1221","layer":1},{"info":"compute unary expreesion, input=-1221, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↨((≮⫘↔111101001100⩨≮⫘↔10110111110⩢≌)∽(≦∁≮⫘↔10000111011⫌⩉⩟≮⫘↔1110100100000))=NaN","reverse_text":"NaN=↨((≮⫘↔111101001100⩨≮⫘↔10110111110⩢≌)∽(≦∁≮⫘↔10000111011⫌⩉⩟≮⫘↔1110100100000))","cot":[{"info":"≮⫘↔111101001100⩨≮⫘↔10110111110=≮⫘↔0","layer":3},{"info":"≮⫘↔0⩢≌=≮⫘↔1110001","layer":2},{"info":"≮⫘↔10000111011⫌⩉⩟≮⫘↔1110100100000=≮⫘↔-110010","layer":3},{"info":"≦∁≮⫘↔-110010=≮⫘↔100010110","layer":2},{"info":"≮⫘↔1110001∽≮⫘↔100010110=≮⫘↔-10011000101","layer":1},{"info":"↨≮⫘↔-10011000101=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"(⪫⨮⊛(↩$1875$⨰$2207$))≀⫉((⇜$1538$)∌(⨈⪑$1050$)⩷∴$1390$⋕⪉⪜$1640$∘($2686$⋅⇍$1271$))","expression":"(⪫⨮⊛(↩≮⫘↔11101010011⨰≮⫘↔100010011111))≀⫉((⇜≮⫘↔11000000010)∌(⨈⪑≮⫘↔10000011010)⩷∴≮⫘↔10101101110⋕⪉⪜≮⫘↔11001101000∘(≮⫘↔101001111110⋅⇍≮⫘↔10011110111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2362118,"operation_count":11,"complexity_ratio":214738.0,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1875,"base":2},"right_expr":{"type":"numeric_atoms","value":2207,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1538,"base":2}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1050,"base":2}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":1640,"base":2}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2686,"base":2},"right_expr":{"type":"numeric_atoms","value":1271,"base":2}}}}},"used_operators":["oZj3VtZNQx","w5FWba1tyO","jLgFTUHLKL","eewbuw0ToL","9FxExcQeMw","8cLx32lpNA","lFBm8KRb8F","mp94q5OcYM","Z5m6OM72h2","z6LnFrNh4i","AdZkA7nFnk"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","eH2TOUuTDT","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1875","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=2207, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-322","layer":3},{"info":"compute unary expreesion, input=-322, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3908","layer":2},{"info":"compute unary expreesion, input=3908, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-12712","layer":3},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-12712, right_input=868, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-12712","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1640, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=2686","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=1271, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-22, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-2422","layer":2},{"info":"compute binary expreesion, left_input=-12712, right_input=-2422, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-20612","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20612, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪫⨮⊛(↩≮⫘↔11101010011⨰≮⫘↔100010011111))≀⫉((⇜≮⫘↔11000000010)∌(⨈⪑≮⫘↔10000011010)⩷∴≮⫘↔10101101110⋕⪉⪜≮⫘↔11001101000∘(≮⫘↔101001111110⋅⇍≮⫘↔10011110111))=NaN","reverse_text":"NaN=(⪫⨮⊛(↩≮⫘↔11101010011⨰≮⫘↔100010011111))≀⫉((⇜≮⫘↔11000000010)∌(⨈⪑≮⫘↔10000011010)⩷∴≮⫘↔10101101110⋕⪉⪜≮⫘↔11001101000∘(≮⫘↔101001111110⋅⇍≮⫘↔10011110111))","cot":[{"info":"≮⫘↔11101010011⨰≮⫘↔100010011111=≮⫘↔-101000010","layer":3},{"info":"↩≮⫘↔-101000010=≮⫘↔111101000100","layer":2},{"info":"⪫⨮⊛≮⫘↔111101000100=NaN","layer":1},{"info":"⇜≮⫘↔11000000010=≮⫘↔-11000110101000","layer":3},{"info":"⨈⪑≮⫘↔10000011010=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔-11000110101000∌≮⫘↔1101100100=≮⫘↔-11000110101000","layer":2},{"info":"≮⫘↔10101101110⋕⪉⪜≮⫘↔11001101000=≮⫘↔101011110010","layer":3},{"info":"≮⫘↔101001111110⋅⇍≮⫘↔10011110111=≮⫘↔-10110","layer":3},{"info":"≮⫘↔101011110010∘≮⫘↔-10110=≮⫘↔-100101110110","layer":2},{"info":"≮⫘↔-11000110101000⩷∴≮⫘↔-100101110110=≮⫘↔-101000010000100","layer":1},{"info":"NaN≀⫉≮⫘↔-101000010000100=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"((≇⪴($3646$⇮⋭$1375$))⋾⨃∁$1097$↤⩊$5329$⫉⨲⊜$3307$⫁⪎$1848$)∴((≑⋹$2025$)⊝⪿⪼($1104$⨰$6091$)⩧⪆(⫶⊄≣($1522$∣$1021$)))","expression":"((≇⪴(≮⫘↔111000111110⇮⋭≮⫘↔10101011111))⋾⨃∁≮⫘↔10001001001↤⩊≮⫘↔1010011010001⫉⨲⊜≮⫘↔110011101011⫁⪎≮⫘↔11100111000)∴((≑⋹≮⫘↔11111101001)⊝⪿⪼(≮⫘↔10001010000⨰≮⫘↔1011111001011)⩧⪆(⫶⊄≣(≮⫘↔10111110010∣≮⫘↔1111111101)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1980,"operation_count":13,"complexity_ratio":152.30769230769232,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3646,"base":2},"right_expr":{"type":"numeric_atoms","value":1375,"base":2}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1097,"base":2},"right_expr":{"type":"numeric_atoms","value":5329,"base":2}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3307,"base":2},"right_expr":{"type":"numeric_atoms","value":1848,"base":2}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2025,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1104,"base":2},"right_expr":{"type":"numeric_atoms","value":6091,"base":2}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1522,"base":2},"right_expr":{"type":"numeric_atoms","value":1021,"base":2}}}}},"used_operators":["hrf7POJlIJ","212REbPD9h","zoVPnxeHJ3","vkpjKywKVM","WhqkvtTD3t","13rbtpv6ld","xRrnTEsQ6j","Ikt5ks8PT7","3Oe9XWJUTD","6B9nyZLogK","eewbuw0ToL","wxb3vTeyAj","PPChnnnBFF"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eewbuw0ToL","zVYPLywUTj","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔11110110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3646","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=3646, right_input=1375, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1892","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=5329","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=5329, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3307","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=1848, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1459","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1459, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1892, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":1},{"info":"number node, value=2025","layer":4},{"info":"compute unary expreesion, input=2025, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=6091","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=6091, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4977","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-4977, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=41248","layer":2},{"info":"number node, value=1522","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1021, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=41720797","layer":2},{"info":"compute binary expreesion, left_input=41248, right_input=41720797, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-41720797","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-41720797, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1968","layer":0}],"base":2,"result_base":2,"text":"((≇⪴(≮⫘↔111000111110⇮⋭≮⫘↔10101011111))⋾⨃∁≮⫘↔10001001001↤⩊≮⫘↔1010011010001⫉⨲⊜≮⫘↔110011101011⫁⪎≮⫘↔11100111000)∴((≑⋹≮⫘↔11111101001)⊝⪿⪼(≮⫘↔10001010000⨰≮⫘↔1011111001011)⩧⪆(⫶⊄≣(≮⫘↔10111110010∣≮⫘↔1111111101)))=≮⫘↔11110110000","reverse_text":"≮⫘↔11110110000=((≇⪴(≮⫘↔111000111110⇮⋭≮⫘↔10101011111))⋾⨃∁≮⫘↔10001001001↤⩊≮⫘↔1010011010001⫉⨲⊜≮⫘↔110011101011⫁⪎≮⫘↔11100111000)∴((≑⋹≮⫘↔11111101001)⊝⪿⪼(≮⫘↔10001010000⨰≮⫘↔1011111001011)⩧⪆(⫶⊄≣(≮⫘↔10111110010∣≮⫘↔1111111101)))","cot":[{"info":"≮⫘↔111000111110⇮⋭≮⫘↔10101011111=≮⫘↔-111011001","layer":3},{"info":"≇⪴≮⫘↔-111011001=≮⫘↔-11101100100","layer":2},{"info":"≮⫘↔10001001001↤⩊≮⫘↔1010011010001=NaN","layer":3},{"info":"≮⫘↔110011101011⫁⪎≮⫘↔11100111000=≮⫘↔10110110011","layer":3},{"info":"NaN⫉⨲⊜≮⫘↔10110110011=NaN","layer":2},{"info":"≮⫘↔-11101100100⋾⨃∁NaN=≮⫘↔10100000","layer":1},{"info":"≑⋹≮⫘↔11111101001=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔10001010000⨰≮⫘↔1011111001011=≮⫘↔-1001101110001","layer":3},{"info":"≮⫘↔11001110010⊝⪿⪼≮⫘↔-1001101110001=≮⫘↔1010000100100000","layer":2},{"info":"≮⫘↔10111110010∣≮⫘↔1111111101=≮⫘↔10111110010","layer":3},{"info":"⫶⊄≣≮⫘↔10111110010=≮⫘↔10011111001001101111011101","layer":2},{"info":"≮⫘↔1010000100100000⩧⪆≮⫘↔10011111001001101111011101=≮⫘↔-10011111001001101111011101","layer":1},{"info":"≮⫘↔10100000∴≮⫘↔-10011111001001101111011101=≮⫘↔11110110000","layer":0}]}
{"id":919,"expression_no_base_symbol":"(($1952$≚⊃≕$4894$)⫣⪄⊒($5001$⊋≦⊧$8984$)⪘⫢(∷≠($4537$⪄$1158$)))⫁((($1265$⊦⊿)⋅⇍$1383$⊲⩕⊾$1292$)⪔⊥(⨮↦↱($1584$⩼⇪↪$3706$)))","expression":"((≮⫘↔11110100000≚⊃≕≮⫘↔1001100011110)⫣⪄⊒(≮⫘↔1001110001001⊋≦⊧≮⫘↔10001100011000)⪘⫢(∷≠(≮⫘↔1000110111001⪄≮⫘↔10010000110)))⫁(((≮⫘↔10011110001⊦⊿)⋅⇍≮⫘↔10101100111⊲⩕⊾≮⫘↔10100001100)⪔⊥(⨮↦↱(≮⫘↔11000110000⩼⇪↪≮⫘↔111001111010)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2012275,"operation_count":13,"complexity_ratio":154790.38461538462,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1952,"base":2},"right_expr":{"type":"numeric_atoms","value":4894,"base":2}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5001,"base":2},"right_expr":{"type":"numeric_atoms","value":8984,"base":2}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4537,"base":2},"right_expr":{"type":"numeric_atoms","value":1158,"base":2}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1265,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1383,"base":2},"right_expr":{"type":"numeric_atoms","value":1292,"base":2}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1584,"base":2},"right_expr":{"type":"numeric_atoms","value":3706,"base":2}}}}},"used_operators":["0ajvFaJAv0","oacrs7FA3X","RabNbG55vr","Bmrmz2XGnR","oRDoc9rAEX","QiR2Oyf5Xj","SUmda5xLS4","HJ9erzHUuu","AdZkA7nFnk","14qkJME0vr","DmTXOeWf9t","sYcpBQ0cFf","ocnLzx9CaJ"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1952","layer":4},{"info":"number node, value=4894","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=4894, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-14274","layer":3},{"info":"number node, value=5001","layer":4},{"info":"number node, value=8984","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=8984, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-13745","layer":3},{"info":"compute binary expreesion, left_input=-14274, right_input=-13745, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=4537","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=4537, right_input=1158, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-672197","layer":3},{"info":"compute unary expreesion, input=-672197, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-672197","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-672197, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3874","layer":3},{"info":"number node, value=1383","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=1292, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-31678","layer":3},{"info":"compute binary expreesion, left_input=-3874, right_input=-31678, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=3301","layer":2},{"info":"number node, value=1584","layer":4},{"info":"number node, value=3706","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=3706, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-23557","layer":3},{"info":"compute unary expreesion, input=-23557, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=341817","layer":2},{"info":"compute binary expreesion, left_input=3301, right_input=341817, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-670629","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-670629, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11110100000≚⊃≕≮⫘↔1001100011110)⫣⪄⊒(≮⫘↔1001110001001⊋≦⊧≮⫘↔10001100011000)⪘⫢(∷≠(≮⫘↔1000110111001⪄≮⫘↔10010000110)))⫁(((≮⫘↔10011110001⊦⊿)⋅⇍≮⫘↔10101100111⊲⩕⊾≮⫘↔10100001100)⪔⊥(⨮↦↱(≮⫘↔11000110000⩼⇪↪≮⫘↔111001111010)))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((≮⫘↔11110100000≚⊃≕≮⫘↔1001100011110)⫣⪄⊒(≮⫘↔1001110001001⊋≦⊧≮⫘↔10001100011000)⪘⫢(∷≠(≮⫘↔1000110111001⪄≮⫘↔10010000110)))⫁(((≮⫘↔10011110001⊦⊿)⋅⇍≮⫘↔10101100111⊲⩕⊾≮⫘↔10100001100)⪔⊥(⨮↦↱(≮⫘↔11000110000⩼⇪↪≮⫘↔111001111010)))","cot":[{"info":"≮⫘↔11110100000≚⊃≕≮⫘↔1001100011110=≮⫘↔-11011111000010","layer":3},{"info":"≮⫘↔1001110001001⊋≦⊧≮⫘↔10001100011000=≮⫘↔-11010110110001","layer":3},{"info":"≮⫘↔-11011111000010⫣⪄⊒≮⫘↔-11010110110001=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1000110111001⪄≮⫘↔10010000110=≮⫘↔-10100100000111000101","layer":3},{"info":"∷≠≮⫘↔-10100100000111000101=≮⫘↔-10100100000111000101","layer":2},{"info":"≮⫘↔10100000⪘⫢≮⫘↔-10100100000111000101=≮⫘↔-1","layer":1},{"info":"≮⫘↔10011110001⊦⊿=≮⫘↔-111100100010","layer":3},{"info":"≮⫘↔10101100111⊲⩕⊾≮⫘↔10100001100=≮⫘↔-111101110111110","layer":3},{"info":"≮⫘↔-111100100010⋅⇍≮⫘↔-111101110111110=≮⫘↔110011100101","layer":2},{"info":"≮⫘↔11000110000⩼⇪↪≮⫘↔111001111010=≮⫘↔-101110000000101","layer":3},{"info":"⨮↦↱≮⫘↔-101110000000101=≮⫘↔1010011011100111001","layer":2},{"info":"≮⫘↔110011100101⪔⊥≮⫘↔1010011011100111001=≮⫘↔-10100011101110100101","layer":1},{"info":"≮⫘↔-1⫁≮⫘↔-10100011101110100101=≮⫘↔10100000","layer":0}]}
{"id":920,"expression_no_base_symbol":"(($2884$⫢⨠$3649$)⇍⊗($1942$⨽$2932$)≣⋋)⫲≸⪮(⊗(↪⫪⫘$4944$)⩖⊿($7472$∲⫓$3455$))","expression":"((≮⫘↔101101000100⫢⨠≮⫘↔111001000001)⇍⊗(≮⫘↔11110010110⨽≮⫘↔101101110100)≣⋋)⫲≸⪮(⊗(↪⫪⫘≮⫘↔1001101010000)⩖⊿(≮⫘↔1110100110000∲⫓≮⫘↔110101111111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2988,"operation_count":9,"complexity_ratio":332.0,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2884,"base":2},"right_expr":{"type":"numeric_atoms","value":3649,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1942,"base":2},"right_expr":{"type":"numeric_atoms","value":2932,"base":2}}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4944,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7472,"base":2},"right_expr":{"type":"numeric_atoms","value":3455,"base":2}}}}},"used_operators":["P3lXMJvFrc","Tcnh7f0tEr","5uvYHDjeKN","xlXykHWxX1","8HhzD0ZcuI","RhiyfpczSx","RZ5CV9rWsJ","9dWsAM3GFt","i8ToyICDmI"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2884","layer":4},{"info":"number node, value=3649","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=3649, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1942","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=2932, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11321574","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-11321574, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=4944","layer":4},{"info":"compute unary expreesion, input=4944, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=7472","layer":4},{"info":"number node, value=3455","layer":4},{"info":"compute binary expreesion, left_input=7472, right_input=3455, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1914","layer":2},{"info":"compute unary expreesion, input=1914, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3828","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3828, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101101000100⫢⨠≮⫘↔111001000001)⇍⊗(≮⫘↔11110010110⨽≮⫘↔101101110100)≣⋋)⫲≸⪮(⊗(↪⫪⫘≮⫘↔1001101010000)⩖⊿(≮⫘↔1110100110000∲⫓≮⫘↔110101111111))=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔101101000100⫢⨠≮⫘↔111001000001)⇍⊗(≮⫘↔11110010110⨽≮⫘↔101101110100)≣⋋)⫲≸⪮(⊗(↪⫪⫘≮⫘↔1001101010000)⩖⊿(≮⫘↔1110100110000∲⫓≮⫘↔110101111111))","cot":[{"info":"≮⫘↔101101000100⫢⨠≮⫘↔111001000001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11110010110⨽≮⫘↔101101110100=≮⫘↔-101011001100000011100110","layer":3},{"info":"≮⫘↔10100000⇍⊗≮⫘↔-101011001100000011100110=≮⫘↔-11110100","layer":2},{"info":"≮⫘↔-11110100≣⋋=≮⫘↔0","layer":1},{"info":"↪⫪⫘≮⫘↔1001101010000=≮⫘↔10100","layer":3},{"info":"≮⫘↔1110100110000∲⫓≮⫘↔110101111111=≮⫘↔0","layer":3},{"info":"≮⫘↔10100⩖⊿≮⫘↔0=≮⫘↔11101111010","layer":2},{"info":"⊗≮⫘↔11101111010=≮⫘↔-111011110100","layer":1},{"info":"≮⫘↔0⫲≸⪮≮⫘↔-111011110100=≮⫘↔0","layer":0}]}
{"id":921,"expression_no_base_symbol":"($2494$⋅⇍$3025$)⇤($1075$↹⊜$7731$)⪪(-$6176$⨑⩅≇$3469$)≬⇓(⩎⋉($3142$⨽∌$1052$))⪡(($2009$↱$5333$)∠⫱$4016$⇴$4423$)","expression":"(≮⫘↔100110111110⋅⇍≮⫘↔101111010001)⇤(≮⫘↔10000110011↹⊜≮⫘↔1111000110011)⪪(-≮⫘↔1100000100000⨑⩅≇≮⫘↔110110001101)≬⇓(⩎⋉(≮⫘↔110001000110⨽∌≮⫘↔10000011100))⪡((≮⫘↔11111011001↱≮⫘↔1010011010101)∠⫱≮⫘↔111110110000⇴≮⫘↔1000101000111)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":67164801,"operation_count":13,"complexity_ratio":5166523.153846154,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2494,"base":2},"right_expr":{"type":"numeric_atoms","value":3025,"base":2}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":7731,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":6176,"base":2},"right_expr":{"type":"numeric_atoms","value":3469,"base":2}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3142,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2009,"base":2},"right_expr":{"type":"numeric_atoms","value":5333,"base":2}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4016,"base":2},"right_expr":{"type":"numeric_atoms","value":4423,"base":2}}}}},"used_operators":["jWTQ2TZYIH","xD69zh8xqp","YSKBFp38Pu","AdZkA7nFnk","9bazX3JMtO","t8gj7n24qd","h92wMvzauj","oraRL2iQuh","FlXk3pOYe8","9samAPKr6k","QvoQhV0rrE","SR5kFfdi6N","4JB6nKBMSY"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2494","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=3025, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=7731","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=7731, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-28870","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-28870, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=147308","layer":2},{"info":"number node, value=6176","layer":4},{"info":"number node, value=3469","layer":4},{"info":"compute binary expreesion, left_input=6176, right_input=3469, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-18528","layer":3},{"info":"compute unary expreesion, input=-18528, op_id = t8gj7n24qd, unary_op_definition = 'None', output=18528","layer":2},{"info":"compute binary expreesion, left_input=147308, right_input=18528, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-22239597","layer":1},{"info":"number node, value=3142","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=1052, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=67","layer":2},{"info":"number node, value=2009","layer":4},{"info":"number node, value=5333","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=5333, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-15477","layer":3},{"info":"number node, value=4016","layer":4},{"info":"number node, value=4423","layer":4},{"info":"compute binary expreesion, left_input=4016, right_input=4423, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=32556","layer":3},{"info":"compute binary expreesion, left_input=-15477, right_input=32556, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1234, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"compute binary expreesion, left_input=-22239597, right_input=107, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100110111110⋅⇍≮⫘↔101111010001)⇤(≮⫘↔10000110011↹⊜≮⫘↔1111000110011)⪪(-≮⫘↔1100000100000⨑⩅≇≮⫘↔110110001101)≬⇓(⩎⋉(≮⫘↔110001000110⨽∌≮⫘↔10000011100))⪡((≮⫘↔11111011001↱≮⫘↔1010011010101)∠⫱≮⫘↔111110110000⇴≮⫘↔1000101000111)=Inf","reverse_text":"Inf=(≮⫘↔100110111110⋅⇍≮⫘↔101111010001)⇤(≮⫘↔10000110011↹⊜≮⫘↔1111000110011)⪪(-≮⫘↔1100000100000⨑⩅≇≮⫘↔110110001101)≬⇓(⩎⋉(≮⫘↔110001000110⨽∌≮⫘↔10000011100))⪡((≮⫘↔11111011001↱≮⫘↔1010011010101)∠⫱≮⫘↔111110110000⇴≮⫘↔1000101000111)","cot":[{"info":"≮⫘↔100110111110⋅⇍≮⫘↔101111010001=≮⫘↔-10110","layer":3},{"info":"≮⫘↔10000110011↹⊜≮⫘↔1111000110011=≮⫘↔-111000011000110","layer":3},{"info":"≮⫘↔-10110⇤≮⫘↔-111000011000110=≮⫘↔100011111101101100","layer":2},{"info":"≮⫘↔1100000100000⨑⩅≇≮⫘↔110110001101=≮⫘↔-100100001100000","layer":3},{"info":"-≮⫘↔-100100001100000=≮⫘↔100100001100000","layer":2},{"info":"≮⫘↔100011111101101100⪪≮⫘↔100100001100000=≮⫘↔-1010100110101100101101101","layer":1},{"info":"≮⫘↔110001000110⨽∌≮⫘↔10000011100=≮⫘↔0","layer":3},{"info":"⩎⋉≮⫘↔0=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11111011001↱≮⫘↔1010011010101=≮⫘↔-11110001110101","layer":3},{"info":"≮⫘↔111110110000⇴≮⫘↔1000101000111=≮⫘↔111111100101100","layer":3},{"info":"≮⫘↔-11110001110101∠⫱≮⫘↔111111100101100=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔1000011⪡≮⫘↔10011010010=≮⫘↔1101011","layer":1},{"info":"≮⫘↔-1010100110101100101101101≬⇓≮⫘↔1101011=Inf","layer":0}]}
{"id":922,"expression_no_base_symbol":"((($1747$↸$1670$)⋓$1374$⊢$3587$)⊝⪿⪼($2564$⫁$2620$⫃⨇$4346$⊬⨰$6464$))↢(($3700$⨰$5276$)∌↝($2851$⨻⩈⩔$1146$)⩵∡$3305$↤⩊$2403$↢(⩎⋉$2211$))","expression":"(((≮⫘↔11011010011↸≮⫘↔11010000110)⋓≮⫘↔10101011110⊢≮⫘↔111000000011)⊝⪿⪼(≮⫘↔101000000100⫁≮⫘↔101000111100⫃⨇≮⫘↔1000011111010⊬⨰≮⫘↔1100101000000))↢((≮⫘↔111001110100⨰≮⫘↔1010010011100)∌↝(≮⫘↔101100100011⨻⩈⩔≮⫘↔10001111010)⩵∡≮⫘↔110011101001↤⩊≮⫘↔100101100011↢(⩎⋉≮⫘↔100010100011))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2265,"operation_count":15,"complexity_ratio":151.0,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1747,"base":2},"right_expr":{"type":"numeric_atoms","value":1670,"base":2}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1374,"base":2},"right_expr":{"type":"numeric_atoms","value":3587,"base":2}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2564,"base":2},"right_expr":{"type":"numeric_atoms","value":2620,"base":2}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4346,"base":2},"right_expr":{"type":"numeric_atoms","value":6464,"base":2}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3700,"base":2},"right_expr":{"type":"numeric_atoms","value":5276,"base":2}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2851,"base":2},"right_expr":{"type":"numeric_atoms","value":1146,"base":2}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3305,"base":2},"right_expr":{"type":"numeric_atoms","value":2403,"base":2}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":2211,"base":2}}}}},"used_operators":["WR6HLWljOP","3Oe9XWJUTD","T2fj7uvVaJ","1eCjFl0mb9","5twsqlHp2o","09Ly4LVMIf","0ajvFaJAv0","s3Fd5m9Dh2","Y7wcNGrDQJ","9Isq31Ruls","eewbuw0ToL","nEsXyWgiOK","13rbtpv6ld","FlXk3pOYe8"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","cHh1gJQ2o6","AHs5Up7iyr","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"≮⫘↔111011001110100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1747","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=1670, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1747","layer":3},{"info":"number node, value=1374","layer":4},{"info":"number node, value=3587","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=3587, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2992","layer":3},{"info":"compute binary expreesion, left_input=1747, right_input=-2992, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2564","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=2620, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4346","layer":4},{"info":"number node, value=6464","layer":4},{"info":"compute binary expreesion, left_input=4346, right_input=6464, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=29146","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=29146, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-116616","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-116616, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=243076","layer":1},{"info":"number node, value=3700","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=3700, right_input=5276, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1566","layer":3},{"info":"number node, value=2851","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=1146, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=14407","layer":3},{"info":"compute binary expreesion, left_input=-1566, right_input=14407, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-43221","layer":2},{"info":"number node, value=3305","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=3305, right_input=2403, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2211","layer":4},{"info":"compute unary expreesion, input=2211, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-43221, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=243076, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=242592","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11011010011↸≮⫘↔11010000110)⋓≮⫘↔10101011110⊢≮⫘↔111000000011)⊝⪿⪼(≮⫘↔101000000100⫁≮⫘↔101000111100⫃⨇≮⫘↔1000011111010⊬⨰≮⫘↔1100101000000))↢((≮⫘↔111001110100⨰≮⫘↔1010010011100)∌↝(≮⫘↔101100100011⨻⩈⩔≮⫘↔10001111010)⩵∡≮⫘↔110011101001↤⩊≮⫘↔100101100011↢(⩎⋉≮⫘↔100010100011))=≮⫘↔111011001110100000","reverse_text":"≮⫘↔111011001110100000=(((≮⫘↔11011010011↸≮⫘↔11010000110)⋓≮⫘↔10101011110⊢≮⫘↔111000000011)⊝⪿⪼(≮⫘↔101000000100⫁≮⫘↔101000111100⫃⨇≮⫘↔1000011111010⊬⨰≮⫘↔1100101000000))↢((≮⫘↔111001110100⨰≮⫘↔1010010011100)∌↝(≮⫘↔101100100011⨻⩈⩔≮⫘↔10001111010)⩵∡≮⫘↔110011101001↤⩊≮⫘↔100101100011↢(⩎⋉≮⫘↔100010100011))","cot":[{"info":"≮⫘↔11011010011↸≮⫘↔11010000110=≮⫘↔11011010011","layer":3},{"info":"≮⫘↔10101011110⊢≮⫘↔111000000011=≮⫘↔-101110110000","layer":3},{"info":"≮⫘↔11011010011⋓≮⫘↔-101110110000=≮⫘↔0","layer":2},{"info":"≮⫘↔101000000100⫁≮⫘↔101000111100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1000011111010⊬⨰≮⫘↔1100101000000=≮⫘↔111000111011010","layer":3},{"info":"≮⫘↔10100000⫃⨇≮⫘↔111000111011010=≮⫘↔-11100011110001000","layer":2},{"info":"≮⫘↔0⊝⪿⪼≮⫘↔-11100011110001000=≮⫘↔111011010110000100","layer":1},{"info":"≮⫘↔111001110100⨰≮⫘↔1010010011100=≮⫘↔-11000011110","layer":3},{"info":"≮⫘↔101100100011⨻⩈⩔≮⫘↔10001111010=≮⫘↔11100001000111","layer":3},{"info":"≮⫘↔-11000011110∌↝≮⫘↔11100001000111=≮⫘↔-1010100011010101","layer":2},{"info":"≮⫘↔110011101001↤⩊≮⫘↔100101100011=NaN","layer":3},{"info":"⩎⋉≮⫘↔100010100011=≮⫘↔11001110010","layer":3},{"info":"NaN↢≮⫘↔11001110010=NaN","layer":2},{"info":"≮⫘↔-1010100011010101⩵∡NaN=NaN","layer":1},{"info":"≮⫘↔111011010110000100↢NaN=≮⫘↔111011001110100000","layer":0}]}
{"id":923,"expression_no_base_symbol":"(($8581$⩦$1638$⫡⨏(⋃$1900$))⪗)⇷(($1107$⫉⨲⊜$2336$)⇻⋧≁($1941$⨜⨶$4091$)⫡⨏($1689$⪕$1856$)≚⊃≕(⩷$1455$))","expression":"((≮⫘↔10000110000101⩦≮⫘↔11001100110⫡⨏(⋃≮⫘↔11101101100))⪗)⇷((≮⫘↔10001010011⫉⨲⊜≮⫘↔100100100000)⇻⋧≁(≮⫘↔11110010101⨜⨶≮⫘↔111111111011)⫡⨏(≮⫘↔11010011001⪕≮⫘↔11101000000)≚⊃≕(⩷≮⫘↔10110101111))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":94581,"operation_count":12,"complexity_ratio":7881.75,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":8581,"base":2},"right_expr":{"type":"numeric_atoms","value":1638,"base":2}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1900,"base":2}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1107,"base":2},"right_expr":{"type":"numeric_atoms","value":2336,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1941,"base":2},"right_expr":{"type":"numeric_atoms","value":4091,"base":2}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1689,"base":2},"right_expr":{"type":"numeric_atoms","value":1856,"base":2}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1455,"base":2}}}}},"used_operators":["mp7IySMOzn","VEQNXA0ZBg","QMFrweE19q","0kmYd0q39Y","3mBM5G4a3l","jCPkEVoL5K","WhqkvtTD3t","HiPekx5b7W","Bmrmz2XGnR","umQnsF7QlU","1h0rLqGiFr"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eewbuw0ToL","zVYPLywUTj","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8581","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=8581, right_input=1638, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=17162","layer":3},{"info":"number node, value=1900","layer":4},{"info":"compute unary expreesion, input=1900, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3902","layer":3},{"info":"compute binary expreesion, left_input=17162, right_input=3902, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=94397","layer":2},{"info":"compute unary expreesion, input=94397, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1107","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=2336, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1941","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=4091, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-7926","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7926, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=1689","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1856, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2423","layer":3},{"info":"number node, value=1455","layer":4},{"info":"compute unary expreesion, input=1455, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-17539","layer":3},{"info":"compute binary expreesion, left_input=2423, right_input=-17539, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-25552","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-25552, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-52556","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-52556, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000110000101⩦≮⫘↔11001100110⫡⨏(⋃≮⫘↔11101101100))⪗)⇷((≮⫘↔10001010011⫉⨲⊜≮⫘↔100100100000)⇻⋧≁(≮⫘↔11110010101⨜⨶≮⫘↔111111111011)⫡⨏(≮⫘↔11010011001⪕≮⫘↔11101000000)≚⊃≕(⩷≮⫘↔10110101111))=NaN","reverse_text":"NaN=((≮⫘↔10000110000101⩦≮⫘↔11001100110⫡⨏(⋃≮⫘↔11101101100))⪗)⇷((≮⫘↔10001010011⫉⨲⊜≮⫘↔100100100000)⇻⋧≁(≮⫘↔11110010101⨜⨶≮⫘↔111111111011)⫡⨏(≮⫘↔11010011001⪕≮⫘↔11101000000)≚⊃≕(⩷≮⫘↔10110101111))","cot":[{"info":"≮⫘↔10000110000101⩦≮⫘↔11001100110=≮⫘↔100001100001010","layer":3},{"info":"⋃≮⫘↔11101101100=≮⫘↔111100111110","layer":3},{"info":"≮⫘↔100001100001010⫡⨏≮⫘↔111100111110=≮⫘↔10111000010111101","layer":2},{"info":"≮⫘↔10111000010111101⪗=NaN","layer":1},{"info":"≮⫘↔10001010011⫉⨲⊜≮⫘↔100100100000=≮⫘↔0","layer":3},{"info":"≮⫘↔11110010101⨜⨶≮⫘↔111111111011=≮⫘↔-1111011110110","layer":3},{"info":"≮⫘↔0⇻⋧≁≮⫘↔-1111011110110=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔11010011001⪕≮⫘↔11101000000=≮⫘↔100101110111","layer":3},{"info":"⩷≮⫘↔10110101111=≮⫘↔-100010010000011","layer":3},{"info":"≮⫘↔100101110111≚⊃≕≮⫘↔-100010010000011=≮⫘↔-110001111010000","layer":2},{"info":"≮⫘↔-110111111⫡⨏≮⫘↔-110001111010000=≮⫘↔-1100110101001100","layer":1},{"info":"NaN⇷≮⫘↔-1100110101001100=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"⇐((⇋⊎⋝($1551$⩍⋽⫝̸$6837$))⊨(⪭⩑⪱$1915$⪪$3893$))","expression":"⇐((⇋⊎⋝(≮⫘↔11000001111⩍⋽⫝̸≮⫘↔1101010110101))⊨(⪭⩑⪱≮⫘↔11101111011⪪≮⫘↔111100110101))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":870868,"operation_count":6,"complexity_ratio":145144.66666666666,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1551,"base":2},"right_expr":{"type":"numeric_atoms","value":6837,"base":2}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1915,"base":2},"right_expr":{"type":"numeric_atoms","value":3893,"base":2}}}}},"used_operators":["nmZMaaE0Q9","vg4gO5BX6G","CzM2PEoXns","BiWNJpBvwn","SIgE0bArFf","xD69zh8xqp"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","dWAJyo7jo9","Ph9nP6C5qx","xUOZtlo3hN","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1551","layer":4},{"info":"number node, value=6837","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=6837, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=5891","layer":3},{"info":"compute unary expreesion, input=5891, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1915","layer":4},{"info":"number node, value=3893","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=3893, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-285254","layer":3},{"info":"compute unary expreesion, input=-285254, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇐((⇋⊎⋝(≮⫘↔11000001111⩍⋽⫝̸≮⫘↔1101010110101))⊨(⪭⩑⪱≮⫘↔11101111011⪪≮⫘↔111100110101))=NaN","reverse_text":"NaN=⇐((⇋⊎⋝(≮⫘↔11000001111⩍⋽⫝̸≮⫘↔1101010110101))⊨(⪭⩑⪱≮⫘↔11101111011⪪≮⫘↔111100110101))","cot":[{"info":"≮⫘↔11000001111⩍⋽⫝̸≮⫘↔1101010110101=≮⫘↔1011100000011","layer":3},{"info":"⇋⊎⋝≮⫘↔1011100000011=NaN","layer":2},{"info":"≮⫘↔11101111011⪪≮⫘↔111100110101=≮⫘↔-1000101101001000110","layer":3},{"info":"⪭⩑⪱≮⫘↔-1000101101001000110=≮⫘↔11111101111011011110000","layer":2},{"info":"NaN⊨≮⫘↔11111101111011011110000=NaN","layer":1},{"info":"⇐NaN=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"(↓⇌($6238$⫥∨⫟$3294$⇼⇔∾$6530$⪔$2325$))⨜⨶((⪓⩚$3286$⨑⩅≇$5913$)⨭⪣($2665$≃$1003$⫚↹⊑$1608$⨔⇊$1772$))","expression":"(↓⇌(≮⫘↔1100001011110⫥∨⫟≮⫘↔110011011110⇼⇔∾≮⫘↔1100110000010⪔≮⫘↔100100010101))⨜⨶((⪓⩚≮⫘↔110011010110⨑⩅≇≮⫘↔1011100011001)⨭⪣(≮⫘↔101001101001≃≮⫘↔1111101011⫚↹⊑≮⫘↔11001001000⨔⇊≮⫘↔11011101100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11998,"operation_count":11,"complexity_ratio":1090.7272727272727,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6238,"base":2},"right_expr":{"type":"numeric_atoms","value":3294,"base":2}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":6530,"base":2},"right_expr":{"type":"numeric_atoms","value":2325,"base":2}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3286,"base":2},"right_expr":{"type":"numeric_atoms","value":5913,"base":2}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2665,"base":2},"right_expr":{"type":"numeric_atoms","value":1003,"base":2}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1608,"base":2},"right_expr":{"type":"numeric_atoms","value":1772,"base":2}}}}},"used_operators":["HiPekx5b7W","PxpmPgHHJV","tifHPKVTfV","KYD54nUTWz","GjBEYRfMaF","kn8WO9XteQ","u0R0Locfp2","h92wMvzauj","dfKe02y8D2","YbVcJGFEVW","JclMnS0uGI"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6238","layer":4},{"info":"number node, value=3294","layer":4},{"info":"compute binary expreesion, left_input=6238, right_input=3294, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6530","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=6530, right_input=2325, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":1},{"info":"number node, value=3286","layer":4},{"info":"number node, value=5913","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=5913, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-9858","layer":3},{"info":"compute unary expreesion, input=-9858, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=2665","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=2665, right_input=1003, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-10700","layer":3},{"info":"number node, value=1608","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=1772, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1772","layer":3},{"info":"compute binary expreesion, left_input=-10700, right_input=1772, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=-447, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-853","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-853, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↓⇌(≮⫘↔1100001011110⫥∨⫟≮⫘↔110011011110⇼⇔∾≮⫘↔1100110000010⪔≮⫘↔100100010101))⨜⨶((⪓⩚≮⫘↔110011010110⨑⩅≇≮⫘↔1011100011001)⨭⪣(≮⫘↔101001101001≃≮⫘↔1111101011⫚↹⊑≮⫘↔11001001000⨔⇊≮⫘↔11011101100))=NaN","reverse_text":"NaN=(↓⇌(≮⫘↔1100001011110⫥∨⫟≮⫘↔110011011110⇼⇔∾≮⫘↔1100110000010⪔≮⫘↔100100010101))⨜⨶((⪓⩚≮⫘↔110011010110⨑⩅≇≮⫘↔1011100011001)⨭⪣(≮⫘↔101001101001≃≮⫘↔1111101011⫚↹⊑≮⫘↔11001001000⨔⇊≮⫘↔11011101100))","cot":[{"info":"≮⫘↔1100001011110⫥∨⫟≮⫘↔110011011110=NaN","layer":3},{"info":"≮⫘↔1100110000010⪔≮⫘↔100100010101=≮⫘↔111000010","layer":3},{"info":"NaN⇼⇔∾≮⫘↔111000010=NaN","layer":2},{"info":"↓⇌NaN=NaN","layer":1},{"info":"≮⫘↔110011010110⨑⩅≇≮⫘↔1011100011001=≮⫘↔-10011010000010","layer":3},{"info":"⪓⩚≮⫘↔-10011010000010=≮⫘↔110101010","layer":2},{"info":"≮⫘↔101001101001≃≮⫘↔1111101011=≮⫘↔-10100111001100","layer":3},{"info":"≮⫘↔11001001000⨔⇊≮⫘↔11011101100=≮⫘↔11011101100","layer":3},{"info":"≮⫘↔-10100111001100⫚↹⊑≮⫘↔11011101100=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔110101010⨭⪣≮⫘↔-110111111=≮⫘↔-1101010101","layer":1},{"info":"NaN⨜⨶≮⫘↔-1101010101=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"(⨰⫟⨤($1409$⊝⪿⪼$4242$)⊉↱≁($5555$⩟))∣($2883$⋹⋡⊁$6753$+⪬∐(⇋↷$4186$))⨑⩅≇($1655$⫦⪉$5002$)⊮⊟↴($6662$⇯⋐)","expression":"(⨰⫟⨤(≮⫘↔10110000001⊝⪿⪼≮⫘↔1000010010010)⊉↱≁(≮⫘↔1010110110011⩟))∣(≮⫘↔101101000011⋹⋡⊁≮⫘↔1101001100001+⪬∐(⇋↷≮⫘↔1000001011010))⨑⩅≇(≮⫘↔11001110111⫦⪉≮⫘↔1001110001010)⊮⊟↴(≮⫘↔1101000000110⇯⋐)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2474866,"operation_count":12,"complexity_ratio":206238.83333333334,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1409,"base":2},"right_expr":{"type":"numeric_atoms","value":4242,"base":2}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":5555,"base":2}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2883,"base":2},"right_expr":{"type":"numeric_atoms","value":6753,"base":2}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":4186,"base":2}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1655,"base":2},"right_expr":{"type":"numeric_atoms","value":5002,"base":2}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":6662,"base":2}}}}},"used_operators":["PPChnnnBFF","Tw270M8GLb","w2P8NbNXyL","3Oe9XWJUTD","fOIeswaMU4","h92wMvzauj","2GS7woTJqF","As8RqfVLgs","SWo3A1KBJH","QDVgd2eftb","wscyQdcy20","LkLIoiE525"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","D4vGDi5EA2","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"number node, value=4242","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=4242, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=31067","layer":3},{"info":"number node, value=5555","layer":4},{"info":"compute unary expreesion, input=5555, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-48768","layer":3},{"info":"compute binary expreesion, left_input=31067, right_input=-48768, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=603226","layer":2},{"info":"compute unary expreesion, input=603226, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2883","layer":4},{"info":"number node, value=6753","layer":4},{"info":"compute binary expreesion, left_input=2883, right_input=6753, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7503","layer":3},{"info":"number node, value=4186","layer":4},{"info":"compute unary expreesion, input=4186, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=33488","layer":3},{"info":"compute binary expreesion, left_input=7503, right_input=33488, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-22509","layer":2},{"info":"number node, value=1655","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=5002, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1590","layer":3},{"info":"number node, value=6662","layer":4},{"info":"compute unary expreesion, input=6662, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=20864","layer":3},{"info":"compute binary expreesion, left_input=1590, right_input=20864, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-22509, right_input=0, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨰⫟⨤(≮⫘↔10110000001⊝⪿⪼≮⫘↔1000010010010)⊉↱≁(≮⫘↔1010110110011⩟))∣(≮⫘↔101101000011⋹⋡⊁≮⫘↔1101001100001+⪬∐(⇋↷≮⫘↔1000001011010))⨑⩅≇(≮⫘↔11001110111⫦⪉≮⫘↔1001110001010)⊮⊟↴(≮⫘↔1101000000110⇯⋐)=NaN","reverse_text":"NaN=(⨰⫟⨤(≮⫘↔10110000001⊝⪿⪼≮⫘↔1000010010010)⊉↱≁(≮⫘↔1010110110011⩟))∣(≮⫘↔101101000011⋹⋡⊁≮⫘↔1101001100001+⪬∐(⇋↷≮⫘↔1000001011010))⨑⩅≇(≮⫘↔11001110111⫦⪉≮⫘↔1001110001010)⊮⊟↴(≮⫘↔1101000000110⇯⋐)","cot":[{"info":"≮⫘↔10110000001⊝⪿⪼≮⫘↔1000010010010=≮⫘↔111100101011011","layer":3},{"info":"≮⫘↔1010110110011⩟=≮⫘↔-1011111010000000","layer":3},{"info":"≮⫘↔111100101011011⊉↱≁≮⫘↔-1011111010000000=≮⫘↔10010011010001011010","layer":2},{"info":"⨰⫟⨤≮⫘↔10010011010001011010=NaN","layer":1},{"info":"≮⫘↔101101000011⋹⋡⊁≮⫘↔1101001100001=≮⫘↔1110101001111","layer":3},{"info":"⇋↷≮⫘↔1000001011010=≮⫘↔1000001011010000","layer":3},{"info":"≮⫘↔1110101001111+⪬∐≮⫘↔1000001011010000=≮⫘↔-101011111101101","layer":2},{"info":"≮⫘↔11001110111⫦⪉≮⫘↔1001110001010=≮⫘↔11000110110","layer":3},{"info":"≮⫘↔1101000000110⇯⋐=≮⫘↔101000110000000","layer":3},{"info":"≮⫘↔11000110110⊮⊟↴≮⫘↔101000110000000=≮⫘↔0","layer":2},{"info":"≮⫘↔-101011111101101⨑⩅≇≮⫘↔0=≮⫘↔-110111","layer":1},{"info":"NaN∣≮⫘↔-110111=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"((⨈⪑$1018$)⨳⩥⨓($1788$⨳⩥⨓$5702$))≁(($2871$⪎⩰)⫸⇳(↞≼$4347$))⊲⩕⊾($7168$⪝$2945$⇼⇔∾(⨵≀≌$1509$))⇡⇂(($1824$≓∲$4068$)⩺⪪$1721$⫰⋱$1652$)","expression":"((⨈⪑≮⫘↔1111111010)⨳⩥⨓(≮⫘↔11011111100⨳⩥⨓≮⫘↔1011001000110))≁((≮⫘↔101100110111⪎⩰)⫸⇳(↞≼≮⫘↔1000011111011))⊲⩕⊾(≮⫘↔1110000000000⪝≮⫘↔101110000001⇼⇔∾(⨵≀≌≮⫘↔10111100101))⇡⇂((≮⫘↔11100100000≓∲≮⫘↔111111100100)⩺⪪≮⫘↔11010111001⫰⋱≮⫘↔11001110100)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2840013,"operation_count":15,"complexity_ratio":189334.2,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1018,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1788,"base":2},"right_expr":{"type":"numeric_atoms","value":5702,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":2871,"base":2}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4347,"base":2}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":7168,"base":2},"right_expr":{"type":"numeric_atoms","value":2945,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1509,"base":2}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1824,"base":2},"right_expr":{"type":"numeric_atoms","value":4068,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1721,"base":2},"right_expr":{"type":"numeric_atoms","value":1652,"base":2}}}}},"used_operators":["DmTXOeWf9t","8N2wDY1A35","nCS4ZIUYfx","mp94q5OcYM","gx7XJ7hdpj","2ufhKmSs5H","DE7zCoGJt9","UMwdvZNt44","tifHPKVTfV","wicAB68Tmb","srAu1WTS94","uvdQJvN4PV","s1XTVnmDOJ","6o9Blt3TJ6"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","rysDP5nf3Z","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1788","layer":4},{"info":"number node, value=5702","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=5702, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3914","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=3914, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3046","layer":2},{"info":"number node, value=2871","layer":4},{"info":"compute unary expreesion, input=2871, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=4347","layer":4},{"info":"compute unary expreesion, input=4347, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=34362","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=34362, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3046, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":1},{"info":"number node, value=7168","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=7168, right_input=2945, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-17291","layer":3},{"info":"number node, value=1509","layer":4},{"info":"compute unary expreesion, input=1509, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4527","layer":3},{"info":"compute binary expreesion, left_input=-17291, right_input=-4527, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=12764","layer":2},{"info":"number node, value=1824","layer":4},{"info":"number node, value=4068","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=4068, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=19023","layer":3},{"info":"number node, value=1721","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=1652, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1688","layer":3},{"info":"compute binary expreesion, left_input=19023, right_input=-1688, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-332274","layer":2},{"info":"compute binary expreesion, left_input=12764, right_input=-332274, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8941, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨈⪑≮⫘↔1111111010)⨳⩥⨓(≮⫘↔11011111100⨳⩥⨓≮⫘↔1011001000110))≁((≮⫘↔101100110111⪎⩰)⫸⇳(↞≼≮⫘↔1000011111011))⊲⩕⊾(≮⫘↔1110000000000⪝≮⫘↔101110000001⇼⇔∾(⨵≀≌≮⫘↔10111100101))⇡⇂((≮⫘↔11100100000≓∲≮⫘↔111111100100)⩺⪪≮⫘↔11010111001⫰⋱≮⫘↔11001110100)=NaN","reverse_text":"NaN=((⨈⪑≮⫘↔1111111010)⨳⩥⨓(≮⫘↔11011111100⨳⩥⨓≮⫘↔1011001000110))≁((≮⫘↔101100110111⪎⩰)⫸⇳(↞≼≮⫘↔1000011111011))⊲⩕⊾(≮⫘↔1110000000000⪝≮⫘↔101110000001⇼⇔∾(⨵≀≌≮⫘↔10111100101))⇡⇂((≮⫘↔11100100000≓∲≮⫘↔111111100100)⩺⪪≮⫘↔11010111001⫰⋱≮⫘↔11001110100)","cot":[{"info":"⨈⪑≮⫘↔1111111010=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔11011111100⨳⩥⨓≮⫘↔1011001000110=≮⫘↔111101001010","layer":3},{"info":"≮⫘↔1101100100⨳⩥⨓≮⫘↔111101001010=≮⫘↔101111100110","layer":2},{"info":"≮⫘↔101100110111⪎⩰=≮⫘↔-100010","layer":3},{"info":"↞≼≮⫘↔1000011111011=≮⫘↔1000011000111010","layer":3},{"info":"≮⫘↔-100010⫸⇳≮⫘↔1000011000111010=≮⫘↔0","layer":2},{"info":"≮⫘↔101111100110≁≮⫘↔0=≮⫘↔-10001011101101","layer":1},{"info":"≮⫘↔1110000000000⪝≮⫘↔101110000001=≮⫘↔-100001110001011","layer":3},{"info":"⨵≀≌≮⫘↔10111100101=≮⫘↔-1000110101111","layer":3},{"info":"≮⫘↔-100001110001011⇼⇔∾≮⫘↔-1000110101111=≮⫘↔11000111011100","layer":2},{"info":"≮⫘↔11100100000≓∲≮⫘↔111111100100=≮⫘↔100101001001111","layer":3},{"info":"≮⫘↔11010111001⫰⋱≮⫘↔11001110100=≮⫘↔-11010011000","layer":3},{"info":"≮⫘↔100101001001111⩺⪪≮⫘↔-11010011000=≮⫘↔-1010001000111110010","layer":2},{"info":"≮⫘↔11000111011100⇡⇂≮⫘↔-1010001000111110010=NaN","layer":1},{"info":"≮⫘↔-10001011101101⊲⩕⊾NaN=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"((($1544$⨻⩈⩔$2818$)⫽⇹≛)⊋≦⊧(∂⩏⊆$5451$)⫉⨲⊜($3636$⫒⫫$5075$))⫭","expression":"(((≮⫘↔11000001000⨻⩈⩔≮⫘↔101100000010)⫽⇹≛)⊋≦⊧(∂⩏⊆≮⫘↔1010101001011)⫉⨲⊜(≮⫘↔111000110100⫒⫫≮⫘↔1001111010011))⫭","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49490,"operation_count":7,"complexity_ratio":7070.0,"tree":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1544,"base":2},"right_expr":{"type":"numeric_atoms","value":2818,"base":2}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":5451,"base":2}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3636,"base":2},"right_expr":{"type":"numeric_atoms","value":5075,"base":2}}}}},"used_operators":["t4WUHVGj7f","oRDoc9rAEX","NNaDxxp6OQ","nEsXyWgiOK","WhqkvtTD3t","8WDwsbhb0R","6Ko8hGgeMq"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eewbuw0ToL","zVYPLywUTj","14qkJME0vr","eLAdDNolq6","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=2818, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=3951","layer":3},{"info":"compute unary expreesion, input=3951, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=5451","layer":4},{"info":"compute unary expreesion, input=5451, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-16432","layer":3},{"info":"number node, value=3636","layer":4},{"info":"number node, value=5075","layer":4},{"info":"compute binary expreesion, left_input=3636, right_input=5075, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16432, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=inf, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11000001000⨻⩈⩔≮⫘↔101100000010)⫽⇹≛)⊋≦⊧(∂⩏⊆≮⫘↔1010101001011)⫉⨲⊜(≮⫘↔111000110100⫒⫫≮⫘↔1001111010011))⫭=NaN","reverse_text":"NaN=(((≮⫘↔11000001000⨻⩈⩔≮⫘↔101100000010)⫽⇹≛)⊋≦⊧(∂⩏⊆≮⫘↔1010101001011)⫉⨲⊜(≮⫘↔111000110100⫒⫫≮⫘↔1001111010011))⫭","cot":[{"info":"≮⫘↔11000001000⨻⩈⩔≮⫘↔101100000010=≮⫘↔111101101111","layer":3},{"info":"≮⫘↔111101101111⫽⇹≛=≮⫘↔100010000","layer":2},{"info":"∂⩏⊆≮⫘↔1010101001011=≮⫘↔-100000000110000","layer":3},{"info":"≮⫘↔111000110100⫒⫫≮⫘↔1001111010011=NaN","layer":3},{"info":"≮⫘↔-100000000110000⫉⨲⊜NaN=Inf","layer":2},{"info":"≮⫘↔100010000⊋≦⊧Inf=-Inf","layer":1},{"info":"-Inf⫭=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"∜⨇(∟⋨(⊖∈$2641$≁↽≥$2777$))","expression":"∜⨇(∟⋨(⊖∈≮⫘↔101001010001≁↽≥≮⫘↔101011011001))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":767002,"operation_count":4,"complexity_ratio":191750.5,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2641,"base":2},"right_expr":{"type":"numeric_atoms","value":2777,"base":2}}}}},"used_operators":["uFPyJr306J","ctOc4cKSDt","YFxL8Sc2Zy","ncHt1X6cMc"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eLAdDNolq6","tmPS8pqC7x","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2641","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=2777, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=38623","layer":3},{"info":"compute unary expreesion, input=38623, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=766866","layer":2},{"info":"compute unary expreesion, input=766866, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-766382","layer":1},{"info":"compute unary expreesion, input=-766382, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∜⨇(∟⋨(⊖∈≮⫘↔101001010001≁↽≥≮⫘↔101011011001))=NaN","reverse_text":"NaN=∜⨇(∟⋨(⊖∈≮⫘↔101001010001≁↽≥≮⫘↔101011011001))","cot":[{"info":"≮⫘↔101001010001≁↽≥≮⫘↔101011011001=≮⫘↔1001011011011111","layer":3},{"info":"⊖∈≮⫘↔1001011011011111=≮⫘↔10111011001110010010","layer":2},{"info":"∟⋨≮⫘↔10111011001110010010=≮⫘↔-10111011000110101110","layer":1},{"info":"∜⨇≮⫘↔-10111011000110101110=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"($1608$⋅⇍$1051$⋻⩜⩜($2278$⨶))⩚⊴⇥($7408$↼⊘⨖$4686$)⋥⋵⩄($2343$-$2335$)⨑≵⋬(↩($5142$⫡⨏$2137$))⫸⇳($3762$↤⩊$1534$)⨂≜($2414$⫃⨇$1797$)","expression":"(≮⫘↔11001001000⋅⇍≮⫘↔10000011011⋻⩜⩜(≮⫘↔100011100110⨶))⩚⊴⇥(≮⫘↔1110011110000↼⊘⨖≮⫘↔1001001001110)⋥⋵⩄(≮⫘↔100100100111-≮⫘↔100100011111)⨑≵⋬(↩(≮⫘↔1010000010110⫡⨏≮⫘↔100001011001))⫸⇳(≮⫘↔111010110010↤⩊≮⫘↔10111111110)⨂≜(≮⫘↔100101101110⫃⨇≮⫘↔11100000101)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":429,"operation_count":14,"complexity_ratio":30.642857142857142,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1608,"base":2},"right_expr":{"type":"numeric_atoms","value":1051,"base":2}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":2278,"base":2}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":7408,"base":2},"right_expr":{"type":"numeric_atoms","value":4686,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2343,"base":2},"right_expr":{"type":"numeric_atoms","value":2335,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5142,"base":2},"right_expr":{"type":"numeric_atoms","value":2137,"base":2}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3762,"base":2},"right_expr":{"type":"numeric_atoms","value":1534,"base":2}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2414,"base":2},"right_expr":{"type":"numeric_atoms","value":1797,"base":2}}}}},"used_operators":["XnXgA4xnOs","NTOWxs364D","oDCm7WA9JY","AdZkA7nFnk","rFxw8gIMmB","7t3wd0Fuz7","bPywburJMS","rysDP5nf3Z","gx7XJ7hdpj","jLgFTUHLKL","QMFrweE19q","k1SHOSEABc","13rbtpv6ld","09Ly4LVMIf"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","f6k1SAg4EE","Qy55tPpLXF","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≮⫘↔-10001001110011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1608","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=1051, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2278","layer":4},{"info":"compute unary expreesion, input=2278, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=2810","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=2810, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2012","layer":2},{"info":"number node, value=7408","layer":4},{"info":"number node, value=4686","layer":4},{"info":"compute binary expreesion, left_input=7408, right_input=4686, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9150","layer":3},{"info":"number node, value=2343","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=2335, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8","layer":3},{"info":"compute binary expreesion, left_input=9150, right_input=8, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=2012, right_input=113, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2246","layer":1},{"info":"number node, value=5142","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=5142, right_input=2137, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30767","layer":3},{"info":"compute unary expreesion, input=30767, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-243356","layer":2},{"info":"number node, value=3762","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=1534, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2414","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=1797, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7220","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7220, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-243356, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-2246, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-8819","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11001001000⋅⇍≮⫘↔10000011011⋻⩜⩜(≮⫘↔100011100110⨶))⩚⊴⇥(≮⫘↔1110011110000↼⊘⨖≮⫘↔1001001001110)⋥⋵⩄(≮⫘↔100100100111-≮⫘↔100100011111)⨑≵⋬(↩(≮⫘↔1010000010110⫡⨏≮⫘↔100001011001))⫸⇳(≮⫘↔111010110010↤⩊≮⫘↔10111111110)⨂≜(≮⫘↔100101101110⫃⨇≮⫘↔11100000101)=≮⫘↔-10001001110011","reverse_text":"≮⫘↔-10001001110011=(≮⫘↔11001001000⋅⇍≮⫘↔10000011011⋻⩜⩜(≮⫘↔100011100110⨶))⩚⊴⇥(≮⫘↔1110011110000↼⊘⨖≮⫘↔1001001001110)⋥⋵⩄(≮⫘↔100100100111-≮⫘↔100100011111)⨑≵⋬(↩(≮⫘↔1010000010110⫡⨏≮⫘↔100001011001))⫸⇳(≮⫘↔111010110010↤⩊≮⫘↔10111111110)⨂≜(≮⫘↔100101101110⫃⨇≮⫘↔11100000101)","cot":[{"info":"≮⫘↔11001001000⋅⇍≮⫘↔10000011011=≮⫘↔-10110","layer":3},{"info":"≮⫘↔100011100110⨶=≮⫘↔101011111010","layer":3},{"info":"≮⫘↔-10110⋻⩜⩜≮⫘↔101011111010=≮⫘↔11111011100","layer":2},{"info":"≮⫘↔1110011110000↼⊘⨖≮⫘↔1001001001110=≮⫘↔10001110111110","layer":3},{"info":"≮⫘↔100100100111-≮⫘↔100100011111=≮⫘↔1000","layer":3},{"info":"≮⫘↔10001110111110⋥⋵⩄≮⫘↔1000=≮⫘↔1110001","layer":2},{"info":"≮⫘↔11111011100⩚⊴⇥≮⫘↔1110001=≮⫘↔-100011000110","layer":1},{"info":"≮⫘↔1010000010110⫡⨏≮⫘↔100001011001=≮⫘↔111100000101111","layer":3},{"info":"↩≮⫘↔111100000101111=≮⫘↔-111011011010011100","layer":2},{"info":"≮⫘↔111010110010↤⩊≮⫘↔10111111110=NaN","layer":3},{"info":"≮⫘↔100101101110⫃⨇≮⫘↔11100000101=≮⫘↔-1110000110100","layer":3},{"info":"NaN⨂≜≮⫘↔-1110000110100=NaN","layer":2},{"info":"≮⫘↔-111011011010011100⫸⇳NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔-100011000110⨑≵⋬≮⫘↔0=≮⫘↔-10001001110011","layer":0}]}
{"id":931,"expression_no_base_symbol":"($1197$⫞⩸⩒$1983$⇌⫙⪟(⇾⩊⇾$2017$)⩹(⇨(⫶⊄≣$3639$)))⫸⊐(⇘($7724$⩨$2446$))⇷(($5042$⇌⫙⪟$3911$)⩁)","expression":"(≮⫘↔10010101101⫞⩸⩒≮⫘↔11110111111⇌⫙⪟(⇾⩊⇾≮⫘↔11111100001)⩹(⇨(⫶⊄≣≮⫘↔111000110111)))⫸⊐(⇘(≮⫘↔1111000101100⩨≮⫘↔100110001110))⇷((≮⫘↔1001110110010⇌⫙⪟≮⫘↔111101000111)⩁)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29527,"operation_count":12,"complexity_ratio":2460.5833333333335,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1197,"base":2},"right_expr":{"type":"numeric_atoms","value":1983,"base":2}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2017,"base":2}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":3639,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7724,"base":2},"right_expr":{"type":"numeric_atoms","value":2446,"base":2}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":5042,"base":2},"right_expr":{"type":"numeric_atoms","value":3911,"base":2}}}}},"used_operators":["mqXw5SEYmG","2Wsdkap16l","AFVx7xoS7T","XGcMNugi78","bx9Z9DAK5y","G9tJMlZ94a","wxb3vTeyAj","mp7IySMOzn","MGuIdZPyUC","2DlMacCsIx","5GqDbVmqXU"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","k8jYdgA6NY","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA"],"result":"≮⫘↔111100010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1197","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1983, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1983","layer":3},{"info":"number node, value=2017","layer":4},{"info":"compute unary expreesion, input=2017, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-24639","layer":3},{"info":"compute binary expreesion, left_input=1983, right_input=-24639, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=119265","layer":2},{"info":"number node, value=3639","layer":4},{"info":"compute unary expreesion, input=3639, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=238423969","layer":3},{"info":"compute unary expreesion, input=238423969, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=119265, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":1},{"info":"number node, value=7724","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=7724, right_input=2446, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1835","layer":2},{"info":"number node, value=5042","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=5042, right_input=3911, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-113","layer":2},{"info":"compute binary expreesion, left_input=-1835, right_input=-113, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=482","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010101101⫞⩸⩒≮⫘↔11110111111⇌⫙⪟(⇾⩊⇾≮⫘↔11111100001)⩹(⇨(⫶⊄≣≮⫘↔111000110111)))⫸⊐(⇘(≮⫘↔1111000101100⩨≮⫘↔100110001110))⇷((≮⫘↔1001110110010⇌⫙⪟≮⫘↔111101000111)⩁)=≮⫘↔111100010","reverse_text":"≮⫘↔111100010=(≮⫘↔10010101101⫞⩸⩒≮⫘↔11110111111⇌⫙⪟(⇾⩊⇾≮⫘↔11111100001)⩹(⇨(⫶⊄≣≮⫘↔111000110111)))⫸⊐(⇘(≮⫘↔1111000101100⩨≮⫘↔100110001110))⇷((≮⫘↔1001110110010⇌⫙⪟≮⫘↔111101000111)⩁)","cot":[{"info":"≮⫘↔10010101101⫞⩸⩒≮⫘↔11110111111=≮⫘↔11110111111","layer":3},{"info":"⇾⩊⇾≮⫘↔11111100001=≮⫘↔-110000000111111","layer":3},{"info":"≮⫘↔11110111111⇌⫙⪟≮⫘↔-110000000111111=≮⫘↔11101000111100001","layer":2},{"info":"⫶⊄≣≮⫘↔111000110111=≮⫘↔1110001101100000111110100001","layer":3},{"info":"⇨≮⫘↔1110001101100000111110100001=≮⫘↔0","layer":2},{"info":"≮⫘↔11101000111100001⩹≮⫘↔0=≮⫘↔-10","layer":1},{"info":"≮⫘↔1111000101100⩨≮⫘↔100110001110=≮⫘↔0","layer":3},{"info":"⇘≮⫘↔0=≮⫘↔-11100101011","layer":2},{"info":"≮⫘↔1001110110010⇌⫙⪟≮⫘↔111101000111=≮⫘↔1110001","layer":3},{"info":"≮⫘↔1110001⩁=≮⫘↔-1110001","layer":2},{"info":"≮⫘↔-11100101011⇷≮⫘↔-1110001=NaN","layer":1},{"info":"≮⫘↔-10⫸⊐NaN=≮⫘↔111100010","layer":0}]}
{"id":932,"expression_no_base_symbol":"⫵↿((⊿$1899$⨼⩣$1656$)⋳⪒((⪸$1147$)⫚↹⊑($4561$⪣⫩)))","expression":"⫵↿((⊿≮⫘↔11101101011⨼⩣≮⫘↔11001111000)⋳⪒((⪸≮⫘↔10001111011)⫚↹⊑(≮⫘↔1000111010001⪣⫩)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":474,"operation_count":7,"complexity_ratio":67.71428571428571,"tree":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1899,"base":2},"right_expr":{"type":"numeric_atoms","value":1656,"base":2}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1147,"base":2}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":4561,"base":2}}}}},"used_operators":["ivGwdmUAux","12rbrZMWeM","DO4fhlbJSI","JxwMv5le6e","dfKe02y8D2","86A5ENbKR9","iuk5sVOGFA"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"≮⫘↔10001001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1899","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=1656, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":2},{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-19290","layer":3},{"info":"number node, value=4561","layer":4},{"info":"compute unary expreesion, input=4561, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=13650","layer":3},{"info":"compute binary expreesion, left_input=-19290, right_input=13650, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":2,"result_base":2,"text":"⫵↿((⊿≮⫘↔11101101011⨼⩣≮⫘↔11001111000)⋳⪒((⪸≮⫘↔10001111011)⫚↹⊑(≮⫘↔1000111010001⪣⫩)))=≮⫘↔10001001","reverse_text":"≮⫘↔10001001=⫵↿((⊿≮⫘↔11101101011⨼⩣≮⫘↔11001111000)⋳⪒((⪸≮⫘↔10001111011)⫚↹⊑(≮⫘↔1000111010001⪣⫩)))","cot":[{"info":"≮⫘↔11101101011⨼⩣≮⫘↔11001111000=NaN","layer":3},{"info":"⊿NaN=NaN","layer":2},{"info":"⪸≮⫘↔10001111011=≮⫘↔-100101101011010","layer":3},{"info":"≮⫘↔1000111010001⪣⫩=≮⫘↔11010101010010","layer":3},{"info":"≮⫘↔-100101101011010⫚↹⊑≮⫘↔11010101010010=≮⫘↔-110111111","layer":2},{"info":"NaN⋳⪒≮⫘↔-110111111=NaN","layer":1},{"info":"⫵↿NaN=≮⫘↔10001001","layer":0}]}
{"id":933,"expression_no_base_symbol":"(($1575$⪔⊥$2041$)⪎↠($5400$≒∊$1247$)≓∲($5666$⇼⇔∾$4082$)⨜⨶(⨝⨆$3624$))∀⇚≩($1902$↓$1074$⫰⋱(⊀$4124$))⋣⋖(($5066$≥⨤⩑$1140$)⫠)","expression":"((≮⫘↔11000100111⪔⊥≮⫘↔11111111001)⪎↠(≮⫘↔1010100011000≒∊≮⫘↔10011011111)≓∲(≮⫘↔1011000100010⇼⇔∾≮⫘↔111111110010)⨜⨶(⨝⨆≮⫘↔111000101000))∀⇚≩(≮⫘↔11101101110↓≮⫘↔10000110010⫰⋱(⊀≮⫘↔1000000011100))⋣⋖((≮⫘↔1001111001010≥⨤⩑≮⫘↔10001110100)⫠)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1348725,"operation_count":14,"complexity_ratio":96337.5,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1575,"base":2},"right_expr":{"type":"numeric_atoms","value":2041,"base":2}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5400,"base":2},"right_expr":{"type":"numeric_atoms","value":1247,"base":2}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5666,"base":2},"right_expr":{"type":"numeric_atoms","value":4082,"base":2}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":3624,"base":2}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1902,"base":2},"right_expr":{"type":"numeric_atoms","value":1074,"base":2}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":4124,"base":2}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5066,"base":2},"right_expr":{"type":"numeric_atoms","value":1140,"base":2}}}}},"used_operators":["LRNGc0VcxI","s1XTVnmDOJ","3tVxb0NHM4","HJ9erzHUuu","5KTvxBwnZo","HiPekx5b7W","tifHPKVTfV","bQ67fsrMVf","J0M6qkBnIM","6o9Blt3TJ6","Af076pWI7l","oPMjh9089D","6SnOT2rOjz","gJLn6v0xnP"],"dependent_operators":["X99M06cbEe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1575","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=2041, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2019","layer":3},{"info":"number node, value=5400","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=5400, right_input=1247, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4916","layer":3},{"info":"compute binary expreesion, left_input=2019, right_input=-4916, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=5666","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=5666, right_input=4082, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1584","layer":3},{"info":"number node, value=3624","layer":4},{"info":"compute unary expreesion, input=3624, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3415","layer":3},{"info":"compute binary expreesion, left_input=-1584, right_input=3415, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6574","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-6574, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=187993","layer":1},{"info":"number node, value=1902","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=1074, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=4124","layer":4},{"info":"compute unary expreesion, input=4124, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=16234","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=16234, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=167","layer":2},{"info":"number node, value=5066","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=1140, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=167, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=167","layer":1},{"info":"compute binary expreesion, left_input=187993, right_input=167, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11000100111⪔⊥≮⫘↔11111111001)⪎↠(≮⫘↔1010100011000≒∊≮⫘↔10011011111)≓∲(≮⫘↔1011000100010⇼⇔∾≮⫘↔111111110010)⨜⨶(⨝⨆≮⫘↔111000101000))∀⇚≩(≮⫘↔11101101110↓≮⫘↔10000110010⫰⋱(⊀≮⫘↔1000000011100))⋣⋖((≮⫘↔1001111001010≥⨤⩑≮⫘↔10001110100)⫠)=NaN","reverse_text":"NaN=((≮⫘↔11000100111⪔⊥≮⫘↔11111111001)⪎↠(≮⫘↔1010100011000≒∊≮⫘↔10011011111)≓∲(≮⫘↔1011000100010⇼⇔∾≮⫘↔111111110010)⨜⨶(⨝⨆≮⫘↔111000101000))∀⇚≩(≮⫘↔11101101110↓≮⫘↔10000110010⫰⋱(⊀≮⫘↔1000000011100))⋣⋖((≮⫘↔1001111001010≥⨤⩑≮⫘↔10001110100)⫠)","cot":[{"info":"≮⫘↔11000100111⪔⊥≮⫘↔11111111001=≮⫘↔11111100011","layer":3},{"info":"≮⫘↔1010100011000≒∊≮⫘↔10011011111=≮⫘↔-1001100110100","layer":3},{"info":"≮⫘↔11111100011⪎↠≮⫘↔-1001100110100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1011000100010⇼⇔∾≮⫘↔111111110010=≮⫘↔-11000110000","layer":3},{"info":"⨝⨆≮⫘↔111000101000=≮⫘↔110101010111","layer":3},{"info":"≮⫘↔-11000110000⨜⨶≮⫘↔110101010111=≮⫘↔-1100110101110","layer":2},{"info":"≮⫘↔10100000≓∲≮⫘↔-1100110101110=≮⫘↔101101111001011001","layer":1},{"info":"≮⫘↔11101101110↓≮⫘↔10000110010=≮⫘↔-10000110","layer":3},{"info":"⊀≮⫘↔1000000011100=≮⫘↔11111101101010","layer":3},{"info":"≮⫘↔-10000110⫰⋱≮⫘↔11111101101010=≮⫘↔10100111","layer":2},{"info":"≮⫘↔1001111001010≥⨤⩑≮⫘↔10001110100=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011010010⫠=≮⫘↔0","layer":2},{"info":"≮⫘↔10100111⋣⋖≮⫘↔0=≮⫘↔10100111","layer":1},{"info":"≮⫘↔101101111001011001∀⇚≩≮⫘↔10100111=NaN","layer":0}]}
{"id":934,"expression_no_base_symbol":"(((⩩$2979$)∕⩚($4122$⇆⨓≜))⇀∌)∙∹∝($5533$⨿$1263$⪇≇⋚(↘$1020$))∛(↩⪖($1896$⪶≀⋏$2070$))","expression":"(((⩩≮⫘↔101110100011)∕⩚(≮⫘↔1000000011010⇆⨓≜))⇀∌)∙∹∝(≮⫘↔1010110011101⨿≮⫘↔10011101111⪇≇⋚(↘≮⫘↔1111111100))∛(↩⪖(≮⫘↔11101101000⪶≀⋏≮⫘↔100000010110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":244594,"operation_count":11,"complexity_ratio":22235.81818181818,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2979,"base":2}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":4122,"base":2}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5533,"base":2},"right_expr":{"type":"numeric_atoms","value":1263,"base":2}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1020,"base":2}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1896,"base":2},"right_expr":{"type":"numeric_atoms","value":2070,"base":2}}}}},"used_operators":["HmxsFra2vL","2k53nXOpI5","z9ffQ9n5Zr","kMhfGuqI2H","KvvgdUaMHJ","w2537kitQq","3sJ7IOPOlU","abYXlopdE0","LdNpr8hQHL","fG6uBQFnGz","zR4jO40bMj"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","Uaa54Peajs","KYD54nUTWz","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","uFcxV4UQCh","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2979","layer":4},{"info":"compute unary expreesion, input=2979, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=4122","layer":4},{"info":"compute unary expreesion, input=4122, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":1},{"info":"number node, value=5533","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=5533, right_input=1263, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=236","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=236, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1896","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=2070, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10060","layer":3},{"info":"compute unary expreesion, input=-10060, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=138646","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=138646, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-676, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(((⩩≮⫘↔101110100011)∕⩚(≮⫘↔1000000011010⇆⨓≜))⇀∌)∙∹∝(≮⫘↔1010110011101⨿≮⫘↔10011101111⪇≇⋚(↘≮⫘↔1111111100))∛(↩⪖(≮⫘↔11101101000⪶≀⋏≮⫘↔100000010110))=≮⫘↔0","reverse_text":"≮⫘↔0=(((⩩≮⫘↔101110100011)∕⩚(≮⫘↔1000000011010⇆⨓≜))⇀∌)∙∹∝(≮⫘↔1010110011101⨿≮⫘↔10011101111⪇≇⋚(↘≮⫘↔1111111100))∛(↩⪖(≮⫘↔11101101000⪶≀⋏≮⫘↔100000010110))","cot":[{"info":"⩩≮⫘↔101110100011=NaN","layer":3},{"info":"≮⫘↔1000000011010⇆⨓≜=NaN","layer":3},{"info":"NaN∕⩚NaN=≮⫘↔-111100111","layer":2},{"info":"≮⫘↔-111100111⇀∌=≮⫘↔1110001","layer":1},{"info":"≮⫘↔1010110011101⨿≮⫘↔10011101111=≮⫘↔-100111111","layer":3},{"info":"↘≮⫘↔1111111100=≮⫘↔11101100","layer":3},{"info":"≮⫘↔-100111111⪇≇⋚≮⫘↔11101100=≮⫘↔0","layer":2},{"info":"≮⫘↔11101101000⪶≀⋏≮⫘↔100000010110=≮⫘↔-10011101001100","layer":3},{"info":"↩⪖≮⫘↔-10011101001100=≮⫘↔100001110110010110","layer":2},{"info":"≮⫘↔0∛≮⫘↔100001110110010110=≮⫘↔-1010100100","layer":1},{"info":"≮⫘↔1110001∙∹∝≮⫘↔-1010100100=≮⫘↔0","layer":0}]}
{"id":935,"expression_no_base_symbol":"(⨡↴(⊲⪭$1765$)⇣⩺⋵$1221$⨿$7330$)⨐⩸⫘(($4053$∕⩚$3812$)↦)⊨((⇐$1029$)+⇶⊼($1308$≃$5205$))","expression":"(⨡↴(⊲⪭≮⫘↔11011100101)⇣⩺⋵≮⫘↔10011000101⨿≮⫘↔1110010100010)⨐⩸⫘((≮⫘↔111111010101∕⩚≮⫘↔111011100100)↦)⊨((⇐≮⫘↔10000000101)+⇶⊼(≮⫘↔10100011100≃≮⫘↔1010001010101))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4763,"operation_count":11,"complexity_ratio":433.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1765,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1221,"base":2},"right_expr":{"type":"numeric_atoms","value":7330,"base":2}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4053,"base":2},"right_expr":{"type":"numeric_atoms","value":3812,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1029,"base":2}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1308,"base":2},"right_expr":{"type":"numeric_atoms","value":5205,"base":2}}}}},"used_operators":["fu6greOZ01","liw5iZPkLH","F4yD0voBRQ","k7HXdKtiEU","abYXlopdE0","vg4gO5BX6G","fFznvYxMfW","z9ffQ9n5Zr","TpPTUOHfaN","nmZMaaE0Q9","YbVcJGFEVW"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","P8v4zCKN1o","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","i8ToyICDmI","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","AHs5Up7iyr","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1765","layer":4},{"info":"compute unary expreesion, input=1765, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1939","layer":3},{"info":"number node, value=1221","layer":4},{"info":"number node, value=7330","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=7330, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-1939, right_input=-319, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-7056","layer":2},{"info":"compute unary expreesion, input=-7056, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":1},{"info":"number node, value=4053","layer":4},{"info":"number node, value=3812","layer":4},{"info":"compute binary expreesion, left_input=4053, right_input=3812, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4056","layer":3},{"info":"compute unary expreesion, input=-4056, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-92","layer":2},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=144","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=5205","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=5205, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-5272","layer":3},{"info":"compute binary expreesion, left_input=144, right_input=-5272, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-92, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨡↴(⊲⪭≮⫘↔11011100101)⇣⩺⋵≮⫘↔10011000101⨿≮⫘↔1110010100010)⨐⩸⫘((≮⫘↔111111010101∕⩚≮⫘↔111011100100)↦)⊨((⇐≮⫘↔10000000101)+⇶⊼(≮⫘↔10100011100≃≮⫘↔1010001010101))=NaN","reverse_text":"NaN=(⨡↴(⊲⪭≮⫘↔11011100101)⇣⩺⋵≮⫘↔10011000101⨿≮⫘↔1110010100010)⨐⩸⫘((≮⫘↔111111010101∕⩚≮⫘↔111011100100)↦)⊨((⇐≮⫘↔10000000101)+⇶⊼(≮⫘↔10100011100≃≮⫘↔1010001010101))","cot":[{"info":"⊲⪭≮⫘↔11011100101=≮⫘↔-11110010011","layer":3},{"info":"≮⫘↔10011000101⨿≮⫘↔1110010100010=≮⫘↔-100111111","layer":3},{"info":"≮⫘↔-11110010011⇣⩺⋵≮⫘↔-100111111=≮⫘↔-1101110010000","layer":2},{"info":"⨡↴≮⫘↔-1101110010000=≮⫘↔-110111","layer":1},{"info":"≮⫘↔111111010101∕⩚≮⫘↔111011100100=≮⫘↔-111111011000","layer":3},{"info":"≮⫘↔-111111011000↦=≮⫘↔-1011100","layer":2},{"info":"⇐≮⫘↔10000000101=≮⫘↔10010000","layer":3},{"info":"≮⫘↔10100011100≃≮⫘↔1010001010101=≮⫘↔-1010010011000","layer":3},{"info":"≮⫘↔10010000+⇶⊼≮⫘↔-1010010011000=NaN","layer":2},{"info":"≮⫘↔-1011100⊨NaN=NaN","layer":1},{"info":"≮⫘↔-110111⨐⩸⫘NaN=NaN","layer":0}]}
{"id":936,"expression_no_base_symbol":"((⨙⪌$1502$)⫢⨠$3250$⩘$3700$+(≸≮$1813$⫗⊷⫓$1004$))∠↢((($4489$⫔⩽⩺$1641$)≀⩗∶$5947$⩘$1268$)⫻⋑⊟)","expression":"((⨙⪌≮⫘↔10111011110)⫢⨠≮⫘↔110010110010⩘≮⫘↔111001110100+(≸≮≮⫘↔11100010101⫗⊷⫓≮⫘↔1111101100))∠↢(((≮⫘↔1000110001001⫔⩽⩺≮⫘↔11001101001)≀⩗∶≮⫘↔1011100111011⩘≮⫘↔10011110100)⫻⋑⊟)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":780685,"operation_count":11,"complexity_ratio":70971.36363636363,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1502,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3250,"base":2},"right_expr":{"type":"numeric_atoms","value":3700,"base":2}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1813,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4489,"base":2},"right_expr":{"type":"numeric_atoms","value":1641,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5947,"base":2},"right_expr":{"type":"numeric_atoms","value":1268,"base":2}}}}},"used_operators":["KbjG8mgYpV","W4YGzv6Whe","xlXykHWxX1","vEGLkm4Z2k","cHh1gJQ2o6","AljMvE3RRm","zashukvMKz","o575Zjdmzy","8INZBEW696","i9eR4S00cU"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1502","layer":4},{"info":"compute unary expreesion, input=1502, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=3250","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=3700, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=160, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=1813","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=1004, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-798","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-798, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-638","layer":1},{"info":"number node, value=4489","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=4489, right_input=1641, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=5947","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=5947, right_input=1268, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-638, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨙⪌≮⫘↔10111011110)⫢⨠≮⫘↔110010110010⩘≮⫘↔111001110100+(≸≮≮⫘↔11100010101⫗⊷⫓≮⫘↔1111101100))∠↢(((≮⫘↔1000110001001⫔⩽⩺≮⫘↔11001101001)≀⩗∶≮⫘↔1011100111011⩘≮⫘↔10011110100)⫻⋑⊟)=NaN","reverse_text":"NaN=((⨙⪌≮⫘↔10111011110)⫢⨠≮⫘↔110010110010⩘≮⫘↔111001110100+(≸≮≮⫘↔11100010101⫗⊷⫓≮⫘↔1111101100))∠↢(((≮⫘↔1000110001001⫔⩽⩺≮⫘↔11001101001)≀⩗∶≮⫘↔1011100111011⩘≮⫘↔10011110100)⫻⋑⊟)","cot":[{"info":"⨙⪌≮⫘↔10111011110=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔110010110010⩘≮⫘↔111001110100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1101100100⫢⨠≮⫘↔10100000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔11100010101⫗⊷⫓≮⫘↔1111101100=≮⫘↔-10000110","layer":3},{"info":"≸≮≮⫘↔-10000110=≮⫘↔-1100011110","layer":2},{"info":"≮⫘↔10100000+≮⫘↔-1100011110=≮⫘↔-1001111110","layer":1},{"info":"≮⫘↔1000110001001⫔⩽⩺≮⫘↔11001101001=NaN","layer":3},{"info":"≮⫘↔1011100111011⩘≮⫘↔10011110100=≮⫘↔10100000","layer":3},{"info":"NaN≀⩗∶≮⫘↔10100000=NaN","layer":2},{"info":"NaN⫻⋑⊟=NaN","layer":1},{"info":"≮⫘↔-1001111110∠↢NaN=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"(((⪡⇡≛$4708$)≄⊠($6747$⩒⫫$6299$))∣(⪡⇡≛$1415$)⫗⊷⫓($3615$⫰⋱$3229$))≎⪠((⊬↢($1498$%$2128$))⋛($5491$⪘⫢$3821$)∊∟⩊($4127$∐⫣))","expression":"(((⪡⇡≛≮⫘↔1001001100100)≄⊠(≮⫘↔1101001011011⩒⫫≮⫘↔1100010011011))∣(⪡⇡≛≮⫘↔10110000111)⫗⊷⫓(≮⫘↔111000011111⫰⋱≮⫘↔110010011101))≎⪠((⊬↢(≮⫘↔10111011010%≮⫘↔100001010000))⋛(≮⫘↔1010101110011⪘⫢≮⫘↔111011101101)∊∟⩊(≮⫘↔1000000011111∐⫣))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":108652,"operation_count":14,"complexity_ratio":7760.857142857143,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":4708,"base":2}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":6747,"base":2},"right_expr":{"type":"numeric_atoms","value":6299,"base":2}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1415,"base":2}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3615,"base":2},"right_expr":{"type":"numeric_atoms","value":3229,"base":2}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1498,"base":2},"right_expr":{"type":"numeric_atoms","value":2128,"base":2}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5491,"base":2},"right_expr":{"type":"numeric_atoms","value":3821,"base":2}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":4127,"base":2}}}}},"used_operators":["aNhz54LH3e","PPChnnnBFF","vXNesLlMH1","qL4PrbW1Dq","KFSx94NKJn","zashukvMKz","6o9Blt3TJ6","YbUVn0Rbpy","WPoGxAaPR1","k8jYdgA6NY","ddLRYrp01A","oacrs7FA3X","4CyGpkTkEk"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg"],"result":"≮⫘↔100110001100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4708","layer":4},{"info":"compute unary expreesion, input=4708, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-4708","layer":3},{"info":"number node, value=6747","layer":4},{"info":"number node, value=6299","layer":4},{"info":"compute binary expreesion, left_input=6747, right_input=6299, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=6445","layer":3},{"info":"compute binary expreesion, left_input=-4708, right_input=6445, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=107788","layer":2},{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1415","layer":3},{"info":"number node, value=3615","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=3615, right_input=3229, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3582","layer":3},{"info":"compute binary expreesion, left_input=-1415, right_input=-3582, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=107788, right_input=-134, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-106831","layer":1},{"info":"number node, value=1498","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=2128, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1498","layer":3},{"info":"compute unary expreesion, input=1498, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"number node, value=5491","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=5491, right_input=3821, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10858","layer":3},{"info":"number node, value=4127","layer":4},{"info":"compute unary expreesion, input=4127, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=10858, right_input=551, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=551","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=551, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-123108","layer":1},{"info":"compute binary expreesion, left_input=-106831, right_input=-123108, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":2,"result_base":2,"text":"(((⪡⇡≛≮⫘↔1001001100100)≄⊠(≮⫘↔1101001011011⩒⫫≮⫘↔1100010011011))∣(⪡⇡≛≮⫘↔10110000111)⫗⊷⫓(≮⫘↔111000011111⫰⋱≮⫘↔110010011101))≎⪠((⊬↢(≮⫘↔10111011010%≮⫘↔100001010000))⋛(≮⫘↔1010101110011⪘⫢≮⫘↔111011101101)∊∟⩊(≮⫘↔1000000011111∐⫣))=≮⫘↔100110001100110","reverse_text":"≮⫘↔100110001100110=(((⪡⇡≛≮⫘↔1001001100100)≄⊠(≮⫘↔1101001011011⩒⫫≮⫘↔1100010011011))∣(⪡⇡≛≮⫘↔10110000111)⫗⊷⫓(≮⫘↔111000011111⫰⋱≮⫘↔110010011101))≎⪠((⊬↢(≮⫘↔10111011010%≮⫘↔100001010000))⋛(≮⫘↔1010101110011⪘⫢≮⫘↔111011101101)∊∟⩊(≮⫘↔1000000011111∐⫣))","cot":[{"info":"⪡⇡≛≮⫘↔1001001100100=≮⫘↔-1001001100100","layer":3},{"info":"≮⫘↔1101001011011⩒⫫≮⫘↔1100010011011=≮⫘↔1100100101101","layer":3},{"info":"≮⫘↔-1001001100100≄⊠≮⫘↔1100100101101=≮⫘↔11010010100001100","layer":2},{"info":"⪡⇡≛≮⫘↔10110000111=≮⫘↔-10110000111","layer":3},{"info":"≮⫘↔111000011111⫰⋱≮⫘↔110010011101=≮⫘↔-110111111110","layer":3},{"info":"≮⫘↔-10110000111⫗⊷⫓≮⫘↔-110111111110=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔11010010100001100∣≮⫘↔-10000110=≮⫘↔-11010000101001111","layer":1},{"info":"≮⫘↔10111011010%≮⫘↔100001010000=≮⫘↔10111011010","layer":3},{"info":"⊬↢≮⫘↔10111011010=≮⫘↔11011010","layer":2},{"info":"≮⫘↔1010101110011⪘⫢≮⫘↔111011101101=≮⫘↔10101001101010","layer":3},{"info":"≮⫘↔1000000011111∐⫣=≮⫘↔1000100111","layer":3},{"info":"≮⫘↔10101001101010∊∟⩊≮⫘↔1000100111=≮⫘↔1000100111","layer":2},{"info":"≮⫘↔11011010⋛≮⫘↔1000100111=≮⫘↔-11110000011100100","layer":1},{"info":"≮⫘↔-11010000101001111≎⪠≮⫘↔-11110000011100100=≮⫘↔100110001100110","layer":0}]}
{"id":938,"expression_no_base_symbol":"((≇⪴(⫶⊄≣$1349$))⇷(⇵⪽$4635$)⊉↱≁$1265$∥⊢⊲$7412$)∋($1263$≝⊿$1830$⨸⪁$2039$≀⫉$1689$⊾⪯⋞($6347$∪⫐$2424$)⩁⩘(∓⪦$2868$))","expression":"((≇⪴(⫶⊄≣≮⫘↔10101000101))⇷(⇵⪽≮⫘↔1001000011011)⊉↱≁≮⫘↔10011110001∥⊢⊲≮⫘↔1110011110100)∋(≮⫘↔10011101111≝⊿≮⫘↔11100100110⨸⪁≮⫘↔11111110111≀⫉≮⫘↔11010011001⊾⪯⋞(≮⫘↔1100011001011∪⫐≮⫘↔100101111000)⩁⩘(∓⪦≮⫘↔101100110100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1821,"operation_count":14,"complexity_ratio":130.07142857142858,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1349,"base":2}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":4635,"base":2}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1265,"base":2},"right_expr":{"type":"numeric_atoms","value":7412,"base":2}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1263,"base":2},"right_expr":{"type":"numeric_atoms","value":1830,"base":2}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2039,"base":2},"right_expr":{"type":"numeric_atoms","value":1689,"base":2}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6347,"base":2},"right_expr":{"type":"numeric_atoms","value":2424,"base":2}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2868,"base":2}}}}},"used_operators":["ukq6epAj5P","mp7IySMOzn","zoVPnxeHJ3","wxb3vTeyAj","w2P8NbNXyL","ZGCBLdVRRX","v1UQAVDJRr","HK0tfVPux8","g55IO6H4Gj","OKKcZfAt5B","oZj3VtZNQx","gub5Cegaqo","7YooWSwCyH","D309nIvmXG"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","U7g4x0WXJJ","EBcxylXtPf","rGHVDoGpnC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","12rbrZMWeM","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","IWmyXbctLI","rJVOvQCfKK","2DDjHMKMc0","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"compute unary expreesion, input=1349, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=32777389","layer":3},{"info":"compute unary expreesion, input=32777389, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-98330827","layer":2},{"info":"number node, value=4635","layer":4},{"info":"compute unary expreesion, input=4635, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1265","layer":4},{"info":"number node, value=7412","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=7412, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-98330827, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1263","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1830, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5456","layer":3},{"info":"number node, value=2039","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=2039, right_input=1689, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-5456, right_input=2822, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-5268","layer":2},{"info":"number node, value=6347","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=6347, right_input=2424, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6347","layer":3},{"info":"number node, value=2868","layer":4},{"info":"compute unary expreesion, input=2868, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2460","layer":3},{"info":"compute binary expreesion, left_input=6347, right_input=2460, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10788","layer":2},{"info":"compute binary expreesion, left_input=-5268, right_input=10788, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=21150","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=21150, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≇⪴(⫶⊄≣≮⫘↔10101000101))⇷(⇵⪽≮⫘↔1001000011011)⊉↱≁≮⫘↔10011110001∥⊢⊲≮⫘↔1110011110100)∋(≮⫘↔10011101111≝⊿≮⫘↔11100100110⨸⪁≮⫘↔11111110111≀⫉≮⫘↔11010011001⊾⪯⋞(≮⫘↔1100011001011∪⫐≮⫘↔100101111000)⩁⩘(∓⪦≮⫘↔101100110100))=NaN","reverse_text":"NaN=((≇⪴(⫶⊄≣≮⫘↔10101000101))⇷(⇵⪽≮⫘↔1001000011011)⊉↱≁≮⫘↔10011110001∥⊢⊲≮⫘↔1110011110100)∋(≮⫘↔10011101111≝⊿≮⫘↔11100100110⨸⪁≮⫘↔11111110111≀⫉≮⫘↔11010011001⊾⪯⋞(≮⫘↔1100011001011∪⫐≮⫘↔100101111000)⩁⩘(∓⪦≮⫘↔101100110100))","cot":[{"info":"⫶⊄≣≮⫘↔10101000101=≮⫘↔1111101000010010010101101","layer":3},{"info":"≇⪴≮⫘↔1111101000010010010101101=≮⫘↔-101110111000110100011001011","layer":2},{"info":"⇵⪽≮⫘↔1001000011011=NaN","layer":3},{"info":"≮⫘↔10011110001∥⊢⊲≮⫘↔1110011110100=NaN","layer":3},{"info":"NaN⊉↱≁NaN=NaN","layer":2},{"info":"≮⫘↔-101110111000110100011001011⇷NaN=NaN","layer":1},{"info":"≮⫘↔10011101111≝⊿≮⫘↔11100100110=≮⫘↔-1010101010000","layer":3},{"info":"≮⫘↔11111110111≀⫉≮⫘↔11010011001=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔-1010101010000⨸⪁≮⫘↔101100000110=≮⫘↔-1010010010100","layer":2},{"info":"≮⫘↔1100011001011∪⫐≮⫘↔100101111000=≮⫘↔1100011001011","layer":3},{"info":"∓⪦≮⫘↔101100110100=≮⫘↔100110011100","layer":3},{"info":"≮⫘↔1100011001011⩁⩘≮⫘↔100110011100=≮⫘↔10101000100100","layer":2},{"info":"≮⫘↔-1010010010100⊾⪯⋞≮⫘↔10101000100100=≮⫘↔101001010011110","layer":1},{"info":"NaN∋≮⫘↔101001010011110=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"(⊁⨺(∂$4483$))⇻⋧≁(⊿$5891$⫦⪉$6765$)⇉⇱⇎","expression":"(⊁⨺(∂≮⫘↔1000110000011))⇻⋧≁(⊿≮⫘↔1011100000011⫦⪉≮⫘↔1101001101101)⇉⇱⇎","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":284,"operation_count":6,"complexity_ratio":47.333333333333336,"tree":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4483,"base":2}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5891,"base":2},"right_expr":{"type":"numeric_atoms","value":6765,"base":2}}}}},"used_operators":["MRPaB8lBjK","jCPkEVoL5K","PxiHyQbrIp","Uaa54Peajs","DO4fhlbJSI","wscyQdcy20"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4483","layer":4},{"info":"compute unary expreesion, input=4483, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=5891","layer":4},{"info":"number node, value=6765","layer":4},{"info":"compute binary expreesion, left_input=5891, right_input=6765, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6882","layer":3},{"info":"compute unary expreesion, input=-6882, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=28914","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=28914, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊁⨺(∂≮⫘↔1000110000011))⇻⋧≁(⊿≮⫘↔1011100000011⫦⪉≮⫘↔1101001101101)⇉⇱⇎=NaN","reverse_text":"NaN=(⊁⨺(∂≮⫘↔1000110000011))⇻⋧≁(⊿≮⫘↔1011100000011⫦⪉≮⫘↔1101001101101)⇉⇱⇎","cot":[{"info":"∂≮⫘↔1000110000011=NaN","layer":3},{"info":"⊁⨺NaN=NaN","layer":2},{"info":"≮⫘↔1011100000011⫦⪉≮⫘↔1101001101101=≮⫘↔-1101011100010","layer":3},{"info":"⊿≮⫘↔-1101011100010=≮⫘↔111000011110010","layer":2},{"info":"NaN⇻⋧≁≮⫘↔111000011110010=NaN","layer":1},{"info":"NaN⇉⇱⇎=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"($2752$⫗⊷⫓$1401$⪒⊣⊆($1002$∌$1534$)⪉⨛((≑⋹$1538$)⇯⋐))⪔⊥(($5631$⇴∐$1256$⊉≛↸$3870$⩖⊿$1325$)∷)","expression":"(≮⫘↔101011000000⫗⊷⫓≮⫘↔10101111001⪒⊣⊆(≮⫘↔1111101010∌≮⫘↔10111111110)⪉⨛((≑⋹≮⫘↔11000000010)⇯⋐))⪔⊥((≮⫘↔1010111111111⇴∐≮⫘↔10011101000⊉≛↸≮⫘↔111100011110⩖⊿≮⫘↔10100101101)∷)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1088128,"operation_count":11,"complexity_ratio":98920.72727272728,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2752,"base":2},"right_expr":{"type":"numeric_atoms","value":1401,"base":2}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1002,"base":2},"right_expr":{"type":"numeric_atoms","value":1534,"base":2}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1538,"base":2}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5631,"base":2},"right_expr":{"type":"numeric_atoms","value":1256,"base":2}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3870,"base":2},"right_expr":{"type":"numeric_atoms","value":1325,"base":2}}}}},"used_operators":["HJ9erzHUuu","EWw2JM7wp4","eRqsBgTDFp","zashukvMKz","8cLx32lpNA","LkLIoiE525","6B9nyZLogK","nFAOW8KTqp","DZ8iAZOCBD","HnzytWxmAO","RZ5CV9rWsJ"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2752","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=1401, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1534, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1534","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-1534, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-2698","layer":2},{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=5828","layer":2},{"info":"compute binary expreesion, left_input=-2698, right_input=5828, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-25363","layer":1},{"info":"number node, value=5631","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=5631, right_input=1256, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3870","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=3870, right_input=1325, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-4962","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4962, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-25363, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101011000000⫗⊷⫓≮⫘↔10101111001⪒⊣⊆(≮⫘↔1111101010∌≮⫘↔10111111110)⪉⨛((≑⋹≮⫘↔11000000010)⇯⋐))⪔⊥((≮⫘↔1010111111111⇴∐≮⫘↔10011101000⊉≛↸≮⫘↔111100011110⩖⊿≮⫘↔10100101101)∷)=NaN","reverse_text":"NaN=(≮⫘↔101011000000⫗⊷⫓≮⫘↔10101111001⪒⊣⊆(≮⫘↔1111101010∌≮⫘↔10111111110)⪉⨛((≑⋹≮⫘↔11000000010)⇯⋐))⪔⊥((≮⫘↔1010111111111⇴∐≮⫘↔10011101000⊉≛↸≮⫘↔111100011110⩖⊿≮⫘↔10100101101)∷)","cot":[{"info":"≮⫘↔101011000000⫗⊷⫓≮⫘↔10101111001=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔1111101010∌≮⫘↔10111111110=≮⫘↔-10111111110","layer":3},{"info":"≮⫘↔-10000110⪒⊣⊆≮⫘↔-10111111110=≮⫘↔-101010001010","layer":2},{"info":"≑⋹≮⫘↔11000000010=≮⫘↔11001110010","layer":3},{"info":"≮⫘↔11001110010⇯⋐=≮⫘↔1011011000100","layer":2},{"info":"≮⫘↔-101010001010⪉⨛≮⫘↔1011011000100=≮⫘↔-110001100010011","layer":1},{"info":"≮⫘↔1010111111111⇴∐≮⫘↔10011101000=NaN","layer":3},{"info":"≮⫘↔111100011110⩖⊿≮⫘↔10100101101=≮⫘↔-1001101100010","layer":3},{"info":"NaN⊉≛↸≮⫘↔-1001101100010=NaN","layer":2},{"info":"NaN∷=NaN","layer":1},{"info":"≮⫘↔-110001100010011⪔⊥NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"⩦⊞($2466$⨂≜$1966$∠⫱$5629$∛$5633$)→⨶⪴(∡$2268$∝$3486$)","expression":"⩦⊞(≮⫘↔100110100010⨂≜≮⫘↔11110101110∠⫱≮⫘↔1010111111101∛≮⫘↔1011000000001)→⨶⪴(∡≮⫘↔100011011100∝≮⫘↔110110011110)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2629,"operation_count":7,"complexity_ratio":375.57142857142856,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2466,"base":2},"right_expr":{"type":"numeric_atoms","value":1966,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5629,"base":2},"right_expr":{"type":"numeric_atoms","value":5633,"base":2}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2268,"base":2},"right_expr":{"type":"numeric_atoms","value":3486,"base":2}}}}},"used_operators":["u7fv1HBiaC","bF6eod5Gvf","QvoQhV0rrE","k1SHOSEABc","w2537kitQq","pRsWfj4Fpp","cTDWOvIxvz"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2466","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=1966, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5629","layer":4},{"info":"number node, value=5633","layer":4},{"info":"compute binary expreesion, left_input=5629, right_input=5633, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=2268","layer":4},{"info":"number node, value=3486","layer":4},{"info":"compute binary expreesion, left_input=2268, right_input=3486, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2273","layer":3},{"info":"compute unary expreesion, input=2273, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2273","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2273, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⊞(≮⫘↔100110100010⨂≜≮⫘↔11110101110∠⫱≮⫘↔1010111111101∛≮⫘↔1011000000001)→⨶⪴(∡≮⫘↔100011011100∝≮⫘↔110110011110)=NaN","reverse_text":"NaN=⩦⊞(≮⫘↔100110100010⨂≜≮⫘↔11110101110∠⫱≮⫘↔1010111111101∛≮⫘↔1011000000001)→⨶⪴(∡≮⫘↔100011011100∝≮⫘↔110110011110)","cot":[{"info":"≮⫘↔100110100010⨂≜≮⫘↔11110101110=NaN","layer":3},{"info":"≮⫘↔1010111111101∛≮⫘↔1011000000001=≮⫘↔-1010011110","layer":3},{"info":"NaN∠⫱≮⫘↔-1010011110=NaN","layer":2},{"info":"≮⫘↔100011011100∝≮⫘↔110110011110=≮⫘↔100011100001","layer":3},{"info":"∡≮⫘↔100011100001=≮⫘↔-100011100001","layer":2},{"info":"NaN→⨶⪴≮⫘↔-100011100001=NaN","layer":1},{"info":"⩦⊞NaN=NaN","layer":0}]}
{"id":942,"expression_no_base_symbol":"↸⊣(⇜⊴(⫇($3420$⩺⪪$5002$)))","expression":"↸⊣(⇜⊴(⫇(≮⫘↔110101011100⩺⪪≮⫘↔1001110001010)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":222,"operation_count":4,"complexity_ratio":55.5,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3420,"base":2},"right_expr":{"type":"numeric_atoms","value":5002,"base":2}}}}},"used_operators":["wztAlM01eG","XwDhCwWbUn","YjI8oCXuph","uvdQJvN4PV"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"≮⫘↔1010100001001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3420","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=3420, right_input=5002, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute unary expreesion, input=-1818, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-872","layer":2},{"info":"compute unary expreesion, input=-872, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-21540","layer":1},{"info":"compute unary expreesion, input=-21540, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=43080","layer":0}],"base":2,"result_base":2,"text":"↸⊣(⇜⊴(⫇(≮⫘↔110101011100⩺⪪≮⫘↔1001110001010)))=≮⫘↔1010100001001000","reverse_text":"≮⫘↔1010100001001000=↸⊣(⇜⊴(⫇(≮⫘↔110101011100⩺⪪≮⫘↔1001110001010)))","cot":[{"info":"≮⫘↔110101011100⩺⪪≮⫘↔1001110001010=≮⫘↔-11100011010","layer":3},{"info":"⫇≮⫘↔-11100011010=≮⫘↔-1101101000","layer":2},{"info":"⇜⊴≮⫘↔-1101101000=≮⫘↔-101010000100100","layer":1},{"info":"↸⊣≮⫘↔-101010000100100=≮⫘↔1010100001001000","layer":0}]}
{"id":943,"expression_no_base_symbol":"$3705$⪃⊛⇣$2389$⨂≜(⨛$1812$)≨($7734$≄⊠$5956$⫸⊐($1621$⇋≉))∪⫐((⊤⊝$4067$)⇟⨁⪰)⇻⋧≁(($1251$⨥⫆$3936$)⨎⋸⪻)","expression":"≮⫘↔111001111001⪃⊛⇣≮⫘↔100101010101⨂≜(⨛≮⫘↔11100010100)≨(≮⫘↔1111000110110≄⊠≮⫘↔1011101000100⫸⊐(≮⫘↔11001010101⇋≉))∪⫐((⊤⊝≮⫘↔111111100011)⇟⨁⪰)⇻⋧≁((≮⫘↔10011100011⨥⫆≮⫘↔111101100000)⨎⋸⪻)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2231,"operation_count":13,"complexity_ratio":171.6153846153846,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3705,"base":2},"right_expr":{"type":"numeric_atoms","value":2389,"base":2}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1812,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":7734,"base":2},"right_expr":{"type":"numeric_atoms","value":5956,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1621,"base":2}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":4067,"base":2}}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1251,"base":2},"right_expr":{"type":"numeric_atoms","value":3936,"base":2}}}}},"used_operators":["7YooWSwCyH","0KMCeP1Jsh","k1SHOSEABc","rrgAzCduG9","CoMdbyAt7R","mqXw5SEYmG","vXNesLlMH1","XIabStNQrY","jCPkEVoL5K","BX1lVwlMe0","rXAclfmB4M","Dk5vyLCiGd","yXekIHxTD4"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2DDjHMKMc0","xUOZtlo3hN","sdazOOVcIp","IWmyXbctLI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3705","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=2389, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=7734","layer":4},{"info":"number node, value=5956","layer":4},{"info":"compute binary expreesion, left_input=7734, right_input=5956, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=99964","layer":3},{"info":"number node, value=1621","layer":4},{"info":"compute unary expreesion, input=1621, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3144","layer":3},{"info":"compute binary expreesion, left_input=99964, right_input=3144, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12451","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12451, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"number node, value=4067","layer":4},{"info":"compute unary expreesion, input=4067, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=6836","layer":3},{"info":"compute unary expreesion, input=6836, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-7010","layer":2},{"info":"number node, value=1251","layer":4},{"info":"number node, value=3936","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=3936, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=7748","layer":3},{"info":"compute unary expreesion, input=7748, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=15812","layer":2},{"info":"compute binary expreesion, left_input=-7010, right_input=15812, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-66467","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-66467, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔111001111001⪃⊛⇣≮⫘↔100101010101⨂≜(⨛≮⫘↔11100010100)≨(≮⫘↔1111000110110≄⊠≮⫘↔1011101000100⫸⊐(≮⫘↔11001010101⇋≉))∪⫐((⊤⊝≮⫘↔111111100011)⇟⨁⪰)⇻⋧≁((≮⫘↔10011100011⨥⫆≮⫘↔111101100000)⨎⋸⪻)=NaN","reverse_text":"NaN=≮⫘↔111001111001⪃⊛⇣≮⫘↔100101010101⨂≜(⨛≮⫘↔11100010100)≨(≮⫘↔1111000110110≄⊠≮⫘↔1011101000100⫸⊐(≮⫘↔11001010101⇋≉))∪⫐((⊤⊝≮⫘↔111111100011)⇟⨁⪰)⇻⋧≁((≮⫘↔10011100011⨥⫆≮⫘↔111101100000)⨎⋸⪻)","cot":[{"info":"≮⫘↔111001111001⪃⊛⇣≮⫘↔100101010101=≮⫘↔10011010010","layer":3},{"info":"⨛≮⫘↔11100010100=NaN","layer":3},{"info":"≮⫘↔10011010010⨂≜NaN=NaN","layer":2},{"info":"≮⫘↔1111000110110≄⊠≮⫘↔1011101000100=≮⫘↔11000011001111100","layer":3},{"info":"≮⫘↔11001010101⇋≉=≮⫘↔110001001000","layer":3},{"info":"≮⫘↔11000011001111100⫸⊐≮⫘↔110001001000=≮⫘↔11000010100011","layer":2},{"info":"NaN≨≮⫘↔11000010100011=NaN","layer":1},{"info":"⊤⊝≮⫘↔111111100011=≮⫘↔1101010110100","layer":3},{"info":"≮⫘↔1101010110100⇟⨁⪰=≮⫘↔-1101101100010","layer":2},{"info":"≮⫘↔10011100011⨥⫆≮⫘↔111101100000=≮⫘↔1111001000100","layer":3},{"info":"≮⫘↔1111001000100⨎⋸⪻=≮⫘↔11110111000100","layer":2},{"info":"≮⫘↔-1101101100010⇻⋧≁≮⫘↔11110111000100=≮⫘↔-10000001110100011","layer":1},{"info":"NaN∪⫐≮⫘↔-10000001110100011=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"($2846$⨑⩅≇$1273$⫌⩉⩟(⇨$4680$))∊∟⩊($2430$⇤$1196$⇩)⨪↰⇹(⪫⨮⊛$6511$)⊱⇼⊻$6840$↳∿⪆$4147$⨫⇇↔(∂($2282$⪉⨛$1040$))","expression":"(≮⫘↔101100011110⨑⩅≇≮⫘↔10011111001⫌⩉⩟(⇨≮⫘↔1001001001000))∊∟⩊(≮⫘↔100101111110⇤≮⫘↔10010101100⇩)⨪↰⇹(⪫⨮⊛≮⫘↔1100101101111)⊱⇼⊻≮⫘↔1101010111000↳∿⪆≮⫘↔1000000110011⨫⇇↔(∂(≮⫘↔100011101010⪉⨛≮⫘↔10000010000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3964507,"operation_count":13,"complexity_ratio":304962.07692307694,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2846,"base":2},"right_expr":{"type":"numeric_atoms","value":1273,"base":2}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4680,"base":2}}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2430,"base":2},"right_expr":{"type":"numeric_atoms","value":1196,"base":2}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":6511,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6840,"base":2},"right_expr":{"type":"numeric_atoms","value":4147,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2282,"base":2},"right_expr":{"type":"numeric_atoms","value":1040,"base":2}}}}},"used_operators":["tmPS8pqC7x","ddLRYrp01A","XIIwhv8d0m","h92wMvzauj","G9tJMlZ94a","vRio1gEz1j","YSKBFp38Pu","LXhwmt4mBO","FyVja0WsTP","w5FWba1tyO","Cw4SuJJGHO","Uaa54Peajs","EWw2JM7wp4"],"dependent_operators":["rJVOvQCfKK","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"≮⫘↔11101101010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2846","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=2846, right_input=1273, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-8538","layer":3},{"info":"number node, value=4680","layer":4},{"info":"compute unary expreesion, input=4680, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8538, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2430","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=1196, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-15282","layer":3},{"info":"compute unary expreesion, input=-15282, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-15189","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-15189, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-15189","layer":1},{"info":"number node, value=6511","layer":4},{"info":"compute unary expreesion, input=6511, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=6840","layer":4},{"info":"number node, value=4147","layer":4},{"info":"compute binary expreesion, left_input=6840, right_input=4147, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":2},{"info":"number node, value=2282","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=1040, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6021","layer":3},{"info":"compute unary expreesion, input=6021, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-15189, right_input=-527, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=15189","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101100011110⨑⩅≇≮⫘↔10011111001⫌⩉⩟(⇨≮⫘↔1001001001000))∊∟⩊(≮⫘↔100101111110⇤≮⫘↔10010101100⇩)⨪↰⇹(⪫⨮⊛≮⫘↔1100101101111)⊱⇼⊻≮⫘↔1101010111000↳∿⪆≮⫘↔1000000110011⨫⇇↔(∂(≮⫘↔100011101010⪉⨛≮⫘↔10000010000))=≮⫘↔11101101010101","reverse_text":"≮⫘↔11101101010101=(≮⫘↔101100011110⨑⩅≇≮⫘↔10011111001⫌⩉⩟(⇨≮⫘↔1001001001000))∊∟⩊(≮⫘↔100101111110⇤≮⫘↔10010101100⇩)⨪↰⇹(⪫⨮⊛≮⫘↔1100101101111)⊱⇼⊻≮⫘↔1101010111000↳∿⪆≮⫘↔1000000110011⨫⇇↔(∂(≮⫘↔100011101010⪉⨛≮⫘↔10000010000))","cot":[{"info":"≮⫘↔101100011110⨑⩅≇≮⫘↔10011111001=≮⫘↔-10000101011010","layer":3},{"info":"⇨≮⫘↔1001001001000=≮⫘↔0","layer":3},{"info":"≮⫘↔-10000101011010⫌⩉⩟≮⫘↔0=≮⫘↔-110010","layer":2},{"info":"≮⫘↔100101111110⇤≮⫘↔10010101100=≮⫘↔-11101110110010","layer":3},{"info":"≮⫘↔-11101110110010⇩=≮⫘↔-11101101010101","layer":2},{"info":"≮⫘↔-110010∊∟⩊≮⫘↔-11101101010101=≮⫘↔-11101101010101","layer":1},{"info":"⪫⨮⊛≮⫘↔1100101101111=NaN","layer":3},{"info":"≮⫘↔1101010111000↳∿⪆≮⫘↔1000000110011=NaN","layer":3},{"info":"NaN⊱⇼⊻NaN=NaN","layer":2},{"info":"≮⫘↔100011101010⪉⨛≮⫘↔10000010000=≮⫘↔1011110000101","layer":3},{"info":"∂≮⫘↔1011110000101=NaN","layer":2},{"info":"NaN⨫⇇↔NaN=≮⫘↔-1000001111","layer":1},{"info":"≮⫘↔-11101101010101⨪↰⇹≮⫘↔-1000001111=≮⫘↔11101101010101","layer":0}]}
{"id":945,"expression_no_base_symbol":"(($1376$∌↝$1027$)∴($2221$⫌⩉⩟$2836$)≬⇓(⇵⪽($3146$⇴$6349$)))⊬⨰((($8515$∪⫐$1876$)⫰⋱($2038$+$6260$))⪪(≅≯⇸$3417$≨$4962$))","expression":"((≮⫘↔10101100000∌↝≮⫘↔10000000011)∴(≮⫘↔100010101101⫌⩉⩟≮⫘↔101100010100)≬⇓(⇵⪽(≮⫘↔110001001010⇴≮⫘↔1100011001101)))⊬⨰(((≮⫘↔10000101000011∪⫐≮⫘↔11101010100)⫰⋱(≮⫘↔11111110110+≮⫘↔1100001110100))⪪(≅≯⇸≮⫘↔110101011001≨≮⫘↔1001101100010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2060457,"operation_count":13,"complexity_ratio":158496.6923076923,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1376,"base":2},"right_expr":{"type":"numeric_atoms","value":1027,"base":2}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2221,"base":2},"right_expr":{"type":"numeric_atoms","value":2836,"base":2}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3146,"base":2},"right_expr":{"type":"numeric_atoms","value":6349,"base":2}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":8515,"base":2},"right_expr":{"type":"numeric_atoms","value":1876,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2038,"base":2},"right_expr":{"type":"numeric_atoms","value":6260,"base":2}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3417,"base":2},"right_expr":{"type":"numeric_atoms","value":4962,"base":2}}}}},"used_operators":["s3Fd5m9Dh2","jWTQ2TZYIH","hrf7POJlIJ","9Isq31Ruls","XIIwhv8d0m","ZGCBLdVRRX","4JB6nKBMSY","xD69zh8xqp","6o9Blt3TJ6","7YooWSwCyH","W4YGzv6Whe","apS25hmuAe","0KMCeP1Jsh"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","U7g4x0WXJJ","sdazOOVcIp","NTOWxs364D","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rJVOvQCfKK","2DDjHMKMc0","EBcxylXtPf","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"≮⫘↔-10111001100111010010011111010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=1027, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2221","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=2836, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":2},{"info":"number node, value=3146","layer":4},{"info":"number node, value=6349","layer":4},{"info":"compute binary expreesion, left_input=3146, right_input=6349, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=31188","layer":3},{"info":"compute unary expreesion, input=31188, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1648, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-2221","layer":1},{"info":"number node, value=8515","layer":4},{"info":"number node, value=1876","layer":4},{"info":"compute binary expreesion, left_input=8515, right_input=1876, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=8515","layer":3},{"info":"number node, value=2038","layer":4},{"info":"number node, value=6260","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=6260, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8298","layer":3},{"info":"compute binary expreesion, left_input=8515, right_input=8298, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-8482","layer":2},{"info":"number node, value=3417","layer":4},{"info":"number node, value=4962","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=4962, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-31694","layer":3},{"info":"compute unary expreesion, input=-31694, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-119099","layer":2},{"info":"compute binary expreesion, left_input=-8482, right_input=-119099, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-97314024","layer":1},{"info":"compute binary expreesion, left_input=-2221, right_input=-97314024, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-389260538","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101100000∌↝≮⫘↔10000000011)∴(≮⫘↔100010101101⫌⩉⩟≮⫘↔101100010100)≬⇓(⇵⪽(≮⫘↔110001001010⇴≮⫘↔1100011001101)))⊬⨰(((≮⫘↔10000101000011∪⫐≮⫘↔11101010100)⫰⋱(≮⫘↔11111110110+≮⫘↔1100001110100))⪪(≅≯⇸≮⫘↔110101011001≨≮⫘↔1001101100010))=≮⫘↔-10111001100111010010011111010","reverse_text":"≮⫘↔-10111001100111010010011111010=((≮⫘↔10101100000∌↝≮⫘↔10000000011)∴(≮⫘↔100010101101⫌⩉⩟≮⫘↔101100010100)≬⇓(⇵⪽(≮⫘↔110001001010⇴≮⫘↔1100011001101)))⊬⨰(((≮⫘↔10000101000011∪⫐≮⫘↔11101010100)⫰⋱(≮⫘↔11111110110+≮⫘↔1100001110100))⪪(≅≯⇸≮⫘↔110101011001≨≮⫘↔1001101100010))","cot":[{"info":"≮⫘↔10101100000∌↝≮⫘↔10000000011=≮⫘↔0","layer":3},{"info":"≮⫘↔100010101101⫌⩉⩟≮⫘↔101100010100=≮⫘↔-110010","layer":3},{"info":"≮⫘↔0∴≮⫘↔-110010=≮⫘↔11001110000","layer":2},{"info":"≮⫘↔110001001010⇴≮⫘↔1100011001101=≮⫘↔111100111010100","layer":3},{"info":"⇵⪽≮⫘↔111100111010100=NaN","layer":2},{"info":"≮⫘↔11001110000≬⇓NaN=≮⫘↔-100010101101","layer":1},{"info":"≮⫘↔10000101000011∪⫐≮⫘↔11101010100=≮⫘↔10000101000011","layer":3},{"info":"≮⫘↔11111110110+≮⫘↔1100001110100=≮⫘↔10000001101010","layer":3},{"info":"≮⫘↔10000101000011⫰⋱≮⫘↔10000001101010=≮⫘↔-10000100100010","layer":2},{"info":"≮⫘↔110101011001≨≮⫘↔1001101100010=≮⫘↔-111101111001110","layer":3},{"info":"≅≯⇸≮⫘↔-111101111001110=≮⫘↔-11101000100111011","layer":2},{"info":"≮⫘↔-10000100100010⪪≮⫘↔-11101000100111011=≮⫘↔-101110011001110010011101000","layer":1},{"info":"≮⫘↔-100010101101⊬⨰≮⫘↔-101110011001110010011101000=≮⫘↔-10111001100111010010011111010","layer":0}]}
{"id":946,"expression_no_base_symbol":"(($4586$⫡⨏$3399$)⋝⋈⪟$1482$⨼⩣$2524$⨸⪁(≻⋜$6489$)∛(⨑⩽⪐$8755$))⇷(∟⋨(↯⪼$1247$∘$3803$))","expression":"((≮⫘↔1000111101010⫡⨏≮⫘↔110101000111)⋝⋈⪟≮⫘↔10111001010⨼⩣≮⫘↔100111011100⨸⪁(≻⋜≮⫘↔1100101011001)∛(⨑⩽⪐≮⫘↔10001000110011))⇷(∟⋨(↯⪼≮⫘↔10011011111∘≮⫘↔111011011011))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33911,"operation_count":11,"complexity_ratio":3082.818181818182,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4586,"base":2},"right_expr":{"type":"numeric_atoms","value":3399,"base":2}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1482,"base":2},"right_expr":{"type":"numeric_atoms","value":2524,"base":2}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":6489,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8755,"base":2}}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1247,"base":2},"right_expr":{"type":"numeric_atoms","value":3803,"base":2}}}}},"used_operators":["mp7IySMOzn","g55IO6H4Gj","2DDjHMKMc0","QMFrweE19q","JxwMv5le6e","w2537kitQq","3tj9sqzovi","AF7qkfDlqP","ctOc4cKSDt","8jW3W4yZS5","Z5m6OM72h2"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eLAdDNolq6","tmPS8pqC7x","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eH2TOUuTDT","rysDP5nf3Z"],"result":"≮⫘↔1110011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4586","layer":4},{"info":"number node, value=3399","layer":4},{"info":"compute binary expreesion, left_input=4586, right_input=3399, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30511","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=2524, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=30511, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=6489","layer":4},{"info":"compute unary expreesion, input=6489, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=8755","layer":4},{"info":"compute unary expreesion, input=8755, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8482","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8482, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1247","layer":4},{"info":"number node, value=3803","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=3803, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2494","layer":3},{"info":"compute unary expreesion, input=2494, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=463","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=463, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=926","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000111101010⫡⨏≮⫘↔110101000111)⋝⋈⪟≮⫘↔10111001010⨼⩣≮⫘↔100111011100⨸⪁(≻⋜≮⫘↔1100101011001)∛(⨑⩽⪐≮⫘↔10001000110011))⇷(∟⋨(↯⪼≮⫘↔10011011111∘≮⫘↔111011011011))=≮⫘↔1110011110","reverse_text":"≮⫘↔1110011110=((≮⫘↔1000111101010⫡⨏≮⫘↔110101000111)⋝⋈⪟≮⫘↔10111001010⨼⩣≮⫘↔100111011100⨸⪁(≻⋜≮⫘↔1100101011001)∛(⨑⩽⪐≮⫘↔10001000110011))⇷(∟⋨(↯⪼≮⫘↔10011011111∘≮⫘↔111011011011))","cot":[{"info":"≮⫘↔1000111101010⫡⨏≮⫘↔110101000111=≮⫘↔111011100101111","layer":3},{"info":"≮⫘↔10111001010⨼⩣≮⫘↔100111011100=NaN","layer":3},{"info":"≮⫘↔111011100101111⋝⋈⪟NaN=NaN","layer":2},{"info":"≻⋜≮⫘↔1100101011001=NaN","layer":3},{"info":"⨑⩽⪐≮⫘↔10001000110011=≮⫘↔-10000100100010","layer":3},{"info":"NaN∛≮⫘↔-10000100100010=≮⫘↔1000011","layer":2},{"info":"NaN⨸⪁≮⫘↔1000011=NaN","layer":1},{"info":"≮⫘↔10011011111∘≮⫘↔111011011011=≮⫘↔100110111110","layer":3},{"info":"↯⪼≮⫘↔100110111110=≮⫘↔-10101","layer":2},{"info":"∟⋨≮⫘↔-10101=≮⫘↔111001111","layer":1},{"info":"NaN⇷≮⫘↔111001111=≮⫘↔1110011110","layer":0}]}
{"id":947,"expression_no_base_symbol":"(($3466$⊉↱≁$1199$)⪎↠$2464$⫗⊷⫓$1070$⨻⩈⩔($3244$⪥$1348$)≌($7348$∓⋝$1005$))⪔⊥(⩦⊞(($1000$∖$5774$)⪕($1003$⩨$7679$)))","expression":"((≮⫘↔110110001010⊉↱≁≮⫘↔10010101111)⪎↠≮⫘↔100110100000⫗⊷⫓≮⫘↔10000101110⨻⩈⩔(≮⫘↔110010101100⪥≮⫘↔10101000100)≌(≮⫘↔1110010110100∓⋝≮⫘↔1111101101))⪔⊥(⩦⊞((≮⫘↔1111101000∖≮⫘↔1011010001110)⪕(≮⫘↔1111101011⩨≮⫘↔1110111111111)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":836645,"operation_count":12,"complexity_ratio":69720.41666666667,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3466,"base":2},"right_expr":{"type":"numeric_atoms","value":1199,"base":2}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2464,"base":2},"right_expr":{"type":"numeric_atoms","value":1070,"base":2}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3244,"base":2},"right_expr":{"type":"numeric_atoms","value":1348,"base":2}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":7348,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1000,"base":2},"right_expr":{"type":"numeric_atoms","value":5774,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1003,"base":2},"right_expr":{"type":"numeric_atoms","value":7679,"base":2}}}}},"used_operators":["HJ9erzHUuu","nEsXyWgiOK","3tVxb0NHM4","w2P8NbNXyL","zashukvMKz","lyWz822IDG","QbnwKVWMIQ","PoHhknlbAi","u7fv1HBiaC","umQnsF7QlU","tXD093vOjl","2DlMacCsIx"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≮⫘↔1111001101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3466","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=3466, right_input=1199, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=27414","layer":3},{"info":"number node, value=2464","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=1070, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=27414, right_input=-134, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=3244","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=1348, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=17628","layer":3},{"info":"number node, value=7348","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=7348, right_input=1005, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=17628, right_input=67, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9360","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=9360, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=1000","layer":4},{"info":"number node, value=5774","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=5774, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=7679","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=7679, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=922","layer":2},{"info":"compute unary expreesion, input=922, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-649","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-649, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=973","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110110001010⊉↱≁≮⫘↔10010101111)⪎↠≮⫘↔100110100000⫗⊷⫓≮⫘↔10000101110⨻⩈⩔(≮⫘↔110010101100⪥≮⫘↔10101000100)≌(≮⫘↔1110010110100∓⋝≮⫘↔1111101101))⪔⊥(⩦⊞((≮⫘↔1111101000∖≮⫘↔1011010001110)⪕(≮⫘↔1111101011⩨≮⫘↔1110111111111)))=≮⫘↔1111001101","reverse_text":"≮⫘↔1111001101=((≮⫘↔110110001010⊉↱≁≮⫘↔10010101111)⪎↠≮⫘↔100110100000⫗⊷⫓≮⫘↔10000101110⨻⩈⩔(≮⫘↔110010101100⪥≮⫘↔10101000100)≌(≮⫘↔1110010110100∓⋝≮⫘↔1111101101))⪔⊥(⩦⊞((≮⫘↔1111101000∖≮⫘↔1011010001110)⪕(≮⫘↔1111101011⩨≮⫘↔1110111111111)))","cot":[{"info":"≮⫘↔110110001010⊉↱≁≮⫘↔10010101111=≮⫘↔110101100010110","layer":3},{"info":"≮⫘↔100110100000⫗⊷⫓≮⫘↔10000101110=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔110101100010110⪎↠≮⫘↔-10000110=≮⫘↔10100000","layer":2},{"info":"≮⫘↔110010101100⪥≮⫘↔10101000100=≮⫘↔100010011011100","layer":3},{"info":"≮⫘↔1110010110100∓⋝≮⫘↔1111101101=≮⫘↔1000011","layer":3},{"info":"≮⫘↔100010011011100≌≮⫘↔1000011=≮⫘↔10010010010000","layer":2},{"info":"≮⫘↔10100000⨻⩈⩔≮⫘↔10010010010000=≮⫘↔-10101110","layer":1},{"info":"≮⫘↔1111101000∖≮⫘↔1011010001110=≮⫘↔0","layer":3},{"info":"≮⫘↔1111101011⩨≮⫘↔1110111111111=≮⫘↔-10101","layer":3},{"info":"≮⫘↔0⪕≮⫘↔-10101=≮⫘↔1110011010","layer":2},{"info":"⩦⊞≮⫘↔1110011010=≮⫘↔-1010001001","layer":1},{"info":"≮⫘↔-10101110⪔⊥≮⫘↔-1010001001=≮⫘↔1111001101","layer":0}]}
{"id":948,"expression_no_base_symbol":"(($7501$⇷$1010$)≝⊿($3708$⫸⇳$3746$)⇼⇔∾($2974$∑⇟⊟$3826$⫳≱↱$2088$≭$2154$))⫒⫫((($3363$⊋≦⊧$1453$)⪕($1108$⨳⩥⨓$4120$))⊟⇱)","expression":"((≮⫘↔1110101001101⇷≮⫘↔1111110010)≝⊿(≮⫘↔111001111100⫸⇳≮⫘↔111010100010)⇼⇔∾(≮⫘↔101110011110∑⇟⊟≮⫘↔111011110010⫳≱↱≮⫘↔100000101000≭≮⫘↔100001101010))⫒⫫(((≮⫘↔110100100011⊋≦⊧≮⫘↔10110101101)⪕(≮⫘↔10001010100⨳⩥⨓≮⫘↔1000000011000))⊟⇱)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":105163,"operation_count":12,"complexity_ratio":8763.583333333334,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7501,"base":2},"right_expr":{"type":"numeric_atoms","value":1010,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3708,"base":2},"right_expr":{"type":"numeric_atoms","value":3746,"base":2}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2974,"base":2},"right_expr":{"type":"numeric_atoms","value":3826,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2088,"base":2},"right_expr":{"type":"numeric_atoms","value":2154,"base":2}}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3363,"base":2},"right_expr":{"type":"numeric_atoms","value":1453,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1108,"base":2},"right_expr":{"type":"numeric_atoms","value":4120,"base":2}}}}},"used_operators":["6Ko8hGgeMq","tifHPKVTfV","OKKcZfAt5B","mp7IySMOzn","gx7XJ7hdpj","ZvLB05nZmT","U7g4x0WXJJ","rxpJgHHUmx","03sUfWo75k","umQnsF7QlU","oRDoc9rAEX","nCS4ZIUYfx"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","IWmyXbctLI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7501","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=7501, right_input=1010, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2020","layer":3},{"info":"number node, value=3708","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=3708, right_input=3746, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2020, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-2553","layer":2},{"info":"number node, value=2974","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=3826, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2088","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=2154, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2553, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3363","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=1453, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2666","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=4120","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=4120, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3012","layer":3},{"info":"compute binary expreesion, left_input=-2666, right_input=3012, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=206","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=206, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110101001101⇷≮⫘↔1111110010)≝⊿(≮⫘↔111001111100⫸⇳≮⫘↔111010100010)⇼⇔∾(≮⫘↔101110011110∑⇟⊟≮⫘↔111011110010⫳≱↱≮⫘↔100000101000≭≮⫘↔100001101010))⫒⫫(((≮⫘↔110100100011⊋≦⊧≮⫘↔10110101101)⪕(≮⫘↔10001010100⨳⩥⨓≮⫘↔1000000011000))⊟⇱)=NaN","reverse_text":"NaN=((≮⫘↔1110101001101⇷≮⫘↔1111110010)≝⊿(≮⫘↔111001111100⫸⇳≮⫘↔111010100010)⇼⇔∾(≮⫘↔101110011110∑⇟⊟≮⫘↔111011110010⫳≱↱≮⫘↔100000101000≭≮⫘↔100001101010))⫒⫫(((≮⫘↔110100100011⊋≦⊧≮⫘↔10110101101)⪕(≮⫘↔10001010100⨳⩥⨓≮⫘↔1000000011000))⊟⇱)","cot":[{"info":"≮⫘↔1110101001101⇷≮⫘↔1111110010=≮⫘↔11111100100","layer":3},{"info":"≮⫘↔111001111100⫸⇳≮⫘↔111010100010=≮⫘↔0","layer":3},{"info":"≮⫘↔11111100100≝⊿≮⫘↔0=≮⫘↔-100111111001","layer":2},{"info":"≮⫘↔101110011110∑⇟⊟≮⫘↔111011110010=NaN","layer":3},{"info":"≮⫘↔100000101000≭≮⫘↔100001101010=NaN","layer":3},{"info":"NaN⫳≱↱NaN=NaN","layer":2},{"info":"≮⫘↔-100111111001⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔110100100011⊋≦⊧≮⫘↔10110101101=≮⫘↔-101001101010","layer":3},{"info":"≮⫘↔10001010100⨳⩥⨓≮⫘↔1000000011000=≮⫘↔101111000100","layer":3},{"info":"≮⫘↔-101001101010⪕≮⫘↔101111000100=≮⫘↔-110111","layer":2},{"info":"≮⫘↔-110111⊟⇱=≮⫘↔11001110","layer":1},{"info":"NaN⫒⫫≮⫘↔11001110=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"⩪∧⨌(($8026$⪁$1602$)⨌↪)⫸⇳$5847$⇂≾⫗$4224$⊬⨰(⊲⪭$6810$)","expression":"⩪∧⨌((≮⫘↔1111101011010⪁≮⫘↔11001000010)⨌↪)⫸⇳≮⫘↔1011011010111⇂≾⫗≮⫘↔1000010000000⊬⨰(⊲⪭≮⫘↔1101010011010)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37682099,"operation_count":7,"complexity_ratio":5383157.0,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":8026,"base":2},"right_expr":{"type":"numeric_atoms","value":1602,"base":2}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5847,"base":2},"right_expr":{"type":"numeric_atoms","value":4224,"base":2}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":6810,"base":2}}}}},"used_operators":["6iOiAJX1F8","gx7XJ7hdpj","cWQsF5MvuD","I7sXao9hZE","s3Fd5m9Dh2","aBQ6xLxuTc","k7HXdKtiEU"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","i8ToyICDmI","xUOZtlo3hN"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8026","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=8026, right_input=1602, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"number node, value=5847","layer":4},{"info":"number node, value=4224","layer":4},{"info":"compute binary expreesion, left_input=5847, right_input=4224, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=6810","layer":4},{"info":"compute unary expreesion, input=6810, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-6984","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-6984, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-29288","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=-29288, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"⩪∧⨌((≮⫘↔1111101011010⪁≮⫘↔11001000010)⨌↪)⫸⇳≮⫘↔1011011010111⇂≾⫗≮⫘↔1000010000000⊬⨰(⊲⪭≮⫘↔1101010011010)=≮⫘↔0","reverse_text":"≮⫘↔0=⩪∧⨌((≮⫘↔1111101011010⪁≮⫘↔11001000010)⨌↪)⫸⇳≮⫘↔1011011010111⇂≾⫗≮⫘↔1000010000000⊬⨰(⊲⪭≮⫘↔1101010011010)","cot":[{"info":"≮⫘↔1111101011010⪁≮⫘↔11001000010=NaN","layer":3},{"info":"NaN⨌↪=≮⫘↔-111100000","layer":2},{"info":"≮⫘↔1011011010111⇂≾⫗≮⫘↔1000010000000=≮⫘↔-1010100100","layer":3},{"info":"⊲⪭≮⫘↔1101010011010=≮⫘↔-1101101001000","layer":3},{"info":"≮⫘↔-1010100100⊬⨰≮⫘↔-1101101001000=≮⫘↔-111001001101000","layer":2},{"info":"≮⫘↔-111100000⫸⇳≮⫘↔-111001001101000=≮⫘↔0","layer":1},{"info":"⩪∧⨌≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":950,"expression_no_base_symbol":"⪨⨬(($1838$≀⩗∶$1353$)≳⇉$2584$↳∿⪆$1025$)⊮⊟↴(∜⨇(≻⋜$1176$))","expression":"⪨⨬((≮⫘↔11100101110≀⩗∶≮⫘↔10101001001)≳⇉≮⫘↔101000011000↳∿⪆≮⫘↔10000000001)⊮⊟↴(∜⨇(≻⋜≮⫘↔10010011000))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10413,"operation_count":7,"complexity_ratio":1487.5714285714287,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1838,"base":2},"right_expr":{"type":"numeric_atoms","value":1353,"base":2}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2584,"base":2},"right_expr":{"type":"numeric_atoms","value":1025,"base":2}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1176,"base":2}}}}},"used_operators":["5obUd6DV38","QDVgd2eftb","V0kx6qeWkN","8INZBEW696","Cw4SuJJGHO","uFPyJr306J","3tj9sqzovi"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=1353, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2584","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=1025, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪨⨬((≮⫘↔11100101110≀⩗∶≮⫘↔10101001001)≳⇉≮⫘↔101000011000↳∿⪆≮⫘↔10000000001)⊮⊟↴(∜⨇(≻⋜≮⫘↔10010011000))=NaN","reverse_text":"NaN=⪨⨬((≮⫘↔11100101110≀⩗∶≮⫘↔10101001001)≳⇉≮⫘↔101000011000↳∿⪆≮⫘↔10000000001)⊮⊟↴(∜⨇(≻⋜≮⫘↔10010011000))","cot":[{"info":"≮⫘↔11100101110≀⩗∶≮⫘↔10101001001=≮⫘↔0","layer":3},{"info":"≮⫘↔101000011000↳∿⪆≮⫘↔10000000001=NaN","layer":3},{"info":"≮⫘↔0≳⇉NaN=NaN","layer":2},{"info":"≻⋜≮⫘↔10010011000=NaN","layer":3},{"info":"∜⨇NaN=NaN","layer":2},{"info":"NaN⊮⊟↴NaN=NaN","layer":1},{"info":"⪨⨬NaN=NaN","layer":0}]}
{"id":951,"expression_no_base_symbol":"⨆≐≲((($1372$⊧↖)≄⊠(⨈⪑$1913$))⊉↱≁($1265$⇟⨁⪰)≁↽≥($3040$⇤$2872$))","expression":"⨆≐≲(((≮⫘↔10101011100⊧↖)≄⊠(⨈⪑≮⫘↔11101111001))⊉↱≁(≮⫘↔10011110001⇟⨁⪰)≁↽≥(≮⫘↔101111100000⇤≮⫘↔101100111000))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28466,"operation_count":8,"complexity_ratio":3558.25,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1372,"base":2}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1913,"base":2}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1265,"base":2}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3040,"base":2},"right_expr":{"type":"numeric_atoms","value":2872,"base":2}}}}},"used_operators":["Bi9z9uYZqW","w2P8NbNXyL","vXNesLlMH1","EKiFHuOFxO","mp94q5OcYM","ncHt1X6cMc","BX1lVwlMe0","YSKBFp38Pu"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","oWn0xqSxBt","3Oe9XWJUTD","2DDjHMKMc0","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≮⫘↔1111000001110001110101001011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=11299664","layer":3},{"info":"number node, value=1913","layer":4},{"info":"compute unary expreesion, input=1913, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=11299664, right_input=868, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=18556","layer":2},{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1439","layer":3},{"info":"number node, value=3040","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=3040, right_input=2872, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-26712","layer":3},{"info":"compute binary expreesion, left_input=-1439, right_input=-26712, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute binary expreesion, left_input=18556, right_input=196, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=184332","layer":1},{"info":"compute unary expreesion, input=184332, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=2016995928","layer":0}],"base":2,"result_base":2,"text":"⨆≐≲(((≮⫘↔10101011100⊧↖)≄⊠(⨈⪑≮⫘↔11101111001))⊉↱≁(≮⫘↔10011110001⇟⨁⪰)≁↽≥(≮⫘↔101111100000⇤≮⫘↔101100111000))=≮⫘↔1111000001110001110101001011000","reverse_text":"≮⫘↔1111000001110001110101001011000=⨆≐≲(((≮⫘↔10101011100⊧↖)≄⊠(⨈⪑≮⫘↔11101111001))⊉↱≁(≮⫘↔10011110001⇟⨁⪰)≁↽≥(≮⫘↔101111100000⇤≮⫘↔101100111000))","cot":[{"info":"≮⫘↔10101011100⊧↖=≮⫘↔101011000110101101010000","layer":3},{"info":"⨈⪑≮⫘↔11101111001=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔101011000110101101010000≄⊠≮⫘↔1101100100=≮⫘↔100100001111100","layer":2},{"info":"≮⫘↔10011110001⇟⨁⪰=≮⫘↔-10110011111","layer":3},{"info":"≮⫘↔101111100000⇤≮⫘↔101100111000=≮⫘↔-110100001011000","layer":3},{"info":"≮⫘↔-10110011111≁↽≥≮⫘↔-110100001011000=≮⫘↔11000100","layer":2},{"info":"≮⫘↔100100001111100⊉↱≁≮⫘↔11000100=≮⫘↔101101000000001100","layer":1},{"info":"⨆≐≲≮⫘↔101101000000001100=≮⫘↔1111000001110001110101001011000","layer":0}]}
{"id":952,"expression_no_base_symbol":"(($1400$⇮⋭$1758$⩹$1200$∣$2356$)*($1351$⫦⪉$6031$)⨂≜($4826$⪄$1413$))⩌⋺((($1608$⨲)⩘⨬⇊)⨭⪣((⫖→$6058$)≃⋄))","expression":"((≮⫘↔10101111000⇮⋭≮⫘↔11011011110⩹≮⫘↔10010110000∣≮⫘↔100100110100)*(≮⫘↔10101000111⫦⪉≮⫘↔1011110001111)⨂≜(≮⫘↔1001011011010⪄≮⫘↔10110000101))⩌⋺(((≮⫘↔11001001000⨲)⩘⨬⇊)⨭⪣((⫖→≮⫘↔1011110101010)≃⋄))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":477770685,"operation_count":13,"complexity_ratio":36751591.15384615,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1400,"base":2},"right_expr":{"type":"numeric_atoms","value":1758,"base":2}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1200,"base":2},"right_expr":{"type":"numeric_atoms","value":2356,"base":2}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1351,"base":2},"right_expr":{"type":"numeric_atoms","value":6031,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4826,"base":2},"right_expr":{"type":"numeric_atoms","value":1413,"base":2}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":1608,"base":2}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":6058,"base":2}}}}},"used_operators":["g7Hmc5v1ko","9HNa5Wba9A","2Wsdkap16l","vkpjKywKVM","PPChnnnBFF","k1SHOSEABc","wscyQdcy20","SUmda5xLS4","kn8WO9XteQ","XXmTpEpWTW","nLYMGWM7L8","aN9a90urxU","U4ylXWHChL"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","uFcxV4UQCh","jLgFTUHLKL","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=1758, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1200","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=2356, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1200","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=1200, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1198","layer":2},{"info":"number node, value=1351","layer":4},{"info":"number node, value=6031","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=6031, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2198","layer":3},{"info":"number node, value=4826","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=4826, right_input=1413, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-715989","layer":3},{"info":"compute binary expreesion, left_input=2198, right_input=-715989, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=282838285","layer":3},{"info":"compute unary expreesion, input=282838285, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"number node, value=6058","layer":4},{"info":"compute unary expreesion, input=6058, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=2180","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2180, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101111000⇮⋭≮⫘↔11011011110⩹≮⫘↔10010110000∣≮⫘↔100100110100)*(≮⫘↔10101000111⫦⪉≮⫘↔1011110001111)⨂≜(≮⫘↔1001011011010⪄≮⫘↔10110000101))⩌⋺(((≮⫘↔11001001000⨲)⩘⨬⇊)⨭⪣((⫖→≮⫘↔1011110101010)≃⋄))=NaN","reverse_text":"NaN=((≮⫘↔10101111000⇮⋭≮⫘↔11011011110⩹≮⫘↔10010110000∣≮⫘↔100100110100)*(≮⫘↔10101000111⫦⪉≮⫘↔1011110001111)⨂≜(≮⫘↔1001011011010⪄≮⫘↔10110000101))⩌⋺(((≮⫘↔11001001000⨲)⩘⨬⇊)⨭⪣((⫖→≮⫘↔1011110101010)≃⋄))","cot":[{"info":"≮⫘↔10101111000⇮⋭≮⫘↔11011011110=≮⫘↔-111011001","layer":3},{"info":"≮⫘↔10010110000∣≮⫘↔100100110100=≮⫘↔10010110000","layer":3},{"info":"≮⫘↔-111011001⩹≮⫘↔10010110000=≮⫘↔10010101110","layer":2},{"info":"≮⫘↔10101000111⫦⪉≮⫘↔1011110001111=≮⫘↔100010010110","layer":3},{"info":"≮⫘↔1001011011010⪄≮⫘↔10110000101=≮⫘↔-10101110110011010101","layer":3},{"info":"≮⫘↔100010010110⨂≜≮⫘↔-10101110110011010101=NaN","layer":2},{"info":"≮⫘↔10010101110*NaN=NaN","layer":1},{"info":"≮⫘↔11001001000⨲=≮⫘↔10000110110111100010100001101","layer":3},{"info":"≮⫘↔10000110110111100010100001101⩘⨬⇊=NaN","layer":2},{"info":"⫖→≮⫘↔1011110101010=≮⫘↔10110001","layer":3},{"info":"≮⫘↔10110001≃⋄=≮⫘↔100010000100","layer":2},{"info":"NaN⨭⪣≮⫘↔100010000100=NaN","layer":1},{"info":"NaN⩌⋺NaN=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"(($1123$≃$4467$⫚↹⊑$1745$≠≀$2693$)⇮⋭(⇨($1070$⋓$5243$)))⩒⫫($6634$⨓$5606$⪍↜⋙($5069$⫚↹⊑$5982$))↳∿⪆($3749$⨥⫆$7824$→⨶⪴($2839$↱$1830$))","expression":"((≮⫘↔10001100011≃≮⫘↔1000101110011⫚↹⊑≮⫘↔11011010001≠≀≮⫘↔101010000101)⇮⋭(⇨(≮⫘↔10000101110⋓≮⫘↔1010001111011)))⩒⫫(≮⫘↔1100111101010⨓≮⫘↔1010111100110⪍↜⋙(≮⫘↔1001111001101⫚↹⊑≮⫘↔1011101011110))↳∿⪆(≮⫘↔111010100101⨥⫆≮⫘↔1111010010000→⨶⪴(≮⫘↔101100010111↱≮⫘↔11100100110))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9009,"operation_count":14,"complexity_ratio":643.5,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1123,"base":2},"right_expr":{"type":"numeric_atoms","value":4467,"base":2}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1745,"base":2},"right_expr":{"type":"numeric_atoms","value":2693,"base":2}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1070,"base":2},"right_expr":{"type":"numeric_atoms","value":5243,"base":2}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6634,"base":2},"right_expr":{"type":"numeric_atoms","value":5606,"base":2}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5069,"base":2},"right_expr":{"type":"numeric_atoms","value":5982,"base":2}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3749,"base":2},"right_expr":{"type":"numeric_atoms","value":7824,"base":2}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2839,"base":2},"right_expr":{"type":"numeric_atoms","value":1830,"base":2}}}}},"used_operators":["KFSx94NKJn","vkpjKywKVM","dfKe02y8D2","YbVcJGFEVW","IwW236VD4Y","G9tJMlZ94a","T2fj7uvVaJ","Cw4SuJJGHO","L05ObWFQCd","3ViojmjbAp","bF6eod5Gvf","yXekIHxTD4","SR5kFfdi6N"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","9FxExcQeMw","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":4},{"info":"number node, value=4467","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=4467, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4532","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=2693, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3184","layer":3},{"info":"compute binary expreesion, left_input=-4532, right_input=-3184, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=5243","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=5243, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=6634","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=6634, right_input=5606, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5609","layer":3},{"info":"number node, value=5069","layer":4},{"info":"number node, value=5982","layer":4},{"info":"compute binary expreesion, left_input=5069, right_input=5982, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-5609, right_input=-447, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=28156","layer":2},{"info":"number node, value=3749","layer":4},{"info":"number node, value=7824","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=7824, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=15524","layer":3},{"info":"number node, value=2839","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=1830, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-4968","layer":3},{"info":"compute binary expreesion, left_input=15524, right_input=-4968, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=40952","layer":2},{"info":"compute binary expreesion, left_input=28156, right_input=40952, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001100011≃≮⫘↔1000101110011⫚↹⊑≮⫘↔11011010001≠≀≮⫘↔101010000101)⇮⋭(⇨(≮⫘↔10000101110⋓≮⫘↔1010001111011)))⩒⫫(≮⫘↔1100111101010⨓≮⫘↔1010111100110⪍↜⋙(≮⫘↔1001111001101⫚↹⊑≮⫘↔1011101011110))↳∿⪆(≮⫘↔111010100101⨥⫆≮⫘↔1111010010000→⨶⪴(≮⫘↔101100010111↱≮⫘↔11100100110))=NaN","reverse_text":"NaN=((≮⫘↔10001100011≃≮⫘↔1000101110011⫚↹⊑≮⫘↔11011010001≠≀≮⫘↔101010000101)⇮⋭(⇨(≮⫘↔10000101110⋓≮⫘↔1010001111011)))⩒⫫(≮⫘↔1100111101010⨓≮⫘↔1010111100110⪍↜⋙(≮⫘↔1001111001101⫚↹⊑≮⫘↔1011101011110))↳∿⪆(≮⫘↔111010100101⨥⫆≮⫘↔1111010010000→⨶⪴(≮⫘↔101100010111↱≮⫘↔11100100110))","cot":[{"info":"≮⫘↔10001100011≃≮⫘↔1000101110011=≮⫘↔-1000110110100","layer":3},{"info":"≮⫘↔11011010001≠≀≮⫘↔101010000101=≮⫘↔-110001110000","layer":3},{"info":"≮⫘↔-1000110110100⫚↹⊑≮⫘↔-110001110000=≮⫘↔-110111111","layer":2},{"info":"≮⫘↔10000101110⋓≮⫘↔1010001111011=≮⫘↔0","layer":3},{"info":"⇨≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔-110111111⇮⋭NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1100111101010⨓≮⫘↔1010111100110=≮⫘↔-1010111101001","layer":3},{"info":"≮⫘↔1001111001101⫚↹⊑≮⫘↔1011101011110=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔-1010111101001⪍↜⋙≮⫘↔-110111111=≮⫘↔110110111111100","layer":2},{"info":"≮⫘↔111010100101⨥⫆≮⫘↔1111010010000=≮⫘↔11110010100100","layer":3},{"info":"≮⫘↔101100010111↱≮⫘↔11100100110=≮⫘↔-1001101101000","layer":3},{"info":"≮⫘↔11110010100100→⨶⪴≮⫘↔-1001101101000=≮⫘↔1001111111111000","layer":2},{"info":"≮⫘↔110110111111100↳∿⪆≮⫘↔1001111111111000=NaN","layer":1},{"info":"≮⫘↔1000011⩒⫫NaN=NaN","layer":0}]}
{"id":954,"expression_no_base_symbol":"($2919$⫢⨠$2081$↡⊰⫅$4960$↓$5904$)→⨶⪴($1392$⪝$1031$⋳⪒($1026$∛≔))⋝⋈⪟(($4404$⋣⋖$3030$↡⊰⫅$5307$⊲⩕⊾$8575$)⪄$2029$⫘$5486$≬⇓$3650$⪢$1469$)","expression":"(≮⫘↔101101100111⫢⨠≮⫘↔100000100001↡⊰⫅≮⫘↔1001101100000↓≮⫘↔1011100010000)→⨶⪴(≮⫘↔10101110000⪝≮⫘↔10000000111⋳⪒(≮⫘↔10000000010∛≔))⋝⋈⪟((≮⫘↔1000100110100⋣⋖≮⫘↔101111010110↡⊰⫅≮⫘↔1010010111011⊲⩕⊾≮⫘↔10000101111111)⪄≮⫘↔11111101101⫘≮⫘↔1010101101110≬⇓≮⫘↔111001000010⪢≮⫘↔10110111101)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2432748,"operation_count":15,"complexity_ratio":162183.2,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2919,"base":2},"right_expr":{"type":"numeric_atoms","value":2081,"base":2}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4960,"base":2},"right_expr":{"type":"numeric_atoms","value":5904,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1392,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1026,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4404,"base":2},"right_expr":{"type":"numeric_atoms","value":3030,"base":2}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5307,"base":2},"right_expr":{"type":"numeric_atoms","value":8575,"base":2}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2029,"base":2},"right_expr":{"type":"numeric_atoms","value":5486,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3650,"base":2},"right_expr":{"type":"numeric_atoms","value":1469,"base":2}}}}},"used_operators":["2DDjHMKMc0","bF6eod5Gvf","VCtxkLNOzz","xlXykHWxX1","Af076pWI7l","12rbrZMWeM","wicAB68Tmb","mGnSCrte3L","SUmda5xLS4","J0M6qkBnIM","DmTXOeWf9t","jWTQ2TZYIH","48vC8HMD2b","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","k8jYdgA6NY"],"result":"≮⫘↔-11011100101100000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2919","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=2919, right_input=2081, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=4960","layer":4},{"info":"number node, value=5904","layer":4},{"info":"compute binary expreesion, left_input=4960, right_input=5904, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-134, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=1392","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=1031, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1843","layer":3},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":3},{"info":"compute binary expreesion, left_input=-1843, right_input=-305287, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=301314","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=301314, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-903942","layer":1},{"info":"number node, value=4404","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=4404, right_input=3030, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4404","layer":3},{"info":"number node, value=5307","layer":4},{"info":"number node, value=8575","layer":4},{"info":"compute binary expreesion, left_input=5307, right_input=8575, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-167292","layer":3},{"info":"compute binary expreesion, left_input=4404, right_input=-167292, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=2029","layer":4},{"info":"number node, value=5486","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=5486, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2390509","layer":3},{"info":"number node, value=3650","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=1469, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2390509, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-2391082","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2391082, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-903942, right_input=3979, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-903942","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101101100111⫢⨠≮⫘↔100000100001↡⊰⫅≮⫘↔1001101100000↓≮⫘↔1011100010000)→⨶⪴(≮⫘↔10101110000⪝≮⫘↔10000000111⋳⪒(≮⫘↔10000000010∛≔))⋝⋈⪟((≮⫘↔1000100110100⋣⋖≮⫘↔101111010110↡⊰⫅≮⫘↔1010010111011⊲⩕⊾≮⫘↔10000101111111)⪄≮⫘↔11111101101⫘≮⫘↔1010101101110≬⇓≮⫘↔111001000010⪢≮⫘↔10110111101)=≮⫘↔-11011100101100000110","reverse_text":"≮⫘↔-11011100101100000110=(≮⫘↔101101100111⫢⨠≮⫘↔100000100001↡⊰⫅≮⫘↔1001101100000↓≮⫘↔1011100010000)→⨶⪴(≮⫘↔10101110000⪝≮⫘↔10000000111⋳⪒(≮⫘↔10000000010∛≔))⋝⋈⪟((≮⫘↔1000100110100⋣⋖≮⫘↔101111010110↡⊰⫅≮⫘↔1010010111011⊲⩕⊾≮⫘↔10000101111111)⪄≮⫘↔11111101101⫘≮⫘↔1010101101110≬⇓≮⫘↔111001000010⪢≮⫘↔10110111101)","cot":[{"info":"≮⫘↔101101100111⫢⨠≮⫘↔100000100001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1001101100000↓≮⫘↔1011100010000=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔10100000↡⊰⫅≮⫘↔-10000110=NaN","layer":2},{"info":"≮⫘↔10101110000⪝≮⫘↔10000000111=≮⫘↔-11100110011","layer":3},{"info":"≮⫘↔10000000010∛≔=≮⫘↔-1001010100010000111","layer":3},{"info":"≮⫘↔-11100110011⋳⪒≮⫘↔-1001010100010000111=≮⫘↔1001001100100000010","layer":2},{"info":"NaN→⨶⪴≮⫘↔1001001100100000010=≮⫘↔-11011100101100000110","layer":1},{"info":"≮⫘↔1000100110100⋣⋖≮⫘↔101111010110=≮⫘↔1000100110100","layer":3},{"info":"≮⫘↔1010010111011⊲⩕⊾≮⫘↔10000101111111=≮⫘↔-101000110101111100","layer":3},{"info":"≮⫘↔1000100110100↡⊰⫅≮⫘↔-101000110101111100=NaN","layer":2},{"info":"≮⫘↔11111101101⫘≮⫘↔1010101101110=≮⫘↔1001000111100111101101","layer":3},{"info":"≮⫘↔111001000010⪢≮⫘↔10110111101=NaN","layer":3},{"info":"≮⫘↔1001000111100111101101≬⇓NaN=≮⫘↔-1001000111110000101010","layer":2},{"info":"NaN⪄≮⫘↔-1001000111110000101010=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔-11011100101100000110⋝⋈⪟≮⫘↔111110001011=≮⫘↔-11011100101100000110","layer":0}]}
{"id":955,"expression_no_base_symbol":"($1120$⊹∫⫚$1746$)⨑⩅≇($1369$⫸⇳$1096$)⪒⊣⊆((⨆≐≲$2047$)∲⫓$2301$⋾⨃∁$3210$)⊉≛↸(↣≠⋷$5059$)⨿($1365$⩧⪆$5866$)⇌⫙⪟(↪⫪⫘($1480$∝$1114$))","expression":"(≮⫘↔10001100000⊹∫⫚≮⫘↔11011010010)⨑⩅≇(≮⫘↔10101011001⫸⇳≮⫘↔10001001000)⪒⊣⊆((⨆≐≲≮⫘↔11111111111)∲⫓≮⫘↔100011111101⋾⨃∁≮⫘↔110010001010)⊉≛↸(↣≠⋷≮⫘↔1001111000011)⨿(≮⫘↔10101010101⩧⪆≮⫘↔1011011101010)⇌⫙⪟(↪⫪⫘(≮⫘↔10111001000∝≮⫘↔10001011010))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3833,"operation_count":14,"complexity_ratio":273.7857142857143,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1120,"base":2},"right_expr":{"type":"numeric_atoms","value":1746,"base":2}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1369,"base":2},"right_expr":{"type":"numeric_atoms","value":1096,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2047,"base":2}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2301,"base":2},"right_expr":{"type":"numeric_atoms","value":3210,"base":2}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5059,"base":2}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1365,"base":2},"right_expr":{"type":"numeric_atoms","value":5866,"base":2}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1480,"base":2},"right_expr":{"type":"numeric_atoms","value":1114,"base":2}}}}},"used_operators":["DZ8iAZOCBD","eRqsBgTDFp","h92wMvzauj","uWAJUKEvyW","gx7XJ7hdpj","i8ToyICDmI","Bi9z9uYZqW","212REbPD9h","AFVx7xoS7T","abYXlopdE0","Asc51vEJeQ","Ikt5ks8PT7","9dWsAM3GFt","cTDWOvIxvz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","XhwjNDsVaA","AHs5Up7iyr","eewbuw0ToL","t8gj7n24qd","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≮⫘↔110001110100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=1746, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-144","layer":3},{"info":"number node, value=1369","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=1096, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-144, right_input=0, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=6376","layer":2},{"info":"number node, value=2047","layer":4},{"info":"compute unary expreesion, input=2047, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=22068888","layer":3},{"info":"number node, value=2301","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=3210, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=103002386","layer":3},{"info":"compute binary expreesion, left_input=22068888, right_input=103002386, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6376, right_input=0, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=12752","layer":1},{"info":"number node, value=5059","layer":4},{"info":"compute unary expreesion, input=5059, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=5866","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=5866, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5866","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5866, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1114, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1485","layer":3},{"info":"compute unary expreesion, input=1485, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=20, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=12752, right_input=113, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=25504","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001100000⊹∫⫚≮⫘↔11011010010)⨑⩅≇(≮⫘↔10101011001⫸⇳≮⫘↔10001001000)⪒⊣⊆((⨆≐≲≮⫘↔11111111111)∲⫓≮⫘↔100011111101⋾⨃∁≮⫘↔110010001010)⊉≛↸(↣≠⋷≮⫘↔1001111000011)⨿(≮⫘↔10101010101⩧⪆≮⫘↔1011011101010)⇌⫙⪟(↪⫪⫘(≮⫘↔10111001000∝≮⫘↔10001011010))=≮⫘↔110001110100000","reverse_text":"≮⫘↔110001110100000=(≮⫘↔10001100000⊹∫⫚≮⫘↔11011010010)⨑⩅≇(≮⫘↔10101011001⫸⇳≮⫘↔10001001000)⪒⊣⊆((⨆≐≲≮⫘↔11111111111)∲⫓≮⫘↔100011111101⋾⨃∁≮⫘↔110010001010)⊉≛↸(↣≠⋷≮⫘↔1001111000011)⨿(≮⫘↔10101010101⩧⪆≮⫘↔1011011101010)⇌⫙⪟(↪⫪⫘(≮⫘↔10111001000∝≮⫘↔10001011010))","cot":[{"info":"≮⫘↔10001100000⊹∫⫚≮⫘↔11011010010=≮⫘↔-10010000","layer":3},{"info":"≮⫘↔10101011001⫸⇳≮⫘↔10001001000=≮⫘↔0","layer":3},{"info":"≮⫘↔-10010000⨑⩅≇≮⫘↔0=≮⫘↔1100011101000","layer":2},{"info":"⨆≐≲≮⫘↔11111111111=≮⫘↔1010100001011111010011000","layer":3},{"info":"≮⫘↔100011111101⋾⨃∁≮⫘↔110010001010=≮⫘↔110001000111011000100010010","layer":3},{"info":"≮⫘↔1010100001011111010011000∲⫓≮⫘↔110001000111011000100010010=≮⫘↔0","layer":2},{"info":"≮⫘↔1100011101000⪒⊣⊆≮⫘↔0=≮⫘↔11000111010000","layer":1},{"info":"↣≠⋷≮⫘↔1001111000011=NaN","layer":3},{"info":"≮⫘↔10101010101⩧⪆≮⫘↔1011011101010=≮⫘↔-1011011101010","layer":3},{"info":"NaN⨿≮⫘↔-1011011101010=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10111001000∝≮⫘↔10001011010=≮⫘↔10111001101","layer":3},{"info":"↪⫪⫘≮⫘↔10111001101=≮⫘↔10100","layer":2},{"info":"≮⫘↔1000011⇌⫙⪟≮⫘↔10100=≮⫘↔1110001","layer":1},{"info":"≮⫘↔11000111010000⊉≛↸≮⫘↔1110001=≮⫘↔110001110100000","layer":0}]}
{"id":956,"expression_no_base_symbol":"(((≦∁$1305$)⨴∎)⇡⇂(($1144$⊍⩺⋍$3638$)⩨$3409$⪔$1106$))⇡⇂((($1080$∠⫱$5764$)⨹)⩘(($1065$↰)⇐≅))","expression":"(((≦∁≮⫘↔10100011001)⨴∎)⇡⇂((≮⫘↔10001111000⊍⩺⋍≮⫘↔111000110110)⩨≮⫘↔110101010001⪔≮⫘↔10001010010))⇡⇂(((≮⫘↔10000111000∠⫱≮⫘↔1011010000100)⨹)⩘((≮⫘↔10000101001↰)⇐≅))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8337,"operation_count":12,"complexity_ratio":694.75,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1305,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1144,"base":2},"right_expr":{"type":"numeric_atoms","value":3638,"base":2}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3409,"base":2},"right_expr":{"type":"numeric_atoms","value":1106,"base":2}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1080,"base":2},"right_expr":{"type":"numeric_atoms","value":5764,"base":2}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1065,"base":2}}}}},"used_operators":["UMwdvZNt44","CpSg5vQTgA","9ICcGScMcE","2DlMacCsIx","OXDGMFPWZM","GjBEYRfMaF","cHh1gJQ2o6","UnCoSGIALn","QvoQhV0rrE","wEfv7U73WA","bl5wxAcryP"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","mp7IySMOzn","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1305","layer":3},{"info":"compute unary expreesion, input=1305, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"number node, value=1144","layer":4},{"info":"number node, value=3638","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=3638, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=3409","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=1106, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=1080","layer":4},{"info":"number node, value=5764","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=5764, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2468","layer":2},{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=964","layer":3},{"info":"compute unary expreesion, input=964, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=2860","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=2860, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≦∁≮⫘↔10100011001)⨴∎)⇡⇂((≮⫘↔10001111000⊍⩺⋍≮⫘↔111000110110)⩨≮⫘↔110101010001⪔≮⫘↔10001010010))⇡⇂(((≮⫘↔10000111000∠⫱≮⫘↔1011010000100)⨹)⩘((≮⫘↔10000101001↰)⇐≅))=NaN","reverse_text":"NaN=(((≦∁≮⫘↔10100011001)⨴∎)⇡⇂((≮⫘↔10001111000⊍⩺⋍≮⫘↔111000110110)⩨≮⫘↔110101010001⪔≮⫘↔10001010010))⇡⇂(((≮⫘↔10000111000∠⫱≮⫘↔1011010000100)⨹)⩘((≮⫘↔10000101001↰)⇐≅))","cot":[{"info":"≦∁≮⫘↔10100011001=≮⫘↔10100011001","layer":3},{"info":"≮⫘↔10100011001⨴∎=NaN","layer":2},{"info":"≮⫘↔10001111000⊍⩺⋍≮⫘↔111000110110=NaN","layer":3},{"info":"≮⫘↔110101010001⪔≮⫘↔10001010010=≮⫘↔111000010","layer":3},{"info":"NaN⩨≮⫘↔111000010=NaN","layer":2},{"info":"NaN⇡⇂NaN=NaN","layer":1},{"info":"≮⫘↔10000111000∠⫱≮⫘↔1011010000100=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔10011010010⨹=≮⫘↔100110100100","layer":2},{"info":"≮⫘↔10000101001↰=≮⫘↔1111000100","layer":3},{"info":"≮⫘↔1111000100⇐≅=≮⫘↔101100101100","layer":2},{"info":"≮⫘↔100110100100⩘≮⫘↔101100101100=≮⫘↔10100000","layer":1},{"info":"NaN⇡⇂≮⫘↔10100000=NaN","layer":0}]}
{"id":957,"expression_no_base_symbol":"(($9244$⨑≵⋬$1421$)⨽∌($3388$⋾⨃∁$8438$)⊴($6415$⩹$4218$⪨≂$1006$↼⊘⨖$1889$))⊉↱≁(($6581$⩺⋐⫨)⫘$1824$⫗⊷⫓$1201$⫠↝⫳)","expression":"((≮⫘↔10010000011100⨑≵⋬≮⫘↔10110001101)⨽∌(≮⫘↔110100111100⋾⨃∁≮⫘↔10000011110110)⊴(≮⫘↔1100100001111⩹≮⫘↔1000001111010⪨≂≮⫘↔1111101110↼⊘⨖≮⫘↔11101100001))⊉↱≁((≮⫘↔1100110110101⩺⋐⫨)⫘≮⫘↔11100100000⫗⊷⫓≮⫘↔10010110001⫠↝⫳)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":943159,"operation_count":12,"complexity_ratio":78596.58333333333,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":9244,"base":2},"right_expr":{"type":"numeric_atoms","value":1421,"base":2}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3388,"base":2},"right_expr":{"type":"numeric_atoms","value":8438,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":6415,"base":2},"right_expr":{"type":"numeric_atoms","value":4218,"base":2}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1006,"base":2},"right_expr":{"type":"numeric_atoms","value":1889,"base":2}}}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":6581,"base":2}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1824,"base":2},"right_expr":{"type":"numeric_atoms","value":1201,"base":2}}}}},"used_operators":["w2P8NbNXyL","Nsiff2A1zJ","9samAPKr6k","XnXgA4xnOs","212REbPD9h","sdazOOVcIp","2Wsdkap16l","bPywburJMS","8n5YIzOsVS","48vC8HMD2b","yS9ePUuUdn","zashukvMKz"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","dWAJyo7jo9","14qkJME0vr","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9244","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=9244, right_input=1421, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=37652","layer":3},{"info":"number node, value=3388","layer":4},{"info":"number node, value=8438","layer":4},{"info":"compute binary expreesion, left_input=3388, right_input=8438, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=711897090","layer":3},{"info":"compute binary expreesion, left_input=37652, right_input=711897090, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"number node, value=6415","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=6415, right_input=4218, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=4216","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1889, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3556","layer":3},{"info":"compute binary expreesion, left_input=4216, right_input=3556, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1422","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1422, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=6581","layer":4},{"info":"compute unary expreesion, input=6581, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=1201, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010000011100⨑≵⋬≮⫘↔10110001101)⨽∌(≮⫘↔110100111100⋾⨃∁≮⫘↔10000011110110)⊴(≮⫘↔1100100001111⩹≮⫘↔1000001111010⪨≂≮⫘↔1111101110↼⊘⨖≮⫘↔11101100001))⊉↱≁((≮⫘↔1100110110101⩺⋐⫨)⫘≮⫘↔11100100000⫗⊷⫓≮⫘↔10010110001⫠↝⫳)=NaN","reverse_text":"NaN=((≮⫘↔10010000011100⨑≵⋬≮⫘↔10110001101)⨽∌(≮⫘↔110100111100⋾⨃∁≮⫘↔10000011110110)⊴(≮⫘↔1100100001111⩹≮⫘↔1000001111010⪨≂≮⫘↔1111101110↼⊘⨖≮⫘↔11101100001))⊉↱≁((≮⫘↔1100110110101⩺⋐⫨)⫘≮⫘↔11100100000⫗⊷⫓≮⫘↔10010110001⫠↝⫳)","cot":[{"info":"≮⫘↔10010000011100⨑≵⋬≮⫘↔10110001101=≮⫘↔1001001100010100","layer":3},{"info":"≮⫘↔110100111100⋾⨃∁≮⫘↔10000011110110=≮⫘↔101010011011101011000000000010","layer":3},{"info":"≮⫘↔1001001100010100⨽∌≮⫘↔101010011011101011000000000010=NaN","layer":2},{"info":"≮⫘↔1100100001111⩹≮⫘↔1000001111010=≮⫘↔1000001111000","layer":3},{"info":"≮⫘↔1111101110↼⊘⨖≮⫘↔11101100001=≮⫘↔110111100100","layer":3},{"info":"≮⫘↔1000001111000⪨≂≮⫘↔110111100100=≮⫘↔10110001110","layer":2},{"info":"NaN⊴≮⫘↔10110001110=NaN","layer":1},{"info":"≮⫘↔1100110110101⩺⋐⫨=≮⫘↔0","layer":3},{"info":"≮⫘↔11100100000⫗⊷⫓≮⫘↔10010110001=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔0⫘≮⫘↔-10000110=NaN","layer":2},{"info":"NaN⫠↝⫳=NaN","layer":1},{"info":"NaN⊉↱≁NaN=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"(⪸$2624$)⫣⪄⊒(≻⋜$3001$)⪶≀⋏(⇘(⫖→$3272$))⋓(($1116$⇣⩺⋵$3858$)⋹⋡⊁($1966$⫞⩸⩒$2296$)⋅⇍$1104$⫗⊷⫓$1405$⇌⫙⪟($3485$⊭↱$8652$))","expression":"(⪸≮⫘↔101001000000)⫣⪄⊒(≻⋜≮⫘↔101110111001)⪶≀⋏(⇘(⫖→≮⫘↔110011001000))⋓((≮⫘↔10001011100⇣⩺⋵≮⫘↔111100010010)⋹⋡⊁(≮⫘↔11110101110⫞⩸⩒≮⫘↔100011111000)⋅⇍≮⫘↔10001010000⫗⊷⫓≮⫘↔10101111101⇌⫙⪟(≮⫘↔110110011101⊭↱≮⫘↔10000111001100))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1172166,"operation_count":14,"complexity_ratio":83726.14285714286,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2624,"base":2}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3001,"base":2}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":3272,"base":2}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1116,"base":2},"right_expr":{"type":"numeric_atoms","value":3858,"base":2}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1966,"base":2},"right_expr":{"type":"numeric_atoms","value":2296,"base":2}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1104,"base":2},"right_expr":{"type":"numeric_atoms","value":1405,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3485,"base":2},"right_expr":{"type":"numeric_atoms","value":8652,"base":2}}}}},"used_operators":["T2fj7uvVaJ","zR4jO40bMj","RabNbG55vr","86A5ENbKR9","3tj9sqzovi","MGuIdZPyUC","U4ylXWHChL","AdZkA7nFnk","As8RqfVLgs","F4yD0voBRQ","XGcMNugi78","AFVx7xoS7T","zashukvMKz","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2624","layer":4},{"info":"compute unary expreesion, input=2624, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-44399","layer":3},{"info":"number node, value=3001","layer":4},{"info":"compute unary expreesion, input=3001, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-44399, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=3272","layer":4},{"info":"compute unary expreesion, input=3272, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1064433","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1064433, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-8515464","layer":1},{"info":"number node, value=1116","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=3858, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-3190","layer":3},{"info":"number node, value=1966","layer":4},{"info":"number node, value=2296","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=2296, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2296","layer":3},{"info":"compute binary expreesion, left_input=-3190, right_input=2296, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3046","layer":2},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1405, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3485","layer":4},{"info":"number node, value=8652","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=8652, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10339","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=10339, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=3046, right_input=113, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=-8515464, right_input=-22, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⪸≮⫘↔101001000000)⫣⪄⊒(≻⋜≮⫘↔101110111001)⪶≀⋏(⇘(⫖→≮⫘↔110011001000))⋓((≮⫘↔10001011100⇣⩺⋵≮⫘↔111100010010)⋹⋡⊁(≮⫘↔11110101110⫞⩸⩒≮⫘↔100011111000)⋅⇍≮⫘↔10001010000⫗⊷⫓≮⫘↔10101111101⇌⫙⪟(≮⫘↔110110011101⊭↱≮⫘↔10000111001100))=≮⫘↔0","reverse_text":"≮⫘↔0=(⪸≮⫘↔101001000000)⫣⪄⊒(≻⋜≮⫘↔101110111001)⪶≀⋏(⇘(⫖→≮⫘↔110011001000))⋓((≮⫘↔10001011100⇣⩺⋵≮⫘↔111100010010)⋹⋡⊁(≮⫘↔11110101110⫞⩸⩒≮⫘↔100011111000)⋅⇍≮⫘↔10001010000⫗⊷⫓≮⫘↔10101111101⇌⫙⪟(≮⫘↔110110011101⊭↱≮⫘↔10000111001100))","cot":[{"info":"⪸≮⫘↔101001000000=≮⫘↔-1010110101101111","layer":3},{"info":"≻⋜≮⫘↔101110111001=NaN","layer":3},{"info":"≮⫘↔-1010110101101111⫣⪄⊒NaN=≮⫘↔10100000","layer":2},{"info":"⫖→≮⫘↔110011001000=≮⫘↔10110001","layer":3},{"info":"⇘≮⫘↔10110001=≮⫘↔-100000011110111110001","layer":2},{"info":"≮⫘↔10100000⪶≀⋏≮⫘↔-100000011110111110001=≮⫘↔-100000011110111110001000","layer":1},{"info":"≮⫘↔10001011100⇣⩺⋵≮⫘↔111100010010=≮⫘↔-110001110110","layer":3},{"info":"≮⫘↔11110101110⫞⩸⩒≮⫘↔100011111000=≮⫘↔100011111000","layer":3},{"info":"≮⫘↔-110001110110⋹⋡⊁≮⫘↔100011111000=≮⫘↔101111100110","layer":2},{"info":"≮⫘↔10001010000⫗⊷⫓≮⫘↔10101111101=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔110110011101⊭↱≮⫘↔10000111001100=≮⫘↔10100001100011","layer":3},{"info":"≮⫘↔-10000110⇌⫙⪟≮⫘↔10100001100011=≮⫘↔1110001","layer":2},{"info":"≮⫘↔101111100110⋅⇍≮⫘↔1110001=≮⫘↔-10110","layer":1},{"info":"≮⫘↔-100000011110111110001000⋓≮⫘↔-10110=≮⫘↔0","layer":0}]}
{"id":959,"expression_no_base_symbol":"(⇐(⪭⩑⪱($3039$↼⊘⨖$1802$)))⫚↹⊑(($1051$%$1202$)⊧↖)↼⊘⨖($1725$⪎↠$5075$)⩦($7528$∙⊟$2967$)","expression":"(⇐(⪭⩑⪱(≮⫘↔101111011111↼⊘⨖≮⫘↔11100001010)))⫚↹⊑((≮⫘↔10000011011%≮⫘↔10010110010)⊧↖)↼⊘⨖(≮⫘↔11010111101⪎↠≮⫘↔1001111010011)⩦(≮⫘↔1110101101000∙⊟≮⫘↔101110010111)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":876918,"operation_count":10,"complexity_ratio":87691.8,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3039,"base":2},"right_expr":{"type":"numeric_atoms","value":1802,"base":2}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1051,"base":2},"right_expr":{"type":"numeric_atoms","value":1202,"base":2}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1725,"base":2},"right_expr":{"type":"numeric_atoms","value":5075,"base":2}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":7528,"base":2},"right_expr":{"type":"numeric_atoms","value":2967,"base":2}}}}},"used_operators":["dfKe02y8D2","nmZMaaE0Q9","SIgE0bArFf","bPywburJMS","EKiFHuOFxO","k8jYdgA6NY","0kmYd0q39Y","3tVxb0NHM4","SxTAKzQCrw"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","rysDP5nf3Z","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"≮⫘↔-110111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3039","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=1802, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3382","layer":3},{"info":"compute unary expreesion, input=3382, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute unary expreesion, input=8320752, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=16630598","layer":1},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1202, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1051","layer":3},{"info":"compute unary expreesion, input=1051, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=6631040","layer":2},{"info":"number node, value=1725","layer":4},{"info":"number node, value=5075","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=5075, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=7528","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=7528, right_input=2967, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=107710","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=107710, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=320","layer":2},{"info":"compute binary expreesion, left_input=6631040, right_input=320, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=418","layer":1},{"info":"compute binary expreesion, left_input=16630598, right_input=418, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":2,"result_base":2,"text":"(⇐(⪭⩑⪱(≮⫘↔101111011111↼⊘⨖≮⫘↔11100001010)))⫚↹⊑((≮⫘↔10000011011%≮⫘↔10010110010)⊧↖)↼⊘⨖(≮⫘↔11010111101⪎↠≮⫘↔1001111010011)⩦(≮⫘↔1110101101000∙⊟≮⫘↔101110010111)=≮⫘↔-110111111","reverse_text":"≮⫘↔-110111111=(⇐(⪭⩑⪱(≮⫘↔101111011111↼⊘⨖≮⫘↔11100001010)))⫚↹⊑((≮⫘↔10000011011%≮⫘↔10010110010)⊧↖)↼⊘⨖(≮⫘↔11010111101⪎↠≮⫘↔1001111010011)⩦(≮⫘↔1110101101000∙⊟≮⫘↔101110010111)","cot":[{"info":"≮⫘↔101111011111↼⊘⨖≮⫘↔11100001010=≮⫘↔110100110110","layer":3},{"info":"⪭⩑⪱≮⫘↔110100110110=≮⫘↔11111101111011011110000","layer":2},{"info":"⇐≮⫘↔11111101111011011110000=≮⫘↔111111011100001101000110","layer":1},{"info":"≮⫘↔10000011011%≮⫘↔10010110010=≮⫘↔10000011011","layer":3},{"info":"≮⫘↔10000011011⊧↖=≮⫘↔11001010010111010000000","layer":2},{"info":"≮⫘↔11010111101⪎↠≮⫘↔1001111010011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1110101101000∙⊟≮⫘↔101110010111=≮⫘↔11010010010111110","layer":3},{"info":"≮⫘↔10100000⩦≮⫘↔11010010010111110=≮⫘↔101000000","layer":2},{"info":"≮⫘↔11001010010111010000000↼⊘⨖≮⫘↔101000000=≮⫘↔110100010","layer":1},{"info":"≮⫘↔111111011100001101000110⫚↹⊑≮⫘↔110100010=≮⫘↔-110111111","layer":0}]}
{"id":960,"expression_no_base_symbol":"(($6369$⫉⨲⊜$9353$⫸⊐($1237$⫍⨯↯))≧⫂∧(≸≮$1122$⨑⩅≇$3805$))∺≝⩲($2276$⋹⋡⊁$2430$≥⨤⩑(⪝⪂⫅$1560$)⊉≛↸(⋠∜$1370$)⫰⋱$5194$⨓$7293$)","expression":"((≮⫘↔1100011100001⫉⨲⊜≮⫘↔10010010001001⫸⊐(≮⫘↔10011010101⫍⨯↯))≧⫂∧(≸≮≮⫘↔10001100010⨑⩅≇≮⫘↔111011011101))∺≝⩲(≮⫘↔100011100100⋹⋡⊁≮⫘↔100101111110≥⨤⩑(⪝⪂⫅≮⫘↔11000011000)⊉≛↸(⋠∜≮⫘↔10101011010)⫰⋱≮⫘↔1010001001010⨓≮⫘↔1110001111101)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3284456,"operation_count":14,"complexity_ratio":234604.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":6369,"base":2},"right_expr":{"type":"numeric_atoms","value":9353,"base":2}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1237,"base":2}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1122,"base":2},"right_expr":{"type":"numeric_atoms","value":3805,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2276,"base":2},"right_expr":{"type":"numeric_atoms","value":2430,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1560,"base":2}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1370,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5194,"base":2},"right_expr":{"type":"numeric_atoms","value":7293,"base":2}}}}},"used_operators":["KPf6cnQVty","Ph9nP6C5qx","mqXw5SEYmG","WhqkvtTD3t","ZcwmYACASQ","AljMvE3RRm","h92wMvzauj","DZ8iAZOCBD","gJLn6v0xnP","As8RqfVLgs","XTarYq4gQB","6o9Blt3TJ6","ZJpFhNJr3x","3ViojmjbAp"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eewbuw0ToL","zVYPLywUTj","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6369","layer":4},{"info":"number node, value=9353","layer":4},{"info":"compute binary expreesion, left_input=6369, right_input=9353, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1204","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1204, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"number node, value=1122","layer":4},{"info":"number node, value=3805","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=3805, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3366","layer":3},{"info":"compute unary expreesion, input=-3366, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=51273","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=51273, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=50800","layer":1},{"info":"number node, value=2276","layer":4},{"info":"number node, value=2430","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=2430, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3180","layer":3},{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-229320","layer":3},{"info":"compute binary expreesion, left_input=3180, right_input=-229320, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=6360","layer":2},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7764","layer":3},{"info":"number node, value=5194","layer":4},{"info":"number node, value=7293","layer":4},{"info":"compute binary expreesion, left_input=5194, right_input=7293, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7296","layer":3},{"info":"compute binary expreesion, left_input=7764, right_input=-7296, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-401","layer":2},{"info":"compute binary expreesion, left_input=6360, right_input=-401, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12720","layer":1},{"info":"compute binary expreesion, left_input=50800, right_input=12720, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100011100001⫉⨲⊜≮⫘↔10010010001001⫸⊐(≮⫘↔10011010101⫍⨯↯))≧⫂∧(≸≮≮⫘↔10001100010⨑⩅≇≮⫘↔111011011101))∺≝⩲(≮⫘↔100011100100⋹⋡⊁≮⫘↔100101111110≥⨤⩑(⪝⪂⫅≮⫘↔11000011000)⊉≛↸(⋠∜≮⫘↔10101011010)⫰⋱≮⫘↔1010001001010⨓≮⫘↔1110001111101)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((≮⫘↔1100011100001⫉⨲⊜≮⫘↔10010010001001⫸⊐(≮⫘↔10011010101⫍⨯↯))≧⫂∧(≸≮≮⫘↔10001100010⨑⩅≇≮⫘↔111011011101))∺≝⩲(≮⫘↔100011100100⋹⋡⊁≮⫘↔100101111110≥⨤⩑(⪝⪂⫅≮⫘↔11000011000)⊉≛↸(⋠∜≮⫘↔10101011010)⫰⋱≮⫘↔1010001001010⨓≮⫘↔1110001111101)","cot":[{"info":"≮⫘↔1100011100001⫉⨲⊜≮⫘↔10010010001001=≮⫘↔0","layer":3},{"info":"≮⫘↔10011010101⫍⨯↯=≮⫘↔10010110100","layer":3},{"info":"≮⫘↔0⫸⊐≮⫘↔10010110100=≮⫘↔0","layer":2},{"info":"≮⫘↔10001100010⨑⩅≇≮⫘↔111011011101=≮⫘↔-110100100110","layer":3},{"info":"≸≮≮⫘↔-110100100110=≮⫘↔1100100001001001","layer":2},{"info":"≮⫘↔0≧⫂∧≮⫘↔1100100001001001=≮⫘↔1100011001110000","layer":1},{"info":"≮⫘↔100011100100⋹⋡⊁≮⫘↔100101111110=≮⫘↔110001101100","layer":3},{"info":"⪝⪂⫅≮⫘↔11000011000=≮⫘↔-110111111111001000","layer":3},{"info":"≮⫘↔110001101100≥⨤⩑≮⫘↔-110111111111001000=≮⫘↔1100011011000","layer":2},{"info":"⋠∜≮⫘↔10101011010=≮⫘↔1111001010100","layer":3},{"info":"≮⫘↔1010001001010⨓≮⫘↔1110001111101=≮⫘↔-1110010000000","layer":3},{"info":"≮⫘↔1111001010100⫰⋱≮⫘↔-1110010000000=≮⫘↔-110010001","layer":2},{"info":"≮⫘↔1100011011000⊉≛↸≮⫘↔-110010001=≮⫘↔11000110110000","layer":1},{"info":"≮⫘↔1100011001110000∺≝⩲≮⫘↔11000110110000=≮⫘↔10100000","layer":0}]}
{"id":961,"expression_no_base_symbol":"(∐⩳⋚(⇜($5074$⊓⋫)))⇄((⊖∈$3187$)⋻⩜⩜(⋠∜$1127$)∖(⨈⪑($3977$⫔⩽⩺$2925$)))","expression":"(∐⩳⋚(⇜(≮⫘↔1001111010010⊓⋫)))⇄((⊖∈≮⫘↔110001110011)⋻⩜⩜(⋠∜≮⫘↔10001100111)∖(⨈⪑(≮⫘↔111110001001⫔⩽⩺≮⫘↔101101101101)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":97068,"operation_count":10,"complexity_ratio":9706.8,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":5074,"base":2}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":3187,"base":2}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1127,"base":2}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3977,"base":2},"right_expr":{"type":"numeric_atoms","value":2925,"base":2}}}}},"used_operators":["3EYGwJThht","SL6IHkK8vl","lFBm8KRb8F","IqGBaFP0uj","tXD093vOjl","oDCm7WA9JY","YFxL8Sc2Zy","ZJpFhNJr3x","mp94q5OcYM","i9eR4S00cU"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","Tw270M8GLb","fu6greOZ01"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5074","layer":4},{"info":"compute unary expreesion, input=5074, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-5202","layer":3},{"info":"compute unary expreesion, input=-5202, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute unary expreesion, input=232, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=16649","layer":1},{"info":"number node, value=3187","layer":4},{"info":"compute unary expreesion, input=3187, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=58146","layer":3},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=6792","layer":3},{"info":"compute binary expreesion, left_input=58146, right_input=6792, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=116292","layer":2},{"info":"number node, value=3977","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=3977, right_input=2925, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=116292, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=16649, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(∐⩳⋚(⇜(≮⫘↔1001111010010⊓⋫)))⇄((⊖∈≮⫘↔110001110011)⋻⩜⩜(⋠∜≮⫘↔10001100111)∖(⨈⪑(≮⫘↔111110001001⫔⩽⩺≮⫘↔101101101101)))=≮⫘↔0","reverse_text":"≮⫘↔0=(∐⩳⋚(⇜(≮⫘↔1001111010010⊓⋫)))⇄((⊖∈≮⫘↔110001110011)⋻⩜⩜(⋠∜≮⫘↔10001100111)∖(⨈⪑(≮⫘↔111110001001⫔⩽⩺≮⫘↔101101101101)))","cot":[{"info":"≮⫘↔1001111010010⊓⋫=≮⫘↔-1010001010010","layer":3},{"info":"⇜≮⫘↔-1010001010010=≮⫘↔11101000","layer":2},{"info":"∐⩳⋚≮⫘↔11101000=≮⫘↔100000100001001","layer":1},{"info":"⊖∈≮⫘↔110001110011=≮⫘↔1110001100100010","layer":3},{"info":"⋠∜≮⫘↔10001100111=≮⫘↔1101010001000","layer":3},{"info":"≮⫘↔1110001100100010⋻⩜⩜≮⫘↔1101010001000=≮⫘↔11100011001000100","layer":2},{"info":"≮⫘↔111110001001⫔⩽⩺≮⫘↔101101101101=NaN","layer":3},{"info":"⨈⪑NaN=NaN","layer":2},{"info":"≮⫘↔11100011001000100∖NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔100000100001001⇄≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":962,"expression_no_base_symbol":"(⫶⊄≣($1204$⪮%⊝$2664$))⩣⫁∢(($1026$⫸⇳$6157$)⪒⊣⊆(≻⋜$6515$))⫚↹⊑(⫛⫱⨽$5940$)↳≱($7282$⩠)≃($1384$⨐$2217$)⨂≜($1594$⇼⇔∾$2719$)","expression":"(⫶⊄≣(≮⫘↔10010110100⪮%⊝≮⫘↔101001101000))⩣⫁∢((≮⫘↔10000000010⫸⇳≮⫘↔1100000001101)⪒⊣⊆(≻⋜≮⫘↔1100101110011))⫚↹⊑(⫛⫱⨽≮⫘↔1011100110100)↳≱(≮⫘↔1110001110010⩠)≃(≮⫘↔10101101000⨐≮⫘↔100010101001)⨂≜(≮⫘↔11000111010⇼⇔∾≮⫘↔101010011111)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":38985,"operation_count":14,"complexity_ratio":2784.6428571428573,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1204,"base":2},"right_expr":{"type":"numeric_atoms","value":2664,"base":2}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1026,"base":2},"right_expr":{"type":"numeric_atoms","value":6157,"base":2}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":6515,"base":2}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5940,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7282,"base":2}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1384,"base":2},"right_expr":{"type":"numeric_atoms","value":2217,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1594,"base":2},"right_expr":{"type":"numeric_atoms","value":2719,"base":2}}}}},"used_operators":["dfKe02y8D2","JDUIKTTSIa","wxb3vTeyAj","IWmyXbctLI","eRqsBgTDFp","gx7XJ7hdpj","3tj9sqzovi","YbVcJGFEVW","JwTKLfZU96","DlLNRPXxWL","sJAwomhLZr","k1SHOSEABc","Noe24qw2ks","tifHPKVTfV"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-110111111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=2664, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2724","layer":3},{"info":"compute unary expreesion, input=2724, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=133608889","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=6157","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=6157, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=6515","layer":4},{"info":"compute unary expreesion, input=6515, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=133608889, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"number node, value=5940","layer":4},{"info":"compute unary expreesion, input=5940, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=7282","layer":4},{"info":"compute unary expreesion, input=7282, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1384","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=2217, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2768","layer":3},{"info":"number node, value=1594","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=2719, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1125","layer":3},{"info":"compute binary expreesion, left_input=-2768, right_input=1125, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":2,"result_base":2,"text":"(⫶⊄≣(≮⫘↔10010110100⪮%⊝≮⫘↔101001101000))⩣⫁∢((≮⫘↔10000000010⫸⇳≮⫘↔1100000001101)⪒⊣⊆(≻⋜≮⫘↔1100101110011))⫚↹⊑(⫛⫱⨽≮⫘↔1011100110100)↳≱(≮⫘↔1110001110010⩠)≃(≮⫘↔10101101000⨐≮⫘↔100010101001)⨂≜(≮⫘↔11000111010⇼⇔∾≮⫘↔101010011111)=≮⫘↔-110111111","reverse_text":"≮⫘↔-110111111=(⫶⊄≣(≮⫘↔10010110100⪮%⊝≮⫘↔101001101000))⩣⫁∢((≮⫘↔10000000010⫸⇳≮⫘↔1100000001101)⪒⊣⊆(≻⋜≮⫘↔1100101110011))⫚↹⊑(⫛⫱⨽≮⫘↔1011100110100)↳≱(≮⫘↔1110001110010⩠)≃(≮⫘↔10101101000⨐≮⫘↔100010101001)⨂≜(≮⫘↔11000111010⇼⇔∾≮⫘↔101010011111)","cot":[{"info":"≮⫘↔10010110100⪮%⊝≮⫘↔101001101000=≮⫘↔101010100100","layer":3},{"info":"⫶⊄≣≮⫘↔101010100100=≮⫘↔111111101101011010110111001","layer":2},{"info":"≮⫘↔10000000010⫸⇳≮⫘↔1100000001101=≮⫘↔0","layer":3},{"info":"≻⋜≮⫘↔1100101110011=NaN","layer":3},{"info":"≮⫘↔0⪒⊣⊆NaN=NaN","layer":2},{"info":"≮⫘↔111111101101011010110111001⩣⫁∢NaN=NaN","layer":1},{"info":"⫛⫱⨽≮⫘↔1011100110100=≮⫘↔0","layer":3},{"info":"≮⫘↔1110001110010⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔0↳≱≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔10101101000⨐≮⫘↔100010101001=≮⫘↔-101011010000","layer":3},{"info":"≮⫘↔11000111010⇼⇔∾≮⫘↔101010011111=≮⫘↔10001100101","layer":3},{"info":"≮⫘↔-101011010000⨂≜≮⫘↔10001100101=NaN","layer":2},{"info":"≮⫘↔0≃NaN=NaN","layer":1},{"info":"NaN⫚↹⊑NaN=≮⫘↔-110111111","layer":0}]}
{"id":963,"expression_no_base_symbol":"⪓⩚((⋼∭⪍($2875$↙$1168$))⪹)","expression":"⪓⩚((⋼∭⪍(≮⫘↔101100111011↙≮⫘↔10010010000))⪹)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4564,"operation_count":4,"complexity_ratio":1141.0,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2875,"base":2},"right_expr":{"type":"numeric_atoms","value":1168,"base":2}}}}},"used_operators":["u0R0Locfp2","B3sABdIn96","DbCuESL50I","yyfyN0ffXY"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","tmPS8pqC7x","DpFCA1CohY"],"result":"≮⫘↔110101010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2875","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=1168, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3504","layer":3},{"info":"compute unary expreesion, input=-3504, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-20922","layer":2},{"info":"compute unary expreesion, input=-20922, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=-36290","layer":1},{"info":"compute unary expreesion, input=-36290, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":2,"result_base":2,"text":"⪓⩚((⋼∭⪍(≮⫘↔101100111011↙≮⫘↔10010010000))⪹)=≮⫘↔110101010","reverse_text":"≮⫘↔110101010=⪓⩚((⋼∭⪍(≮⫘↔101100111011↙≮⫘↔10010010000))⪹)","cot":[{"info":"≮⫘↔101100111011↙≮⫘↔10010010000=≮⫘↔-110110110000","layer":3},{"info":"⋼∭⪍≮⫘↔-110110110000=≮⫘↔-101000110111010","layer":2},{"info":"≮⫘↔-101000110111010⪹=≮⫘↔-1000110111000010","layer":1},{"info":"⪓⩚≮⫘↔-1000110111000010=≮⫘↔110101010","layer":0}]}
{"id":964,"expression_no_base_symbol":"(((⨡↴$3655$)⇪⋭)∐⫣)⋹⋡⊁(($1669$⨂≜$6149$⪔⊥$2863$⨿$1497$)⋕⪉⪜(⫖→$7616$⫸⊐$1792$))","expression":"(((⨡↴≮⫘↔111001000111)⇪⋭)∐⫣)⋹⋡⊁((≮⫘↔11010000101⨂≜≮⫘↔1100000000101⪔⊥≮⫘↔101100101111⨿≮⫘↔10111011001)⋕⪉⪜(⫖→≮⫘↔1110111000000⫸⊐≮⫘↔11100000000))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":71791,"operation_count":10,"complexity_ratio":7179.1,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3655,"base":2}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1669,"base":2},"right_expr":{"type":"numeric_atoms","value":6149,"base":2}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2863,"base":2},"right_expr":{"type":"numeric_atoms","value":1497,"base":2}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7616,"base":2},"right_expr":{"type":"numeric_atoms","value":1792,"base":2}}}}},"used_operators":["As8RqfVLgs","4CyGpkTkEk","Z8Yg6dlDSp","liw5iZPkLH","z6LnFrNh4i","HJ9erzHUuu","k1SHOSEABc","abYXlopdE0","U4ylXWHChL","mqXw5SEYmG"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","W4YGzv6Whe","P8v4zCKN1o","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≮⫘↔1110111010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3655","layer":4},{"info":"compute unary expreesion, input=3655, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4704","layer":3},{"info":"compute unary expreesion, input=4704, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":1},{"info":"number node, value=1669","layer":4},{"info":"number node, value=6149","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=6149, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2863","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=1497, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"number node, value=7616","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=7616, right_input=1792, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7043","layer":3},{"info":"compute unary expreesion, input=7043, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=954","layer":0}],"base":2,"result_base":2,"text":"(((⨡↴≮⫘↔111001000111)⇪⋭)∐⫣)⋹⋡⊁((≮⫘↔11010000101⨂≜≮⫘↔1100000000101⪔⊥≮⫘↔101100101111⨿≮⫘↔10111011001)⋕⪉⪜(⫖→≮⫘↔1110111000000⫸⊐≮⫘↔11100000000))=≮⫘↔1110111010","reverse_text":"≮⫘↔1110111010=(((⨡↴≮⫘↔111001000111)⇪⋭)∐⫣)⋹⋡⊁((≮⫘↔11010000101⨂≜≮⫘↔1100000000101⪔⊥≮⫘↔101100101111⨿≮⫘↔10111011001)⋕⪉⪜(⫖→≮⫘↔1110111000000⫸⊐≮⫘↔11100000000))","cot":[{"info":"⨡↴≮⫘↔111001000111=≮⫘↔1001001100000","layer":3},{"info":"≮⫘↔1001001100000⇪⋭=NaN","layer":2},{"info":"NaN∐⫣=NaN","layer":1},{"info":"≮⫘↔11010000101⨂≜≮⫘↔1100000000101=NaN","layer":3},{"info":"≮⫘↔101100101111⨿≮⫘↔10111011001=≮⫘↔-100111111","layer":3},{"info":"NaN⪔⊥≮⫘↔-100111111=NaN","layer":2},{"info":"≮⫘↔1110111000000⫸⊐≮⫘↔11100000000=≮⫘↔1101110000011","layer":3},{"info":"⫖→≮⫘↔1101110000011=≮⫘↔10110001","layer":2},{"info":"NaN⋕⪉⪜≮⫘↔10110001=≮⫘↔11001100","layer":1},{"info":"NaN⋹⋡⊁≮⫘↔11001100=≮⫘↔1110111010","layer":0}]}
{"id":965,"expression_no_base_symbol":"((↡(⇈$5363$))∷(⪓⩚$3196$⫗⊷⫓$1434$))→⨶⪴(((⇺⋃$5629$)≣⋋)⫒⫫(($3852$⨵⪆$6333$)⩚⊴⇥($4066$⋻⩜⩜$1150$)))","expression":"((↡(⇈≮⫘↔1010011110011))∷(⪓⩚≮⫘↔110001111100⫗⊷⫓≮⫘↔10110011010))→⨶⪴(((⇺⋃≮⫘↔1010111111101)≣⋋)⫒⫫((≮⫘↔111100001100⨵⪆≮⫘↔1100010111101)⩚⊴⇥(≮⫘↔111111100010⋻⩜⩜≮⫘↔10001111110)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1134125,"operation_count":12,"complexity_ratio":94510.41666666667,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":5363,"base":2}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3196,"base":2},"right_expr":{"type":"numeric_atoms","value":1434,"base":2}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":5629,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3852,"base":2},"right_expr":{"type":"numeric_atoms","value":6333,"base":2}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4066,"base":2},"right_expr":{"type":"numeric_atoms","value":1150,"base":2}}}}},"used_operators":["bF6eod5Gvf","D3AQDKkPcf","MXaNJeIAZ3","SLLxy00UIr","u0R0Locfp2","zashukvMKz","6Ko8hGgeMq","Tcnh7f0tEr","E5v5B3UAjG","NTOWxs364D","2DQ55sFlQl","oDCm7WA9JY"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5363","layer":4},{"info":"compute unary expreesion, input=5363, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-4023","layer":2},{"info":"number node, value=3196","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=1434, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=-4023, right_input=426, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=426","layer":1},{"info":"number node, value=5629","layer":4},{"info":"compute unary expreesion, input=5629, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"number node, value=3852","layer":4},{"info":"number node, value=6333","layer":4},{"info":"compute binary expreesion, left_input=3852, right_input=6333, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4066","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=4066, right_input=1150, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8132","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=8132, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8413","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8413, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↡(⇈≮⫘↔1010011110011))∷(⪓⩚≮⫘↔110001111100⫗⊷⫓≮⫘↔10110011010))→⨶⪴(((⇺⋃≮⫘↔1010111111101)≣⋋)⫒⫫((≮⫘↔111100001100⨵⪆≮⫘↔1100010111101)⩚⊴⇥(≮⫘↔111111100010⋻⩜⩜≮⫘↔10001111110)))=NaN","reverse_text":"NaN=((↡(⇈≮⫘↔1010011110011))∷(⪓⩚≮⫘↔110001111100⫗⊷⫓≮⫘↔10110011010))→⨶⪴(((⇺⋃≮⫘↔1010111111101)≣⋋)⫒⫫((≮⫘↔111100001100⨵⪆≮⫘↔1100010111101)⩚⊴⇥(≮⫘↔111111100010⋻⩜⩜≮⫘↔10001111110)))","cot":[{"info":"⇈≮⫘↔1010011110011=≮⫘↔-110111111","layer":3},{"info":"↡≮⫘↔-110111111=≮⫘↔-111110110111","layer":2},{"info":"≮⫘↔110001111100⫗⊷⫓≮⫘↔10110011010=≮⫘↔-10000110","layer":3},{"info":"⪓⩚≮⫘↔-10000110=≮⫘↔110101010","layer":2},{"info":"≮⫘↔-111110110111∷≮⫘↔110101010=≮⫘↔110101010","layer":1},{"info":"⇺⋃≮⫘↔1010111111101=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"≮⫘↔111100001100⨵⪆≮⫘↔1100010111101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔111111100010⋻⩜⩜≮⫘↔10001111110=≮⫘↔1111111000100","layer":3},{"info":"≮⫘↔10100000⩚⊴⇥≮⫘↔1111111000100=≮⫘↔-10000011011101","layer":2},{"info":"NaN⫒⫫≮⫘↔-10000011011101=NaN","layer":1},{"info":"≮⫘↔110101010→⨶⪴NaN=NaN","layer":0}]}
{"id":966,"expression_no_base_symbol":"(↡($4211$⫗⊷⫓$1603$⪭($2282$⩒⫫$3941$)))⪇≇⋚(↞≼$2929$)≨$1976$∘$1391$⪕$3121$→⨶⪴$5374$⪮%⊝($4924$⇩)","expression":"(↡(≮⫘↔1000001110011⫗⊷⫓≮⫘↔11001000011⪭(≮⫘↔100011101010⩒⫫≮⫘↔111101100101)))⪇≇⋚(↞≼≮⫘↔101101110001)≨≮⫘↔11110111000∘≮⫘↔10101101111⪕≮⫘↔110000110001→⨶⪴≮⫘↔1010011111110⪮%⊝(≮⫘↔1001100111100⇩)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1245007,"operation_count":12,"complexity_ratio":103750.58333333333,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4211,"base":2},"right_expr":{"type":"numeric_atoms","value":1603,"base":2}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2282,"base":2},"right_expr":{"type":"numeric_atoms","value":3941,"base":2}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2929,"base":2}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1976,"base":2},"right_expr":{"type":"numeric_atoms","value":1391,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3121,"base":2},"right_expr":{"type":"numeric_atoms","value":5374,"base":2}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":4924,"base":2}}}}},"used_operators":["3sJ7IOPOlU","MXaNJeIAZ3","j9kHMeSvPp","zashukvMKz","KFSx94NKJn","umQnsF7QlU","0KMCeP1Jsh","DE7zCoGJt9","Z5m6OM72h2","IWmyXbctLI","bF6eod5Gvf","vRio1gEz1j"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","COABgblf1C","xUOZtlo3hN","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4211","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=4211, right_input=1603, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2282","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=3941, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1980","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=1980, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-40","layer":2},{"info":"compute unary expreesion, input=-40, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-360","layer":1},{"info":"number node, value=2929","layer":4},{"info":"compute unary expreesion, input=2929, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=23018","layer":3},{"info":"number node, value=1976","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=1391, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3952","layer":3},{"info":"compute binary expreesion, left_input=23018, right_input=3952, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-227704","layer":2},{"info":"number node, value=3121","layer":4},{"info":"number node, value=5374","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=5374, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-16122","layer":3},{"info":"number node, value=4924","layer":4},{"info":"compute unary expreesion, input=4924, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=5017","layer":3},{"info":"compute binary expreesion, left_input=-16122, right_input=5017, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-31928","layer":2},{"info":"compute binary expreesion, left_input=-227704, right_input=-31928, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=-360, right_input=935, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(↡(≮⫘↔1000001110011⫗⊷⫓≮⫘↔11001000011⪭(≮⫘↔100011101010⩒⫫≮⫘↔111101100101)))⪇≇⋚(↞≼≮⫘↔101101110001)≨≮⫘↔11110111000∘≮⫘↔10101101111⪕≮⫘↔110000110001→⨶⪴≮⫘↔1010011111110⪮%⊝(≮⫘↔1001100111100⇩)=≮⫘↔0","reverse_text":"≮⫘↔0=(↡(≮⫘↔1000001110011⫗⊷⫓≮⫘↔11001000011⪭(≮⫘↔100011101010⩒⫫≮⫘↔111101100101)))⪇≇⋚(↞≼≮⫘↔101101110001)≨≮⫘↔11110111000∘≮⫘↔10101101111⪕≮⫘↔110000110001→⨶⪴≮⫘↔1010011111110⪮%⊝(≮⫘↔1001100111100⇩)","cot":[{"info":"≮⫘↔1000001110011⫗⊷⫓≮⫘↔11001000011=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔100011101010⩒⫫≮⫘↔111101100101=≮⫘↔11110111100","layer":3},{"info":"≮⫘↔-10000110⪭≮⫘↔11110111100=≮⫘↔-101000","layer":2},{"info":"↡≮⫘↔-101000=≮⫘↔-101101000","layer":1},{"info":"↞≼≮⫘↔101101110001=≮⫘↔101100111101010","layer":3},{"info":"≮⫘↔11110111000∘≮⫘↔10101101111=≮⫘↔111101110000","layer":3},{"info":"≮⫘↔101100111101010≨≮⫘↔111101110000=≮⫘↔-110111100101111000","layer":2},{"info":"≮⫘↔110000110001→⨶⪴≮⫘↔1010011111110=≮⫘↔-11111011111010","layer":3},{"info":"≮⫘↔1001100111100⇩=≮⫘↔1001110011001","layer":3},{"info":"≮⫘↔-11111011111010⪮%⊝≮⫘↔1001110011001=≮⫘↔-111110010111000","layer":2},{"info":"≮⫘↔-110111100101111000⪕≮⫘↔-111110010111000=≮⫘↔1110100111","layer":1},{"info":"≮⫘↔-101101000⪇≇⋚≮⫘↔1110100111=≮⫘↔0","layer":0}]}
{"id":967,"expression_no_base_symbol":"(($8383$⩺⪪$3905$≓∲$1751$⩁⩘$1694$)∈)⊱⇼⊻($6214$⫗⊷⫓$1294$⪢($1145$↦))≁(($3567$⩺⋐⫨)⇼⇔∾$1404$⊹∫⫚$2123$)","expression":"((≮⫘↔10000010111111⩺⪪≮⫘↔111101000001≓∲≮⫘↔11011010111⩁⩘≮⫘↔11010011110)∈)⊱⇼⊻(≮⫘↔1100001000110⫗⊷⫓≮⫘↔10100001110⪢(≮⫘↔10001111001↦))≁((≮⫘↔110111101111⩺⋐⫨)⇼⇔∾≮⫘↔10101111100⊹∫⫚≮⫘↔100001001011)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1232205,"operation_count":12,"complexity_ratio":102683.75,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":8383,"base":2},"right_expr":{"type":"numeric_atoms","value":3905,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1751,"base":2},"right_expr":{"type":"numeric_atoms","value":1694,"base":2}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6214,"base":2},"right_expr":{"type":"numeric_atoms","value":1294,"base":2}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1145,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":3567,"base":2}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1404,"base":2},"right_expr":{"type":"numeric_atoms","value":2123,"base":2}}}}},"used_operators":["FyVja0WsTP","ztP7wcbY7m","s1XTVnmDOJ","uvdQJvN4PV","gub5Cegaqo","8N2wDY1A35","dWAJyo7jo9","zashukvMKz","fFznvYxMfW","tifHPKVTfV","yS9ePUuUdn","uWAJUKEvyW"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","k8jYdgA6NY","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"≮⫘↔100000100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8383","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=8383, right_input=3905, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-72546","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=1694, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7724","layer":3},{"info":"compute binary expreesion, left_input=-72546, right_input=7724, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-470","layer":1},{"info":"number node, value=6214","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=6214, right_input=1294, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3567","layer":4},{"info":"compute unary expreesion, input=3567, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=1404","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=2123, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-220","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-220, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-220","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-220, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-470, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=2084","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000010111111⩺⪪≮⫘↔111101000001≓∲≮⫘↔11011010111⩁⩘≮⫘↔11010011110)∈)⊱⇼⊻(≮⫘↔1100001000110⫗⊷⫓≮⫘↔10100001110⪢(≮⫘↔10001111001↦))≁((≮⫘↔110111101111⩺⋐⫨)⇼⇔∾≮⫘↔10101111100⊹∫⫚≮⫘↔100001001011)=≮⫘↔100000100100","reverse_text":"≮⫘↔100000100100=((≮⫘↔10000010111111⩺⪪≮⫘↔111101000001≓∲≮⫘↔11011010111⩁⩘≮⫘↔11010011110)∈)⊱⇼⊻(≮⫘↔1100001000110⫗⊷⫓≮⫘↔10100001110⪢(≮⫘↔10001111001↦))≁((≮⫘↔110111101111⩺⋐⫨)⇼⇔∾≮⫘↔10101111100⊹∫⫚≮⫘↔100001001011)","cot":[{"info":"≮⫘↔10000010111111⩺⪪≮⫘↔111101000001=≮⫘↔-10001101101100010","layer":3},{"info":"≮⫘↔11011010111⩁⩘≮⫘↔11010011110=≮⫘↔1111000101100","layer":3},{"info":"≮⫘↔-10001101101100010≓∲≮⫘↔1111000101100=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1000011∈=≮⫘↔-111010110","layer":1},{"info":"≮⫘↔1100001000110⫗⊷⫓≮⫘↔10100001110=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔10001111001↦=NaN","layer":3},{"info":"≮⫘↔-10000110⪢NaN=NaN","layer":2},{"info":"≮⫘↔110111101111⩺⋐⫨=≮⫘↔0","layer":3},{"info":"≮⫘↔10101111100⊹∫⫚≮⫘↔100001001011=≮⫘↔-11011100","layer":3},{"info":"≮⫘↔0⇼⇔∾≮⫘↔-11011100=≮⫘↔-11011100","layer":2},{"info":"NaN≁≮⫘↔-11011100=NaN","layer":1},{"info":"≮⫘↔-111010110⊱⇼⊻NaN=≮⫘↔100000100100","layer":0}]}
{"id":968,"expression_no_base_symbol":"((⫶⊄≣($4523$⇐≅))⪇≇⋚($5086$∠⫱$2907$)⫒⫫($2602$⫽⇹≛))⫣⪄⊒((↘$7981$≁$1314$)⨓(⇺⋃($1087$∙⊟$6126$)))","expression":"((⫶⊄≣(≮⫘↔1000110101011⇐≅))⪇≇⋚(≮⫘↔1001111011110∠⫱≮⫘↔101101011011)⫒⫫(≮⫘↔101000101010⫽⇹≛))⫣⪄⊒((↘≮⫘↔1111100101101≁≮⫘↔10100100010)⨓(⇺⋃(≮⫘↔10000111111∙⊟≮⫘↔1011111101110)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15011,"operation_count":12,"complexity_ratio":1250.9166666666667,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":4523,"base":2}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5086,"base":2},"right_expr":{"type":"numeric_atoms","value":2907,"base":2}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":2602,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":7981,"base":2},"right_expr":{"type":"numeric_atoms","value":1314,"base":2}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1087,"base":2},"right_expr":{"type":"numeric_atoms","value":6126,"base":2}}}}},"used_operators":["RabNbG55vr","3sJ7IOPOlU","wxb3vTeyAj","wEfv7U73WA","6Ko8hGgeMq","QvoQhV0rrE","NNaDxxp6OQ","3ViojmjbAp","LdNpr8hQHL","8N2wDY1A35","E5v5B3UAjG","SxTAKzQCrw"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","uFcxV4UQCh","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4523","layer":4},{"info":"compute unary expreesion, input=4523, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=13537","layer":3},{"info":"compute unary expreesion, input=13537, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=inf","layer":2},{"info":"number node, value=5086","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=5086, right_input=2907, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2602","layer":4},{"info":"compute unary expreesion, input=2602, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=272, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"number node, value=7981","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=7981, right_input=1314, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=18335","layer":3},{"info":"compute unary expreesion, input=18335, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=303","layer":2},{"info":"number node, value=1087","layer":4},{"info":"number node, value=6126","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=6126, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=23977","layer":3},{"info":"compute unary expreesion, input=23977, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=303, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"((⫶⊄≣(≮⫘↔1000110101011⇐≅))⪇≇⋚(≮⫘↔1001111011110∠⫱≮⫘↔101101011011)⫒⫫(≮⫘↔101000101010⫽⇹≛))⫣⪄⊒((↘≮⫘↔1111100101101≁≮⫘↔10100100010)⨓(⇺⋃(≮⫘↔10000111111∙⊟≮⫘↔1011111101110)))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((⫶⊄≣(≮⫘↔1000110101011⇐≅))⪇≇⋚(≮⫘↔1001111011110∠⫱≮⫘↔101101011011)⫒⫫(≮⫘↔101000101010⫽⇹≛))⫣⪄⊒((↘≮⫘↔1111100101101≁≮⫘↔10100100010)⨓(⇺⋃(≮⫘↔10000111111∙⊟≮⫘↔1011111101110)))","cot":[{"info":"≮⫘↔1000110101011⇐≅=≮⫘↔11010011100001","layer":3},{"info":"⫶⊄≣≮⫘↔11010011100001=Inf","layer":2},{"info":"≮⫘↔1001111011110∠⫱≮⫘↔101101011011=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔101000101010⫽⇹≛=≮⫘↔100010000","layer":3},{"info":"≮⫘↔10011010010⫒⫫≮⫘↔100010000=NaN","layer":2},{"info":"Inf⪇≇⋚NaN=NaN","layer":1},{"info":"≮⫘↔1111100101101≁≮⫘↔10100100010=≮⫘↔100011110011111","layer":3},{"info":"↘≮⫘↔100011110011111=≮⫘↔100101111","layer":2},{"info":"≮⫘↔10000111111∙⊟≮⫘↔1011111101110=≮⫘↔101110110101001","layer":3},{"info":"⇺⋃≮⫘↔101110110101001=NaN","layer":2},{"info":"≮⫘↔100101111⨓NaN=NaN","layer":1},{"info":"NaN⫣⪄⊒NaN=≮⫘↔10100000","layer":0}]}
{"id":969,"expression_no_base_symbol":"(($2179$⊱⇼⊻$6773$⫸⊐($5610$⫳≱↱$2555$))∑⇟⊟(⇜⊴$3017$)∀⇚≩$4094$⨻⩈⩔$1918$)⫗⊷⫓(⇁⨣⪵(⇵⪽($4717$⨭⪣$3500$)))","expression":"((≮⫘↔100010000011⊱⇼⊻≮⫘↔1101001110101⫸⊐(≮⫘↔1010111101010⫳≱↱≮⫘↔100111111011))∑⇟⊟(⇜⊴≮⫘↔101111001001)∀⇚≩≮⫘↔111111111110⨻⩈⩔≮⫘↔11101111110)⫗⊷⫓(⇁⨣⪵(⇵⪽(≮⫘↔1001001101101⨭⪣≮⫘↔110110101100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4976195,"operation_count":11,"complexity_ratio":452381.36363636365,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2179,"base":2},"right_expr":{"type":"numeric_atoms","value":6773,"base":2}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5610,"base":2},"right_expr":{"type":"numeric_atoms","value":2555,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3017,"base":2}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4094,"base":2},"right_expr":{"type":"numeric_atoms","value":1918,"base":2}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4717,"base":2},"right_expr":{"type":"numeric_atoms","value":3500,"base":2}}}}},"used_operators":["zashukvMKz","U7g4x0WXJJ","mqXw5SEYmG","FyVja0WsTP","ZvLB05nZmT","LRNGc0VcxI","XwDhCwWbUn","nEsXyWgiOK","inkyxCbjAn","ZGCBLdVRRX","kn8WO9XteQ"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","X99M06cbEe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","B5M0gjZbta","U7g4x0WXJJ","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":4},{"info":"number node, value=6773","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=6773, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=5610","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=5610, right_input=2555, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-204, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-941","layer":2},{"info":"number node, value=3017","layer":4},{"info":"compute unary expreesion, input=3017, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-698298","layer":3},{"info":"number node, value=4094","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=1918, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=24351","layer":3},{"info":"compute binary expreesion, left_input=-698298, right_input=24351, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-941, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4717","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=4717, right_input=3500, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3438","layer":3},{"info":"compute unary expreesion, input=3438, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100010000011⊱⇼⊻≮⫘↔1101001110101⫸⊐(≮⫘↔1010111101010⫳≱↱≮⫘↔100111111011))∑⇟⊟(⇜⊴≮⫘↔101111001001)∀⇚≩≮⫘↔111111111110⨻⩈⩔≮⫘↔11101111110)⫗⊷⫓(⇁⨣⪵(⇵⪽(≮⫘↔1001001101101⨭⪣≮⫘↔110110101100)))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=((≮⫘↔100010000011⊱⇼⊻≮⫘↔1101001110101⫸⊐(≮⫘↔1010111101010⫳≱↱≮⫘↔100111111011))∑⇟⊟(⇜⊴≮⫘↔101111001001)∀⇚≩≮⫘↔111111111110⨻⩈⩔≮⫘↔11101111110)⫗⊷⫓(⇁⨣⪵(⇵⪽(≮⫘↔1001001101101⨭⪣≮⫘↔110110101100)))","cot":[{"info":"≮⫘↔100010000011⊱⇼⊻≮⫘↔1101001110101=≮⫘↔110110010","layer":3},{"info":"≮⫘↔1010111101010⫳≱↱≮⫘↔100111111011=≮⫘↔-11001100","layer":3},{"info":"≮⫘↔110110010⫸⊐≮⫘↔-11001100=≮⫘↔-1110101101","layer":2},{"info":"⇜⊴≮⫘↔101111001001=≮⫘↔-10101010011110111010","layer":3},{"info":"≮⫘↔111111111110⨻⩈⩔≮⫘↔11101111110=≮⫘↔101111100011111","layer":3},{"info":"≮⫘↔-10101010011110111010∀⇚≩≮⫘↔101111100011111=NaN","layer":2},{"info":"≮⫘↔-1110101101∑⇟⊟NaN=NaN","layer":1},{"info":"≮⫘↔1001001101101⨭⪣≮⫘↔110110101100=≮⫘↔110101101110","layer":3},{"info":"⇵⪽≮⫘↔110101101110=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⫗⊷⫓NaN=≮⫘↔-10000110","layer":0}]}
{"id":970,"expression_no_base_symbol":"(($2641$≹⇙⪍$3420$)⩁⩘$1148$⇻⋧≁$4954$)⨼⩣(($3957$⪹)⫰⋱$4510$⨰$2492$)⫥∨⫟(∓⪦$3749$⪔⊥$2825$)⊲⩕⊾(⇜(↣≠⋷$1017$))","expression":"((≮⫘↔101001010001≹⇙⪍≮⫘↔110101011100)⩁⩘≮⫘↔10001111100⇻⋧≁≮⫘↔1001101011010)⨼⩣((≮⫘↔111101110101⪹)⫰⋱≮⫘↔1000110011110⨰≮⫘↔100110111100)⫥∨⫟(∓⪦≮⫘↔111010100101⪔⊥≮⫘↔101100001001)⊲⩕⊾(⇜(↣≠⋷≮⫘↔1111111001))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39859,"operation_count":13,"complexity_ratio":3066.076923076923,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2641,"base":2},"right_expr":{"type":"numeric_atoms","value":3420,"base":2}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1148,"base":2},"right_expr":{"type":"numeric_atoms","value":4954,"base":2}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3957,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4510,"base":2},"right_expr":{"type":"numeric_atoms","value":2492,"base":2}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3749,"base":2},"right_expr":{"type":"numeric_atoms","value":2825,"base":2}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1017,"base":2}}}}},"used_operators":["KYD54nUTWz","JxwMv5le6e","gub5Cegaqo","AHs5Up7iyr","jCPkEVoL5K","6o9Blt3TJ6","B3sABdIn96","eewbuw0ToL","DmTXOeWf9t","D309nIvmXG","HJ9erzHUuu","lFBm8KRb8F","Asc51vEJeQ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DpFCA1CohY","IWmyXbctLI","dWAJyo7jo9","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2641","layer":4},{"info":"number node, value=3420","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=3420, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=4954","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=4954, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"number node, value=3957","layer":4},{"info":"compute unary expreesion, input=3957, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=12406","layer":3},{"info":"number node, value=4510","layer":4},{"info":"number node, value=2492","layer":4},{"info":"compute binary expreesion, left_input=4510, right_input=2492, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2028","layer":3},{"info":"compute binary expreesion, left_input=12406, right_input=2028, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-12373","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12373, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=3749","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=2825, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9147","layer":3},{"info":"compute unary expreesion, input=9147, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=8739","layer":2},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8739, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001010001≹⇙⪍≮⫘↔110101011100)⩁⩘≮⫘↔10001111100⇻⋧≁≮⫘↔1001101011010)⨼⩣((≮⫘↔111101110101⪹)⫰⋱≮⫘↔1000110011110⨰≮⫘↔100110111100)⫥∨⫟(∓⪦≮⫘↔111010100101⪔⊥≮⫘↔101100001001)⊲⩕⊾(⇜(↣≠⋷≮⫘↔1111111001))=NaN","reverse_text":"NaN=((≮⫘↔101001010001≹⇙⪍≮⫘↔110101011100)⩁⩘≮⫘↔10001111100⇻⋧≁≮⫘↔1001101011010)⨼⩣((≮⫘↔111101110101⪹)⫰⋱≮⫘↔1000110011110⨰≮⫘↔100110111100)⫥∨⫟(∓⪦≮⫘↔111010100101⪔⊥≮⫘↔101100001001)⊲⩕⊾(⇜(↣≠⋷≮⫘↔1111111001))","cot":[{"info":"≮⫘↔101001010001≹⇙⪍≮⫘↔110101011100=NaN","layer":3},{"info":"≮⫘↔10001111100⇻⋧≁≮⫘↔1001101011010=≮⫘↔-110111111","layer":3},{"info":"NaN⩁⩘≮⫘↔-110111111=NaN","layer":2},{"info":"≮⫘↔111101110101⪹=≮⫘↔11000001110110","layer":3},{"info":"≮⫘↔1000110011110⨰≮⫘↔100110111100=≮⫘↔11111101100","layer":3},{"info":"≮⫘↔11000001110110⫰⋱≮⫘↔11111101100=≮⫘↔-11000001010101","layer":2},{"info":"NaN⨼⩣≮⫘↔-11000001010101=NaN","layer":1},{"info":"≮⫘↔111010100101⪔⊥≮⫘↔101100001001=≮⫘↔10001110111011","layer":3},{"info":"∓⪦≮⫘↔10001110111011=≮⫘↔10001000100011","layer":2},{"info":"↣≠⋷≮⫘↔1111111001=NaN","layer":3},{"info":"⇜NaN=NaN","layer":2},{"info":"≮⫘↔10001000100011⊲⩕⊾NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"(⩏⊷≩$3546$⋣⋖$2206$≠≀($1074$⩨$3528$))∛((($5538$⫠)⪛⫼($2922$⫸⊐$1241$))⪭≯($2946$↰)⇷$1831$⇷$2381$)","expression":"(⩏⊷≩≮⫘↔110111011010⋣⋖≮⫘↔100010011110≠≀(≮⫘↔10000110010⩨≮⫘↔110111001000))∛(((≮⫘↔1010110100010⫠)⪛⫼(≮⫘↔101101101010⫸⊐≮⫘↔10011011001))⪭≯(≮⫘↔101110000010↰)⇷≮⫘↔11100100111⇷≮⫘↔100101001101)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":143405,"operation_count":12,"complexity_ratio":11950.416666666666,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3546,"base":2},"right_expr":{"type":"numeric_atoms","value":2206,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1074,"base":2},"right_expr":{"type":"numeric_atoms","value":3528,"base":2}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":5538,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2922,"base":2},"right_expr":{"type":"numeric_atoms","value":1241,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":2946,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1831,"base":2},"right_expr":{"type":"numeric_atoms","value":2381,"base":2}}}}},"used_operators":["w2537kitQq","uOZ1tnYMDE","IwW236VD4Y","J0M6qkBnIM","2DlMacCsIx","XAx5wpdLa6","hyuBjUqXlG","6SnOT2rOjz","mqXw5SEYmG","mp7IySMOzn","bl5wxAcryP"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","23Mk6UjR3U","12rbrZMWeM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3546","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=3546, right_input=2206, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3546","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=3528, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"compute binary expreesion, left_input=3546, right_input=-9, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3658","layer":2},{"info":"compute unary expreesion, input=-3658, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=15246","layer":1},{"info":"number node, value=5538","layer":4},{"info":"compute unary expreesion, input=5538, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=2922","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=1241, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4839","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4839, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=2946","layer":4},{"info":"compute unary expreesion, input=2946, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=2845","layer":3},{"info":"number node, value=1831","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=2381, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4762","layer":3},{"info":"compute binary expreesion, left_input=2845, right_input=4762, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9524","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=9524, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=15246, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(⩏⊷≩≮⫘↔110111011010⋣⋖≮⫘↔100010011110≠≀(≮⫘↔10000110010⩨≮⫘↔110111001000))∛(((≮⫘↔1010110100010⫠)⪛⫼(≮⫘↔101101101010⫸⊐≮⫘↔10011011001))⪭≯(≮⫘↔101110000010↰)⇷≮⫘↔11100100111⇷≮⫘↔100101001101)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(⩏⊷≩≮⫘↔110111011010⋣⋖≮⫘↔100010011110≠≀(≮⫘↔10000110010⩨≮⫘↔110111001000))∛(((≮⫘↔1010110100010⫠)⪛⫼(≮⫘↔101101101010⫸⊐≮⫘↔10011011001))⪭≯(≮⫘↔101110000010↰)⇷≮⫘↔11100100111⇷≮⫘↔100101001101)","cot":[{"info":"≮⫘↔110111011010⋣⋖≮⫘↔100010011110=≮⫘↔110111011010","layer":3},{"info":"≮⫘↔10000110010⩨≮⫘↔110111001000=≮⫘↔-1001","layer":3},{"info":"≮⫘↔110111011010≠≀≮⫘↔-1001=≮⫘↔-111001001010","layer":2},{"info":"⩏⊷≩≮⫘↔-111001001010=≮⫘↔11101110001110","layer":1},{"info":"≮⫘↔1010110100010⫠=≮⫘↔0","layer":3},{"info":"≮⫘↔101101101010⫸⊐≮⫘↔10011011001=≮⫘↔1001011100111","layer":3},{"info":"≮⫘↔0⪛⫼≮⫘↔1001011100111=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔101110000010↰=≮⫘↔101100011101","layer":3},{"info":"≮⫘↔11100100111⇷≮⫘↔100101001101=≮⫘↔1001010011010","layer":3},{"info":"≮⫘↔101100011101⇷≮⫘↔1001010011010=≮⫘↔10010100110100","layer":2},{"info":"≮⫘↔1111001000⪭≯≮⫘↔10010100110100=NaN","layer":1},{"info":"≮⫘↔11101110001110∛NaN=≮⫘↔1000011","layer":0}]}
{"id":972,"expression_no_base_symbol":"((⊑$6072$)⫲≸⪮($1949$⨵⪆$1513$)↡⊰⫅($2613$↤⩊$1774$⨵⪆$1084$⨒$1558$))≥⨤⩑((⇜($2222$⊢))∛≔)","expression":"((⊑≮⫘↔1011110111000)⫲≸⪮(≮⫘↔11110011101⨵⪆≮⫘↔10111101001)↡⊰⫅(≮⫘↔101000110101↤⩊≮⫘↔11011101110⨵⪆≮⫘↔10000111100⨒≮⫘↔11000010110))≥⨤⩑((⇜(≮⫘↔100010101110⊢))∛≔)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4279153,"operation_count":11,"complexity_ratio":389013.9090909091,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":6072,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1949,"base":2},"right_expr":{"type":"numeric_atoms","value":1513,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2613,"base":2},"right_expr":{"type":"numeric_atoms","value":1774,"base":2}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1084,"base":2},"right_expr":{"type":"numeric_atoms","value":1558,"base":2}}}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2222,"base":2}}}}},"used_operators":["gJLn6v0xnP","VCtxkLNOzz","P3lXMJvFrc","IkUmn0D7oy","2DQ55sFlQl","13rbtpv6ld","y75s1iXyHd","mGnSCrte3L","lFBm8KRb8F","40aOVDgCDB"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","NTOWxs364D"],"result":"≮⫘↔1010000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6072","layer":4},{"info":"compute unary expreesion, input=6072, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1949","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=1513, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=192","layer":2},{"info":"number node, value=2613","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=2613, right_input=1774, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1558, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6132","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6132, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=320","layer":1},{"info":"number node, value=2222","layer":4},{"info":"compute unary expreesion, input=2222, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2469","layer":3},{"info":"compute unary expreesion, input=-2469, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute unary expreesion, input=232, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":1},{"info":"compute binary expreesion, left_input=320, right_input=-305287, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=640","layer":0}],"base":2,"result_base":2,"text":"((⊑≮⫘↔1011110111000)⫲≸⪮(≮⫘↔11110011101⨵⪆≮⫘↔10111101001)↡⊰⫅(≮⫘↔101000110101↤⩊≮⫘↔11011101110⨵⪆≮⫘↔10000111100⨒≮⫘↔11000010110))≥⨤⩑((⇜(≮⫘↔100010101110⊢))∛≔)=≮⫘↔1010000000","reverse_text":"≮⫘↔1010000000=((⊑≮⫘↔1011110111000)⫲≸⪮(≮⫘↔11110011101⨵⪆≮⫘↔10111101001)↡⊰⫅(≮⫘↔101000110101↤⩊≮⫘↔11011101110⨵⪆≮⫘↔10000111100⨒≮⫘↔11000010110))≥⨤⩑((⇜(≮⫘↔100010101110⊢))∛≔)","cot":[{"info":"⊑≮⫘↔1011110111000=≮⫘↔11000000","layer":3},{"info":"≮⫘↔11110011101⨵⪆≮⫘↔10111101001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11000000⫲≸⪮≮⫘↔10100000=≮⫘↔11000000","layer":2},{"info":"≮⫘↔101000110101↤⩊≮⫘↔11011101110=NaN","layer":3},{"info":"≮⫘↔10000111100⨒≮⫘↔11000010110=≮⫘↔-1011111110100","layer":3},{"info":"NaN⨵⪆≮⫘↔-1011111110100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔11000000↡⊰⫅≮⫘↔10100000=≮⫘↔101000000","layer":1},{"info":"≮⫘↔100010101110⊢=≮⫘↔-100110100101","layer":3},{"info":"⇜≮⫘↔-100110100101=≮⫘↔11101000","layer":2},{"info":"≮⫘↔11101000∛≔=≮⫘↔-1001010100010000111","layer":1},{"info":"≮⫘↔101000000≥⨤⩑≮⫘↔-1001010100010000111=≮⫘↔1010000000","layer":0}]}
{"id":973,"expression_no_base_symbol":"($6232$⨽∌$1154$∌($4060$⊪))⫁($1533$⊭↱$3050$∷(+⊝⨔$1456$))⋭≵($5801$↸$1064$/$4210$⪝$5591$∕⩚($2023$⫍⨯↯)⇍⊗$5368$⫗⊷⫓$1825$)","expression":"(≮⫘↔1100001011000⨽∌≮⫘↔10010000010∌(≮⫘↔111111011100⊪))⫁(≮⫘↔10111111101⊭↱≮⫘↔101111101010∷(+⊝⨔≮⫘↔10110110000))⋭≵(≮⫘↔1011010101001↸≮⫘↔10000101000/≮⫘↔1000001110010⪝≮⫘↔1010111010111∕⩚(≮⫘↔11111100111⫍⨯↯)⇍⊗≮⫘↔1010011111000⫗⊷⫓≮⫘↔11100100001)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1419592,"operation_count":15,"complexity_ratio":94639.46666666666,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6232,"base":2},"right_expr":{"type":"numeric_atoms","value":1154,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4060,"base":2}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1533,"base":2},"right_expr":{"type":"numeric_atoms","value":3050,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1456,"base":2}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5801,"base":2},"right_expr":{"type":"numeric_atoms","value":1064,"base":2}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4210,"base":2},"right_expr":{"type":"numeric_atoms","value":5591,"base":2}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":2023,"base":2}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5368,"base":2},"right_expr":{"type":"numeric_atoms","value":1825,"base":2}}}}},"used_operators":["jBncVCNhdl","0ajvFaJAv0","8cLx32lpNA","9samAPKr6k","zVYPLywUTj","D3AQDKkPcf","COABgblf1C","DhbWaqg5eL","z9ffQ9n5Zr","XhwjNDsVaA","1eCjFl0mb9","wicAB68Tmb","5uvYHDjeKN","ZcwmYACASQ","zashukvMKz"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"≮⫘↔-1001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6232","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=6232, right_input=1154, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=4060","layer":4},{"info":"compute unary expreesion, input=4060, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=0","layer":2},{"info":"number node, value=1533","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=3050, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3039","layer":3},{"info":"number node, value=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=3039, right_input=1522, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=5801","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=5801, right_input=1064, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5801","layer":3},{"info":"number node, value=4210","layer":4},{"info":"number node, value=5591","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=5591, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=5801, right_input=237, op_id = XhwjNDsVaA binary_op_definition= 'None', output=24","layer":2},{"info":"number node, value=2023","layer":4},{"info":"compute unary expreesion, input=2023, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1990","layer":3},{"info":"number node, value=5368","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=5368, right_input=1825, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1990, right_input=-134, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=24, right_input=-244, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-487, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-75","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100001011000⨽∌≮⫘↔10010000010∌(≮⫘↔111111011100⊪))⫁(≮⫘↔10111111101⊭↱≮⫘↔101111101010∷(+⊝⨔≮⫘↔10110110000))⋭≵(≮⫘↔1011010101001↸≮⫘↔10000101000/≮⫘↔1000001110010⪝≮⫘↔1010111010111∕⩚(≮⫘↔11111100111⫍⨯↯)⇍⊗≮⫘↔1010011111000⫗⊷⫓≮⫘↔11100100001)=≮⫘↔-1001011","reverse_text":"≮⫘↔-1001011=(≮⫘↔1100001011000⨽∌≮⫘↔10010000010∌(≮⫘↔111111011100⊪))⫁(≮⫘↔10111111101⊭↱≮⫘↔101111101010∷(+⊝⨔≮⫘↔10110110000))⋭≵(≮⫘↔1011010101001↸≮⫘↔10000101000/≮⫘↔1000001110010⪝≮⫘↔1010111010111∕⩚(≮⫘↔11111100111⫍⨯↯)⇍⊗≮⫘↔1010011111000⫗⊷⫓≮⫘↔11100100001)","cot":[{"info":"≮⫘↔1100001011000⨽∌≮⫘↔10010000010=≮⫘↔0","layer":3},{"info":"≮⫘↔111111011100⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔0∌≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔10111111101⊭↱≮⫘↔101111101010=≮⫘↔101111011111","layer":3},{"info":"+⊝⨔≮⫘↔10110110000=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔101111011111∷≮⫘↔10111110010=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔0⫁≮⫘↔10111110010=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1011010101001↸≮⫘↔10000101000=≮⫘↔1011010101001","layer":3},{"info":"≮⫘↔1000001110010⪝≮⫘↔1010111010111=≮⫘↔11101101","layer":3},{"info":"≮⫘↔1011010101001/≮⫘↔11101101=≮⫘↔11000","layer":2},{"info":"≮⫘↔11111100111⫍⨯↯=≮⫘↔11111000110","layer":3},{"info":"≮⫘↔1010011111000⫗⊷⫓≮⫘↔11100100001=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔11111000110⇍⊗≮⫘↔-10000110=≮⫘↔-11110100","layer":2},{"info":"≮⫘↔11000∕⩚≮⫘↔-11110100=≮⫘↔-111100111","layer":1},{"info":"≮⫘↔10100000⋭≵≮⫘↔-111100111=≮⫘↔-1001011","layer":0}]}
{"id":974,"expression_no_base_symbol":"(($4637$⋳⪒$2338$)⋛(∓$3063$)↸(⊆⋠$1040$)≚⊃≕$5894$↳≱$1110$)⪪((⩷$5834$)⪟⇏($6592$∠⫱$2375$)⨵⪆($1951$⇉⇉)↢($9203$⩼⇪↪$5524$))","expression":"((≮⫘↔1001000011101⋳⪒≮⫘↔100100100010)⋛(∓≮⫘↔101111110111)↸(⊆⋠≮⫘↔10000010000)≚⊃≕≮⫘↔1011100000110↳≱≮⫘↔10001010110)⪪((⩷≮⫘↔1011011001010)⪟⇏(≮⫘↔1100111000000∠⫱≮⫘↔100101000111)⨵⪆(≮⫘↔11110011111⇉⇉)↢(≮⫘↔10001111110011⩼⇪↪≮⫘↔1010110010100))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4215,"operation_count":15,"complexity_ratio":281.0,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4637,"base":2},"right_expr":{"type":"numeric_atoms","value":2338,"base":2}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":3063,"base":2}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1040,"base":2}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5894,"base":2},"right_expr":{"type":"numeric_atoms","value":1110,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":5834,"base":2}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6592,"base":2},"right_expr":{"type":"numeric_atoms","value":2375,"base":2}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1951,"base":2}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":9203,"base":2},"right_expr":{"type":"numeric_atoms","value":5524,"base":2}}}}},"used_operators":["xD69zh8xqp","1eCjFl0mb9","YbUVn0Rbpy","12rbrZMWeM","OwUj7dcsQK","Bmrmz2XGnR","EBhcHTkKd8","JwTKLfZU96","2DQ55sFlQl","GODebY97qR","1h0rLqGiFr","QvoQhV0rrE","WR6HLWljOP","diKm42VcIt","ocnLzx9CaJ"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≮⫘↔-1100000111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4637","layer":4},{"info":"number node, value=2338","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=2338, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6649","layer":3},{"info":"number node, value=3063","layer":4},{"info":"compute unary expreesion, input=3063, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-50817","layer":3},{"info":"compute binary expreesion, left_input=6649, right_input=-50817, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-151806","layer":2},{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=5894","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=5894, right_input=1110, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-3496","layer":2},{"info":"compute binary expreesion, left_input=-151806, right_input=-3496, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-151806","layer":1},{"info":"number node, value=5834","layer":4},{"info":"compute unary expreesion, input=5834, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-70087","layer":3},{"info":"number node, value=6592","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=6592, right_input=2375, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-70087, right_input=1234, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1951","layer":4},{"info":"compute unary expreesion, input=1951, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-117924","layer":3},{"info":"number node, value=9203","layer":4},{"info":"number node, value=5524","layer":4},{"info":"compute binary expreesion, left_input=9203, right_input=5524, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-21045","layer":3},{"info":"compute binary expreesion, left_input=-117924, right_input=-21045, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-277938","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-277938, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-151806, right_input=160, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001000011101⋳⪒≮⫘↔100100100010)⋛(∓≮⫘↔101111110111)↸(⊆⋠≮⫘↔10000010000)≚⊃≕≮⫘↔1011100000110↳≱≮⫘↔10001010110)⪪((⩷≮⫘↔1011011001010)⪟⇏(≮⫘↔1100111000000∠⫱≮⫘↔100101000111)⨵⪆(≮⫘↔11110011111⇉⇉)↢(≮⫘↔10001111110011⩼⇪↪≮⫘↔1010110010100))=≮⫘↔-1100000111110","reverse_text":"≮⫘↔-1100000111110=((≮⫘↔1001000011101⋳⪒≮⫘↔100100100010)⋛(∓≮⫘↔101111110111)↸(⊆⋠≮⫘↔10000010000)≚⊃≕≮⫘↔1011100000110↳≱≮⫘↔10001010110)⪪((⩷≮⫘↔1011011001010)⪟⇏(≮⫘↔1100111000000∠⫱≮⫘↔100101000111)⨵⪆(≮⫘↔11110011111⇉⇉)↢(≮⫘↔10001111110011⩼⇪↪≮⫘↔1010110010100))","cot":[{"info":"≮⫘↔1001000011101⋳⪒≮⫘↔100100100010=≮⫘↔1100111111001","layer":3},{"info":"∓≮⫘↔101111110111=≮⫘↔-1100011010000001","layer":3},{"info":"≮⫘↔1100111111001⋛≮⫘↔-1100011010000001=≮⫘↔-100101000011111110","layer":2},{"info":"⊆⋠≮⫘↔10000010000=≮⫘↔0","layer":3},{"info":"≮⫘↔1011100000110↳≱≮⫘↔10001010110=≮⫘↔0","layer":3},{"info":"≮⫘↔0≚⊃≕≮⫘↔0=≮⫘↔-110110101000","layer":2},{"info":"≮⫘↔-100101000011111110↸≮⫘↔-110110101000=≮⫘↔-100101000011111110","layer":1},{"info":"⩷≮⫘↔1011011001010=≮⫘↔-10001000111000111","layer":3},{"info":"≮⫘↔1100111000000∠⫱≮⫘↔100101000111=≮⫘↔10011010010","layer":3},{"info":"≮⫘↔-10001000111000111⪟⇏≮⫘↔10011010010=≮⫘↔0","layer":2},{"info":"≮⫘↔11110011111⇉⇉=≮⫘↔-11100110010100100","layer":3},{"info":"≮⫘↔10001111110011⩼⇪↪≮⫘↔1010110010100=≮⫘↔-101001000110101","layer":3},{"info":"≮⫘↔-11100110010100100↢≮⫘↔-101001000110101=≮⫘↔-1000011110110110010","layer":2},{"info":"≮⫘↔0⨵⪆≮⫘↔-1000011110110110010=≮⫘↔10100000","layer":1},{"info":"≮⫘↔-100101000011111110⪪≮⫘↔10100000=≮⫘↔-1100000111110","layer":0}]}
{"id":975,"expression_no_base_symbol":"(⪸$4272$)≁↽≥($3513$∛$1379$)⪥((⊈$1775$)⫸⊐($6437$∪⫐$6950$))∣(($4616$⫦⪉$1211$)⪃⊛⇣($4366$⩁⩘$1383$)⫲≸⪮($2963$⪍↜⋙$2919$⊭↱($4647$⫡⨏$7793$)))","expression":"(⪸≮⫘↔1000010110000)≁↽≥(≮⫘↔110110111001∛≮⫘↔10101100011)⪥((⊈≮⫘↔11011101111)⫸⊐(≮⫘↔1100100100101∪⫐≮⫘↔1101100100110))∣((≮⫘↔1001000001000⫦⪉≮⫘↔10010111011)⪃⊛⇣(≮⫘↔1000100001110⩁⩘≮⫘↔10101100111)⫲≸⪮(≮⫘↔101110010011⪍↜⋙≮⫘↔101101100111⊭↱(≮⫘↔1001000100111⫡⨏≮⫘↔1111001110001)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2104,"operation_count":15,"complexity_ratio":140.26666666666668,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":4272,"base":2}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3513,"base":2},"right_expr":{"type":"numeric_atoms","value":1379,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1775,"base":2}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6437,"base":2},"right_expr":{"type":"numeric_atoms","value":6950,"base":2}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4616,"base":2},"right_expr":{"type":"numeric_atoms","value":1211,"base":2}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4366,"base":2},"right_expr":{"type":"numeric_atoms","value":1383,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2963,"base":2},"right_expr":{"type":"numeric_atoms","value":2919,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4647,"base":2},"right_expr":{"type":"numeric_atoms","value":7793,"base":2}}}}},"used_operators":["PPChnnnBFF","QbnwKVWMIQ","ncHt1X6cMc","86A5ENbKR9","w2537kitQq","mqXw5SEYmG","RHru8klgy8","7YooWSwCyH","P3lXMJvFrc","rrgAzCduG9","wscyQdcy20","gub5Cegaqo","COABgblf1C","L05ObWFQCd","QMFrweE19q"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","oWn0xqSxBt","3Oe9XWJUTD","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","12rbrZMWeM","xUOZtlo3hN","rJVOvQCfKK","2DDjHMKMc0","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1001000101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4272","layer":4},{"info":"compute unary expreesion, input=4272, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-72415","layer":3},{"info":"number node, value=3513","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=1379, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-72415, right_input=67, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"number node, value=1775","layer":4},{"info":"compute unary expreesion, input=1775, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1949","layer":3},{"info":"number node, value=6437","layer":4},{"info":"number node, value=6950","layer":4},{"info":"compute binary expreesion, left_input=6437, right_input=6950, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6437","layer":3},{"info":"compute binary expreesion, left_input=-1949, right_input=6437, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4652","layer":1},{"info":"number node, value=4616","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=4616, right_input=1211, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4332","layer":3},{"info":"number node, value=4366","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=1383, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6480","layer":3},{"info":"compute binary expreesion, left_input=-4332, right_input=6480, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=2963","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=2919, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=88","layer":3},{"info":"number node, value=4647","layer":4},{"info":"number node, value=7793","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=7793, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=39604","layer":3},{"info":"compute binary expreesion, left_input=88, right_input=39604, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=79037","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=79037, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=4652, right_input=1234, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4652","layer":0}],"base":2,"result_base":2,"text":"(⪸≮⫘↔1000010110000)≁↽≥(≮⫘↔110110111001∛≮⫘↔10101100011)⪥((⊈≮⫘↔11011101111)⫸⊐(≮⫘↔1100100100101∪⫐≮⫘↔1101100100110))∣((≮⫘↔1001000001000⫦⪉≮⫘↔10010111011)⪃⊛⇣(≮⫘↔1000100001110⩁⩘≮⫘↔10101100111)⫲≸⪮(≮⫘↔101110010011⪍↜⋙≮⫘↔101101100111⊭↱(≮⫘↔1001000100111⫡⨏≮⫘↔1111001110001)))=≮⫘↔1001000101100","reverse_text":"≮⫘↔1001000101100=(⪸≮⫘↔1000010110000)≁↽≥(≮⫘↔110110111001∛≮⫘↔10101100011)⪥((⊈≮⫘↔11011101111)⫸⊐(≮⫘↔1100100100101∪⫐≮⫘↔1101100100110))∣((≮⫘↔1001000001000⫦⪉≮⫘↔10010111011)⪃⊛⇣(≮⫘↔1000100001110⩁⩘≮⫘↔10101100111)⫲≸⪮(≮⫘↔101110010011⪍↜⋙≮⫘↔101101100111⊭↱(≮⫘↔1001000100111⫡⨏≮⫘↔1111001110001)))","cot":[{"info":"⪸≮⫘↔1000010110000=≮⫘↔-10001101011011111","layer":3},{"info":"≮⫘↔110110111001∛≮⫘↔10101100011=≮⫘↔1000011","layer":3},{"info":"≮⫘↔-10001101011011111≁↽≥≮⫘↔1000011=≮⫘↔0","layer":2},{"info":"⊈≮⫘↔11011101111=≮⫘↔-11110011101","layer":3},{"info":"≮⫘↔1100100100101∪⫐≮⫘↔1101100100110=≮⫘↔1100100100101","layer":3},{"info":"≮⫘↔-11110011101⫸⊐≮⫘↔1100100100101=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔0⪥≮⫘↔1111001000=≮⫘↔1001000101100","layer":1},{"info":"≮⫘↔1001000001000⫦⪉≮⫘↔10010111011=≮⫘↔-1000011101100","layer":3},{"info":"≮⫘↔1000100001110⩁⩘≮⫘↔10101100111=≮⫘↔1100101010000","layer":3},{"info":"≮⫘↔-1000011101100⪃⊛⇣≮⫘↔1100101010000=≮⫘↔10011010010","layer":2},{"info":"≮⫘↔101110010011⪍↜⋙≮⫘↔101101100111=≮⫘↔1011000","layer":3},{"info":"≮⫘↔1001000100111⫡⨏≮⫘↔1111001110001=≮⫘↔1001101010110100","layer":3},{"info":"≮⫘↔1011000⊭↱≮⫘↔1001101010110100=≮⫘↔10011010010111101","layer":2},{"info":"≮⫘↔10011010010⫲≸⪮≮⫘↔10011010010111101=≮⫘↔10011010010","layer":1},{"info":"≮⫘↔1001000101100∣≮⫘↔10011010010=≮⫘↔1001000101100","layer":0}]}
{"id":976,"expression_no_base_symbol":"($6362$≠≀$2479$)⫁(⇖⫷⫕$2571$)⨜⨶(⇜$3581$≁$2258$)⇌⫙⪟((↘($1115$⪒$2351$))⫡⨏(⊊≼∋(⫟$7455$)))","expression":"(≮⫘↔1100011011010≠≀≮⫘↔100110101111)⫁(⇖⫷⫕≮⫘↔101000001011)⨜⨶(⇜≮⫘↔110111111101≁≮⫘↔100011010010)⇌⫙⪟((↘(≮⫘↔10001011011⪒≮⫘↔100100101111))⫡⨏(⊊≼∋(⫟≮⫘↔1110100011111)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1353,"operation_count":12,"complexity_ratio":112.75,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6362,"base":2},"right_expr":{"type":"numeric_atoms","value":2479,"base":2}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2571,"base":2}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3581,"base":2},"right_expr":{"type":"numeric_atoms","value":2258,"base":2}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1115,"base":2},"right_expr":{"type":"numeric_atoms","value":2351,"base":2}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":7455,"base":2}}}}},"used_operators":["AFVx7xoS7T","HiPekx5b7W","0ajvFaJAv0","IwW236VD4Y","UHmRx3INFg","lFBm8KRb8F","8N2wDY1A35","QMFrweE19q","LdNpr8hQHL","f6k1SAg4EE","FWz7pXsQhA","z4E1FaHLuy"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6362","layer":4},{"info":"number node, value=2479","layer":4},{"info":"compute binary expreesion, left_input=6362, right_input=2479, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-12418","layer":3},{"info":"number node, value=2571","layer":4},{"info":"compute unary expreesion, input=2571, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-12418, right_input=2822, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=3581","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=3581, right_input=2258, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=40991","layer":3},{"info":"compute unary expreesion, input=40991, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-328336","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-328336, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1967633","layer":1},{"info":"number node, value=1115","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=2351, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3466","layer":3},{"info":"compute unary expreesion, input=-3466, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=62","layer":2},{"info":"number node, value=7455","layer":4},{"info":"compute unary expreesion, input=7455, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-21458","layer":3},{"info":"compute unary expreesion, input=-21458, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=62, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1967633, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100011011010≠≀≮⫘↔100110101111)⫁(⇖⫷⫕≮⫘↔101000001011)⨜⨶(⇜≮⫘↔110111111101≁≮⫘↔100011010010)⇌⫙⪟((↘(≮⫘↔10001011011⪒≮⫘↔100100101111))⫡⨏(⊊≼∋(⫟≮⫘↔1110100011111)))=NaN","reverse_text":"NaN=(≮⫘↔1100011011010≠≀≮⫘↔100110101111)⫁(⇖⫷⫕≮⫘↔101000001011)⨜⨶(⇜≮⫘↔110111111101≁≮⫘↔100011010010)⇌⫙⪟((↘(≮⫘↔10001011011⪒≮⫘↔100100101111))⫡⨏(⊊≼∋(⫟≮⫘↔1110100011111)))","cot":[{"info":"≮⫘↔1100011011010≠≀≮⫘↔100110101111=≮⫘↔-11000010000010","layer":3},{"info":"⇖⫷⫕≮⫘↔101000001011=≮⫘↔101100000110","layer":3},{"info":"≮⫘↔-11000010000010⫁≮⫘↔101100000110=≮⫘↔10100000","layer":2},{"info":"≮⫘↔110111111101≁≮⫘↔100011010010=≮⫘↔1010000000011111","layer":3},{"info":"⇜≮⫘↔1010000000011111=≮⫘↔-1010000001010010000","layer":2},{"info":"≮⫘↔10100000⨜⨶≮⫘↔-1010000001010010000=≮⫘↔-111100000011000010001","layer":1},{"info":"≮⫘↔10001011011⪒≮⫘↔100100101111=≮⫘↔-110110001010","layer":3},{"info":"↘≮⫘↔-110110001010=≮⫘↔111110","layer":2},{"info":"⫟≮⫘↔1110100011111=≮⫘↔-101001111010010","layer":3},{"info":"⊊≼∋≮⫘↔-101001111010010=NaN","layer":2},{"info":"≮⫘↔111110⫡⨏NaN=NaN","layer":1},{"info":"≮⫘↔-111100000011000010001⇌⫙⪟NaN=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"(⨣⨃⇪($1070$∠↢$7826$))⋳⪒((∟⋨$1027$)-$4412$⨎$2035$)≬⋮($1809$⋕⪉⪜$2502$)⫗⊷⫓(∥⊫$1081$)⊝⪿⪼($2269$⋥≓≎$1756$)⨸($3629$⫣⪄⊒$2460$)","expression":"(⨣⨃⇪(≮⫘↔10000101110∠↢≮⫘↔1111010010010))⋳⪒((∟⋨≮⫘↔10000000011)-≮⫘↔1000100111100⨎≮⫘↔11111110011)≬⋮(≮⫘↔11100010001⋕⪉⪜≮⫘↔100111000110)⫗⊷⫓(∥⊫≮⫘↔10000111001)⊝⪿⪼(≮⫘↔100011011101⋥≓≎≮⫘↔11011011100)⨸(≮⫘↔111000101101⫣⪄⊒≮⫘↔100110011100)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1516237,"operation_count":14,"complexity_ratio":108302.64285714286,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1070,"base":2},"right_expr":{"type":"numeric_atoms","value":7826,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1027,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4412,"base":2},"right_expr":{"type":"numeric_atoms","value":2035,"base":2}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1809,"base":2},"right_expr":{"type":"numeric_atoms","value":2502,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1081,"base":2}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2269,"base":2},"right_expr":{"type":"numeric_atoms","value":1756,"base":2}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3629,"base":2},"right_expr":{"type":"numeric_atoms","value":2460,"base":2}}}}},"used_operators":["kbkesczE7y","12rbrZMWeM","AcOhelriW5","KbjG8mgYpV","rysDP5nf3Z","ctOc4cKSDt","rJVOvQCfKK","3Oe9XWJUTD","zashukvMKz","z6LnFrNh4i","P8v4zCKN1o","KmoU8R5UQR","Qy55tPpLXF","RabNbG55vr"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"≮⫘↔1101100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":4},{"info":"number node, value=7826","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=7826, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-112762","layer":3},{"info":"compute unary expreesion, input=-112762, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-543","layer":3},{"info":"number node, value=4412","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=4412, right_input=2035, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2035","layer":3},{"info":"compute binary expreesion, left_input=-543, right_input=2035, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2578","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=-2578, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5101","layer":1},{"info":"number node, value=1809","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=2502, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1949","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=1949, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=2269","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=1756, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1276","layer":3},{"info":"number node, value=3629","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=3629, right_input=2460, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-8014","layer":3},{"info":"compute binary expreesion, left_input=1276, right_input=-8014, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2552","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=2552, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=7922","layer":1},{"info":"compute binary expreesion, left_input=5101, right_input=7922, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":2,"result_base":2,"text":"(⨣⨃⇪(≮⫘↔10000101110∠↢≮⫘↔1111010010010))⋳⪒((∟⋨≮⫘↔10000000011)-≮⫘↔1000100111100⨎≮⫘↔11111110011)≬⋮(≮⫘↔11100010001⋕⪉⪜≮⫘↔100111000110)⫗⊷⫓(∥⊫≮⫘↔10000111001)⊝⪿⪼(≮⫘↔100011011101⋥≓≎≮⫘↔11011011100)⨸(≮⫘↔111000101101⫣⪄⊒≮⫘↔100110011100)=≮⫘↔1101100100","reverse_text":"≮⫘↔1101100100=(⨣⨃⇪(≮⫘↔10000101110∠↢≮⫘↔1111010010010))⋳⪒((∟⋨≮⫘↔10000000011)-≮⫘↔1000100111100⨎≮⫘↔11111110011)≬⋮(≮⫘↔11100010001⋕⪉⪜≮⫘↔100111000110)⫗⊷⫓(∥⊫≮⫘↔10000111001)⊝⪿⪼(≮⫘↔100011011101⋥≓≎≮⫘↔11011011100)⨸(≮⫘↔111000101101⫣⪄⊒≮⫘↔100110011100)","cot":[{"info":"≮⫘↔10000101110∠↢≮⫘↔1111010010010=≮⫘↔-11011100001111010","layer":3},{"info":"⨣⨃⇪≮⫘↔-11011100001111010=≮⫘↔10101111101","layer":2},{"info":"∟⋨≮⫘↔10000000011=≮⫘↔-1000011111","layer":3},{"info":"≮⫘↔1000100111100⨎≮⫘↔11111110011=≮⫘↔11111110011","layer":3},{"info":"≮⫘↔-1000011111-≮⫘↔11111110011=≮⫘↔-101000010010","layer":2},{"info":"≮⫘↔10101111101⋳⪒≮⫘↔-101000010010=≮⫘↔1001111101101","layer":1},{"info":"≮⫘↔11100010001⋕⪉⪜≮⫘↔100111000110=≮⫘↔11001100","layer":3},{"info":"∥⊫≮⫘↔10000111001=≮⫘↔11110011101","layer":3},{"info":"≮⫘↔11001100⫗⊷⫓≮⫘↔11110011101=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔100011011101⋥≓≎≮⫘↔11011011100=≮⫘↔10011111100","layer":3},{"info":"≮⫘↔111000101101⫣⪄⊒≮⫘↔100110011100=≮⫘↔-1111101001110","layer":3},{"info":"≮⫘↔10011111100⨸≮⫘↔-1111101001110=≮⫘↔100111111000","layer":2},{"info":"≮⫘↔-10000110⊝⪿⪼≮⫘↔100111111000=≮⫘↔1111011110010","layer":1},{"info":"≮⫘↔1001111101101≬⋮≮⫘↔1111011110010=≮⫘↔1101100100","layer":0}]}
{"id":978,"expression_no_base_symbol":"($5294$⪘⫢$1990$)∀⇚≩$2181$⨚⇆$2173$∷$1611$⨼⩣$5626$⨐⩸⫘($2611$∐⫣)⨵⪆(⫟($7889$⋹))↡⊰⫅$7140$≬⇓$2130$∙⊟($1364$⩭)","expression":"(≮⫘↔1010010101110⪘⫢≮⫘↔11111000110)∀⇚≩≮⫘↔100010000101⨚⇆≮⫘↔100001111101∷≮⫘↔11001001011⨼⩣≮⫘↔1010111111010⨐⩸⫘(≮⫘↔101000110011∐⫣)⨵⪆(⫟(≮⫘↔1111011010001⋹))↡⊰⫅≮⫘↔1101111100100≬⇓≮⫘↔100001010010∙⊟(≮⫘↔10101010100⩭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":741760,"operation_count":14,"complexity_ratio":52982.857142857145,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5294,"base":2},"right_expr":{"type":"numeric_atoms","value":1990,"base":2}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2181,"base":2},"right_expr":{"type":"numeric_atoms","value":2173,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1611,"base":2},"right_expr":{"type":"numeric_atoms","value":5626,"base":2}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2611,"base":2}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":7889,"base":2}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":7140,"base":2},"right_expr":{"type":"numeric_atoms","value":2130,"base":2}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1364,"base":2}}}}},"used_operators":["2DQ55sFlQl","D3AQDKkPcf","LRNGc0VcxI","oacrs7FA3X","lwHaAYXP2r","fu6greOZ01","JxwMv5le6e","4CyGpkTkEk","VCtxkLNOzz","z4E1FaHLuy","opAxDRczMr","SxTAKzQCrw","jWTQ2TZYIH","yIPP7u6H5x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","3ViojmjbAp","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5294","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=5294, right_input=1990, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10464","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=2173, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10464, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1611","layer":4},{"info":"number node, value=5626","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=5626, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2611","layer":4},{"info":"compute unary expreesion, input=2611, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=551, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-554","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-554, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=7889","layer":4},{"info":"compute unary expreesion, input=7889, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute unary expreesion, input=-20, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=967","layer":2},{"info":"number node, value=7140","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=7140, right_input=2130, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22571","layer":2},{"info":"compute binary expreesion, left_input=967, right_input=22571, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=45142","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=45142, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010010101110⪘⫢≮⫘↔11111000110)∀⇚≩≮⫘↔100010000101⨚⇆≮⫘↔100001111101∷≮⫘↔11001001011⨼⩣≮⫘↔1010111111010⨐⩸⫘(≮⫘↔101000110011∐⫣)⨵⪆(⫟(≮⫘↔1111011010001⋹))↡⊰⫅≮⫘↔1101111100100≬⇓≮⫘↔100001010010∙⊟(≮⫘↔10101010100⩭)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔1010010101110⪘⫢≮⫘↔11111000110)∀⇚≩≮⫘↔100010000101⨚⇆≮⫘↔100001111101∷≮⫘↔11001001011⨼⩣≮⫘↔1010111111010⨐⩸⫘(≮⫘↔101000110011∐⫣)⨵⪆(⫟(≮⫘↔1111011010001⋹))↡⊰⫅≮⫘↔1101111100100≬⇓≮⫘↔100001010010∙⊟(≮⫘↔10101010100⩭)","cot":[{"info":"≮⫘↔1010010101110⪘⫢≮⫘↔11111000110=≮⫘↔10100011100000","layer":3},{"info":"≮⫘↔100010000101⨚⇆≮⫘↔100001111101=NaN","layer":3},{"info":"≮⫘↔10100011100000∀⇚≩NaN=NaN","layer":2},{"info":"≮⫘↔11001001011⨼⩣≮⫘↔1010111111010=NaN","layer":3},{"info":"≮⫘↔101000110011∐⫣=≮⫘↔1000100111","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔1000100111=≮⫘↔-1000101010","layer":2},{"info":"NaN∷≮⫘↔-1000101010=NaN","layer":1},{"info":"≮⫘↔1111011010001⋹=≮⫘↔-10100","layer":3},{"info":"⫟≮⫘↔-10100=≮⫘↔1111000111","layer":2},{"info":"≮⫘↔1101111100100≬⇓≮⫘↔100001010010=≮⫘↔-10110","layer":3},{"info":"≮⫘↔10101010100⩭=NaN","layer":3},{"info":"≮⫘↔-10110∙⊟NaN=≮⫘↔101100000101011","layer":2},{"info":"≮⫘↔1111000111↡⊰⫅≮⫘↔101100000101011=≮⫘↔1011000001010110","layer":1},{"info":"NaN⨵⪆≮⫘↔1011000001010110=≮⫘↔10100000","layer":0}]}
{"id":979,"expression_no_base_symbol":"(⫎≠⋺($1940$⪨⊡$2396$))⫣⪄⊒(($6689$⫌⩉⩟$4291$)∴$2350$⫗⊷⫓$2351$)⨫⇇↔(⨮↦↱($5868$⋾⨃∁$2941$∽(⊗$1407$)))","expression":"(⫎≠⋺(≮⫘↔11110010100⪨⊡≮⫘↔100101011100))⫣⪄⊒((≮⫘↔1101000100001⫌⩉⩟≮⫘↔1000011000011)∴≮⫘↔100100101110⫗⊷⫓≮⫘↔100100101111)⨫⇇↔(⨮↦↱(≮⫘↔1011011101100⋾⨃∁≮⫘↔101101111101∽(⊗≮⫘↔10101111111)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1851974,"operation_count":11,"complexity_ratio":168361.27272727274,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1940,"base":2},"right_expr":{"type":"numeric_atoms","value":2396,"base":2}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6689,"base":2},"right_expr":{"type":"numeric_atoms","value":4291,"base":2}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2350,"base":2},"right_expr":{"type":"numeric_atoms","value":2351,"base":2}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5868,"base":2},"right_expr":{"type":"numeric_atoms","value":2941,"base":2}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1407,"base":2}}}}},"used_operators":["LXhwmt4mBO","RabNbG55vr","LYeZOJ0nQG","kuIXHzHcAH","hrf7POJlIJ","XIIwhv8d0m","zashukvMKz","sYcpBQ0cFf","y4ImoPnbV5","212REbPD9h","RhiyfpczSx"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"≮⫘↔-1000001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1940","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=2396, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"number node, value=6689","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=6689, right_input=4291, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2350","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=2351, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-134, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1548","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=1548, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1102","layer":1},{"info":"number node, value=5868","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=5868, right_input=2941, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=86459424","layer":3},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2814","layer":3},{"info":"compute binary expreesion, left_input=86459424, right_input=-2814, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-432288500","layer":2},{"info":"compute unary expreesion, input=-432288500, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1102, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":2,"result_base":2,"text":"(⫎≠⋺(≮⫘↔11110010100⪨⊡≮⫘↔100101011100))⫣⪄⊒((≮⫘↔1101000100001⫌⩉⩟≮⫘↔1000011000011)∴≮⫘↔100100101110⫗⊷⫓≮⫘↔100100101111)⨫⇇↔(⨮↦↱(≮⫘↔1011011101100⋾⨃∁≮⫘↔101101111101∽(⊗≮⫘↔10101111111)))=≮⫘↔-1000001111","reverse_text":"≮⫘↔-1000001111=(⫎≠⋺(≮⫘↔11110010100⪨⊡≮⫘↔100101011100))⫣⪄⊒((≮⫘↔1101000100001⫌⩉⩟≮⫘↔1000011000011)∴≮⫘↔100100101110⫗⊷⫓≮⫘↔100100101111)⨫⇇↔(⨮↦↱(≮⫘↔1011011101100⋾⨃∁≮⫘↔101101111101∽(⊗≮⫘↔10101111111)))","cot":[{"info":"≮⫘↔11110010100⪨⊡≮⫘↔100101011100=≮⫘↔0","layer":3},{"info":"⫎≠⋺≮⫘↔0=≮⫘↔-1011000101","layer":2},{"info":"≮⫘↔1101000100001⫌⩉⩟≮⫘↔1000011000011=≮⫘↔-110010","layer":3},{"info":"≮⫘↔100100101110⫗⊷⫓≮⫘↔100100101111=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔-110010∴≮⫘↔-10000110=≮⫘↔11000001100","layer":2},{"info":"≮⫘↔-1011000101⫣⪄⊒≮⫘↔11000001100=≮⫘↔-10001001110","layer":1},{"info":"≮⫘↔1011011101100⋾⨃∁≮⫘↔101101111101=≮⫘↔101001001110100010000100000","layer":3},{"info":"⊗≮⫘↔10101111111=≮⫘↔-101011111110","layer":3},{"info":"≮⫘↔101001001110100010000100000∽≮⫘↔-101011111110=≮⫘↔-11001110001000011001011110100","layer":2},{"info":"⨮↦↱≮⫘↔-11001110001000011001011110100=NaN","layer":1},{"info":"≮⫘↔-10001001110⨫⇇↔NaN=≮⫘↔-1000001111","layer":0}]}
{"id":980,"expression_no_base_symbol":"((⊁⨺(⨙⪌$6028$))⨚⇆(⇜⊴$2812$)⇻⋧≁($2037$⨸⪁$4265$))↤⩊(⇁⨣⪵(($1033$⇩)⫠))","expression":"((⊁⨺(⨙⪌≮⫘↔1011110001100))⨚⇆(⇜⊴≮⫘↔101011111100)⇻⋧≁(≮⫘↔11111110101⨸⪁≮⫘↔1000010101001))↤⩊(⇁⨣⪵((≮⫘↔10000001001⇩)⫠))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18296,"operation_count":10,"complexity_ratio":1829.6,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6028,"base":2}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2812,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2037,"base":2},"right_expr":{"type":"numeric_atoms","value":4265,"base":2}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1033,"base":2}}}}},"used_operators":["13rbtpv6ld","lwHaAYXP2r","PxiHyQbrIp","vEGLkm4Z2k","jCPkEVoL5K","XwDhCwWbUn","g55IO6H4Gj","inkyxCbjAn","6SnOT2rOjz","vRio1gEz1j"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","B5M0gjZbta","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6028","layer":4},{"info":"compute unary expreesion, input=6028, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"number node, value=2812","layer":4},{"info":"compute unary expreesion, input=2812, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-649918","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=4265","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=4265, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12604","layer":3},{"info":"compute binary expreesion, left_input=-649918, right_input=12604, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-5852639","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-5852639, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1126","layer":3},{"info":"compute unary expreesion, input=1126, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊁⨺(⨙⪌≮⫘↔1011110001100))⨚⇆(⇜⊴≮⫘↔101011111100)⇻⋧≁(≮⫘↔11111110101⨸⪁≮⫘↔1000010101001))↤⩊(⇁⨣⪵((≮⫘↔10000001001⇩)⫠))=NaN","reverse_text":"NaN=((⊁⨺(⨙⪌≮⫘↔1011110001100))⨚⇆(⇜⊴≮⫘↔101011111100)⇻⋧≁(≮⫘↔11111110101⨸⪁≮⫘↔1000010101001))↤⩊(⇁⨣⪵((≮⫘↔10000001001⇩)⫠))","cot":[{"info":"⨙⪌≮⫘↔1011110001100=≮⫘↔1101100100","layer":3},{"info":"⊁⨺≮⫘↔1101100100=≮⫘↔10100000","layer":2},{"info":"⇜⊴≮⫘↔101011111100=≮⫘↔-10011110101010111110","layer":3},{"info":"≮⫘↔11111110101⨸⪁≮⫘↔1000010101001=≮⫘↔11000100111100","layer":3},{"info":"≮⫘↔-10011110101010111110⇻⋧≁≮⫘↔11000100111100=≮⫘↔-10110010100110111011111","layer":2},{"info":"≮⫘↔10100000⨚⇆≮⫘↔-10110010100110111011111=NaN","layer":1},{"info":"≮⫘↔10000001001⇩=≮⫘↔10001100110","layer":3},{"info":"≮⫘↔10001100110⫠=≮⫘↔0","layer":2},{"info":"⇁⨣⪵≮⫘↔0=≮⫘↔0","layer":1},{"info":"NaN↤⩊≮⫘↔0=NaN","layer":0}]}
{"id":981,"expression_no_base_symbol":"≘(($2118$-$7764$)⨼⩣($1523$⫏⊷)↙(⋂$4048$⋥⋵⩄$8370$))","expression":"≘((≮⫘↔100001000110-≮⫘↔1111001010100)⨼⩣(≮⫘↔10111110011⫏⊷)↙(⋂≮⫘↔111111010000⋥⋵⩄≮⫘↔10000010110010))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7685,"operation_count":7,"complexity_ratio":1097.857142857143,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2118,"base":2},"right_expr":{"type":"numeric_atoms","value":7764,"base":2}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1523,"base":2}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4048,"base":2},"right_expr":{"type":"numeric_atoms","value":8370,"base":2}}}}},"used_operators":["tcjXMdvYtA","yyfyN0ffXY","JxwMv5le6e","rysDP5nf3Z","dcShxvzhyw","BUOGQAYlQx","7t3wd0Fuz7"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2118","layer":4},{"info":"number node, value=7764","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=7764, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5646","layer":3},{"info":"number node, value=1523","layer":4},{"info":"compute unary expreesion, input=1523, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=-5646, right_input=-820, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=4048","layer":4},{"info":"number node, value=8370","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=8370, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-986","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-986, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≘((≮⫘↔100001000110-≮⫘↔1111001010100)⨼⩣(≮⫘↔10111110011⫏⊷)↙(⋂≮⫘↔111111010000⋥⋵⩄≮⫘↔10000010110010))=NaN","reverse_text":"NaN=≘((≮⫘↔100001000110-≮⫘↔1111001010100)⨼⩣(≮⫘↔10111110011⫏⊷)↙(⋂≮⫘↔111111010000⋥⋵⩄≮⫘↔10000010110010))","cot":[{"info":"≮⫘↔100001000110-≮⫘↔1111001010100=≮⫘↔-1011000001110","layer":3},{"info":"≮⫘↔10111110011⫏⊷=≮⫘↔-1100110100","layer":3},{"info":"≮⫘↔-1011000001110⨼⩣≮⫘↔-1100110100=NaN","layer":2},{"info":"≮⫘↔111111010000⋥⋵⩄≮⫘↔10000010110010=≮⫘↔1110001","layer":3},{"info":"⋂≮⫘↔1110001=≮⫘↔-1111011010","layer":2},{"info":"NaN↙≮⫘↔-1111011010=NaN","layer":1},{"info":"≘NaN=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"(($7646$⋅⇍$4000$)⫗⊷⫓($4067$∊∟⩊$2411$)↱$3796$⩍⋽⫝̸$4871$⩍⋽⫝̸(⋣$2732$))≝⊰⇂","expression":"((≮⫘↔1110111011110⋅⇍≮⫘↔111110100000)⫗⊷⫓(≮⫘↔111111100011∊∟⩊≮⫘↔100101101011)↱≮⫘↔111011010100⩍⋽⫝̸≮⫘↔1001100000111⩍⋽⫝̸(⋣≮⫘↔101010101100))≝⊰⇂","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1872996,"operation_count":8,"complexity_ratio":234124.5,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":7646,"base":2},"right_expr":{"type":"numeric_atoms","value":4000,"base":2}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4067,"base":2},"right_expr":{"type":"numeric_atoms","value":2411,"base":2}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3796,"base":2},"right_expr":{"type":"numeric_atoms","value":4871,"base":2}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2732,"base":2}}}}},"used_operators":["htSmYCowi5","SR5kFfdi6N","zashukvMKz","AdZkA7nFnk","ddLRYrp01A","BiWNJpBvwn","zQWRhDnn8F"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Ph9nP6C5qx","xUOZtlo3hN","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"≮⫘↔-10010011101010001010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7646","layer":4},{"info":"number node, value=4000","layer":4},{"info":"compute binary expreesion, left_input=7646, right_input=4000, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=4067","layer":4},{"info":"number node, value=2411","layer":4},{"info":"compute binary expreesion, left_input=4067, right_input=2411, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2411","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=2411, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=3796","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=4871, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3925","layer":3},{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-803113","layer":3},{"info":"compute binary expreesion, left_input=3925, right_input=-803113, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=806565","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=806565, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2419173","layer":1},{"info":"compute unary expreesion, input=-2419173, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-4838480","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110111011110⋅⇍≮⫘↔111110100000)⫗⊷⫓(≮⫘↔111111100011∊∟⩊≮⫘↔100101101011)↱≮⫘↔111011010100⩍⋽⫝̸≮⫘↔1001100000111⩍⋽⫝̸(⋣≮⫘↔101010101100))≝⊰⇂=≮⫘↔-10010011101010001010000","reverse_text":"≮⫘↔-10010011101010001010000=((≮⫘↔1110111011110⋅⇍≮⫘↔111110100000)⫗⊷⫓(≮⫘↔111111100011∊∟⩊≮⫘↔100101101011)↱≮⫘↔111011010100⩍⋽⫝̸≮⫘↔1001100000111⩍⋽⫝̸(⋣≮⫘↔101010101100))≝⊰⇂","cot":[{"info":"≮⫘↔1110111011110⋅⇍≮⫘↔111110100000=≮⫘↔-10110","layer":3},{"info":"≮⫘↔111111100011∊∟⩊≮⫘↔100101101011=≮⫘↔100101101011","layer":3},{"info":"≮⫘↔-10110⫗⊷⫓≮⫘↔100101101011=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔111011010100⩍⋽⫝̸≮⫘↔1001100000111=≮⫘↔111101010101","layer":3},{"info":"⋣≮⫘↔101010101100=≮⫘↔-11000100000100101001","layer":3},{"info":"≮⫘↔111101010101⩍⋽⫝̸≮⫘↔-11000100000100101001=≮⫘↔11000100111010100101","layer":2},{"info":"≮⫘↔-10000110↱≮⫘↔11000100111010100101=≮⫘↔-1001001110100111100101","layer":1},{"info":"≮⫘↔-1001001110100111100101≝⊰⇂=≮⫘↔-10010011101010001010000","layer":0}]}
{"id":983,"expression_no_base_symbol":"((⊵⊁$3957$)≒∊$1035$↓$5142$)≎⪠(($1715$⩹$2228$)⩧⪆($1862$↬⩅∪))⫸⊐((⋼∭⪍$4680$)*$6124$⊝⪿⪼$2525$)⪉⨛($1421$⪭$2267$⊭↱$1196$⇂≾⫗$3207$)","expression":"((⊵⊁≮⫘↔111101110101)≒∊≮⫘↔10000001011↓≮⫘↔1010000010110)≎⪠((≮⫘↔11010110011⩹≮⫘↔100010110100)⩧⪆(≮⫘↔11101000110↬⩅∪))⫸⊐((⋼∭⪍≮⫘↔1001001001000)*≮⫘↔1011111101100⊝⪿⪼≮⫘↔100111011101)⪉⨛(≮⫘↔10110001101⪭≮⫘↔100011011011⊭↱≮⫘↔10010101100⇂≾⫗≮⫘↔110010000111)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":108582,"operation_count":15,"complexity_ratio":7238.8,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3957,"base":2}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1035,"base":2},"right_expr":{"type":"numeric_atoms","value":5142,"base":2}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1715,"base":2},"right_expr":{"type":"numeric_atoms","value":2228,"base":2}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1862,"base":2}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":4680,"base":2}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6124,"base":2},"right_expr":{"type":"numeric_atoms","value":2525,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1421,"base":2},"right_expr":{"type":"numeric_atoms","value":2267,"base":2}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1196,"base":2},"right_expr":{"type":"numeric_atoms","value":3207,"base":2}}}}},"used_operators":["mqXw5SEYmG","aNhz54LH3e","5KTvxBwnZo","AvED76WdY7","Af076pWI7l","Ikt5ks8PT7","2Wsdkap16l","VJ330n2nnx","EWw2JM7wp4","9HNa5Wba9A","DbCuESL50I","3Oe9XWJUTD","COABgblf1C","j9kHMeSvPp","aBQ6xLxuTc"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","uBihLCJcMX","k8jYdgA6NY","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3957","layer":4},{"info":"compute unary expreesion, input=3957, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=22672","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=5142","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=5142, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=22672, right_input=-134, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-22188","layer":2},{"info":"number node, value=1715","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=2228, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2226","layer":3},{"info":"number node, value=1862","layer":4},{"info":"compute unary expreesion, input=1862, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-5586","layer":3},{"info":"compute binary expreesion, left_input=2226, right_input=-5586, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=5586","layer":2},{"info":"compute binary expreesion, left_input=-22188, right_input=5586, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=4680","layer":4},{"info":"compute unary expreesion, input=4680, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-16980","layer":3},{"info":"number node, value=6124","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=6124, right_input=2525, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=84406","layer":3},{"info":"compute binary expreesion, left_input=-16980, right_input=84406, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1433213880","layer":2},{"info":"number node, value=1421","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=2267, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=3207","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=3207, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-676, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1357","layer":2},{"info":"compute binary expreesion, left_input=-1433213880, right_input=-1357, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=-inf, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"((⊵⊁≮⫘↔111101110101)≒∊≮⫘↔10000001011↓≮⫘↔1010000010110)≎⪠((≮⫘↔11010110011⩹≮⫘↔100010110100)⩧⪆(≮⫘↔11101000110↬⩅∪))⫸⊐((⋼∭⪍≮⫘↔1001001001000)*≮⫘↔1011111101100⊝⪿⪼≮⫘↔100111011101)⪉⨛(≮⫘↔10110001101⪭≮⫘↔100011011011⊭↱≮⫘↔10010101100⇂≾⫗≮⫘↔110010000111)=-Inf","reverse_text":"-Inf=((⊵⊁≮⫘↔111101110101)≒∊≮⫘↔10000001011↓≮⫘↔1010000010110)≎⪠((≮⫘↔11010110011⩹≮⫘↔100010110100)⩧⪆(≮⫘↔11101000110↬⩅∪))⫸⊐((⋼∭⪍≮⫘↔1001001001000)*≮⫘↔1011111101100⊝⪿⪼≮⫘↔100111011101)⪉⨛(≮⫘↔10110001101⪭≮⫘↔100011011011⊭↱≮⫘↔10010101100⇂≾⫗≮⫘↔110010000111)","cot":[{"info":"⊵⊁≮⫘↔111101110101=≮⫘↔101100010010000","layer":3},{"info":"≮⫘↔10000001011↓≮⫘↔1010000010110=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔101100010010000≒∊≮⫘↔-10000110=≮⫘↔-101011010101100","layer":2},{"info":"≮⫘↔11010110011⩹≮⫘↔100010110100=≮⫘↔100010110010","layer":3},{"info":"≮⫘↔11101000110↬⩅∪=≮⫘↔-1010111010010","layer":3},{"info":"≮⫘↔100010110010⩧⪆≮⫘↔-1010111010010=≮⫘↔1010111010010","layer":2},{"info":"≮⫘↔-101011010101100≎⪠≮⫘↔1010111010010=≮⫘↔100110001100110","layer":1},{"info":"⋼∭⪍≮⫘↔1001001001000=≮⫘↔-100001001010100","layer":3},{"info":"≮⫘↔1011111101100⊝⪿⪼≮⫘↔100111011101=≮⫘↔10100100110110110","layer":3},{"info":"≮⫘↔-100001001010100*≮⫘↔10100100110110110=≮⫘↔-1010101011011010001101110111000","layer":2},{"info":"≮⫘↔10110001101⪭≮⫘↔100011011011=≮⫘↔101","layer":3},{"info":"≮⫘↔10010101100⇂≾⫗≮⫘↔110010000111=≮⫘↔-1010100100","layer":3},{"info":"≮⫘↔101⊭↱≮⫘↔-1010100100=≮⫘↔-10101001101","layer":2},{"info":"≮⫘↔-1010101011011010001101110111000⪉⨛≮⫘↔-10101001101=-Inf","layer":1},{"info":"≮⫘↔100110001100110⫸⊐-Inf=-Inf","layer":0}]}
{"id":984,"expression_no_base_symbol":"($3425$↳≱$4702$∊∟⩊($1789$→⨶⪴$4290$))↳≱($7864$≝⊿$3190$∷)⊉≛↸($3090$∠↢$4856$)∘(⇐$5258$)⊲⩕⊾(($1018$↦)⫃⨇$3013$≦↸$1422$)","expression":"(≮⫘↔110101100001↳≱≮⫘↔1001001011110∊∟⩊(≮⫘↔11011111101→⨶⪴≮⫘↔1000011000010))↳≱(≮⫘↔1111010111000≝⊿≮⫘↔110001110110∷)⊉≛↸(≮⫘↔110000010010∠↢≮⫘↔1001011111000)∘(⇐≮⫘↔1010010001010)⊲⩕⊾((≮⫘↔1111111010↦)⫃⨇≮⫘↔101111000101≦↸≮⫘↔10110001110)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":225191,"operation_count":14,"complexity_ratio":16085.07142857143,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3425,"base":2},"right_expr":{"type":"numeric_atoms","value":4702,"base":2}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1789,"base":2},"right_expr":{"type":"numeric_atoms","value":4290,"base":2}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":7864,"base":2},"right_expr":{"type":"numeric_atoms","value":3190,"base":2}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3090,"base":2},"right_expr":{"type":"numeric_atoms","value":4856,"base":2}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":5258,"base":2}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1018,"base":2}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3013,"base":2},"right_expr":{"type":"numeric_atoms","value":1422,"base":2}}}}},"used_operators":["DZ8iAZOCBD","JwTKLfZU96","ddLRYrp01A","bF6eod5Gvf","nFAOW8KTqp","OKKcZfAt5B","DmTXOeWf9t","Z5m6OM72h2","KbjG8mgYpV","nmZMaaE0Q9","09Ly4LVMIf","fFznvYxMfW","RygbFNSyEJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","8w2t5hMYqp","9FxExcQeMw","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","12rbrZMWeM","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3425","layer":4},{"info":"number node, value=4702","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=4702, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1789","layer":4},{"info":"number node, value=4290","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=4290, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-12870","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12870, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-12870","layer":2},{"info":"number node, value=7864","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=7864, right_input=3190, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-14777","layer":3},{"info":"compute unary expreesion, input=-14777, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-44331","layer":2},{"info":"compute binary expreesion, left_input=-12870, right_input=-44331, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=3090","layer":4},{"info":"number node, value=4856","layer":4},{"info":"compute binary expreesion, left_input=3090, right_input=4856, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-79262","layer":3},{"info":"number node, value=5258","layer":4},{"info":"compute unary expreesion, input=5258, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=18774","layer":3},{"info":"compute binary expreesion, left_input=-79262, right_input=18774, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-158524","layer":2},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"number node, value=3013","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=3013, right_input=1422, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8189","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8189, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-158524, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110101100001↳≱≮⫘↔1001001011110∊∟⩊(≮⫘↔11011111101→⨶⪴≮⫘↔1000011000010))↳≱(≮⫘↔1111010111000≝⊿≮⫘↔110001110110∷)⊉≛↸(≮⫘↔110000010010∠↢≮⫘↔1001011111000)∘(⇐≮⫘↔1010010001010)⊲⩕⊾((≮⫘↔1111111010↦)⫃⨇≮⫘↔101111000101≦↸≮⫘↔10110001110)=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔110101100001↳≱≮⫘↔1001001011110∊∟⩊(≮⫘↔11011111101→⨶⪴≮⫘↔1000011000010))↳≱(≮⫘↔1111010111000≝⊿≮⫘↔110001110110∷)⊉≛↸(≮⫘↔110000010010∠↢≮⫘↔1001011111000)∘(⇐≮⫘↔1010010001010)⊲⩕⊾((≮⫘↔1111111010↦)⫃⨇≮⫘↔101111000101≦↸≮⫘↔10110001110)","cot":[{"info":"≮⫘↔110101100001↳≱≮⫘↔1001001011110=≮⫘↔0","layer":3},{"info":"≮⫘↔11011111101→⨶⪴≮⫘↔1000011000010=≮⫘↔-11001001000110","layer":3},{"info":"≮⫘↔0∊∟⩊≮⫘↔-11001001000110=≮⫘↔-11001001000110","layer":2},{"info":"≮⫘↔1111010111000≝⊿≮⫘↔110001110110=≮⫘↔-11100110111001","layer":3},{"info":"≮⫘↔-11100110111001∷=≮⫘↔-1010110100101011","layer":2},{"info":"≮⫘↔-11001001000110↳≱≮⫘↔-1010110100101011=≮⫘↔0","layer":1},{"info":"≮⫘↔110000010010∠↢≮⫘↔1001011111000=≮⫘↔-10011010110011110","layer":3},{"info":"⇐≮⫘↔1010010001010=≮⫘↔100100101010110","layer":3},{"info":"≮⫘↔-10011010110011110∘≮⫘↔100100101010110=≮⫘↔-100110101100111100","layer":2},{"info":"≮⫘↔1111111010↦=NaN","layer":3},{"info":"≮⫘↔101111000101≦↸≮⫘↔10110001110=≮⫘↔-1111111111101","layer":3},{"info":"NaN⫃⨇≮⫘↔-1111111111101=NaN","layer":2},{"info":"≮⫘↔-100110101100111100⊲⩕⊾NaN=NaN","layer":1},{"info":"≮⫘↔0⊉≛↸NaN=≮⫘↔0","layer":0}]}
{"id":985,"expression_no_base_symbol":"((⨈⫕(⊗$2197$))⨵⪆(≤/$1531$)⫗⊷⫓($7421$⪡$2996$))≴⪞⇿($4310$⫸⊐$4463$⫦⪉$3362$→⨶⪴$1188$)⪟⇏(⨡↴($1413$∁))","expression":"((⨈⫕(⊗≮⫘↔100010010101))⨵⪆(≤/≮⫘↔10111111011)⫗⊷⫓(≮⫘↔1110011111101⪡≮⫘↔101110110100))≴⪞⇿(≮⫘↔1000011010110⫸⊐≮⫘↔1000101101111⫦⪉≮⫘↔110100100010→⨶⪴≮⫘↔10010100100)⪟⇏(⨡↴(≮⫘↔10110000101∁))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":88205,"operation_count":13,"complexity_ratio":6785.0,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2197,"base":2}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1531,"base":2}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":7421,"base":2},"right_expr":{"type":"numeric_atoms","value":2996,"base":2}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4310,"base":2},"right_expr":{"type":"numeric_atoms","value":4463,"base":2}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3362,"base":2},"right_expr":{"type":"numeric_atoms","value":1188,"base":2}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1413,"base":2}}}}},"used_operators":["lvlrscuwVU","2DQ55sFlQl","megm06wKyl","RhiyfpczSx","zashukvMKz","eLAdDNolq6","oraRL2iQuh","GODebY97qR","wscyQdcy20","mqXw5SEYmG","bF6eod5Gvf","liw5iZPkLH","jdwGQqwJi5"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","P8v4zCKN1o","2DDjHMKMc0"],"result":"≮⫘↔11010100010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2197","layer":4},{"info":"compute unary expreesion, input=2197, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-4394","layer":3},{"info":"compute unary expreesion, input=-4394, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1531","layer":4},{"info":"compute unary expreesion, input=1531, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1047","layer":3},{"info":"number node, value=7421","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=7421, right_input=2996, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-1047, right_input=107, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-134, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4310","layer":4},{"info":"number node, value=4463","layer":4},{"info":"compute binary expreesion, left_input=4310, right_input=4463, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17727","layer":3},{"info":"number node, value=3362","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=1188, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3564","layer":3},{"info":"compute binary expreesion, left_input=17727, right_input=-3564, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-30554","layer":2},{"info":"number node, value=1413","layer":4},{"info":"compute unary expreesion, input=1413, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1413","layer":3},{"info":"compute unary expreesion, input=1413, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2462","layer":2},{"info":"compute binary expreesion, left_input=-30554, right_input=2462, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=13589","layer":0}],"base":2,"result_base":2,"text":"((⨈⫕(⊗≮⫘↔100010010101))⨵⪆(≤/≮⫘↔10111111011)⫗⊷⫓(≮⫘↔1110011111101⪡≮⫘↔101110110100))≴⪞⇿(≮⫘↔1000011010110⫸⊐≮⫘↔1000101101111⫦⪉≮⫘↔110100100010→⨶⪴≮⫘↔10010100100)⪟⇏(⨡↴(≮⫘↔10110000101∁))=≮⫘↔11010100010101","reverse_text":"≮⫘↔11010100010101=((⨈⫕(⊗≮⫘↔100010010101))⨵⪆(≤/≮⫘↔10111111011)⫗⊷⫓(≮⫘↔1110011111101⪡≮⫘↔101110110100))≴⪞⇿(≮⫘↔1000011010110⫸⊐≮⫘↔1000101101111⫦⪉≮⫘↔110100100010→⨶⪴≮⫘↔10010100100)⪟⇏(⨡↴(≮⫘↔10110000101∁))","cot":[{"info":"⊗≮⫘↔100010010101=≮⫘↔-1000100101010","layer":3},{"info":"⨈⫕≮⫘↔-1000100101010=≮⫘↔-10101","layer":2},{"info":"≤/≮⫘↔10111111011=≮⫘↔-10000010111","layer":3},{"info":"≮⫘↔1110011111101⪡≮⫘↔101110110100=≮⫘↔1101011","layer":3},{"info":"≮⫘↔-10000010111⫗⊷⫓≮⫘↔1101011=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔-10101⨵⪆≮⫘↔-10000110=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1000011010110⫸⊐≮⫘↔1000101101111=≮⫘↔100010100111111","layer":3},{"info":"≮⫘↔110100100010→⨶⪴≮⫘↔10010100100=≮⫘↔-110111101100","layer":3},{"info":"≮⫘↔100010100111111⫦⪉≮⫘↔-110111101100=≮⫘↔-111011101011010","layer":2},{"info":"≮⫘↔10110000101∁=≮⫘↔10110000101","layer":3},{"info":"⨡↴≮⫘↔10110000101=≮⫘↔100110011110","layer":2},{"info":"≮⫘↔-111011101011010⪟⇏≮⫘↔100110011110=≮⫘↔0","layer":1},{"info":"≮⫘↔10100000≴⪞⇿≮⫘↔0=≮⫘↔11010100010101","layer":0}]}
{"id":986,"expression_no_base_symbol":"(($1443$⇍⊗$3327$⩨($1901$⇔⨋))⊋(⩏⊷≩$1544$∑⇟⊟$5721$))⊱⇼⊻(($1438$⪒⊣⊆$1575$≃(⊈$2710$))⋛$1454$⫗⊷⫓$2768$⫞⩸⩒($3370$⫁$6602$))","expression":"((≮⫘↔10110100011⇍⊗≮⫘↔110011111111⩨(≮⫘↔11101101101⇔⨋))⊋(⩏⊷≩≮⫘↔11000001000∑⇟⊟≮⫘↔1011001011001))⊱⇼⊻((≮⫘↔10110011110⪒⊣⊆≮⫘↔11000100111≃(⊈≮⫘↔101010010110))⋛≮⫘↔10110101110⫗⊷⫓≮⫘↔101011010000⫞⩸⩒(≮⫘↔110100101010⫁≮⫘↔1100111001010))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2150394,"operation_count":14,"complexity_ratio":153599.57142857142,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1443,"base":2},"right_expr":{"type":"numeric_atoms","value":3327,"base":2}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1901,"base":2}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1544,"base":2},"right_expr":{"type":"numeric_atoms","value":5721,"base":2}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1438,"base":2},"right_expr":{"type":"numeric_atoms","value":1575,"base":2}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2710,"base":2}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1454,"base":2},"right_expr":{"type":"numeric_atoms","value":2768,"base":2}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3370,"base":2},"right_expr":{"type":"numeric_atoms","value":6602,"base":2}}}}},"used_operators":["FyVja0WsTP","W4tP9CfskL","2DlMacCsIx","5uvYHDjeKN","uBihLCJcMX","uOZ1tnYMDE","U7g4x0WXJJ","YbUVn0Rbpy","YbVcJGFEVW","eRqsBgTDFp","RHru8klgy8","XGcMNugi78","zashukvMKz","0ajvFaJAv0"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","12rbrZMWeM","xUOZtlo3hN","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"number node, value=3327","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=3327, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1901","layer":4},{"info":"compute unary expreesion, input=1901, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=10336","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=10336, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=129","layer":2},{"info":"number node, value=1544","layer":4},{"info":"number node, value=5721","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=5721, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=129, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"number node, value=1438","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1575, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2876","layer":3},{"info":"number node, value=2710","layer":4},{"info":"compute unary expreesion, input=2710, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2884","layer":3},{"info":"compute binary expreesion, left_input=2876, right_input=-2884, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=11496","layer":2},{"info":"number node, value=1454","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=2768, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3370","layer":4},{"info":"number node, value=6602","layer":4},{"info":"compute binary expreesion, left_input=3370, right_input=6602, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=160, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=11496, right_input=-134, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=30","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=30, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110100011⇍⊗≮⫘↔110011111111⩨(≮⫘↔11101101101⇔⨋))⊋(⩏⊷≩≮⫘↔11000001000∑⇟⊟≮⫘↔1011001011001))⊱⇼⊻((≮⫘↔10110011110⪒⊣⊆≮⫘↔11000100111≃(⊈≮⫘↔101010010110))⋛≮⫘↔10110101110⫗⊷⫓≮⫘↔101011010000⫞⩸⩒(≮⫘↔110100101010⫁≮⫘↔1100111001010))=NaN","reverse_text":"NaN=((≮⫘↔10110100011⇍⊗≮⫘↔110011111111⩨(≮⫘↔11101101101⇔⨋))⊋(⩏⊷≩≮⫘↔11000001000∑⇟⊟≮⫘↔1011001011001))⊱⇼⊻((≮⫘↔10110011110⪒⊣⊆≮⫘↔11000100111≃(⊈≮⫘↔101010010110))⋛≮⫘↔10110101110⫗⊷⫓≮⫘↔101011010000⫞⩸⩒(≮⫘↔110100101010⫁≮⫘↔1100111001010))","cot":[{"info":"≮⫘↔10110100011⇍⊗≮⫘↔110011111111=≮⫘↔-11110100","layer":3},{"info":"≮⫘↔11101101101⇔⨋=≮⫘↔10100001100000","layer":3},{"info":"≮⫘↔-11110100⩨≮⫘↔10100001100000=≮⫘↔10000001","layer":2},{"info":"≮⫘↔11000001000∑⇟⊟≮⫘↔1011001011001=NaN","layer":3},{"info":"⩏⊷≩NaN=NaN","layer":2},{"info":"≮⫘↔10000001⊋NaN=NaN","layer":1},{"info":"≮⫘↔10110011110⪒⊣⊆≮⫘↔11000100111=≮⫘↔101100111100","layer":3},{"info":"⊈≮⫘↔101010010110=≮⫘↔-101101000100","layer":3},{"info":"≮⫘↔101100111100≃≮⫘↔-101101000100=≮⫘↔10110011101000","layer":2},{"info":"≮⫘↔10110101110⫗⊷⫓≮⫘↔101011010000=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔110100101010⫁≮⫘↔1100111001010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-10000110⫞⩸⩒≮⫘↔10100000=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔10110011101000⋛≮⫘↔-10000110=≮⫘↔11110","layer":1},{"info":"NaN⊱⇼⊻≮⫘↔11110=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"⊁⨺($2412$⫗⊷⫓$3018$⫢⨠(⨩∲⋌$3953$))⫞⩸⩒(($7011$⫸⇳$1498$)⫠)","expression":"⊁⨺(≮⫘↔100101101100⫗⊷⫓≮⫘↔101111001010⫢⨠(⨩∲⋌≮⫘↔111101110001))⫞⩸⩒((≮⫘↔1101101100011⫸⇳≮⫘↔10111011010)⫠)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2344410,"operation_count":7,"complexity_ratio":334915.71428571426,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2412,"base":2},"right_expr":{"type":"numeric_atoms","value":3018,"base":2}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3953,"base":2}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":7011,"base":2},"right_expr":{"type":"numeric_atoms","value":1498,"base":2}}}}},"used_operators":["PxiHyQbrIp","XGcMNugi78","xlXykHWxX1","zashukvMKz","aSik1wnThz","6SnOT2rOjz","gx7XJ7hdpj"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2412","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=2412, right_input=3018, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3953","layer":4},{"info":"compute unary expreesion, input=3953, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4476","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-4476, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=35610","layer":2},{"info":"number node, value=7011","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=7011, right_input=1498, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=35610, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=35610","layer":1},{"info":"compute unary expreesion, input=35610, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"⊁⨺(≮⫘↔100101101100⫗⊷⫓≮⫘↔101111001010⫢⨠(⨩∲⋌≮⫘↔111101110001))⫞⩸⩒((≮⫘↔1101101100011⫸⇳≮⫘↔10111011010)⫠)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=⊁⨺(≮⫘↔100101101100⫗⊷⫓≮⫘↔101111001010⫢⨠(⨩∲⋌≮⫘↔111101110001))⫞⩸⩒((≮⫘↔1101101100011⫸⇳≮⫘↔10111011010)⫠)","cot":[{"info":"≮⫘↔100101101100⫗⊷⫓≮⫘↔101111001010=≮⫘↔-10000110","layer":3},{"info":"⨩∲⋌≮⫘↔111101110001=≮⫘↔-1000101111100","layer":3},{"info":"≮⫘↔-10000110⫢⨠≮⫘↔-1000101111100=≮⫘↔1000101100011010","layer":2},{"info":"≮⫘↔1101101100011⫸⇳≮⫘↔10111011010=≮⫘↔0","layer":3},{"info":"≮⫘↔0⫠=≮⫘↔0","layer":2},{"info":"≮⫘↔1000101100011010⫞⩸⩒≮⫘↔0=≮⫘↔1000101100011010","layer":1},{"info":"⊁⨺≮⫘↔1000101100011010=≮⫘↔10100000","layer":0}]}
{"id":988,"expression_no_base_symbol":"⇖($6189$⪪$2371$⊉≛↸($2143$⊾⪯⋞$3129$)∕⩚($3583$⩭)⪚(⫓⪴$3501$))","expression":"⇖(≮⫘↔1100000101101⪪≮⫘↔100101000011⊉≛↸(≮⫘↔100001011111⊾⪯⋞≮⫘↔110000111001)∕⩚(≮⫘↔110111111111⩭)⪚(⫓⪴≮⫘↔110110101101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":45350,"operation_count":8,"complexity_ratio":5668.75,"tree":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6189,"base":2},"right_expr":{"type":"numeric_atoms","value":2371,"base":2}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2143,"base":2},"right_expr":{"type":"numeric_atoms","value":3129,"base":2}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":3583,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3501,"base":2}}}}},"used_operators":["tfWHHpNKUN","z9ffQ9n5Zr","DZ8iAZOCBD","xD69zh8xqp","HK0tfVPux8","HrjLwUk87U","yIPP7u6H5x","eLxqMNBOBk"],"dependent_operators":["2DQ55sFlQl","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","9HNa5Wba9A"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6189","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=6189, right_input=2371, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-930628","layer":3},{"info":"number node, value=2143","layer":4},{"info":"number node, value=3129","layer":4},{"info":"compute binary expreesion, left_input=2143, right_input=3129, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5832","layer":3},{"info":"compute binary expreesion, left_input=-930628, right_input=5832, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-5832","layer":2},{"info":"number node, value=3583","layer":4},{"info":"compute unary expreesion, input=3583, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=3501","layer":4},{"info":"compute unary expreesion, input=3501, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12257001","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12257001, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5832, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute unary expreesion, input=-487, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":2,"result_base":2,"text":"⇖(≮⫘↔1100000101101⪪≮⫘↔100101000011⊉≛↸(≮⫘↔100001011111⊾⪯⋞≮⫘↔110000111001)∕⩚(≮⫘↔110111111111⩭)⪚(⫓⪴≮⫘↔110110101101))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=⇖(≮⫘↔1100000101101⪪≮⫘↔100101000011⊉≛↸(≮⫘↔100001011111⊾⪯⋞≮⫘↔110000111001)∕⩚(≮⫘↔110111111111⩭)⪚(⫓⪴≮⫘↔110110101101))","cot":[{"info":"≮⫘↔1100000101101⪪≮⫘↔100101000011=≮⫘↔-11100011001101000100","layer":3},{"info":"≮⫘↔100001011111⊾⪯⋞≮⫘↔110000111001=≮⫘↔1011011001000","layer":3},{"info":"≮⫘↔-11100011001101000100⊉≛↸≮⫘↔1011011001000=≮⫘↔-1011011001000","layer":2},{"info":"≮⫘↔110111111111⩭=NaN","layer":3},{"info":"⫓⪴≮⫘↔110110101101=≮⫘↔101110110000011011101001","layer":3},{"info":"NaN⪚≮⫘↔101110110000011011101001=NaN","layer":2},{"info":"≮⫘↔-1011011001000∕⩚NaN=≮⫘↔-111100111","layer":1},{"info":"⇖≮⫘↔-111100111=≮⫘↔10100000","layer":0}]}
{"id":989,"expression_no_base_symbol":"(($7471$⇴$1662$⋅⇍$4883$⩍⋽⫝̸$5916$)↠)⋕⪉⪜(($3098$↓$3608$)⨐($3750$↹⊜$2084$)⨚⇆($8496$⨳⩥⨓$1338$⨵⪆(↑$1770$)))","expression":"((≮⫘↔1110100101111⇴≮⫘↔11001111110⋅⇍≮⫘↔1001100010011⩍⋽⫝̸≮⫘↔1011100011100)↠)⋕⪉⪜((≮⫘↔110000011010↓≮⫘↔111000011000)⨐(≮⫘↔111010100110↹⊜≮⫘↔100000100100)⨚⇆(≮⫘↔10000100110000⨳⩥⨓≮⫘↔10100111010⨵⪆(↑≮⫘↔11011101010)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":54430,"operation_count":12,"complexity_ratio":4535.833333333333,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":7471,"base":2},"right_expr":{"type":"numeric_atoms","value":1662,"base":2}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4883,"base":2},"right_expr":{"type":"numeric_atoms","value":5916,"base":2}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3098,"base":2},"right_expr":{"type":"numeric_atoms","value":3608,"base":2}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3750,"base":2},"right_expr":{"type":"numeric_atoms","value":2084,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8496,"base":2},"right_expr":{"type":"numeric_atoms","value":1338,"base":2}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1770,"base":2}}}}},"used_operators":["z6LnFrNh4i","LBdsKIvxzf","AdZkA7nFnk","4JB6nKBMSY","BiWNJpBvwn","lwHaAYXP2r","Noe24qw2ks","Af076pWI7l","9bazX3JMtO","2DQ55sFlQl","nCS4ZIUYfx","tR7O2zTn5j"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","NTOWxs364D","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"≮⫘↔11001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7471","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=7471, right_input=1662, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=47764","layer":3},{"info":"number node, value=4883","layer":4},{"info":"number node, value=5916","layer":4},{"info":"compute binary expreesion, left_input=4883, right_input=5916, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4970","layer":3},{"info":"compute binary expreesion, left_input=47764, right_input=4970, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=3098","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=3608, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3750","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=2084, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-932","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-932, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=268","layer":2},{"info":"number node, value=8496","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=8496, right_input=1338, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7158","layer":3},{"info":"number node, value=1770","layer":4},{"info":"compute unary expreesion, input=1770, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-7158, right_input=192, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=268, right_input=160, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110100101111⇴≮⫘↔11001111110⋅⇍≮⫘↔1001100010011⩍⋽⫝̸≮⫘↔1011100011100)↠)⋕⪉⪜((≮⫘↔110000011010↓≮⫘↔111000011000)⨐(≮⫘↔111010100110↹⊜≮⫘↔100000100100)⨚⇆(≮⫘↔10000100110000⨳⩥⨓≮⫘↔10100111010⨵⪆(↑≮⫘↔11011101010)))=≮⫘↔11001100","reverse_text":"≮⫘↔11001100=((≮⫘↔1110100101111⇴≮⫘↔11001111110⋅⇍≮⫘↔1001100010011⩍⋽⫝̸≮⫘↔1011100011100)↠)⋕⪉⪜((≮⫘↔110000011010↓≮⫘↔111000011000)⨐(≮⫘↔111010100110↹⊜≮⫘↔100000100100)⨚⇆(≮⫘↔10000100110000⨳⩥⨓≮⫘↔10100111010⨵⪆(↑≮⫘↔11011101010)))","cot":[{"info":"≮⫘↔1110100101111⇴≮⫘↔11001111110=≮⫘↔1011101010010100","layer":3},{"info":"≮⫘↔1001100010011⩍⋽⫝̸≮⫘↔1011100011100=≮⫘↔1001101101010","layer":3},{"info":"≮⫘↔1011101010010100⋅⇍≮⫘↔1001101101010=≮⫘↔-10110","layer":2},{"info":"≮⫘↔-10110↠=NaN","layer":1},{"info":"≮⫘↔110000011010↓≮⫘↔111000011000=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔111010100110↹⊜≮⫘↔100000100100=≮⫘↔-1110100100","layer":3},{"info":"≮⫘↔-10000110⨐≮⫘↔-1110100100=≮⫘↔100001100","layer":2},{"info":"≮⫘↔10000100110000⨳⩥⨓≮⫘↔10100111010=≮⫘↔-1101111110110","layer":3},{"info":"↑≮⫘↔11011101010=≮⫘↔11000000","layer":3},{"info":"≮⫘↔-1101111110110⨵⪆≮⫘↔11000000=≮⫘↔10100000","layer":2},{"info":"≮⫘↔100001100⨚⇆≮⫘↔10100000=NaN","layer":1},{"info":"NaN⋕⪉⪜NaN=≮⫘↔11001100","layer":0}]}
{"id":990,"expression_no_base_symbol":"($1461$⨒$4343$∽($3201$⨵⪆$1268$))↞⋁($8484$∇⊂⋱$1383$↛⩡⫤)⋷($1220$∕⩚$5415$)∴(⨭⩧⫛$4927$)∠↢(⇵⪽$1353$)⋳⪒($7967$↺$6198$)","expression":"(≮⫘↔10110110101⨒≮⫘↔1000011110111∽(≮⫘↔110010000001⨵⪆≮⫘↔10011110100))↞⋁(≮⫘↔10000100100100∇⊂⋱≮⫘↔10101100111↛⩡⫤)⋷(≮⫘↔10011000100∕⩚≮⫘↔1010100100111)∴(⨭⩧⫛≮⫘↔1001100111111)∠↢(⇵⪽≮⫘↔10101001001)⋳⪒(≮⫘↔1111100011111↺≮⫘↔1100000110110)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":50815,"operation_count":14,"complexity_ratio":3629.6428571428573,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1461,"base":2},"right_expr":{"type":"numeric_atoms","value":4343,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3201,"base":2},"right_expr":{"type":"numeric_atoms","value":1268,"base":2}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":8484,"base":2},"right_expr":{"type":"numeric_atoms","value":1383,"base":2}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1220,"base":2},"right_expr":{"type":"numeric_atoms","value":5415,"base":2}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":4927,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1353,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7967,"base":2},"right_expr":{"type":"numeric_atoms","value":6198,"base":2}}}}},"used_operators":["23Mk6UjR3U","RqrPlJkxDo","y4ImoPnbV5","y75s1iXyHd","2DQ55sFlQl","FU0Cs4j7VP","nhYeJWJD5X","KbjG8mgYpV","hrf7POJlIJ","z9ffQ9n5Zr","g21JL6JxX7","12rbrZMWeM","ZGCBLdVRRX","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","NTOWxs364D","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","t8gj7n24qd","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"number node, value=4343","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=4343, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-8394","layer":3},{"info":"number node, value=3201","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1268, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-8394, right_input=160, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=41668","layer":2},{"info":"number node, value=8484","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=8484, right_input=1383, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=16422","layer":3},{"info":"compute unary expreesion, input=16422, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-2475811","layer":2},{"info":"compute binary expreesion, left_input=41668, right_input=-2475811, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=41668","layer":1},{"info":"number node, value=1220","layer":4},{"info":"number node, value=5415","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=5415, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1223","layer":3},{"info":"number node, value=4927","layer":4},{"info":"compute unary expreesion, input=4927, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1223, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-798","layer":2},{"info":"number node, value=1353","layer":4},{"info":"compute unary expreesion, input=1353, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=7967","layer":4},{"info":"number node, value=6198","layer":4},{"info":"compute binary expreesion, left_input=7967, right_input=6198, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6198","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6198, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-798, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=41668, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10110110101⨒≮⫘↔1000011110111∽(≮⫘↔110010000001⨵⪆≮⫘↔10011110100))↞⋁(≮⫘↔10000100100100∇⊂⋱≮⫘↔10101100111↛⩡⫤)⋷(≮⫘↔10011000100∕⩚≮⫘↔1010100100111)∴(⨭⩧⫛≮⫘↔1001100111111)∠↢(⇵⪽≮⫘↔10101001001)⋳⪒(≮⫘↔1111100011111↺≮⫘↔1100000110110)=NaN","reverse_text":"NaN=(≮⫘↔10110110101⨒≮⫘↔1000011110111∽(≮⫘↔110010000001⨵⪆≮⫘↔10011110100))↞⋁(≮⫘↔10000100100100∇⊂⋱≮⫘↔10101100111↛⩡⫤)⋷(≮⫘↔10011000100∕⩚≮⫘↔1010100100111)∴(⨭⩧⫛≮⫘↔1001100111111)∠↢(⇵⪽≮⫘↔10101001001)⋳⪒(≮⫘↔1111100011111↺≮⫘↔1100000110110)","cot":[{"info":"≮⫘↔10110110101⨒≮⫘↔1000011110111=≮⫘↔-10000011001010","layer":3},{"info":"≮⫘↔110010000001⨵⪆≮⫘↔10011110100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-10000011001010∽≮⫘↔10100000=≮⫘↔1010001011000100","layer":2},{"info":"≮⫘↔10000100100100∇⊂⋱≮⫘↔10101100111=≮⫘↔100000000100110","layer":3},{"info":"≮⫘↔100000000100110↛⩡⫤=≮⫘↔-1001011100011100100011","layer":2},{"info":"≮⫘↔1010001011000100↞⋁≮⫘↔-1001011100011100100011=≮⫘↔1010001011000100","layer":1},{"info":"≮⫘↔10011000100∕⩚≮⫘↔1010100100111=≮⫘↔-10011000111","layer":3},{"info":"⨭⩧⫛≮⫘↔1001100111111=NaN","layer":3},{"info":"≮⫘↔-10011000111∴NaN=≮⫘↔-1100011110","layer":2},{"info":"⇵⪽≮⫘↔10101001001=NaN","layer":3},{"info":"≮⫘↔1111100011111↺≮⫘↔1100000110110=≮⫘↔1100000110110","layer":3},{"info":"NaN⋳⪒≮⫘↔1100000110110=NaN","layer":2},{"info":"≮⫘↔-1100011110∠↢NaN=NaN","layer":1},{"info":"≮⫘↔1010001011000100⋷NaN=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"(($4255$⫢⨠$1919$∝$3194$⋓$1797$)⫿)⩚⊴⇥(↑$4196$⫗⊷⫓$2705$)∌↝($4667$⩒⫫$2942$)⋕⪉⪜($1784$⨔⇊$2169$)","expression":"((≮⫘↔1000010011111⫢⨠≮⫘↔11101111111∝≮⫘↔110001111010⋓≮⫘↔11100000101)⫿)⩚⊴⇥(↑≮⫘↔1000001100100⫗⊷⫓≮⫘↔101010010001)∌↝(≮⫘↔1001000111011⩒⫫≮⫘↔101101111110)⋕⪉⪜(≮⫘↔11011111000⨔⇊≮⫘↔100001111001)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2101325,"operation_count":11,"complexity_ratio":191029.54545454544,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4255,"base":2},"right_expr":{"type":"numeric_atoms","value":1919,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3194,"base":2},"right_expr":{"type":"numeric_atoms","value":1797,"base":2}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4196,"base":2},"right_expr":{"type":"numeric_atoms","value":2705,"base":2}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4667,"base":2},"right_expr":{"type":"numeric_atoms","value":2942,"base":2}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1784,"base":2},"right_expr":{"type":"numeric_atoms","value":2169,"base":2}}}}},"used_operators":["NTOWxs364D","9tKT6PmtkH","cTDWOvIxvz","xlXykHWxX1","T2fj7uvVaJ","9Isq31Ruls","tR7O2zTn5j","zashukvMKz","z6LnFrNh4i","KFSx94NKJn","JclMnS0uGI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","7j4O788W3g","W4YGzv6Whe","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"≮⫘↔10100101011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4255","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=1919, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3194","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=3194, right_input=1797, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=165","layer":2},{"info":"compute unary expreesion, input=165, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=-2300","layer":1},{"info":"number node, value=4196","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=4196, right_input=2705, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=4667","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=4667, right_input=2942, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4365","layer":3},{"info":"number node, value=1784","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=2169, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2169","layer":3},{"info":"compute binary expreesion, left_input=4365, right_input=2169, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=2802, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-8406","layer":1},{"info":"compute binary expreesion, left_input=-2300, right_input=-8406, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=10585","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000010011111⫢⨠≮⫘↔11101111111∝≮⫘↔110001111010⋓≮⫘↔11100000101)⫿)⩚⊴⇥(↑≮⫘↔1000001100100⫗⊷⫓≮⫘↔101010010001)∌↝(≮⫘↔1001000111011⩒⫫≮⫘↔101101111110)⋕⪉⪜(≮⫘↔11011111000⨔⇊≮⫘↔100001111001)=≮⫘↔10100101011001","reverse_text":"≮⫘↔10100101011001=((≮⫘↔1000010011111⫢⨠≮⫘↔11101111111∝≮⫘↔110001111010⋓≮⫘↔11100000101)⫿)⩚⊴⇥(↑≮⫘↔1000001100100⫗⊷⫓≮⫘↔101010010001)∌↝(≮⫘↔1001000111011⩒⫫≮⫘↔101101111110)⋕⪉⪜(≮⫘↔11011111000⨔⇊≮⫘↔100001111001)","cot":[{"info":"≮⫘↔1000010011111⫢⨠≮⫘↔11101111111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔110001111010⋓≮⫘↔11100000101=≮⫘↔0","layer":3},{"info":"≮⫘↔10100000∝≮⫘↔0=≮⫘↔10100101","layer":2},{"info":"≮⫘↔10100101⫿=≮⫘↔-100011111100","layer":1},{"info":"≮⫘↔1000001100100⫗⊷⫓≮⫘↔101010010001=≮⫘↔-10000110","layer":3},{"info":"↑≮⫘↔-10000110=≮⫘↔11000000","layer":2},{"info":"≮⫘↔1001000111011⩒⫫≮⫘↔101101111110=≮⫘↔1000100001101","layer":3},{"info":"≮⫘↔11011111000⨔⇊≮⫘↔100001111001=≮⫘↔100001111001","layer":3},{"info":"≮⫘↔1000100001101⋕⪉⪜≮⫘↔100001111001=≮⫘↔101011110010","layer":2},{"info":"≮⫘↔11000000∌↝≮⫘↔101011110010=≮⫘↔-10000011010110","layer":1},{"info":"≮⫘↔-100011111100⩚⊴⇥≮⫘↔-10000011010110=≮⫘↔10100101011001","layer":0}]}
{"id":992,"expression_no_base_symbol":"(($2362$⫠)∸)≦↸(($1380$⨓$2095$)⊝⪿⪼($3567$∲⫓$2605$))⋅⇍((≘$4399$)⇴$7026$⫯⪬∳$3766$)⩁⩘($1634$⋝⋈⪟$2870$)⊢$2335$⫁⪎$2161$","expression":"((≮⫘↔100100111010⫠)∸)≦↸((≮⫘↔10101100100⨓≮⫘↔100000101111)⊝⪿⪼(≮⫘↔110111101111∲⫓≮⫘↔101000101101))⋅⇍((≘≮⫘↔1000100101111)⇴≮⫘↔1101101110010⫯⪬∳≮⫘↔111010110110)⩁⩘(≮⫘↔11001100010⋝⋈⪟≮⫘↔101100110110)⊢≮⫘↔100100011111⫁⪎≮⫘↔100001110001","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":35707,"operation_count":14,"complexity_ratio":2550.5,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2362,"base":2}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1380,"base":2},"right_expr":{"type":"numeric_atoms","value":2095,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3567,"base":2},"right_expr":{"type":"numeric_atoms","value":2605,"base":2}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4399,"base":2}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":7026,"base":2},"right_expr":{"type":"numeric_atoms","value":3766,"base":2}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1634,"base":2},"right_expr":{"type":"numeric_atoms","value":2870,"base":2}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2335,"base":2},"right_expr":{"type":"numeric_atoms","value":2161,"base":2}}}}},"used_operators":["AdZkA7nFnk","RygbFNSyEJ","o20kRiQErp","6SnOT2rOjz","3Oe9XWJUTD","3ViojmjbAp","i8ToyICDmI","gub5Cegaqo","4JB6nKBMSY","tcjXMdvYtA","d7ASUq0ydm","5twsqlHp2o","2DDjHMKMc0","xRrnTEsQ6j"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","tmPS8pqC7x","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"≮⫘↔-10000110101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2362","layer":4},{"info":"compute unary expreesion, input=2362, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1380","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=2095, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2098","layer":3},{"info":"number node, value=3567","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=2605, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2098, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-21538","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-21538, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=504","layer":1},{"info":"number node, value=4399","layer":4},{"info":"compute unary expreesion, input=4399, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=9700579","layer":3},{"info":"number node, value=7026","layer":4},{"info":"number node, value=3766","layer":4},{"info":"compute binary expreesion, left_input=7026, right_input=3766, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=31397","layer":3},{"info":"compute binary expreesion, left_input=9700579, right_input=31397, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=58265882","layer":2},{"info":"number node, value=1634","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=2870, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1634","layer":3},{"info":"number node, value=2335","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=2161, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=174","layer":3},{"info":"compute binary expreesion, left_input=1634, right_input=174, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3512","layer":2},{"info":"compute binary expreesion, left_input=58265882, right_input=-3512, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-13100","layer":1},{"info":"compute binary expreesion, left_input=504, right_input=-13100, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1077","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100100111010⫠)∸)≦↸((≮⫘↔10101100100⨓≮⫘↔100000101111)⊝⪿⪼(≮⫘↔110111101111∲⫓≮⫘↔101000101101))⋅⇍((≘≮⫘↔1000100101111)⇴≮⫘↔1101101110010⫯⪬∳≮⫘↔111010110110)⩁⩘(≮⫘↔11001100010⋝⋈⪟≮⫘↔101100110110)⊢≮⫘↔100100011111⫁⪎≮⫘↔100001110001=≮⫘↔-10000110101","reverse_text":"≮⫘↔-10000110101=((≮⫘↔100100111010⫠)∸)≦↸((≮⫘↔10101100100⨓≮⫘↔100000101111)⊝⪿⪼(≮⫘↔110111101111∲⫓≮⫘↔101000101101))⋅⇍((≘≮⫘↔1000100101111)⇴≮⫘↔1101101110010⫯⪬∳≮⫘↔111010110110)⩁⩘(≮⫘↔11001100010⋝⋈⪟≮⫘↔101100110110)⊢≮⫘↔100100011111⫁⪎≮⫘↔100001110001","cot":[{"info":"≮⫘↔100100111010⫠=≮⫘↔0","layer":3},{"info":"≮⫘↔0∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔10101100100⨓≮⫘↔100000101111=≮⫘↔-100000110010","layer":3},{"info":"≮⫘↔110111101111∲⫓≮⫘↔101000101101=≮⫘↔0","layer":3},{"info":"≮⫘↔-100000110010⊝⪿⪼≮⫘↔0=≮⫘↔-101010000100010","layer":2},{"info":"≮⫘↔10110001≦↸≮⫘↔-101010000100010=≮⫘↔111111000","layer":1},{"info":"≘≮⫘↔1000100101111=≮⫘↔100101000000010011100011","layer":3},{"info":"≮⫘↔1101101110010⫯⪬∳≮⫘↔111010110110=≮⫘↔111101010100101","layer":3},{"info":"≮⫘↔100101000000010011100011⇴≮⫘↔111101010100101=≮⫘↔11011110010001000100011010","layer":2},{"info":"≮⫘↔11001100010⋝⋈⪟≮⫘↔101100110110=≮⫘↔11001100010","layer":3},{"info":"≮⫘↔100100011111⫁⪎≮⫘↔100001110001=≮⫘↔10101110","layer":3},{"info":"≮⫘↔11001100010⊢≮⫘↔10101110=≮⫘↔-110110111000","layer":2},{"info":"≮⫘↔11011110010001000100011010⩁⩘≮⫘↔-110110111000=≮⫘↔-11001100101100","layer":1},{"info":"≮⫘↔111111000⋅⇍≮⫘↔-11001100101100=≮⫘↔-10000110101","layer":0}]}
{"id":993,"expression_no_base_symbol":"(⊀($6264$⇻⋧≁$8036$⨸⪁$3747$⨜⨶$1657$))≬⋮($4247$⨸$3078$⨔≚≋($5210$⨐⩸⫘$2473$))∇⊂⋱(∟⋨(⇁⨣⪵$4053$))","expression":"(⊀(≮⫘↔1100001111000⇻⋧≁≮⫘↔1111101100100⨸⪁≮⫘↔111010100011⨜⨶≮⫘↔11001111001))≬⋮(≮⫘↔1000010010111⨸≮⫘↔110000000110⨔≚≋(≮⫘↔1010001011010⨐⩸⫘≮⫘↔100110101001))∇⊂⋱(∟⋨(⇁⨣⪵≮⫘↔111111010101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10767,"operation_count":11,"complexity_ratio":978.8181818181819,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":6264,"base":2},"right_expr":{"type":"numeric_atoms","value":8036,"base":2}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3747,"base":2},"right_expr":{"type":"numeric_atoms","value":1657,"base":2}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4247,"base":2},"right_expr":{"type":"numeric_atoms","value":3078,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5210,"base":2},"right_expr":{"type":"numeric_atoms","value":2473,"base":2}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4053,"base":2}}}}},"used_operators":["kbkesczE7y","oPMjh9089D","g55IO6H4Gj","jCPkEVoL5K","HiPekx5b7W","nhYeJWJD5X","Z57zeUYC9z","KmoU8R5UQR","fu6greOZ01","ctOc4cKSDt","inkyxCbjAn"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","3ViojmjbAp","eLAdDNolq6","tmPS8pqC7x","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6264","layer":4},{"info":"number node, value=8036","layer":4},{"info":"compute binary expreesion, left_input=6264, right_input=8036, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=3747","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=1657, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3058","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-3058, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-7010","layer":2},{"info":"compute unary expreesion, input=-7010, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=105933","layer":1},{"info":"number node, value=4247","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=4247, right_input=3078, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8494","layer":3},{"info":"number node, value=5210","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=5210, right_input=2473, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8494, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=4053","layer":4},{"info":"compute unary expreesion, input=4053, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=105933, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊀(≮⫘↔1100001111000⇻⋧≁≮⫘↔1111101100100⨸⪁≮⫘↔111010100011⨜⨶≮⫘↔11001111001))≬⋮(≮⫘↔1000010010111⨸≮⫘↔110000000110⨔≚≋(≮⫘↔1010001011010⨐⩸⫘≮⫘↔100110101001))∇⊂⋱(∟⋨(⇁⨣⪵≮⫘↔111111010101))=NaN","reverse_text":"NaN=(⊀(≮⫘↔1100001111000⇻⋧≁≮⫘↔1111101100100⨸⪁≮⫘↔111010100011⨜⨶≮⫘↔11001111001))≬⋮(≮⫘↔1000010010111⨸≮⫘↔110000000110⨔≚≋(≮⫘↔1010001011010⨐⩸⫘≮⫘↔100110101001))∇⊂⋱(∟⋨(⇁⨣⪵≮⫘↔111111010101))","cot":[{"info":"≮⫘↔1100001111000⇻⋧≁≮⫘↔1111101100100=≮⫘↔-110111111","layer":3},{"info":"≮⫘↔111010100011⨜⨶≮⫘↔11001111001=≮⫘↔-101111110010","layer":3},{"info":"≮⫘↔-110111111⨸⪁≮⫘↔-101111110010=≮⫘↔-1101101100010","layer":2},{"info":"⊀≮⫘↔-1101101100010=≮⫘↔11001110111001101","layer":1},{"info":"≮⫘↔1000010010111⨸≮⫘↔110000000110=≮⫘↔10000100101110","layer":3},{"info":"≮⫘↔1010001011010⨐⩸⫘≮⫘↔100110101001=NaN","layer":3},{"info":"≮⫘↔10000100101110⨔≚≋NaN=NaN","layer":2},{"info":"⇁⨣⪵≮⫘↔111111010101=NaN","layer":3},{"info":"∟⋨NaN=NaN","layer":2},{"info":"NaN∇⊂⋱NaN=NaN","layer":1},{"info":"≮⫘↔11001110111001101≬⋮NaN=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"(≯($1568$⊬⨰$1213$⩧⪆$5749$∴$1371$))↓(↸⊣($1211$⋹⋡⊁$6362$⋝⋈⪟$1751$⫗⊷⫓$3338$))","expression":"(≯(≮⫘↔11000100000⊬⨰≮⫘↔10010111101⩧⪆≮⫘↔1011001110101∴≮⫘↔10101011011))↓(↸⊣(≮⫘↔10010111011⋹⋡⊁≮⫘↔1100011011010⋝⋈⪟≮⫘↔11011010111⫗⊷⫓≮⫘↔110100001010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2751349,"operation_count":9,"complexity_ratio":305705.44444444444,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1568,"base":2},"right_expr":{"type":"numeric_atoms","value":1213,"base":2}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5749,"base":2},"right_expr":{"type":"numeric_atoms","value":1371,"base":2}}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1211,"base":2},"right_expr":{"type":"numeric_atoms","value":6362,"base":2}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1751,"base":2},"right_expr":{"type":"numeric_atoms","value":3338,"base":2}}}}},"used_operators":["Af076pWI7l","keWfFq85dY","Ikt5ks8PT7","s3Fd5m9Dh2","hrf7POJlIJ","wztAlM01eG","2DDjHMKMc0","As8RqfVLgs","zashukvMKz"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","g55IO6H4Gj","JLbD19bQDL","eewbuw0ToL","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1568","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=1213, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5364","layer":3},{"info":"number node, value=5749","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=5749, right_input=1371, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=13146","layer":3},{"info":"compute binary expreesion, left_input=5364, right_input=13146, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-13146","layer":2},{"info":"compute unary expreesion, input=-13146, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1211","layer":4},{"info":"number node, value=6362","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=6362, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7112","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=3338","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=3338, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=7112, right_input=-134, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7112","layer":2},{"info":"compute unary expreesion, input=7112, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-6825","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-6825, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":2,"result_base":2,"text":"(≯(≮⫘↔11000100000⊬⨰≮⫘↔10010111101⩧⪆≮⫘↔1011001110101∴≮⫘↔10101011011))↓(↸⊣(≮⫘↔10010111011⋹⋡⊁≮⫘↔1100011011010⋝⋈⪟≮⫘↔11011010111⫗⊷⫓≮⫘↔110100001010))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=(≯(≮⫘↔11000100000⊬⨰≮⫘↔10010111101⩧⪆≮⫘↔1011001110101∴≮⫘↔10101011011))↓(↸⊣(≮⫘↔10010111011⋹⋡⊁≮⫘↔1100011011010⋝⋈⪟≮⫘↔11011010111⫗⊷⫓≮⫘↔110100001010))","cot":[{"info":"≮⫘↔11000100000⊬⨰≮⫘↔10010111101=≮⫘↔1010011110100","layer":3},{"info":"≮⫘↔1011001110101∴≮⫘↔10101011011=≮⫘↔11001101011010","layer":3},{"info":"≮⫘↔1010011110100⩧⪆≮⫘↔11001101011010=≮⫘↔-11001101011010","layer":2},{"info":"≯≮⫘↔-11001101011010=≮⫘↔0","layer":1},{"info":"≮⫘↔10010111011⋹⋡⊁≮⫘↔1100011011010=≮⫘↔1101111001000","layer":3},{"info":"≮⫘↔11011010111⫗⊷⫓≮⫘↔110100001010=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔1101111001000⋝⋈⪟≮⫘↔-10000110=≮⫘↔1101111001000","layer":2},{"info":"↸⊣≮⫘↔1101111001000=≮⫘↔-1101010101001","layer":1},{"info":"≮⫘↔0↓≮⫘↔-1101010101001=≮⫘↔-10000110","layer":0}]}
{"id":995,"expression_no_base_symbol":"⩒∊(≅≯⇸$1567$⨰$1737$↸($2822$⩅⪻⪻))","expression":"⩒∊(≅≯⇸≮⫘↔11000011111⨰≮⫘↔11011001001↸(≮⫘↔101100000110⩅⪻⪻))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":322,"operation_count":5,"complexity_ratio":64.4,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1567,"base":2},"right_expr":{"type":"numeric_atoms","value":1737,"base":2}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":2822,"base":2}}}}},"used_operators":["qazvmhNBbN","apS25hmuAe","1eCjFl0mb9","eewbuw0ToL","kHoXpA7yos"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","EBcxylXtPf","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"≮⫘↔11010000000101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1567","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=1737, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-160","layer":3},{"info":"number node, value=2822","layer":4},{"info":"compute unary expreesion, input=2822, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-417081","layer":3},{"info":"compute binary expreesion, left_input=-160, right_input=-417081, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-160","layer":2},{"info":"compute unary expreesion, input=-160, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7037","layer":1},{"info":"compute unary expreesion, input=7037, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=13317","layer":0}],"base":2,"result_base":2,"text":"⩒∊(≅≯⇸≮⫘↔11000011111⨰≮⫘↔11011001001↸(≮⫘↔101100000110⩅⪻⪻))=≮⫘↔11010000000101","reverse_text":"≮⫘↔11010000000101=⩒∊(≅≯⇸≮⫘↔11000011111⨰≮⫘↔11011001001↸(≮⫘↔101100000110⩅⪻⪻))","cot":[{"info":"≮⫘↔11000011111⨰≮⫘↔11011001001=≮⫘↔-10100000","layer":3},{"info":"≮⫘↔101100000110⩅⪻⪻=≮⫘↔-1100101110100111001","layer":3},{"info":"≮⫘↔-10100000↸≮⫘↔-1100101110100111001=≮⫘↔-10100000","layer":2},{"info":"≅≯⇸≮⫘↔-10100000=≮⫘↔1101101111101","layer":1},{"info":"⩒∊≮⫘↔1101101111101=≮⫘↔11010000000101","layer":0}]}
{"id":996,"expression_no_base_symbol":"($4426$⪔$2015$⊋≦⊧(≸$3071$))⨪↰⇹((⫡⇟⇯$1616$)⊓⋫)⪭≯(↩$1434$)≦↸($1925$→⨶⪴$1361$)∛($2809$⪛$8533$)⨐($2041$*$1648$)","expression":"(≮⫘↔1000101001010⪔≮⫘↔11111011111⊋≦⊧(≸≮⫘↔101111111111))⨪↰⇹((⫡⇟⇯≮⫘↔11001010000)⊓⋫)⪭≯(↩≮⫘↔10110011010)≦↸(≮⫘↔11110000101→⨶⪴≮⫘↔10101010001)∛(≮⫘↔101011111001⪛≮⫘↔10000101010101)⨐(≮⫘↔11111111001*≮⫘↔11001110000)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4284,"operation_count":14,"complexity_ratio":306.0,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":4426,"base":2},"right_expr":{"type":"numeric_atoms","value":2015,"base":2}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3071,"base":2}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1616,"base":2}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1434,"base":2}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1925,"base":2},"right_expr":{"type":"numeric_atoms","value":1361,"base":2}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2809,"base":2},"right_expr":{"type":"numeric_atoms","value":8533,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2041,"base":2},"right_expr":{"type":"numeric_atoms","value":1648,"base":2}}}}},"used_operators":["XAx5wpdLa6","tmPS8pqC7x","oRDoc9rAEX","GjBEYRfMaF","eOf03JbCpp","IqGBaFP0uj","qWUSsah53b","w2537kitQq","RygbFNSyEJ","jLgFTUHLKL","bF6eod5Gvf","Noe24qw2ks","uFcxV4UQCh","9HNa5Wba9A"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rJVOvQCfKK","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","P8v4zCKN1o","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","9FxExcQeMw","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4426","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=4426, right_input=2015, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3071","layer":4},{"info":"compute unary expreesion, input=3071, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=58, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=124","layer":2},{"info":"number node, value=1616","layer":4},{"info":"compute unary expreesion, input=1616, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4100","layer":3},{"info":"compute unary expreesion, input=4100, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-4228","layer":2},{"info":"compute binary expreesion, left_input=124, right_input=-4228, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=124","layer":1},{"info":"number node, value=1434","layer":4},{"info":"compute unary expreesion, input=1434, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8692","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1361, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4083","layer":3},{"info":"compute binary expreesion, left_input=-8692, right_input=-4083, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=9373","layer":2},{"info":"number node, value=2809","layer":4},{"info":"number node, value=8533","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=8533, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2809","layer":3},{"info":"number node, value=2041","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=1648, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3363568","layer":3},{"info":"compute binary expreesion, left_input=2809, right_input=3363568, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5618","layer":2},{"info":"compute binary expreesion, left_input=9373, right_input=-5618, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=124, right_input=67, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000101001010⪔≮⫘↔11111011111⊋≦⊧(≸≮⫘↔101111111111))⨪↰⇹((⫡⇟⇯≮⫘↔11001010000)⊓⋫)⪭≯(↩≮⫘↔10110011010)≦↸(≮⫘↔11110000101→⨶⪴≮⫘↔10101010001)∛(≮⫘↔101011111001⪛≮⫘↔10000101010101)⨐(≮⫘↔11111111001*≮⫘↔11001110000)=NaN","reverse_text":"NaN=(≮⫘↔1000101001010⪔≮⫘↔11111011111⊋≦⊧(≸≮⫘↔101111111111))⨪↰⇹((⫡⇟⇯≮⫘↔11001010000)⊓⋫)⪭≯(↩≮⫘↔10110011010)≦↸(≮⫘↔11110000101→⨶⪴≮⫘↔10101010001)∛(≮⫘↔101011111001⪛≮⫘↔10000101010101)⨐(≮⫘↔11111111001*≮⫘↔11001110000)","cot":[{"info":"≮⫘↔1000101001010⪔≮⫘↔11111011111=≮⫘↔111000010","layer":3},{"info":"≸≮⫘↔101111111111=≮⫘↔111010","layer":3},{"info":"≮⫘↔111000010⊋≦⊧≮⫘↔111010=≮⫘↔1111100","layer":2},{"info":"⫡⇟⇯≮⫘↔11001010000=≮⫘↔1000000000100","layer":3},{"info":"≮⫘↔1000000000100⊓⋫=≮⫘↔-1000010000100","layer":2},{"info":"≮⫘↔1111100⨪↰⇹≮⫘↔-1000010000100=≮⫘↔1111100","layer":1},{"info":"↩≮⫘↔10110011010=≮⫘↔-10000111110100","layer":3},{"info":"≮⫘↔11110000101→⨶⪴≮⫘↔10101010001=≮⫘↔-111111110011","layer":3},{"info":"≮⫘↔-10000111110100≦↸≮⫘↔-111111110011=≮⫘↔10010010011101","layer":2},{"info":"≮⫘↔101011111001⪛≮⫘↔10000101010101=≮⫘↔101011111001","layer":3},{"info":"≮⫘↔11111111001*≮⫘↔11001110000=≮⫘↔1100110101001011110000","layer":3},{"info":"≮⫘↔101011111001⨐≮⫘↔1100110101001011110000=≮⫘↔-1010111110010","layer":2},{"info":"≮⫘↔10010010011101∛≮⫘↔-1010111110010=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1111100⪭≯≮⫘↔1000011=NaN","layer":0}]}
{"id":997,"expression_no_base_symbol":"⫯(($4948$⫗⊷⫓$3243$⪇≇⋚$2886$→⨶⪴$1225$)≠≀($2257$≬⋮$4769$⋷$2778$⨸$1454$))","expression":"⫯((≮⫘↔1001101010100⫗⊷⫓≮⫘↔110010101011⪇≇⋚≮⫘↔101101000110→⨶⪴≮⫘↔10011001001)≠≀(≮⫘↔100011010001≬⋮≮⫘↔1001010100001⋷≮⫘↔101011011010⨸≮⫘↔10110101110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2522092,"operation_count":8,"complexity_ratio":315261.5,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4948,"base":2},"right_expr":{"type":"numeric_atoms","value":3243,"base":2}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2886,"base":2},"right_expr":{"type":"numeric_atoms","value":1225,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2257,"base":2},"right_expr":{"type":"numeric_atoms","value":4769,"base":2}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2778,"base":2},"right_expr":{"type":"numeric_atoms","value":1454,"base":2}}}}},"used_operators":["H6BK1Evt7c","IwW236VD4Y","3sJ7IOPOlU","zashukvMKz","bF6eod5Gvf","23Mk6UjR3U","kbkesczE7y","KmoU8R5UQR"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"≮⫘↔1011101101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4948","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=4948, right_input=3243, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2886","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=1225, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3675","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-3675, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=2257","layer":4},{"info":"number node, value=4769","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=4769, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2778","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=2778, right_input=1454, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5556","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=5556, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10244","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=10244, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=306","layer":1},{"info":"compute unary expreesion, input=306, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=5996","layer":0}],"base":2,"result_base":2,"text":"⫯((≮⫘↔1001101010100⫗⊷⫓≮⫘↔110010101011⪇≇⋚≮⫘↔101101000110→⨶⪴≮⫘↔10011001001)≠≀(≮⫘↔100011010001≬⋮≮⫘↔1001010100001⋷≮⫘↔101011011010⨸≮⫘↔10110101110))=≮⫘↔1011101101100","reverse_text":"≮⫘↔1011101101100=⫯((≮⫘↔1001101010100⫗⊷⫓≮⫘↔110010101011⪇≇⋚≮⫘↔101101000110→⨶⪴≮⫘↔10011001001)≠≀(≮⫘↔100011010001≬⋮≮⫘↔1001010100001⋷≮⫘↔101011011010⨸≮⫘↔10110101110))","cot":[{"info":"≮⫘↔1001101010100⫗⊷⫓≮⫘↔110010101011=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔101101000110→⨶⪴≮⫘↔10011001001=≮⫘↔-111001011011","layer":3},{"info":"≮⫘↔-10000110⪇≇⋚≮⫘↔-111001011011=≮⫘↔0","layer":2},{"info":"≮⫘↔100011010001≬⋮≮⫘↔1001010100001=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔101011011010⨸≮⫘↔10110101110=≮⫘↔1010110110100","layer":3},{"info":"≮⫘↔1101100100⋷≮⫘↔1010110110100=≮⫘↔10100000000100","layer":2},{"info":"≮⫘↔0≠≀≮⫘↔10100000000100=≮⫘↔100110010","layer":1},{"info":"⫯≮⫘↔100110010=≮⫘↔1011101101100","layer":0}]}
{"id":998,"expression_no_base_symbol":"(⨩∲⋌($2017$⇷$3613$)≴⪞⇿($1533$↓$6398$))⪷","expression":"(⨩∲⋌(≮⫘↔11111100001⇷≮⫘↔111000011101)≴⪞⇿(≮⫘↔10111111101↓≮⫘↔1100011111110))⪷","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":125114,"operation_count":5,"complexity_ratio":25022.8,"tree":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2017,"base":2},"right_expr":{"type":"numeric_atoms","value":3613,"base":2}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1533,"base":2},"right_expr":{"type":"numeric_atoms","value":6398,"base":2}}}}},"used_operators":["Qctrpi3WzA","aSik1wnThz","lvlrscuwVU","mp7IySMOzn","Af076pWI7l"],"dependent_operators":["Nsiff2A1zJ","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2017","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=3613, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7226","layer":3},{"info":"number node, value=1533","layer":4},{"info":"number node, value=6398","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=6398, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=7226, right_input=-134, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=96675665","layer":2},{"info":"compute unary expreesion, input=96675665, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-96676188","layer":1},{"info":"compute unary expreesion, input=-96676188, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨩∲⋌(≮⫘↔11111100001⇷≮⫘↔111000011101)≴⪞⇿(≮⫘↔10111111101↓≮⫘↔1100011111110))⪷=NaN","reverse_text":"NaN=(⨩∲⋌(≮⫘↔11111100001⇷≮⫘↔111000011101)≴⪞⇿(≮⫘↔10111111101↓≮⫘↔1100011111110))⪷","cot":[{"info":"≮⫘↔11111100001⇷≮⫘↔111000011101=≮⫘↔1110000111010","layer":3},{"info":"≮⫘↔10111111101↓≮⫘↔1100011111110=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔1110000111010≴⪞⇿≮⫘↔-10000110=≮⫘↔101110000110010011101010001","layer":2},{"info":"⨩∲⋌≮⫘↔101110000110010011101010001=≮⫘↔-101110000110010100101011100","layer":1},{"info":"≮⫘↔-101110000110010100101011100⪷=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"(⪓⩚($1700$↹⊜$6174$∠⫱$1119$⩘$3483$))⨚⇆(⊀(⇺⋃$1245$)⨪↰⇹$1239$↼⊘⨖$1388$)","expression":"(⪓⩚(≮⫘↔11010100100↹⊜≮⫘↔1100000011110∠⫱≮⫘↔10001011111⩘≮⫘↔110110011011))⨚⇆(⊀(⇺⋃≮⫘↔10011011101)⨪↰⇹≮⫘↔10011010111↼⊘⨖≮⫘↔10101101100)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3756,"operation_count":9,"complexity_ratio":417.3333333333333,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1700,"base":2},"right_expr":{"type":"numeric_atoms","value":6174,"base":2}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1119,"base":2},"right_expr":{"type":"numeric_atoms","value":3483,"base":2}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1245,"base":2}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1239,"base":2},"right_expr":{"type":"numeric_atoms","value":1388,"base":2}}}}},"used_operators":["lwHaAYXP2r","u0R0Locfp2","QvoQhV0rrE","9bazX3JMtO","cHh1gJQ2o6","oPMjh9089D","tmPS8pqC7x","E5v5B3UAjG","bPywburJMS"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rJVOvQCfKK","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1700","layer":4},{"info":"number node, value=6174","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=6174, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-21392","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=3483","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=3483, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-21392, right_input=160, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-21552","layer":2},{"info":"compute unary expreesion, input=-21552, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1388, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2554","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2554, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"(⪓⩚(≮⫘↔11010100100↹⊜≮⫘↔1100000011110∠⫱≮⫘↔10001011111⩘≮⫘↔110110011011))⨚⇆(⊀(⇺⋃≮⫘↔10011011101)⨪↰⇹≮⫘↔10011010111↼⊘⨖≮⫘↔10101101100)=-Inf","reverse_text":"-Inf=(⪓⩚(≮⫘↔11010100100↹⊜≮⫘↔1100000011110∠⫱≮⫘↔10001011111⩘≮⫘↔110110011011))⨚⇆(⊀(⇺⋃≮⫘↔10011011101)⨪↰⇹≮⫘↔10011010111↼⊘⨖≮⫘↔10101101100)","cot":[{"info":"≮⫘↔11010100100↹⊜≮⫘↔1100000011110=≮⫘↔-101001110010000","layer":3},{"info":"≮⫘↔10001011111⩘≮⫘↔110110011011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-101001110010000∠⫱≮⫘↔10100000=≮⫘↔-101010000110000","layer":2},{"info":"⪓⩚≮⫘↔-101010000110000=≮⫘↔110101010","layer":1},{"info":"⇺⋃≮⫘↔10011011101=NaN","layer":3},{"info":"≮⫘↔10011010111↼⊘⨖≮⫘↔10101101100=≮⫘↔100111111010","layer":3},{"info":"NaN⨪↰⇹≮⫘↔100111111010=NaN","layer":2},{"info":"⊀NaN=NaN","layer":1},{"info":"≮⫘↔110101010⨚⇆NaN=-Inf","layer":0}]}
{"id":1000,"expression_no_base_symbol":"($1012$≀⩗∶$3668$)⨜⨶$9239$⫗⊷⫓$3769$↹⊜(≦∁(⪭⩑⪱$2767$))⪇≇⋚($1849$⪭$7934$+⇶⊼$8837$⨟⋌⩍$3398$)∀⇚≩(⇖($1053$⋷$3369$))","expression":"(≮⫘↔1111110100≀⩗∶≮⫘↔111001010100)⨜⨶≮⫘↔10010000010111⫗⊷⫓≮⫘↔111010111001↹⊜(≦∁(⪭⩑⪱≮⫘↔101011001111))⪇≇⋚(≮⫘↔11100111001⪭≮⫘↔1111011111110+⇶⊼≮⫘↔10001010000101⨟⋌⩍≮⫘↔110101000110)∀⇚≩(⇖(≮⫘↔10000011101⋷≮⫘↔110100101001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3192096,"operation_count":13,"complexity_ratio":245545.84615384616,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":3668,"base":2}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":9239,"base":2},"right_expr":{"type":"numeric_atoms","value":3769,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2767,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1849,"base":2},"right_expr":{"type":"numeric_atoms","value":7934,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8837,"base":2},"right_expr":{"type":"numeric_atoms","value":3398,"base":2}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1053,"base":2},"right_expr":{"type":"numeric_atoms","value":3369,"base":2}}}}},"used_operators":["3sJ7IOPOlU","9bazX3JMtO","HiPekx5b7W","8INZBEW696","zashukvMKz","9ICcGScMcE","SIgE0bArFf","LRNGc0VcxI","TpPTUOHfaN","j9kHMeSvPp","rGHVDoGpnC","tfWHHpNKUN","23Mk6UjR3U"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","X99M06cbEe","AHs5Up7iyr","COABgblf1C","xUOZtlo3hN","Tcnh7f0tEr","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"number node, value=3668","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3668, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-9","layer":3},{"info":"number node, value=9239","layer":4},{"info":"number node, value=3769","layer":4},{"info":"compute binary expreesion, left_input=9239, right_input=3769, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=-134, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-111","layer":2},{"info":"number node, value=2767","layer":4},{"info":"compute unary expreesion, input=2767, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-111, right_input=8320752, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-66566112","layer":1},{"info":"number node, value=1849","layer":4},{"info":"number node, value=7934","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=7934, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=8837","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=8837, right_input=3398, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1053","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=3369, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5685","layer":3},{"info":"compute unary expreesion, input=5685, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-66566112, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111110100≀⩗∶≮⫘↔111001010100)⨜⨶≮⫘↔10010000010111⫗⊷⫓≮⫘↔111010111001↹⊜(≦∁(⪭⩑⪱≮⫘↔101011001111))⪇≇⋚(≮⫘↔11100111001⪭≮⫘↔1111011111110+⇶⊼≮⫘↔10001010000101⨟⋌⩍≮⫘↔110101000110)∀⇚≩(⇖(≮⫘↔10000011101⋷≮⫘↔110100101001))=NaN","reverse_text":"NaN=(≮⫘↔1111110100≀⩗∶≮⫘↔111001010100)⨜⨶≮⫘↔10010000010111⫗⊷⫓≮⫘↔111010111001↹⊜(≦∁(⪭⩑⪱≮⫘↔101011001111))⪇≇⋚(≮⫘↔11100111001⪭≮⫘↔1111011111110+⇶⊼≮⫘↔10001010000101⨟⋌⩍≮⫘↔110101000110)∀⇚≩(⇖(≮⫘↔10000011101⋷≮⫘↔110100101001))","cot":[{"info":"≮⫘↔1111110100≀⩗∶≮⫘↔111001010100=≮⫘↔-1001","layer":3},{"info":"≮⫘↔10010000010111⫗⊷⫓≮⫘↔111010111001=≮⫘↔-10000110","layer":3},{"info":"≮⫘↔-1001⨜⨶≮⫘↔-10000110=≮⫘↔-1101111","layer":2},{"info":"⪭⩑⪱≮⫘↔101011001111=≮⫘↔11111101111011011110000","layer":3},{"info":"≦∁≮⫘↔11111101111011011110000=≮⫘↔11111101111011011110000","layer":2},{"info":"≮⫘↔-1101111↹⊜≮⫘↔11111101111011011110000=≮⫘↔-11111101111011011111100000","layer":1},{"info":"≮⫘↔11100111001⪭≮⫘↔1111011111110=≮⫘↔101","layer":3},{"info":"≮⫘↔10001010000101⨟⋌⩍≮⫘↔110101000110=NaN","layer":3},{"info":"≮⫘↔101+⇶⊼NaN=NaN","layer":2},{"info":"≮⫘↔10000011101⋷≮⫘↔110100101001=≮⫘↔1011000110101","layer":3},{"info":"⇖≮⫘↔1011000110101=≮⫘↔10100000","layer":2},{"info":"NaN∀⇚≩≮⫘↔10100000=NaN","layer":1},{"info":"≮⫘↔-11111101111011011111100000⪇≇⋚NaN=NaN","layer":0}]}